TSTP Solution File: SET654+3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET654+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Mon Jun 24 14:35:16 EDT 2024
% Result : Theorem 4.15s 1.08s
% Output : CNFRefutation 4.15s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(range_of(X2),X1)
& subset(domain_of(X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ( subset(range_of(X3),X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f6,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/sandbox2/benchmark/theBenchmark.p',p6) ).
fof(f17,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
fof(f22,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f23,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ( subset(X0,X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_16) ).
fof(f24,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ( subset(X0,X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subset(range_of(X2),X1)
& subset(domain_of(X2),X0) )
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
| ~ subset(range_of(X3),X1)
| ~ ilf_type(X3,relation_type(X2,X0)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
| ~ subset(range_of(X3),X1)
| ~ ilf_type(X3,relation_type(X2,X0)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f29]) ).
fof(f33,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,[],[f6]) ).
fof(f34,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,[],[f33]) ).
fof(f48,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f17]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(X0,X1)
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f56,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(X0,X1)
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f55]) ).
fof(f59,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,[],[f34]) ).
fof(f60,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,[],[f59]) ).
fof(f61,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0)
& ilf_type(sK1(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0)
& ilf_type(sK1(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,[sK1])],[f60,f61]) ).
fof(f73,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f48]) ).
fof(f74,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) )
=> ( member(sK5(X0),X0)
& ilf_type(sK5(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ( ( empty(X0)
| ( member(sK5(X0),X0)
& ilf_type(sK5(X0),set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f74,f75]) ).
fof(f83,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(X0,X1)
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(sK9,X1)
& ilf_type(X3,relation_type(X2,sK9)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(sK9,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(sK9,X1)
& ilf_type(X3,relation_type(X2,sK9)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,sK10))
& subset(sK9,sK10)
& ilf_type(X3,relation_type(X2,sK9)) )
& ilf_type(X2,set_type) )
& ilf_type(sK10,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,sK10))
& subset(sK9,sK10)
& ilf_type(X3,relation_type(X2,sK9)) )
& ilf_type(X2,set_type) )
=> ( ? [X3] :
( ~ ilf_type(X3,relation_type(sK11,sK10))
& subset(sK9,sK10)
& ilf_type(X3,relation_type(sK11,sK9)) )
& ilf_type(sK11,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X3] :
( ~ ilf_type(X3,relation_type(sK11,sK10))
& subset(sK9,sK10)
& ilf_type(X3,relation_type(sK11,sK9)) )
=> ( ~ ilf_type(sK12,relation_type(sK11,sK10))
& subset(sK9,sK10)
& ilf_type(sK12,relation_type(sK11,sK9)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
( ~ ilf_type(sK12,relation_type(sK11,sK10))
& subset(sK9,sK10)
& ilf_type(sK12,relation_type(sK11,sK9))
& ilf_type(sK11,set_type)
& ilf_type(sK10,set_type)
& ilf_type(sK9,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f56,f86,f85,f84,f83]) ).
fof(f88,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f27]) ).
fof(f90,plain,
! [X2,X0,X1] :
( subset(range_of(X2),X1)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f28]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ilf_type(X3,relation_type(X2,X1))
| ~ subset(range_of(X3),X1)
| ~ ilf_type(X3,relation_type(X2,X0))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f30]) ).
fof(f97,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK1(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f62]) ).
fof(f115,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f76]) ).
fof(f127,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f22]) ).
fof(f131,plain,
ilf_type(sK12,relation_type(sK11,sK9)),
inference(cnf_transformation,[],[f87]) ).
fof(f132,plain,
subset(sK9,sK10),
inference(cnf_transformation,[],[f87]) ).
fof(f133,plain,
~ ilf_type(sK12,relation_type(sK11,sK10)),
inference(cnf_transformation,[],[f87]) ).
cnf(c_49,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_50,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| subset(range_of(X0),X2) ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_52,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ subset(range_of(X0),X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ilf_type(X0,relation_type(X1,X3)) ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_57,plain,
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_78,plain,
( ~ member(X0,X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_88,plain,
ilf_type(X0,set_type),
inference(cnf_transformation,[],[f127]) ).
cnf(c_89,negated_conjecture,
~ ilf_type(sK12,relation_type(sK11,sK10)),
inference(cnf_transformation,[],[f133]) ).
cnf(c_90,negated_conjecture,
subset(sK9,sK10),
inference(cnf_transformation,[],[f132]) ).
cnf(c_91,negated_conjecture,
ilf_type(sK12,relation_type(sK11,sK9)),
inference(cnf_transformation,[],[f131]) ).
cnf(c_168,plain,
( ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ empty(X1) ),
inference(global_subsumption_just,[status(thm)],[c_78,c_88,c_78]) ).
cnf(c_179,plain,
( ~ ilf_type(X1,set_type)
| member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_88,c_57]) ).
cnf(c_180,plain,
( ~ ilf_type(X0,set_type)
| member(sK1(X1,X0),X1)
| subset(X1,X0) ),
inference(renaming,[status(thm)],[c_179]) ).
cnf(c_181,plain,
( member(sK1(X1,X0),X1)
| subset(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_180,c_88,c_180]) ).
cnf(c_182,plain,
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(renaming,[status(thm)],[c_181]) ).
cnf(c_216,plain,
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| subset(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_88,c_49]) ).
cnf(c_217,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| subset(X0,X2) ),
inference(renaming,[status(thm)],[c_216]) ).
cnf(c_228,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| subset(X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_217,c_88]) ).
cnf(c_229,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| subset(range_of(X0),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_88]) ).
cnf(c_231,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ subset(range_of(X0),X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ilf_type(X0,relation_type(X1,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_88]) ).
cnf(c_238,plain,
( ~ member(X0,X1)
| ~ empty(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_168,c_88]) ).
cnf(c_340,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| subset(range_of(X0),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229,c_88]) ).
cnf(c_405,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228,c_88]) ).
cnf(c_434,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ subset(range_of(X0),X3)
| ilf_type(X0,relation_type(X1,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231,c_88,c_88]) ).
cnf(c_610,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_182]) ).
cnf(c_611,plain,
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(renaming,[status(thm)],[c_610]) ).
cnf(c_612,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| subset(range_of(X0),X2) ),
inference(prop_impl_just,[status(thm)],[c_340]) ).
cnf(c_628,plain,
( ~ member(X0,X1)
| ~ empty(X1) ),
inference(prop_impl_just,[status(thm)],[c_238]) ).
cnf(c_987,plain,
relation_type(sK11,sK9) = sP0_iProver_def,
definition ).
cnf(c_988,plain,
relation_type(sK11,sK10) = sP1_iProver_def,
definition ).
cnf(c_989,negated_conjecture,
ilf_type(sK12,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_91,c_987]) ).
cnf(c_990,negated_conjecture,
subset(sK9,sK10),
inference(demodulation,[status(thm)],[c_90]) ).
cnf(c_991,negated_conjecture,
~ ilf_type(sK12,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_89,c_988]) ).
cnf(c_3643,plain,
( ~ ilf_type(X0,sP0_iProver_def)
| subset(range_of(X0),sK9) ),
inference(superposition,[status(thm)],[c_987,c_612]) ).
cnf(c_3652,plain,
( ~ empty(X0)
| subset(X0,X1) ),
inference(superposition,[status(thm)],[c_611,c_628]) ).
cnf(c_3670,plain,
( ~ subset(range_of(X0),X1)
| ~ ilf_type(X0,sP0_iProver_def)
| ilf_type(X0,relation_type(sK11,X1)) ),
inference(superposition,[status(thm)],[c_987,c_434]) ).
cnf(c_3686,plain,
( ~ subset(range_of(X0),sK10)
| ~ ilf_type(X0,sP0_iProver_def)
| ilf_type(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_988,c_3670]) ).
cnf(c_3728,plain,
( ~ subset(X0,X1)
| ~ empty(X2)
| subset(X2,X1) ),
inference(superposition,[status(thm)],[c_3652,c_405]) ).
cnf(c_3734,plain,
( ~ subset(sK9,X0)
| ~ ilf_type(X1,sP0_iProver_def)
| subset(range_of(X1),X0) ),
inference(superposition,[status(thm)],[c_3643,c_405]) ).
cnf(c_3773,plain,
( ~ empty(X0)
| subset(X0,sK10) ),
inference(superposition,[status(thm)],[c_990,c_3728]) ).
cnf(c_5445,plain,
( ~ ilf_type(X0,sP0_iProver_def)
| ~ subset(sK9,sK10)
| ilf_type(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_3734,c_3686]) ).
cnf(c_5447,plain,
( ~ ilf_type(X0,sP0_iProver_def)
| ~ empty(range_of(X0))
| ilf_type(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_3773,c_3686]) ).
cnf(c_6310,plain,
( ~ ilf_type(X0,sP0_iProver_def)
| ilf_type(X0,sP1_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_5447,c_90,c_5445]) ).
cnf(c_6313,plain,
ilf_type(sK12,sP1_iProver_def),
inference(superposition,[status(thm)],[c_989,c_6310]) ).
cnf(c_6316,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6313,c_991]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET654+3 : TPTP v8.2.0. Released v2.2.0.
% 0.07/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Sun Jun 23 11:11:09 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.15/1.08 % SZS status Started for theBenchmark.p
% 4.15/1.08 % SZS status Theorem for theBenchmark.p
% 4.15/1.08
% 4.15/1.08 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.15/1.08
% 4.15/1.08 ------ iProver source info
% 4.15/1.08
% 4.15/1.08 git: date: 2024-06-12 09:56:46 +0000
% 4.15/1.08 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.15/1.08 git: non_committed_changes: false
% 4.15/1.08
% 4.15/1.08 ------ Parsing...
% 4.15/1.08 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.15/1.08
% 4.15/1.08 ------ 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
% 4.15/1.08
% 4.15/1.08 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.15/1.08
% 4.15/1.08 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.15/1.08 ------ Proving...
% 4.15/1.08 ------ Problem Properties
% 4.15/1.08
% 4.15/1.08
% 4.15/1.08 clauses 34
% 4.15/1.08 conjectures 3
% 4.15/1.08 EPR 9
% 4.15/1.08 Horn 28
% 4.15/1.08 unary 10
% 4.15/1.08 binary 18
% 4.15/1.08 lits 64
% 4.15/1.08 lits eq 4
% 4.15/1.08 fd_pure 0
% 4.15/1.08 fd_pseudo 0
% 4.15/1.08 fd_cond 0
% 4.15/1.08 fd_pseudo_cond 0
% 4.15/1.08 AC symbols 0
% 4.15/1.08
% 4.15/1.08 ------ Input Options Time Limit: Unbounded
% 4.15/1.08
% 4.15/1.08
% 4.15/1.08 ------
% 4.15/1.08 Current options:
% 4.15/1.08 ------
% 4.15/1.08
% 4.15/1.08
% 4.15/1.08
% 4.15/1.08
% 4.15/1.08 ------ Proving...
% 4.15/1.08
% 4.15/1.08
% 4.15/1.08 % SZS status Theorem for theBenchmark.p
% 4.15/1.08
% 4.15/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.15/1.08
% 4.15/1.08
%------------------------------------------------------------------------------