TSTP Solution File: SET661+3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET661+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:01:09 EDT 2024
% Result : Theorem 80.20s 11.75s
% Output : CNFRefutation 80.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f221)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,domain_of(X1))
<=> ? [X2] :
( member(ordered_pair(X0,X2),X1)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,range_of(X1))
<=> ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(ordered_pair(X0,X1),X2)
=> ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(ordered_pair(X0,X1),inverse(X2))
<=> member(ordered_pair(X1,X0),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(inverse(X0),binary_relation_type) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).
fof(f21,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
fof(f27,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( relation_like(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,X0)
=> ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27) ).
fof(f28,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).
fof(f31,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain_of(X2) = domain(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31) ).
fof(f33,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range_of(X2) = range(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33) ).
fof(f35,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> inverse(X2) = inverse3(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35) ).
fof(f36,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(inverse3(X0,X1,X2),relation_type(X1,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p36) ).
fof(f37,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37) ).
fof(f38,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( domain(X0,X1,X2) = range(X1,X0,inverse3(X0,X1,X2))
& range(X0,X1,X2) = domain(X1,X0,inverse3(X0,X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_24) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( domain(X0,X1,X2) = range(X1,X0,inverse3(X0,X1,X2))
& range(X0,X1,X2) = domain(X1,X0,inverse3(X0,X1,X2)) ) ) ) ),
inference(negated_conjecture,[],[f38]) ).
fof(f40,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ( member(X0,domain_of(X1))
<=> ? [X2] :
( member(ordered_pair(X0,X2),X1)
& ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ( member(X0,range_of(X1))
<=> ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) )
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) )
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(ordered_pair(X0,X1),inverse(X2))
<=> member(ordered_pair(X1,X0),X2) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f40]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f8]) ).
fof(f54,plain,
! [X0] :
( ilf_type(inverse(X0),binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f63]) ).
fof(f73,plain,
! [X0] :
( ( relation_like(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f74,plain,
! [X0] :
( ( relation_like(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f31]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f33]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( inverse(X2) = inverse3(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f35]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(inverse3(X0,X1,X2),relation_type(X1,X0))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f36]) ).
fof(f85,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( domain(X0,X1,X2) != range(X1,X0,inverse3(X0,X1,X2))
| range(X0,X1,X2) != domain(X1,X0,inverse3(X0,X1,X2)) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f39]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,domain_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X2] :
( member(ordered_pair(X0,X2),X1)
& ilf_type(X2,set_type) )
| ~ member(X0,domain_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f41]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,domain_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X3] :
( member(ordered_pair(X0,X3),X1)
& ilf_type(X3,set_type) )
| ~ member(X0,domain_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ? [X3] :
( member(ordered_pair(X0,X3),X1)
& ilf_type(X3,set_type) )
=> ( member(ordered_pair(X0,sK0(X0,X1)),X1)
& ilf_type(sK0(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,domain_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ( member(ordered_pair(X0,sK0(X0,X1)),X1)
& ilf_type(sK0(X0,X1),set_type) )
| ~ member(X0,domain_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f87,f88]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) )
| ~ member(X0,range_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f42]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X3] :
( member(ordered_pair(X3,X0),X1)
& ilf_type(X3,set_type) )
| ~ member(X0,range_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X3] :
( member(ordered_pair(X3,X0),X1)
& ilf_type(X3,set_type) )
=> ( member(ordered_pair(sK1(X0,X1),X0),X1)
& ilf_type(sK1(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ( member(ordered_pair(sK1(X0,X1),X0),X1)
& ilf_type(sK1(X0,X1),set_type) )
| ~ member(X0,range_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f91,f92]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(ordered_pair(X0,X1),inverse(X2))
| ~ member(ordered_pair(X1,X0),X2) )
& ( member(ordered_pair(X1,X0),X2)
| ~ member(ordered_pair(X0,X1),inverse(X2)) ) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f45]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f50]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f101]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f64]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK7(X0,X1),X1)
& member(sK7(X0,X1),X0)
& ilf_type(sK7(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ member(sK7(X0,X1),X1)
& member(sK7(X0,X1),X0)
& ilf_type(sK7(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f116,f117]) ).
fof(f126,plain,
! [X0] :
( ( ( relation_like(X0)
| ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f74]) ).
fof(f127,plain,
! [X0] :
( ( ( relation_like(X0)
| ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X4] :
( ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) )
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type) )
| ~ relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) )
=> ( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK10(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(sK10(X0),X0)
& ilf_type(sK10(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X4] :
( ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) )
=> ( ? [X6] :
( ordered_pair(sK11(X4),X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(sK11(X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X4] :
( ? [X6] :
( ordered_pair(sK11(X4),X6) = X4
& ilf_type(X6,set_type) )
=> ( ordered_pair(sK11(X4),sK12(X4)) = X4
& ilf_type(sK12(X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0] :
( ( ( relation_like(X0)
| ( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK10(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(sK10(X0),X0)
& ilf_type(sK10(X0),set_type) ) )
& ( ! [X4] :
( ( ordered_pair(sK11(X4),sK12(X4)) = X4
& ilf_type(sK12(X4),set_type)
& ilf_type(sK11(X4),set_type) )
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type) )
| ~ relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f127,f130,f129,f128]) ).
fof(f136,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( domain(X0,X1,X2) != range(X1,X0,inverse3(X0,X1,X2))
| range(X0,X1,X2) != domain(X1,X0,inverse3(X0,X1,X2)) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ( domain(sK14,X1,X2) != range(X1,sK14,inverse3(sK14,X1,X2))
| range(sK14,X1,X2) != domain(X1,sK14,inverse3(sK14,X1,X2)) )
& ilf_type(X2,relation_type(sK14,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(sK14,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X1] :
( ? [X2] :
( ( domain(sK14,X1,X2) != range(X1,sK14,inverse3(sK14,X1,X2))
| range(sK14,X1,X2) != domain(X1,sK14,inverse3(sK14,X1,X2)) )
& ilf_type(X2,relation_type(sK14,X1)) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ( domain(sK14,sK15,X2) != range(sK15,sK14,inverse3(sK14,sK15,X2))
| range(sK14,sK15,X2) != domain(sK15,sK14,inverse3(sK14,sK15,X2)) )
& ilf_type(X2,relation_type(sK14,sK15)) )
& ilf_type(sK15,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
( ? [X2] :
( ( domain(sK14,sK15,X2) != range(sK15,sK14,inverse3(sK14,sK15,X2))
| range(sK14,sK15,X2) != domain(sK15,sK14,inverse3(sK14,sK15,X2)) )
& ilf_type(X2,relation_type(sK14,sK15)) )
=> ( ( domain(sK14,sK15,sK16) != range(sK15,sK14,inverse3(sK14,sK15,sK16))
| range(sK14,sK15,sK16) != domain(sK15,sK14,inverse3(sK14,sK15,sK16)) )
& ilf_type(sK16,relation_type(sK14,sK15)) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
( ( domain(sK14,sK15,sK16) != range(sK15,sK14,inverse3(sK14,sK15,sK16))
| range(sK14,sK15,sK16) != domain(sK15,sK14,inverse3(sK14,sK15,sK16)) )
& ilf_type(sK16,relation_type(sK14,sK15))
& ilf_type(sK15,set_type)
& ilf_type(sK14,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f85,f138,f137,f136]) ).
fof(f141,plain,
! [X0,X1] :
( member(ordered_pair(X0,sK0(X0,X1)),X1)
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f89]) ).
fof(f142,plain,
! [X2,X0,X1] :
( member(X0,domain_of(X1))
| ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f89]) ).
fof(f144,plain,
! [X0,X1] :
( member(ordered_pair(sK1(X0,X1),X0),X1)
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f93]) ).
fof(f145,plain,
! [X2,X0,X1] :
( member(X0,range_of(X1))
| ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f93]) ).
fof(f146,plain,
! [X2,X0,X1] :
( member(X0,domain_of(X2))
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f44]) ).
fof(f147,plain,
! [X2,X0,X1] :
( member(X1,range_of(X2))
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f44]) ).
fof(f148,plain,
! [X2,X0,X1] :
( member(ordered_pair(X1,X0),X2)
| ~ member(ordered_pair(X0,X1),inverse(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f94]) ).
fof(f149,plain,
! [X2,X0,X1] :
( member(ordered_pair(X0,X1),inverse(X2))
| ~ member(ordered_pair(X1,X0),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f94]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f48]) ).
fof(f158,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f102]) ).
fof(f162,plain,
! [X0] :
( ilf_type(inverse(X0),binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f54]) ).
fof(f180,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK7(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f118]) ).
fof(f181,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK7(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f118]) ).
fof(f194,plain,
! [X0,X4] :
( ordered_pair(sK11(X4),sK12(X4)) = X4
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f131]) ).
fof(f198,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f75]) ).
fof(f203,plain,
! [X2,X0,X1] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f79]) ).
fof(f205,plain,
! [X2,X0,X1] :
( range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f81]) ).
fof(f207,plain,
! [X2,X0,X1] :
( inverse(X2) = inverse3(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f83]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ilf_type(inverse3(X0,X1,X2),relation_type(X1,X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f84]) ).
fof(f209,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f37]) ).
fof(f212,plain,
ilf_type(sK16,relation_type(sK14,sK15)),
inference(cnf_transformation,[],[f139]) ).
fof(f213,plain,
( domain(sK14,sK15,sK16) != range(sK15,sK14,inverse3(sK14,sK15,sK16))
| range(sK14,sK15,sK16) != domain(sK15,sK14,inverse3(sK14,sK15,sK16)) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_49,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(X0,domain_of(X2)) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_50,plain,
( ~ member(X0,domain_of(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(X0,sK0(X0,X1)),X1) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_52,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(X1,range_of(X2)) ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_53,plain,
( ~ member(X0,range_of(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(sK1(X0,X1),X0),X1) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_55,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(X1,range_of(X2)) ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_56,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(X0,domain_of(X2)) ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_57,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(ordered_pair(X1,X0),inverse(X2)) ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_58,plain,
( ~ member(ordered_pair(X0,X1),inverse(X2))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(ordered_pair(X1,X0),X2) ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_62,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_65,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| X0 = X1 ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_71,plain,
( ~ ilf_type(X0,binary_relation_type)
| ilf_type(inverse(X0),binary_relation_type) ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_73,plain,
( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f221]) ).
cnf(c_85,plain,
( ~ member(sK7(X0,X1),X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_86,plain,
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK7(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_102,plain,
( ~ member(X0,X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ordered_pair(sK11(X0),sK12(X0)) = X0 ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_105,plain,
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| relation_like(X0) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_110,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| domain(X1,X2,X0) = domain_of(X0) ),
inference(cnf_transformation,[],[f203]) ).
cnf(c_112,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| range(X1,X2,X0) = range_of(X0) ),
inference(cnf_transformation,[],[f205]) ).
cnf(c_114,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| inverse3(X1,X2,X0) = inverse(X0) ),
inference(cnf_transformation,[],[f207]) ).
cnf(c_115,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ilf_type(inverse3(X1,X2,X0),relation_type(X2,X1)) ),
inference(cnf_transformation,[],[f208]) ).
cnf(c_116,plain,
ilf_type(X0,set_type),
inference(cnf_transformation,[],[f209]) ).
cnf(c_117,negated_conjecture,
( domain(sK15,sK14,inverse3(sK14,sK15,sK16)) != range(sK14,sK15,sK16)
| range(sK15,sK14,inverse3(sK14,sK15,sK16)) != domain(sK14,sK15,sK16) ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_118,negated_conjecture,
ilf_type(sK16,relation_type(sK14,sK15)),
inference(cnf_transformation,[],[f212]) ).
cnf(c_211,plain,
( ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_116,c_73]) ).
cnf(c_238,plain,
( ~ ilf_type(X1,set_type)
| member(sK7(X0,X1),X0)
| subset(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_86,c_116,c_86]) ).
cnf(c_239,plain,
( ~ ilf_type(X0,set_type)
| member(sK7(X1,X0),X1)
| subset(X1,X0) ),
inference(renaming,[status(thm)],[c_238]) ).
cnf(c_240,plain,
( member(sK7(X1,X0),X1)
| subset(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_239,c_116,c_239]) ).
cnf(c_241,plain,
( member(sK7(X0,X1),X0)
| subset(X0,X1) ),
inference(renaming,[status(thm)],[c_240]) ).
cnf(c_252,plain,
( ~ member(sK7(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| subset(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_85,c_116,c_85]) ).
cnf(c_285,plain,
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| X0 = X1 ),
inference(global_subsumption_just,[status(thm)],[c_65,c_116,c_65]) ).
cnf(c_286,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| ~ ilf_type(X1,set_type)
| X0 = X1 ),
inference(renaming,[status(thm)],[c_285]) ).
cnf(c_287,plain,
( ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(sK1(X0,X1),X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_53,c_116,c_53]) ).
cnf(c_290,plain,
( ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(X0,sK0(X0,X1)),X1) ),
inference(global_subsumption_just,[status(thm)],[c_50,c_116,c_50]) ).
cnf(c_309,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(X1,range_of(X2)) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_116,c_55]) ).
cnf(c_311,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(X0,domain_of(X2)) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_116,c_56]) ).
cnf(c_313,plain,
( ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ordered_pair(sK11(X0),sK12(X0)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_102,c_116,c_102]) ).
cnf(c_323,plain,
( ~ member(ordered_pair(X0,X1),inverse(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(ordered_pair(X1,X0),X2) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_116,c_58]) ).
cnf(c_325,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(ordered_pair(X1,X0),inverse(X2)) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_116,c_57]) ).
cnf(c_339,plain,
( ~ relation_like(X0)
| ilf_type(inverse(X0),binary_relation_type) ),
inference(prop_impl_just,[status(thm)],[c_116,c_71,c_73]) ).
cnf(c_502,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_62,c_116]) ).
cnf(c_505,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ilf_type(inverse3(X1,X2,X0),relation_type(X2,X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_115,c_116]) ).
cnf(c_506,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| inverse3(X1,X2,X0) = inverse(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_114,c_116]) ).
cnf(c_509,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| range(X1,X2,X0) = range_of(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_112,c_116]) ).
cnf(c_514,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| member(X1,range_of(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_309,c_116]) ).
cnf(c_515,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| member(X0,domain_of(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_311,c_116]) ).
cnf(c_516,plain,
( ~ member(X0,X1)
| ~ relation_like(X1)
| ordered_pair(sK11(X0),sK12(X0)) = X0 ),
inference(backward_subsumption_resolution,[status(thm)],[c_313,c_116]) ).
cnf(c_517,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| member(ordered_pair(X1,X0),inverse(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_325,c_116]) ).
cnf(c_518,plain,
( ~ member(ordered_pair(X0,X1),inverse(X2))
| ~ ilf_type(X2,binary_relation_type)
| member(ordered_pair(X1,X0),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_323,c_116]) ).
cnf(c_520,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| domain(X1,X2,X0) = domain_of(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_110,c_116]) ).
cnf(c_521,plain,
( ~ member(sK7(X0,X1),X1)
| subset(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_252,c_116]) ).
cnf(c_525,plain,
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| relation_like(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_105,c_116]) ).
cnf(c_526,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(backward_subsumption_resolution,[status(thm)],[c_286,c_116]) ).
cnf(c_630,plain,
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| relation_like(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_525,c_116]) ).
cnf(c_705,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502,c_116]) ).
cnf(c_762,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ilf_type(inverse3(X1,X2,X0),relation_type(X2,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_505,c_116]) ).
cnf(c_773,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| inverse3(X1,X2,X0) = inverse(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_506,c_116]) ).
cnf(c_784,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| range(X1,X2,X0) = range_of(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_509,c_116]) ).
cnf(c_795,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| domain(X1,X2,X0) = domain_of(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_520,c_116]) ).
cnf(c_1302,plain,
( ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(prop_impl_just,[status(thm)],[c_211]) ).
cnf(c_1308,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_630,c_705]) ).
cnf(c_1310,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| domain(X1,X2,X0) = domain_of(X0) ),
inference(prop_impl_just,[status(thm)],[c_795]) ).
cnf(c_1314,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| range(X1,X2,X0) = range_of(X0) ),
inference(prop_impl_just,[status(thm)],[c_784]) ).
cnf(c_1318,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| inverse3(X1,X2,X0) = inverse(X0) ),
inference(prop_impl_just,[status(thm)],[c_773]) ).
cnf(c_1320,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ilf_type(inverse3(X1,X2,X0),relation_type(X2,X1)) ),
inference(prop_impl_just,[status(thm)],[c_762]) ).
cnf(c_1322,plain,
( subset(X0,X1)
| ~ member(sK7(X0,X1),X1) ),
inference(prop_impl_just,[status(thm)],[c_521]) ).
cnf(c_1323,plain,
( ~ member(sK7(X0,X1),X1)
| subset(X0,X1) ),
inference(renaming,[status(thm)],[c_1322]) ).
cnf(c_1324,plain,
( subset(X0,X1)
| member(sK7(X0,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_241]) ).
cnf(c_1325,plain,
( member(sK7(X0,X1),X0)
| subset(X0,X1) ),
inference(renaming,[status(thm)],[c_1324]) ).
cnf(c_1326,plain,
( ~ relation_like(X0)
| ilf_type(inverse(X0),binary_relation_type) ),
inference(prop_impl_just,[status(thm)],[c_339]) ).
cnf(c_2128,plain,
relation_type(sK14,sK15) = sP0_iProver_def,
definition ).
cnf(c_2129,plain,
inverse3(sK14,sK15,sK16) = sP1_iProver_def,
definition ).
cnf(c_2130,plain,
domain(sK15,sK14,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_2131,plain,
range(sK14,sK15,sK16) = sP3_iProver_def,
definition ).
cnf(c_2132,plain,
range(sK15,sK14,sP1_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_2133,plain,
domain(sK14,sK15,sK16) = sP5_iProver_def,
definition ).
cnf(c_2134,negated_conjecture,
ilf_type(sK16,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_118,c_2128]) ).
cnf(c_2135,negated_conjecture,
( sP2_iProver_def != sP3_iProver_def
| sP4_iProver_def != sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_117,c_2133,c_2132,c_2131,c_2129,c_2130]) ).
cnf(c_3217,plain,
( ~ ilf_type(X0,sP0_iProver_def)
| relation_like(X0) ),
inference(superposition,[status(thm)],[c_2128,c_1308]) ).
cnf(c_3250,plain,
relation_like(sK16),
inference(superposition,[status(thm)],[c_2134,c_3217]) ).
cnf(c_3420,plain,
( ~ ilf_type(X0,sP0_iProver_def)
| domain(sK14,sK15,X0) = domain_of(X0) ),
inference(superposition,[status(thm)],[c_2128,c_1310]) ).
cnf(c_3462,plain,
( ~ ilf_type(X0,sP0_iProver_def)
| range(sK14,sK15,X0) = range_of(X0) ),
inference(superposition,[status(thm)],[c_2128,c_1314]) ).
cnf(c_3474,plain,
( ~ ilf_type(X0,sP0_iProver_def)
| inverse3(sK14,sK15,X0) = inverse(X0) ),
inference(superposition,[status(thm)],[c_2128,c_1318]) ).
cnf(c_3574,plain,
( ~ ilf_type(sK16,relation_type(sK14,sK15))
| ilf_type(sP1_iProver_def,relation_type(sK15,sK14)) ),
inference(superposition,[status(thm)],[c_2129,c_1320]) ).
cnf(c_3582,plain,
( ~ ilf_type(sK16,sP0_iProver_def)
| ilf_type(sP1_iProver_def,relation_type(sK15,sK14)) ),
inference(light_normalisation,[status(thm)],[c_3574,c_2128]) ).
cnf(c_3583,plain,
ilf_type(sP1_iProver_def,relation_type(sK15,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_3582,c_2134]) ).
cnf(c_3736,plain,
range(sK15,sK14,sP1_iProver_def) = range_of(sP1_iProver_def),
inference(superposition,[status(thm)],[c_3583,c_1314]) ).
cnf(c_3737,plain,
domain(sK15,sK14,sP1_iProver_def) = domain_of(sP1_iProver_def),
inference(superposition,[status(thm)],[c_3583,c_1310]) ).
cnf(c_3739,plain,
domain_of(sP1_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_3737,c_2130]) ).
cnf(c_3740,plain,
range_of(sP1_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_3736,c_2132]) ).
cnf(c_4006,plain,
( ~ subset(sP4_iProver_def,sP5_iProver_def)
| ~ subset(sP5_iProver_def,sP4_iProver_def)
| sP4_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_526]) ).
cnf(c_4696,plain,
domain(sK14,sK15,sK16) = domain_of(sK16),
inference(superposition,[status(thm)],[c_2134,c_3420]) ).
cnf(c_4705,plain,
domain_of(sK16) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_4696,c_2133]) ).
cnf(c_6408,plain,
range(sK14,sK15,sK16) = range_of(sK16),
inference(superposition,[status(thm)],[c_2134,c_3462]) ).
cnf(c_6418,plain,
range_of(sK16) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_6408,c_2131]) ).
cnf(c_6798,plain,
inverse3(sK14,sK15,sK16) = inverse(sK16),
inference(superposition,[status(thm)],[c_2134,c_3474]) ).
cnf(c_6808,plain,
inverse(sK16) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_6798,c_2129]) ).
cnf(c_6813,plain,
( ~ member(ordered_pair(X0,X1),sP1_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| member(ordered_pair(X1,X0),sK16) ),
inference(superposition,[status(thm)],[c_6808,c_518]) ).
cnf(c_6814,plain,
( ~ member(ordered_pair(X0,X1),sK16)
| ~ ilf_type(sK16,binary_relation_type)
| member(ordered_pair(X1,X0),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_6808,c_517]) ).
cnf(c_6816,plain,
( ~ relation_like(sK16)
| ilf_type(sP1_iProver_def,binary_relation_type) ),
inference(superposition,[status(thm)],[c_6808,c_1326]) ).
cnf(c_6817,plain,
ilf_type(sP1_iProver_def,binary_relation_type),
inference(forward_subsumption_resolution,[status(thm)],[c_6816,c_3250]) ).
cnf(c_6988,plain,
( ~ member(X0,domain_of(sP1_iProver_def))
| ~ ilf_type(sK16,binary_relation_type)
| ~ ilf_type(sP1_iProver_def,binary_relation_type)
| member(ordered_pair(sK0(X0,sP1_iProver_def),X0),sK16) ),
inference(superposition,[status(thm)],[c_290,c_6813]) ).
cnf(c_6989,plain,
( ~ member(X0,range_of(sP1_iProver_def))
| ~ ilf_type(sK16,binary_relation_type)
| ~ ilf_type(sP1_iProver_def,binary_relation_type)
| member(ordered_pair(X0,sK1(X0,sP1_iProver_def)),sK16) ),
inference(superposition,[status(thm)],[c_287,c_6813]) ).
cnf(c_6990,plain,
( ~ member(X0,sP4_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| ~ ilf_type(sP1_iProver_def,binary_relation_type)
| member(ordered_pair(X0,sK1(X0,sP1_iProver_def)),sK16) ),
inference(light_normalisation,[status(thm)],[c_6989,c_3740]) ).
cnf(c_6991,plain,
( ~ member(X0,sP4_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| member(ordered_pair(X0,sK1(X0,sP1_iProver_def)),sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6990,c_6817]) ).
cnf(c_6995,plain,
( ~ member(X0,sP2_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| ~ ilf_type(sP1_iProver_def,binary_relation_type)
| member(ordered_pair(sK0(X0,sP1_iProver_def),X0),sK16) ),
inference(light_normalisation,[status(thm)],[c_6988,c_3739]) ).
cnf(c_6996,plain,
( ~ member(X0,sP2_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| member(ordered_pair(sK0(X0,sP1_iProver_def),X0),sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6995,c_6817]) ).
cnf(c_7009,plain,
( ~ member(X0,range_of(sK16))
| ~ ilf_type(sK16,binary_relation_type)
| member(ordered_pair(X0,sK1(X0,sK16)),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_287,c_6814]) ).
cnf(c_7010,plain,
( ~ member(X0,sP3_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| member(ordered_pair(X0,sK1(X0,sK16)),sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_7009,c_6418]) ).
cnf(c_7032,plain,
( ~ member(X0,sP4_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| member(X0,domain_of(sK16)) ),
inference(superposition,[status(thm)],[c_6991,c_515]) ).
cnf(c_7041,plain,
( ~ member(X0,sP4_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| member(X0,sP5_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_7032,c_4705]) ).
cnf(c_7260,plain,
( ~ ilf_type(sK16,binary_relation_type)
| member(sK7(sP4_iProver_def,X0),sP5_iProver_def)
| subset(sP4_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_1325,c_7041]) ).
cnf(c_7934,plain,
( ~ member(X0,sP2_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| member(X0,range_of(sK16)) ),
inference(superposition,[status(thm)],[c_6996,c_514]) ).
cnf(c_7942,plain,
( ~ member(X0,sP2_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| member(X0,sP3_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_7934,c_6418]) ).
cnf(c_8111,plain,
( ~ ilf_type(sK16,binary_relation_type)
| member(sK7(sP2_iProver_def,X0),sP3_iProver_def)
| subset(sP2_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_1325,c_7942]) ).
cnf(c_8263,plain,
( ~ member(X0,sP3_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| ~ ilf_type(sP1_iProver_def,binary_relation_type)
| member(X0,domain_of(sP1_iProver_def)) ),
inference(superposition,[status(thm)],[c_7010,c_515]) ).
cnf(c_8275,plain,
( ~ member(X0,sP3_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| ~ ilf_type(sP1_iProver_def,binary_relation_type)
| member(X0,sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_8263,c_3739]) ).
cnf(c_8276,plain,
( ~ member(X0,sP3_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| member(X0,sP2_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8275,c_6817]) ).
cnf(c_9001,plain,
( ~ ilf_type(sK16,binary_relation_type)
| member(sK7(sP3_iProver_def,X0),sP2_iProver_def)
| subset(sP3_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_1325,c_8276]) ).
cnf(c_81311,plain,
( ~ ilf_type(sK16,binary_relation_type)
| subset(sP4_iProver_def,sP5_iProver_def) ),
inference(superposition,[status(thm)],[c_7260,c_1323]) ).
cnf(c_81407,plain,
( ~ ilf_type(sK16,binary_relation_type)
| subset(sP2_iProver_def,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_8111,c_1323]) ).
cnf(c_81465,plain,
( ~ ilf_type(sK16,binary_relation_type)
| subset(sP3_iProver_def,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_9001,c_1323]) ).
cnf(c_95110,plain,
( ~ relation_like(sK16)
| subset(sP4_iProver_def,sP5_iProver_def) ),
inference(superposition,[status(thm)],[c_1302,c_81311]) ).
cnf(c_95111,plain,
subset(sP4_iProver_def,sP5_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_95110,c_3250]) ).
cnf(c_95121,plain,
( ~ relation_like(sK16)
| subset(sP2_iProver_def,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_1302,c_81407]) ).
cnf(c_95122,plain,
subset(sP2_iProver_def,sP3_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_95121,c_3250]) ).
cnf(c_95123,plain,
( ~ subset(sP3_iProver_def,sP2_iProver_def)
| sP2_iProver_def = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_95122,c_526]) ).
cnf(c_95364,plain,
( ~ relation_like(sK16)
| subset(sP3_iProver_def,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_1302,c_81465]) ).
cnf(c_95365,plain,
subset(sP3_iProver_def,sP2_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_95364,c_3250]) ).
cnf(c_172456,plain,
( ~ ilf_type(X0,sP0_iProver_def)
| relation_like(X0) ),
inference(superposition,[status(thm)],[c_2128,c_1308]) ).
cnf(c_172467,plain,
relation_like(sK16),
inference(superposition,[status(thm)],[c_2134,c_172456]) ).
cnf(c_172608,plain,
( ~ ilf_type(X0,sP0_iProver_def)
| domain(sK14,sK15,X0) = domain_of(X0) ),
inference(superposition,[status(thm)],[c_2128,c_1310]) ).
cnf(c_172729,plain,
( ~ ilf_type(X0,sP0_iProver_def)
| inverse3(sK14,sK15,X0) = inverse(X0) ),
inference(superposition,[status(thm)],[c_2128,c_1318]) ).
cnf(c_172738,plain,
( ~ ilf_type(sK16,relation_type(sK14,sK15))
| ilf_type(sP1_iProver_def,relation_type(sK15,sK14)) ),
inference(superposition,[status(thm)],[c_2129,c_1320]) ).
cnf(c_172746,plain,
( ~ ilf_type(sK16,sP0_iProver_def)
| ilf_type(sP1_iProver_def,relation_type(sK15,sK14)) ),
inference(light_normalisation,[status(thm)],[c_172738,c_2128]) ).
cnf(c_172747,plain,
ilf_type(sP1_iProver_def,relation_type(sK15,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_172746,c_2134]) ).
cnf(c_172814,plain,
range(sK15,sK14,sP1_iProver_def) = range_of(sP1_iProver_def),
inference(superposition,[status(thm)],[c_172747,c_1314]) ).
cnf(c_172818,plain,
range_of(sP1_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_172814,c_2132]) ).
cnf(c_173483,plain,
domain(sK14,sK15,sK16) = domain_of(sK16),
inference(superposition,[status(thm)],[c_2134,c_172608]) ).
cnf(c_173492,plain,
domain_of(sK16) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_173483,c_2133]) ).
cnf(c_174187,plain,
inverse3(sK14,sK15,sK16) = inverse(sK16),
inference(superposition,[status(thm)],[c_2134,c_172729]) ).
cnf(c_174196,plain,
inverse(sK16) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_174187,c_2129]) ).
cnf(c_174228,plain,
( ~ member(ordered_pair(X0,X1),sP1_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| member(ordered_pair(X1,X0),sK16) ),
inference(superposition,[status(thm)],[c_174196,c_518]) ).
cnf(c_174229,plain,
( ~ member(ordered_pair(X0,X1),sK16)
| ~ ilf_type(sK16,binary_relation_type)
| member(ordered_pair(X1,X0),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_174196,c_517]) ).
cnf(c_174231,plain,
( ~ relation_like(sK16)
| ilf_type(sP1_iProver_def,binary_relation_type) ),
inference(superposition,[status(thm)],[c_174196,c_1326]) ).
cnf(c_174232,plain,
ilf_type(sP1_iProver_def,binary_relation_type),
inference(forward_subsumption_resolution,[status(thm)],[c_174231,c_172467]) ).
cnf(c_174299,plain,
( ~ member(X0,range_of(sP1_iProver_def))
| ~ ilf_type(sK16,binary_relation_type)
| ~ ilf_type(sP1_iProver_def,binary_relation_type)
| member(ordered_pair(X0,sK1(X0,sP1_iProver_def)),sK16) ),
inference(superposition,[status(thm)],[c_287,c_174228]) ).
cnf(c_174300,plain,
( ~ member(X0,sP4_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| ~ ilf_type(sP1_iProver_def,binary_relation_type)
| member(ordered_pair(X0,sK1(X0,sP1_iProver_def)),sK16) ),
inference(light_normalisation,[status(thm)],[c_174299,c_172818]) ).
cnf(c_174301,plain,
( ~ member(X0,sP4_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| member(ordered_pair(X0,sK1(X0,sP1_iProver_def)),sK16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174300,c_174232]) ).
cnf(c_174316,plain,
( ~ member(X0,domain_of(sK16))
| ~ ilf_type(sK16,binary_relation_type)
| member(ordered_pair(sK0(X0,sK16),X0),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_290,c_174229]) ).
cnf(c_174322,plain,
( ~ member(X0,sP5_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| member(ordered_pair(sK0(X0,sK16),X0),sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_174316,c_173492]) ).
cnf(c_174464,plain,
( ~ member(X0,sP4_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| ~ relation_like(sK16)
| ordered_pair(sK11(ordered_pair(X0,sK1(X0,sP1_iProver_def))),sK12(ordered_pair(X0,sK1(X0,sP1_iProver_def)))) = ordered_pair(X0,sK1(X0,sP1_iProver_def)) ),
inference(superposition,[status(thm)],[c_174301,c_516]) ).
cnf(c_174485,plain,
( ~ member(X0,sP4_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| ordered_pair(sK11(ordered_pair(X0,sK1(X0,sP1_iProver_def))),sK12(ordered_pair(X0,sK1(X0,sP1_iProver_def)))) = ordered_pair(X0,sK1(X0,sP1_iProver_def)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174464,c_172467]) ).
cnf(c_175052,plain,
( ~ member(X0,sP5_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| ~ ilf_type(sP1_iProver_def,binary_relation_type)
| member(X0,range_of(sP1_iProver_def)) ),
inference(superposition,[status(thm)],[c_174322,c_514]) ).
cnf(c_175060,plain,
( ~ member(X0,sP5_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| ~ ilf_type(sP1_iProver_def,binary_relation_type)
| member(X0,sP4_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_175052,c_172818]) ).
cnf(c_175061,plain,
( ~ member(X0,sP5_iProver_def)
| ~ ilf_type(sK16,binary_relation_type)
| member(X0,sP4_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175060,c_174232]) ).
cnf(c_175086,plain,
( ~ ilf_type(sK16,binary_relation_type)
| member(sK7(sP5_iProver_def,X0),sP4_iProver_def)
| subset(sP5_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_1325,c_175061]) ).
cnf(c_180825,plain,
( ~ ilf_type(sK16,binary_relation_type)
| subset(sP5_iProver_def,sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_175086,c_1323]) ).
cnf(c_180828,plain,
( ~ ilf_type(sK16,binary_relation_type)
| ordered_pair(sK11(ordered_pair(sK7(sP5_iProver_def,X0),sK1(sK7(sP5_iProver_def,X0),sP1_iProver_def))),sK12(ordered_pair(sK7(sP5_iProver_def,X0),sK1(sK7(sP5_iProver_def,X0),sP1_iProver_def)))) = ordered_pair(sK7(sP5_iProver_def,X0),sK1(sK7(sP5_iProver_def,X0),sP1_iProver_def))
| subset(sP5_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_175086,c_174485]) ).
cnf(c_180861,plain,
~ ilf_type(sK16,binary_relation_type),
inference(global_subsumption_just,[status(thm)],[c_180828,c_2135,c_4006,c_95111,c_95123,c_95365,c_180825]) ).
cnf(c_180863,plain,
~ relation_like(sK16),
inference(superposition,[status(thm)],[c_1302,c_180861]) ).
cnf(c_180864,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_180863,c_172467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET661+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 20:11:32 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 80.20/11.75 % SZS status Started for theBenchmark.p
% 80.20/11.75 % SZS status Theorem for theBenchmark.p
% 80.20/11.75
% 80.20/11.75 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 80.20/11.75
% 80.20/11.75 ------ iProver source info
% 80.20/11.75
% 80.20/11.75 git: date: 2024-05-02 19:28:25 +0000
% 80.20/11.75 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 80.20/11.75 git: non_committed_changes: false
% 80.20/11.75
% 80.20/11.75 ------ Parsing...
% 80.20/11.75 ------ Clausification by vclausify_rel & Parsing by iProver...
% 80.20/11.75
% 80.20/11.75 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 80.20/11.75
% 80.20/11.75 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 80.20/11.75
% 80.20/11.75 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 80.20/11.75 ------ Proving...
% 80.20/11.75 ------ Problem Properties
% 80.20/11.75
% 80.20/11.75
% 80.20/11.75 clauses 54
% 80.20/11.75 conjectures 2
% 80.20/11.75 EPR 11
% 80.20/11.75 Horn 46
% 80.20/11.75 unary 13
% 80.20/11.75 binary 26
% 80.20/11.75 lits 110
% 80.20/11.75 lits eq 18
% 80.20/11.75 fd_pure 0
% 80.20/11.75 fd_pseudo 0
% 80.20/11.75 fd_cond 0
% 80.20/11.75 fd_pseudo_cond 5
% 80.20/11.75 AC symbols 0
% 80.20/11.75
% 80.20/11.75 ------ Schedule dynamic 5 is on
% 80.20/11.75
% 80.20/11.75 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 80.20/11.75
% 80.20/11.75
% 80.20/11.75 ------
% 80.20/11.75 Current options:
% 80.20/11.75 ------
% 80.20/11.75
% 80.20/11.75
% 80.20/11.75
% 80.20/11.75
% 80.20/11.75 ------ Proving...
% 80.20/11.75 Proof_search_loop: time out after: 8212 full_loop iterations
% 80.20/11.75
% 80.20/11.75 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 80.20/11.75
% 80.20/11.75
% 80.20/11.75 ------
% 80.20/11.75 Current options:
% 80.20/11.75 ------
% 80.20/11.75
% 80.20/11.75
% 80.20/11.75
% 80.20/11.75
% 80.20/11.75 ------ Proving...
% 80.20/11.75
% 80.20/11.75
% 80.20/11.75 % SZS status Theorem for theBenchmark.p
% 80.20/11.75
% 80.20/11.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 80.20/11.76
% 80.20/11.76
%------------------------------------------------------------------------------