TSTP Solution File: NUM534+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM534+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 11:31:13 EDT 2023
% Result : Theorem 97.13s 13.76s
% Output : CNFRefutation 97.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 96 ( 12 unt; 0 def)
% Number of atoms : 501 ( 110 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 661 ( 256 ~; 281 |; 100 &)
% ( 18 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 220 ( 6 sgn; 127 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f15,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f17,axiom,
aSet0(xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__617) ).
fof(f18,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__617_02) ).
fof(f19,conjecture,
xS = sdtpldt0(sdtmndt0(xS,xx),xx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f20,negated_conjecture,
xS != sdtpldt0(sdtmndt0(xS,xx),xx),
inference(negated_conjecture,[],[f19]) ).
fof(f25,plain,
xS != sdtpldt0(sdtmndt0(xS,xx),xx),
inference(flattening,[],[f20]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f38,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f39,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f41,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f43,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> sP0(X1,X0,X2) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f44,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f39,f43,f42]) ).
fof(f45,plain,
! [X1,X0,X2] :
( sP2(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f46,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> sP2(X1,X0,X2) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f47,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f41,f46,f45]) ).
fof(f58,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| sdtpldt0(X0,X1) != X2 ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f43]) ).
fof(f59,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f60,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ( sK6(X0,X1,X2) != X0
& ~ aElementOf0(sK6(X0,X1,X2),X1) )
| ~ aElement0(sK6(X0,X1,X2))
| ~ aElementOf0(sK6(X0,X1,X2),X2) )
& ( ( ( sK6(X0,X1,X2) = X0
| aElementOf0(sK6(X0,X1,X2),X1) )
& aElement0(sK6(X0,X1,X2)) )
| aElementOf0(sK6(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ( sK6(X0,X1,X2) != X0
& ~ aElementOf0(sK6(X0,X1,X2),X1) )
| ~ aElement0(sK6(X0,X1,X2))
| ~ aElementOf0(sK6(X0,X1,X2),X2) )
& ( ( ( sK6(X0,X1,X2) = X0
| aElementOf0(sK6(X0,X1,X2),X1) )
& aElement0(sK6(X0,X1,X2)) )
| aElementOf0(sK6(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f61,f62]) ).
fof(f64,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP2(X1,X0,X2) )
& ( sP2(X1,X0,X2)
| sdtmndt0(X0,X1) != X2 ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f46]) ).
fof(f65,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f66,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X1,X0,X2) ) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( sK7(X0,X1,X2) = X0
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElement0(sK7(X0,X1,X2))
| ~ aElementOf0(sK7(X0,X1,X2),X2) )
& ( ( sK7(X0,X1,X2) != X0
& aElementOf0(sK7(X0,X1,X2),X1)
& aElement0(sK7(X0,X1,X2)) )
| aElementOf0(sK7(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ( sK7(X0,X1,X2) = X0
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElement0(sK7(X0,X1,X2))
| ~ aElementOf0(sK7(X0,X1,X2),X2) )
& ( ( sK7(X0,X1,X2) != X0
& aElementOf0(sK7(X0,X1,X2),X1)
& aElement0(sK7(X0,X1,X2)) )
| aElementOf0(sK7(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f67,f68]) ).
fof(f70,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f84,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP0(X1,X0,X2)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f90,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| aElement0(sK6(X0,X1,X2))
| aElementOf0(sK6(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f91,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK6(X0,X1,X2) = X0
| aElementOf0(sK6(X0,X1,X2),X1)
| aElementOf0(sK6(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f92,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ aElementOf0(sK6(X0,X1,X2),X1)
| ~ aElement0(sK6(X0,X1,X2))
| ~ aElementOf0(sK6(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f93,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK6(X0,X1,X2) != X0
| ~ aElement0(sK6(X0,X1,X2))
| ~ aElementOf0(sK6(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f94,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f95,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f97,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f99,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f101,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f106,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f107,plain,
aSet0(xS),
inference(cnf_transformation,[],[f17]) ).
fof(f108,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f18]) ).
fof(f109,plain,
xS != sdtpldt0(sdtmndt0(xS,xx),xx),
inference(cnf_transformation,[],[f25]) ).
fof(f114,plain,
! [X0,X1] :
( sP2(X1,X0,sdtmndt0(X0,X1))
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f95]) ).
cnf(c_49,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_62,plain,
( ~ sP0(X0,X1,X2)
| ~ sP1(X1,X0)
| sdtpldt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_64,plain,
( sK6(X0,X1,X2) != X0
| ~ aElementOf0(sK6(X0,X1,X2),X2)
| ~ aElement0(sK6(X0,X1,X2))
| ~ aSet0(X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_65,plain,
( ~ aElementOf0(sK6(X0,X1,X2),X1)
| ~ aElementOf0(sK6(X0,X1,X2),X2)
| ~ aElement0(sK6(X0,X1,X2))
| ~ aSet0(X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_66,plain,
( ~ aSet0(X0)
| sK6(X1,X2,X0) = X1
| aElementOf0(sK6(X1,X2,X0),X0)
| aElementOf0(sK6(X1,X2,X0),X2)
| sP0(X1,X2,X0) ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_67,plain,
( ~ aSet0(X0)
| aElementOf0(sK6(X1,X2,X0),X0)
| aElement0(sK6(X1,X2,X0))
| sP0(X1,X2,X0) ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_73,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_75,plain,
( ~ sP3(X0,X1)
| sP2(X1,X0,sdtmndt0(X0,X1)) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_80,plain,
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| X0 = X3
| aElementOf0(X3,X2) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_82,plain,
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X3,X2)
| aElementOf0(X3,X1) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_84,plain,
( ~ sP2(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_85,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP3(X1,X0) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_86,plain,
aSet0(xS),
inference(cnf_transformation,[],[f107]) ).
cnf(c_87,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f108]) ).
cnf(c_88,negated_conjecture,
sdtpldt0(sdtmndt0(xS,xx),xx) != xS,
inference(cnf_transformation,[],[f109]) ).
cnf(c_151,plain,
( ~ aSet0(X0)
| aElement0(sK6(X1,X2,X0))
| sP0(X1,X2,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_67,c_49]) ).
cnf(c_155,plain,
( ~ aElementOf0(sK6(X0,X1,X2),X1)
| ~ aElementOf0(sK6(X0,X1,X2),X2)
| ~ aSet0(X2)
| sP0(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_65,c_49]) ).
cnf(c_156,plain,
( sK6(X0,X1,X2) != X0
| ~ aElementOf0(sK6(X0,X1,X2),X2)
| ~ aSet0(X2)
| sP0(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_64,c_49]) ).
cnf(c_373,plain,
( X0 != X1
| X2 != X3
| ~ sP0(X1,X3,X4)
| ~ aElement0(X0)
| ~ aSet0(X2)
| sdtpldt0(X3,X1) = X4 ),
inference(resolution_lifted,[status(thm)],[c_73,c_62]) ).
cnf(c_374,plain,
( ~ sP0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aSet0(X1)
| sdtpldt0(X1,X0) = X2 ),
inference(unflattening,[status(thm)],[c_373]) ).
cnf(c_422,plain,
( X0 != X1
| X2 != X3
| ~ aElement0(X0)
| ~ aSet0(X2)
| sP2(X1,X3,sdtmndt0(X3,X1)) ),
inference(resolution_lifted,[status(thm)],[c_85,c_75]) ).
cnf(c_423,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP2(X0,X1,sdtmndt0(X1,X0)) ),
inference(unflattening,[status(thm)],[c_422]) ).
cnf(c_4176,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_4178,plain,
( X0 != X1
| X2 != X3
| ~ aElementOf0(X1,X3)
| aElementOf0(X0,X2) ),
theory(equality) ).
cnf(c_4751,plain,
( ~ sP0(xx,sdtmndt0(xS,xx),xS)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(xx)
| sdtpldt0(sdtmndt0(xS,xx),xx) = xS ),
inference(instantiation,[status(thm)],[c_374]) ).
cnf(c_4761,plain,
( ~ aElementOf0(xx,X0)
| ~ aSet0(X0)
| aElement0(xx) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_4818,plain,
( ~ aElementOf0(xx,xS)
| ~ aSet0(xS)
| aElement0(xx) ),
inference(instantiation,[status(thm)],[c_4761]) ).
cnf(c_4851,plain,
( ~ sP2(X0,X1,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_5008,plain,
( ~ sP2(xx,xS,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) ),
inference(instantiation,[status(thm)],[c_4851]) ).
cnf(c_5087,plain,
( X0 != xx
| X1 != xS
| ~ aElementOf0(xx,xS)
| aElementOf0(X0,X1) ),
inference(instantiation,[status(thm)],[c_4178]) ).
cnf(c_5133,plain,
( ~ aElement0(xx)
| ~ aSet0(xS)
| sP2(xx,xS,sdtmndt0(xS,xx)) ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_6286,plain,
( ~ aSet0(xS)
| aElement0(sK6(xx,sdtmndt0(xS,xx),xS))
| sP0(xx,sdtmndt0(xS,xx),xS) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_6477,plain,
( sK6(xx,sdtmndt0(xS,xx),xS) != xx
| ~ aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),xS)
| ~ aSet0(xS)
| sP0(xx,sdtmndt0(xS,xx),xS) ),
inference(instantiation,[status(thm)],[c_156]) ).
cnf(c_6481,plain,
( ~ aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),sdtmndt0(xS,xx))
| ~ aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),xS)
| ~ aSet0(xS)
| sP0(xx,sdtmndt0(xS,xx),xS) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_6485,plain,
( ~ aSet0(xS)
| sK6(xx,sdtmndt0(xS,xx),xS) = xx
| aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),sdtmndt0(xS,xx))
| aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),xS)
| sP0(xx,sdtmndt0(xS,xx),xS) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_6993,plain,
( sK6(xx,sdtmndt0(xS,xx),xS) != xx
| X0 != xS
| ~ aElementOf0(xx,xS)
| aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),X0) ),
inference(instantiation,[status(thm)],[c_5087]) ).
cnf(c_13363,plain,
( sK6(xx,sdtmndt0(xS,xx),xS) != xx
| xS != xS
| ~ aElementOf0(xx,xS)
| aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),xS) ),
inference(instantiation,[status(thm)],[c_6993]) ).
cnf(c_13364,plain,
( sK6(xx,sdtmndt0(xS,xx),xS) != xx
| ~ aElementOf0(xx,xS)
| aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),xS) ),
inference(equality_resolution_simp,[status(thm)],[c_13363]) ).
cnf(c_28365,plain,
( ~ sP2(xx,X0,X1)
| ~ aElementOf0(X2,X0)
| ~ aElement0(X2)
| xx = X2
| aElementOf0(X2,X1) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_28983,plain,
( ~ aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),sdtmndt0(xS,xx))
| ~ sP2(X0,X1,sdtmndt0(xS,xx))
| aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),X1) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_29055,plain,
( ~ aElementOf0(sK6(X0,X1,X2),X3)
| ~ aElement0(sK6(X0,X1,X2))
| ~ sP2(xx,X3,X4)
| xx = sK6(X0,X1,X2)
| aElementOf0(sK6(X0,X1,X2),X4) ),
inference(instantiation,[status(thm)],[c_28365]) ).
cnf(c_29235,plain,
( sK6(xx,sdtmndt0(xS,xx),xS) != X0
| X1 != X0
| sK6(xx,sdtmndt0(xS,xx),xS) = X1 ),
inference(instantiation,[status(thm)],[c_4176]) ).
cnf(c_29704,plain,
( ~ aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),sdtmndt0(xS,xx))
| ~ sP2(xx,xS,sdtmndt0(xS,xx))
| aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),xS) ),
inference(instantiation,[status(thm)],[c_28983]) ).
cnf(c_31918,plain,
( ~ aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),xS)
| ~ aElement0(sK6(xx,sdtmndt0(xS,xx),xS))
| ~ sP2(xx,xS,X0)
| xx = sK6(xx,sdtmndt0(xS,xx),xS)
| aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),X0) ),
inference(instantiation,[status(thm)],[c_29055]) ).
cnf(c_35280,plain,
( sK6(xx,sdtmndt0(xS,xx),xS) != sK6(xx,sdtmndt0(xS,xx),xS)
| X0 != sK6(xx,sdtmndt0(xS,xx),xS)
| sK6(xx,sdtmndt0(xS,xx),xS) = X0 ),
inference(instantiation,[status(thm)],[c_29235]) ).
cnf(c_35281,plain,
( X0 != sK6(xx,sdtmndt0(xS,xx),xS)
| sK6(xx,sdtmndt0(xS,xx),xS) = X0 ),
inference(equality_resolution_simp,[status(thm)],[c_35280]) ).
cnf(c_69160,plain,
( ~ aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),xS)
| ~ aElement0(sK6(xx,sdtmndt0(xS,xx),xS))
| ~ sP2(xx,xS,sdtmndt0(xS,xx))
| xx = sK6(xx,sdtmndt0(xS,xx),xS)
| aElementOf0(sK6(xx,sdtmndt0(xS,xx),xS),sdtmndt0(xS,xx)) ),
inference(instantiation,[status(thm)],[c_31918]) ).
cnf(c_77914,plain,
( xx != sK6(xx,sdtmndt0(xS,xx),xS)
| sK6(xx,sdtmndt0(xS,xx),xS) = xx ),
inference(instantiation,[status(thm)],[c_35281]) ).
cnf(c_77915,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_77914,c_69160,c_29704,c_13364,c_6485,c_6481,c_6477,c_6286,c_5133,c_5008,c_4818,c_4751,c_88,c_87,c_86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM534+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 16:22:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 97.13/13.76 % SZS status Started for theBenchmark.p
% 97.13/13.76 % SZS status Theorem for theBenchmark.p
% 97.13/13.76
% 97.13/13.76 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 97.13/13.76
% 97.13/13.76 ------ iProver source info
% 97.13/13.76
% 97.13/13.76 git: date: 2023-05-31 18:12:56 +0000
% 97.13/13.76 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 97.13/13.76 git: non_committed_changes: false
% 97.13/13.76 git: last_make_outside_of_git: false
% 97.13/13.76
% 97.13/13.76 ------ Parsing...
% 97.13/13.76 ------ Clausification by vclausify_rel & Parsing by iProver...
% 97.13/13.76
% 97.13/13.76 ------ Preprocessing... sup_sim: 0 sf_s rm: 4 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
% 97.13/13.76
% 97.13/13.76 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 97.13/13.76
% 97.13/13.76 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 97.13/13.76 ------ Proving...
% 97.13/13.76 ------ Problem Properties
% 97.13/13.76
% 97.13/13.76
% 97.13/13.76 clauses 36
% 97.13/13.76 conjectures 1
% 97.13/13.76 EPR 20
% 97.13/13.76 Horn 26
% 97.13/13.76 unary 5
% 97.13/13.76 binary 4
% 97.13/13.76 lits 114
% 97.13/13.76 lits eq 11
% 97.13/13.76 fd_pure 0
% 97.13/13.76 fd_pseudo 0
% 97.13/13.76 fd_cond 1
% 97.13/13.76 fd_pseudo_cond 5
% 97.13/13.76 AC symbols 0
% 97.13/13.76
% 97.13/13.76 ------ Input Options Time Limit: Unbounded
% 97.13/13.76
% 97.13/13.76
% 97.13/13.76 ------
% 97.13/13.76 Current options:
% 97.13/13.76 ------
% 97.13/13.76
% 97.13/13.76
% 97.13/13.76
% 97.13/13.76
% 97.13/13.76 ------ Proving...
% 97.13/13.76
% 97.13/13.76
% 97.13/13.76 % SZS status Theorem for theBenchmark.p
% 97.13/13.76
% 97.13/13.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 97.13/13.76
% 97.13/13.78
%------------------------------------------------------------------------------