TSTP Solution File: SEV521+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEV521+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 : Thu Aug 31 19:31:10 EDT 2023
% Result : Theorem 3.36s 1.12s
% Output : CNFRefutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 109 ( 12 unt; 0 def)
% Number of atoms : 377 ( 71 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 427 ( 159 ~; 163 |; 76 &)
% ( 6 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 187 ( 0 sgn; 93 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f8,axiom,
! [X2,X0] :
( member(X2,singleton(X0))
<=> X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton) ).
fof(f13,axiom,
! [X0,X3] :
( partition(X0,X3)
<=> ( ! [X2,X4] :
( ( member(X4,X0)
& member(X2,X0) )
=> ( ? [X5] :
( member(X5,X4)
& member(X5,X2) )
=> X2 = X4 ) )
& ! [X2] :
( member(X2,X3)
=> ? [X4] :
( member(X2,X4)
& member(X4,X0) ) )
& ! [X2] :
( member(X2,X0)
=> subset(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partition) ).
fof(f20,conjecture,
! [X3] :
( empty_set != X3
=> partition(singleton(X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_partitions_itself) ).
fof(f21,negated_conjecture,
~ ! [X3] :
( empty_set != X3
=> partition(singleton(X3),X3) ),
inference(negated_conjecture,[],[f20]) ).
fof(f27,plain,
! [X0,X1] :
( member(X0,singleton(X1))
<=> X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f31,plain,
! [X0,X1] :
( partition(X0,X1)
<=> ( ! [X2,X3] :
( ( member(X3,X0)
& member(X2,X0) )
=> ( ? [X4] :
( member(X4,X3)
& member(X4,X2) )
=> X2 = X3 ) )
& ! [X5] :
( member(X5,X1)
=> ? [X6] :
( member(X5,X6)
& member(X6,X0) ) )
& ! [X7] :
( member(X7,X0)
=> subset(X7,X1) ) ) ),
inference(rectify,[],[f13]) ).
fof(f38,plain,
~ ! [X0] :
( empty_set != X0
=> partition(singleton(X0),X0) ),
inference(rectify,[],[f21]) ).
fof(f39,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( ( member(X3,X0)
& member(X2,X0) )
=> ( ? [X4] :
( member(X4,X3)
& member(X4,X2) )
=> X2 = X3 ) )
& ! [X5] :
( member(X5,X1)
=> ? [X6] :
( member(X5,X6)
& member(X6,X0) ) )
& ! [X7] :
( member(X7,X0)
=> subset(X7,X1) ) )
=> partition(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f40,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f42,plain,
! [X0,X1] :
( partition(X0,X1)
| ? [X2,X3] :
( X2 != X3
& ? [X4] :
( member(X4,X3)
& member(X4,X2) )
& member(X3,X0)
& member(X2,X0) )
| ? [X5] :
( ! [X6] :
( ~ member(X5,X6)
| ~ member(X6,X0) )
& member(X5,X1) )
| ? [X7] :
( ~ subset(X7,X1)
& member(X7,X0) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f43,plain,
! [X0,X1] :
( partition(X0,X1)
| ? [X2,X3] :
( X2 != X3
& ? [X4] :
( member(X4,X3)
& member(X4,X2) )
& member(X3,X0)
& member(X2,X0) )
| ? [X5] :
( ! [X6] :
( ~ member(X5,X6)
| ~ member(X6,X0) )
& member(X5,X1) )
| ? [X7] :
( ~ subset(X7,X1)
& member(X7,X0) ) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
? [X0] :
( ~ partition(singleton(X0),X0)
& empty_set != X0 ),
inference(ennf_transformation,[],[f38]) ).
fof(f45,plain,
! [X0] :
( ? [X2,X3] :
( X2 != X3
& ? [X4] :
( member(X4,X3)
& member(X4,X2) )
& member(X3,X0)
& member(X2,X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f46,plain,
! [X0,X1] :
( partition(X0,X1)
| sP0(X0)
| ? [X5] :
( ! [X6] :
( ~ member(X5,X6)
| ~ member(X6,X0) )
& member(X5,X1) )
| ? [X7] :
( ~ subset(X7,X1)
& member(X7,X0) ) ),
inference(definition_folding,[],[f43,f45]) ).
fof(f47,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f48,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f48,f49]) ).
fof(f58,plain,
! [X0,X1] :
( ( member(X0,singleton(X1))
| X0 != X1 )
& ( X0 = X1
| ~ member(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f69,plain,
! [X0] :
( ? [X2,X3] :
( X2 != X3
& ? [X4] :
( member(X4,X3)
& member(X4,X2) )
& member(X3,X0)
& member(X2,X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f45]) ).
fof(f70,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& ? [X3] :
( member(X3,X2)
& member(X3,X1) )
& member(X2,X0)
& member(X1,X0) )
| ~ sP0(X0) ),
inference(rectify,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& ? [X3] :
( member(X3,X2)
& member(X3,X1) )
& member(X2,X0)
& member(X1,X0) )
=> ( sK4(X0) != sK5(X0)
& ? [X3] :
( member(X3,sK5(X0))
& member(X3,sK4(X0)) )
& member(sK5(X0),X0)
& member(sK4(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ? [X3] :
( member(X3,sK5(X0))
& member(X3,sK4(X0)) )
=> ( member(sK6(X0),sK5(X0))
& member(sK6(X0),sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0] :
( ( sK4(X0) != sK5(X0)
& member(sK6(X0),sK5(X0))
& member(sK6(X0),sK4(X0))
& member(sK5(X0),X0)
& member(sK4(X0),X0) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f70,f72,f71]) ).
fof(f74,plain,
! [X0,X1] :
( partition(X0,X1)
| sP0(X0)
| ? [X2] :
( ! [X3] :
( ~ member(X2,X3)
| ~ member(X3,X0) )
& member(X2,X1) )
| ? [X4] :
( ~ subset(X4,X1)
& member(X4,X0) ) ),
inference(rectify,[],[f46]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X2] :
( ! [X3] :
( ~ member(X2,X3)
| ~ member(X3,X0) )
& member(X2,X1) )
=> ( ! [X3] :
( ~ member(sK7(X0,X1),X3)
| ~ member(X3,X0) )
& member(sK7(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0,X1] :
( ? [X4] :
( ~ subset(X4,X1)
& member(X4,X0) )
=> ( ~ subset(sK8(X0,X1),X1)
& member(sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1] :
( partition(X0,X1)
| sP0(X0)
| ( ! [X3] :
( ~ member(sK7(X0,X1),X3)
| ~ member(X3,X0) )
& member(sK7(X0,X1),X1) )
| ( ~ subset(sK8(X0,X1),X1)
& member(sK8(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f74,f76,f75]) ).
fof(f86,plain,
( ? [X0] :
( ~ partition(singleton(X0),X0)
& empty_set != X0 )
=> ( ~ partition(singleton(sK12),sK12)
& empty_set != sK12 ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
( ~ partition(singleton(sK12),sK12)
& empty_set != sK12 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f44,f86]) ).
fof(f89,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f90,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f103,plain,
! [X0,X1] :
( X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f104,plain,
! [X0,X1] :
( member(X0,singleton(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f114,plain,
! [X0] :
( member(sK4(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f115,plain,
! [X0] :
( member(sK5(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f118,plain,
! [X0] :
( sK4(X0) != sK5(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f119,plain,
! [X0,X1] :
( partition(X0,X1)
| sP0(X0)
| member(sK7(X0,X1),X1)
| member(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f120,plain,
! [X0,X1] :
( partition(X0,X1)
| sP0(X0)
| member(sK7(X0,X1),X1)
| ~ subset(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f121,plain,
! [X3,X0,X1] :
( partition(X0,X1)
| sP0(X0)
| ~ member(sK7(X0,X1),X3)
| ~ member(X3,X0)
| member(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f122,plain,
! [X3,X0,X1] :
( partition(X0,X1)
| sP0(X0)
| ~ member(sK7(X0,X1),X3)
| ~ member(X3,X0)
| ~ subset(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f134,plain,
~ partition(singleton(sK12),sK12),
inference(cnf_transformation,[],[f87]) ).
fof(f135,plain,
! [X1] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f104]) ).
cnf(c_49,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_50,plain,
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_64,plain,
member(X0,singleton(X0)),
inference(cnf_transformation,[],[f135]) ).
cnf(c_65,plain,
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_75,plain,
( sK4(X0) != sK5(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_78,plain,
( ~ sP0(X0)
| member(sK5(X0),X0) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_79,plain,
( ~ sP0(X0)
| member(sK4(X0),X0) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_80,plain,
( ~ subset(sK8(X0,X1),X1)
| ~ member(sK7(X0,X1),X2)
| ~ member(X2,X0)
| partition(X0,X1)
| sP0(X0) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_81,plain,
( ~ member(sK7(X0,X1),X2)
| ~ member(X2,X0)
| member(sK8(X0,X1),X0)
| partition(X0,X1)
| sP0(X0) ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_82,plain,
( ~ subset(sK8(X0,X1),X1)
| member(sK7(X0,X1),X1)
| partition(X0,X1)
| sP0(X0) ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_83,plain,
( member(sK7(X0,X1),X1)
| member(sK8(X0,X1),X0)
| partition(X0,X1)
| sP0(X0) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_93,negated_conjecture,
~ partition(singleton(sK12),sK12),
inference(cnf_transformation,[],[f134]) ).
cnf(c_95,plain,
member(sK12,singleton(sK12)),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_106,plain,
( ~ member(sK12,singleton(sK12))
| sK12 = sK12 ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_179,plain,
( sK4(X0) != sK5(X0)
| ~ sP0(X0) ),
inference(prop_impl_just,[status(thm)],[c_75]) ).
cnf(c_187,plain,
( ~ sP0(X0)
| member(sK5(X0),X0) ),
inference(prop_impl_just,[status(thm)],[c_78]) ).
cnf(c_189,plain,
( ~ sP0(X0)
| member(sK4(X0),X0) ),
inference(prop_impl_just,[status(thm)],[c_79]) ).
cnf(c_736,plain,
( singleton(sK12) != X0
| X1 != sK12
| member(sK7(X0,X1),X1)
| member(sK8(X0,X1),X0)
| sP0(X0) ),
inference(resolution_lifted,[status(thm)],[c_83,c_93]) ).
cnf(c_737,plain,
( member(sK8(singleton(sK12),sK12),singleton(sK12))
| member(sK7(singleton(sK12),sK12),sK12)
| sP0(singleton(sK12)) ),
inference(unflattening,[status(thm)],[c_736]) ).
cnf(c_747,plain,
( singleton(sK12) != X0
| X1 != sK12
| ~ subset(sK8(X0,X1),X1)
| member(sK7(X0,X1),X1)
| sP0(X0) ),
inference(resolution_lifted,[status(thm)],[c_82,c_93]) ).
cnf(c_748,plain,
( ~ subset(sK8(singleton(sK12),sK12),sK12)
| member(sK7(singleton(sK12),sK12),sK12)
| sP0(singleton(sK12)) ),
inference(unflattening,[status(thm)],[c_747]) ).
cnf(c_758,plain,
( singleton(sK12) != X0
| X1 != sK12
| ~ member(sK7(X0,X1),X2)
| ~ member(X2,X0)
| member(sK8(X0,X1),X0)
| sP0(X0) ),
inference(resolution_lifted,[status(thm)],[c_81,c_93]) ).
cnf(c_759,plain,
( ~ member(sK7(singleton(sK12),sK12),X0)
| ~ member(X0,singleton(sK12))
| member(sK8(singleton(sK12),sK12),singleton(sK12))
| sP0(singleton(sK12)) ),
inference(unflattening,[status(thm)],[c_758]) ).
cnf(c_760,plain,
( ~ member(sK7(singleton(sK12),sK12),sK12)
| ~ member(sK12,singleton(sK12))
| member(sK8(singleton(sK12),sK12),singleton(sK12))
| sP0(singleton(sK12)) ),
inference(instantiation,[status(thm)],[c_759]) ).
cnf(c_761,plain,
( member(sK8(singleton(sK12),sK12),singleton(sK12))
| sP0(singleton(sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_759,c_95,c_737,c_760]) ).
cnf(c_769,plain,
( singleton(sK12) != X0
| X1 != sK12
| ~ subset(sK8(X0,X1),X1)
| ~ member(sK7(X0,X1),X2)
| ~ member(X2,X0)
| sP0(X0) ),
inference(resolution_lifted,[status(thm)],[c_80,c_93]) ).
cnf(c_770,plain,
( ~ member(sK7(singleton(sK12),sK12),X0)
| ~ subset(sK8(singleton(sK12),sK12),sK12)
| ~ member(X0,singleton(sK12))
| sP0(singleton(sK12)) ),
inference(unflattening,[status(thm)],[c_769]) ).
cnf(c_771,plain,
( ~ subset(sK8(singleton(sK12),sK12),sK12)
| ~ member(sK7(singleton(sK12),sK12),sK12)
| ~ member(sK12,singleton(sK12))
| sP0(singleton(sK12)) ),
inference(instantiation,[status(thm)],[c_770]) ).
cnf(c_772,plain,
( ~ subset(sK8(singleton(sK12),sK12),sK12)
| sP0(singleton(sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_770,c_95,c_748,c_771]) ).
cnf(c_784,plain,
( singleton(sK12) != X0
| ~ subset(sK8(singleton(sK12),sK12),sK12)
| member(sK4(X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_189,c_772]) ).
cnf(c_785,plain,
( ~ subset(sK8(singleton(sK12),sK12),sK12)
| member(sK4(singleton(sK12)),singleton(sK12)) ),
inference(unflattening,[status(thm)],[c_784]) ).
cnf(c_792,plain,
( singleton(sK12) != X0
| member(sK8(singleton(sK12),sK12),singleton(sK12))
| member(sK4(X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_189,c_761]) ).
cnf(c_793,plain,
( member(sK8(singleton(sK12),sK12),singleton(sK12))
| member(sK4(singleton(sK12)),singleton(sK12)) ),
inference(unflattening,[status(thm)],[c_792]) ).
cnf(c_800,plain,
( singleton(sK12) != X0
| ~ subset(sK8(singleton(sK12),sK12),sK12)
| member(sK5(X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_187,c_772]) ).
cnf(c_801,plain,
( ~ subset(sK8(singleton(sK12),sK12),sK12)
| member(sK5(singleton(sK12)),singleton(sK12)) ),
inference(unflattening,[status(thm)],[c_800]) ).
cnf(c_808,plain,
( singleton(sK12) != X0
| member(sK8(singleton(sK12),sK12),singleton(sK12))
| member(sK5(X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_187,c_761]) ).
cnf(c_809,plain,
( member(sK8(singleton(sK12),sK12),singleton(sK12))
| member(sK5(singleton(sK12)),singleton(sK12)) ),
inference(unflattening,[status(thm)],[c_808]) ).
cnf(c_848,plain,
( sK4(X0) != sK5(X0)
| singleton(sK12) != X0
| ~ subset(sK8(singleton(sK12),sK12),sK12) ),
inference(resolution_lifted,[status(thm)],[c_179,c_772]) ).
cnf(c_849,plain,
( sK4(singleton(sK12)) != sK5(singleton(sK12))
| ~ subset(sK8(singleton(sK12),sK12),sK12) ),
inference(unflattening,[status(thm)],[c_848]) ).
cnf(c_856,plain,
( sK4(X0) != sK5(X0)
| singleton(sK12) != X0
| member(sK8(singleton(sK12),sK12),singleton(sK12)) ),
inference(resolution_lifted,[status(thm)],[c_179,c_761]) ).
cnf(c_857,plain,
( sK4(singleton(sK12)) != sK5(singleton(sK12))
| member(sK8(singleton(sK12),sK12),singleton(sK12)) ),
inference(unflattening,[status(thm)],[c_856]) ).
cnf(c_1168,plain,
( member(sK8(singleton(sK12),sK12),singleton(sK12))
| member(sK4(singleton(sK12)),singleton(sK12)) ),
inference(prop_impl_just,[status(thm)],[c_793]) ).
cnf(c_1170,plain,
( member(sK8(singleton(sK12),sK12),singleton(sK12))
| member(sK5(singleton(sK12)),singleton(sK12)) ),
inference(prop_impl_just,[status(thm)],[c_809]) ).
cnf(c_1178,plain,
( ~ subset(sK8(singleton(sK12),sK12),sK12)
| member(sK4(singleton(sK12)),singleton(sK12)) ),
inference(prop_impl_just,[status(thm)],[c_785]) ).
cnf(c_1180,plain,
( ~ subset(sK8(singleton(sK12),sK12),sK12)
| member(sK5(singleton(sK12)),singleton(sK12)) ),
inference(prop_impl_just,[status(thm)],[c_801]) ).
cnf(c_1186,plain,
( ~ subset(sK8(singleton(sK12),sK12),sK12)
| sK4(singleton(sK12)) != sK5(singleton(sK12)) ),
inference(prop_impl_just,[status(thm)],[c_849]) ).
cnf(c_1187,plain,
( sK4(singleton(sK12)) != sK5(singleton(sK12))
| ~ subset(sK8(singleton(sK12),sK12),sK12) ),
inference(renaming,[status(thm)],[c_1186]) ).
cnf(c_1874,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_1875,plain,
( X0 != X1
| X2 != X3
| ~ subset(X1,X3)
| subset(X0,X2) ),
theory(equality) ).
cnf(c_2795,plain,
subset(X0,X0),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_2799,plain,
subset(sK12,sK12),
inference(instantiation,[status(thm)],[c_2795]) ).
cnf(c_3021,plain,
( sK8(singleton(sK12),sK12) != X0
| sK12 != X1
| ~ subset(X0,X1)
| subset(sK8(singleton(sK12),sK12),sK12) ),
inference(instantiation,[status(thm)],[c_1875]) ).
cnf(c_3022,plain,
( sK8(singleton(sK12),sK12) != sK12
| sK12 != sK12
| ~ subset(sK12,sK12)
| subset(sK8(singleton(sK12),sK12),sK12) ),
inference(instantiation,[status(thm)],[c_3021]) ).
cnf(c_3570,plain,
( sK8(singleton(sK12),sK12) = sK12
| member(sK4(singleton(sK12)),singleton(sK12)) ),
inference(superposition,[status(thm)],[c_1168,c_65]) ).
cnf(c_3796,plain,
( sK8(singleton(sK12),sK12) = sK12
| member(sK5(singleton(sK12)),singleton(sK12)) ),
inference(superposition,[status(thm)],[c_1170,c_65]) ).
cnf(c_3811,plain,
member(sK4(singleton(sK12)),singleton(sK12)),
inference(global_subsumption_just,[status(thm)],[c_1178,c_95,c_106,c_785,c_2799,c_3022,c_3570]) ).
cnf(c_3816,plain,
sK4(singleton(sK12)) = sK12,
inference(superposition,[status(thm)],[c_3811,c_65]) ).
cnf(c_3824,plain,
( sK5(singleton(sK12)) != sK12
| ~ subset(sK8(singleton(sK12),sK12),sK12) ),
inference(demodulation,[status(thm)],[c_1187,c_3816]) ).
cnf(c_3830,plain,
member(sK5(singleton(sK12)),singleton(sK12)),
inference(global_subsumption_just,[status(thm)],[c_1180,c_95,c_106,c_801,c_2799,c_3022,c_3796]) ).
cnf(c_3835,plain,
sK5(singleton(sK12)) = sK12,
inference(superposition,[status(thm)],[c_3830,c_65]) ).
cnf(c_5006,plain,
( sK4(singleton(sK12)) != X0
| sK5(singleton(sK12)) != X0
| sK4(singleton(sK12)) = sK5(singleton(sK12)) ),
inference(instantiation,[status(thm)],[c_1874]) ).
cnf(c_5007,plain,
( sK4(singleton(sK12)) != sK12
| sK5(singleton(sK12)) != sK12
| sK4(singleton(sK12)) = sK5(singleton(sK12)) ),
inference(instantiation,[status(thm)],[c_5006]) ).
cnf(c_6090,plain,
( ~ member(sK8(singleton(sK12),sK12),singleton(X0))
| sK8(singleton(sK12),sK12) = X0 ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_6091,plain,
( ~ member(sK8(singleton(sK12),sK12),singleton(sK12))
| sK8(singleton(sK12),sK12) = sK12 ),
inference(instantiation,[status(thm)],[c_6090]) ).
cnf(c_6092,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6091,c_5007,c_3835,c_3824,c_3816,c_3022,c_2799,c_857,c_106,c_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV521+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n018.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 Aug 24 03:52:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.36/1.12 % SZS status Started for theBenchmark.p
% 3.36/1.12 % SZS status Theorem for theBenchmark.p
% 3.36/1.12
% 3.36/1.12 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.36/1.12
% 3.36/1.12 ------ iProver source info
% 3.36/1.12
% 3.36/1.12 git: date: 2023-05-31 18:12:56 +0000
% 3.36/1.12 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.36/1.12 git: non_committed_changes: false
% 3.36/1.12 git: last_make_outside_of_git: false
% 3.36/1.12
% 3.36/1.12 ------ Parsing...
% 3.36/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.36/1.12
% 3.36/1.12 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 3.36/1.12
% 3.36/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.36/1.12
% 3.36/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.36/1.12 ------ Proving...
% 3.36/1.12 ------ Problem Properties
% 3.36/1.12
% 3.36/1.12
% 3.36/1.12 clauses 45
% 3.36/1.12 conjectures 1
% 3.36/1.12 EPR 3
% 3.36/1.12 Horn 34
% 3.36/1.12 unary 5
% 3.36/1.12 binary 28
% 3.36/1.12 lits 98
% 3.36/1.12 lits eq 9
% 3.36/1.12 fd_pure 0
% 3.36/1.12 fd_pseudo 0
% 3.36/1.12 fd_cond 0
% 3.36/1.12 fd_pseudo_cond 5
% 3.36/1.12 AC symbols 0
% 3.36/1.12
% 3.36/1.12 ------ Schedule dynamic 5 is on
% 3.36/1.12
% 3.36/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.36/1.12
% 3.36/1.12
% 3.36/1.12 ------
% 3.36/1.12 Current options:
% 3.36/1.12 ------
% 3.36/1.12
% 3.36/1.12
% 3.36/1.12
% 3.36/1.12
% 3.36/1.12 ------ Proving...
% 3.36/1.12
% 3.36/1.12
% 3.36/1.12 % SZS status Theorem for theBenchmark.p
% 3.36/1.12
% 3.36/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.36/1.12
% 3.36/1.13
%------------------------------------------------------------------------------