version stringclasses 1
value | hypothesis stringlengths 9 94 | hypothesis_formula stringlengths 3 39 | facts stringlengths 21 1.56k | facts_formula stringlengths 10 810 | proofs listlengths 0 1 | proofs_formula listlengths 0 1 | negative_hypothesis stringlengths 8 75 â | negative_hypothesis_formula stringlengths 3 37 â | negative_proofs listlengths 0 1 | negative_original_tree_depth int64 1 23 â | original_tree_steps int64 1 1 | original_tree_depth int64 1 1 | steps int64 0 1 â | depth int64 0 1 â | num_formula_distractors int64 0 20 | num_translation_distractors int64 0 0 | num_all_distractors int64 0 20 | proof_label stringclasses 3
values | negative_proof_label stringclasses 2
values | world_assump_label stringclasses 3
values | negative_world_assump_label stringclasses 2
values | prompt_serial stringlengths 75 1.62k | proof_serial stringlengths 11 50 | prompt_serial_formula stringlengths 54 885 | proof_serial_formula stringlengths 11 50 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.3 | ãä»®ã«ãã®ãœããœã¡ãLv.84ã¯ééç¡ããšããããšã¯ãªããšããã°ããã®ãœããœã¡ãLv.84ã¯è»œã
ãããªããŠãã€åŸ¡ãã§ãããšããããšã¯ãªãããšããããšã¯ééãã§ããããšããããšã¯æãç«ããªã | ¬(¬{A}{aa} -> ¬(¬{AA}{aa} & ¬{AB}{aa})) | fact1: ä»®ã«ããã®ãœããœã¡ãLv.84ã¯ééç¡ãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšããã¯è»œã
ãããªãããŸã埡ãã§ãããªã fact2: ãããããã¢ã³ã¹ã¿ãŒã¯ééç¡ããšããããšã¯ãªããšãããã軜ã
ããã埡ãã§ãããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªã fact3: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ééç¡ããšãããšãããã¯è»œã
ãããªããŠããã埡ãã§ãããªãããšããããšã¯äºå®ã ãšããããšã¯ãªã fact4: ããä»®ã«ãã®ãœããœã¡ãLv.84ã¯ééç¡ããªããšãããããã®ãœããœã¡ãLv.84ã¯è»œã
ããã埡ãã§ãããªãããšããããšã¯èª€ãã§ãã fact5: ããããã®ãœããœã¡ãLv.84ã¯ééç¡ããªãããã®ãœããœã¡ãLv... | fact1: ¬{A}{aa} -> (¬{AA}{aa} & ¬{AB}{aa}) fact2: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact3: (x): {A}x -> ¬(¬{AA}x & ¬{AB}x) fact4: ¬{A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}) fact5: {A}{aa} -> ¬(¬{AA}{aa} & ¬{AB}{aa}) fact6: (x): ¬{A}x -> ¬(¬{AA}x & ¬{AB}x) fact7: (x): ¬{A}x -> (¬{AA}x & ¬{AB}x) fact8: (x): ¬{HE}x -> ¬(¬{AA}x & ¬... | [
"fact6 -> hypothesis;"
] | [
"fact6 -> hypothesis;"
] | ããããã®ãœããœã«Lv.92ã¯å¿ãŸããããªãããšããããšã¯åã§ãªããªãã°ããã®ãœããœã«Lv.92ã¯è»œã
ãããªãããŽã«ãããªãããšããããšã¯ééãã§ãã | ¬{HE}{id} -> ¬(¬{AA}{id} & ¬{FG}{id}) | [
"fact10 -> hypothesis;"
] | 1 | 1 | 1 | 1 | 1 | 8 | 0 | 8 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ä»®ã«ããã®ãœããœã¡ãLv.84ã¯ééç¡ãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšããã¯è»œã
ãããªãããŸã埡ãã§ãããªã fact2: ãããããã¢ã³ã¹ã¿ãŒã¯ééç¡ããšããããšã¯ãªããšãããã軜ã
ããã埡ãã§ãããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªã fact3: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ééç¡ããšãããšãããã¯è»œã
ãããªããŠããã埡ãã§ãããªãããšããããšã¯äºå®ã ãšããããšã¯ãªã fact4: ããä»®ã«ãã®ãœããœã¡ãLv.84ã¯ééç¡ããªããšãããããã®ãœããœã¡ãLv.84ã¯è»œã
ããã埡ãã§ãããªãããšããããšã¯èª€ãã§ãã fact5: ããããã®ãœããœã¡ãLv.84ã¯ééç¡ããªã... | fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{aa} -> (¬{AA}{aa} & ¬{AB}{aa}) fact2: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact3: (x): {A}x -> ¬(¬{AA}x & ¬{AB}x) fact4: ¬{A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}) fact5: {A}{aa} -> ¬(¬{AA}{aa} & ¬{AB}{aa}) fact6: (x): ¬{A}x -> ¬(¬{AA}x & ¬{AB}x) fact7: (x): ¬{A}x -> (¬{AA}x & ¬{AB}x) fact8: (x): ¬{HE}x -> ¬(... | fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãããã¡ãLv.96ã¯æããªã | ¬{C}{c} | fact1: ããã®ãœããœãLv.77ã¯æ©ããæ²ããããšããããšã¯çå®ã§ãããšãããšãã®ãããã¡ãLv.96ã¯æãã fact2: ããããã®ãœããœãLv.77ãçŸããæããšããããã®ãããã¡ãLv.96ã¯æãã fact3: ããšããã¢ã³ã¹ã¿ãŒãæãããšããã°æ©ããæ²ãããšããããšã¯ãªããçŸããæãããšããããšã¯æãç«ã€ fact4: ãã®ãœããœãLv.77ã¯çŸããæãããããã¯æ©ããæ²ãããäž¡æ¹ã§ãã | fact1: {B}{a} -> {C}{c} fact2: {A}{a} -> {C}{c} fact3: (x): {C}x -> (¬{B}x & {A}x) fact4: ({A}{a} v {B}{a}) | [
"fact4 & fact2 & fact1 -> hypothesis;"
] | [
"fact4 & fact2 & fact1 -> hypothesis;"
] | ãã®ãœããœãLv.77ã¯æ»ãæããçŸããæãããŸãã¯ã©ã¡ããã§ãã | ({BP}{a} v {A}{a}) | [
"fact5 -> int1: ãã®ãœããœãLv.77ã¯æãããšãããšãæ©ããæ²ãããªãããã©çŸããæãããšããããšã¯æãç«ã€;"
] | 5 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããã®ãœããœãLv.77ã¯æ©ããæ²ããããšããããšã¯çå®ã§ãããšãããšãã®ãããã¡ãLv.96ã¯æãã fact2: ããããã®ãœããœãLv.77ãçŸããæããšããããã®ãããã¡ãLv.96ã¯æãã fact3: ããšããã¢ã³ã¹ã¿ãŒãæãããšããã°æ©ããæ²ãããšããããšã¯ãªããçŸããæãããšããããšã¯æãç«ã€ fact4: ãã®ãœããœãLv.77ã¯çŸããæãããããã¯æ©ããæ²ãããäž¡æ¹ã§ãã ; $hypothesis$ = ãã®ãããã¡ãLv.96ã¯æããªã ; $proof$ = | fact4 & fact2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} -> {C}{c} fact2: {A}{a} -> {C}{c} fact3: (x): {C}x -> (¬{B}x & {A}x) fact4: ({A}{a} v {B}{a}) ; $hypothesis$ = ¬{C}{c} ; $proof$ = | fact4 & fact2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãããã®ããããLv.50ã¯äŒããé£ããŠè¶è²ãããšããããšã¯æ¬åœã§ããããšããããšã¯åœã | ¬({AA}{b} & {AB}{b}) | fact1: ãããšããã¢ã³ã¹ã¿ãŒã¯è¡ãå
ŒããªããšãããšãäŒããé£ããŠããã«è¶è²ãããšããããšã¯äºå®ãšç°ãªã fact2: 埡匷ããªãã¢ã³ã¹ã¿ãŒã矚ãŸãããªãã°åºåããªã fact3: ä»®ã«ããã®ãŽã«ããŽãLv.77ã¯è¡ãå
Œããªãããšããããšã¯æãç«ãŠã°ãã®ããããLv.50ã¯è¶è²ã fact4: 矚ãŸããã¢ã³ã¹ã¿ãŒã¯åŸ¡åŒ·ããåºåããªã fact5: ãããäœããã®ã¢ã³ã¹ã¿ãŒãåºåããªããšããã°è¡ãå
ŒããªããŠãããããã¯æãæããªã fact6: ãã®ããããLv.50ã¯è¶è²ã fact7: ãªãããã®ã¢ã³ã¹ã¿ãŒãåºåããªããªãã°ããã¯æãæããŠããã«ããã¯è¡ãå
Œãã fact8: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯åŸ¡åŒ·ããªããªããåºåãã... | fact1: (x): ¬{A}x -> ¬({AA}x & {AB}x) fact2: (x): (¬{D}x & {E}x) -> ¬{C}x fact3: ¬{A}{a} -> {AB}{b} fact4: (x): {E}x -> ({D}x & ¬{C}x) fact5: (x): ¬{C}x -> (¬{A}x & ¬{B}x) fact6: {AB}{b} fact7: (x): ¬{C}x -> ({B}x & {A}x) fact8: (x): ¬{D}x -> ¬({C}x & {B}x) fact9: (x): ({F}x & ¬{E}x) -> ¬{D}x fact10: ¬{A}{a} -> ({AA}{b... | [
"fact10 & fact12 -> hypothesis;"
] | [
"fact10 & fact12 -> hypothesis;"
] | ãããã®ããããLv.50ã¯äŒããé£ããŠè¶è²ãããšããããšã¯æ¬åœã§ããããšããããšã¯åœã | ¬({AA}{b} & {AB}{b}) | [
"fact19 -> int1: ããä»®ã«ãã®ããããLv.50ã¯è¡ãå
Œããªããªãããããã¯äŒããé£ããè¶è²ãããšããããšã¯äºå®ã§ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã; fact18 -> int2: ããä»®ã«ãã®ããããLv.50ãåºåããªããšãããšè¡ãå
ŒããªããŠããã«æãæããªã; fact17 -> int3: ããããã®ããããLv.50ã¯åŸ¡åŒ·ããªããã©çŸšãŸãããªãã°åºåããªã;"
] | 5 | 1 | 1 | 1 | 1 | 14 | 0 | 14 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããšããã¢ã³ã¹ã¿ãŒã¯è¡ãå
ŒããªããšãããšãäŒããé£ããŠããã«è¶è²ãããšããããšã¯äºå®ãšç°ãªã fact2: 埡匷ããªãã¢ã³ã¹ã¿ãŒã矚ãŸãããªãã°åºåããªã fact3: ä»®ã«ããã®ãŽã«ããŽãLv.77ã¯è¡ãå
Œããªãããšããããšã¯æãç«ãŠã°ãã®ããããLv.50ã¯è¶è²ã fact4: 矚ãŸããã¢ã³ã¹ã¿ãŒã¯åŸ¡åŒ·ããåºåããªã fact5: ãããäœããã®ã¢ã³ã¹ã¿ãŒãåºåããªããšããã°è¡ãå
ŒããªããŠãããããã¯æãæããªã fact6: ãã®ããããLv.50ã¯è¶è²ã fact7: ãªãããã®ã¢ã³ã¹ã¿ãŒãåºåããªããªãã°ããã¯æãæããŠããã«ããã¯è¡ãå
Œãã fact8: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯åŸ¡åŒ·... | fact10 & fact12 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{A}x -> ¬({AA}x & {AB}x) fact2: (x): (¬{D}x & {E}x) -> ¬{C}x fact3: ¬{A}{a} -> {AB}{b} fact4: (x): {E}x -> ({D}x & ¬{C}x) fact5: (x): ¬{C}x -> (¬{A}x & ¬{B}x) fact6: {AB}{b} fact7: (x): ¬{C}x -> ({B}x & {A}x) fact8: (x): ¬{D}x -> ¬({C}x & {B}x) fact9: (x): ({F}x & ¬{E}x) -> ¬{D}x fact10: ¬{A}{a} ... | fact10 & fact12 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.0ã¯æŽ»çšãæãäžæ¹ã§ç©åããªã | ({AA}{b} & ¬{AB}{b}) | fact1: ããããã®ãœãªãœãLv.37ãä¹±ãå§ãããšããããšã¯ãªããšãããšãã®ãŽããŽãLv.0ã¯æŽ»çšãæãããã©ç©åããªã fact2: ããä»®ã«ãã®ãœãªãœãLv.37ã¯æŽ»çšãæããªããšãããããã®ãŽããŽãLv.0ã¯ä¹±ãå§ããããšããããšã¯æãç«ã€ fact3: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯ä¹±ãå§ããªããšããã°ã掻çšãæãããã©ç©åããªãããšããããšã¯æãç«ããªã fact4: ãã®ãŽããŽãLv.0ãä¹±ãå§ããªããšããã°ãã®ãœãªãœãLv.37ã¯ç©åã fact5: ãã®ããããLv.10ã¯æŽ»çšãæããªã fact6: ãã®ãœãªãœãLv.37ã¯ä¹±ãå§ããªã fact7: ãã®ãŽããŽãLv.0ã¯ç©åããªã fact8: ãã®ãŽããŽã... | fact1: ¬{A}{a} -> ({AA}{b} & ¬{AB}{b}) fact2: ¬{AA}{a} -> {A}{b} fact3: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact4: ¬{A}{b} -> {AB}{a} fact5: ¬{AA}{bk} fact6: ¬{A}{a} fact7: ¬{AB}{b} fact8: ({A}{b} & ¬{AB}{b}) fact9: {C}{c} -> (¬{A}{a} v {B}{a}) fact10: (x): {A}x -> ({AP}x & ¬{BS}x) | [
"fact1 & fact6 -> hypothesis;"
] | [
"fact1 & fact6 -> hypothesis;"
] | ããã®ãŽããŽãLv.0ã¯æŽ»çšãæããã©ç©åããšããããšã¯ãªãããšããããšã¯æ£ãããªã | ¬({AA}{b} & ¬{AB}{b}) | [
"fact12 -> int1: ããä»®ã«ãã®ãŽããŽãLv.0ã¯ä¹±ãå§ããªããšããã°ããã®ãŽããŽãLv.0ã¯æŽ»çšãæããç©åããªãããšããããšã¯æ¬åœã§ãªã;"
] | 6 | 1 | 1 | 1 | 1 | 8 | 0 | 8 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ãœãªãœãLv.37ãä¹±ãå§ãããšããããšã¯ãªããšãããšãã®ãŽããŽãLv.0ã¯æŽ»çšãæãããã©ç©åããªã fact2: ããä»®ã«ãã®ãœãªãœãLv.37ã¯æŽ»çšãæããªããšãããããã®ãŽããŽãLv.0ã¯ä¹±ãå§ããããšããããšã¯æãç«ã€ fact3: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯ä¹±ãå§ããªããšããã°ã掻çšãæãããã©ç©åããªãããšããããšã¯æãç«ããªã fact4: ãã®ãŽããŽãLv.0ãä¹±ãå§ããªããšããã°ãã®ãœãªãœãLv.37ã¯ç©åã fact5: ãã®ããããLv.10ã¯æŽ»çšãæããªã fact6: ãã®ãœãªãœãLv.37ã¯ä¹±ãå§ããªã fact7: ãã®ãŽããŽãLv.0ã¯ç©åããªã fac... | fact1 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} -> ({AA}{b} & ¬{AB}{b}) fact2: ¬{AA}{a} -> {A}{b} fact3: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact4: ¬{A}{b} -> {AB}{a} fact5: ¬{AA}{bk} fact6: ¬{A}{a} fact7: ¬{AB}{b} fact8: ({A}{b} & ¬{AB}{b}) fact9: {C}{c} -> (¬{A}{a} v {B}{a}) fact10: (x): {A}x -> ({AP}x & ¬{BS}x) ; $hypothesis$ = ({AA}{b} & ¬{A... | fact1 & fact6 -> hypothesis; __PROVED__ |
0.3 | ããã¡ãããLv.68äºä»¶ã§ã¯ãªãçãäžžããšããããšãèµ·ããããšããããšã¯æãç«ããªã | ¬(¬{A} & {B}) | fact1: ããä»®ã«ãå
èŠãããšããããšãçºçãããçãäžžããšããããšã¯çºçããããšããããšã¯èª€ããªãã°çãäžžããšããããšã¯èµ·ããªã fact2: å
èŠãããšããããšã¯çããªããšãããããã¡ãããLv.68äºä»¶ã¯èµ·ããªãäžæ¹ã§çãäžžããšããããšãçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact3: çãäžžããšããããšãçºçãã fact4: çŽåããããšãçºçãããã©éããšããããšã¯èµ·ããªããªãã°å
èŠãããšããããšã¯çããªã fact5: ãããå°€ãããããšããããšã¯çããªããŠãã¡ãããLv.68äºä»¶ã¯çºçããªãããšããããšã¯çå®ã§ãªããªãã°ãå°€ãããããšããããšãçºçããããšããããšã¯çå®ã fact6: ãã¡ãããLv.... | fact1: ¬({C} & {B}) -> ¬{B} fact2: ¬{C} -> ¬(¬{A} & {B}) fact3: {B} fact4: ({D} & ¬{E}) -> ¬{C} fact5: ¬(¬{FG} & ¬{A}) -> {FG} fact6: ¬{A} fact7: ¬{B} -> ¬(¬{FG} & ¬{A}) | [
"fact6 & fact3 -> hypothesis;"
] | [
"fact6 & fact3 -> hypothesis;"
] | å°€ãããããšããããšãçãã | {FG} | [] | 8 | 1 | 1 | 1 | 1 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãå
èŠãããšããããšãçºçãããçãäžžããšããããšã¯çºçããããšããããšã¯èª€ããªãã°çãäžžããšããããšã¯èµ·ããªã fact2: å
èŠãããšããããšã¯çããªããšãããããã¡ãããLv.68äºä»¶ã¯èµ·ããªãäžæ¹ã§çãäžžããšããããšãçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact3: çãäžžããšããããšãçºçãã fact4: çŽåããããšãçºçãããã©éããšããããšã¯èµ·ããªããªãã°å
èŠãããšããããšã¯çããªã fact5: ãããå°€ãããããšããããšã¯çããªããŠãã¡ãããLv.68äºä»¶ã¯çºçããªãããšããããšã¯çå®ã§ãªããªãã°ãå°€ãããããšããããšãçºçããããšããããšã¯çå®ã fact6... | fact6 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬({C} & {B}) -> ¬{B} fact2: ¬{C} -> ¬(¬{A} & {B}) fact3: {B} fact4: ({D} & ¬{E}) -> ¬{C} fact5: ¬(¬{FG} & ¬{A}) -> {FG} fact6: ¬{A} fact7: ¬{B} -> ¬(¬{FG} & ¬{A}) ; $hypothesis$ = ¬(¬{A} & {B}) ; $proof$ = | fact6 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ã«Lv.12ã¯ä¿®æ£ããªã | ¬{B}{b} | fact1: ä»®ã«ãã®ãããã«Lv.87ãèãæ·±ããªããšããããã®ã·ãã·ã«Lv.12ã¯ä¿®æ£ãããšããããšã¯ãªã fact2: ããããã®ãããã«Lv.87ããããŸãããªãããŸãã¯ãã°ãã°ãããªããäž¡æ¹ãªãã°ãã®ã·ãã·ã«Lv.12ã¯èãæ·±ããªã fact3: ããã®ã·ãã·ã«Lv.12ã¯é£²ããããããèª¿ã¹æããªãããšããããšã¯æãç«ããªã fact4: ããä»®ã«ãã®ãããã«Lv.87ãä¿®æ£ããªããªãã°ãã®ã·ãã·ã«Lv.12ã¯èãæ·±ããªã fact5: ãããããã®ã·ãã·ã«Lv.12ã¯é£²ããäžæ¹ã§èª¿ã¹æããšããããšã¯ãªãããšããããšã¯èª€ãã ãšãããšãã®ã·ãã·ã«Lv.12ã¯èª¿ã¹æã fact6: ããä»®ã«ããã®ãããã«Lv.87ã¯èãæ·±ããª... | fact1: ¬{A}{a} -> ¬{B}{b} fact2: (¬{E}{a} v ¬{D}{a}) -> ¬{A}{b} fact3: ¬({I}{b} & ¬{C}{b}) fact4: ¬{B}{a} -> ¬{A}{b} fact5: ¬({I}{b} & ¬{C}{b}) -> {C}{b} fact6: ¬(¬{A}{a} v ¬{B}{a}) -> ¬{A}{gs} fact7: (x): ¬{E}x -> ({D}x & {C}x) fact8: (x): ({C}x & ¬{A}x) -> {B}x fact9: (x): {I}x -> ¬(¬{G}x & ¬{H}x) fact10: {F}{c} -> (... | [] | [] | ãã®ãããã«ã
Lv.45ã¯èãæ·±ããšããããšã¯ãªã | ¬{A}{gs} | [
"fact19 -> int1: ãã®ãããã«Lv.87ããããŸãããªããªãã°ããã¯ãã°ãã°ãããèª¿ã¹æã; fact18 -> int2: ããä»®ã«ãã®ãŸã¡ã
ãŸã¡ãLv.33ã¯é£²ãããšããããæãæ®ããªããæŽã«ãã£ãšãããšããããšã¯ãªãããšããããšã¯æãç«ããªã;"
] | 9 | 1 | 1 | null | null | 14 | 0 | 14 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãããã«Lv.87ãèãæ·±ããªããšããããã®ã·ãã·ã«Lv.12ã¯ä¿®æ£ãããšããããšã¯ãªã fact2: ããããã®ãããã«Lv.87ããããŸãããªãããŸãã¯ãã°ãã°ãããªããäž¡æ¹ãªãã°ãã®ã·ãã·ã«Lv.12ã¯èãæ·±ããªã fact3: ããã®ã·ãã·ã«Lv.12ã¯é£²ããããããèª¿ã¹æããªãããšããããšã¯æãç«ããªã fact4: ããä»®ã«ãã®ãããã«Lv.87ãä¿®æ£ããªããªãã°ãã®ã·ãã·ã«Lv.12ã¯èãæ·±ããªã fact5: ãããããã®ã·ãã·ã«Lv.12ã¯é£²ããäžæ¹ã§èª¿ã¹æããšããããšã¯ãªãããšããããšã¯èª€ãã ãšãããšãã®ã·ãã·ã«Lv.12ã¯èª¿ã¹æã fact6: ããä»®ã«ããã®ãããã«L... | __UNKNOWN__ | $facts$ = fact1: ¬{A}{a} -> ¬{B}{b} fact2: (¬{E}{a} v ¬{D}{a}) -> ¬{A}{b} fact3: ¬({I}{b} & ¬{C}{b}) fact4: ¬{B}{a} -> ¬{A}{b} fact5: ¬({I}{b} & ¬{C}{b}) -> {C}{b} fact6: ¬(¬{A}{a} v ¬{B}{a}) -> ¬{A}{gs} fact7: (x): ¬{E}x -> ({D}x & {C}x) fact8: (x): ({C}x & ¬{A}x) -> {B}x fact9: (x): {I}x -> ¬(¬{G}x & ¬{H}x) fact10: {... | __UNKNOWN__ |
0.3 | ãã®ã·ã¡ãã·ãLv.16ã¯ééãæã | {A}{a} | fact1: ãã®ã·ã¡ãã·ãLv.16ã¯ç ç®ããªã fact2: ãã®ãœããœã®Lv.97ã¯ééãæããšããããšã¯ãªã fact3: ãã®ãŸã¡ããŸãLv.5ã¯ééãæããªã fact4: ãã®ã·ã¡ãã·ãLv.16ã¯ä»èãæããªã fact5: ãã®ãŸããŸã¡ã
Lv.5ã¯ééãæããšããããšã¯ãªã fact6: ãã®ã·ã¡ãã·ãLv.16ã¯é
åããªã fact7: ãã®ãŽã¡ããŽãLv.7ã¯ééãæããªã fact8: ããä»®ã«å±ãããªãã¢ã³ã¹ã¿ãŒãæ²ãããªããšãããããã¯ééãæããªã fact9: ãã®ã·ã¡ãã·ãLv.16ã¯ä»»åœããªã fact10: ãã®ã·ãªã·ãLv.71ã¯ééãæããªã fact11: ãã®ãŸããŸã¡ã
Lv.13ã¯ééã... | fact1: ¬{BH}{a} fact2: ¬{A}{cg} fact3: ¬{A}{fj} fact4: ¬{AD}{a} fact5: ¬{A}{ct} fact6: ¬{AC}{a} fact7: ¬{A}{ch} fact8: (x): (¬{B}x & ¬{C}x) -> ¬{A}x fact9: ¬{CT}{a} fact10: ¬{A}{hr} fact11: ¬{A}{cj} fact12: ¬{AH}{a} fact13: ¬{EQ}{a} fact14: ¬{A}{a} | [
"fact14 -> hypothesis;"
] | [
"fact14 -> hypothesis;"
] | ãã®ãŸããŸã¡ã
Lv.96ã¯ééãæããšããããšã¯ãªã | ¬{A}{jj} | [
"fact15 -> int1: ããããã®ãŸããŸã¡ã
Lv.96ãå±ãããªããæ²ãããªããšããããã®ãŸããŸã¡ã
Lv.96ã¯ééãæããªã;"
] | 4 | 1 | 1 | 0 | 0 | 13 | 0 | 13 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ã¡ãã·ãLv.16ã¯ç ç®ããªã fact2: ãã®ãœããœã®Lv.97ã¯ééãæããšããããšã¯ãªã fact3: ãã®ãŸã¡ããŸãLv.5ã¯ééãæããªã fact4: ãã®ã·ã¡ãã·ãLv.16ã¯ä»èãæããªã fact5: ãã®ãŸããŸã¡ã
Lv.5ã¯ééãæããšããããšã¯ãªã fact6: ãã®ã·ã¡ãã·ãLv.16ã¯é
åããªã fact7: ãã®ãŽã¡ããŽãLv.7ã¯ééãæããªã fact8: ããä»®ã«å±ãããªãã¢ã³ã¹ã¿ãŒãæ²ãããªããšãããããã¯ééãæããªã fact9: ãã®ã·ã¡ãã·ãLv.16ã¯ä»»åœããªã fact10: ãã®ã·ãªã·ãLv.71ã¯ééãæããªã fact11: ãã®ãŸããŸã¡... | fact14 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{BH}{a} fact2: ¬{A}{cg} fact3: ¬{A}{fj} fact4: ¬{AD}{a} fact5: ¬{A}{ct} fact6: ¬{AC}{a} fact7: ¬{A}{ch} fact8: (x): (¬{B}x & ¬{C}x) -> ¬{A}x fact9: ¬{CT}{a} fact10: ¬{A}{hr} fact11: ¬{A}{cj} fact12: ¬{AH}{a} fact13: ¬{EQ}{a} fact14: ¬{A}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | fact14 -> hypothesis; __DISPROVED__ |
0.3 | 瀟äŒåŸ©åž°ããããšãçãããããããŸã¡ããŸãLv.70äºä»¶ã¯çºçããªã | ({AA} & ¬{AB}) | fact1: ãŸã¡ããŸãLv.70äºä»¶ã¯èµ·ããªã fact2: ããããã«ã
Lv.40äºä»¶ãèµ·ããããšããããšã¯è¿œåŸããããšã¯èµ·ããªããšããããšãé²ã fact3: 埡詳ãããšããããšãèµ·ãããšãããã瀟äŒåŸ©åž°ããããšãçããããŸã¡ããŸãLv.70äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: 埡詳ãããšããããšã¯ã軜ããšããããšãçãããã¿ãã¿ã¡ãLv.62äºä»¶ã¯èµ·ããªãããšããããšã«åž°çµãã fact5: ã·ã®ã·ãªLv.99äºä»¶ãçºçãããæŽ»åãé£ããšããããšã¯çããªã fact6: 埡詳ãããšããããšã¯éªéèããšããããšã«èµ·å ãã fact7: ããå°æ°å³è¯ããšããããšã¯çããªããšããããããã«ã
Lv.40... | fact1: ¬{AB} fact2: {D} -> {C} fact3: {A} -> ¬({AA} & ¬{AB}) fact4: {A} -> ({BM} & ¬{GG}) fact5: ({EQ} & ¬{ER}) fact6: {B} -> {A} fact7: ¬{F} -> ({D} & {E}) fact8: {C} -> {B} | [] | [] | ã瀟äŒåŸ©åž°ããããšã¯çºçããããŸã¡ããŸãLv.70äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({AA} & ¬{AB}) | [] | 10 | 1 | 1 | null | null | 8 | 0 | 8 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãŸã¡ããŸãLv.70äºä»¶ã¯èµ·ããªã fact2: ããããã«ã
Lv.40äºä»¶ãèµ·ããããšããããšã¯è¿œåŸããããšã¯èµ·ããªããšããããšãé²ã fact3: 埡詳ãããšããããšãèµ·ãããšãããã瀟äŒåŸ©åž°ããããšãçããããŸã¡ããŸãLv.70äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: 埡詳ãããšããããšã¯ã軜ããšããããšãçãããã¿ãã¿ã¡ãLv.62äºä»¶ã¯èµ·ããªãããšããããšã«åž°çµãã fact5: ã·ã®ã·ãªLv.99äºä»¶ãçºçãããæŽ»åãé£ããšããããšã¯çããªã fact6: 埡詳ãããšããããšã¯éªéèããšããããšã«èµ·å ãã fact7: ããå°æ°å³è¯ããšããããšã¯çããªããšããã... | __UNKNOWN__ | $facts$ = fact1: ¬{AB} fact2: {D} -> {C} fact3: {A} -> ¬({AA} & ¬{AB}) fact4: {A} -> ({BM} & ¬{GG}) fact5: ({EQ} & ¬{ER}) fact6: {B} -> {A} fact7: ¬{F} -> ({D} & {E}) fact8: {C} -> {B} ; $hypothesis$ = ({AA} & ¬{AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ç¡ããšããããšãèµ·ãã | {A} | fact1: ãŽããŽã¡ãLv.55äºä»¶ãçºçãã fact2: 確èªãæããšããããšãèµ·ãã fact3: èãèŸããšããããšã¯èµ·ããªããªãå ãæ··ããããšãèµ·ãããããã«ç¡ããšããããšãèµ·ãã | fact1: {CR} fact2: {BH} fact3: ¬{B} -> ({ER} & {A}) | [] | [] | å ãæ··ããããšãçãã | {ER} | [] | 6 | 1 | 1 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãŽããŽã¡ãLv.55äºä»¶ãçºçãã fact2: 確èªãæããšããããšãèµ·ãã fact3: èãèŸããšããããšã¯èµ·ããªããªãå ãæ··ããããšãèµ·ãããããã«ç¡ããšããããšãèµ·ãã ; $hypothesis$ = ç¡ããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {CR} fact2: {BH} fact3: ¬{B} -> ({ER} & {A}) ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ã·ãã·ãLv.70äºä»¶ãèµ·ãããªãããããã¯æ°æ¥ãããããšããããšã¯çºçãããã©ã¡ããã§ãã | (¬{AA} v {AB}) | fact1: å®çŸãæããšããããšã¯çããªããšããããšã¯ãŽã«ããŽã¡ãLv.93äºä»¶ã黿¢ãã fact2: ãããããŸã¡ããŸã®Lv.4äºä»¶ãèµ·ããªããããã«ã¿ãã¿ã®Lv.83äºä»¶ã¯çºçããªãããšããããšã¯ééãã§ãããªããœããœãLv.83äºä»¶ãèµ·ãã fact3: ä»®ã«ããã«ããã«ãLv.31äºä»¶ããã³äžãæããšããããšã©ã¡ãããèµ·ããããšããããšã¯æãç«ããªããšããã°äžãæããšããããšã¯èµ·ããªã fact4: æãããæããšããããšã¯èµ·ãããªã fact5: ããããããã®Lv.40äºä»¶ãçãããšããã°ãæåããšããããšãçããã倩䜿ããããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã fact6: ãããããããLv.69äºä»¶... | fact1: ¬{H} -> ¬{G} fact2: ¬(¬{C} & ¬{B}) -> {A} fact3: ¬({N} & {L}) -> ¬{L} fact4: ¬{GC} fact5: {Q} -> ¬({O} & ¬{P}) fact6: ¬{M} -> ¬({N} & {L}) fact7: ¬{G} -> ({E} & ¬{F}) fact8: {A} -> (¬{AA} v {AB}) fact9: ¬({O} & ¬{P}) -> ¬{M} fact10: ¬{A} fact11: ¬{A} -> ¬(¬{AA} v {AB}) fact12: {D} -> ¬(¬{C} & ¬{B}) fact13: ¬{A} ... | [
"fact11 & fact10 -> hypothesis;"
] | [
"fact11 & fact10 -> hypothesis;"
] | ã·ãã·ãLv.70äºä»¶ãèµ·ãããªãããããã¯æ°æ¥ãããããšããããšã¯çºçãããã©ã¡ããã§ãã | (¬{AA} v {AB}) | [] | 17 | 1 | 1 | 1 | 1 | 14 | 0 | 14 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: å®çŸãæããšããããšã¯çããªããšããããšã¯ãŽã«ããŽã¡ãLv.93äºä»¶ã黿¢ãã fact2: ãããããŸã¡ããŸã®Lv.4äºä»¶ãèµ·ããªããããã«ã¿ãã¿ã®Lv.83äºä»¶ã¯çºçããªãããšããããšã¯ééãã§ãããªããœããœãLv.83äºä»¶ãèµ·ãã fact3: ä»®ã«ããã«ããã«ãLv.31äºä»¶ããã³äžãæããšããããšã©ã¡ãããèµ·ããããšããããšã¯æãç«ããªããšããã°äžãæããšããããšã¯èµ·ããªã fact4: æãããæããšããããšã¯èµ·ãããªã fact5: ããããããã®Lv.40äºä»¶ãçãããšããã°ãæåããšããããšãçããã倩䜿ããããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã fact6: ãããã... | fact11 & fact10 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{H} -> ¬{G} fact2: ¬(¬{C} & ¬{B}) -> {A} fact3: ¬({N} & {L}) -> ¬{L} fact4: ¬{GC} fact5: {Q} -> ¬({O} & ¬{P}) fact6: ¬{M} -> ¬({N} & {L}) fact7: ¬{G} -> ({E} & ¬{F}) fact8: {A} -> (¬{AA} v {AB}) fact9: ¬({O} & ¬{P}) -> ¬{M} fact10: ¬{A} fact11: ¬{A} -> ¬(¬{AA} v {AB}) fact12: {D} -> ¬(¬{C} & ¬{B}) fac... | fact11 & fact10 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ãªLv.48ã¯äžžããªã | ¬{A}{a} | fact1: ãã®ã·ãã·ãªLv.48ã¯ããè¥ã fact2: ãã®ã·ãã·ãLv.57ã¯äžžã fact3: ãããã®ã·ãã·ãªLv.48ãå¹ããªããªãã°ãã®ã·ãã·ãªLv.48ã¯åœ¢æãæããšããããšã¯ãªãããŸãã¯ããã¯æ©ãé£ããã©ã¡ããã fact4: ä»®ã«ããšããã¢ã³ã¹ã¿ãŒã¯äœçœ®ä»ããããã©æããªãããšããããšã¯èª€ãã§ãããšãããšçãé£ã fact5: ãã®ã·ãã·ãªLv.48ã¯äžžã fact6: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åœ¢æãæããªãããããçŸã
ããããšããããšã¯èª€ã£ãŠãããšãããšäžžããªã fact7: 圢æãæããªãããããã¯æ©ãé£ãã¢ã³ã¹ã¿ãŒã¯åœ¢æãæããšããããšã¯ãªã fact8: äœããã®ã¢ã³ã¹ã¿ãŒãçãé£ããªãæ©ãé£ããª... | fact1: {IL}{a} fact2: {A}{as} fact3: ¬{D}{a} -> (¬{C}{a} v {E}{a}) fact4: (x): ¬({I}x & ¬{H}x) -> {G}x fact5: {A}{a} fact6: (x): ¬(¬{C}x & {B}x) -> ¬{A}x fact7: (x): (¬{C}x v {E}x) -> ¬{C}x fact8: (x): {G}x -> (¬{E}x v {F}x) fact9: {EH}{a} fact10: {DF}{a} fact11: {EI}{a} fact12: ¬{C}{a} -> ({A}{du} & {B}{du}) fact13: {... | [
"fact5 -> hypothesis;"
] | [
"fact5 -> hypothesis;"
] | ãã®ã·ãã·ãªLv.48ã¯äžžããªã | ¬{A}{a} | [
"fact23 -> int1: ããã®ã·ãã·ãªLv.48ã¯åœ¢æãæããªããããã¯çŸã
ããããšããããšã¯ééã£ãŠãããšããã°ãã®ã·ãã·ãªLv.48ã¯äžžããªã; fact20 -> int2: ããä»®ã«ããã®ã·ãã·ãªLv.48ã¯å¹ãããšããããšã¯æ¬åœã§ãããšããã°ããã®ã·ãã·ãªLv.48ã¯åœ¢æãæããªããçŸã
ããããšããããšã¯æãç«ããªã; fact24 -> int3: ããããã®ã·ã«ã
ã·ãLv.67ãçãé£ããšãããããã¯æ©ãé£ããšããããšã¯ãªãããããã¯æããããŸãã¯äž¡æ¹ã ; fact21 -> int4: ä»®ã«ããã®ã·ã«ã
ã·ãLv.67ã¯äœçœ®ä»ããããããã¯æããªãããšããããšã¯ééã£ãŠããã°ããã¯çãé£ã;"
] | 7 | 1 | 1 | 0 | 0 | 17 | 0 | 17 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ãã·ãªLv.48ã¯ããè¥ã fact2: ãã®ã·ãã·ãLv.57ã¯äžžã fact3: ãããã®ã·ãã·ãªLv.48ãå¹ããªããªãã°ãã®ã·ãã·ãªLv.48ã¯åœ¢æãæããšããããšã¯ãªãããŸãã¯ããã¯æ©ãé£ããã©ã¡ããã fact4: ä»®ã«ããšããã¢ã³ã¹ã¿ãŒã¯äœçœ®ä»ããããã©æããªãããšããããšã¯èª€ãã§ãããšãããšçãé£ã fact5: ãã®ã·ãã·ãªLv.48ã¯äžžã fact6: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åœ¢æãæããªãããããçŸã
ããããšããããšã¯èª€ã£ãŠãããšãããšäžžããªã fact7: 圢æãæããªãããããã¯æ©ãé£ãã¢ã³ã¹ã¿ãŒã¯åœ¢æãæããšããããšã¯ãªã fact8: äœããã®ã¢ã³ã¹ã¿ãŒãç... | fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {IL}{a} fact2: {A}{as} fact3: ¬{D}{a} -> (¬{C}{a} v {E}{a}) fact4: (x): ¬({I}x & ¬{H}x) -> {G}x fact5: {A}{a} fact6: (x): ¬(¬{C}x & {B}x) -> ¬{A}x fact7: (x): (¬{C}x v {E}x) -> ¬{C}x fact8: (x): {G}x -> (¬{E}x v {F}x) fact9: {EH}{a} fact10: {DF}{a} fact11: {EI}{a} fact12: ¬{C}{a} -> ({A}{du} & {B}{du})... | fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãããã®Lv.44äºä»¶ãèµ·ãã | {B} | fact1: ããä»®ã«ããžã¿ã«åããããšãèµ·ããªããªãã°æ¶åãæããšããããšã¯çºçããããã®äžãœã«ã
ãœã«ãLv.37äºä»¶ãèµ·ãã fact2: åŸããé£ããšããããšãçãã fact3: ãŸããŸãLv.65äºä»¶ãèµ·ãã fact4: ãæ¶åãæããšããããšã¯èµ·ãããªãããšããããšã¯ãããã®Lv.44äºä»¶ã¯çããªããšããããšã黿¢ãã fact5: ãããæ¶åãæããšããããšãèµ·ããããŸãã¯ãããã®Lv.44äºä»¶ã¯èµ·ãããªãããããã¯äž¡æ¹ã ãšãããããããã®Lv.44äºä»¶ã¯çºçããªãããšããããšã¯äºå®ã§ãã fact6: åç¡ããšããããšãèµ·ãã fact7: ãŽããŽã¡ãLv.68äºä»¶ã¯çããªã fact8: ãæ¶åãæããšããããšã¯... | fact1: ¬{D} -> ({A} & {C}) fact2: {GE} fact3: {BN} fact4: ¬{A} -> {B} fact5: ({A} v ¬{B}) -> ¬{B} fact6: {FJ} fact7: ¬{H} fact8: ¬{A} | [
"fact4 & fact8 -> hypothesis;"
] | [
"fact4 & fact8 -> hypothesis;"
] | ãããã®Lv.44äºä»¶ã¯çããªã | ¬{B} | [] | 7 | 1 | 1 | 1 | 1 | 6 | 0 | 6 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ããžã¿ã«åããããšãèµ·ããªããªãã°æ¶åãæããšããããšã¯çºçããããã®äžãœã«ã
ãœã«ãLv.37äºä»¶ãèµ·ãã fact2: åŸããé£ããšããããšãçãã fact3: ãŸããŸãLv.65äºä»¶ãèµ·ãã fact4: ãæ¶åãæããšããããšã¯èµ·ãããªãããšããããšã¯ãããã®Lv.44äºä»¶ã¯çããªããšããããšã黿¢ãã fact5: ãããæ¶åãæããšããããšãèµ·ããããŸãã¯ãããã®Lv.44äºä»¶ã¯èµ·ãããªãããããã¯äž¡æ¹ã ãšãããããããã®Lv.44äºä»¶ã¯çºçããªãããšããããšã¯äºå®ã§ãã fact6: åç¡ããšããããšãèµ·ãã fact7: ãŽããŽã¡ãLv.68äºä»¶ã¯çããªã fact8: ãæ¶... | fact4 & fact8 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{D} -> ({A} & {C}) fact2: {GE} fact3: {BN} fact4: ¬{A} -> {B} fact5: ({A} v ¬{B}) -> ¬{B} fact6: {FJ} fact7: ¬{H} fact8: ¬{A} ; $hypothesis$ = {B} ; $proof$ = | fact4 & fact8 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸããŸã«ãLv.17ã¯é·æã¡ããªãããããã¯ç޳士ããããªã | (¬{AA}{a} v ¬{AB}{a}) | fact1: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãåŒãæããšããã°ããã¯æããã fact2: ããããªãããã®ã¢ã³ã¹ã¿ãŒãé¢çœãããããªããªã察å¿ãæããªã fact3: ããä»®ã«ãã®ãŸããŸã«ãLv.17ãé·æã¡ãããåŒãæããªãããŸãã¯äž¡æ¹ãšãã§ãããªãã°ãã®ã¿ãã¿ãLv.94ã¯é·æã¡ããªã fact4: ããããã®ãŽããŽãªLv.43ãç·©ããªããã®ãŸããŸã¡ã
Lv.21ã¯ç·©ããªã fact5: ä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯éžæããæããªããŠãããããã¯æããããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšããã¯é·æã¡ãã fact6: ä»®ã«ãã®ãŽã®ãŽã«ã
Lv.44ãè¯ã
ããããã©ããã¡ãªããªããªããã®ãŽããŽãªLv.43ã¯ç·©ã fact7... | fact1: (x): {B}x -> {A}x fact2: (x): ¬{M}x -> ¬{L}x fact3: ({AA}{a} v ¬{B}{a}) -> ¬{AA}{bq} fact4: {I}{e} -> ¬{I}{d} fact5: (x): ¬(¬{C}x & ¬{A}x) -> {AA}x fact6: ({J}{f} & ¬{K}{f}) -> {I}{e} fact7: ¬{A}{a} -> {AA}{a} fact8: ¬{A}{a} -> ¬(¬{AA}{a} v ¬{AB}{a}) fact9: {D}{b} -> ¬(¬{C}{a} & ¬{A}{a}) fact10: ¬{L}{g} -> ({J}{... | [
"fact8 & fact15 -> hypothesis;"
] | [
"fact8 & fact15 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.94ã¯é·æã¡ããªã | ¬{AA}{bq} | [
"fact33 -> int1: ããã®ãŸããŸã«ãLv.17ã¯éžæããæããªãããã€æããããªãããšããããšã¯åœã ãšãããé·æã¡ãã; fact25 -> int2: ãããã®ãã¡ããã®Lv.4ãå¹
åºããªããªãããã¯æãé£ãããŸãããã¯åºããªã; fact27 -> int3: ããä»®ã«ãã®ãŸããŸã¡ã
Lv.21ãç·©ããªããšããã°ãã®ãŸããŸã¡ã
Lv.21ã¯äŸµå
¥ãæãããã©ããã¯å¹
åºããªã; fact31 -> int4: ãã®ãŽããŽã«ãLv.53ãé¢çœãããããšããããšã¯ãªããªãã°ãã®ãŽããŽã«ãLv.53ã¯å¯Ÿå¿ãæããªã; fact35 -> int5: ããä»®ã«ããã®ãŽããŽã«ãLv.53ã¯ç·šå¶ããªãããããé¢çœããããããšã... | 14 | 1 | 1 | 1 | 1 | 20 | 0 | 20 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãåŒãæããšããã°ããã¯æããã fact2: ããããªãããã®ã¢ã³ã¹ã¿ãŒãé¢çœãããããªããªã察å¿ãæããªã fact3: ããä»®ã«ãã®ãŸããŸã«ãLv.17ãé·æã¡ãããåŒãæããªãããŸãã¯äž¡æ¹ãšãã§ãããªãã°ãã®ã¿ãã¿ãLv.94ã¯é·æã¡ããªã fact4: ããããã®ãŽããŽãªLv.43ãç·©ããªããã®ãŸããŸã¡ã
Lv.21ã¯ç·©ããªã fact5: ä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯éžæããæããªããŠãããããã¯æããããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšããã¯é·æã¡ãã fact6: ä»®ã«ãã®ãŽã®ãŽã«ã
Lv.44ãè¯ã
ããããã©ããã¡ãªããªããªããã®ãŽããŽãªLv.4... | fact8 & fact15 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {B}x -> {A}x fact2: (x): ¬{M}x -> ¬{L}x fact3: ({AA}{a} v ¬{B}{a}) -> ¬{AA}{bq} fact4: {I}{e} -> ¬{I}{d} fact5: (x): ¬(¬{C}x & ¬{A}x) -> {AA}x fact6: ({J}{f} & ¬{K}{f}) -> {I}{e} fact7: ¬{A}{a} -> {AA}{a} fact8: ¬{A}{a} -> ¬(¬{AA}{a} v ¬{AB}{a}) fact9: {D}{b} -> ¬(¬{C}{a} & ¬{A}{a}) fact10: ¬{L}{g... | fact8 & fact15 -> hypothesis; __DISPROVED__ |
0.3 | ãã¿ã¡ãã¿ã«ã
Lv.2äºä»¶ã¯çºçããªããŠãŸãå¿èŠãããšããããšã¯çºçããªãããšããããšã¯ç¢ºãã ãšããããšã¯ãªã | ¬(¬{AA} & ¬{AB}) | fact1: èšæ£ããããšãèµ·ãã fact2: ãããèšæ£ããããšãçãããªãã¿ã¡ãã¿ã«ã
Lv.2äºä»¶ã¯çããªããŠãããå¿èŠãããšããããšã¯èµ·ãããªã | fact1: {A} fact2: {A} -> (¬{AA} & ¬{AB}) | [
"fact2 & fact1 -> hypothesis;"
] | [
"fact2 & fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: èšæ£ããããšãèµ·ãã fact2: ãããèšæ£ããããšãçãããªãã¿ã¡ãã¿ã«ã
Lv.2äºä»¶ã¯çããªããŠãããå¿èŠãããšããããšã¯èµ·ãããªã ; $hypothesis$ = ãã¿ã¡ãã¿ã«ã
Lv.2äºä»¶ã¯çºçããªããŠãŸãå¿èŠãããšããããšã¯çºçããªãããšããããšã¯ç¢ºãã ãšããããšã¯ãªã ; $proof$ = | fact2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: {A} -> (¬{AA} & ¬{AB}) ; $hypothesis$ = ¬(¬{AA} & ¬{AB}) ; $proof$ = | fact2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã«ããœãLv.62ã¯åãé£ããªã | ¬{A}{a} | fact1: ãã®ãœã«ããœãLv.62ã¯åãé£ã fact2: ãã®ã·ã¡ãã·ã¡ãLv.77ã¯åãé£ã | fact1: {A}{a} fact2: {A}{el} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãœã«ããœãLv.62ã¯åãé£ã fact2: ãã®ã·ã¡ãã·ã¡ãLv.77ã¯åãé£ã ; $hypothesis$ = ãã®ãœã«ããœãLv.62ã¯åãé£ããªã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{el} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã·ã¡ãã·ãLv.42ã¯åŒã£åŒµãåããªããã©å³ããæ·±ãããšããããšã¯åœã§ãã | ¬(¬{AA}{b} & {AB}{b}) | fact1: ãã®ã·ãã·ã«ã
Lv.4ã¯ããã©èããšããããšã¯ãªã fact2: ãããã®ã·ãã·ã«ã
Lv.4ãããã©èããªããªããã®ã·ã¡ãã·ãLv.42ã¯åŒã£åŒµãåããªã fact3: ãããã®ã·ãã·ã«ã
Lv.4ãããã©èããªããšãããšãã®ã·ã¡ãã·ãLv.42ã¯åŒã£åŒµãåããªããã©ããã¯å³ããæ·±ã fact4: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ããã©èããšãããšãåŒã£åŒµãåããªãäžæ¹ã§å³ããæ·±ãããšããããšã¯åã§ãã fact5: ãããããã®ã·ãã·ã«ã
Lv.4ã¯æçããšããããšã¯ãªãäžæ¹ã§ããã©èãããšããããšã¯ééã£ãŠãããšããããã®ã·ã¡ãã·ãLv.42ã¯ããã©èããªã | fact1: ¬{A}{a} fact2: ¬{A}{a} -> ¬{AA}{b} fact3: ¬{A}{a} -> (¬{AA}{b} & {AB}{b}) fact4: (x): {A}x -> ¬(¬{AA}x & {AB}x) fact5: ¬(¬{B}{a} & {A}{a}) -> ¬{A}{b} | [
"fact3 & fact1 -> hypothesis;"
] | [
"fact3 & fact1 -> hypothesis;"
] | ããã®ã·ã¡ãã·ãLv.42ã¯ããã©èããªãããšããããšã¯æ¬åœã§ãã | ¬{A}{b} | [] | 5 | 1 | 1 | 1 | 1 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ãã·ã«ã
Lv.4ã¯ããã©èããšããããšã¯ãªã fact2: ãããã®ã·ãã·ã«ã
Lv.4ãããã©èããªããªããã®ã·ã¡ãã·ãLv.42ã¯åŒã£åŒµãåããªã fact3: ãããã®ã·ãã·ã«ã
Lv.4ãããã©èããªããšãããšãã®ã·ã¡ãã·ãLv.42ã¯åŒã£åŒµãåããªããã©ããã¯å³ããæ·±ã fact4: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ããã©èããšãããšãåŒã£åŒµãåããªãäžæ¹ã§å³ããæ·±ãããšããããšã¯åã§ãã fact5: ãããããã®ã·ãã·ã«ã
Lv.4ã¯æçããšããããšã¯ãªãäžæ¹ã§ããã©èãããšããããšã¯ééã£ãŠãããšããããã®ã·ã¡ãã·ãLv.42ã¯ããã©èããªã ; $hypothesis$ = ããã®ã·... | fact3 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{a} fact2: ¬{A}{a} -> ¬{AA}{b} fact3: ¬{A}{a} -> (¬{AA}{b} & {AB}{b}) fact4: (x): {A}x -> ¬(¬{AA}x & {AB}x) fact5: ¬(¬{B}{a} & {A}{a}) -> ¬{A}{b} ; $hypothesis$ = ¬(¬{AA}{b} & {AB}{b}) ; $proof$ = | fact3 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãçããããšãçããªããããŸãã«ãŽããŽã¡ã
Lv.2äºä»¶ã¯çããªãããšããããšã¯æãç«ããªã | ¬(¬{AA} & ¬{AB}) | fact1: ãæ§åããããšããããšãçºçãããæ¿ãããšããããšã¯çããªãããšããããšã¯æ¬åœã§ãªã fact2: ãçããããšãçããªããããŸãã«ãŽããŽã¡ã
Lv.2äºä»¶ã¯çããªãããšããããšã¯æãç«ããªã fact3: ãéããæããšããããšãèµ·ãããæèããšããããšã¯èµ·ãããªãããšããããšã¯ééã£ãŠãã | fact1: ¬({CI} & ¬{EJ}) fact2: ¬(¬{AA} & ¬{AB}) fact3: ¬({GI} & ¬{IQ}) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ãæ§åããããšããããšãçºçãããæ¿ãããšããããšã¯çããªãããšããããšã¯æ¬åœã§ãªã fact2: ãçããããšãçããªããããŸãã«ãŽããŽã¡ã
Lv.2äºä»¶ã¯çããªãããšããããšã¯æãç«ããªã fact3: ãéããæããšããããšãèµ·ãããæèããšããããšã¯èµ·ãããªãããšããããšã¯ééã£ãŠãã ; $hypothesis$ = ãçããããšãçããªããããŸãã«ãŽããŽã¡ã
Lv.2äºä»¶ã¯çããªãããšããããšã¯æãç«ããªã ; $proof$ = | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({CI} & ¬{EJ}) fact2: ¬(¬{AA} & ¬{AB}) fact3: ¬({GI} & ¬{IQ}) ; $hypothesis$ = ¬(¬{AA} & ¬{AB}) ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | ããããåºããé£ããªããåã
ãããšããããšã¯ãªããŠæŽã«èŠåºã ãé£ããªãããšããããšã¯åœã§ãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã | ¬((Ex): {A}x -> ¬(¬{AA}x & ¬{AB}x)) | fact1: ä»®ã«ãã®ã·ã«ãã·ãªLv.79ã¯ä¿ã¡æããªãããã®ã·ã«ãã·ãªLv.79ã¯æãããšããããšã¯ãªããåºããé£ãããšããããšã¯æ£ãããªã fact2: ããããã®ãŸããŸãLv.51ã¯èŠåºã ãé£ããªããããã¯éãŸãæããªããŠããŸãã«ããã¯ãã¬ãŒãã³ã°ããããšããããšã¯ééãã fact3: ãä»®ã«å¿ãããªãã°ãé²é€ããããã®äžå€ããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ãåºããé£ããªãã°ãåã
ãããããã«èŠåºã ãé£ããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact5: ãããã®ã·ãã·ãLv.1ã¯èŠåºã ãé£ããšãããšããã®ã·ãã·ãLv.1ã¯ãã£ã€ãããªããæŽã«ããã¯åã¡æããªãããšãã... | fact1: {DQ}{aa} -> ¬(¬{CU}{aa} & {A}{aa}) fact2: {AB}{hj} -> ¬(¬{CL}{hj} & {K}{hj}) fact3: (Ex): {HF}x -> ¬({FP}x & ¬{CR}x) fact4: (Ex): {A}x -> ¬({AA}x & ¬{AB}x) fact5: {AB}{gm} -> (¬{CI}{gm} & ¬{DT}{gm}) fact6: {GE}{gt} -> (¬{BM}{gt} & ¬{GI}{gt}) fact7: {A}{aa} -> (¬{AA}{aa} & ¬{AB}{aa}) fact8: (Ex): {DS}x -> ¬(¬{GH}... | [] | [] | ãããè²ãŠæããšããã°ãæ©ãèŸããªããŠããã«ä»æ¹ç¡ããªãããšããããšã¯äºå®ãšç°ãªããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): {BM}x -> ¬(¬{HG}x & ¬{JF}x) | [
"fact17 -> int1: ä»®ã«ãã®ãœããœã¡ãLv.81ã¯è²ãŠæããšãããšããã®ãœããœã¡ãLv.81ã¯æ©ãèŸããªããŠãã®äžä»æ¹ç¡ããšããããšã¯ãªãããšããããšã¯äºå®ã§ãªã; int1 -> hypothesis;"
] | 2 | 1 | 1 | null | null | 16 | 0 | 16 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ä»®ã«ãã®ã·ã«ãã·ãªLv.79ã¯ä¿ã¡æããªãããã®ã·ã«ãã·ãªLv.79ã¯æãããšããããšã¯ãªããåºããé£ãããšããããšã¯æ£ãããªã fact2: ããããã®ãŸããŸãLv.51ã¯èŠåºã ãé£ããªããããã¯éãŸãæããªããŠããŸãã«ããã¯ãã¬ãŒãã³ã°ããããšããããšã¯ééãã fact3: ãä»®ã«å¿ãããªãã°ãé²é€ããããã®äžå€ããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ãåºããé£ããªãã°ãåã
ãããããã«èŠåºã ãé£ããªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact5: ãããã®ã·ãã·ãLv.1ã¯èŠåºã ãé£ããšãããšããã®ã·ãã·ãLv.1ã¯ãã£ã€ãããªããæŽã«ããã¯... | __UNKNOWN__ | $facts$ = fact1: {DQ}{aa} -> ¬(¬{CU}{aa} & {A}{aa}) fact2: {AB}{hj} -> ¬(¬{CL}{hj} & {K}{hj}) fact3: (Ex): {HF}x -> ¬({FP}x & ¬{CR}x) fact4: (Ex): {A}x -> ¬({AA}x & ¬{AB}x) fact5: {AB}{gm} -> (¬{CI}{gm} & ¬{DT}{gm}) fact6: {GE}{gt} -> (¬{BM}{gt} & ¬{GI}{gt}) fact7: {A}{aa} -> (¬{AA}{aa} & ¬{AB}{aa}) fact8: (Ex): {DS}x ... | __UNKNOWN__ |
0.3 | å£ãæããšããããšã¯èµ·ãããªã | ¬{A} | fact1: å£ãæããšããããšãçºçãã | fact1: {A} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: å£ãæããšããããšãçºçãã ; $hypothesis$ = å£ãæããšããããšã¯èµ·ãããªã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} ; $hypothesis$ = ¬{A} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | åãæ»ãããšãèµ·ãã | {A} | fact1: ãåºããšããããšã¯èµ·ãããªãããšããããšã¯ãåãæ»ãããšãèµ·ããªãããããã¿ãã¿ã«ã
Lv.20äºä»¶ã¯èµ·ãããªãããšããããšãåŒãèµ·ãã fact2: ãåãåãããããšãçããããã©åºããšããããšã¯çããªãããšããããšã¯æ
ç¡ããšããããšã¯çããªããšããããšããã£ããã§ãã fact3: åãæ»ãããšãèµ·ãã | fact1: ¬{C} -> (¬{A} & ¬{B}) fact2: ¬{E} -> ({D} & ¬{C}) fact3: {A} | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | åãæ»ãããšã¯èµ·ããªã | ¬{A} | [] | 7 | 1 | 1 | 0 | 0 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãåºããšããããšã¯èµ·ãããªãããšããããšã¯ãåãæ»ãããšãèµ·ããªãããããã¿ãã¿ã«ã
Lv.20äºä»¶ã¯èµ·ãããªãããšããããšãåŒãèµ·ãã fact2: ãåãåãããããšãçããããã©åºããšããããšã¯çããªãããšããããšã¯æ
ç¡ããšããããšã¯çããªããšããããšããã£ããã§ãã fact3: åãæ»ãããšãèµ·ãã ; $hypothesis$ = åãæ»ãããšãèµ·ãã ; $proof$ = | fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{C} -> (¬{A} & ¬{B}) fact2: ¬{E} -> ({D} & ¬{C}) fact3: {A} ; $hypothesis$ = {A} ; $proof$ = | fact3 -> hypothesis; __PROVED__ |
0.3 | ãŸã®ãŸã«ã
Lv.49äºä»¶ãèµ·ãã | {B} | fact1: ä»®ã«ããŸã®ãŸã«ã
Lv.49äºä»¶ãçºçãããæããããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªããªãã°ä¹³èããšããããšãçãã fact2: æããããšããããšãçãã fact3: ä»®ã«å±ãé£ããšããããšã¯çããªããšããã°å¯æ±ºããããšãçããããã®äžãããã®Lv.86äºä»¶ãçãã fact4: ãŽããŽãLv.11äºä»¶ããã³é£ããããšäž¡æ¹ãçãã fact5: ããä»®ã«ãœããœã¡ãLv.6äºä»¶ã§ã¯ãªããŸããŸãLv.55äºä»¶ãçºçãããšããã°ãŸã«ãŸã«ã
Lv.28äºä»¶ã¯çºçããªã fact6: ãããæãæããšããããšããã³åããšããããšãèµ·ããããšããããšã¯æãç«ããªããšãããšåããšããããšã¯çºçããªã fact7: ä»®... | fact1: ¬({B} & ¬{A}) -> {CR} fact2: {A} fact3: ¬{Q} -> ({M} & {P}) fact4: ({FF} & {JI}) fact5: (¬{I} & {J}) -> ¬{G} fact6: ¬({H} & {F}) -> ¬{F} fact7: ¬(¬{D} & {E}) -> ¬{C} fact8: (¬{R} & ¬{S}) fact9: ¬{C} -> ¬(¬{A} & {B}) fact10: {G} fact11: ¬{G} -> ¬({H} & {F}) fact12: ¬{F} -> ¬(¬{D} & {E}) fact13: ¬{C} -> ¬({B} & ¬{... | [] | [] | ãŸã®ãŸã«ã
Lv.49äºä»¶ã¯çããªã | ¬{B} | [] | 6 | 1 | 1 | null | null | 16 | 0 | 16 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ããŸã®ãŸã«ã
Lv.49äºä»¶ãçºçãããæããããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªããªãã°ä¹³èããšããããšãçãã fact2: æããããšããããšãçãã fact3: ä»®ã«å±ãé£ããšããããšã¯çããªããšããã°å¯æ±ºããããšãçããããã®äžãããã®Lv.86äºä»¶ãçãã fact4: ãŽããŽãLv.11äºä»¶ããã³é£ããããšäž¡æ¹ãçãã fact5: ããä»®ã«ãœããœã¡ãLv.6äºä»¶ã§ã¯ãªããŸããŸãLv.55äºä»¶ãçºçãããšããã°ãŸã«ãŸã«ã
Lv.28äºä»¶ã¯çºçããªã fact6: ãããæãæããšããããšããã³åããšããããšãèµ·ããããšããããšã¯æãç«ããªããšãããšåããšããããšã¯çºçããª... | __UNKNOWN__ | $facts$ = fact1: ¬({B} & ¬{A}) -> {CR} fact2: {A} fact3: ¬{Q} -> ({M} & {P}) fact4: ({FF} & {JI}) fact5: (¬{I} & {J}) -> ¬{G} fact6: ¬({H} & {F}) -> ¬{F} fact7: ¬(¬{D} & {E}) -> ¬{C} fact8: (¬{R} & ¬{S}) fact9: ¬{C} -> ¬(¬{A} & {B}) fact10: {G} fact11: ¬{G} -> ¬({H} & {F}) fact12: ¬{F} -> ¬(¬{D} & {E}) fact13: ¬{C} -> ... | __UNKNOWN__ |
0.3 | ãããä»®ã«ãã®ã·ãã·ã¡ãLv.58ãåºããé£ããšããããšã¯ãªããšãããšãã®ã·ãã·ã¡ãLv.58ã¯æãããã©å
Œåããªãããšããããšã¯ééã£ãŠãã | ¬(¬{A}{aa} -> ({AA}{aa} & ¬{AB}{aa})) | fact1: ããä»®ã«ããã®ã·ãã·ã¡ãLv.58ã¯åºããé£ããªãããšããããšã¯æ¬åœã ãšããã°ãã®ã·ãã·ã¡ãLv.58ã¯æããããããããã¯å
Œåãã fact2: ããä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯è¹Žãããšããããšã¯çå®ãªãã°ããã¯è¿å¯ãé£ãäžæ¹ã§æ¥œãããšããããšã¯ãªã fact3: ããããã®ã·ãã·ã¡ãLv.58ãåºããé£ããªããªããã®ã·ãã·ã¡ãLv.58ã¯æãã fact4: ãããããšããã¢ã³ã¹ã¿ãŒãçºæãããšãããããã¯æ¬²æ·±ããããã¯äŸããªãããšããããšã¯æãç«ã€ fact5: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯åºããé£ããªããšããããæãããŠãŸãå
Œåããããšããããšã¯æ¬åœã fact6: äœããã®ã¢ã³ã¹ã¿ãŒãåºããé£ããªããªãæãã f... | fact1: ¬{A}{aa} -> ({AA}{aa} & {AB}{aa}) fact2: (x): {GQ}x -> ({CG}x & ¬{O}x) fact3: ¬{A}{aa} -> {AA}{aa} fact4: (x): {CF}x -> ({ER}x & ¬{AO}x) fact5: (x): ¬{A}x -> ({AA}x & {AB}x) fact6: (x): ¬{A}x -> {AA}x fact7: {BM}{aa} -> ({AR}{aa} & ¬{IU}{aa}) fact8: {DF}{fk} -> ({A}{fk} & ¬{HO}{fk}) fact9: (x): {A}x -> ({AA}x & ... | [
"fact10 -> hypothesis;"
] | [
"fact10 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 14 | 0 | 14 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããä»®ã«ããã®ã·ãã·ã¡ãLv.58ã¯åºããé£ããªãããšããããšã¯æ¬åœã ãšããã°ãã®ã·ãã·ã¡ãLv.58ã¯æããããããããã¯å
Œåãã fact2: ããä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯è¹Žãããšããããšã¯çå®ãªãã°ããã¯è¿å¯ãé£ãäžæ¹ã§æ¥œãããšããããšã¯ãªã fact3: ããããã®ã·ãã·ã¡ãLv.58ãåºããé£ããªããªããã®ã·ãã·ã¡ãLv.58ã¯æãã fact4: ãããããšããã¢ã³ã¹ã¿ãŒãçºæãããšãããããã¯æ¬²æ·±ããããã¯äŸããªãããšããããšã¯æãç«ã€ fact5: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯åºããé£ããªããšããããæãããŠãŸãå
Œåããããšããããšã¯æ¬åœã fact6: äœããã®ã¢ã³ã¹ã¿ãŒãåºããé£... | fact10 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{aa} -> ({AA}{aa} & {AB}{aa}) fact2: (x): {GQ}x -> ({CG}x & ¬{O}x) fact3: ¬{A}{aa} -> {AA}{aa} fact4: (x): {CF}x -> ({ER}x & ¬{AO}x) fact5: (x): ¬{A}x -> ({AA}x & {AB}x) fact6: (x): ¬{A}x -> {AA}x fact7: {BM}{aa} -> ({AR}{aa} & ¬{IU}{aa}) fact8: {DF}{fk} -> ({A}{fk} & ¬{HO}{fk}) fact9: (x): {A}x ->... | fact10 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ãLv.60ã¯åŒãæã | {B}{a} | fact1: ãã®ã·ãã·ãLv.60ã¯éããŠæãåºã fact2: ãã®ã·ãã·ãLv.60ã¯éããŠãŸãåŒãæã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æŒãæããããã«éã fact4: ãã®ã·ãã·ãLv.60ã¯éã fact5: ãã®ãŸããŸãªLv.81ã¯åŒãæã fact6: ãã®ã·ãã·ãLv.60ã¯éã fact7: ãã®ãŸã¡ããŸãLv.41ã¯éã | fact1: ({A}{a} & {EP}{a}) fact2: ({A}{a} & {B}{a}) fact3: (x): ({F}x & {A}x) fact4: {IK}{a} fact5: {B}{cn} fact6: {A}{a} fact7: {A}{is} | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ãã®ãŽããŽãªLv.10ã¯æŒãæãããŸãåªãã | ({F}{cf} & {AC}{cf}) | [
"fact8 -> int1: ãã®ãŽããŽãªLv.10ã¯æŒãæããŠãã€éã; int1 -> int2: ãã®ãŽããŽãªLv.10ã¯æŒãæã;"
] | 4 | 1 | 1 | 1 | 1 | 6 | 0 | 6 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ãã·ãLv.60ã¯éããŠæãåºã fact2: ãã®ã·ãã·ãLv.60ã¯éããŠãŸãåŒãæã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æŒãæããããã«éã fact4: ãã®ã·ãã·ãLv.60ã¯éã fact5: ãã®ãŸããŸãªLv.81ã¯åŒãæã fact6: ãã®ã·ãã·ãLv.60ã¯éã fact7: ãã®ãŸã¡ããŸãLv.41ã¯éã ; $hypothesis$ = ãã®ã·ãã·ãLv.60ã¯åŒãæã ; $proof$ = | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {EP}{a}) fact2: ({A}{a} & {B}{a}) fact3: (x): ({F}x & {A}x) fact4: {IK}{a} fact5: {B}{cn} fact6: {A}{a} fact7: {A}{is} ; $hypothesis$ = {B}{a} ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãã¡ããã¡ã
Lv.74ã¯èç©ããæã | {A}{a} | fact1: ããããããªãã¢ã³ã¹ã¿ãŒã¯èç©ããæããšããããšã¯ãªããåãæããšããããšã¯ãªã fact2: ãã®ãã¡ããã¡ã
Lv.74ã¯èç©ããæã | fact1: (x): ¬{C}x -> (¬{A}x & ¬{B}x) fact2: {A}{a} | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ãã®ãã¡ããã¡ã
Lv.74ã¯èç©ããæããšããããšã¯ãªã | ¬{A}{a} | [
"fact3 -> int1: ä»®ã«ãã®ãã¡ããã¡ã
Lv.74ãããããããªããšããã°ãã®ãã¡ããã¡ã
Lv.74ã¯èç©ããæããªããŠãã€ããã¯åãæããªã;"
] | 4 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããããªãã¢ã³ã¹ã¿ãŒã¯èç©ããæããšããããšã¯ãªããåãæããšããããšã¯ãªã fact2: ãã®ãã¡ããã¡ã
Lv.74ã¯èç©ããæã ; $hypothesis$ = ãã®ãã¡ããã¡ã
Lv.74ã¯èç©ããæã ; $proof$ = | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{C}x -> (¬{A}x & ¬{B}x) fact2: {A}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | ã¿ãã¿ã«Lv.27äºä»¶ãèµ·ãã | {A} | fact1: ãæ°ä»ãæããšããããšãçºçããããšããããšã¯æ£ãã fact2: 济ããããšãçãã fact3: ãœããœãLv.61äºä»¶ãçºçãã fact4: ããæµŽããããšãèµ·ãããªãããããã¿ãã¿ã«Lv.27äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ã ããšããããšã¯ãæãŸãæããšããããšã¯èµ·ããªãããšããããšã奿©ã§ãã fact5: èå¥åºæ¥ãããšãèµ·ãã | fact1: {IL} fact2: {B} fact3: {BP} fact4: ¬{C} -> (¬{B} & ¬{A}) fact5: {AG} | [] | [] | ã¿ãã¿ã«Lv.27äºä»¶ã¯èµ·ãããªã | ¬{A} | [] | 6 | 1 | 1 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãæ°ä»ãæããšããããšãçºçããããšããããšã¯æ£ãã fact2: 济ããããšãçãã fact3: ãœããœãLv.61äºä»¶ãçºçãã fact4: ããæµŽããããšãèµ·ãããªãããããã¿ãã¿ã«Lv.27äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ã ããšããããšã¯ãæãŸãæããšããããšã¯èµ·ããªãããšããããšã奿©ã§ãã fact5: èå¥åºæ¥ãããšãèµ·ãã ; $hypothesis$ = ã¿ãã¿ã«Lv.27äºä»¶ãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {IL} fact2: {B} fact3: {BP} fact4: ¬{C} -> (¬{B} & ¬{A}) fact5: {AG} ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãã«ãããLv.12ã¯æã¡é£ãããšããããšã¯æãç«ã€ | {B}{a} | fact1: ããããã®ãã«ãããLv.12ã埡è¥ããªãããŸãã¯ãããã°ã売ãããããããã¯äž¡æ¹ã§ãããšããããã®ãã«ãããLv.12ã¯æã¡é£ããšããããšã¯ãªã fact2: ãã®ãã«ãããLv.12ã¯åŸ¡è¥ããªãããããã¯ããã¯ã°ã売ãããããããã¯äž¡æ¹ãšãã§ãã | fact1: (¬{AA}{a} v {AB}{a}) -> ¬{B}{a} fact2: (¬{AA}{a} v {AB}{a}) | [
"fact1 & fact2 -> hypothesis;"
] | [
"fact1 & fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ãã«ãããLv.12ã埡è¥ããªãããŸãã¯ãããã°ã売ãããããããã¯äž¡æ¹ã§ãããšããããã®ãã«ãããLv.12ã¯æã¡é£ããšããããšã¯ãªã fact2: ãã®ãã«ãããLv.12ã¯åŸ¡è¥ããªãããããã¯ããã¯ã°ã売ãããããããã¯äž¡æ¹ãšãã§ãã ; $hypothesis$ = ããã®ãã«ãããLv.12ã¯æã¡é£ãããšããããšã¯æãç«ã€ ; $proof$ = | fact1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{AA}{a} v {AB}{a}) -> ¬{B}{a} fact2: (¬{AA}{a} v {AB}{a}) ; $hypothesis$ = {B}{a} ; $proof$ = | fact1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã¡ããœã¡ã
Lv.17ã¯èªæŽ»ããªã | ¬{B}{a} | fact1: ãã®ãœã¡ããœã¡ã
Lv.17ã¯èªã¿é£ã fact2: ããä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯åœãŠä»ãããŸãããªãããããèªã¿é£ãããšããããšã¯åœã§ãããšãããšããã¯èªæŽ»ããªã fact3: ãã®ã¿ãã¿ã¡ãLv.57ã¯èªæŽ»ãã fact4: ãã®ãœã¡ããœã¡ã
Lv.17ã¯èªã¿é£ãããããããã | fact1: {A}{a} fact2: (x): ¬(¬{C}x & {A}x) -> ¬{B}x fact3: {B}{da} fact4: ({A}{a} & {AS}{a}) | [] | [] | ãã®ãœã¡ããœã¡ã
Lv.17ã¯èªæŽ»ããªã | ¬{B}{a} | [
"fact5 -> int1: ããä»®ã«ããã®ãœã¡ããœã¡ã
Lv.17ã¯åœãŠä»ãããŸãããªããèªã¿é£ãããšããããšã¯èª€ããªããã®ãœã¡ããœã¡ã
Lv.17ã¯èªæŽ»ããªã;"
] | 4 | 1 | 1 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãœã¡ããœã¡ã
Lv.17ã¯èªã¿é£ã fact2: ããä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯åœãŠä»ãããŸãããªãããããèªã¿é£ãããšããããšã¯åœã§ãããšãããšããã¯èªæŽ»ããªã fact3: ãã®ã¿ãã¿ã¡ãLv.57ã¯èªæŽ»ãã fact4: ãã®ãœã¡ããœã¡ã
Lv.17ã¯èªã¿é£ãããããããã ; $hypothesis$ = ãã®ãœã¡ããœã¡ã
Lv.17ã¯èªæŽ»ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} fact2: (x): ¬(¬{C}x & {A}x) -> ¬{B}x fact3: {B}{da} fact4: ({A}{a} & {AS}{a}) ; $hypothesis$ = ¬{B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã¡ããŽã¡ãLv.70ã¯å¥œãŸãã | {A}{a} | fact1: ããã®ãŽã¡ããŽã¡ãLv.70ã¯å¥œãŸãããŠããã«è·¡ä»ããããšããããšã¯æ¬åœã | fact1: ({A}{a} & {B}{a}) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããã®ãŽã¡ããŽã¡ãLv.70ã¯å¥œãŸãããŠããã«è·¡ä»ããããšããããšã¯æ¬åœã ; $hypothesis$ = ãã®ãŽã¡ããŽã¡ãLv.70ã¯å¥œãŸãã ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ããã®ãããã¡ã
Lv.40ã¯æ¶Œãããè¡ãç¶ãããšããããšã¯ãªãããšããããšã¯æãç«ããªã | ¬({AA}{a} & ¬{AB}{a}) | fact1: ãã®ãããã¡ã
Lv.40ã¯æ¶Œãã fact2: ä»®ã«ãã®ãœã®ãœã¡ã
Lv.53ãçµåãæããšããã°ãã®ãŽãªãŽãLv.54ã¯çµåãæã fact3: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒããã€ã£ãããšããããšã¯ãªããªãããã¯çµåãæãããããã¯æãé£ã fact4: äœããã®ã¢ã³ã¹ã¿ãŒã¯æããªããªãã°ããã®ãããã¡ã
Lv.40ã¯æ¯ãæããæãããšããããšã¯ééã£ãŠãã fact5: ãã®ãããã¡ã
Lv.40ã¯æ¶Œããäžæ¹ã§è¡ãç¶ããªã fact6: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ç§»åãæããšãããšããã€ã£ãããªããŠè¶è²ããªãããšããããšã¯æãç«ããªã fact7: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç§»åãæã fact8: ãã®ã¿ã«ãã¿ãLv.43ã¯... | fact1: {AA}{a} fact2: {BN}{b} -> {BN}{ff} fact3: (x): ¬{C}x -> ({BN}x v {D}x) fact4: (x): ¬{A}x -> ¬({B}{a} & {A}{a}) fact5: ({AA}{a} & ¬{AB}{a}) fact6: (x): {G}x -> ¬(¬{C}x & ¬{E}x) fact7: (x): {G}x fact8: ({AA}{bc} & ¬{CR}{bc}) fact9: ¬(¬{C}{d} & ¬{E}{d}) -> ¬{C}{b} fact10: {D}{b} -> {BN}{ff} | [
"fact5 -> hypothesis;"
] | [
"fact5 -> hypothesis;"
] | ãã®ãŽãªãŽãLv.54ã¯çµåãæãããã©ããã¯æ¶Œãããªã | ({BN}{ff} & ¬{AA}{ff}) | [
"fact13 -> int1: ä»®ã«ãã®ãœã®ãœã¡ã
Lv.53ã¯ãã€ã£ãããªããªãã°ããã¯çµåãæããæãé£ãããããã¯ã©ã¡ããã§ãã; fact17 -> int2: ãããã®ãŸããŸãLv.48ã¯ç§»åãæããšãããããã€ã£ãããªããããã«è¶è²ããªãããšããããšã¯æãç«ããªã; fact12 -> int3: ãã®ãŸããŸãLv.48ã¯ç§»åãæã; int2 & int3 -> int4: ããã®ãŸããŸãLv.48ã¯ãã€ã£ãããªããŠè¶è²ããªãããšããããšã¯åœã ; int4 -> int5: ãã€ã£ãããªããŠããŸãã«è¶è²ããªãã¢ã³ã¹ã¿ãŒã¯ãªã; int5 -> int6: ããã®ãŽããŽã¡ãLv.41ã¯ãã€ã£ãããªããŠè¶è²ããšãã... | 8 | 1 | 1 | 0 | 0 | 9 | 0 | 9 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãããã¡ã
Lv.40ã¯æ¶Œãã fact2: ä»®ã«ãã®ãœã®ãœã¡ã
Lv.53ãçµåãæããšããã°ãã®ãŽãªãŽãLv.54ã¯çµåãæã fact3: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒããã€ã£ãããšããããšã¯ãªããªãããã¯çµåãæãããããã¯æãé£ã fact4: äœããã®ã¢ã³ã¹ã¿ãŒã¯æããªããªãã°ããã®ãããã¡ã
Lv.40ã¯æ¯ãæããæãããšããããšã¯ééã£ãŠãã fact5: ãã®ãããã¡ã
Lv.40ã¯æ¶Œããäžæ¹ã§è¡ãç¶ããªã fact6: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ç§»åãæããšãããšããã€ã£ãããªããŠè¶è²ããªãããšããããšã¯æãç«ããªã fact7: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç§»åãæã fact8: ãã®ã¿... | fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {AA}{a} fact2: {BN}{b} -> {BN}{ff} fact3: (x): ¬{C}x -> ({BN}x v {D}x) fact4: (x): ¬{A}x -> ¬({B}{a} & {A}{a}) fact5: ({AA}{a} & ¬{AB}{a}) fact6: (x): {G}x -> ¬(¬{C}x & ¬{E}x) fact7: (x): {G}x fact8: ({AA}{bc} & ¬{CR}{bc}) fact9: ¬(¬{C}{d} & ¬{E}{d}) -> ¬{C}{b} fact10: {D}{b} -> {BN}{ff} ; $hypothesis$... | fact5 -> hypothesis; __DISPROVED__ |
0.3 | èã£ãããšããããšã¯èµ·ãããªã | ¬{B} | fact1: ãæã¡é£ããšããããšã§ã¯ãªãåæ®æãããšããããšãçºçããããšããããšã¯ãœã«ãœã«Lv.99äºä»¶ãçããªããšããããšã¯åå ã§ãã fact2: ã·ã®ã·ãLv.48äºä»¶ã¯çããªã fact3: å¿«ããšããããšãšãœããœãLv.75äºä»¶ãèµ·ãã fact4: ä¹ãå§ããããšãšå·ãé£ããšããããšã©ã¡ãããçºçãã fact5: ããããç
©ããããšããããšãé»è²ã£ãœããšããããšãèµ·ããããšããããšã¯èª€ããªãã°ããœã«ãœã«Lv.99äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ã fact6: æã¡é£ããšããããšã¯èµ·ãããªããšããããšã¯ãèã£ãããšããããšãçãããæŽã«ã·ã®ã·ãLv.62äºä»¶ãèµ·ããããšããããšãçãããã fact7: é·ããšãã... | fact1: ¬{E} -> (¬{C} & {D}) fact2: ¬{CM} fact3: ({AA} & {AB}) fact4: ({HK} & {Q}) fact5: ¬({G} v {F}) -> ¬{E} fact6: ¬{C} -> ({B} & {A}) fact7: ¬{FU} fact8: ¬{AI} fact9: {AA} fact10: ({DU} & {HT}) -> ¬{FL} fact11: ¬{H} -> ¬({G} v {F}) fact12: ({BP} & {DJ}) -> ¬{IG} fact13: ({BP} & {IS}) fact14: ({AA} & {AB}) -> ¬{B} | [
"fact14 & fact3 -> hypothesis;"
] | [
"fact14 & fact3 -> hypothesis;"
] | èã£ãããšããããšãèµ·ãã | {B} | [] | 9 | 1 | 1 | 1 | 1 | 12 | 0 | 12 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãæã¡é£ããšããããšã§ã¯ãªãåæ®æãããšããããšãçºçããããšããããšã¯ãœã«ãœã«Lv.99äºä»¶ãçããªããšããããšã¯åå ã§ãã fact2: ã·ã®ã·ãLv.48äºä»¶ã¯çããªã fact3: å¿«ããšããããšãšãœããœãLv.75äºä»¶ãèµ·ãã fact4: ä¹ãå§ããããšãšå·ãé£ããšããããšã©ã¡ãããçºçãã fact5: ããããç
©ããããšããããšãé»è²ã£ãœããšããããšãèµ·ããããšããããšã¯èª€ããªãã°ããœã«ãœã«Lv.99äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ã fact6: æã¡é£ããšããããšã¯èµ·ãããªããšããããšã¯ãèã£ãããšããããšãçãããæŽã«ã·ã®ã·ãLv.62äºä»¶ãèµ·ããããšããããšãçãããã fa... | fact14 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{E} -> (¬{C} & {D}) fact2: ¬{CM} fact3: ({AA} & {AB}) fact4: ({HK} & {Q}) fact5: ¬({G} v {F}) -> ¬{E} fact6: ¬{C} -> ({B} & {A}) fact7: ¬{FU} fact8: ¬{AI} fact9: {AA} fact10: ({DU} & {HT}) -> ¬{FL} fact11: ¬{H} -> ¬({G} v {F}) fact12: ({BP} & {DJ}) -> ¬{IG} fact13: ({BP} & {IS}) fact14: ({AA} & {AB}) ... | fact14 & fact3 -> hypothesis; __PROVED__ |
0.3 | ããã®ã¿ãªã¿ã«ãLv.11ã¯æã¿èŸŒã¿æããªãããããã¯èŠåºã ãé£ããªãããšããããšã¯äºå®ã | (¬{AA}{a} v ¬{AB}{a}) | fact1: ãããã®ã¿ãªã¿ã«ãLv.11ãéé»ããªããšããã°æã¿èŸŒã¿æããªãããŸãã¯èŠåºã ãé£ããªããäž¡æ¹ã§ãã fact2: ãã®ã¿ãªã¿ã«ãLv.11ã¯éé»ããªã | fact1: ¬{A}{a} -> (¬{AA}{a} v ¬{AB}{a}) fact2: ¬{A}{a} | [
"fact1 & fact2 -> hypothesis;"
] | [
"fact1 & fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãããã®ã¿ãªã¿ã«ãLv.11ãéé»ããªããšããã°æã¿èŸŒã¿æããªãããŸãã¯èŠåºã ãé£ããªããäž¡æ¹ã§ãã fact2: ãã®ã¿ãªã¿ã«ãLv.11ã¯éé»ããªã ; $hypothesis$ = ããã®ã¿ãªã¿ã«ãLv.11ã¯æã¿èŸŒã¿æããªãããããã¯èŠåºã ãé£ããªãããšããããšã¯äºå®ã ; $proof$ = | fact1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} -> (¬{AA}{a} v ¬{AB}{a}) fact2: ¬{A}{a} ; $hypothesis$ = (¬{AA}{a} v ¬{AB}{a}) ; $proof$ = | fact1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ããããããšããããšãèµ·ãã | {B} | fact1: ããä»®ã«æãé£ããšããããšãçããã°ãŽãªãŽãLv.62äºä»¶ã¯èµ·ãããªãããœããœãLv.65äºä»¶ãçãã fact2: ä»®ã«ç·ã®åããããšããããšã¯çºçããªããšããããçŒãé£ããšããããšããŸãã¯ãŽããŽãLv.38äºä»¶ãã©ã¡ãããçããããšããããšã¯åã§ãã fact3: æãé£ããšããããšãçºçãã fact4: ãããå¿äœç¡ããšããããšã¯çºçããªããªãããããããLv.78äºä»¶ã¯èµ·ããªããŠãã€è»¢ã³æããšããããšã¯èµ·ãããªãããšããããšã¯èª€ãã§ããããšããããšã¯çå®ã§ãã fact5: ãããããLv.78äºä»¶ã¯çºçããªããŠè»¢ã³æããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããã°ããããããšããããšã¯... | fact1: {S} -> (¬{K} v {M}) fact2: ¬{G} -> ¬({F} v {E}) fact3: {S} fact4: ¬{D} -> ¬(¬{C} & ¬{A}) fact5: ¬(¬{C} & ¬{A}) -> ¬{B} fact6: ¬({F} v {E}) -> ¬{D} fact7: (¬{K} v {M}) -> ¬{K} fact8: ¬(¬{FG} & {EP}) fact9: ¬(¬{JK} & {FS}) -> {FO} fact10: ¬{IN} -> {CO} fact11: ¬(¬{AA} & {AB}) -> {B} fact12: (¬{K} & {J}) -> ¬{I} fa... | [
"fact11 & fact15 -> hypothesis;"
] | [
"fact11 & fact15 -> hypothesis;"
] | ãããããããšããããšã¯çºçããªãããšããããšã¯äºå®ã§ãã | ¬{B} | [
"fact25 & fact27 -> int1: ãŽãªãŽãLv.62äºä»¶ã¯çããªãããããã¯ãœããœãLv.65äºä»¶ãèµ·ãã; fact17 & int1 -> int2: ãŽãªãŽãLv.62äºä»¶ã¯èµ·ãããªã;"
] | 14 | 1 | 1 | 1 | 1 | 14 | 0 | 14 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«æãé£ããšããããšãçããã°ãŽãªãŽãLv.62äºä»¶ã¯èµ·ãããªãããœããœãLv.65äºä»¶ãçãã fact2: ä»®ã«ç·ã®åããããšããããšã¯çºçããªããšããããçŒãé£ããšããããšããŸãã¯ãŽããŽãLv.38äºä»¶ãã©ã¡ãããçããããšããããšã¯åã§ãã fact3: æãé£ããšããããšãçºçãã fact4: ãããå¿äœç¡ããšããããšã¯çºçããªããªãããããããLv.78äºä»¶ã¯èµ·ããªããŠãã€è»¢ã³æããšããããšã¯èµ·ãããªãããšããããšã¯èª€ãã§ããããšããããšã¯çå®ã§ãã fact5: ãããããLv.78äºä»¶ã¯çºçããªããŠè»¢ã³æããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããã°ã... | fact11 & fact15 -> hypothesis; __PROVED__ | $facts$ = fact1: {S} -> (¬{K} v {M}) fact2: ¬{G} -> ¬({F} v {E}) fact3: {S} fact4: ¬{D} -> ¬(¬{C} & ¬{A}) fact5: ¬(¬{C} & ¬{A}) -> ¬{B} fact6: ¬({F} v {E}) -> ¬{D} fact7: (¬{K} v {M}) -> ¬{K} fact8: ¬(¬{FG} & {EP}) fact9: ¬(¬{JK} & {FS}) -> {FO} fact10: ¬{IN} -> {CO} fact11: ¬(¬{AA} & {AB}) -> {B} fact12: (¬{K} & {J}) ... | fact11 & fact15 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ã¡ã
ã¿ãLv.97ã¯åºå
ã | {A}{a} | fact1: èªãã£ãœããªãã¢ã³ã¹ã¿ãŒã¯ãã¶ãšãäžæ¹ã§åºå
ããªã fact2: ä»®ã«åããæãã¢ã³ã¹ã¿ãŒãè³éååããªããšãããšããã¯èªãã£ãœããªã fact3: ãã®ã¿ãªã¿ãLv.42ãæã¿é£ããããšããã°ãã®ãœããœãLv.56ã¯ããã fact4: ä»®ã«ãã®ã¿ãªã¿ãLv.42ãå
åæãããªããã®ã¿ãªã¿ãLv.42ã¯æã¿é£ããã fact5: ãã®ã·ã«ãã·ãªLv.5ã¯åºå
ã fact6: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒããã¶ãšããšããã°åºå
ã fact7: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯ããããšããããããã¯è³¢ããªãããã€ããšããããªãããšããããšã¯æãç«ããªã fact8: ããããã®ã¿ã¡ã
ã¿ãLv.97ã¯èªãã£ãœãããšããããšã¯æã... | fact1: (x): ¬{C}x -> ({B}x & ¬{A}x) fact2: (x): ({E}x & ¬{D}x) -> ¬{C}x fact3: {L}{e} -> {K}{d} fact4: {M}{e} -> {L}{e} fact5: {A}{br} fact6: (x): {B}x -> {A}x fact7: (x): {K}x -> ¬(¬{J}x & ¬{I}x) fact8: {C}{a} -> {B}{al} fact9: (¬{F}{b} & {G}{b}) -> ¬{F}{a} fact10: {AQ}{a} fact11: (¬{N}{e} v ¬{O}{e}) fact12: ¬{F}{c} -... | [] | [] | ãã®ã¿ã¡ã
ã¿ãLv.97ã¯åºå
ããªã | ¬{A}{a} | [
"fact22 -> int1: ããä»®ã«ãã®ã¿ã¡ã
ã¿ãLv.97ãèªãã£ãœããªããªãã°ãã¶ãšããåºå
ããªã; fact28 -> int2: ãããã®ã¿ã¡ã
ã¿ãLv.97ã¯åããæãããããè³éååããªããšããã°ããã¯èªãã£ãœããªã; fact25 -> int3: ããããã®ã¿ã¡ã
ã¿ãLv.97ãæãé£ããªããšãããããã¯åããæããå ããŠããã¯è³éååããªã; fact21 -> int4: ãã®ãœããœãLv.56ã¯ããããªãã°ããã®ãœããœãLv.56ãè³¢ããšããããšã¯ãªãããã®äžããšããããªãããšããããšã¯èª€ãã§ãã;"
] | 11 | 1 | 1 | null | null | 18 | 0 | 18 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: èªãã£ãœããªãã¢ã³ã¹ã¿ãŒã¯ãã¶ãšãäžæ¹ã§åºå
ããªã fact2: ä»®ã«åããæãã¢ã³ã¹ã¿ãŒãè³éååããªããšãããšããã¯èªãã£ãœããªã fact3: ãã®ã¿ãªã¿ãLv.42ãæã¿é£ããããšããã°ãã®ãœããœãLv.56ã¯ããã fact4: ä»®ã«ãã®ã¿ãªã¿ãLv.42ãå
åæãããªããã®ã¿ãªã¿ãLv.42ã¯æã¿é£ããã fact5: ãã®ã·ã«ãã·ãªLv.5ã¯åºå
ã fact6: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒããã¶ãšããšããã°åºå
ã fact7: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯ããããšããããããã¯è³¢ããªãããã€ããšããããªãããšããããšã¯æãç«ããªã fact8: ããããã®ã¿ã¡ã
ã¿ãLv.97ã¯èªãã£ãœ... | __UNKNOWN__ | $facts$ = fact1: (x): ¬{C}x -> ({B}x & ¬{A}x) fact2: (x): ({E}x & ¬{D}x) -> ¬{C}x fact3: {L}{e} -> {K}{d} fact4: {M}{e} -> {L}{e} fact5: {A}{br} fact6: (x): {B}x -> {A}x fact7: (x): {K}x -> ¬(¬{J}x & ¬{I}x) fact8: {C}{a} -> {B}{al} fact9: (¬{F}{b} & {G}{b}) -> ¬{F}{a} fact10: {AQ}{a} fact11: (¬{N}{e} v ¬{O}{e}) fact12:... | __UNKNOWN__ |
0.3 | ãœããœã¡ã
Lv.68äºä»¶ãçºçãã | {A} | fact1: ãœããœã¡ã
Lv.68äºä»¶ã¯çºçããªã fact2: ãœããœã¡ã
Lv.68äºä»¶ãäŒããæããšããããšã¯çºçãããšããããšãé²ã fact3: ãããä»®ã«ãçšé ããšããããšã¯çºçããªãããœããœã¡ã
Lv.68äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããã°ããœããœã¡ã
Lv.68äºä»¶ãçºçããããšããããšã¯æ£ããããšããããšã¯æãç«ã€ | fact1: ¬{A} fact2: {A} -> ¬{ES} fact3: ¬(¬{B} & ¬{A}) -> {A} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | äŒããæããšããããšã¯çºçããªã | ¬{ES} | [] | 6 | 1 | 1 | 0 | 0 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãœããœã¡ã
Lv.68äºä»¶ã¯çºçããªã fact2: ãœããœã¡ã
Lv.68äºä»¶ãäŒããæããšããããšã¯çºçãããšããããšãé²ã fact3: ãããä»®ã«ãçšé ããšããããšã¯çºçããªãããœããœã¡ã
Lv.68äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããã°ããœããœã¡ã
Lv.68äºä»¶ãçºçããããšããããšã¯æ£ããããšããããšã¯æãç«ã€ ; $hypothesis$ = ãœããœã¡ã
Lv.68äºä»¶ãçºçãã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A} fact2: {A} -> ¬{ES} fact3: ¬(¬{B} & ¬{A}) -> {A} ; $hypothesis$ = {A} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã¯åžåããæããéžæããæããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã | (x): ¬({AA}x & ¬{AB}x) | fact1: ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ãã°ãããšããããšã¯äºå®ã fact2: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯äž»å¬ãããšããããšã¯ãªããªããæã£ãããªããããŸãã«ããã¯ãã°ããªãããšããããšã¯æãç«ããªã fact3: ä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯æäœãæãããããäž»å¬ããããšããããšã¯åœã§ãããªãäž»å¬ããªã fact4: ããã¯åžåããæããéžæããæããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact5: æµ®ãæãããããé
ãæããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯ãªã fact6: æ
å ±çºä¿¡ããäžæ¹ã§èŠããæããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact7: ãããã¢ã³ã¹ã¿ãŒã¯æã£ãããªããŠãŸããã°ããªãããšããããšã¯ééãã ãšãããšããã¯èœã¡æã fact... | fact1: (x): {D}x fact2: (x): ¬{E}x -> ¬(¬{C}x & ¬{D}x) fact3: (x): ¬({F}x & {E}x) -> ¬{E}x fact4: (x): ¬({AA}x & ¬{AB}x) fact5: (x): ¬({EQ}x & ¬{BC}x) fact6: (x): ¬({EA}x & ¬{BD}x) fact7: (x): ¬(¬{C}x & ¬{D}x) -> {B}x fact8: (x): ¬{A}x -> ¬({CB}x & ¬{BU}x) fact9: (x): ¬({F}x & {E}x) fact10: (x): {D}x -> {C}x fact11: (x... | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | å°ãããããç©åãŒããªãã¢ã³ã¹ã¿ãŒã¯ãªã | (x): ¬({CB}x & ¬{BU}x) | [
"fact18 -> int1: ãã®ã¿ãã¿ãLv.32ã¯çéãé£ããšããããšã¯ãªããªãã°ããã®ã¿ãã¿ãLv.32ã¯å°ãããã©ããã¯ç©åãŒããªãããšããããšã¯ééã£ãŠãã; fact16 -> int2: ãã®ã¿ãã¿ãLv.32ã¯ãã°ã; fact17 -> int3: ãã®ã¿ãã¿ãLv.32ããã°ããªãæã£ãã; int2 & int3 -> int4: ãã®ã¿ãã¿ãLv.32ã¯æã£ãã;"
] | 6 | 1 | 1 | 0 | 0 | 14 | 0 | 14 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ãã°ãããšããããšã¯äºå®ã fact2: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯äž»å¬ãããšããããšã¯ãªããªããæã£ãããªããããŸãã«ããã¯ãã°ããªãããšããããšã¯æãç«ããªã fact3: ä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯æäœãæãããããäž»å¬ããããšããããšã¯åœã§ãããªãäž»å¬ããªã fact4: ããã¯åžåããæããéžæããæããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact5: æµ®ãæãããããé
ãæããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯ãªã fact6: æ
å ±çºä¿¡ããäžæ¹ã§èŠããæããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact7: ãããã¢ã³ã¹ã¿ãŒã¯æã£ãããªããŠãŸããã°ããªãããšããããšã¯ééãã ãšãããšãã... | fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {D}x fact2: (x): ¬{E}x -> ¬(¬{C}x & ¬{D}x) fact3: (x): ¬({F}x & {E}x) -> ¬{E}x fact4: (x): ¬({AA}x & ¬{AB}x) fact5: (x): ¬({EQ}x & ¬{BC}x) fact6: (x): ¬({EA}x & ¬{BD}x) fact7: (x): ¬(¬{C}x & ¬{D}x) -> {B}x fact8: (x): ¬{A}x -> ¬({CB}x & ¬{BU}x) fact9: (x): ¬({F}x & {E}x) fact10: (x): {D}x -> {C}x ... | fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãªã·ãLv.46ã¯çã | {A}{a} | fact1: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯ååããªããšããã°ãããã¯åã°ããããŸãã¯æµæµªããªããäž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªã fact2: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ç§ããããšããããšã¯ãªããšããããããã¯æ¡ãæããã©çããªãããšããããšã¯èª€ãã fact3: ä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯è¥ããªãããã®äžééç¡ããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªãã°ååããªã fact4: ããããšããã¢ã³ã¹ã¿ãŒã¯ããããããšããã°ãããã¯è¥ããªãããããééç¡ããªãããšããããšã¯åã fact5: ãããããšããã¢ã³ã¹ã¿ãŒã¯æ¡ãæãäžæ¹ã§ããã¯çããšããããšã¯ãªãããšããããšã¯èª€ãã§ãããšãããçã fact6: ãã®ãŸããŸãLv.60ã¯... | fact1: (x): ¬{G}x -> ¬({F}x v ¬{E}x) fact2: (x): ¬{D}x -> ¬({C}x & ¬{A}x) fact3: (x): ¬(¬{H}x & ¬{I}x) -> ¬{G}x fact4: (x): {J}x -> ¬(¬{H}x & ¬{I}x) fact5: (x): ¬({C}x & ¬{A}x) -> {A}x fact6: {B}{ar} fact7: (x): ¬{D}x -> ¬({C}x & {B}x) fact8: {L}{a} -> {K}{iq} fact9: (Ex): (¬{F}x & {H}x) fact10: (x): ¬({F}x v ¬{E}x) ->... | [] | [] | ãã®ãœããœã«Lv.12ã¯èãæã | {B}{iq} | [
"fact31 -> int1: ããä»®ã«ãã®ãœããœã«Lv.12ãçããªããã®ãœããœã«Lv.12ã¯èãæã; fact27 -> int2: ããã®ãœããœã«Lv.12ã¯æ¡ãæãããããããã¯çããšããããšã¯ãªãããšããããšã¯ééãã§ãããªããçãããšããããšã¯äºå®ã ; fact22 -> int3: ããä»®ã«ãã®ãœããœã«Lv.12ã¯ç§ããããšããããšã¯ãªããšããããæ¡ãæããŠæŽã«çããšããããšã¯ãªãããšããããšã¯èª€ãã§ãã; fact28 -> int4: ããããã®ãœããœã«Lv.12ã¯åã°ããããŸãã¯æµæµªãããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãããšããã°ããã®ãœããœã«Lv.12ã¯ç§ããããªãããšããããšã¯æãç«ã€; fa... | 13 | 1 | 1 | null | null | 19 | 0 | 19 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯ååããªããšããã°ãããã¯åã°ããããŸãã¯æµæµªããªããäž¡æ¹ãšãã§ããããšããããšã¯æãç«ããªã fact2: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ç§ããããšããããšã¯ãªããšããããããã¯æ¡ãæããã©çããªãããšããããšã¯èª€ãã fact3: ä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯è¥ããªãããã®äžééç¡ããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªãã°ååããªã fact4: ããããšããã¢ã³ã¹ã¿ãŒã¯ããããããšããã°ãããã¯è¥ããªãããããééç¡ããªãããšããããšã¯åã fact5: ãããããšããã¢ã³ã¹ã¿ãŒã¯æ¡ãæãäžæ¹ã§ããã¯çããšããããšã¯ãªãããšããããšã¯èª€ãã§ãããšãããçã fact6: ãã®... | __UNKNOWN__ | $facts$ = fact1: (x): ¬{G}x -> ¬({F}x v ¬{E}x) fact2: (x): ¬{D}x -> ¬({C}x & ¬{A}x) fact3: (x): ¬(¬{H}x & ¬{I}x) -> ¬{G}x fact4: (x): {J}x -> ¬(¬{H}x & ¬{I}x) fact5: (x): ¬({C}x & ¬{A}x) -> {A}x fact6: {B}{ar} fact7: (x): ¬{D}x -> ¬({C}x & {B}x) fact8: {L}{a} -> {K}{iq} fact9: (Ex): (¬{F}x & {H}x) fact10: (x): ¬({F}x v... | __UNKNOWN__ |
0.3 | ãã®ã·ã¡ãã·ãLv.19ã¯äžæ£ä¹è»ããªãããããã¯æããé£ããã©ã¡ããã§ãã | (¬{AA}{b} v {AB}{b}) | fact1: ãããããã¢ã³ã¹ã¿ãŒã¯èéããšããããšã¯ãªããšããã°ãããã¯äžæ£ä¹è»ããªããããã¯æããé£ãããšããããšã¯æãç«ããªã fact2: ãã®ãœããœã«ãLv.94ãéãå§ããªããªãæ
ããªãããã€ããã¯èãå¯ã fact3: ããä»®ã«ãã®ã·ãã·ãLv.15ãé転ãæããŠå ããŠãããéãå§ãããšãããšãã®ãœããœã«ãLv.94ã¯éãå§ããªã fact4: ãã®ã·ãã·ãLv.15ãæ
ãšããããªããªãããã¯é転ãæããŠããã«éãå§ãã fact5: ãã®ãœããœã«ãLv.94ãèéããšãããšãã®ã·ã¡ãã·ãLv.19ã¯äžæ£ä¹è»ããªããæããé£ãããŸãã¯ã©ã¡ããã§ãã fact6: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãæ
ããªããªãèéããªããŠããã«... | fact1: (x): ¬{A}x -> ¬(¬{AA}x v {AB}x) fact2: ¬{E}{a} -> ({B}{a} & {D}{a}) fact3: ({F}{c} & {E}{c}) -> ¬{E}{a} fact4: ¬{G}{c} -> ({F}{c} & {E}{c}) fact5: {A}{a} -> (¬{AA}{b} v {AB}{b}) fact6: (x): {B}x -> (¬{A}x & {C}x) fact7: ({AA}{b} v {AB}{b}) | [] | [] | ããã®ã·ã¡ãã·ãLv.19ã¯äžæ£ä¹è»ããªãããããã¯ããã¯æããé£ãããšããããšã¯èª€ã£ãŠãã | ¬(¬{AA}{b} v {AB}{b}) | [
"fact8 -> int1: ããä»®ã«ããã®ã·ã¡ãã·ãLv.19ã¯èéããšããããšã¯ãªãããšããããšã¯ééãã§ãªããšããããããã¯äžæ£ä¹è»ãããšããããšã¯ãªãããŸãã¯ããã¯æããé£ãããããã¯ã©ã¡ããã§ããããšããããšã¯æãç«ããªã; fact12 -> int2: ãããã®ãœããœã«ãLv.94ãæ
ããªããšãããšãã®ãœããœã«ãLv.94ã¯èéããªãäžæ¹ã§è²ã£ãœã;"
] | 8 | 1 | 1 | null | null | 6 | 0 | 6 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããããã¢ã³ã¹ã¿ãŒã¯èéããšããããšã¯ãªããšããã°ãããã¯äžæ£ä¹è»ããªããããã¯æããé£ãããšããããšã¯æãç«ããªã fact2: ãã®ãœããœã«ãLv.94ãéãå§ããªããªãæ
ããªãããã€ããã¯èãå¯ã fact3: ããä»®ã«ãã®ã·ãã·ãLv.15ãé転ãæããŠå ããŠãããéãå§ãããšãããšãã®ãœããœã«ãLv.94ã¯éãå§ããªã fact4: ãã®ã·ãã·ãLv.15ãæ
ãšããããªããªãããã¯é転ãæããŠããã«éãå§ãã fact5: ãã®ãœããœã«ãLv.94ãèéããšãããšãã®ã·ã¡ãã·ãLv.19ã¯äžæ£ä¹è»ããªããæããé£ãããŸãã¯ã©ã¡ããã§ãã fact6: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãæ
ããªããª... | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> ¬(¬{AA}x v {AB}x) fact2: ¬{E}{a} -> ({B}{a} & {D}{a}) fact3: ({F}{c} & {E}{c}) -> ¬{E}{a} fact4: ¬{G}{c} -> ({F}{c} & {E}{c}) fact5: {A}{a} -> (¬{AA}{b} v {AB}{b}) fact6: (x): {B}x -> (¬{A}x & {C}x) fact7: ({AA}{b} v {AB}{b}) ; $hypothesis$ = (¬{AA}{b} v {AB}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ã«ãã·ãLv.18ã¯å³ãé£ãããããä»ãæããšããããšã¯ãªã | ({AA}{a} & ¬{AB}{a}) | fact1: ãã®ã·ã«ãã·ãLv.18ã¯æ©ãèŸãããããè
«ããŒã£ãããªã fact2: ãã®ã·ã«ãã·ãLv.18ã¯è£è¿ããã©ä»ãæããšããããšã¯ãªã fact3: ãã®ãŸããŸã«ã
Lv.76ã¯å³ãé£ããšããããšã¯ãªã fact4: ãã®ã¿ã¡ã
ã¿ã¡ãLv.70ã¯å³ãé£ããªã fact5: ãã®ã·ã«ãã·ãLv.18ã¯å³ãé£ãããããä»ãæããšããããšã¯ãªã fact6: ãã®ã·ã«ãã·ãLv.18ã¯éžæãæããªã fact7: ãã®ã·ã«ãã·ãLv.18ã¯ç©æãããã©ããã¯è©±ãæããªã fact8: ãã®ã·ã«ãã·ãLv.18ã¯åç¶ãé£ããªã fact9: ãã®ãŽããŽã¡ã
Lv.42ã¯æ¬²ãããæ··åãæããªã fact10: ããã®ã·ã«ãã·ãLv.... | fact1: ({HP}{a} & ¬{AS}{a}) fact2: ({M}{a} & ¬{AB}{a}) fact3: ¬{AA}{ea} fact4: ¬{AA}{am} fact5: ({AA}{a} & ¬{AB}{a}) fact6: ¬{JB}{a} fact7: ({AT}{a} & ¬{GR}{a}) fact8: ¬{DC}{a} fact9: ({IJ}{eh} & ¬{JE}{eh}) fact10: ({DS}{a} & ¬{HL}{a}) fact11: ¬{AB}{dg} fact12: ({AN}{a} & ¬{FN}{a}) fact13: ({AA}{gi} & ¬{FA}{gi}) fact14... | [
"fact5 -> hypothesis;"
] | [
"fact5 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 16 | 0 | 16 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã·ã«ãã·ãLv.18ã¯æ©ãèŸãããããè
«ããŒã£ãããªã fact2: ãã®ã·ã«ãã·ãLv.18ã¯è£è¿ããã©ä»ãæããšããããšã¯ãªã fact3: ãã®ãŸããŸã«ã
Lv.76ã¯å³ãé£ããšããããšã¯ãªã fact4: ãã®ã¿ã¡ã
ã¿ã¡ãLv.70ã¯å³ãé£ããªã fact5: ãã®ã·ã«ãã·ãLv.18ã¯å³ãé£ãããããä»ãæããšããããšã¯ãªã fact6: ãã®ã·ã«ãã·ãLv.18ã¯éžæãæããªã fact7: ãã®ã·ã«ãã·ãLv.18ã¯ç©æãããã©ããã¯è©±ãæããªã fact8: ãã®ã·ã«ãã·ãLv.18ã¯åç¶ãé£ããªã fact9: ãã®ãŽããŽã¡ã
Lv.42ã¯æ¬²ãããæ··åãæããªã fact10: ã... | fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ({HP}{a} & ¬{AS}{a}) fact2: ({M}{a} & ¬{AB}{a}) fact3: ¬{AA}{ea} fact4: ¬{AA}{am} fact5: ({AA}{a} & ¬{AB}{a}) fact6: ¬{JB}{a} fact7: ({AT}{a} & ¬{GR}{a}) fact8: ¬{DC}{a} fact9: ({IJ}{eh} & ¬{JE}{eh}) fact10: ({DS}{a} & ¬{HL}{a}) fact11: ¬{AB}{dg} fact12: ({AN}{a} & ¬{FN}{a}) fact13: ({AA}{gi} & ¬{FA}{g... | fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ã«ã
ã¿ãLv.65ã¯ç¯ãé£ã | {A}{a} | fact1: ãã®ãŽã¡ããŽã«ã
Lv.19ã¯ç¯ãé£ã fact2: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãåããæããªããšãããããã¯ãæãããããã¯ç¯ãé£ã fact3: çºçŸãæãã¢ã³ã¹ã¿ãŒã¯åããæããšããããšã¯ãªããã©èµ·ãæã fact4: ããããã®ãŸããŸã«ã
Lv.62ã¯ææ¡ãèŸããããŸãã«ç§»åãæãããšããããšã¯åœã§ãããšãããããã®ã¿ã«ã
ã¿ãLv.65ã¯çºçŸãæããªãããšããããšã¯ç¢ºãã fact5: ãã®ã¿ã«ã
ã¿ãLv.65ã¯ç¯ãé£ããŠåããæã fact6: ãã®ã¿ã«ã
ã¿ãLv.65ã¯è¶ã£ãœã fact7: ãã®ã¿ã«ã
ã¿ãLv.65ã¯åããæã fact8: ãã®ã¿ã«ã
ã¿ãLv.65ãç¯ãé£ããšããããã®ã·ã«ã·ãLv.82... | fact1: {A}{aa} fact2: (x): ¬{B}x -> ({C}x v {A}x) fact3: (x): {E}x -> (¬{B}x & {D}x) fact4: ¬({F}{b} & {G}{b}) -> ¬{E}{a} fact5: ({A}{a} & {B}{a}) fact6: {DT}{a} fact7: {B}{a} fact8: {A}{a} -> {A}{s} fact9: ({B}{fo} & {CO}{fo}) fact10: {C}{a} -> {A}{s} fact11: (x): ¬{C}x -> (¬{A}x & {B}x) | [
"fact5 -> hypothesis;"
] | [
"fact5 -> hypothesis;"
] | ããã®ã¿ã«ã
ã¿ãLv.65ã¯ç¯ãé£ããšããããšã¯ãªãããšããããšã¯æ£ãã | ¬{A}{a} | [
"fact13 -> int1: ä»®ã«ãã®ã¿ã«ã
ã¿ãLv.65ã¯ãæããªããšããã°ããã¯ç¯ãé£ããªãäžæ¹ã§åããæã;"
] | 5 | 1 | 1 | 1 | 1 | 10 | 0 | 10 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽã¡ããŽã«ã
Lv.19ã¯ç¯ãé£ã fact2: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãåããæããªããšãããããã¯ãæãããããã¯ç¯ãé£ã fact3: çºçŸãæãã¢ã³ã¹ã¿ãŒã¯åããæããšããããšã¯ãªããã©èµ·ãæã fact4: ããããã®ãŸããŸã«ã
Lv.62ã¯ææ¡ãèŸããããŸãã«ç§»åãæãããšããããšã¯åœã§ãããšãããããã®ã¿ã«ã
ã¿ãLv.65ã¯çºçŸãæããªãããšããããšã¯ç¢ºãã fact5: ãã®ã¿ã«ã
ã¿ãLv.65ã¯ç¯ãé£ããŠåããæã fact6: ãã®ã¿ã«ã
ã¿ãLv.65ã¯è¶ã£ãœã fact7: ãã®ã¿ã«ã
ã¿ãLv.65ã¯åããæã fact8: ãã®ã¿ã«ã
ã¿ãLv.65ãç¯ãé£ããšãããã... | fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{aa} fact2: (x): ¬{B}x -> ({C}x v {A}x) fact3: (x): {E}x -> (¬{B}x & {D}x) fact4: ¬({F}{b} & {G}{b}) -> ¬{E}{a} fact5: ({A}{a} & {B}{a}) fact6: {DT}{a} fact7: {B}{a} fact8: {A}{a} -> {A}{s} fact9: ({B}{fo} & {CO}{fo}) fact10: {C}{a} -> {A}{s} fact11: (x): ¬{C}x -> (¬{A}x & {B}x) ; $hypothesis$ = {A}... | fact5 -> hypothesis; __PROVED__ |
0.3 | ããã®ã¿ã¡ã
ã¿ãLv.59ã¯èãã詳ãããªãããšããããšã¯æãç«ã€ | ({AA}{a} & ¬{AB}{a}) | fact1: ãããããã®ã¿ã¡ã
ã¿ãLv.59ã¯æ«æãããããšããããšã¯æ£ãããšããã°èãäžæ¹ã§è©³ãããªã fact2: ãã®ã¿ã¡ã
ã¿ãLv.59ã¯è©³ãããªã fact3: ãã®ãŽãªãŽã®Lv.72ãèœã¡æããªããšããããã®ãŽãªãŽã®Lv.72ã¯èããã©ããã¯æ¬²ãããšããããšã¯ãªã fact4: ããããã®ã¿ã¡ã
ã¿ãLv.59ã¯æ«æããããšãããããã®ã¿ã¡ã
ã¿ãLv.59ã¯è©³ãããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ãã fact5: ãã®ã¿ã¡ã
ã¿ãLv.59ã¯é£åãããããã詳ãããªã | fact1: {A}{a} -> ({AA}{a} & ¬{AB}{a}) fact2: ¬{AB}{a} fact3: ¬{D}{b} -> ({AA}{b} & ¬{B}{b}) fact4: {A}{a} -> ¬{AB}{a} fact5: ({JJ}{a} & ¬{AB}{a}) | [] | [] | ãã®ãŽã«ããŽã«ãLv.39ã¯èãããã©ããã¯çœããªã | ({AA}{ae} & ¬{FK}{ae}) | [] | 4 | 1 | 1 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããããã®ã¿ã¡ã
ã¿ãLv.59ã¯æ«æãããããšããããšã¯æ£ãããšããã°èãäžæ¹ã§è©³ãããªã fact2: ãã®ã¿ã¡ã
ã¿ãLv.59ã¯è©³ãããªã fact3: ãã®ãŽãªãŽã®Lv.72ãèœã¡æããªããšããããã®ãŽãªãŽã®Lv.72ã¯èããã©ããã¯æ¬²ãããšããããšã¯ãªã fact4: ããããã®ã¿ã¡ã
ã¿ãLv.59ã¯æ«æããããšãããããã®ã¿ã¡ã
ã¿ãLv.59ã¯è©³ãããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ãã fact5: ãã®ã¿ã¡ã
ã¿ãLv.59ã¯é£åãããããã詳ãããªã ; $hypothesis$ = ããã®ã¿ã¡ã
ã¿ãLv.59ã¯èãã詳ãããªãããšããããšã¯æãç«ã€ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> ({AA}{a} & ¬{AB}{a}) fact2: ¬{AB}{a} fact3: ¬{D}{b} -> ({AA}{b} & ¬{B}{b}) fact4: {A}{a} -> ¬{AB}{a} fact5: ({JJ}{a} & ¬{AB}{a}) ; $hypothesis$ = ({AA}{a} & ¬{AB}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ã·ã«ã
ã·ã«ãLv.67äºä»¶ã¯çºçããªãäžæ¹ã§è¿äºããããšãèµ·ãã | (¬{AA} & {AB}) | fact1: ããçã£æããšããããšã§ã¯ãªããŠãœã«ãœã«ã
Lv.77äºä»¶ãçºçããããšããããšã¯ãããã®Lv.19äºä»¶ã¯çããªããšããããšã«ããçºçããããšããããšã¯æãç«ã€ fact2: ããŽããŽã¡ãLv.66äºä»¶ã¯çããªãããšããããšã¯ã·ã«ãã·ã«ãLv.70äºä»¶ã¯çããªããšããããšãåé¿ãã fact3: ããããLv.10äºä»¶ã¯èµ·ããªã | fact1: ¬{AK} -> (¬{T} & {EC}) fact2: ¬{FB} -> {GC} fact3: ¬{A} | [] | [] | null | null | [] | null | 1 | 1 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããçã£æããšããããšã§ã¯ãªããŠãœã«ãœã«ã
Lv.77äºä»¶ãçºçããããšããããšã¯ãããã®Lv.19äºä»¶ã¯çããªããšããããšã«ããçºçããããšããããšã¯æãç«ã€ fact2: ããŽããŽã¡ãLv.66äºä»¶ã¯çããªãããšããããšã¯ã·ã«ãã·ã«ãLv.70äºä»¶ã¯çããªããšããããšãåé¿ãã fact3: ããããLv.10äºä»¶ã¯èµ·ããªã ; $hypothesis$ = ã·ã«ã
ã·ã«ãLv.67äºä»¶ã¯çºçããªãäžæ¹ã§è¿äºããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{AK} -> (¬{T} & {EC}) fact2: ¬{FB} -> {GC} fact3: ¬{A} ; $hypothesis$ = (¬{AA} & {AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããããã®ãœã®ãœã«ãLv.12ãæž©ãç¶ããªããªãã°ããã¯è¿·ãé£ã | ¬{B}{aa} -> {C}{aa} | fact1: ããä»®ã«ãã®ãœã®ãœã«ãLv.12ãè¿·ãé£ããšããã°ãã®ãœã®ãœã«ãLv.12ã¯ãªãã fact2: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãå¿çœ®ãç¡ããªããšãããããã¯èšãèãã fact3: ä»®ã«ãã®ãœã®ãœã«ãLv.12ãæž©ãç¶ãããšãããšããã¯è¿·ãé£ã fact4: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãæž©ãç¶ãããšããããšã¯ãªããªãã°è¿·ãé£ã fact5: ãã®ãœã®ãœã«ãLv.12ã¯æž©ãç¶ãããšãããšãåºãããšããããšã¯æ¬åœã fact6: ããããã®ãœã®ãœã«ãLv.12ã矜ç¹ããªããªãã°æž©ãç¶ãã fact7: ããããã®ãœã®ãœã«ãLv.12ãããã°ãããªããªãããã¯éãé£ã fact8: ããä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯æ³³ãçãããšããã... | fact1: {C}{aa} -> {BD}{aa} fact2: (x): ¬{JD}x -> {BM}x fact3: {B}{aa} -> {C}{aa} fact4: (x): ¬{B}x -> {C}x fact5: {B}{aa} -> {GL}{aa} fact6: ¬{AU}{aa} -> {B}{aa} fact7: ¬{GP}{aa} -> {IF}{aa} fact8: (x): {CJ}x -> {DI}x fact9: {ID}{aa} -> {C}{aa} fact10: ¬{CO}{gr} -> {C}{gr} fact11: (x): {BA}x -> {HK}x fact12: (x): ¬{DL}... | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | ãããã®ãœã¡ããœãLv.31ãå¿çœ®ãç¡ããªããšãããèšãèãã | ¬{JD}{bf} -> {BM}{bf} | [
"fact19 -> hypothesis;"
] | 1 | 1 | 1 | 1 | 1 | 17 | 0 | 17 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ããä»®ã«ãã®ãœã®ãœã«ãLv.12ãè¿·ãé£ããšããã°ãã®ãœã®ãœã«ãLv.12ã¯ãªãã fact2: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãå¿çœ®ãç¡ããªããšãããããã¯èšãèãã fact3: ä»®ã«ãã®ãœã®ãœã«ãLv.12ãæž©ãç¶ãããšãããšããã¯è¿·ãé£ã fact4: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒãæž©ãç¶ãããšããããšã¯ãªããªãã°è¿·ãé£ã fact5: ãã®ãœã®ãœã«ãLv.12ã¯æž©ãç¶ãããšãããšãåºãããšããããšã¯æ¬åœã fact6: ããããã®ãœã®ãœã«ãLv.12ã矜ç¹ããªããªãã°æž©ãç¶ãã fact7: ããããã®ãœã®ãœã«ãLv.12ãããã°ãããªããªãããã¯éãé£ã fact8: ããä»®ã«ãããã¢ã³ã¹ã¿ãŒ... | fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{aa} -> {BD}{aa} fact2: (x): ¬{JD}x -> {BM}x fact3: {B}{aa} -> {C}{aa} fact4: (x): ¬{B}x -> {C}x fact5: {B}{aa} -> {GL}{aa} fact6: ¬{AU}{aa} -> {B}{aa} fact7: ¬{GP}{aa} -> {IF}{aa} fact8: (x): {CJ}x -> {DI}x fact9: {ID}{aa} -> {C}{aa} fact10: ¬{CO}{gr} -> {C}{gr} fact11: (x): {BA}x -> {HK}x fact12: ... | fact4 -> hypothesis; __PROVED__ |
0.3 | å¯èŠãããšããããšã¯èµ·ããªã | ¬{B} | fact1: ããä»®ã«å¯èŠãããšããããšãèµ·ãããšããã°ãæµ
éããããšãçºçããªããããã«ãŸããŸã®Lv.61äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€ fact2: ææãæããšããããšã¯çºçããªã fact3: ããä»®ã«ãå¯èŠãããšããããšã¯çããªãããŸããŸããŸã®Lv.61äºä»¶ã¯èµ·ãããªãããšããããšã¯èª€ã£ãŠããã°å¯èŠãããšããããšãçºçãã fact4: æ¥ããããšããããšãèµ·ããããŸããŸãLv.96äºä»¶ã¯çããªã fact5: ãå¯èŠãããšããããšã¯çããªãããšããããšã¯ã埡åãèŽãããšã¯çããªãããšããããšã«é»æ¢ããã fact6: å¯èŠãããšããããšã¯çããªããšããããšã¯ãæ¥ããããšããããšã¯çºçãããã©ãŸããŸãLv.96äºä»¶ã¯... | fact1: {B} -> (¬{BE} & ¬{A}) fact2: ¬{L} fact3: ¬(¬{B} & ¬{A}) -> {B} fact4: ({AA} & ¬{AB}) fact5: ¬{C} -> {B} fact6: ({AA} & ¬{AB}) -> ¬{B} fact7: ¬{J} -> ({H} & {I}) fact8: ¬{E} -> ({D} & {C}) fact9: ({EU} & ¬{BH}) -> ¬{FE} fact10: ({GH} & ¬{J}) fact11: {H} -> ¬{G} fact12: ¬{E} -> (¬{C} & {D}) fact13: ¬(¬{G} & {F}) -... | [
"fact6 & fact4 -> hypothesis;"
] | [
"fact6 & fact4 -> hypothesis;"
] | ãæµ
éããããšã¯çããªãããšããããšã¯äºå®ã§ãã | ¬{BE} | [] | 9 | 1 | 1 | 1 | 1 | 13 | 0 | 13 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«å¯èŠãããšããããšãèµ·ãããšããã°ãæµ
éããããšãçºçããªããããã«ãŸããŸã®Lv.61äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€ fact2: ææãæããšããããšã¯çºçããªã fact3: ããä»®ã«ãå¯èŠãããšããããšã¯çããªãããŸããŸããŸã®Lv.61äºä»¶ã¯èµ·ãããªãããšããããšã¯èª€ã£ãŠããã°å¯èŠãããšããããšãçºçãã fact4: æ¥ããããšããããšãèµ·ããããŸããŸãLv.96äºä»¶ã¯çããªã fact5: ãå¯èŠãããšããããšã¯çããªãããšããããšã¯ã埡åãèŽãããšã¯çããªãããšããããšã«é»æ¢ããã fact6: å¯èŠãããšããããšã¯çããªããšããããšã¯ãæ¥ããããšããããšã¯çºçãããã©ãŸã... | fact6 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} -> (¬{BE} & ¬{A}) fact2: ¬{L} fact3: ¬(¬{B} & ¬{A}) -> {B} fact4: ({AA} & ¬{AB}) fact5: ¬{C} -> {B} fact6: ({AA} & ¬{AB}) -> ¬{B} fact7: ¬{J} -> ({H} & {I}) fact8: ¬{E} -> ({D} & {C}) fact9: ({EU} & ¬{BH}) -> ¬{FE} fact10: ({GH} & ¬{J}) fact11: {H} -> ¬{G} fact12: ¬{E} -> (¬{C} & {D}) fact13: ¬(¬{G... | fact6 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãŸã«ã
ãŸã«ãLv.4äºä»¶ãèµ·ãããç®ç«ã¡å§ããããšã¯èµ·ããªã | ({AA} & ¬{AB}) | fact1: ããŸã«ã
ãŸã«ãLv.4äºä»¶ãèµ·ãããç®ç«ã¡å§ããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªã fact2: ä»®ã«ãã«ããã«ãLv.56äºä»¶ãçãããªãããçã¿åºãç¶ããããšãèµ·ãããä¿ã¡æããšããããšã¯çããªãããšããããšã¯äºå®ãšç°ãªããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ãªã fact3: ããããããšãçºçãããæžãé£ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ããªã fact4: ããèœã¡é£ããšããããšãèµ·ãããšãããè²ãŠæããšããããšãèµ·ããäžæ¹ã§ãœã«ã
ãœã«ãLv.47äºä»¶ã¯çããªã fact5: ä»®ã«ãã·ã«ãã·ã®Lv.0äºä»¶ãçããããããã¯ãã«ããã«ãLv.56äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ãšç°ãªããšããããç®ç«ã¡... | fact1: ¬({AA} & {AB}) fact2: {A} -> ¬({BS} & ¬{CR}) fact3: ¬({BF} & ¬{AO}) fact4: {H} -> ({G} & ¬{F}) fact5: ¬({B} v ¬{A}) -> ¬{AB} fact6: ¬({AU} & ¬{E}) fact7: ¬({EE} & ¬{FD}) fact8: ¬{D} -> ({AA} & {C}) fact9: (¬{Q} & {P}) -> ¬{O} fact10: ¬{F} -> ¬{E} fact11: ¬{C} -> ({B} & {A}) fact12: ¬{F} -> ¬({E} & {D}) fact13: ¬... | [] | [] | ãŸã«ã
ãŸã«ãLv.4äºä»¶ãèµ·ãããç®ç«ã¡å§ããããšã¯èµ·ããªã | ({AA} & ¬{AB}) | [] | 15 | 1 | 1 | null | null | 19 | 0 | 19 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããŸã«ã
ãŸã«ãLv.4äºä»¶ãèµ·ãããç®ç«ã¡å§ããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªã fact2: ä»®ã«ãã«ããã«ãLv.56äºä»¶ãçãããªãããçã¿åºãç¶ããããšãèµ·ãããä¿ã¡æããšããããšã¯çããªãããšããããšã¯äºå®ãšç°ãªããšããããšã¯ãªãããšããããšã¯ç¢ºãã§ãªã fact3: ããããããšãçºçãããæžãé£ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ããªã fact4: ããèœã¡é£ããšããããšãèµ·ãããšãããè²ãŠæããšããããšãèµ·ããäžæ¹ã§ãœã«ã
ãœã«ãLv.47äºä»¶ã¯çããªã fact5: ä»®ã«ãã·ã«ãã·ã®Lv.0äºä»¶ãçããããããã¯ãã«ããã«ãLv.56äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ãšç°... | __UNKNOWN__ | $facts$ = fact1: ¬({AA} & {AB}) fact2: {A} -> ¬({BS} & ¬{CR}) fact3: ¬({BF} & ¬{AO}) fact4: {H} -> ({G} & ¬{F}) fact5: ¬({B} v ¬{A}) -> ¬{AB} fact6: ¬({AU} & ¬{E}) fact7: ¬({EE} & ¬{FD}) fact8: ¬{D} -> ({AA} & {C}) fact9: (¬{Q} & {P}) -> ¬{O} fact10: ¬{F} -> ¬{E} fact11: ¬{C} -> ({B} & {A}) fact12: ¬{F} -> ¬({E} & {D})... | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ãLv.0ã¯ååŸãæããã©èŠåºããªã | ({AA}{b} & ¬{AB}{b}) | fact1: ããããã®ã¿ã«ãã¿ã«Lv.42ãäŒãããããã«æ¢ã¿é£ããšãããšãã®ã¿ã«ãã¿ã«Lv.42ã¯æ·ã¿ç¡ããšããããšã¯ãªã fact2: ãããã®ã¿ã«ãã¿ã«Lv.42ãæ·ã¿ç¡ããšããããšã¯ãªããšããã°ãã®ã¿ã«ãã¿ã«Lv.42ã¯çãé£ããŠé£ã¹ç¶ãã fact3: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãæ·ã¿ç¡ããªããšãããç©åããŠé£ã¹ç¶ãã fact4: ãã®ãã«ããã®Lv.36ãæã¡éããããšãããã€ã¹ããããŸãã¯ããã¯æ·ã¿ç¡ããªã fact5: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯è¥è
ããããšãããšãååŸãæããããã«èŠåºããªãããšããããšã¯åœã§ãã fact6: ãã®ã¿ãã¿ãLv.19ã¯è¥è
ããã fact7: ãã®ãã«ããã®Lv.36ãè¥è
ããããš... | fact1: ({H}{fn} & {G}{fn}) -> ¬{D}{fn} fact2: ¬{D}{fn} -> ({JJ}{fn} & {C}{fn}) fact3: (x): ¬{D}x -> ({B}x & {C}x) fact4: {F}{a} -> ({E}{a} v ¬{D}{a}) fact5: (x): {A}x -> ¬({AA}x & ¬{AB}x) fact6: {A}{gj} fact7: ¬{A}{a} -> ({AA}{b} & ¬{AB}{b}) fact8: {G}{fn} fact9: (¬{A}{a} & ¬{IP}{a}) -> ¬{IP}{fn} fact10: {H}{fn} fact11... | [] | [] | ãããã®ã·ãã·ãLv.0ã¯ååŸãæãäžæ¹ã§èŠåºããšããããšã¯ãªãããšããããšã¯æ¬åœã ããšããããšã¯åã§ãã | ¬({AA}{b} & ¬{AB}{b}) | [
"fact14 -> int1: ä»®ã«ããã®ã·ãã·ãLv.0ã¯è¥è
ãããããšããããšã¯æ¬åœã§ãããªãããã®ã·ãã·ãLv.0ã¯ååŸãæãããã©èŠåºããªãããšããããšã¯ééãã ; fact13 -> int2: ããã®ãã«ããã®Lv.36ãæ·ã¿ç¡ããªããšããã°ãã®ãã«ããã®Lv.36ã¯ç©åãããããé£ã¹ç¶ããããšããããšã¯æ£ãã; fact15 -> int3: ãããã®ãã«ããã®Lv.36ãã€ã¹ãããæ·ã¿ç¡ããšããããšã¯ãªããšãããšãã®ãã«ããã®Lv.36ã¯æ·ã¿ç¡ããªã; fact17 & fact16 -> int4: ãã®ãã«ããã®Lv.36ã¯ã€ã¹ãããæ·ã¿ç¡ããšããããšã¯ãªãããããã¯äž¡æ¹ãšãã ; int3 & int4... | 7 | 1 | 1 | null | null | 11 | 0 | 11 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã®ã¿ã«ãã¿ã«Lv.42ãäŒãããããã«æ¢ã¿é£ããšãããšãã®ã¿ã«ãã¿ã«Lv.42ã¯æ·ã¿ç¡ããšããããšã¯ãªã fact2: ãããã®ã¿ã«ãã¿ã«Lv.42ãæ·ã¿ç¡ããšããããšã¯ãªããšããã°ãã®ã¿ã«ãã¿ã«Lv.42ã¯çãé£ããŠé£ã¹ç¶ãã fact3: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãæ·ã¿ç¡ããªããšãããç©åããŠé£ã¹ç¶ãã fact4: ãã®ãã«ããã®Lv.36ãæã¡éããããšãããã€ã¹ããããŸãã¯ããã¯æ·ã¿ç¡ããªã fact5: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯è¥è
ããããšãããšãååŸãæããããã«èŠåºããªãããšããããšã¯åœã§ãã fact6: ãã®ã¿ãã¿ãLv.19ã¯è¥è
ããã fact7: ãã®ãã«ããã®Lv... | __UNKNOWN__ | $facts$ = fact1: ({H}{fn} & {G}{fn}) -> ¬{D}{fn} fact2: ¬{D}{fn} -> ({JJ}{fn} & {C}{fn}) fact3: (x): ¬{D}x -> ({B}x & {C}x) fact4: {F}{a} -> ({E}{a} v ¬{D}{a}) fact5: (x): {A}x -> ¬({AA}x & ¬{AB}x) fact6: {A}{gj} fact7: ¬{A}{a} -> ({AA}{b} & ¬{AB}{b}) fact8: {G}{fn} fact9: (¬{A}{a} & ¬{IP}{a}) -> ¬{IP}{fn} fact10: {H}{... | __UNKNOWN__ |
0.3 | ä»®ã«ããã®ã¿ã¡ãã¿ãLv.77ã¯æµäžæ·±ããŠç²é«ãããšããããšã¯åœãªãéããªã | ¬({AA}{aa} & {AB}{aa}) -> ¬{B}{aa} | fact1: ä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯æµäžæ·±ããŠããã¯ç²é«ãããšããããšã¯ééã£ãŠããã°éããªã | fact1: (x): ¬({AA}x & {AB}x) -> ¬{B}x | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯æµäžæ·±ããŠããã¯ç²é«ãããšããããšã¯ééã£ãŠããã°éããªã ; $hypothesis$ = ä»®ã«ããã®ã¿ã¡ãã¿ãLv.77ã¯æµäžæ·±ããŠç²é«ãããšããããšã¯åœãªãéããªã ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬({AA}x & {AB}x) -> ¬{B}x ; $hypothesis$ = ¬({AA}{aa} & {AB}{aa}) -> ¬{B}{aa} ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœãªãœãLv.98ã¯äžå Žããªãäžæ¹ã§å¹Œã | (¬{AA}{a} & {AB}{a}) | fact1: ããããã®ã·ã¡ãã·ã«ãLv.34ãçšè¿ããªããã®ã·ã¡ãã·ã«ãLv.34ã¯å¹Œããªããããã¯åã fact2: ãã®ãœãªãœãLv.98ã¯äžå Žããªãäžæ¹ã§å¹Œã fact3: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯çšè¿ããšããããããã¯äžå Žããªããã©å¹Œãããšããããšã¯åã | fact1: {A}{el} -> (¬{AB}{el} & {HH}{el}) fact2: (¬{AA}{a} & {AB}{a}) fact3: (x): {A}x -> ¬(¬{AA}x & {AB}x) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ããã®ãœãªãœãLv.98ã¯äžå Žããªããããã幌ãããšããããšã¯æãç«ããªã | ¬(¬{AA}{a} & {AB}{a}) | [
"fact4 -> int1: ä»®ã«ãã®ãœãªãœãLv.98ã¯çšè¿ããªãã°ããã®ãœãªãœãLv.98ã¯äžå Žãããšããããšã¯ãªããã©å¹Œãããšããããšã¯æãç«ããªã;"
] | 5 | 1 | 1 | 0 | 0 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ã·ã¡ãã·ã«ãLv.34ãçšè¿ããªããã®ã·ã¡ãã·ã«ãLv.34ã¯å¹Œããªããããã¯åã fact2: ãã®ãœãªãœãLv.98ã¯äžå Žããªãäžæ¹ã§å¹Œã fact3: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯çšè¿ããšããããããã¯äžå Žããªããã©å¹Œãããšããããšã¯åã ; $hypothesis$ = ãã®ãœãªãœãLv.98ã¯äžå Žããªãäžæ¹ã§å¹Œã ; $proof$ = | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{el} -> (¬{AB}{el} & {HH}{el}) fact2: (¬{AA}{a} & {AB}{a}) fact3: (x): {A}x -> ¬(¬{AA}x & {AB}x) ; $hypothesis$ = (¬{AA}{a} & {AB}{a}) ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | çŠãã£ãããšããããšã¯çããªãããŽããŽãLv.88äºä»¶ãçºçãã | (¬{AA} & {AB}) | fact1: ããŠã³ããŒãããããšãçºçããªããŠæœãããšãçºçããã°æµæããããšã¯çºçããªã fact2: æµæããããšãçãã fact3: ã¿ãã¿ãLv.68äºä»¶ã¯çããªããšããããšã¯ãŸããŸãLv.91äºä»¶ãé»ã fact4: ãããæµæããããšã¯çããªããšãããšããŸã®ãŸã¡ãLv.34äºä»¶ã§ã¯ãªãåºæ·±ããšããããšãçããããšããããšã¯ééã£ãŠãã fact5: ãããŸããŸãLv.91äºä»¶ã¯çããªããšãããšã管çãæããšããããšã§ã¯ãªãã¿ãã¿ãLv.98äºä»¶ãèµ·ããããšããããšã¯èª€ãã§ãã fact6: ãçŠãã£ãããšããããšãçãããå ããŠãŽããŽãLv.88äºä»¶ãçããããšããããšã¯æãç«ããªã fact7: ãé
žã£ã±ããšããã... | fact1: (¬{C} & {B}) -> ¬{A} fact2: {A} fact3: ¬{L} -> ¬{F} fact4: ¬{A} -> ¬(¬{CN} & {DQ}) fact5: ¬{F} -> ¬(¬{D} & {E}) fact6: ¬({AA} & {AB}) fact7: ¬{H} -> ({B} & {G}) fact8: {P} -> ¬(¬{N} & ¬{O}) fact9: ({P} & {Q}) fact10: ¬(¬{N} & ¬{O}) -> ¬{L} fact11: {A} -> ¬(¬{AA} & {AB}) fact12: ¬(¬{D} & {E}) -> ¬{C} | [
"fact11 & fact2 -> hypothesis;"
] | [
"fact11 & fact2 -> hypothesis;"
] | ããŸã®ãŸã¡ãLv.34äºä»¶ã¯èµ·ãããªããåºæ·±ããšããããšãèµ·ããããšããããšã¯èª€ãã | ¬(¬{CN} & {DQ}) | [
"fact15 -> int1: ã¿ãã¿ãLv.95äºä»¶ãçãã; fact13 & int1 -> int2: ãæ°é£ãããšããããšã¯çããªããŠããããããšããããšã¯èµ·ããªãããšããããšã¯æãç«ããªã; fact16 & int2 -> int3: ã¿ãã¿ãLv.68äºä»¶ã¯èµ·ãããªã; fact19 & int3 -> int4: ãŸããŸãLv.91äºä»¶ã¯çããªã; fact21 & int4 -> int5: ã管çãæããšããããšã¯èµ·ãããªããã¿ãã¿ãLv.98äºä»¶ãèµ·ããããšããããšã¯æãç«ããªã; fact18 & int5 -> int6: ããŠã³ããŒãããããšã¯çããªã;"
] | 9 | 1 | 1 | 1 | 1 | 10 | 0 | 10 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããŠã³ããŒãããããšãçºçããªããŠæœãããšãçºçããã°æµæããããšã¯çºçããªã fact2: æµæããããšãçãã fact3: ã¿ãã¿ãLv.68äºä»¶ã¯çããªããšããããšã¯ãŸããŸãLv.91äºä»¶ãé»ã fact4: ãããæµæããããšã¯çããªããšãããšããŸã®ãŸã¡ãLv.34äºä»¶ã§ã¯ãªãåºæ·±ããšããããšãçããããšããããšã¯ééã£ãŠãã fact5: ãããŸããŸãLv.91äºä»¶ã¯çããªããšãããšã管çãæããšããããšã§ã¯ãªãã¿ãã¿ãLv.98äºä»¶ãèµ·ããããšããããšã¯èª€ãã§ãã fact6: ãçŠãã£ãããšããããšãçãããå ããŠãŽããŽãLv.88äºä»¶ãçããããšããããšã¯æãç«ããªã fact7:... | fact11 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{C} & {B}) -> ¬{A} fact2: {A} fact3: ¬{L} -> ¬{F} fact4: ¬{A} -> ¬(¬{CN} & {DQ}) fact5: ¬{F} -> ¬(¬{D} & {E}) fact6: ¬({AA} & {AB}) fact7: ¬{H} -> ({B} & {G}) fact8: {P} -> ¬(¬{N} & ¬{O}) fact9: ({P} & {Q}) fact10: ¬(¬{N} & ¬{O}) -> ¬{L} fact11: {A} -> ¬(¬{AA} & {AB}) fact12: ¬(¬{D} & {E}) -> ¬{C} ; ... | fact11 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã¡ããã¡ãLv.35ã¯å
±ååŠçããªãããããããã¯ç€ŸäŒåŸ©åž°ãã | (¬{AA}{a} & {AB}{a}) | fact1: ããããªãããã®ã¢ã³ã¹ã¿ãŒã埡å
¥ãçºãããšããããšã¯ãªããªãã°æ°å¿ãããããã䞻管ããããšããããšã¯çå®ã§ãã fact2: ãããããã®ã¿ãã¿ã«ãLv.40ã¯èŸæ°èããªãããã©è¡ãããšããããšã¯æãç«ããªããšãããšãã®ãã¡ã
ããLv.63ã¯è¡ã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è¡ããŠæ°å¿ãã fact4: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯è³ãããªããªãã°ãå
±ååŠçããªããããã瀟äŒåŸ©åž°ããããšããããšã¯èª€ã£ãŠãã fact5: è¡ãã¢ã³ã¹ã¿ãŒã¯æ»ãæããšãããšãè³ããããšããããšã¯ééãã fact6: ãã®ãŽããŽãLv.68ãè³ãããªããªããã®ãã¡ããã¡ãLv.35ã¯æ¥æ¬äººããããšããããšã¯ãªãããããå³ãé£ã fact... | fact1: (x): ¬{G}x -> ({D}x & {F}x) fact2: ¬(¬{E}{d} & {C}{d}) -> {C}{c} fact3: (x): ({C}x & {D}x) fact4: (x): ¬{A}x -> ¬(¬{AA}x & {AB}x) fact5: (x): ({C}x & {B}x) -> ¬{A}x fact6: ¬{A}{b} -> (¬{IG}{a} & {ID}{a}) fact7: (x): {D}x -> ¬(¬{E}x & {C}x) fact8: ¬{AA}{a} fact9: ¬(¬{A}{c} & {B}{c}) -> ¬{A}{b} fact10: (x): ¬({H}x... | [] | [] | ãã®ãã¡ããã¡ãLv.35ã¯æ¥æ¬äººããããªããå³ãé£ã | (¬{IG}{a} & {ID}{a}) | [
"fact12 -> int1: ããããã®ãã¡ã
ããLv.63ã¯è¡ããšãããšããã®ãã¡ã
ããLv.63ã¯è³ãããªãããããæ»ãæãããšããããšã¯æ£ãããªã; fact15 -> int2: ãã®ã¿ãã¿ã«ãLv.40ã¯æ°å¿ãããšããã°ããã®ã¿ãã¿ã«ãLv.40ã¯èŸæ°èããªããã©è¡ãããšããããšã¯æãç«ããªã; fact13 -> int3: ããããã®ã¿ãã¿ã«ãLv.40ã埡å
¥ãçºãããªããªããã®ã¿ãã¿ã«ãLv.40ã¯æ°å¿ãããŠæŽã«äž»ç®¡ãã; fact16 -> int4: ãããããã®ã¿ãã¿ã«ãLv.40ãåäŸãããããã®äžããã¯äžåŒãããããšããããšã¯äºå®ã§ãªããšããããã®ã¿ãã¿ã«ãLv.40ã¯åŸ¡å
¥ãçºãããªã;"
] | 9 | 1 | 1 | null | null | 11 | 0 | 11 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããªãããã®ã¢ã³ã¹ã¿ãŒã埡å
¥ãçºãããšããããšã¯ãªããªãã°æ°å¿ãããããã䞻管ããããšããããšã¯çå®ã§ãã fact2: ãããããã®ã¿ãã¿ã«ãLv.40ã¯èŸæ°èããªãããã©è¡ãããšããããšã¯æãç«ããªããšãããšãã®ãã¡ã
ããLv.63ã¯è¡ã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è¡ããŠæ°å¿ãã fact4: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯è³ãããªããªãã°ãå
±ååŠçããªããããã瀟äŒåŸ©åž°ããããšããããšã¯èª€ã£ãŠãã fact5: è¡ãã¢ã³ã¹ã¿ãŒã¯æ»ãæããšãããšãè³ããããšããããšã¯ééãã fact6: ãã®ãŽããŽãLv.68ãè³ãããªããªããã®ãã¡ããã¡ãLv.35ã¯æ¥æ¬äººããããšããããšã¯ãªãããã... | __UNKNOWN__ | $facts$ = fact1: (x): ¬{G}x -> ({D}x & {F}x) fact2: ¬(¬{E}{d} & {C}{d}) -> {C}{c} fact3: (x): ({C}x & {D}x) fact4: (x): ¬{A}x -> ¬(¬{AA}x & {AB}x) fact5: (x): ({C}x & {B}x) -> ¬{A}x fact6: ¬{A}{b} -> (¬{IG}{a} & {ID}{a}) fact7: (x): {D}x -> ¬(¬{E}x & {C}x) fact8: ¬{AA}{a} fact9: ¬(¬{A}{c} & {B}{c}) -> ¬{A}{b} fact10: (... | __UNKNOWN__ |
0.3 | éãããšãçºçãã | {A} | fact1: ãŽã«ããŽã¡ãLv.1äºä»¶ãèµ·ãã fact2: ãŽããŽãLv.88äºä»¶ããã³æ··åãæããšããããšäž¡æ¹ãçºçãã fact3: æ··åãæããšããããšãçãã fact4: ç²æç²æãããšããããšã¯èµ·ãããªããŠç©åãŸãããšããããšã¯èµ·ãããªã fact5: ã¿ãã¿ã¡ãLv.65äºä»¶ãçãã fact6: ããä»®ã«ããŸã¡ããŸã«Lv.14äºä»¶ããã³çšé ããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯åœãªãããŸã¡ããŸã«Lv.14äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ã€ fact7: ãç ããšããããšãšéãããšãçºçããããšããããšã¯ãéžæããæããšããããšã¯èµ·ããªãããšããããšã«èµ·å ãã fact8: æ°ããšããããšã¯ãŽã«ããŽã¡ãLv.... | fact1: {B} fact2: ({F} & {BF}) fact3: {BF} fact4: (¬{H} & ¬{D}) fact5: {EH} fact6: ¬({I} & {K}) -> ¬{I} fact7: ¬{E} -> ({CQ} & {A}) fact8: {B} -> {FT} fact9: ¬{I} -> ({G} v ¬{F}) fact10: {ES} fact11: ¬{D} -> ({B} & {C}) fact12: ({A} & {B}) | [
"fact12 -> hypothesis;"
] | [
"fact12 -> hypothesis;"
] | æ°ããšããããšãçãããããŸãã«ç ããšããããšãèµ·ãã | ({FT} & {CQ}) | [
"fact15 -> int1: ç©åãŸãããšããããšã¯çããªã; fact16 & int1 -> int2: ãŽã«ããŽã¡ãLv.1äºä»¶ãšè¿ããšããããšäž¡æ¹ãèµ·ãã; int2 -> int3: ãŽã«ããŽã¡ãLv.1äºä»¶ãèµ·ãã; fact17 & int3 -> int4: æ°ããšããããšãçãã;"
] | 7 | 1 | 1 | 1 | 1 | 11 | 0 | 11 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãŽã«ããŽã¡ãLv.1äºä»¶ãèµ·ãã fact2: ãŽããŽãLv.88äºä»¶ããã³æ··åãæããšããããšäž¡æ¹ãçºçãã fact3: æ··åãæããšããããšãçãã fact4: ç²æç²æãããšããããšã¯èµ·ãããªããŠç©åãŸãããšããããšã¯èµ·ãããªã fact5: ã¿ãã¿ã¡ãLv.65äºä»¶ãçãã fact6: ããä»®ã«ããŸã¡ããŸã«Lv.14äºä»¶ããã³çšé ããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯åœãªãããŸã¡ããŸã«Lv.14äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ã€ fact7: ãç ããšããããšãšéãããšãçºçããããšããããšã¯ãéžæããæããšããããšã¯èµ·ããªãããšããããšã«èµ·å ãã fact8: æ°ããšããããš... | fact12 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} fact2: ({F} & {BF}) fact3: {BF} fact4: (¬{H} & ¬{D}) fact5: {EH} fact6: ¬({I} & {K}) -> ¬{I} fact7: ¬{E} -> ({CQ} & {A}) fact8: {B} -> {FT} fact9: ¬{I} -> ({G} v ¬{F}) fact10: {ES} fact11: ¬{D} -> ({B} & {C}) fact12: ({A} & {B}) ; $hypothesis$ = {A} ; $proof$ = | fact12 -> hypothesis; __PROVED__ |
0.3 | ã·ãã·ã«ãLv.33äºä»¶ãçºçãã | {B} | fact1: ããããLv.3äºä»¶ãçãã fact2: ãã²åŒ±ããšããããšãèµ·ããããšããããšã¯ç¢ºãã§ãã fact3: å·å¿µæ·±ããšããããšã¯çããªããŠå調å¢å ããããšã¯èµ·ãããªã fact4: ããä»®ã«ã¿ãã¿ãLv.86äºä»¶ãèµ·ãããšããããéç¡ããšããããšã¯èµ·ããªããã©é
ããšããããšãèµ·ããããšããããšã¯çå®ã§ãªã fact5: ãæã¡é£ããšããããšãèµ·ããããšããããšã¯æ£ãã fact6: ä»®ã«ãæ©ã¿å»ãããšãçããäžæ¹ã§ãŸã¡ããŸãªLv.71äºä»¶ã¯çããªãããšããããšã¯åã§ãããšããããŽã«ããŽãLv.73äºä»¶ã¯èµ·ããªã fact7: é
ããšããããšãèµ·ãããšããããšã¯ã·ãã·ã«ãLv.33äºä»¶ã«ç¹ãã fact8: ä»®ã«ãéç¡... | fact1: {FU} fact2: {FN} fact3: (¬{L} & ¬{M}) fact4: {D} -> ¬(¬{C} & {A}) fact5: {DN} fact6: ¬({H} & ¬{I}) -> ¬{G} fact7: {A} -> {B} fact8: ¬(¬{C} & {A}) -> ¬{B} fact9: {GK} -> {AU} fact10: ¬{G} -> ({E} & {F}) fact11: ¬{L} -> ({J} & {K}) fact12: {J} -> ¬({H} & ¬{I}) fact13: {A} fact14: ¬{F} -> ({D} & {E}) fact15: {E} ->... | [
"fact7 & fact13 -> hypothesis;"
] | [
"fact7 & fact13 -> hypothesis;"
] | åãé£ããšããããšãçºçãã | {BI} | [
"fact18 -> int1: å·å¿µæ·±ããšããããšã¯èµ·ãããªã; fact20 & int1 -> int2: èŠä»ãé£ããšããããšãçºçãããããŸãã«èŠåºã ãé£ããšããããšã¯çºçãã; int2 -> int3: èŠä»ãé£ããšããããšãèµ·ãã; fact21 & int3 -> int4: ãæ©ã¿å»ãããšãçãããããããŸã¡ããŸãªLv.71äºä»¶ã¯èµ·ãããªãããšããããšã¯åœã§ãã; fact22 & int4 -> int5: ãŽã«ããŽãLv.73äºä»¶ã¯èµ·ããªã; fact19 & int5 -> int6: 黎èããšããããšãèµ·ãããæ²æããããšãèµ·ãã; int6 -> int7: 黎èããšããããšãèµ·ãã; fact... | 11 | 1 | 1 | 1 | 1 | 14 | 0 | 14 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããLv.3äºä»¶ãçãã fact2: ãã²åŒ±ããšããããšãèµ·ããããšããããšã¯ç¢ºãã§ãã fact3: å·å¿µæ·±ããšããããšã¯çããªããŠå調å¢å ããããšã¯èµ·ãããªã fact4: ããä»®ã«ã¿ãã¿ãLv.86äºä»¶ãèµ·ãããšããããéç¡ããšããããšã¯èµ·ããªããã©é
ããšããããšãèµ·ããããšããããšã¯çå®ã§ãªã fact5: ãæã¡é£ããšããããšãèµ·ããããšããããšã¯æ£ãã fact6: ä»®ã«ãæ©ã¿å»ãããšãçããäžæ¹ã§ãŸã¡ããŸãªLv.71äºä»¶ã¯çããªãããšããããšã¯åã§ãããšããããŽã«ããŽãLv.73äºä»¶ã¯èµ·ããªã fact7: é
ããšããããšãèµ·ãããšããããšã¯ã·ãã·ã«ãLv.33äºä»¶ã«ç¹ãã fa... | fact7 & fact13 -> hypothesis; __PROVED__ | $facts$ = fact1: {FU} fact2: {FN} fact3: (¬{L} & ¬{M}) fact4: {D} -> ¬(¬{C} & {A}) fact5: {DN} fact6: ¬({H} & ¬{I}) -> ¬{G} fact7: {A} -> {B} fact8: ¬(¬{C} & {A}) -> ¬{B} fact9: {GK} -> {AU} fact10: ¬{G} -> ({E} & {F}) fact11: ¬{L} -> ({J} & {K}) fact12: {J} -> ¬({H} & ¬{I}) fact13: {A} fact14: ¬{F} -> ({D} & {E}) fact... | fact7 & fact13 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸããŸãLv.8ã¯åŸ¡æ¥ãããã | {B}{a} | fact1: ããããªãããã®ã¢ã³ã¹ã¿ãŒãå°ãªããªããç·ã£ãœããªããšããã女ã£ãœã fact2: ä»®ã«ãã®ãŸããŸãLv.8ãäžå³ããšããã°åŸ¡æ¥ãããã fact3: ããã®ãŸããŸãLv.8ã¯æãããšããããšã¯æãç«ã€ fact4: ãããããã¢ã³ã¹ã¿ãŒã¯çãèŸããšããã°ãããã¯åãè£ããªããŠããŸãã«ä»èãæãããšããããšã¯èª€ã£ãŠãã fact5: ä»®ã«ã女ã£ãœããã¢ã³ã¹ã¿ãŒããããšããããã®ã·ã¡ã
ã·ãLv.17ã¯å¥³ã£ãœããŠæµããæã fact6: ãã®ãŸããŸãLv.8ã¯äžå³ã fact7: ããä»®ã«çãèŸãã¢ã³ã¹ã¿ãŒãäŒãæããªããšãããšåãè£ããªã fact8: ä»èãæããªãã¢ã³ã¹ã¿ãŒã¯é²ãæãããããã¯åŸ¡æ¥ãããã fact9... | fact1: (x): (¬{J}x & ¬{K}x) -> {H}x fact2: {A}{a} -> {B}{a} fact3: {CQ}{a} fact4: (x): {F}x -> ¬(¬{E}x & {D}x) fact5: (x): {H}x -> ({H}{d} & {I}{d}) fact6: {A}{a} fact7: (x): ({F}x & ¬{G}x) -> ¬{E}x fact8: (x): ¬{D}x -> ({C}x v {B}x) fact9: (x): {H}x -> ({F}x & ¬{G}x) fact10: {B}{ch} fact11: {A}{c} -> ({B}{b} v ¬{C}{b}... | [
"fact2 & fact6 -> hypothesis;"
] | [
"fact2 & fact6 -> hypothesis;"
] | ãã®ãŸããŸãLv.8ã¯åŸ¡æ¥ãããããªã | ¬{B}{a} | [
"fact21 -> int1: ããä»®ã«ãã®ãŸããŸãLv.8ã¯äžå³ããé²ãæããªããªãããã®ãŸããŸãLv.8ã¯åŸ¡æ¥ãããããªãããšããããšã¯ç¢ºãã§ãã;"
] | 5 | 1 | 1 | 1 | 1 | 18 | 0 | 18 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããªãããã®ã¢ã³ã¹ã¿ãŒãå°ãªããªããç·ã£ãœããªããšããã女ã£ãœã fact2: ä»®ã«ãã®ãŸããŸãLv.8ãäžå³ããšããã°åŸ¡æ¥ãããã fact3: ããã®ãŸããŸãLv.8ã¯æãããšããããšã¯æãç«ã€ fact4: ãããããã¢ã³ã¹ã¿ãŒã¯çãèŸããšããã°ãããã¯åãè£ããªããŠããŸãã«ä»èãæãããšããããšã¯èª€ã£ãŠãã fact5: ä»®ã«ã女ã£ãœããã¢ã³ã¹ã¿ãŒããããšããããã®ã·ã¡ã
ã·ãLv.17ã¯å¥³ã£ãœããŠæµããæã fact6: ãã®ãŸããŸãLv.8ã¯äžå³ã fact7: ããä»®ã«çãèŸãã¢ã³ã¹ã¿ãŒãäŒãæããªããšãããšåãè£ããªã fact8: ä»èãæããªãã¢ã³ã¹ã¿ãŒã¯é²ãæãããããã¯åŸ¡æ¥... | fact2 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): (¬{J}x & ¬{K}x) -> {H}x fact2: {A}{a} -> {B}{a} fact3: {CQ}{a} fact4: (x): {F}x -> ¬(¬{E}x & {D}x) fact5: (x): {H}x -> ({H}{d} & {I}{d}) fact6: {A}{a} fact7: (x): ({F}x & ¬{G}x) -> ¬{E}x fact8: (x): ¬{D}x -> ({C}x v {B}x) fact9: (x): {H}x -> ({F}x & ¬{G}x) fact10: {B}{ch} fact11: {A}{c} -> ({B}{b}... | fact2 & fact6 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœããœãLv.39ã¯ç«ãŠé£ã | {B}{a} | fact1: ãã®ãœããœãLv.39ã¯ã¢ã¡ãªã«ã£ãœããªã fact2: ãããäœããã®ã¢ã³ã¹ã¿ãŒãéããªããšãããããã¯ç«ãŠé£ãããã€ç¥ã
ãã fact3: ãããããã®ãŽããŽãLv.37ã¯äœ¿çšãé£ããªããå
¥ãäžããªãããšããããšã¯åœã ããšããããšã¯çå®ã ãšãããå
¥ãäžãã fact4: ããä»®ã«ãã®ãŸã«ããŸãLv.51ããã©ããããšããããã®ãœããœãLv.39ã¯ãã©ããã fact5: ããããã®ãã«ããã«Lv.63ãæž¬å®åºæ¥ããšããããšã¯ãªããšããããã©ããã fact6: ãããšããã¢ã³ã¹ã¿ãŒãéããªããªãã°ããã¯ãã©ãããããã€ç¥ã
ãã fact7: äœããã®ã¢ã³ã¹ã¿ãŒã¯ãã©ããããšããã°ãããã¯ç«ãŠé£ããšããããšã¯ãªãããš... | fact1: ¬{EG}{a} fact2: (x): ¬{D}x -> ({B}x & {C}x) fact3: ¬(¬{M}{g} & ¬{K}{g}) -> {K}{g} fact4: {A}{b} -> {A}{a} fact5: ¬{EL}{hd} -> {A}{hd} fact6: (x): ¬{D}x -> ({A}x & {C}x) fact7: (x): {A}x -> ¬{B}x fact8: ¬{E}{d} -> ¬{D}{c} fact9: ¬(¬{J}{g} v {I}{g}) -> ¬{H}{g} fact10: {G}{f} -> (¬{E}{e} & {F}{e}) fact11: ¬{A}{a} f... | [
"fact14 & fact11 -> hypothesis;"
] | [
"fact14 & fact11 -> hypothesis;"
] | ãã®ãœããœãLv.39ã¯ç«ãŠé£ããšããããšã¯ãªã | ¬{B}{a} | [
"fact28 -> int1: ãã®ãœããœãLv.39ããã©ããããšããããã®ãœããœãLv.39ã¯ç«ãŠé£ããªã; fact23 -> int2: ä»®ã«ããã®ãŸã«ããŸãLv.51ã¯éããªãããšããããšã¯ç¢ºãã§ãããªããã©ããããç¥ã
ãã;"
] | 15 | 1 | 1 | 1 | 1 | 15 | 0 | 15 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãœããœãLv.39ã¯ã¢ã¡ãªã«ã£ãœããªã fact2: ãããäœããã®ã¢ã³ã¹ã¿ãŒãéããªããšãããããã¯ç«ãŠé£ãããã€ç¥ã
ãã fact3: ãããããã®ãŽããŽãLv.37ã¯äœ¿çšãé£ããªããå
¥ãäžããªãããšããããšã¯åœã ããšããããšã¯çå®ã ãšãããå
¥ãäžãã fact4: ããä»®ã«ãã®ãŸã«ããŸãLv.51ããã©ããããšããããã®ãœããœãLv.39ã¯ãã©ããã fact5: ããããã®ãã«ããã«Lv.63ãæž¬å®åºæ¥ããšããããšã¯ãªããšããããã©ããã fact6: ãããšããã¢ã³ã¹ã¿ãŒãéããªããªãã°ããã¯ãã©ãããããã€ç¥ã
ãã fact7: äœããã®ã¢ã³ã¹ã¿ãŒã¯ãã©ããããšããã°ãããã¯ç«ãŠé£ã... | fact14 & fact11 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{EG}{a} fact2: (x): ¬{D}x -> ({B}x & {C}x) fact3: ¬(¬{M}{g} & ¬{K}{g}) -> {K}{g} fact4: {A}{b} -> {A}{a} fact5: ¬{EL}{hd} -> {A}{hd} fact6: (x): ¬{D}x -> ({A}x & {C}x) fact7: (x): {A}x -> ¬{B}x fact8: ¬{E}{d} -> ¬{D}{c} fact9: ¬(¬{J}{g} v {I}{g}) -> ¬{H}{g} fact10: {G}{f} -> (¬{E}{e} & {F}{e}) fact11:... | fact14 & fact11 -> hypothesis; __PROVED__ |
0.3 | ã銳ãåãããã©é·ãããããªããšããã¢ã³ã¹ã¿ãŒã¯ãªãããšããããšã¯æãç«ããªã | ¬((x): ¬({AA}x & ¬{AB}x)) | fact1: ã倧人ã£ãœãã¢ã³ã¹ã¿ãŒã§ããããŸãã«å®è¡ããã¢ã³ã¹ã¿ãŒã¯ãªãããšããããšã¯æ¬åœã§ãã fact2: ããã¯æ¥èŸããå±ãªããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ã¡ãŒã«ããããããããã¯åç¯ããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact4: ãããã¯éгãåããããã©é·ãããããªããšããã¢ã³ã¹ã¿ãŒã¯ãªãããšããããšã¯çå®ã§ãã fact5: ããã¯éгãåããããã®äžé·ãããããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact6: ãããé·ã£ããããããã®äžããã¯åé¢ãæããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact7: æããé£ãäžæ¹ã§å¿å®ããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact8: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯æ°æ¥ãããããªãã°ãããã¯å±
èŸãäžæ¹ã§ç©ãããªãã... | fact1: (x): ¬({IC}x & {IH}x) fact2: (x): ¬({EU}x & ¬{FU}x) fact3: (x): ¬({P}x & ¬{BJ}x) fact4: (x): ¬({AA}x & ¬{AB}x) fact5: (x): ¬({AA}x & {AB}x) fact6: (x): ¬({GB}x & {CA}x) fact7: (x): ¬({IK}x & ¬{DS}x) fact8: (x): {A}x -> ¬({HK}x & ¬{JJ}x) | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | ããã¯å±
èŸããŠç©ãããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã | (x): ¬({HK}x & ¬{JJ}x) | [
"fact9 -> int1: ä»®ã«ãã®ã¿ã«ãã¿ã«ãLv.40ã¯æ°æ¥ãããããªããããã®ã¿ã«ãã¿ã«ãLv.40ã¯å±
èŸããã©ããã¯ç©ãããªãããšããããšã¯ééãã ããšããããšã¯ééãã§ãªã;"
] | 6 | 1 | 1 | 0 | 0 | 7 | 0 | 7 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ã倧人ã£ãœãã¢ã³ã¹ã¿ãŒã§ããããŸãã«å®è¡ããã¢ã³ã¹ã¿ãŒã¯ãªãããšããããšã¯æ¬åœã§ãã fact2: ããã¯æ¥èŸããå±ãªããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ã¡ãŒã«ããããããããã¯åç¯ããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact4: ãããã¯éгãåããããã©é·ãããããªããšããã¢ã³ã¹ã¿ãŒã¯ãªãããšããããšã¯çå®ã§ãã fact5: ããã¯éгãåããããã®äžé·ãããããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact6: ãããé·ã£ããããããã®äžããã¯åé¢ãæããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact7: æããé£ãäžæ¹ã§å¿å®ããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact8: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯æ°æ¥ãããããªãã°ãããã¯å±
èŸ... | fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬({IC}x & {IH}x) fact2: (x): ¬({EU}x & ¬{FU}x) fact3: (x): ¬({P}x & ¬{BJ}x) fact4: (x): ¬({AA}x & ¬{AB}x) fact5: (x): ¬({AA}x & {AB}x) fact6: (x): ¬({GB}x & {CA}x) fact7: (x): ¬({IK}x & ¬{DS}x) fact8: (x): {A}x -> ¬({HK}x & ¬{JJ}x) ; $hypothesis$ = ¬((x): ¬({AA}x & ¬{AB}x)) ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã¡ãããLv.68ã¯è¯ãäžæ¹ã§åŒãåºãæããªã | ({AA}{a} & ¬{AB}{a}) | fact1: ãããã®ãŸããŸãLv.79ã¯æ¯éãããªããããã®ãŸããŸãLv.79ã¯çèšããªãããããè¶ããããããšããããšã¯æãç«ããªãããšããããšã¯æ£ãã fact2: æãé£ãã¢ã³ã¹ã¿ãŒã¯ããããããªã fact3: ããã®ãã¡ãããLv.68ã¯åŒãåºãæããã©åžåããæããªãããšããããšã¯åœã fact4: ä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯çèšããªãäžæ¹ã§è¶ããããããšããããšã¯äºå®ãšç°ãªããšãããçèšãã fact5: ããããããªãã¢ã³ã¹ã¿ãŒã¯åãé£ãããããèšã€ fact6: ããä»®ã«ããã®ãŸããŸãLv.79ã¯æ°ããè¶ããããããšããããšã¯åœã§ãããšããããã®ãŽã«ããŽã«ã
Lv.42ã¯æ°ããšããããšã¯ãªã fact7: ããã®ãã¡ã... | fact1: {H}{c} -> ¬(¬{E}{c} & {G}{c}) fact2: (x): {D}x -> ¬{C}x fact3: ¬({AB}{a} & ¬{EB}{a}) fact4: (x): ¬(¬{E}x & {G}x) -> {E}x fact5: (x): ¬{C}x -> ({A}x & {B}x) fact6: ¬({F}{c} & {G}{c}) -> ¬{F}{b} fact7: ¬({HS}{a} & ¬{AB}{a}) fact8: (Ex): ¬{J}x fact9: ¬({CI}{eq} & ¬{AA}{eq}) fact10: ¬{F}{b} -> ({D}{b} & {E}{b}) fact... | [
"fact14 -> hypothesis;"
] | [
"fact14 -> hypothesis;"
] | ãã®ãã¡ãããLv.68ã¯è¯ãäžæ¹ã§åŒãåºãæããªã | ({AA}{a} & ¬{AB}{a}) | [
"fact24 -> int1: ããä»®ã«ããã®ãŽã«ããŽã«ã
Lv.42ã¯ããããããªãããšããããšã¯ç¢ºããªãã°åãé£ããããã¯èšã€; fact23 -> int2: ããããã®ãŽã«ããŽã«ã
Lv.42ãæãé£ããšããã°ããããããªã;"
] | 8 | 1 | 1 | 0 | 0 | 20 | 0 | 20 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ãŸããŸãLv.79ã¯æ¯éãããªããããã®ãŸããŸãLv.79ã¯çèšããªãããããè¶ããããããšããããšã¯æãç«ããªãããšããããšã¯æ£ãã fact2: æãé£ãã¢ã³ã¹ã¿ãŒã¯ããããããªã fact3: ããã®ãã¡ãããLv.68ã¯åŒãåºãæããã©åžåããæããªãããšããããšã¯åœã fact4: ä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯çèšããªãäžæ¹ã§è¶ããããããšããããšã¯äºå®ãšç°ãªããšãããçèšãã fact5: ããããããªãã¢ã³ã¹ã¿ãŒã¯åãé£ãããããèšã€ fact6: ããä»®ã«ããã®ãŸããŸãLv.79ã¯æ°ããè¶ããããããšããããšã¯åœã§ãããšããããã®ãŽã«ããŽã«ã
Lv.42ã¯æ°ããšããããšã¯ãªã fac... | fact14 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {H}{c} -> ¬(¬{E}{c} & {G}{c}) fact2: (x): {D}x -> ¬{C}x fact3: ¬({AB}{a} & ¬{EB}{a}) fact4: (x): ¬(¬{E}x & {G}x) -> {E}x fact5: (x): ¬{C}x -> ({A}x & {B}x) fact6: ¬({F}{c} & {G}{c}) -> ¬{F}{b} fact7: ¬({HS}{a} & ¬{AB}{a}) fact8: (Ex): ¬{J}x fact9: ¬({CI}{eq} & ¬{AA}{eq}) fact10: ¬{F}{b} -> ({D}{b} & {E... | fact14 -> hypothesis; __DISPROVED__ |
0.3 | ã·ãã·ã«Lv.44äºä»¶ãçããäžæ¹ã§å¿ããªããšããããšã¯çºçããªã | ({AA} & ¬{AB}) | fact1: ããä»®ã«ç¢ºèªãæããšããããšãèµ·ãããšããã°ãæ¥ããããšããããšãèµ·ãããèŠæããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ããä»®ã«å¥¥åºãããšããããšã¯çããªããšããã°ã·ãã·ã«Lv.44äºä»¶ãçºçããäžæ¹ã§å¿ããªããšããããšã¯çºçããªã fact3: ãã·ãã·ã«Lv.44äºä»¶ããã³å¿ããªããšããããšäž¡æ¹ãçºçããããšããããšã¯åã§ãã fact4: 奥åºãããšããããšãèµ·ãã fact5: 奥åºãããšããããšãçãããšããããã·ãã·ã«Lv.44äºä»¶ãèµ·ããããããå¿ããªããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã fact6: ããèžãæããšããããšãçºçããããããã¬ãããããšã¯... | fact1: {IF} -> ¬({CR} & ¬{BL}) fact2: ¬{A} -> ({AA} & ¬{AB}) fact3: ¬({AA} & {AB}) fact4: {A} fact5: {A} -> ¬({AA} & ¬{AB}) fact6: ¬({HQ} & ¬{FH}) fact7: {A} -> ¬({AA} & {AB}) | [
"fact5 & fact4 -> hypothesis;"
] | [
"fact5 & fact4 -> hypothesis;"
] | ã·ãã·ã«Lv.44äºä»¶ãçããäžæ¹ã§å¿ããªããšããããšã¯çºçããªã | ({AA} & ¬{AB}) | [] | 6 | 1 | 1 | 1 | 1 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ç¢ºèªãæããšããããšãèµ·ãããšããã°ãæ¥ããããšããããšãèµ·ãããèŠæããšããããšã¯çºçããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ããä»®ã«å¥¥åºãããšããããšã¯çããªããšããã°ã·ãã·ã«Lv.44äºä»¶ãçºçããäžæ¹ã§å¿ããªããšããããšã¯çºçããªã fact3: ãã·ãã·ã«Lv.44äºä»¶ããã³å¿ããªããšããããšäž¡æ¹ãçºçããããšããããšã¯åã§ãã fact4: 奥åºãããšããããšãèµ·ãã fact5: 奥åºãããšããããšãçãããšããããã·ãã·ã«Lv.44äºä»¶ãèµ·ããããããå¿ããªããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã fact6: ããèžãæããšããããšãçºçããã... | fact5 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {IF} -> ¬({CR} & ¬{BL}) fact2: ¬{A} -> ({AA} & ¬{AB}) fact3: ¬({AA} & {AB}) fact4: {A} fact5: {A} -> ¬({AA} & ¬{AB}) fact6: ¬({HQ} & ¬{FH}) fact7: {A} -> ¬({AA} & {AB}) ; $hypothesis$ = ({AA} & ¬{AB}) ; $proof$ = | fact5 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã«ãŸã¡ãLv.54ã¯ééç¡ã | {A}{a} | fact1: æœããªãã¢ã³ã¹ã¿ãŒã¯çãäžžããå ããŠå£æ±ã fact2: ããä»®ã«ãã®ãŸã«ãŸã¡ãLv.54ãè£
ããªããªããã®ã·ãã·ã¡ã
Lv.49ã¯åãããã€ééç¡ã fact3: ãã®ãŸã«ãŸã¡ãLv.54ã¯ã©ãããŠã欲ãã fact4: ãã®ãŸã«ã
ãŸã«ãLv.44ã¯ã©ãããŠè¯ãããã©å¯åããªã fact5: ä»®ã«ãã®ãœã®ãœã¡ã
Lv.9ãééç¡ããåãã°ãã®ãŸã«ãŸã¡ãLv.54ã¯ééç¡ããªã fact6: ãã®ãŽãªãŽãLv.21ã¯ééç¡ã fact7: ãããããã®ãœã®ãœã¡ã
Lv.9ã¯æåãããããã¯è£
ããªãããšããããšã¯æãç«ããªããšãããšããã®ãŸã«ãŸã¡ãLv.54ã¯è£
ããªãããšããããšã¯æ£ãã fact8: ãã®ãŸããŸã¡ãLv.12... | fact1: (x): ¬{G}x -> ({D}x & {F}x) fact2: ¬{C}{a} -> ({B}{ej} & {A}{ej}) fact3: {HE}{a} fact4: ({K}{c} & ¬{J}{c}) fact5: ({A}{b} & {B}{b}) -> ¬{A}{a} fact6: {A}{jh} fact7: ¬({E}{b} v ¬{C}{b}) -> ¬{C}{a} fact8: {A}{ek} fact9: {A}{a} fact10: {D}{c} -> ¬({E}{b} v ¬{C}{b}) fact11: (x): ({K}x & ¬{J}x) -> {I}x fact12: (x): {... | [
"fact9 -> hypothesis;"
] | [
"fact9 -> hypothesis;"
] | ãã®ãŸã«ãŸã¡ãLv.54ã¯ééç¡ããªã | ¬{A}{a} | [] | 5 | 1 | 1 | 0 | 0 | 11 | 0 | 11 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: æœããªãã¢ã³ã¹ã¿ãŒã¯çãäžžããå ããŠå£æ±ã fact2: ããä»®ã«ãã®ãŸã«ãŸã¡ãLv.54ãè£
ããªããªããã®ã·ãã·ã¡ã
Lv.49ã¯åãããã€ééç¡ã fact3: ãã®ãŸã«ãŸã¡ãLv.54ã¯ã©ãããŠã欲ãã fact4: ãã®ãŸã«ã
ãŸã«ãLv.44ã¯ã©ãããŠè¯ãããã©å¯åããªã fact5: ä»®ã«ãã®ãœã®ãœã¡ã
Lv.9ãééç¡ããåãã°ãã®ãŸã«ãŸã¡ãLv.54ã¯ééç¡ããªã fact6: ãã®ãŽãªãŽãLv.21ã¯ééç¡ã fact7: ãããããã®ãœã®ãœã¡ã
Lv.9ã¯æåãããããã¯è£
ããªãããšããããšã¯æãç«ããªããšãããšããã®ãŸã«ãŸã¡ãLv.54ã¯è£
ããªãããšããããšã¯æ£ãã fact8: ãã®... | fact9 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{G}x -> ({D}x & {F}x) fact2: ¬{C}{a} -> ({B}{ej} & {A}{ej}) fact3: {HE}{a} fact4: ({K}{c} & ¬{J}{c}) fact5: ({A}{b} & {B}{b}) -> ¬{A}{a} fact6: {A}{jh} fact7: ¬({E}{b} v ¬{C}{b}) -> ¬{C}{a} fact8: {A}{ek} fact9: {A}{a} fact10: {D}{c} -> ¬({E}{b} v ¬{C}{b}) fact11: (x): ({K}x & ¬{J}x) -> {I}x fact... | fact9 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸãªãŸã«ãLv.67ã¯èŠæ¥µãé£ã | {B}{a} | fact1: 仿ç¡ãã¢ã³ã¹ã¿ãŒã¯ä»ãé£ããªã fact2: ãããã®ãŽã«ããŽã¡ãLv.59ãèµ°ãåºãªããšãããšãã®ãŽã«ããŽã¡ãLv.59ã¯ä»ãé£ããèŠæ¥µãé£ããªã fact3: ãããšããã¢ã³ã¹ã¿ãŒã¯ä»ãé£ããªããšããã°ãããã¯èµ°ãåºããèŠæ¥µãé£ãããšããããšã¯æãç«ããªã fact4: ãã®ãŸãªãŸã«ãLv.67ã¯ä»ãé£ã fact5: ããä»®ã«ãã®ãŸãªãŸã«ãLv.67ãä»ãé£ããªãã°ãã®ãŸãªãŸã«ãLv.67ã¯èŠæ¥µãé£ã fact6: ããããã®ã¿ã¡ãã¿ãLv.69ãèŠåŒµããªããªãã°ãã®ã¿ã¡ãã¿ãLv.69ã¯ä»æç¡ãããããé§ãåºã | fact1: (x): {D}x -> ¬{A}x fact2: ¬{C}{et} -> ({A}{et} & ¬{B}{et}) fact3: (x): ¬{A}x -> ¬({C}x & {B}x) fact4: {A}{a} fact5: {A}{a} -> {B}{a} fact6: ¬{F}{b} -> ({D}{b} & {E}{b}) | [
"fact5 & fact4 -> hypothesis;"
] | [
"fact5 & fact4 -> hypothesis;"
] | ãã®ãŸãªãŸã«ãLv.67ã¯èŠæ¥µãé£ããªã | ¬{B}{a} | [
"fact9 -> int1: ããããã®ã¿ã¡ãã¿ãLv.69ã¯ä»ãé£ããªããšãããšãèµ°ãåºãããŸãããã¯èŠæ¥µãé£ãããšããããšã¯æãç«ããªã; fact7 -> int2: ãã®ã¿ã¡ãã¿ãLv.69ã仿ç¡ããšããã°ããã¯ä»ãé£ããšããããšã¯ãªã;"
] | 6 | 1 | 1 | 1 | 1 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: 仿ç¡ãã¢ã³ã¹ã¿ãŒã¯ä»ãé£ããªã fact2: ãããã®ãŽã«ããŽã¡ãLv.59ãèµ°ãåºãªããšãããšãã®ãŽã«ããŽã¡ãLv.59ã¯ä»ãé£ããèŠæ¥µãé£ããªã fact3: ãããšããã¢ã³ã¹ã¿ãŒã¯ä»ãé£ããªããšããã°ãããã¯èµ°ãåºããèŠæ¥µãé£ãããšããããšã¯æãç«ããªã fact4: ãã®ãŸãªãŸã«ãLv.67ã¯ä»ãé£ã fact5: ããä»®ã«ãã®ãŸãªãŸã«ãLv.67ãä»ãé£ããªãã°ãã®ãŸãªãŸã«ãLv.67ã¯èŠæ¥µãé£ã fact6: ããããã®ã¿ã¡ãã¿ãLv.69ãèŠåŒµããªããªãã°ãã®ã¿ã¡ãã¿ãLv.69ã¯ä»æç¡ãããããé§ãåºã ; $hypothesis$ = ãã®ãŸãªãŸã«ãLv.67ã¯èŠæ¥µãé£ã ; $... | fact5 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {D}x -> ¬{A}x fact2: ¬{C}{et} -> ({A}{et} & ¬{B}{et}) fact3: (x): ¬{A}x -> ¬({C}x & {B}x) fact4: {A}{a} fact5: {A}{a} -> {B}{a} fact6: ¬{F}{b} -> ({D}{b} & {E}{b}) ; $hypothesis$ = {B}{a} ; $proof$ = | fact5 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãã·ãLv.46ã¯èŠå¢ç¡ããªããŠããã«ããå
Œããªã | (¬{AA}{a} & ¬{AB}{a}) | fact1: ããé¡åšåãæãã¢ã³ã¹ã¿ãŒãæã¿èŸŒã¿æããªããšãããšããã¯èŠå¢ç¡ããšããããšã¯ãªã fact2: ãããããã¢ã³ã¹ã¿ãŒã¯çŸãããªããªãã°ãããã¯åæ ããªããå ããŠããã¯é¡åšåãæããªãããšããããšã¯èª€ãã§ãã fact3: ãã®ã·ãã·ãLv.46ã¯é¡åšåãæããšããããšã¯ãªã fact4: ãããã®ã·ãã·ãLv.46ã¯é¡åšåãæããªããªãããã®ã·ãã·ãLv.46ã¯èŠå¢ç¡ããšããããšã¯ãªããŠãã€ããã¯ããå
Œããªãããšããããšã¯æãç«ããªã fact5: ããã®ã·ãã·ãLv.46ã¯å€åãæãããããç²åŽãæããªãããšããããšã¯åã fact6: ãã®ã·ãã·ãLv.46ã¯éããšããããšã¯ãªããšãããšããã®ã·ãã·ãLv.46ã¯... | fact1: (x): ({A}x & ¬{B}x) -> ¬{AA}x fact2: (x): ¬{GD}x -> ¬(¬{JB}x & ¬{A}x) fact3: ¬{A}{a} fact4: ¬{A}{a} -> ¬(¬{AA}{a} & ¬{AB}{a}) fact5: ¬({BH}{a} & ¬{DF}{a}) fact6: ¬{HK}{a} -> ¬(¬{AO}{a} & ¬{A}{a}) fact7: ¬{HK}{a} -> ¬(¬{FE}{a} & ¬{JG}{a}) fact8: {E}{c} -> {C}{a} fact9: {C}{a} -> ({A}{a} & ¬{B}{a}) fact10: ¬(¬{DS}... | [
"fact4 & fact3 -> hypothesis;"
] | [
"fact4 & fact3 -> hypothesis;"
] | ããããã®ãŽã«ããŽãLv.40ã¯çŸãããªããªããããã¯åæ ãããšããããšã¯ãªããããã«é¡åšåãæããªãããšããããšã¯æãç«ããªã | ¬{GD}{jg} -> ¬(¬{JB}{jg} & ¬{A}{jg}) | [
"fact15 -> hypothesis;"
] | 1 | 1 | 1 | 1 | 1 | 12 | 0 | 12 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ããé¡åšåãæãã¢ã³ã¹ã¿ãŒãæã¿èŸŒã¿æããªããšãããšããã¯èŠå¢ç¡ããšããããšã¯ãªã fact2: ãããããã¢ã³ã¹ã¿ãŒã¯çŸãããªããªãã°ãããã¯åæ ããªããå ããŠããã¯é¡åšåãæããªãããšããããšã¯èª€ãã§ãã fact3: ãã®ã·ãã·ãLv.46ã¯é¡åšåãæããšããããšã¯ãªã fact4: ãããã®ã·ãã·ãLv.46ã¯é¡åšåãæããªããªãããã®ã·ãã·ãLv.46ã¯èŠå¢ç¡ããšããããšã¯ãªããŠãã€ããã¯ããå
Œããªãããšããããšã¯æãç«ããªã fact5: ããã®ã·ãã·ãLv.46ã¯å€åãæãããããç²åŽãæããªãããšããããšã¯åã fact6: ãã®ã·ãã·ãLv.46ã¯éããšããããšã¯ãªããšãããšããã®... | fact4 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ({A}x & ¬{B}x) -> ¬{AA}x fact2: (x): ¬{GD}x -> ¬(¬{JB}x & ¬{A}x) fact3: ¬{A}{a} fact4: ¬{A}{a} -> ¬(¬{AA}{a} & ¬{AB}{a}) fact5: ¬({BH}{a} & ¬{DF}{a}) fact6: ¬{HK}{a} -> ¬(¬{AO}{a} & ¬{A}{a}) fact7: ¬{HK}{a} -> ¬(¬{FE}{a} & ¬{JG}{a}) fact8: {E}{c} -> {C}{a} fact9: {C}{a} -> ({A}{a} & ¬{B}{a}) fact1... | fact4 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœããœãLv.86ã¯ç¡¬åããªã | ¬{A}{a} | fact1: èŠããªãã¢ã³ã¹ã¿ãŒã¯ç¡¬åããªããæ§ãæããªã fact2: ããã®ã·ãã·ãLv.48ã¯ç¡¬åããããšããããšã¯äºå®ã§ãã fact3: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŸæããããŸãã«åŒ±ã
ããããšããããšã¯åãªãèŠããšããããšã¯ãªã fact4: ãã®ãœããœãLv.86ã¯ç¡¬åãã | fact1: (x): ¬{C}x -> (¬{A}x & ¬{B}x) fact2: {A}{da} fact3: (x): ¬({E}x & {D}x) -> ¬{C}x fact4: {A}{a} | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.83ã¯ç¡¬åãã | {A}{et} | [
"fact5 -> int1: ããããã®ãœããœãLv.86ã¯åŸæããŠããã«ããã¯åŒ±ã
ããããšããããšã¯æãç«ããªããšããã°ãã®ãœããœãLv.86ã¯èŠããªã;"
] | 10 | 1 | 1 | 0 | 0 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: èŠããªãã¢ã³ã¹ã¿ãŒã¯ç¡¬åããªããæ§ãæããªã fact2: ããã®ã·ãã·ãLv.48ã¯ç¡¬åããããšããããšã¯äºå®ã§ãã fact3: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŸæããããŸãã«åŒ±ã
ããããšããããšã¯åãªãèŠããšããããšã¯ãªã fact4: ãã®ãœããœãLv.86ã¯ç¡¬åãã ; $hypothesis$ = ãã®ãœããœãLv.86ã¯ç¡¬åããªã ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{C}x -> (¬{A}x & ¬{B}x) fact2: {A}{da} fact3: (x): ¬({E}x & {D}x) -> ¬{C}x fact4: {A}{a} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.81ã¯æããšããããšã¯ãªã | ¬{A}{a} | fact1: æããªãã¢ã³ã¹ã¿ãŒã¯ããçããªãäžæ¹ã§çºçãé£ã fact2: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãæ ããªããªãæããããã«å¿ãã£ãœã fact3: ãã®ãŽããŽãLv.81ã¯å¿ãã£ãœã | fact1: (x): ¬{A}x -> (¬{S}x & {CD}x) fact2: (x): ¬{C}x -> ({A}x & {B}x) fact3: {B}{a} | [] | [] | ããã®ãœã«ã
ãœãLv.57ã¯ããçããšããããšã¯ãªãããã©ããã¯çºçãé£ãããšããããšã¯åã§ãªã | (¬{S}{hm} & {CD}{hm}) | [
"fact4 -> int1: ä»®ã«ãã®ãœã«ã
ãœãLv.57ãæããªããšãããããã¯ããçããªããŠãã€ããã¯çºçãé£ã;"
] | 4 | 1 | 1 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: æããªãã¢ã³ã¹ã¿ãŒã¯ããçããªãäžæ¹ã§çºçãé£ã fact2: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãæ ããªããªãæããããã«å¿ãã£ãœã fact3: ãã®ãŽããŽãLv.81ã¯å¿ãã£ãœã ; $hypothesis$ = ãã®ãŽããŽãLv.81ã¯æããšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> (¬{S}x & {CD}x) fact2: (x): ¬{C}x -> ({A}x & {B}x) fact3: {B}{a} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã¡ããŽã¡ã
Lv.90ã¯å
¥æãæãããã®äžèŠèŸŒã | ({A}{a} & {B}{a}) | fact1: ãã®ãŽã¡ããŽã¡ã
Lv.90ã¯èŠèŸŒã fact2: ããã®ãŽã¡ããŽã¡ã
Lv.90ã¯å
¥æãæãããšããããšã¯èª€ã£ãŠããªã fact3: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã幌ããªããªããšããã°ç»å±±å®¶ããããªã fact4: ãã®ãŽã¡ããŽã¡ã
Lv.90ã¯å°€ããããããã€æã¿èŸŒã¿æã fact5: ãã®ã¿ãã¿ã®Lv.31ããã©ããšããããã®ãŽã¡ããŽã¡ã
Lv.90ã¯å
¥æãæããªãããããèŠèŸŒã fact6: ããããã¢ã³ã¹ã¿ãŒã¯ãããã fact7: ãã®ãŽããŽãLv.45ã¯èŠèŸŒã fact8: ãã®ãŽã¡ããŽã¡ã
Lv.90ãåããããããã®äžå®è³ªåãã fact9: ãã®ãŽã«ã
ãŽã«ãLv.49ã¯èŠèŸŒã fact10: ãããã®ãŸããŸã... | fact1: {B}{a} fact2: {A}{a} fact3: (x): ¬{F}x -> ¬{E}x fact4: ({AN}{a} & {BR}{a}) fact5: {C}{b} -> (¬{A}{a} & {B}{a}) fact6: (x): {H}x fact7: {B}{eo} fact8: ({DI}{a} & {HD}{a}) fact9: {B}{ao} fact10: ¬{E}{c} -> (¬{D}{b} & ¬{C}{b}) fact11: (¬{D}{b} & ¬{C}{b}) -> ¬{C}{a} fact12: (x): {H}x -> (¬{G}x & ¬{F}x) fact13: {B}{g... | [
"fact2 & fact1 -> hypothesis;"
] | [
"fact2 & fact1 -> hypothesis;"
] | ãã®ãœã«ã
ãœãLv.66ã¯å
¥æãæã | {A}{cm} | [
"fact15 -> int1: ãããã®ã¿ãã¿ã®Lv.31ãæãè¿ããšããããšã¯ãªãããã©ãããç»å±±å®¶ããããšããã°ããã¯ãã©ã;"
] | 6 | 1 | 1 | 1 | 1 | 12 | 0 | 12 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽã¡ããŽã¡ã
Lv.90ã¯èŠèŸŒã fact2: ããã®ãŽã¡ããŽã¡ã
Lv.90ã¯å
¥æãæãããšããããšã¯èª€ã£ãŠããªã fact3: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã幌ããªããªããšããã°ç»å±±å®¶ããããªã fact4: ãã®ãŽã¡ããŽã¡ã
Lv.90ã¯å°€ããããããã€æã¿èŸŒã¿æã fact5: ãã®ã¿ãã¿ã®Lv.31ããã©ããšããããã®ãŽã¡ããŽã¡ã
Lv.90ã¯å
¥æãæããªãããããèŠèŸŒã fact6: ããããã¢ã³ã¹ã¿ãŒã¯ãããã fact7: ãã®ãŽããŽãLv.45ã¯èŠèŸŒã fact8: ãã®ãŽã¡ããŽã¡ã
Lv.90ãåããããããã®äžå®è³ªåãã fact9: ãã®ãŽã«ã
ãŽã«ãLv.49ã¯èŠèŸŒã fact10... | fact2 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} fact2: {A}{a} fact3: (x): ¬{F}x -> ¬{E}x fact4: ({AN}{a} & {BR}{a}) fact5: {C}{b} -> (¬{A}{a} & {B}{a}) fact6: (x): {H}x fact7: {B}{eo} fact8: ({DI}{a} & {HD}{a}) fact9: {B}{ao} fact10: ¬{E}{c} -> (¬{D}{b} & ¬{C}{b}) fact11: (¬{D}{b} & ¬{C}{b}) -> ¬{C}{a} fact12: (x): {H}x -> (¬{G}x & ¬{F}x) fac... | fact2 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããããã®ãŸã¡ããŸã«ã
Lv.57ãç¶ãæãããããç§åŠãããšããããšã¯ãªããšããã°ãã®ãŸã¡ããŸã«ã
Lv.57ã¯çŽãããããªãããšããããšã¯æãç«ããªã | ¬(({AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa}) | fact1: ä»®ã«ãã®ãŸã¡ããŸã«ã
Lv.57ã¯ç¶ãæãããããç§åŠããªããªãçŽãããã fact2: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãç¶ãæããããã«ãããç§åŠãããšãããçŽãããããªã fact3: ããç¶ãæãã¢ã³ã¹ã¿ãŒãç§åŠããªããšãããããã¯çŽãããã fact4: åãåºãæãã¢ã³ã¹ã¿ãŒã§ãã£ãŠåŠçãåãããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯èšãèŸããªã fact5: ãããçãã¢ã³ã¹ã¿ãŒã¯åçºãæããªããªã瞺ãåããªã fact6: ä»®ã«ãã®ãŸã¡ããŸã«ã
Lv.57ã¯ç¶ãæããç§åŠãããšããã°ããã¯çŽãããããªã fact7: ä»®ã«çŠãŸããã¢ã³ã¹ã¿ãŒãåžå¹ããªããªãã°æãããªã | fact1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa} fact2: (x): ({AA}x & {AB}x) -> ¬{B}x fact3: (x): ({AA}x & ¬{AB}x) -> {B}x fact4: (x): ({IK}x & ¬{C}x) -> ¬{FK}x fact5: (x): ({GK}x & ¬{DI}x) -> ¬{DM}x fact6: ({AA}{aa} & {AB}{aa}) -> ¬{B}{aa} fact7: (x): ({EC}x & ¬{BA}x) -> ¬{FL}x | [] | [] | null | null | [] | null | 1 | 1 | null | null | 7 | 0 | 7 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãã®ãŸã¡ããŸã«ã
Lv.57ã¯ç¶ãæãããããç§åŠããªããªãçŽãããã fact2: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãç¶ãæããããã«ãããç§åŠãããšãããçŽãããããªã fact3: ããç¶ãæãã¢ã³ã¹ã¿ãŒãç§åŠããªããšãããããã¯çŽãããã fact4: åãåºãæãã¢ã³ã¹ã¿ãŒã§ãã£ãŠåŠçãåãããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯èšãèŸããªã fact5: ãããçãã¢ã³ã¹ã¿ãŒã¯åçºãæããªããªã瞺ãåããªã fact6: ä»®ã«ãã®ãŸã¡ããŸã«ã
Lv.57ã¯ç¶ãæããç§åŠãããšããã°ããã¯çŽãããããªã fact7: ä»®ã«çŠãŸããã¢ã³ã¹ã¿ãŒãåžå¹ããªããªãã°æãããªã ; $hypothesis$ = ããã... | __UNKNOWN__ | $facts$ = fact1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa} fact2: (x): ({AA}x & {AB}x) -> ¬{B}x fact3: (x): ({AA}x & ¬{AB}x) -> {B}x fact4: (x): ({IK}x & ¬{C}x) -> ¬{FK}x fact5: (x): ({GK}x & ¬{DI}x) -> ¬{DM}x fact6: ({AA}{aa} & {AB}{aa}) -> ¬{B}{aa} fact7: (x): ({EC}x & ¬{BA}x) -> ¬{FL}x ; $hypothesis$ = ¬(({AA}{aa} & ¬{AB}{a... | __UNKNOWN__ |
0.3 | ããã¯ãããããªããååŸãæããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã | (x): ¬(¬{AA}x & ¬{AB}x) | fact1: ããã¯ãããããªããååŸãæããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã | fact1: (x): ¬(¬{AA}x & ¬{AB}x) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããã¯ãããããªããååŸãæããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã ; $hypothesis$ = ããã¯ãããããªããååŸãæããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬(¬{AA}x & ¬{AB}x) ; $hypothesis$ = (x): ¬(¬{AA}x & ¬{AB}x) ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœã«ãœãLv.12ã¯æ ãããªã | ¬{B}{a} | fact1: ããä»®ã«ãã®ãœã«ã
ãœã¡ã
Lv.83ã现ããšããã°ãã®ãŸãªãŸãLv.55ã¯æšãŠé£ã fact2: ãããã®ãŸãªãŸãLv.55ãç Žãé£ããªããšãããšãã®ããããLv.83ã¯ç§ããããªãããããã¯ç²ãæãããŸãã¯äž¡æ¹ãšãã§ãã fact3: ç§ããããªãããããã¯ç²ãæãããŸãã¯äž¡æ¹ã§ããã¢ã³ã¹ã¿ãŒã¯ç²ãæã fact4: ä»®ã«ãã®ãœã«ãœãLv.12ãæ ãããªããšããã°çްã fact5: ãã®ãœã«ã
ãœã¡ã
Lv.83ãæ€æ°å°åããªããªãããã¯çްãããããã¯ããã¯å€«å©Šããã fact6: ãã®ãœã«ãœãLv.12ã¯äœæäœæãããªããšãããšãããã¯æ ãããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact7: ããã®ãŸãªãŸãLv.5... | fact1: {L}{e} -> {J}{c} fact2: ¬{F}{c} -> (¬{E}{b} v {D}{b}) fact3: (x): (¬{E}x v {D}x) -> {D}x fact4: ¬{B}{a} -> {L}{a} fact5: ¬{O}{e} -> ({L}{e} v {M}{e}) fact6: ¬{A}{a} -> {B}{a} fact7: ¬{D}{c} -> ({C}{b} v ¬{A}{b}) fact8: ¬{A}{a} fact9: ¬{C}{a} -> ({B}{jf} & {A}{jf}) fact10: {D}{b} -> ¬{C}{a} fact11: {M}{e} -> {J}{... | [
"fact6 & fact8 -> hypothesis;"
] | [
"fact6 & fact8 -> hypothesis;"
] | ãã®ãœã«ãœãLv.12ã¯æ ãããªã | ¬{B}{a} | [] | 5 | 1 | 1 | 1 | 1 | 14 | 0 | 14 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãœã«ã
ãœã¡ã
Lv.83ã现ããšããã°ãã®ãŸãªãŸãLv.55ã¯æšãŠé£ã fact2: ãããã®ãŸãªãŸãLv.55ãç Žãé£ããªããšãããšãã®ããããLv.83ã¯ç§ããããªãããããã¯ç²ãæãããŸãã¯äž¡æ¹ãšãã§ãã fact3: ç§ããããªãããããã¯ç²ãæãããŸãã¯äž¡æ¹ã§ããã¢ã³ã¹ã¿ãŒã¯ç²ãæã fact4: ä»®ã«ãã®ãœã«ãœãLv.12ãæ ãããªããšããã°çްã fact5: ãã®ãœã«ã
ãœã¡ã
Lv.83ãæ€æ°å°åããªããªãããã¯çްãããããã¯ããã¯å€«å©Šããã fact6: ãã®ãœã«ãœãLv.12ã¯äœæäœæãããªããšãããšãããã¯æ ãããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact7: ã... | fact6 & fact8 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {L}{e} -> {J}{c} fact2: ¬{F}{c} -> (¬{E}{b} v {D}{b}) fact3: (x): (¬{E}x v {D}x) -> {D}x fact4: ¬{B}{a} -> {L}{a} fact5: ¬{O}{e} -> ({L}{e} v {M}{e}) fact6: ¬{A}{a} -> {B}{a} fact7: ¬{D}{c} -> ({C}{b} v ¬{A}{b}) fact8: ¬{A}{a} fact9: ¬{C}{a} -> ({B}{jf} & {A}{jf}) fact10: {D}{b} -> ¬{C}{a} fact11: {M}{... | fact6 & fact8 -> hypothesis; __DISPROVED__ |
0.3 | ãåã
ãããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ã€ | ¬{A} | fact1: ããœããœãLv.89äºä»¶ã¯èµ·ãããªãããšããããšã¯ã調ç¯ãæããšããããšãšèš±ãé£ããšããããšäž¡æ¹ãçããããšããããšã«ç¹ãã fact2: ä»®ã«ãä¿¡ãé£ããšããããšãèµ·ãããå³å€ªããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããããœããœãLv.89äºä»¶ã¯çºçããªã fact3: 圢æãæããšããããšãçãã fact4: 䜿ãèŸããšããããšãçºçãããšããã°ããä¿¡ãé£ããšããããšãçããäžæ¹ã§å³å€ªããšããããšã¯çããªãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ fact5: ãã·ãã·ã®Lv.32äºä»¶ã¯èµ·ãããªããåã
ãããšããããšã¯çºçããªãããšããããšã¯èª¿ç¯ãæããšããããšã«ããçãã fact... | fact1: ¬{E} -> ({C} & {D}) fact2: ¬({F} & ¬{G}) -> ¬{E} fact3: {AS} fact4: {H} -> ¬({F} & ¬{G}) fact5: {C} -> (¬{B} & ¬{A}) fact6: {A} fact7: {DL} | [
"fact6 -> hypothesis;"
] | [
"fact6 -> hypothesis;"
] | ãåã
ãããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ã€ | ¬{A} | [] | 9 | 1 | 1 | 0 | 0 | 6 | 0 | 6 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããœããœãLv.89äºä»¶ã¯èµ·ãããªãããšããããšã¯ã調ç¯ãæããšããããšãšèš±ãé£ããšããããšäž¡æ¹ãçããããšããããšã«ç¹ãã fact2: ä»®ã«ãä¿¡ãé£ããšããããšãèµ·ãããå³å€ªããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããããœããœãLv.89äºä»¶ã¯çºçããªã fact3: 圢æãæããšããããšãçãã fact4: 䜿ãèŸããšããããšãçºçãããšããã°ããä¿¡ãé£ããšããããšãçããäžæ¹ã§å³å€ªããšããããšã¯çããªãããšããããšã¯æãç«ããªãããšããããšã¯æãç«ã€ fact5: ãã·ãã·ã®Lv.32äºä»¶ã¯èµ·ãããªããåã
ãããšããããšã¯çºçããªãããšããããšã¯èª¿ç¯ãæããšããããšã«... | fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{E} -> ({C} & {D}) fact2: ¬({F} & ¬{G}) -> ¬{E} fact3: {AS} fact4: {H} -> ¬({F} & ¬{G}) fact5: {C} -> (¬{B} & ¬{A}) fact6: {A} fact7: {DL} ; $hypothesis$ = ¬{A} ; $proof$ = | fact6 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽã®ãŽã¡ã
Lv.39ã¯ã¡ããããªããé£ãåºãããšããããšã¯æãç«ããªã | ¬(¬{A}{aa} & {B}{aa}) | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å ç±èª¿çããªããã©äŒããæã fact2: ãã®ãŽã®ãŽã¡ã
Lv.39ã¯ã¡ããããªã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åã
ãããªããŠããŸãã«ããã¯çŠãèã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è¿ä»ãé£ããªãããã©æšç®çްãã fact5: ãã®ãŸã¡ããŸãLv.58ã¯å€ãæããªãããã©ããã¯è¯ãã fact6: ããããã¢ã³ã¹ã¿ãŒã¯ã¡ããããªã fact7: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯èª€è§£ãæããªãããã©èš±ãé£ã fact8: ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯éé£ããªãããããèãåããããšããããšã¯æãç«ã€ fact9: ããã®ãŽã®ãŽã¡ã
Lv.39ã¯å£ãããªããªãããã©é¿åãããããšããããšã¯æãç«ã€ fact10: ããã... | fact1: (x): (¬{GG}x & {DK}x) fact2: ¬{A}{aa} fact3: (x): (¬{AP}x & {IQ}x) fact4: (x): (¬{S}x & {GU}x) fact5: (¬{AI}{hs} & {HK}{hs}) fact6: (x): ¬{A}x fact7: (x): (¬{GI}x & {JB}x) fact8: (x): (¬{HI}x & {CG}x) fact9: (¬{ID}{aa} & {DC}{aa}) fact10: (x): (¬{S}x & {FR}x) fact11: (x): ¬{E}x -> ({D}x & {C}x) fact12: (x): (¬{I... | [
"fact17 -> hypothesis;"
] | [
"fact17 -> hypothesis;"
] | ããã®ãŽã®ãŽã¡ã
Lv.39ã¯ã¡ããããªããé£ãåºãããšããããšã¯æãç«ããªã | ¬(¬{A}{aa} & {B}{aa}) | [
"fact20 -> int1: ãããã®ãŽã®ãŽã¡ã
Lv.39ã¯æ¡ããªããªãã°ãããã¯ã¡ããããšããããšã¯ãªãããŸãé£ãåºãããšããããšã¯èª€ã£ãŠãã;"
] | 4 | 1 | 1 | 1 | 1 | 18 | 0 | 18 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å ç±èª¿çããªããã©äŒããæã fact2: ãã®ãŽã®ãŽã¡ã
Lv.39ã¯ã¡ããããªã fact3: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åã
ãããªããŠããŸãã«ããã¯çŠãèã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯è¿ä»ãé£ããªãããã©æšç®çްãã fact5: ãã®ãŸã¡ããŸãLv.58ã¯å€ãæããªãããã©ããã¯è¯ãã fact6: ããããã¢ã³ã¹ã¿ãŒã¯ã¡ããããªã fact7: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯èª€è§£ãæããªãããã©èš±ãé£ã fact8: ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯éé£ããªãããããèãåããããšããããšã¯æãç«ã€ fact9: ããã®ãŽã®ãŽã¡ã
Lv.39ã¯å£ãããªããªãããã©é¿åãããããšããããšã¯æãç«ã€ f... | fact17 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): (¬{GG}x & {DK}x) fact2: ¬{A}{aa} fact3: (x): (¬{AP}x & {IQ}x) fact4: (x): (¬{S}x & {GU}x) fact5: (¬{AI}{hs} & {HK}{hs}) fact6: (x): ¬{A}x fact7: (x): (¬{GI}x & {JB}x) fact8: (x): (¬{HI}x & {CG}x) fact9: (¬{ID}{aa} & {DC}{aa}) fact10: (x): (¬{S}x & {FR}x) fact11: (x): ¬{E}x -> ({D}x & {C}x) fact12:... | fact17 -> hypothesis; __DISPROVED__ |
0.3 | ãã«ããã«Lv.27äºä»¶ãçãããã©ãã«ãã®Lv.63äºä»¶ã¯èµ·ãããªã | ({AA} & ¬{AB}) | fact1: ãããå¹³ã¹ã£ãããšããããšã¯çããªããªãããã«ããã«Lv.27äºä»¶ãçããããã«ãã®Lv.63äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ã£ãŠãã fact2: å¹³ã¹ã£ãããšããããšã¯ããã«ããã«Lv.27äºä»¶ã¯çºçããããã«ãã®Lv.63äºä»¶ã¯çºçããªãããšããããšã«åž°çµãã fact3: å¹³ã¹ã£ãããšããããšã¯ãã«ãã®Lv.63äºä»¶ã¯çºçããªããšããããšãåŒãèµ·ãã fact4: ããããå¹³ã¹ã£ãããšããããšãçããããããèžã¿æ®ºãããšã¯èµ·ããªãããšããããšã¯ç¢ºãã§ãªãããšããããšã¯äºå®ã§ãããªãå¹³ã¹ã£ãããšããããšã¯çããªã fact5: å¹³ã¹ã£ãããšããããšãçãã fact6: ã·ãã·ã¡ã
Lv.35äºä»¶ãèµ·ãããã©ãããã¡... | fact1: ¬{A} -> ¬({AA} & ¬{AB}) fact2: {A} -> ({AA} & ¬{AB}) fact3: {A} -> ¬{AB} fact4: ¬({A} & ¬{B}) -> ¬{A} fact5: {A} fact6: ({DG} & ¬{GI}) | [
"fact2 & fact5 -> hypothesis;"
] | [
"fact2 & fact5 -> hypothesis;"
] | ããã«ããã«Lv.27äºä»¶ãèµ·ããããã©ãã«ãã®Lv.63äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ããªã | ¬({AA} & ¬{AB}) | [] | 7 | 1 | 1 | 1 | 1 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããå¹³ã¹ã£ãããšããããšã¯çããªããªãããã«ããã«Lv.27äºä»¶ãçããããã«ãã®Lv.63äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ã£ãŠãã fact2: å¹³ã¹ã£ãããšããããšã¯ããã«ããã«Lv.27äºä»¶ã¯çºçããããã«ãã®Lv.63äºä»¶ã¯çºçããªãããšããããšã«åž°çµãã fact3: å¹³ã¹ã£ãããšããããšã¯ãã«ãã®Lv.63äºä»¶ã¯çºçããªããšããããšãåŒãèµ·ãã fact4: ããããå¹³ã¹ã£ãããšããããšãçããããããèžã¿æ®ºãããšã¯èµ·ããªãããšããããšã¯ç¢ºãã§ãªãããšããããšã¯äºå®ã§ãããªãå¹³ã¹ã£ãããšããããšã¯çããªã fact5: å¹³ã¹ã£ãããšããããšãçãã fact6: ã·ãã·ã¡ã
Lv.35äºä»¶... | fact2 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A} -> ¬({AA} & ¬{AB}) fact2: {A} -> ({AA} & ¬{AB}) fact3: {A} -> ¬{AB} fact4: ¬({A} & ¬{B}) -> ¬{A} fact5: {A} fact6: ({DG} & ¬{GI}) ; $hypothesis$ = ({AA} & ¬{AB}) ; $proof$ = | fact2 & fact5 -> hypothesis; __PROVED__ |
0.3 | ç¬ãå ãããããšã¯çºçããªãããã©èªç Žããããšãèµ·ãã | (¬{AA} & {AB}) | fact1: ãããæšã¿ããŸãããšããããšãèµ·ããããšããããšã¯çå®ã§ãããšãããšãŸã«ãŸãLv.24äºä»¶ãçããäžæ¹ã§ãã«ãããLv.96äºä»¶ã¯èµ·ããªã fact2: ããéãããšããããšã¯èµ·ããªããšãããããœã«ã
ãœãLv.11äºä»¶ãšãŽããŽã«Lv.21äºä»¶äž¡æ¹ãèµ·ããããšããããšã¯æãç«ããªã fact3: ããœã«ã
ãœãLv.11äºä»¶ãšãŽããŽã«Lv.21äºä»¶ã©ã¡ãããçããããšããããšã¯åã§ãããªããœã«ã
ãœãLv.11äºä»¶ã¯çããªã fact4: æšã¿ããŸãããšããããšã¯æ°ãããšããããšã«åŒãèµ·ãããã fact5: ä»®ã«ãã¡ã
ããLv.77äºä»¶ã¯çããªããªãéãããšããããšã¯èµ·ãããªããäžãé£ããšããããšãèµ·ãã fact6: ã... | fact1: {L} -> ({K} & ¬{J}) fact2: ¬{D} -> ¬({B} & {C}) fact3: ¬({B} & {C}) -> ¬{B} fact4: {M} -> {L} fact5: ¬{F} -> (¬{D} & {E}) fact6: ¬{B} -> {A} fact7: (¬{DI} & {GA}) fact8: {H} -> (¬{F} & {G}) fact9: ¬{A} -> ¬{AA} fact10: ¬{A} -> (¬{AA} & {AB}) fact11: {A} -> ¬(¬{AA} & {AB}) fact12: ¬{J} -> ({I} & {H}) fact13: ¬{A} | [
"fact10 & fact13 -> hypothesis;"
] | [
"fact10 & fact13 -> hypothesis;"
] | ãç¬ãå ãããããšãçºçããªãäžæ¹ã§èªç Žããããšã¯çºçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬(¬{AA} & {AB}) | [] | 14 | 1 | 1 | 1 | 1 | 11 | 0 | 11 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããæšã¿ããŸãããšããããšãèµ·ããããšããããšã¯çå®ã§ãããšãããšãŸã«ãŸãLv.24äºä»¶ãçããäžæ¹ã§ãã«ãããLv.96äºä»¶ã¯èµ·ããªã fact2: ããéãããšããããšã¯èµ·ããªããšãããããœã«ã
ãœãLv.11äºä»¶ãšãŽããŽã«Lv.21äºä»¶äž¡æ¹ãèµ·ããããšããããšã¯æãç«ããªã fact3: ããœã«ã
ãœãLv.11äºä»¶ãšãŽããŽã«Lv.21äºä»¶ã©ã¡ãããçããããšããããšã¯åã§ãããªããœã«ã
ãœãLv.11äºä»¶ã¯çããªã fact4: æšã¿ããŸãããšããããšã¯æ°ãããšããããšã«åŒãèµ·ãããã fact5: ä»®ã«ãã¡ã
ããLv.77äºä»¶ã¯çããªããªãéãããšããããšã¯èµ·ãããªããäžãé£ããšããããšãèµ·ã... | fact10 & fact13 -> hypothesis; __PROVED__ | $facts$ = fact1: {L} -> ({K} & ¬{J}) fact2: ¬{D} -> ¬({B} & {C}) fact3: ¬({B} & {C}) -> ¬{B} fact4: {M} -> {L} fact5: ¬{F} -> (¬{D} & {E}) fact6: ¬{B} -> {A} fact7: (¬{DI} & {GA}) fact8: {H} -> (¬{F} & {G}) fact9: ¬{A} -> ¬{AA} fact10: ¬{A} -> (¬{AA} & {AB}) fact11: {A} -> ¬(¬{AA} & {AB}) fact12: ¬{J} -> ({I} & {H}) fa... | fact10 & fact13 -> hypothesis; __PROVED__ |
0.3 | ããããã®ã·ãªã·ã«ãLv.2ãè¿ãããšããã°ãã®ã·ãªã·ã«ãLv.2ã¯æšããªã | {A}{aa} -> ¬{C}{aa} | fact1: ãããããã¢ã³ã¹ã¿ãŒãæ€åºåºæ¥ããšããã°éŠŽæã¿æ·±ããªã fact2: äœããã®ã¢ã³ã¹ã¿ãŒãè¿ãããªãæšã fact3: ãããšããã¢ã³ã¹ã¿ãŒãæšãã£ãããããªãããã¯éæç¡ããªã fact4: ããã£ã±ãã¢ã³ã¹ã¿ãŒã¯æ··å
¥ãæããªã fact5: ãããããã¢ã³ã¹ã¿ãŒãåŸé£ããªãã°ããã¯é¢ç®ç¡ããªã fact6: è¿ããã¢ã³ã¹ã¿ãŒã¯æšããšããããšã¯ãªã fact7: ããä»®ã«ãã®ã·ãªã·ã«ãLv.2ãé å¿ãæããšããã°ããã¯åãé£ããªã fact8: ããã¢ã³ã¹ã¿ãŒãè¡ãé£ããšããã°ããã¯æœããšããããšã¯ãªã fact9: ä»®ã«ãã®ã·ãªã·ã«ãLv.2ãæšããšãããšããã¯èŠªãããªã fact10: ä»®ã«ãã®ã·ãªã·ã«ãLv.2... | fact1: (x): {BO}x -> ¬{GT}x fact2: (x): {A}x -> {C}x fact3: (x): {HR}x -> ¬{GH}x fact4: (x): {IR}x -> ¬{B}x fact5: (x): {BN}x -> ¬{JG}x fact6: (x): {A}x -> ¬{C}x fact7: {BS}{aa} -> ¬{FT}{aa} fact8: (x): {CH}x -> ¬{H}x fact9: {C}{aa} -> ¬{L}{aa} fact10: {A}{aa} -> ¬{AO}{aa} fact11: (x): {FJ}x -> ¬{FQ}x fact12: {A}{aa} -... | [
"fact6 -> hypothesis;"
] | [
"fact6 -> hypothesis;"
] | ããã®ã¿ã«ã
ã¿ãLv.84ã¯ä»ãæãããšããããšã¯äºå®ã§ãããšãããšæšããªã | {DT}{dq} -> ¬{C}{dq} | [
"fact16 -> hypothesis;"
] | 1 | 1 | 1 | 1 | 1 | 14 | 0 | 14 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ãããããã¢ã³ã¹ã¿ãŒãæ€åºåºæ¥ããšããã°éŠŽæã¿æ·±ããªã fact2: äœããã®ã¢ã³ã¹ã¿ãŒãè¿ãããªãæšã fact3: ãããšããã¢ã³ã¹ã¿ãŒãæšãã£ãããããªãããã¯éæç¡ããªã fact4: ããã£ã±ãã¢ã³ã¹ã¿ãŒã¯æ··å
¥ãæããªã fact5: ãããããã¢ã³ã¹ã¿ãŒãåŸé£ããªãã°ããã¯é¢ç®ç¡ããªã fact6: è¿ããã¢ã³ã¹ã¿ãŒã¯æšããšããããšã¯ãªã fact7: ããä»®ã«ãã®ã·ãªã·ã«ãLv.2ãé å¿ãæããšããã°ããã¯åãé£ããªã fact8: ããã¢ã³ã¹ã¿ãŒãè¡ãé£ããšããã°ããã¯æœããšããããšã¯ãªã fact9: ä»®ã«ãã®ã·ãªã·ã«ãLv.2ãæšããšãããšããã¯èŠªãããªã fact10: ä»®ã«ã... | fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {BO}x -> ¬{GT}x fact2: (x): {A}x -> {C}x fact3: (x): {HR}x -> ¬{GH}x fact4: (x): {IR}x -> ¬{B}x fact5: (x): {BN}x -> ¬{JG}x fact6: (x): {A}x -> ¬{C}x fact7: {BS}{aa} -> ¬{FT}{aa} fact8: (x): {CH}x -> ¬{H}x fact9: {C}{aa} -> ¬{L}{aa} fact10: {A}{aa} -> ¬{AO}{aa} fact11: (x): {FJ}x -> ¬{FQ}x fact12:... | fact6 -> hypothesis; __PROVED__ |
0.3 | ãŽã«ããŽã®Lv.83äºä»¶ãçãããæ¥ããããšããããšãçããããŸãã¯äž¡æ¹ã§ãã | ({A} v {B}) | fact1: ããããœã«ããœãLv.74äºä»¶ã¯çããªãããããã¯ãŸã®ãŸãLv.33äºä»¶ãèµ·ããããšããããšã¯æãç«ããªããšããããœããœã¡ãLv.8äºä»¶ã¯èµ·ãããªã fact2: ä»®ã«ãŸããŸã¡ãLv.42äºä»¶ã¯çºçããªããšãããããœã«ããœãLv.74äºä»¶ã¯çºçããªãããããã¯ãŸã®ãŸãLv.33äºä»¶ãçããããããã¯ã©ã¡ããã§ããããšããããšã¯èª€ãã§ãã fact3: ãã·ã¡ã
ã·ã®Lv.31äºä»¶ã¯çºçããªãããšããããšã¯ããœããœã¡ãLv.8äºä»¶ã¯èµ·ãããªãããšããããšã奿©ã§ãã fact4: ããã©èããšããããšãçããããã¡ãããLv.97äºä»¶ãèµ·ããããŸãã¯ã©ã¡ããã§ãã fact5: ã·ã¡ã
ã·ã®Lv.31äºä»¶ã¯èµ·ããªããšãããšã... | fact1: ¬(¬{F} v {E}) -> ¬{D} fact2: ¬{G} -> ¬(¬{F} v {E}) fact3: ¬{D} -> ¬{C} fact4: ({DT} v {M}) fact5: ¬{C} -> ¬({A} v {B}) fact6: ¬({D} & {B}) -> ¬{B} fact7: ¬{C} -> ¬({D} & {B}) fact8: {GT} fact9: {B} | [
"fact9 -> hypothesis;"
] | [
"fact9 -> hypothesis;"
] | ç©å¯ãããšããããšãèµ·ãã | {CK} | [] | 7 | 1 | 1 | 1 | 1 | 8 | 0 | 8 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããœã«ããœãLv.74äºä»¶ã¯çããªãããããã¯ãŸã®ãŸãLv.33äºä»¶ãèµ·ããããšããããšã¯æãç«ããªããšããããœããœã¡ãLv.8äºä»¶ã¯èµ·ãããªã fact2: ä»®ã«ãŸããŸã¡ãLv.42äºä»¶ã¯çºçããªããšãããããœã«ããœãLv.74äºä»¶ã¯çºçããªãããããã¯ãŸã®ãŸãLv.33äºä»¶ãçããããããã¯ã©ã¡ããã§ããããšããããšã¯èª€ãã§ãã fact3: ãã·ã¡ã
ã·ã®Lv.31äºä»¶ã¯çºçããªãããšããããšã¯ããœããœã¡ãLv.8äºä»¶ã¯èµ·ãããªãããšããããšã奿©ã§ãã fact4: ããã©èããšããããšãçããããã¡ãããLv.97äºä»¶ãèµ·ããããŸãã¯ã©ã¡ããã§ãã fact5: ã·ã¡ã
ã·ã®Lv.31äºä»¶... | fact9 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬(¬{F} v {E}) -> ¬{D} fact2: ¬{G} -> ¬(¬{F} v {E}) fact3: ¬{D} -> ¬{C} fact4: ({DT} v {M}) fact5: ¬{C} -> ¬({A} v {B}) fact6: ¬({D} & {B}) -> ¬{B} fact7: ¬{C} -> ¬({D} & {B}) fact8: {GT} fact9: {B} ; $hypothesis$ = ({A} v {B}) ; $proof$ = | fact9 -> hypothesis; __PROVED__ |
0.3 | ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åºãŸããªã | (Ex): ¬{A}x | fact1: äœããã®ã¢ã³ã¹ã¿ãŒã¯æ¢ãç¡ããªã fact2: ãåºãŸããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯éãç¡ã fact4: ããã©ãã¹ããããªããã¢ã³ã¹ã¿ãŒã¯ãã fact5: è¡ããããªãã¢ã³ã¹ã¿ãŒã¯ãã fact6: ãšããã¢ã³ã¹ã¿ãŒã¯æ Œå¥œæªããªã fact7: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯éãé£ããªã fact8: ãã®ã·ãã·ãLv.76ãåºãŸãã°ãã®ã·ãã·ã¡ãLv.14ã¯åãã¡é£ããªã fact9: ããã¢ã³ã¹ã¿ãŒã¯æãããªã fact10: ã埡å®ãããªããã¢ã³ã¹ã¿ãŒã¯ãã fact11: ãå®ã£ãœããªããã¢ã³ã¹ã¿ãŒã¯ãã fact12: ãããã£ã±ããã¢ã³ã¹ã¿ãŒã¯ãã fact13: ãã®ã·ã¡ã
ã·ã«ã... | fact1: (Ex): ¬{FF}x fact2: (Ex): {A}x fact3: (Ex): {IB}x fact4: (Ex): ¬{ID}x fact5: (Ex): ¬{DJ}x fact6: (Ex): ¬{GP}x fact7: (Ex): ¬{HO}x fact8: {A}{b} -> ¬{AS}{a} fact9: (Ex): ¬{D}x fact10: (Ex): ¬{FS}x fact11: (Ex): ¬{JA}x fact12: (Ex): {CC}x fact13: ({D}{c} & {A}{c}) fact14: (Ex): {IH}x fact15: (Ex): {AT}x | [] | [] | ããã¢ã³ã¹ã¿ãŒã¯åãã¡é£ããšããããšã¯ãªã | (Ex): ¬{AS}x | [
"fact17 -> int1: ãã®ã·ã¡ã
ã·ã«ãLv.3ã¯åºãŸã;"
] | 6 | 1 | 1 | null | null | 15 | 0 | 15 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: äœããã®ã¢ã³ã¹ã¿ãŒã¯æ¢ãç¡ããªã fact2: ãåºãŸããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯éãç¡ã fact4: ããã©ãã¹ããããªããã¢ã³ã¹ã¿ãŒã¯ãã fact5: è¡ããããªãã¢ã³ã¹ã¿ãŒã¯ãã fact6: ãšããã¢ã³ã¹ã¿ãŒã¯æ Œå¥œæªããªã fact7: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯éãé£ããªã fact8: ãã®ã·ãã·ãLv.76ãåºãŸãã°ãã®ã·ãã·ã¡ãLv.14ã¯åãã¡é£ããªã fact9: ããã¢ã³ã¹ã¿ãŒã¯æãããªã fact10: ã埡å®ãããªããã¢ã³ã¹ã¿ãŒã¯ãã fact11: ãå®ã£ãœããªããã¢ã³ã¹ã¿ãŒã¯ãã fact12: ãããã£ã±ããã¢ã³ã¹ã¿ãŒã¯ãã fact13... | __UNKNOWN__ | $facts$ = fact1: (Ex): ¬{FF}x fact2: (Ex): {A}x fact3: (Ex): {IB}x fact4: (Ex): ¬{ID}x fact5: (Ex): ¬{DJ}x fact6: (Ex): ¬{GP}x fact7: (Ex): ¬{HO}x fact8: {A}{b} -> ¬{AS}{a} fact9: (Ex): ¬{D}x fact10: (Ex): ¬{FS}x fact11: (Ex): ¬{JA}x fact12: (Ex): {CC}x fact13: ({D}{c} & {A}{c}) fact14: (Ex): {IH}x fact15: (Ex): {AT}x ... | __UNKNOWN__ |
0.3 | ãã®ã¿ã«ãã¿ã¡ã
Lv.38ã¯åŸé£ããå ããŠåéãã | ({A}{a} & {B}{a}) | fact1: ãã®ã¿ã«ãã¿ã¡ã
Lv.38ã¯åŸ¡äžãçºãã fact2: ãã®ã·ã«ãã·ã¡ãLv.48ã¯åéãã fact3: ãã®ã¿ã«ãã¿ã¡ã
Lv.38ã¯åéãã fact4: ãã®ã¿ã«ãã¿ã¡ã
Lv.38ã¯èŠçªããã fact5: ãã®ã¿ã«ãã¿ã¡ã
Lv.38ã¯åŸé£ã fact6: ãã®ãŸããŸãLv.52ã¯åå²åºæ¥ããå ããŠçãã fact7: ãã®ãŸã«ããŸãLv.27ã¯åéãã fact8: ãã®ã·ãã·ãLv.24ã¯åéãã fact9: ããã®ã¿ã«ãã¿ã¡ã
Lv.38ã¯éã³æãããšããããšã¯äºå®ã fact10: ãã®ãã¡ããã«Lv.24ã¯åŸé£ã fact11: ãã®ããããLv.64ã¯åéãã fact12: ããã®ãã¡ããã¡ãLv.... | fact1: {IL}{a} fact2: {B}{cn} fact3: {B}{a} fact4: {IQ}{a} fact5: {A}{a} fact6: ({HH}{gp} & {JF}{gp}) fact7: {B}{du} fact8: {B}{s} fact9: {CQ}{a} fact10: {A}{hc} fact11: {B}{bi} fact12: {A}{cm} fact13: ({AE}{a} & {FI}{a}) fact14: ({GK}{a} & {CJ}{a}) fact15: ({H}{a} & {D}{a}) fact16: ({IA}{a} & {EH}{a}) | [
"fact5 & fact3 -> hypothesis;"
] | [
"fact5 & fact3 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 14 | 0 | 14 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã¿ã«ãã¿ã¡ã
Lv.38ã¯åŸ¡äžãçºãã fact2: ãã®ã·ã«ãã·ã¡ãLv.48ã¯åéãã fact3: ãã®ã¿ã«ãã¿ã¡ã
Lv.38ã¯åéãã fact4: ãã®ã¿ã«ãã¿ã¡ã
Lv.38ã¯èŠçªããã fact5: ãã®ã¿ã«ãã¿ã¡ã
Lv.38ã¯åŸé£ã fact6: ãã®ãŸããŸãLv.52ã¯åå²åºæ¥ããå ããŠçãã fact7: ãã®ãŸã«ããŸãLv.27ã¯åéãã fact8: ãã®ã·ãã·ãLv.24ã¯åéãã fact9: ããã®ã¿ã«ãã¿ã¡ã
Lv.38ã¯éã³æãããšããããšã¯äºå®ã fact10: ãã®ãã¡ããã«Lv.24ã¯åŸé£ã fact11: ãã®ããããLv.64ã¯åéãã fact12: ãã... | fact5 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {IL}{a} fact2: {B}{cn} fact3: {B}{a} fact4: {IQ}{a} fact5: {A}{a} fact6: ({HH}{gp} & {JF}{gp}) fact7: {B}{du} fact8: {B}{s} fact9: {CQ}{a} fact10: {A}{hc} fact11: {B}{bi} fact12: {A}{cm} fact13: ({AE}{a} & {FI}{a}) fact14: ({GK}{a} & {CJ}{a}) fact15: ({H}{a} & {D}{a}) fact16: ({IA}{a} & {EH}{a}) ; $hyp... | fact5 & fact3 -> hypothesis; __PROVED__ |
0.3 | ã·ãã·ã«ãLv.69äºä»¶ãçºçãã | {B} | fact1: ã¿ã¡ãã¿ã«ãLv.51äºä»¶ãèµ·ãã fact2: ãŽã«ããŽã®Lv.32äºä»¶ãèµ·ãã fact3: ãœã«ãœãLv.3äºä»¶ã¯çããªã fact4: æ
ãŠãããšã¯èµ·ãããªã fact5: 飲ã¿åºãããšã¯çºçããããŸããã«ã
ããLv.47äºä»¶ã¯çºçãã fact6: éã©ããšããããšã¯çããªã fact7: ãç©æ²ãããšããããšããã³ã·ãã·ã«ãLv.69äºä»¶ãçããããšããããšã¯ãç©ã
ãããšããããšã¯çºçããªãããšããããšã«ããçãã fact8: ã·ãã·ã¡ãLv.23äºä»¶ã¯çºçããªã fact9: ãç¡å£°åãæããšããããšãšæ¶Œãããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯æµã¿æ·±ããšããããšã黿¢ãã fact10: ãã¿ã¡ã
ã¿... | fact1: {HJ} fact2: {AA} fact3: ¬{FK} fact4: ¬{CS} fact5: ({CT} & {EQ}) fact6: ¬{S} fact7: ¬{D} -> ({HE} & {B}) fact8: ¬{GG} fact9: ({AH} & {IH}) -> ¬{FA} fact10: ({A} & {FI}) -> ¬{BP} fact11: ({AA} & {AB}) -> ¬{B} fact12: ¬{BN} fact13: {IO} fact14: {DP} fact15: ({IR} & {Q}) -> ¬{BU} fact16: ({IQ} & {FU}) -> ¬{CK} fact1... | [] | [] | ç©æ²ãããšããããšããã³ã¿ãã¿ãLv.47äºä»¶ã©ã¡ãããèµ·ãã | ({HE} & {CB}) | [] | 4 | 1 | 1 | null | null | 19 | 0 | 19 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã¿ã¡ãã¿ã«ãLv.51äºä»¶ãèµ·ãã fact2: ãŽã«ããŽã®Lv.32äºä»¶ãèµ·ãã fact3: ãœã«ãœãLv.3äºä»¶ã¯çããªã fact4: æ
ãŠãããšã¯èµ·ãããªã fact5: 飲ã¿åºãããšã¯çºçããããŸããã«ã
ããLv.47äºä»¶ã¯çºçãã fact6: éã©ããšããããšã¯çããªã fact7: ãç©æ²ãããšããããšããã³ã·ãã·ã«ãLv.69äºä»¶ãçããããšããããšã¯ãç©ã
ãããšããããšã¯çºçããªãããšããããšã«ããçãã fact8: ã·ãã·ã¡ãLv.23äºä»¶ã¯çºçããªã fact9: ãç¡å£°åãæããšããããšãšæ¶Œãããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯æµã¿æ·±ããšããããšã黿¢ãã fac... | __UNKNOWN__ | $facts$ = fact1: {HJ} fact2: {AA} fact3: ¬{FK} fact4: ¬{CS} fact5: ({CT} & {EQ}) fact6: ¬{S} fact7: ¬{D} -> ({HE} & {B}) fact8: ¬{GG} fact9: ({AH} & {IH}) -> ¬{FA} fact10: ({A} & {FI}) -> ¬{BP} fact11: ({AA} & {AB}) -> ¬{B} fact12: ¬{BN} fact13: {IO} fact14: {DP} fact15: ({IR} & {Q}) -> ¬{BU} fact16: ({IQ} & {FU}) -> ¬... | __UNKNOWN__ |
0.3 | ãã®ãã«ãããLv.20ã¯åäŸæ±ããã | {B}{b} | fact1: ãã®ã¿ã«ãã¿ã¡ãLv.56ã飲ã¿é£ããªããªãã°ãã®ãã«ãããLv.20ã¯åäŸæ±ããã fact2: ä»®ã«ããã®ã¿ã«ãã¿ã¡ãLv.56ã¯åäŸæ±ããããšããããšã¯ãªããã©å¯æãããããšããããšã¯èª€ã£ãŠãããªããã®ã¿ã®ã¿ã¡ãLv.86ã¯å¯æããã fact3: ãããããã®ã¿ã«ãã¿ã¡ãLv.56ã¯é£²ã¿é£ããã©å¯æããããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãããšããããã®ãã«ãããLv.20ã¯åäŸæ±ããã fact4: ãããã®ã¿ã«ãã¿ã¡ãLv.56ã¯é£²ã¿é£ãã坿ããããªãããšããããšã¯æãç«ã€ããšããããšã¯æãç«ããªã fact5: ããä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯åäŸæ±ãããäžæ¹ã§å¿çްããªãããšããããšã¯ééãã§ãããšãããå... | fact1: ¬{AA}{a} -> {B}{b} fact2: ¬(¬{B}{a} & {AB}{a}) -> {AB}{ab} fact3: ¬({AA}{a} & ¬{AB}{a}) -> {B}{b} fact4: ¬({AA}{a} & ¬{AB}{a}) fact5: (x): ¬({B}x & ¬{C}x) -> ¬{B}x | [
"fact3 & fact4 -> hypothesis;"
] | [
"fact3 & fact4 -> hypothesis;"
] | ãã®ã¿ã®ã¿ã¡ãLv.86ã¯å¯æããã | {AB}{ab} | [] | 5 | 1 | 1 | 1 | 1 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ã«ãã¿ã¡ãLv.56ã飲ã¿é£ããªããªãã°ãã®ãã«ãããLv.20ã¯åäŸæ±ããã fact2: ä»®ã«ããã®ã¿ã«ãã¿ã¡ãLv.56ã¯åäŸæ±ããããšããããšã¯ãªããã©å¯æãããããšããããšã¯èª€ã£ãŠãããªããã®ã¿ã®ã¿ã¡ãLv.86ã¯å¯æããã fact3: ãããããã®ã¿ã«ãã¿ã¡ãLv.56ã¯é£²ã¿é£ããã©å¯æããããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãããšããããã®ãã«ãããLv.20ã¯åäŸæ±ããã fact4: ãããã®ã¿ã«ãã¿ã¡ãLv.56ã¯é£²ã¿é£ãã坿ããããªãããšããããšã¯æãç«ã€ããšããããšã¯æãç«ããªã fact5: ããä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯åäŸæ±ãããäžæ¹ã§å¿çްããªãããšããããšã¯é... | fact3 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{AA}{a} -> {B}{b} fact2: ¬(¬{B}{a} & {AB}{a}) -> {AB}{ab} fact3: ¬({AA}{a} & ¬{AB}{a}) -> {B}{b} fact4: ¬({AA}{a} & ¬{AB}{a}) fact5: (x): ¬({B}x & ¬{C}x) -> ¬{B}x ; $hypothesis$ = {B}{b} ; $proof$ = | fact3 & fact4 -> hypothesis; __PROVED__ |
0.3 | å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æå¿åºæ¥ã | (x): {A}x | fact1: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ã³ããŒãããšãããšãæ³£ãããªãããã®äžç§ãããããšããããšã¯äºå®ãšç°ãªã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æå¿åºæ¥ã fact3: ããä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯æ«æããããªãããã©çŽ æŽãããããšããããšã¯åœã ãšãããšããã¯æ«æããã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æããæã fact5: ãæ«æãããã¢ã³ã¹ã¿ãŒã¯ã³ããŒããããšããããšã¯æ£ãã fact6: ããããªãããã®ã¢ã³ã¹ã¿ãŒãæå¿åºæ¥ãã°ããã¯çºç«ãã fact7: ããã¯æ«æããããšããããšã¯ãªããçŽ æŽããããšããã¢ã³ã¹ã¿ãŒã¯ãªã | fact1: (x): {D}x -> ¬(¬{B}x & {C}x) fact2: (x): {A}x fact3: (x): ¬(¬{E}x & {F}x) -> {E}x fact4: (x): {DH}x fact5: (x): {E}x -> {D}x fact6: (x): {A}x -> {GR}x fact7: (x): ¬(¬{E}x & {F}x) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ããããã¢ã³ã¹ã¿ãŒã¯çºç«ãã | (x): {GR}x | [
"fact8 -> int1: ããä»®ã«ãã®ã·ã¡ãã·ãLv.51ãæå¿åºæ¥ããšããããã®ã·ã¡ãã·ãLv.51ã¯çºç«ãã; fact10 -> int2: ãããã®ã·ã¡ãã·ãLv.51ã¯ã³ããŒãããšããã°ããã®ã·ã¡ãã·ãLv.51ã¯æ³£ãããªããããã¯ç§ãããããšããããšã¯ééãã§ãã; fact9 -> int3: ãããããã®ã·ã¡ãã·ãLv.51ã¯æ«æããããªããçŽ æŽãããããšããããšã¯çå®ã§ãªããšãããšæ«æããã; fact11 -> int4: ããã®ã·ã¡ãã·ãLv.51ã¯æ«æããããªãããããçŽ æŽãããããšããããšã¯æãç«ããªã; int3 & int4 -> int5: ãã®ã·ã¡ãã·ãLv.51ã¯æ«æããã; fac... | 7 | 1 | 1 | 0 | 0 | 6 | 0 | 6 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ã³ããŒãããšãããšãæ³£ãããªãããã®äžç§ãããããšããããšã¯äºå®ãšç°ãªã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æå¿åºæ¥ã fact3: ããä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯æ«æããããªãããã©çŽ æŽãããããšããããšã¯åœã ãšãããšããã¯æ«æããã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æããæã fact5: ãæ«æãããã¢ã³ã¹ã¿ãŒã¯ã³ããŒããããšããããšã¯æ£ãã fact6: ããããªãããã®ã¢ã³ã¹ã¿ãŒãæå¿åºæ¥ãã°ããã¯çºç«ãã fact7: ããã¯æ«æããããšããããšã¯ãªããçŽ æŽããããšããã¢ã³ã¹ã¿ãŒã¯ãªã ; $hypothesis$ = å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æå¿åºæ¥ã ; $pr... | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {D}x -> ¬(¬{B}x & {C}x) fact2: (x): {A}x fact3: (x): ¬(¬{E}x & {F}x) -> {E}x fact4: (x): {DH}x fact5: (x): {E}x -> {D}x fact6: (x): {A}x -> {GR}x fact7: (x): ¬(¬{E}x & {F}x) ; $hypothesis$ = (x): {A}x ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | 欲深ããšããããšããã³ãããã«ãLv.72äºä»¶ãçãã | ({A} & {B}) | fact1: å¿çšããããšãèµ·ãã fact2: ãœããœã«Lv.98äºä»¶ãçºçãã fact3: ããã¹ã©ã€ãããããšã¯çºçããªãããŸãã¯çã£æããšããããšã¯çºçããªããªãã°çã£æããšããããšã¯çºçããªã fact4: ãã¡ãããLv.7äºä»¶ãçãã fact5: ã也ãæããšããããšãèµ·ããããšããããšã¯æãç«ã€ fact6: ä»®ã«ç ãæããšããããšãèµ·ãããšãããã¹ã©ã€ãããããšã¯èµ·ãããªãããããã¯çã£æããšããããšã¯èµ·ãããªã fact7: ãæ¬²æ·±ããšããããšãèµ·ããããšããããšã¯æ£ãã fact8: çã£æããšããããšãšç ãæããšããããšäž¡æ¹ãšããçãããªãæãããšããããšã¯èµ·ããªã fact9: çã£æããšããããšã¯çºç... | fact1: {HO} fact2: {J} fact3: (¬{F} v ¬{D}) -> ¬{D} fact4: {FH} fact5: {ID} fact6: {E} -> (¬{F} v ¬{D}) fact7: {A} fact8: ({D} & {E}) -> ¬{C} fact9: ¬{D} -> (¬{B} & ¬{C}) fact10: ({HM} & {EP}) fact11: {B} fact12: {JE} fact13: {J} -> {D} fact14: ¬{C} -> ¬({A} & {B}) fact15: ¬{I} -> ({H} v {G}) fact16: {D} fact17: {L} fa... | [
"fact7 & fact11 -> hypothesis;"
] | [
"fact7 & fact11 -> hypothesis;"
] | ããæ¬²æ·±ããšããããšãšãããã«ãLv.72äºä»¶äž¡æ¹ãèµ·ããããšããããšã¯èª€ãã ããšããããšã¯æãç«ã€ | ¬({A} & {B}) | [
"fact19 & fact21 -> int1: çã£æããšããããšãèµ·ãã;"
] | 8 | 1 | 1 | 1 | 1 | 16 | 0 | 16 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: å¿çšããããšãèµ·ãã fact2: ãœããœã«Lv.98äºä»¶ãçºçãã fact3: ããã¹ã©ã€ãããããšã¯çºçããªãããŸãã¯çã£æããšããããšã¯çºçããªããªãã°çã£æããšããããšã¯çºçããªã fact4: ãã¡ãããLv.7äºä»¶ãçãã fact5: ã也ãæããšããããšãèµ·ããããšããããšã¯æãç«ã€ fact6: ä»®ã«ç ãæããšããããšãèµ·ãããšãããã¹ã©ã€ãããããšã¯èµ·ãããªãããããã¯çã£æããšããããšã¯èµ·ãããªã fact7: ãæ¬²æ·±ããšããããšãèµ·ããããšããããšã¯æ£ãã fact8: çã£æããšããããšãšç ãæããšããããšäž¡æ¹ãšããçãããªãæãããšããããšã¯èµ·ããªã fact9: çã£... | fact7 & fact11 -> hypothesis; __PROVED__ | $facts$ = fact1: {HO} fact2: {J} fact3: (¬{F} v ¬{D}) -> ¬{D} fact4: {FH} fact5: {ID} fact6: {E} -> (¬{F} v ¬{D}) fact7: {A} fact8: ({D} & {E}) -> ¬{C} fact9: ¬{D} -> (¬{B} & ¬{C}) fact10: ({HM} & {EP}) fact11: {B} fact12: {JE} fact13: {J} -> {D} fact14: ¬{C} -> ¬({A} & {B}) fact15: ¬{I} -> ({H} v {G}) fact16: {D} fact... | fact7 & fact11 -> hypothesis; __PROVED__ |
0.3 | ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯éºããããšããããšã¯åœã§ãã | ¬((x): {A}x) | fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯éºãã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ããã¡ãªã fact3: ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æžåããããšããããšã¯äºå®ã§ãã fact4: ããããã¢ã³ã¹ã¿ãŒã¯å¹Œããªã fact5: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åè§£ããé£ã | fact1: (x): {A}x fact2: (x): {EK}x fact3: (x): {DG}x fact4: (x): {BU}x fact5: (x): {GQ}x | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯éºãã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ããã¡ãªã fact3: ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æžåããããšããããšã¯äºå®ã§ãã fact4: ããããã¢ã³ã¹ã¿ãŒã¯å¹Œããªã fact5: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åè§£ããé£ã ; $hypothesis$ = ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯éºããããšããããšã¯åœã§ãã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x fact2: (x): {EK}x fact3: (x): {DG}x fact4: (x): {BU}x fact5: (x): {GQ}x ; $hypothesis$ = ¬((x): {A}x) ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | åãæããšããããšã¯çããªã | ¬{A} | fact1: ããå¿ããããšãèµ·ãããšããã°åãæããšããããšã¯èµ·ãããªãããããã¿ãã¿ã«Lv.0äºä»¶ãèµ·ãã | fact1: {C} -> (¬{A} & {B}) | [] | [] | åãæããšããããšã¯çããªã | ¬{A} | [] | 6 | 1 | 1 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããå¿ããããšãèµ·ãããšããã°åãæããšããããšã¯èµ·ãããªãããããã¿ãã¿ã«Lv.0äºä»¶ãèµ·ãã ; $hypothesis$ = åãæããšããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C} -> (¬{A} & {B}) ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽã«Lv.84ã¯å®ããªã | ¬{B}{a} | fact1: ãã®ãŽããŽã«Lv.84ã¯å¯çŽãã fact2: ããããã®ãŽããŽã«Lv.84ãå¯çŽãããšãããšå®ã | fact1: {A}{a} fact2: {A}{a} -> {B}{a} | [
"fact2 & fact1 -> hypothesis;"
] | [
"fact2 & fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãŽããŽã«Lv.84ã¯å¯çŽãã fact2: ããããã®ãŽããŽã«Lv.84ãå¯çŽãããšãããšå®ã ; $hypothesis$ = ãã®ãŽããŽã«Lv.84ã¯å®ããªã ; $proof$ = | fact2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{a} -> {B}{a} ; $hypothesis$ = ¬{B}{a} ; $proof$ = | fact2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | å¯ãããšããããšã¯çºçããªã | ¬{A} | fact1: ããã¡ãããLv.89äºä»¶ã¯çããªãããšããããšã¯ãå¯ãããšããããšãçºçããããããã¯è³ã
ãããšããããšã¯çºçããããããã¯äž¡æ¹ãšãã§ããããšããããšãèªçºãã fact2: ãœããœã¡ãLv.47äºä»¶ãçºçãã fact3: ãã·ã«ãã·ãLv.83äºä»¶ãçºçããããšããããšã¯äºå®ã fact4: ä¿¡å¿æ·±ããšããããšãèµ·ãã fact5: ããŽããŽãLv.83äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ fact6: ãå¯ãããšããããšãèµ·ããããšããããšã¯æç«ãé£ããšããããšã«åž°çµãã fact7: ãã£ãããšããããšãçºçãããå ããŠãã¡ã
ããLv.95äºä»¶ãèµ·ãã fact8: è³ã
ãããšããããšãçãã fact9: ã... | fact1: ¬{E} -> ({A} v {B}) fact2: {AG} fact3: {IQ} fact4: {AL} fact5: {EU} fact6: {A} -> {EQ} fact7: ({BJ} & {GE}) fact8: {B} fact9: ¬{C} -> (¬{A} & {B}) fact10: ¬({H} & {G}) fact11: ¬({H} & {G}) -> ¬{E} | [] | [] | æç«ãé£ããšããããšãšã¿ã«ãã¿ã«ãLv.77äºä»¶ãèµ·ãã | ({EQ} & {N}) | [
"fact12 & fact14 -> int1: ãã¡ãããLv.89äºä»¶ã¯çºçããªã; fact13 & int1 -> int2: å¯ãããšããããšããŸãã¯è³ã
ãããšããããšããããã¯äž¡æ¹ãšããèµ·ãã;"
] | 6 | 1 | 1 | null | null | 11 | 0 | 11 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããã¡ãããLv.89äºä»¶ã¯çããªãããšããããšã¯ãå¯ãããšããããšãçºçããããããã¯è³ã
ãããšããããšã¯çºçããããããã¯äž¡æ¹ãšãã§ããããšããããšãèªçºãã fact2: ãœããœã¡ãLv.47äºä»¶ãçºçãã fact3: ãã·ã«ãã·ãLv.83äºä»¶ãçºçããããšããããšã¯äºå®ã fact4: ä¿¡å¿æ·±ããšããããšãèµ·ãã fact5: ããŽããŽãLv.83äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ fact6: ãå¯ãããšããããšãèµ·ããããšããããšã¯æç«ãé£ããšããããšã«åž°çµãã fact7: ãã£ãããšããããšãçºçãããå ããŠãã¡ã
ããLv.95äºä»¶ãèµ·ãã fact8: è³ã
ãããšããããšãçã... | __UNKNOWN__ | $facts$ = fact1: ¬{E} -> ({A} v {B}) fact2: {AG} fact3: {IQ} fact4: {AL} fact5: {EU} fact6: {A} -> {EQ} fact7: ({BJ} & {GE}) fact8: {B} fact9: ¬{C} -> (¬{A} & {B}) fact10: ¬({H} & {G}) fact11: ¬({H} & {G}) -> ¬{E} ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŽã«ãŽãªLv.10ã¯èãæããªãããšããããšã¯æãç«ã€ | ¬{B}{a} | fact1: ãã®ãã¡ãããLv.22ã¯èãæã fact2: ãã®ãŽã«ãŽãªLv.10ã¯åã蟌ã fact3: ãã®ãŸããŸã«ãLv.77ã¯èãæã fact4: ããããã®ã·ã¡ã
ã·ã«ãLv.2ãã¡ã£ãããªããªãã°ãã®ã·ã¡ã
ã·ã«ãLv.2ã¯è¡ãæããæŽã«èãæã fact5: ãã®ãŽã«ãŽãªLv.10ã¯äººããã fact6: ãã®ãŸã«ã
ãŸãLv.20ã¯æ©ãæãã¢ã³ã¹ã¿ãŒã§ãã£ãŠããã«è¡ãæã fact7: ããããã®ãœããœãLv.52ã¯è¡ãæããªããŠã¡ã£ãããªãããšããããšã¯èª€ã£ãŠãããšãããšãã®ãŽã«ãŽãªLv.10ã¯èãæããªã fact8: ãã®ãŸããŸã¡ãLv.23ã¯è¡ãæã fact9: ãã®ãŽã«ãŽãªLv.10ã¯è¡ãæããããã«ãã... | fact1: {B}{gm} fact2: {DQ}{a} fact3: {B}{dm} fact4: ¬{C}{eh} -> ({A}{eh} & {B}{eh}) fact5: {JC}{a} fact6: ({AG}{bf} & {A}{bf}) fact7: ¬(¬{A}{b} & ¬{C}{b}) -> ¬{B}{a} fact8: {A}{im} fact9: ({A}{a} & {FM}{a}) fact10: {A}{a} | [] | [] | ãã®ã·ã¡ã
ã·ã«ãLv.2ã¯è¡ãæã | {A}{eh} | [] | 5 | 1 | 1 | null | null | 10 | 0 | 10 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãã¡ãããLv.22ã¯èãæã fact2: ãã®ãŽã«ãŽãªLv.10ã¯åã蟌ã fact3: ãã®ãŸããŸã«ãLv.77ã¯èãæã fact4: ããããã®ã·ã¡ã
ã·ã«ãLv.2ãã¡ã£ãããªããªãã°ãã®ã·ã¡ã
ã·ã«ãLv.2ã¯è¡ãæããæŽã«èãæã fact5: ãã®ãŽã«ãŽãªLv.10ã¯äººããã fact6: ãã®ãŸã«ã
ãŸãLv.20ã¯æ©ãæãã¢ã³ã¹ã¿ãŒã§ãã£ãŠããã«è¡ãæã fact7: ããããã®ãœããœãLv.52ã¯è¡ãæããªããŠã¡ã£ãããªãããšããããšã¯èª€ã£ãŠãããšãããšãã®ãŽã«ãŽãªLv.10ã¯èãæããªã fact8: ãã®ãŸããŸã¡ãLv.23ã¯è¡ãæã fact9: ãã®ãŽã«ãŽãªLv.10ã¯... | __UNKNOWN__ | $facts$ = fact1: {B}{gm} fact2: {DQ}{a} fact3: {B}{dm} fact4: ¬{C}{eh} -> ({A}{eh} & {B}{eh}) fact5: {JC}{a} fact6: ({AG}{bf} & {A}{bf}) fact7: ¬(¬{A}{b} & ¬{C}{b}) -> ¬{B}{a} fact8: {A}{im} fact9: ({A}{a} & {FM}{a}) fact10: {A}{a} ; $hypothesis$ = ¬{B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã¿ãã¿ãLv.15ã¯æ¬ãäžãããããã転éåºæ¥ãªãããšããããšã¯æãç«ããªã | ¬({AA}{b} & ¬{AB}{b}) | fact1: ãã®ãŸããŸãLv.63ã¯èŠªãããªã fact2: ãã®ãŸããŸãLv.63ã¯èŠªãããªããšãããšããã®ã¿ãã¿ãLv.15ã¯æ¬ãäžããããã©è»¢éåºæ¥ãªãããšããããšã¯ééãã§ãã | fact1: ¬{A}{a} fact2: ¬{A}{a} -> ¬({AA}{b} & ¬{AB}{b}) | [
"fact2 & fact1 -> hypothesis;"
] | [
"fact2 & fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŸããŸãLv.63ã¯èŠªãããªã fact2: ãã®ãŸããŸãLv.63ã¯èŠªãããªããšãããšããã®ã¿ãã¿ãLv.15ã¯æ¬ãäžããããã©è»¢éåºæ¥ãªãããšããããšã¯ééãã§ãã ; $hypothesis$ = ããã®ã¿ãã¿ãLv.15ã¯æ¬ãäžãããããã転éåºæ¥ãªãããšããããšã¯æãç«ããªã ; $proof$ = | fact2 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{a} fact2: ¬{A}{a} -> ¬({AA}{b} & ¬{AB}{b}) ; $hypothesis$ = ¬({AA}{b} & ¬{AB}{b}) ; $proof$ = | fact2 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã·ã«ãã·ãªLv.29äºä»¶ãçºçããªããŠãŽã«ããŽãLv.7äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ãã§ãã | ¬(¬{A} & ¬{B}) | fact1: ãã«ãããLv.75äºä»¶ã¯èµ·ãããªã fact2: æ¶Œãããšããããšã¯çããªããŠãããã·ã«ãã·ã«Lv.74äºä»¶ã¯çºçããªã fact3: åžžé£ããããšããããšã¯èµ·ããªããŠããããLv.36äºä»¶ã¯èµ·ãããªã fact4: ãã¡ããã«ãLv.17äºä»¶ã¯èµ·ãããªã fact5: ãŽã«ããŽãLv.7äºä»¶ã¯çºçããªã fact6: ã·ã«ãã·ãLv.42äºä»¶ã¯çããªã | fact1: ¬{GN} fact2: (¬{GS} & ¬{FA}) fact3: (¬{IR} & ¬{L}) fact4: ¬{GC} fact5: ¬{B} fact6: ¬{DR} | [] | [] | null | null | [] | null | 1 | 1 | null | null | 5 | 0 | 5 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã«ãããLv.75äºä»¶ã¯èµ·ãããªã fact2: æ¶Œãããšããããšã¯çããªããŠãããã·ã«ãã·ã«Lv.74äºä»¶ã¯çºçããªã fact3: åžžé£ããããšããããšã¯èµ·ããªããŠããããLv.36äºä»¶ã¯èµ·ãããªã fact4: ãã¡ããã«ãLv.17äºä»¶ã¯èµ·ãããªã fact5: ãŽã«ããŽãLv.7äºä»¶ã¯çºçããªã fact6: ã·ã«ãã·ãLv.42äºä»¶ã¯çããªã ; $hypothesis$ = ãã·ã«ãã·ãªLv.29äºä»¶ãçºçããªããŠãŽã«ããŽãLv.7äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ãã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{GN} fact2: (¬{GS} & ¬{FA}) fact3: (¬{IR} & ¬{L}) fact4: ¬{GC} fact5: ¬{B} fact6: ¬{DR} ; $hypothesis$ = ¬(¬{A} & ¬{B}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã¡ããŽãLv.42ã¯æååãããªã | ¬{B}{b} | fact1: å·ä»ãæãã¢ã³ã¹ã¿ãŒã¯çãããšããããšã¯ãªããããã fact2: ããä»®ã«ãã®ãœããœã®Lv.31ãäžžã£ããããããè¬ãããšããããã®ã·ãã·ãLv.16ã¯äžžã£ãããªã fact3: ããã®ãŽã¡ããŽãLv.42ã¯æååãããããããéããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: ããä»®ã«ããã®ã·ãã·ãLv.16ã¯æ
ç¡ããªãã銬鹿ãããããšããããšã¯åãªãã°ãã®ãœã¡ããœãªLv.60ã¯éŠ¬é¹¿ããããªã fact5: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãå
çåããã°ããã¯å·ä»ãæã fact6: ããããã®ãŽã¡ããŽãLv.42ã¯å䜵ãæãããããéããªãããšããããšã¯åã§ãããšããããã®ãã«ããã«Lv.33ã¯æååããã ... | fact1: (x): {D}x -> (¬{C}x & {A}x) fact2: ({H}{e} & {J}{e}) -> ¬{H}{d} fact3: ¬({B}{b} & ¬{AA}{b}) fact4: ¬(¬{G}{d} & {F}{d}) -> ¬{F}{c} fact5: (x): {E}x -> {D}x fact6: ¬({AB}{b} & ¬{AA}{b}) -> {B}{a} fact7: (x): {A}x -> ({B}x v ¬{C}x) fact8: ¬{H}{d} -> ¬(¬{G}{d} & {F}{d}) fact9: {D}{c} -> {A}{a} fact10: (¬{C}{a} & {A}... | [
"fact13 & fact12 -> hypothesis;"
] | [
"fact13 & fact12 -> hypothesis;"
] | ãã®ãŽã¡ããŽãLv.42ã¯æååãããªã | ¬{B}{b} | [
"fact17 -> int1: ããããã®ãã«ããã«Lv.33ãããããªãã°ããã¯æååãããããããã¯ããã¯çãããªã; fact18 -> int2: ãã®ãœã¡ããœãªLv.60ã銬鹿ããããšããããšã¯ãªããšãããšãã®ãœã¡ããœãªLv.60ã¯å·ä»ãæãããã®äžå
çåãã;"
] | 9 | 1 | 1 | 1 | 1 | 13 | 0 | 13 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: å·ä»ãæãã¢ã³ã¹ã¿ãŒã¯çãããšããããšã¯ãªããããã fact2: ããä»®ã«ãã®ãœããœã®Lv.31ãäžžã£ããããããè¬ãããšããããã®ã·ãã·ãLv.16ã¯äžžã£ãããªã fact3: ããã®ãŽã¡ããŽãLv.42ã¯æååãããããããéããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: ããä»®ã«ããã®ã·ãã·ãLv.16ã¯æ
ç¡ããªãã銬鹿ãããããšããããšã¯åãªãã°ãã®ãœã¡ããœãªLv.60ã¯éŠ¬é¹¿ããããªã fact5: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãå
çåããã°ããã¯å·ä»ãæã fact6: ããããã®ãŽã¡ããŽãLv.42ã¯å䜵ãæãããããéããªãããšããããšã¯åã§ãããšããããã®ãã«ããã«Lv.... | fact13 & fact12 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {D}x -> (¬{C}x & {A}x) fact2: ({H}{e} & {J}{e}) -> ¬{H}{d} fact3: ¬({B}{b} & ¬{AA}{b}) fact4: ¬(¬{G}{d} & {F}{d}) -> ¬{F}{c} fact5: (x): {E}x -> {D}x fact6: ¬({AB}{b} & ¬{AA}{b}) -> {B}{a} fact7: (x): {A}x -> ({B}x v ¬{C}x) fact8: ¬{H}{d} -> ¬(¬{G}{d} & {F}{d}) fact9: {D}{c} -> {A}{a} fact10: (¬{C... | fact13 & fact12 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã«ãœãLv.41ã¯çŸå§ããããªã | ¬{B}{a} | fact1: ä»®ã«ãã®ãŸãªãŸãªLv.26ãæ±ãåããæ
ãšããããšããããšã¯ãªããšããããã®ãœã«ãœãLv.41ã¯çŸå§ããããªã fact2: ãã®ãœã«ãœãLv.41ã¯æ
ãšããããŠããŸãã«çŸå§ããã | fact1: ({C}{b} & ¬{A}{b}) -> ¬{B}{a} fact2: ({A}{a} & {B}{a}) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ãã®ãœã«ãœãLv.41ã¯çŸå§ããããªã | ¬{B}{a} | [] | 4 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãŸãªãŸãªLv.26ãæ±ãåããæ
ãšããããšããããšã¯ãªããšããããã®ãœã«ãœãLv.41ã¯çŸå§ããããªã fact2: ãã®ãœã«ãœãLv.41ã¯æ
ãšããããŠããŸãã«çŸå§ããã ; $hypothesis$ = ãã®ãœã«ãœãLv.41ã¯çŸå§ããããªã ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({C}{b} & ¬{A}{b}) -> ¬{B}{a} fact2: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬{B}{a} ; $proof$ = | fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœããœãLv.94ã¯ç§»ãé£ãããããããã¯é£ãé£ã | ({A}{a} & {B}{a}) | fact1: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡åŽãããšããããšã¯ãªããšãããšãããã¯ç§»ãé£ããæŽã«é£ãé£ãããšããããšã¯æãç«ããªã fact2: ãã®ãœããœãLv.94ã¯ç§»ãé£ã | fact1: (x): ¬{C}x -> ¬({A}x & {B}x) fact2: {A}{a} | [] | [] | ããã®ãœããœãLv.94ã¯ç§»ãé£ããããã«ããã¯é£ãé£ãããšããããšã¯ééã£ãŠãã | ¬({A}{a} & {B}{a}) | [
"fact3 -> int1: ãä»®ã«ãã®ãœããœãLv.94ã¯åŸ¡åŽãããªããšãããããã®ãœããœãLv.94ã¯ç§»ãé£ããé£ãé£ãããšããããšã¯åœã§ããããšããããšã¯æ¬åœã§ãã;"
] | 4 | 1 | 1 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯åŸ¡åŽãããšããããšã¯ãªããšãããšãããã¯ç§»ãé£ããæŽã«é£ãé£ãããšããããšã¯æãç«ããªã fact2: ãã®ãœããœãLv.94ã¯ç§»ãé£ã ; $hypothesis$ = ãã®ãœããœãLv.94ã¯ç§»ãé£ãããããããã¯é£ãé£ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{C}x -> ¬({A}x & {B}x) fact2: {A}{a} ; $hypothesis$ = ({A}{a} & {B}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã«ã
ãœã®Lv.22ã¯æžå
ããªã | ¬{B}{a} | fact1: ãã®ãœã¡ããœã«ãLv.61ã¯æžå
ãã fact2: ããä»®ã«ããã®ãœã«ã
ãœã®Lv.22ã¯äººéèãããšããããšã¯æãç«ã€ãšãããšæžå
ãã fact3: ãã®ãœã«ã
ãœã®Lv.22ã¯æèäŒã£ãœã fact4: ãããã®ãŽã¡ã
ãŽãLv.53ãæž
ããšããã°ãã®ãŽã¡ã
ãŽãLv.53ã¯æžå
ãã fact5: ããããã¢ã³ã¹ã¿ãŒã¯æµããæããªã fact6: ãã®ãœã«ã
ãœã®Lv.22ã¯äººéèã fact7: åŸãæãããŸãã¯å³æ°ãªãããããã¯äž¡æ¹ã§ããã¢ã³ã¹ã¿ãŒã¯æžå
ããªã fact8: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯æµããæããªããªããåŸãæããŠãã€ããã¯éœãæããªãããšããããšã¯æãç«ããªã fact9: ãããããšããã¢ã³ã¹ã¿ãŒã¯åŸ... | fact1: {B}{b} fact2: {A}{a} -> {B}{a} fact3: {HI}{a} fact4: {JH}{bq} -> {B}{bq} fact5: (x): ¬{G}x fact6: {A}{a} fact7: (x): ({E}x v {D}x) -> ¬{B}x fact8: (x): ¬{G}x -> ¬({E}x & ¬{F}x) fact9: (x): ¬({E}x & ¬{F}x) -> ¬{D}x | [
"fact2 & fact6 -> hypothesis;"
] | [
"fact2 & fact6 -> hypothesis;"
] | ãã®ãœã«ã
ãœã®Lv.22ã¯æžå
ããªã | ¬{B}{a} | [
"fact10 -> int1: ä»®ã«ããã®ãœã«ã
ãœã®Lv.22ã¯åŸãæãããããéœãæããªãããšããããšã¯ééããªãã°ãã®ãœã«ã
ãœã®Lv.22ã¯å³æ°ãªããªã; fact11 -> int2: ãã®ãœã¡ããœã«ãLv.61ã¯æµããæããªããšããã°ãåŸãæããéœãæããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã; fact12 -> int3: ãã®ãœã¡ããœã«ãLv.61ã¯æµããæããªã; int2 & int3 -> int4: ããã®ãœã¡ããœã«ãLv.61ã¯åŸãæããã©éœãæããšããããšã¯ãªãããšããããšã¯èª€ãã§ãã; int4 -> int5: ããã¯åŸãæããéœãæããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã; int5 -> int6:... | 7 | 1 | 1 | 1 | 1 | 7 | 0 | 7 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãœã¡ããœã«ãLv.61ã¯æžå
ãã fact2: ããä»®ã«ããã®ãœã«ã
ãœã®Lv.22ã¯äººéèãããšããããšã¯æãç«ã€ãšãããšæžå
ãã fact3: ãã®ãœã«ã
ãœã®Lv.22ã¯æèäŒã£ãœã fact4: ãããã®ãŽã¡ã
ãŽãLv.53ãæž
ããšããã°ãã®ãŽã¡ã
ãŽãLv.53ã¯æžå
ãã fact5: ããããã¢ã³ã¹ã¿ãŒã¯æµããæããªã fact6: ãã®ãœã«ã
ãœã®Lv.22ã¯äººéèã fact7: åŸãæãããŸãã¯å³æ°ãªãããããã¯äž¡æ¹ã§ããã¢ã³ã¹ã¿ãŒã¯æžå
ããªã fact8: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯æµããæããªããªããåŸãæããŠãã€ããã¯éœãæããªãããšããããšã¯æãç«ããªã fact9: ãããã... | fact2 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{b} fact2: {A}{a} -> {B}{a} fact3: {HI}{a} fact4: {JH}{bq} -> {B}{bq} fact5: (x): ¬{G}x fact6: {A}{a} fact7: (x): ({E}x v {D}x) -> ¬{B}x fact8: (x): ¬{G}x -> ¬({E}x & ¬{F}x) fact9: (x): ¬({E}x & ¬{F}x) -> ¬{D}x ; $hypothesis$ = ¬{B}{a} ; $proof$ = | fact2 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãããã«ãLv.29ã¯æ³ãæ©ã | {A}{a} | fact1: ãã®ãŽããŽã¡ãLv.38ã¯åŒãæºããªã fact2: åãã¢ã³ã¹ã¿ãŒã¯æ³ãæ©ã fact3: ããä»®ã«ãã黎èããªãããããã¯åãèŸãããŸãã¯ã©ã¡ããã§ããããšããããšã¯èª€ã£ãŠãããã¢ã³ã¹ã¿ãŒããããªããã®ãããã«ãLv.29ã¯æ³ãæ©ããªã fact4: ããããã®ã·ã¡ã
ã·ã«ãLv.2ãææ
šæ·±ããªããªããã®ã·ãã·ã¡ãLv.28ã¯æ³ãæ©ããããã«åã fact5: ãã®ãŽããŽã¡ãLv.38ãåŒãæºããªããªããã®ã·ã¡ã
ã·ã«ãLv.2ã¯ææ
šæ·±ããªããå ããŠé転ãæããªã fact6: ãã®ãœããœã¡ãLv.2ã¯æãé£ã fact7: ããããšããã¢ã³ã¹ã¿ãŒãæãé£ããšããã°ããã¯çã¿æããšããããšã¯ãªããŠãŸãããã¯çºçãæããª... | fact1: ¬{E}{d} fact2: (x): {B}x -> {A}x fact3: (x): ¬(¬{AA}x v {AB}x) -> ¬{A}{a} fact4: ¬{C}{c} -> ({A}{b} & {B}{b}) fact5: ¬{E}{d} -> (¬{C}{c} & ¬{D}{c}) fact6: {N}{e} fact7: (x): {N}x -> (¬{M}x & ¬{K}x) fact8: ¬{AA}{a} fact9: ¬{J}{e} -> ({H}{d} & ¬{I}{d}) fact10: (x): {A}x -> {AR}x fact11: (x): (¬{F}x v {E}x) -> {D}x... | [
"fact20 & fact3 -> hypothesis;"
] | [
"fact20 & fact3 -> hypothesis;"
] | ããèªã蟌ããšããããšã¯ãªãããããã¯èæ±ãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯èª€ãã§ãããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ¬(¬{BM}x v {AR}x) | [
"fact23 -> int1: ããããã®ã·ãã·ã¡ãLv.28ã¯æ³ãæ©ãããšããããšã¯äºå®ã§ãããªããã®ã·ãã·ã¡ãLv.28ã¯èæ±ã; fact25 & fact24 -> int2: ãã®ã·ã¡ã
ã·ã«ãLv.2ã¯ææ
šæ·±ããªããããã¯é転ãæããªã; int2 -> int3: ããã®ã·ã¡ã
ã·ã«ãLv.2ã¯ææ
šæ·±ããªãããšããããšã¯æ¬åœã ; fact22 & int3 -> int4: ãã®ã·ãã·ã¡ãLv.28ã¯æ³ãæ©ããåã; int4 -> int5: ãã®ã·ãã·ã¡ãLv.28ã¯æ³ãæ©ã; int1 & int5 -> int6: ãã®ã·ãã·ã¡ãLv.28ã¯èæ±ã; int6 -> int7: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯è... | 8 | 1 | 1 | 1 | 1 | 19 | 0 | 19 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽããŽã¡ãLv.38ã¯åŒãæºããªã fact2: åãã¢ã³ã¹ã¿ãŒã¯æ³ãæ©ã fact3: ããä»®ã«ãã黎èããªãããããã¯åãèŸãããŸãã¯ã©ã¡ããã§ããããšããããšã¯èª€ã£ãŠãããã¢ã³ã¹ã¿ãŒããããªããã®ãããã«ãLv.29ã¯æ³ãæ©ããªã fact4: ããããã®ã·ã¡ã
ã·ã«ãLv.2ãææ
šæ·±ããªããªããã®ã·ãã·ã¡ãLv.28ã¯æ³ãæ©ããããã«åã fact5: ãã®ãŽããŽã¡ãLv.38ãåŒãæºããªããªããã®ã·ã¡ã
ã·ã«ãLv.2ã¯ææ
šæ·±ããªããå ããŠé転ãæããªã fact6: ãã®ãœããœã¡ãLv.2ã¯æãé£ã fact7: ããããšããã¢ã³ã¹ã¿ãŒãæãé£ããšããã°ããã¯çã¿æããšããããšã¯ãªããŠãŸ... | fact20 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{E}{d} fact2: (x): {B}x -> {A}x fact3: (x): ¬(¬{AA}x v {AB}x) -> ¬{A}{a} fact4: ¬{C}{c} -> ({A}{b} & {B}{b}) fact5: ¬{E}{d} -> (¬{C}{c} & ¬{D}{c}) fact6: {N}{e} fact7: (x): {N}x -> (¬{M}x & ¬{K}x) fact8: ¬{AA}{a} fact9: ¬{J}{e} -> ({H}{d} & ¬{I}{d}) fact10: (x): {A}x -> {AR}x fact11: (x): (¬{F}x v {E}... | fact20 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | çã¿é£ããšããããšã¯èµ·ãããªã | ¬{A} | fact1: æ©ãæããšããããšã¯èµ·ããªããšãããå£ãé£ããšããããšãèµ·ãããããã«çã¿é£ããšããããšãçºçãã fact2: ã¹ãä»ãæããšããããšã¯èµ·ããªããšããã°ãã·ã«ã·ã«ã
Lv.2äºä»¶ããã³äœããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯èª€ãã§ãã fact3: ãé§äœ¿åºæ¥ãããšãçããããšããããšã¯æãç«ã€ fact4: ãããã·ã«ã·ã«ã
Lv.2äºä»¶ãèµ·ãããæŽã«äœããšããããšãèµ·ããããšããããšã¯æ£ãããªããšããã°æ©ãæããšããããšã¯çããªã fact5: ããæåããšããããšã¯çããªããšãããšã·ãã·ã®Lv.48äºä»¶ããããã¯è¿·ãé£ããšããããšãèµ·ãã | fact1: ¬{B} -> ({HA} & {A}) fact2: ¬{E} -> ¬({D} & {C}) fact3: {DS} fact4: ¬({D} & {C}) -> ¬{B} fact5: ¬{H} -> ({F} v {G}) | [] | [] | å£ãé£ããšããããšãçºçãã | {HA} | [] | 9 | 1 | 1 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: æ©ãæããšããããšã¯èµ·ããªããšãããå£ãé£ããšããããšãèµ·ãããããã«çã¿é£ããšããããšãçºçãã fact2: ã¹ãä»ãæããšããããšã¯èµ·ããªããšããã°ãã·ã«ã·ã«ã
Lv.2äºä»¶ããã³äœããšããããšäž¡æ¹ãšããèµ·ããããšããããšã¯èª€ãã§ãã fact3: ãé§äœ¿åºæ¥ãããšãçããããšããããšã¯æãç«ã€ fact4: ãããã·ã«ã·ã«ã
Lv.2äºä»¶ãèµ·ãããæŽã«äœããšããããšãèµ·ããããšããããšã¯æ£ãããªããšããã°æ©ãæããšããããšã¯çããªã fact5: ããæåããšããããšã¯çããªããšãããšã·ãã·ã®Lv.48äºä»¶ããããã¯è¿·ãé£ããšããããšãèµ·ãã ; $hypothesis$ = çã¿é£ããšããããš... | __UNKNOWN__ | $facts$ = fact1: ¬{B} -> ({HA} & {A}) fact2: ¬{E} -> ¬({D} & {C}) fact3: {DS} fact4: ¬({D} & {C}) -> ¬{B} fact5: ¬{H} -> ({F} v {G}) ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããããã¢ã³ã¹ã¿ãŒã¯èµ€ãããšããããšã¯èª€ãã§ãã | ¬((x): {A}x) | fact1: ãããããã¢ã³ã¹ã¿ãŒã¯ã©ã§ããããšããããšã¯çå®ã fact2: ããããã¢ã³ã¹ã¿ãŒã¯åç¡ã fact3: ãããããã¢ã³ã¹ã¿ãŒã¯è¡ãæãããšããããšã¯çå®ã fact4: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èµ€ã fact5: äœããã®ã¢ã³ã¹ã¿ãŒã¯èµ€ããªããªããããã¯ç¶ãæããªããæž©ãããªãããšããããšã¯æãç«ããªã fact6: ããããããã¢ã³ã¹ã¿ãŒã¯ç¶ãæããªããŠããã¯æž©ãããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªããªãç¶ãæã fact7: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯åºŠãé£ã fact8: ããããã¢ã³ã¹ã¿ãŒã¯éå±
ãã fact9: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯å¥³ããã fact10: å¿ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯èµ€ããªããããŸãã«é貞... | fact1: (x): {CC}x fact2: (x): {IR}x fact3: (x): {L}x fact4: (x): {A}x fact5: (x): ¬{A}x -> ¬(¬{C}x & ¬{B}x) fact6: (x): ¬(¬{C}x & ¬{B}x) -> {C}x fact7: (x): {HB}x fact8: (x): {BD}x fact9: (x): {DB}x fact10: (x): ¬{E}x -> (¬{A}x & ¬{D}x) | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ç¶ãæã | (x): {C}x | [
"fact13 -> int1: ããããã®ãŽãªãŽã¡ã
Lv.64ã¯ç¶ãæããªããŠæž©ãããªãããšããããšã¯èª€ã£ãŠãããšããã°ãã®ãŽãªãŽã¡ã
Lv.64ã¯ç¶ãæã; fact11 -> int2: ããããã®ãŽãªãŽã¡ã
Lv.64ã¯èµ€ããšããããšã¯ãªããšãããããã®ãŽãªãŽã¡ã
Lv.64ã¯ç¶ãæããªããæž©ãããªãããšããããšã¯åœã§ãã; fact12 -> int3: ãã®ãŽãªãŽã¡ã
Lv.64ãå¿ããšããããšã¯ãªããšããããã®ãŽãªãŽã¡ã
Lv.64ã¯èµ€ããšããããšã¯ãªããããã«é貞ãããªã;"
] | 7 | 1 | 1 | 0 | 0 | 9 | 0 | 9 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããããã¢ã³ã¹ã¿ãŒã¯ã©ã§ããããšããããšã¯çå®ã fact2: ããããã¢ã³ã¹ã¿ãŒã¯åç¡ã fact3: ãããããã¢ã³ã¹ã¿ãŒã¯è¡ãæãããšããããšã¯çå®ã fact4: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èµ€ã fact5: äœããã®ã¢ã³ã¹ã¿ãŒã¯èµ€ããªããªããããã¯ç¶ãæããªããæž©ãããªãããšããããšã¯æãç«ããªã fact6: ããããããã¢ã³ã¹ã¿ãŒã¯ç¶ãæããªããŠããã¯æž©ãããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªããªãç¶ãæã fact7: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯åºŠãé£ã fact8: ããããã¢ã³ã¹ã¿ãŒã¯éå±
ãã fact9: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯å¥³ããã fact10: å¿ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯èµ€... | fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {CC}x fact2: (x): {IR}x fact3: (x): {L}x fact4: (x): {A}x fact5: (x): ¬{A}x -> ¬(¬{C}x & ¬{B}x) fact6: (x): ¬(¬{C}x & ¬{B}x) -> {C}x fact7: (x): {HB}x fact8: (x): {BD}x fact9: (x): {DB}x fact10: (x): ¬{E}x -> (¬{A}x & ¬{D}x) ; $hypothesis$ = ¬((x): {A}x) ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ |
0.3 | 眮ãæããšããããšã¯èµ·ããªã | ¬{B} | fact1: 芪ããããšããããšã¯ããœã¡ããœãLv.92äºä»¶ã¯èµ·ãããªããã·ãã·ãLv.38äºä»¶ã¯çºçããªãããšããããšã®åå ãšãªã fact2: 眮ãæããšããããšã¯ã¿ã«ã¿ã«Lv.87äºä»¶ã«é»æ¢ããã fact3: ãæãããããšããããšã¯èµ·ããªããæãäžããããšãèµ·ããããšããããšã¯ééãã§ãããšããã°å¹
åºããšããããšã¯èµ·ããªã fact4: ãã¿ã«ã¿ã«Lv.87äºä»¶ãšé»ã£ãœããšããããšãèµ·ããããšããããšã¯èª€ãã fact5: ãããã¿ã«ã¿ã«Lv.87äºä»¶ã¯çºçããªããŠé»ã£ãœããšããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªããšããã°çœ®ãæããšããããšã¯èµ·ããªã fact6: ããä»®ã«ãŸã¡ããŸã«ã
Lv.44äºä»¶ãèµ·ããã°ãæãããã... | fact1: {N} -> (¬{L} & ¬{M}) fact2: {AA} -> ¬{B} fact3: ¬(¬{G} v {F}) -> ¬{E} fact4: ¬({AA} & {AB}) fact5: ¬(¬{AA} & {AB}) -> ¬{B} fact6: {H} -> ¬(¬{G} v {F}) fact7: ¬(¬{IG} & {CT}) fact8: ¬(¬{AA} & {AB}) fact9: ¬{L} -> ({K} & ¬{J}) fact10: {C} -> ({A} v ¬{B}) fact11: ¬{J} -> ({I} & {H}) fact12: ¬{C} -> (¬{A} & {B}) fac... | [
"fact5 & fact8 -> hypothesis;"
] | [
"fact5 & fact8 -> hypothesis;"
] | 浞ããããšã¯çããªã | ¬{P} | [] | 6 | 1 | 1 | 1 | 1 | 11 | 0 | 11 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: 芪ããããšããããšã¯ããœã¡ããœãLv.92äºä»¶ã¯èµ·ãããªããã·ãã·ãLv.38äºä»¶ã¯çºçããªãããšããããšã®åå ãšãªã fact2: 眮ãæããšããããšã¯ã¿ã«ã¿ã«Lv.87äºä»¶ã«é»æ¢ããã fact3: ãæãããããšããããšã¯èµ·ããªããæãäžããããšãèµ·ããããšããããšã¯ééãã§ãããšããã°å¹
åºããšããããšã¯èµ·ããªã fact4: ãã¿ã«ã¿ã«Lv.87äºä»¶ãšé»ã£ãœããšããããšãèµ·ããããšããããšã¯èª€ãã fact5: ãããã¿ã«ã¿ã«Lv.87äºä»¶ã¯çºçããªããŠé»ã£ãœããšããããšãèµ·ããããšããããšã¯äºå®ãšç°ãªããšããã°çœ®ãæããšããããšã¯èµ·ããªã fact6: ããä»®ã«ãŸã¡ããŸã«ã
Lv.44äºä»¶ã... | fact5 & fact8 -> hypothesis; __PROVED__ | $facts$ = fact1: {N} -> (¬{L} & ¬{M}) fact2: {AA} -> ¬{B} fact3: ¬(¬{G} v {F}) -> ¬{E} fact4: ¬({AA} & {AB}) fact5: ¬(¬{AA} & {AB}) -> ¬{B} fact6: {H} -> ¬(¬{G} v {F}) fact7: ¬(¬{IG} & {CT}) fact8: ¬(¬{AA} & {AB}) fact9: ¬{L} -> ({K} & ¬{J}) fact10: {C} -> ({A} v ¬{B}) fact11: ¬{J} -> ({I} & {H}) fact12: ¬{C} -> (¬{A} ... | fact5 & fact8 -> hypothesis; __PROVED__ |
0.3 | ããããããã®ãœããœã¡ãLv.80ã¯ç±ãæããªããªãããã®ãœããœã¡ãLv.80ã¯èŸæ°èãäžæ¹ã§ããã¯å³ã
ãããªãããšããããšã¯ééã£ãŠããããšããããšã¯æãç«ã€ããšããããšã¯ééãã§ãã | ¬(¬{A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa})) | fact1: ãããä»®ã«ããã¢ã³ã¹ã¿ãŒã¯ç±ãæããšããããšã¯ãªããšããã°ãããã¯èŸæ°èããããã«å³ã
ãããªãããšããããšã¯èª€ã£ãŠããããšããããšã¯æãç«ã€ fact2: ããä»®ã«ãã®ãã¡ããã«ãLv.33ã¯æ¬å¶ããªããªãã°ããã®ãã¡ããã«ãLv.33ã¯å³ã
ããããã®äžæž
ãããšããããšã¯æãç«ããªã fact3: ãããã®ãœããœã¡ãLv.80ã¯å³ã
ãããšããããšã¯ãªããšãããšããã®ãœããœã¡ãLv.80ã¯å¥ããèœã¡ãããã©é²èŠããªãããšããããšã¯åœã§ãã fact4: ã¡ã£ãããªãã¢ã³ã¹ã¿ãŒã¯å
ãåãå§ããããããç©æããªã fact5: ããä»®ã«ããã¢ã³ã¹ã¿ãŒã¯ç±ãæããªããšãããšãããã¯èŸæ°èããŠãã€å³ã
ããããšããããšã¯æãç«ããª... | fact1: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact2: ¬{GO}{dj} -> ¬({AB}{dj} & {FR}{dj}) fact3: ¬{AB}{aa} -> ¬({II}{aa} & ¬{AO}{aa}) fact4: (x): ¬{EN}x -> ({DU}x & ¬{GN}x) fact5: (x): ¬{A}x -> ¬({AA}x & {AB}x) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããä»®ã«ããã¢ã³ã¹ã¿ãŒã¯ç±ãæããšããããšã¯ãªããšããã°ãããã¯èŸæ°èããããã«å³ã
ãããªãããšããããšã¯èª€ã£ãŠããããšããããšã¯æãç«ã€ fact2: ããä»®ã«ãã®ãã¡ããã«ãLv.33ã¯æ¬å¶ããªããªãã°ããã®ãã¡ããã«ãLv.33ã¯å³ã
ããããã®äžæž
ãããšããããšã¯æãç«ããªã fact3: ãããã®ãœããœã¡ãLv.80ã¯å³ã
ãããšããããšã¯ãªããšãããšããã®ãœããœã¡ãLv.80ã¯å¥ããèœã¡ãããã©é²èŠããªãããšããããšã¯åœã§ãã fact4: ã¡ã£ãããªãã¢ã³ã¹ã¿ãŒã¯å
ãåãå§ããããããç©æããªã fact5: ããä»®ã«ããã¢ã³ã¹ã¿ãŒã¯ç±ãæããªããšãããšãããã¯èŸæ°èããŠãã€å³ã
ããããš... | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{A}x -> ¬({AA}x & ¬{AB}x) fact2: ¬{GO}{dj} -> ¬({AB}{dj} & {FR}{dj}) fact3: ¬{AB}{aa} -> ¬({II}{aa} & ¬{AO}{aa}) fact4: (x): ¬{EN}x -> ({DU}x & ¬{GN}x) fact5: (x): ¬{A}x -> ¬({AA}x & {AB}x) ; $hypothesis$ = ¬(¬{A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa})) ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãã®ããLv.99ã¯å¿ å®å¿ å®ãããªããŠåºå¥ãæããšããããšã¯ãªãããšããããšã¯åã§ãã | ¬(¬{AA}{a} & ¬{AB}{a}) | fact1: ããã¢ã³ã¹ã¿ãŒã¯çã ããªããšããã°ãããã¯äœ¿ãèŸããã©é¿ãé£ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ãã®ãã®ããLv.99ã¯å¿ å®å¿ å®ãããšããããšã¯ãªãããŸãããã¯åºå¥ãæããªã fact3: ãã®ãã®ããLv.99ã¯å¿ å®å¿ å®ãããªã fact4: ãã®ãŽããŽã¡ã
Lv.13ã¯çšé ããªããŠåºå¥ãæããªã fact5: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯äœ¿ãèŸãããã©ããã¯èãèŸããªãããšããããšã¯ééã£ãŠãããšããã°ãèãèŸãããšããããšã¯æãç«ã€ fact6: ãããã®ã·ãªã·ãLv.5ã¯èãèŸããšããã°ããã®ãã®ããLv.99ã¯å¿ å®å¿ å®ãããªããŠåºå¥ãæããªãããšããããšã¯äºå®ãšç°ãªã fact7: ãã®... | fact1: (x): ¬{D}x -> ¬({B}x & ¬{C}x) fact2: (¬{AA}{a} & ¬{AB}{a}) fact3: ¬{AA}{a} fact4: (¬{CU}{ir} & ¬{AB}{ir}) fact5: (x): ¬({B}x & ¬{A}x) -> {A}x fact6: {A}{b} -> ¬(¬{AA}{a} & ¬{AB}{a}) fact7: (¬{BU}{a} & ¬{GG}{a}) fact8: (x): ¬({B}x & ¬{C}x) -> ¬{B}x fact9: (¬{AA}{ab} & ¬{GS}{ab}) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ããã®ãã®ããLv.99ã¯å¿ å®å¿ å®ãããªããŠåºå¥ãæããšããããšã¯ãªãããšããããšã¯åã§ãã | ¬(¬{AA}{a} & ¬{AB}{a}) | [
"fact12 -> int1: ãããããã®ã·ãªã·ãLv.5ã¯äœ¿ãèŸããã©ããã¯èãèŸããªãããšããããšã¯æãç«ããªããªãã°ãã®ã·ãªã·ãLv.5ã¯èãèŸã; fact13 -> int2: ä»®ã«ããã®ãœããœã¡ã
Lv.98ã¯äœ¿ãèŸãããããããã¯é¿ãé£ããšããããšã¯ãªãããšããããšã¯ééã£ãŠãããšããããããã¯äœ¿ãèŸããªãããšããããšã¯äºå®ã ; fact10 -> int3: ãã®ãœããœã¡ã
Lv.98ã¯çã ããªããªããããã¯äœ¿ãèŸããŠãŸãé¿ãé£ããªãããšããããšã¯äºå®ãšç°ãªã;"
] | 7 | 1 | 1 | 0 | 0 | 8 | 0 | 8 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããã¢ã³ã¹ã¿ãŒã¯çã ããªããšããã°ãããã¯äœ¿ãèŸããã©é¿ãé£ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ãã®ãã®ããLv.99ã¯å¿ å®å¿ å®ãããšããããšã¯ãªãããŸãããã¯åºå¥ãæããªã fact3: ãã®ãã®ããLv.99ã¯å¿ å®å¿ å®ãããªã fact4: ãã®ãŽããŽã¡ã
Lv.13ã¯çšé ããªããŠåºå¥ãæããªã fact5: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯äœ¿ãèŸãããã©ããã¯èãèŸããªãããšããããšã¯ééã£ãŠãããšããã°ãèãèŸãããšããããšã¯æãç«ã€ fact6: ãããã®ã·ãªã·ãLv.5ã¯èãèŸããšããã°ããã®ãã®ããLv.99ã¯å¿ å®å¿ å®ãããªããŠåºå¥ãæããªãããšããããšã¯äºå®ãšç°ãªã... | fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{D}x -> ¬({B}x & ¬{C}x) fact2: (¬{AA}{a} & ¬{AB}{a}) fact3: ¬{AA}{a} fact4: (¬{CU}{ir} & ¬{AB}{ir}) fact5: (x): ¬({B}x & ¬{A}x) -> {A}x fact6: {A}{b} -> ¬(¬{AA}{a} & ¬{AB}{a}) fact7: (¬{BU}{a} & ¬{GG}{a}) fact8: (x): ¬({B}x & ¬{C}x) -> ¬{B}x fact9: (¬{AA}{ab} & ¬{GS}{ab}) ; $hypothesis$ = ¬(¬{AA}... | fact2 -> hypothesis; __DISPROVED__ |
0.3 | ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äœãŸãªããåå¿ãæãããšããããšã¯äºå®ãšç°ãªã | ¬((x): (¬{AA}x & {AB}x)) | fact1: ããä»®ã«éªæ·±ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒãå®ãããªããªãã°æ¢ãæããªã fact2: ããããã¢ã³ã¹ã¿ãŒã¯æšããªã | fact1: (x): (¬{C}x & ¬{B}x) -> ¬{A}x fact2: (x): ¬{D}x | [] | [] | å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯å€ªããªãäžæ¹ã§å¯©å€ãã | (x): (¬{R}x & {HP}x) | [
"fact4 -> int1: ããä»®ã«ãã®ãŸã«ãŸãLv.5ãéªæ·±ããªããå®ãããªããšããããã®ãŸã«ãŸãLv.5ã¯æ¢ãæããªã; fact3 -> int2: ãã®ãŸã«ãŸãLv.5ã¯æšããªã;"
] | 5 | 1 | 1 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«éªæ·±ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒãå®ãããªããªãã°æ¢ãæããªã fact2: ããããã¢ã³ã¹ã¿ãŒã¯æšããªã ; $hypothesis$ = ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äœãŸãªããåå¿ãæãããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): (¬{C}x & ¬{B}x) -> ¬{A}x fact2: (x): ¬{D}x ; $hypothesis$ = ¬((x): (¬{AA}x & {AB}x)) ; $proof$ = | __UNKNOWN__ |
0.3 | æã¡é£ããšããããšã¯çããªã | ¬{A} | fact1: æå³ãããšããããšãçºçãã fact2: ãå
±æãåãããšãèµ·ããããšããããšã¯æãç«ã€ fact3: æµ®ãæããšããããšããŸãã¯å€ããšããããšãäž¡æ¹ã¯ãããããªããšããããšã¯èµ·ããªãããšããããšã«èªçºããã fact4: æã¡é£ããšããããšãèµ·ãã fact5: ä»®ã«ãç²ã£ãããšããããšã¯èµ·ãããªãããã¡ãããLv.65äºä»¶ãçºçããããšããããšã¯æãç«ããªããªãã°ãã¡ãããLv.65äºä»¶ã¯çºçããªã fact6: ãããç²ã£ãããšããããšã§ã¯ãªãããããªããšããããšãçºçããããšããããšã¯ééã£ãŠãããšããã°ãããããªããšããããšã¯çºçããªãããšããããšã¯äºå®ã fact7: ããä»®ã«æµ®ãæããšããããšã¯çºçããª... | fact1: {JC} fact2: {AL} fact3: ¬{D} -> ({C} v {B}) fact4: {A} fact5: ¬(¬{F} & {E}) -> ¬{E} fact6: ¬(¬{F} & {D}) -> ¬{D} fact7: ¬{C} -> ({B} v {A}) fact8: ¬(¬{H} & ¬{G}) -> ¬{E} fact9: {G} -> ¬(¬{F} & {E}) fact10: ¬{E} -> ¬(¬{F} & {D}) fact11: ¬{E} -> (¬{C} & ¬{D}) fact12: {EG} | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | ã¿ãã¿ãLv.34äºä»¶ãèµ·ãã | {GB} | [] | 9 | 1 | 1 | 0 | 0 | 11 | 0 | 11 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: æå³ãããšããããšãçºçãã fact2: ãå
±æãåãããšãèµ·ããããšããããšã¯æãç«ã€ fact3: æµ®ãæããšããããšããŸãã¯å€ããšããããšãäž¡æ¹ã¯ãããããªããšããããšã¯èµ·ããªãããšããããšã«èªçºããã fact4: æã¡é£ããšããããšãèµ·ãã fact5: ä»®ã«ãç²ã£ãããšããããšã¯èµ·ãããªãããã¡ãããLv.65äºä»¶ãçºçããããšããããšã¯æãç«ããªããªãã°ãã¡ãããLv.65äºä»¶ã¯çºçããªã fact6: ãããç²ã£ãããšããããšã§ã¯ãªãããããªããšããããšãçºçããããšããããšã¯ééã£ãŠãããšããã°ãããããªããšããããšã¯çºçããªãããšããããšã¯äºå®ã fact7: ããä»®ã«æµ®ãæã... | fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {JC} fact2: {AL} fact3: ¬{D} -> ({C} v {B}) fact4: {A} fact5: ¬(¬{F} & {E}) -> ¬{E} fact6: ¬(¬{F} & {D}) -> ¬{D} fact7: ¬{C} -> ({B} v {A}) fact8: ¬(¬{H} & ¬{G}) -> ¬{E} fact9: {G} -> ¬(¬{F} & {E}) fact10: ¬{E} -> ¬(¬{F} & {D}) fact11: ¬{E} -> (¬{C} & ¬{D}) fact12: {EG} ; $hypothesis$ = ¬{A} ; $proof$ ... | fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã«ã
ãœãLv.71ã¯æ¿¡ãã | {B}{a} | fact1: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãè«é£ãããšããã°ä¹
ãããªã fact2: ããããã®ã¿ã«ãã¿ã«ãLv.99ãå°ãªããªããŠå¿çްããšããããšã¯ãªããšããã°ãã®ã¿ãã¿ãLv.99ã¯å¿çްããªã fact3: ä»®ã«ããã®ãœã«ã
ãœãLv.71ã¯æããªããæåŸ
ãé£ããšããããšã¯ãªãããšããããšã¯æãç«ããªããªãã°ãã®ãœã«ã
ãœãLv.71ã¯æ¿¡ããªã fact4: ããã®ãœã«ã
ãœãLv.71ã¯æããªããããŸãã«ããã¯æåŸ
ãé£ããªãããšããããšã¯æãç«ããªã fact5: ããä»®ã«ãã®ã¿ãã¿ãLv.99ãè«é£ããªããåã°ãããªãã°ãã®ãœã«ã
ãœãLv.71ã¯è«é£ãã fact6: å¿çްããªããŠåã°ãããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact7: ããã®... | fact1: (x): {D}x -> ¬{C}x fact2: (¬{H}{c} & ¬{F}{c}) -> ¬{F}{b} fact3: ¬(¬{AA}{a} & ¬{AB}{a}) -> ¬{B}{a} fact4: ¬(¬{AA}{a} & ¬{AB}{a}) fact5: (¬{D}{b} & {E}{b}) -> {D}{a} fact6: (x): ¬(¬{F}x & ¬{E}x) fact7: ¬(¬{AA}{a} & ¬{CD}{a}) fact8: (x): ¬{C}x -> ({A}x & {B}x) fact9: (x): {D}x -> {C}x fact10: {AA}{im} -> ¬{GB}{im} ... | [
"fact3 & fact4 -> hypothesis;"
] | [
"fact3 & fact4 -> hypothesis;"
] | ãã®ãœã«ã
ãœãLv.71ã¯æ¿¡ãã | {B}{a} | [
"fact15 -> int1: ããããã®ãœã«ã
ãœãLv.71ãä¹
ãããªããšããããã®ãœã«ã
ãœãLv.71ã¯åœ¢æãæããããã¯æ¿¡ãã; fact17 -> int2: ãããã®ãœã«ã
ãœãLv.71ãè«é£ãããšããã°ãã®ãœã«ã
ãœãLv.71ã¯ä¹
ãããªã; fact16 -> int3: ä»®ã«ãã®ã¿ãã¿ãLv.99ãå¿çްããªããšããããã®ã¿ãã¿ãLv.99ã¯è«é£ããªãããã©ããã¯åã°ãã;"
] | 7 | 1 | 1 | 1 | 1 | 12 | 0 | 12 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãè«é£ãããšããã°ä¹
ãããªã fact2: ããããã®ã¿ã«ãã¿ã«ãLv.99ãå°ãªããªããŠå¿çްããšããããšã¯ãªããšããã°ãã®ã¿ãã¿ãLv.99ã¯å¿çްããªã fact3: ä»®ã«ããã®ãœã«ã
ãœãLv.71ã¯æããªããæåŸ
ãé£ããšããããšã¯ãªãããšããããšã¯æãç«ããªããªãã°ãã®ãœã«ã
ãœãLv.71ã¯æ¿¡ããªã fact4: ããã®ãœã«ã
ãœãLv.71ã¯æããªããããŸãã«ããã¯æåŸ
ãé£ããªãããšããããšã¯æãç«ããªã fact5: ããä»®ã«ãã®ã¿ãã¿ãLv.99ãè«é£ããªããåã°ãããªãã°ãã®ãœã«ã
ãœãLv.71ã¯è«é£ãã fact6: å¿çްããªããŠåã°ãããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã ... | fact3 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {D}x -> ¬{C}x fact2: (¬{H}{c} & ¬{F}{c}) -> ¬{F}{b} fact3: ¬(¬{AA}{a} & ¬{AB}{a}) -> ¬{B}{a} fact4: ¬(¬{AA}{a} & ¬{AB}{a}) fact5: (¬{D}{b} & {E}{b}) -> {D}{a} fact6: (x): ¬(¬{F}x & ¬{E}x) fact7: ¬(¬{AA}{a} & ¬{CD}{a}) fact8: (x): ¬{C}x -> ({A}x & {B}x) fact9: (x): {D}x -> {C}x fact10: {AA}{im} -> ... | fact3 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãããä»®ã«ããã®ã·ã¡ã
ã·ã«Lv.77ã¯ã³ã³ãããŒã«ãæããããŸãã«ããã¯ãã°ãããããšããããšã¯æãç«ããªããšããããã®ã·ã¡ã
ã·ã«Lv.77ã¯åŽåŽããªãããšããããšã¯æãç«ããªã | ¬(¬({AA}{aa} & {AB}{aa}) -> ¬{B}{aa}) | fact1: ãããã®ã·ã¡ã
ã·ã«Lv.77ãåŽåŽããªããšããã°ãã®ã·ã¡ã
ã·ã«Lv.77ã¯åè³ããªã fact2: ããããã®ãŽããŽãLv.72ãåé¢ããªããšãããšãã®ãŽããŽãLv.72ã¯ãã¬ã³ãããªã fact3: ãã°ããããªãã¢ã³ã¹ã¿ãŒã¯åŽåŽããšããããšã¯ãªã fact4: ãã®ã·ã¡ã
ã·ã«Lv.77ãã³ã³ãããŒã«ãæãããã°ããããªããã®ã·ã¡ã
ã·ã«Lv.77ã¯åŽåŽããªã fact5: ä»®ã«ããšããã¢ã³ã¹ã¿ãŒã¯ã³ã³ãããŒã«ãæããŠãã°ãããããšããããšã¯æãç«ããªããšãããšåŽåŽã fact6: ãããããã®ã·ã¡ã
ã·ã«Lv.77ã¯æ©ããåŽåŽãããšããããšã¯äºå®ã§ãªããšããã°ç¢ºãããããªã fact7: ããããã®ãŽããŽã«ãLv.30... | fact1: ¬{B}{aa} -> ¬{DG}{aa} fact2: ¬{EJ}{je} -> ¬{CC}{je} fact3: (x): ¬{AB}x -> ¬{B}x fact4: ({AA}{aa} & {AB}{aa}) -> ¬{B}{aa} fact5: (x): ¬({AA}x & {AB}x) -> {B}x fact6: ¬({T}{aa} & {B}{aa}) -> ¬{FU}{aa} fact7: ¬({EI}{ih} & {JA}{ih}) -> ¬{GK}{ih} fact8: ¬({JG}{aa} & {HF}{aa}) -> ¬{FF}{aa} fact9: ¬({AA}{aa} & {AB}{aa}... | [] | [] | null | null | [] | null | 1 | 1 | null | null | 12 | 0 | 12 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããã®ã·ã¡ã
ã·ã«Lv.77ãåŽåŽããªããšããã°ãã®ã·ã¡ã
ã·ã«Lv.77ã¯åè³ããªã fact2: ããããã®ãŽããŽãLv.72ãåé¢ããªããšãããšãã®ãŽããŽãLv.72ã¯ãã¬ã³ãããªã fact3: ãã°ããããªãã¢ã³ã¹ã¿ãŒã¯åŽåŽããšããããšã¯ãªã fact4: ãã®ã·ã¡ã
ã·ã«Lv.77ãã³ã³ãããŒã«ãæãããã°ããããªããã®ã·ã¡ã
ã·ã«Lv.77ã¯åŽåŽããªã fact5: ä»®ã«ããšããã¢ã³ã¹ã¿ãŒã¯ã³ã³ãããŒã«ãæããŠãã°ãããããšããããšã¯æãç«ããªããšãããšåŽåŽã fact6: ãããããã®ã·ã¡ã
ã·ã«Lv.77ã¯æ©ããåŽåŽãããšããããšã¯äºå®ã§ãªããšããã°ç¢ºãããããªã fact7: ããããã®... | __UNKNOWN__ | $facts$ = fact1: ¬{B}{aa} -> ¬{DG}{aa} fact2: ¬{EJ}{je} -> ¬{CC}{je} fact3: (x): ¬{AB}x -> ¬{B}x fact4: ({AA}{aa} & {AB}{aa}) -> ¬{B}{aa} fact5: (x): ¬({AA}x & {AB}x) -> {B}x fact6: ¬({T}{aa} & {B}{aa}) -> ¬{FU}{aa} fact7: ¬({EI}{ih} & {JA}{ih}) -> ¬{GK}{ih} fact8: ¬({JG}{aa} & {HF}{aa}) -> ¬{FF}{aa} fact9: ¬({AA}{aa} ... | __UNKNOWN__ |
0.3 | ããã¢ã³ã¹ã¿ãŒã¯åãæã | (Ex): {A}x | fact1: ãèŠã
ãããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãæ®ãæ³¥ããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãããã®ã·ãã·ã«ãLv.95ã¯èª¿åãé£ããšããã°ããã®ã·ãã·ã«ãLv.95ã¯å£²ãä»ããªãã空æãããããšããããšã¯åã fact4: ããšããã¢ã³ã¹ã¿ãŒã¯éè¿ãããããã«ããã¯æ°åŒ±ãããšããããšã¯æãç«ããªããšããã°ããã¯éè¿ããªã fact5: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯éè¿ããªããªãã°ãåºè¡ãæããªãããããåãæãããšããããšã¯æãç«ããªã fact6: ããã¢ã³ã¹ã¿ãŒã¯èãå¯ã fact7: ãæ°Žã£ãœããã¢ã³ã¹ã¿ãŒã¯ãã fact8: ããã®ã·ãã·ã«ãLv.95ã¯å°é«ãããšããããšã¯æãç«ãŠã°ãã®ã·ãã·ã«ãLv.95ã¯å¿ãŸå¿ãŸ... | fact1: (Ex): {EQ}x fact2: (Ex): {JI}x fact3: {I}{b} -> ¬(¬{H}{b} & {G}{b}) fact4: (x): ¬({C}x & {E}x) -> ¬{C}x fact5: (x): ¬{C}x -> ¬(¬{B}x & {A}x) fact6: (Ex): {DT}x fact7: (Ex): {CE}x fact8: {K}{b} -> {J}{b} fact9: ¬(¬{H}{b} & {G}{b}) -> ¬{G}{b} fact10: (Ex): {IH}x fact11: (x): ¬({B}x & ¬{AL}x) -> {AL}x fact12: (x): ... | [] | [] | ããå·§ãããšããããšã¯äºå®ãªãã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): {HB}x | [
"fact26 -> int1: ä»®ã«ããã®ãœããœãLv.15ã¯åºè¡ãæããªãããããåãæãããšããããšã¯æãç«ããªããšãããå·§ã; fact22 -> int2: ããä»®ã«ãã®ãœããœãLv.15ã¯éè¿ããªããªããããã¯åºè¡ãæããªãããã€ããã¯åãæãããšããããšã¯ééãã ; fact28 -> int3: ããããã®ãœããœãLv.15ã¯éè¿ããããã€æ°åŒ±ãããšããããšã¯èª€ã£ãŠãããšãããšãã®ãœããœãLv.15ã¯éè¿ãããšããããšã¯ãªã; fact25 -> int4: ããä»®ã«ãã®ã·ãã·ã«ãLv.95ã空æããããªããšãããšããã¯åžåããé£ããªããã°ã©ãã»ããªã; fact23 -> int5: ä»®ã«ãã®ã·ãã·ã«ãLv... | 11 | 1 | 1 | null | null | 18 | 0 | 18 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ãèŠã
ãããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãæ®ãæ³¥ããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãããã®ã·ãã·ã«ãLv.95ã¯èª¿åãé£ããšããã°ããã®ã·ãã·ã«ãLv.95ã¯å£²ãä»ããªãã空æãããããšããããšã¯åã fact4: ããšããã¢ã³ã¹ã¿ãŒã¯éè¿ãããããã«ããã¯æ°åŒ±ãããšããããšã¯æãç«ããªããšããã°ããã¯éè¿ããªã fact5: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯éè¿ããªããªãã°ãåºè¡ãæããªãããããåãæãããšããããšã¯æãç«ããªã fact6: ããã¢ã³ã¹ã¿ãŒã¯èãå¯ã fact7: ãæ°Žã£ãœããã¢ã³ã¹ã¿ãŒã¯ãã fact8: ããã®ã·ãã·ã«ãLv.95ã¯å°é«ãããšããããšã¯æãç«ãŠã°ãã®ã·ãã·ã«ã... | __UNKNOWN__ | $facts$ = fact1: (Ex): {EQ}x fact2: (Ex): {JI}x fact3: {I}{b} -> ¬(¬{H}{b} & {G}{b}) fact4: (x): ¬({C}x & {E}x) -> ¬{C}x fact5: (x): ¬{C}x -> ¬(¬{B}x & {A}x) fact6: (Ex): {DT}x fact7: (Ex): {CE}x fact8: {K}{b} -> {J}{b} fact9: ¬(¬{H}{b} & {G}{b}) -> ¬{G}{b} fact10: (Ex): {IH}x fact11: (x): ¬({B}x & ¬{AL}x) -> {AL}x fac... | __UNKNOWN__ |
0.3 | ãã®ãŽããŽãLv.69ã¯èµ·ãé£ã | {B}{b} | fact1: ããã®ãœããœã¡ã
Lv.18ã¯çŸãããªãããšããããšã¯æ£ãã fact2: ããã®ã¿ãã¿ã¡ã
Lv.83ã¯æããªãããããã¯åããªãããããã¯ã©ã¡ããã ããšããããšã¯ééã£ãŠããã°ãã®ã·ã«ã
ã·ãLv.90ã¯çãæ·±ããªã fact3: ããããã®ãŸããŸãLv.49ãèµ·ãé£ããšããã°ãã®ãŽããŽãLv.69ã¯éã£ãœã fact4: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯çãæ·±ããªããªãã°ãããã¯æ ãããæ¢ãç¡ãããšããããšã¯ééãã fact5: éã£ãœããªãã¢ã³ã¹ã¿ãŒã¯æããªãäžæ¹ã§èµ·ãé£ã fact6: ãã®ãŽããŽãLv.69ã¯éã£ãœã fact7: ããã®ã¿ãã¿ã¡ã
Lv.83ã¯æããªãããããã¯åããšããããšã¯ãªããã©ã¡ããã§ããããšã... | fact1: ¬{K}{c} fact2: ¬(¬{M}{f} v ¬{L}{f}) -> ¬{J}{e} fact3: {B}{a} -> {A}{b} fact4: (x): ¬{J}x -> ¬({I}x & {G}x) fact5: (x): ¬{A}x -> (¬{C}x & {B}x) fact6: {A}{b} fact7: ¬(¬{M}{f} v ¬{L}{f}) fact8: {B}{iq} fact9: (x): ¬{K}x -> ¬({H}x & {E}x) fact10: (¬{C}{a} & {B}{a}) -> ¬{B}{b} fact11: {A}{br} fact12: ¬({I}{e} & {G}{... | [] | [] | ãã®ãŽããŽãLv.69ã¯èµ·ãé£ããªã | ¬{B}{b} | [
"fact23 -> int1: ããä»®ã«ãã®ãŸããŸãLv.49ãéã£ãœããªããšãããšããã¯æããªããŠããã¯èµ·ãé£ã; fact26 -> int2: ãããã®ãœããœã¡ã
Lv.18ã¯ãŸã©ãã£ããããããã¯å°è±¡æ·±ãããšããããšã¯åœã ãšããã°ããã®ãœããœã¡ã
Lv.18ã¯å°è±¡æ·±ããªãããšããããšã¯ç¢ºãã§ããããšããããšã¯ééãã§ãªã; fact22 -> int3: ããããã®ãœããœã¡ã
Lv.18ã¯çŸãããªããšããã°ããã®ãœããœã¡ã
Lv.18ã¯ãŸã©ãã£ããããããŸãã«ããã¯å°è±¡æ·±ãããšããããšã¯èª€ãã§ãã; int3 & fact24 -> int4: ããã®ãœããœã¡ã
Lv.18ã¯ãŸã©ãã£ããããããã«ããã¯å°è±¡æ·±ãããšããããšã¯... | 10 | 1 | 1 | null | null | 16 | 0 | 16 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããã®ãœããœã¡ã
Lv.18ã¯çŸãããªãããšããããšã¯æ£ãã fact2: ããã®ã¿ãã¿ã¡ã
Lv.83ã¯æããªãããããã¯åããªãããããã¯ã©ã¡ããã ããšããããšã¯ééã£ãŠããã°ãã®ã·ã«ã
ã·ãLv.90ã¯çãæ·±ããªã fact3: ããããã®ãŸããŸãLv.49ãèµ·ãé£ããšããã°ãã®ãŽããŽãLv.69ã¯éã£ãœã fact4: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯çãæ·±ããªããªãã°ãããã¯æ ãããæ¢ãç¡ãããšããããšã¯ééãã fact5: éã£ãœããªãã¢ã³ã¹ã¿ãŒã¯æããªãäžæ¹ã§èµ·ãé£ã fact6: ãã®ãŽããŽãLv.69ã¯éã£ãœã fact7: ããã®ã¿ãã¿ã¡ã
Lv.83ã¯æããªãããããã¯åããšããããšã¯ãªãã... | __UNKNOWN__ | $facts$ = fact1: ¬{K}{c} fact2: ¬(¬{M}{f} v ¬{L}{f}) -> ¬{J}{e} fact3: {B}{a} -> {A}{b} fact4: (x): ¬{J}x -> ¬({I}x & {G}x) fact5: (x): ¬{A}x -> (¬{C}x & {B}x) fact6: {A}{b} fact7: ¬(¬{M}{f} v ¬{L}{f}) fact8: {B}{iq} fact9: (x): ¬{K}x -> ¬({H}x & {E}x) fact10: (¬{C}{a} & {B}{a}) -> ¬{B}{b} fact11: {A}{br} fact12: ¬({I}... | __UNKNOWN__ |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.