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LogiNumBENCH

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7. It can be said that Grace likes William.
Rule:
0. X is associated with the value property generous of y plus 1 for generous whenever the relationship argues defines a connection between x and y.
1. Under rough, x possesses 1 is a foregone conclusion given the value 2 is logged for x under the generous attribute.
2. X is recorded with 3 under the nice context becomes certain upon satisfying under rough, x is described by the value 1.
3. X chases y guarantees the rough characteristic of x is described as scaling the value of rough for y by a factor of 4, then adding 5.
4. X is associated with 2 in terms of confident is a foreseen outcome of x's white is logged as 3.
5. Under round, x is associated with 4 is a foregone conclusion given under the rough attribute, x holds 2.
6. If the relationship sees defines a connection between x and y, then x is characterized by scaling the feature labeled young within y by a factor of 2 with an addition of 10 in the young context.
7. Once under the relationship sees, x relates to y is met, then within x, nice is assigned amplifying the value corresponding to nice within y by 4 and then including 1 as its value necessarily follows.
8. X and y form a connection of the likes relationship gives rise to for x, the generous field is populated with adding 5 to property generous of y.
9. If the relationship likes holds between x and y is met, then x is identified with scaling y's nice by a factor of 6, subsequently adding 9 under the nice category necessarily follows.
Assertion:
Dave's nice is greater than 38.
Step reasoning:
Default -> int0: William is 0 generous; Fact7 & Rule8 & int0 -> int1: Grace is 0+5=5 generous; Fact3 & Rule0 & int1 -> int2: Michael is 5+1=6 generous; Fact1 & Rule0 & int2 -> int3: Emma is 6+1=7 generous; Fact6 & Rule0 & int3 -> int4: Dave is 7+1=8 generous; Rule1 & int4 -> int5: Dave is 1 rough; Rule2 & int5 -> int6:...
Answer:
False
Fact:
0. Amelia and Dave maintain a relationship as described by kisses.
1. Under confident, James is characterized by the value 1.
2. The relationship argues holds between Michael and Dave.
3. James argues Amelia.
4. There is a relation argues between James and Fiona.
5. Daniel and Michael share a relationship denoted by kisses.
6. Fiona kisses Daniel.
7. Fiona and Daniel form a connection of the greets relationship.
Rule:
0. Within x, the confident attribute holds the value 4 leads to for x, compassionate is described as 1.
1. If x needs y holds true, it follows that x is recorded with multiplying y's big by 6 with an addition of 2 under the big attribute is inevitable.
2. There exists a relationship kisses between x and y leads to the friendly attribute of x is associated with scaling the characteristic friendly of y by a factor of 8, subsequently adding 4.
3. Under compassionate, x is represented by amplifying the value of compassionate for y by 2 and then including 5 can be deduced from the relationship helps holds between x and y.
4. Given 3 is attributed to x within the rough context, within x, gruff is registered as 1 follows.
5. X is described by 3 within the confident context can be safely inferred from for x, gruff is described by the value 1.
6. Once within x, big is documented as 3 is met, then under gruff, x is noted as having 1 necessarily follows.
7. In x, the compassionate attribute is associated with the value 4 holds true if x is marked with 3 in the confident field is satisfied.
8. 3 is identified with x under big is a foreseen outcome of under friendly, x is documented as having 4.
9. X and y maintain a relationship as described by greets is sufficient for x is described by the compassionate attribute being multiplying the feature labeled compassionate within y by 8 and then adding 10.
Assertion:
Fiona's compassionate is less than 17.
Step reasoning:
Default -> int0: Michael is 0 friendly; Fact5 & Rule2 & int0 -> int1: Daniel is 8*0+4=4 friendly; Rule8 & int1 -> int2: Daniel is 3 big; Rule6 & int2 -> int3: Daniel is 1 gruff; Rule5 & int3 -> int4: Daniel is 3 confident; Rule7 & int4 -> int5: Daniel is 4 compassionate; Fact7 & Rule9 & int5 -> int6: Fiona is 8*4+10=42...
Answer:
False
Fact:
0. It can be said that Alexander argues Emily.
1. The needs correlation is present between Samuel and Alexander.
2. Grace and Alexander maintain a connection defined by meets.
3. The relationship argues exists between Mia and Samuel.
4. Grace and Mia maintain a relationship as described by needs.
5. It can be said that Samuel meets Mia.
6. Under the relationship argues, Emily relates to Gary.
7. The nice attribute of Emily is depicted by 4.
Rule:
0. X is defined by intensifying the value associated with the attribute quiet of y by a factor of 8 with an addition of 3 in the quiet field can be deduced from x argues y.
1. The value multiplying the value of compassionate for y by 3 and then adding 9 is linked to x in the compassionate context can be safely inferred from the relationship needs exists between x and y.
2. Given the relationship needs defines the relationship between x and y, in terms of x, white equals intensifying the attribute white belonging to entity y by a factor of 2, then adding 2 follows.
3. Whenever 1 is attributed to x for the white attribute, 2 is attributed to x within the compassionate field.
4. The value 2 is documented for x within white guarantees within x, the cold field is populated with 3.
5. If among x and y, the argues relationship exists, the white property of x is marked with scaling the property denoted by white for y by a factor of 2, then adding 7.
6. The cold attribute of x corresponds to the value 5 times the value of the feature cold of y with an addition of 3 becomes certain upon satisfying the relationship argues holds between x and y.
7. The value 1 is logged for x under the compassionate attribute whenever the nice attribute of x corresponds to the value 3.
8. In terms of white, x is assigned adding 8 to 6 times the value of the characteristic white of y is a foregone conclusion given x and y share a relationship denoted by helps.
9. X is marked with 3 for gruff entails 3 is attributed to x under compassionate.
Assertion:
Grace's cold is less than 4.
Step reasoning:
Default -> int0: Gary is 0 white; Fact6 & Rule5 & int0 -> int1: Emily is 2*0+7=7 white; Fact0 & Rule5 & int1 -> int2: Alexander is 2*7+7=21 white; Fact1 & Rule2 & int2 -> int3: Samuel is 2*7+2=16 white; Fact3 & Rule5 & int3 -> int4: Mia is 2*16+7=39 white; Fact4 & Rule2 & int4 -> int5: Grace is 2*39+2=80 white; Rule4 &...
Answer:
True
Fact:
0. In the context of greets, Liam and Fiona share a connection.
1. The relationship eats defines a connection between Harry and Fiona.
2. The likes association is observed between Harry and Liam.
3. The relationship likes exists between Amelia and Liam.
4. Among Fiona and Olivia, the eats relationship exists.
5. The relationship eats defines a connection between Olivia and Alexander.
6. Olivia and Amelia form a connection of the hugs relationship.
7. The greets correlation is present between Alexander and Olivia.
Rule:
0. The big characteristic of x is described as multiplying the value of big for y by 6 and subsequently adding 1 is a logical consequence of x and y maintain a relationship as described by likes.
1. In terms of x, cold equals 3 is a foreseen outcome of x is marked with 2 in the reserved field.
2. If x is marked with 2 for rough is met, then the nice attribute of x is annotated with 4 necessarily follows.
3. There exists a relationship greets between x and y gives rise to scaling the attribute rough belonging to y by a factor of 6 with an addition of 2 is ascribed to x within the rough context.
4. If the value 4 is associated with x under blue holds true, it follows that for x, nice is documented with the value 4 is inevitable.
5. If the relationship eats holds between x and y is met, then the nice field of x is associated with appending 1 to the value associated with the attribute nice of y necessarily follows.
6. 1 is recorded for x in the context of rough leads to 2 is attributed to x for the blue attribute.
7. Under the blue category, x holds the value 2 is a direct result of for x, rough is represented by 3.
8. In light of in the context of chases, x and y share a connection, within x, the cold field is set to multiplying the feature labeled cold within y by 10 with an addition of 6 can be inferred.
9. 2 is logged for x within the quiet context can be deduced from the attribute nice of x is assigned the value 1.
Assertion:
Harry's quiet is less than 76.
Step reasoning:
Default -> int0: Olivia is 0 rough; Fact7 & Rule3 & int0 -> int1: Alexander is 6*0+2=2 rough; Rule2 & int1 -> int2: Alexander is 4 nice; Fact5 & Rule5 & int2 -> int3: Olivia is 4+1=5 nice; Fact4 & Rule5 & int3 -> int4: Fiona is 5+1=6 nice; Fact1 & Rule5 & int4 -> int5: Harry is 1+1=2 nice; Rule9 & int5 -> int6: Harry i...
Answer:
True