TSTP Solution File: NUM535+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM535+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 02:49:47 EDT 2024
% Result : Theorem 24.45s 4.20s
% Output : CNFRefutation 24.45s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
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,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f20,negated_conjecture,
~ ( aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(negated_conjecture,[],[f19]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f28,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f32,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f34,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f33]) ).
fof(f37,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(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(flattening,[],[f37]) ).
fof(f39,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(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(flattening,[],[f39]) ).
fof(f41,plain,
( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(ennf_transformation,[],[f20]) ).
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,[],[f38,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,[],[f40,f46,f45]) ).
fof(f48,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f49,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f49]) ).
fof(f51,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f50,f51]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f29]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f55,f56]) ).
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,[],[f27]) ).
fof(f71,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f72,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f73,plain,
! [X0] :
( slcrc0 = X0
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f75,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f76,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f77,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f78,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f80,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f81,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f83,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f85,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f87,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f88,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f89,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP0(X0,X1,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(f96,plain,
! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP2(X1,X0,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(f98,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,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(f100,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ 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(f102,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aElement0(sK7(X0,X1,X2))
| aElementOf0(sK7(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f103,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| aElementOf0(sK7(X0,X1,X2),X1)
| aElementOf0(sK7(X0,X1,X2),X2)
| ~ aSet0(X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f105,plain,
! [X2,X0,X1] :
( 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)
| ~ aSet0(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,
( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f110,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f72]) ).
fof(f111,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f71]) ).
fof(f112,plain,
! [X0,X1] :
( sP0(X1,X0,sdtpldt0(X0,X1))
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f83]) ).
fof(f113,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP0(X4,X1,X2) ),
inference(equality_resolution,[],[f89]) ).
fof(f114,plain,
! [X0,X1] :
( sP2(X1,X0,sdtmndt0(X0,X1))
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f95]) ).
fof(f115,plain,
! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP2(X4,X1,X2) ),
inference(equality_resolution,[],[f100]) ).
cnf(c_49,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_50,plain,
( ~ aSet0(X0)
| X0 = slcrc0
| aElementOf0(sK4(X0),X0) ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_51,plain,
~ aElementOf0(X0,slcrc0),
inference(cnf_transformation,[],[f110]) ).
cnf(c_52,plain,
aSet0(slcrc0),
inference(cnf_transformation,[],[f111]) ).
cnf(c_54,plain,
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f78]) ).
cnf(c_55,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK5(X1,X0),X0)
| aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_56,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_57,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_59,plain,
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_60,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_63,plain,
( ~ sP1(X0,X1)
| sP0(X1,X0,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_68,plain,
( ~ sP0(X0,X1,X2)
| ~ aElement0(X0)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_69,plain,
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| aElementOf0(X3,X2) ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_70,plain,
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X3,X2)
| X0 = X3
| aElementOf0(X3,X1) ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_72,plain,
( ~ sP0(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_73,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_74,plain,
( ~ sP2(X0,X1,X2)
| ~ sP3(X1,X0)
| sdtmndt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_75,plain,
( ~ sP3(X0,X1)
| sP2(X1,X0,sdtmndt0(X0,X1)) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_76,plain,
( ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElementOf0(sK7(X0,X1,X2),X2)
| ~ aElement0(sK7(X0,X1,X2))
| ~ aSet0(X2)
| sK7(X0,X1,X2) = X0
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_78,plain,
( ~ aSet0(X0)
| aElementOf0(sK7(X1,X2,X0),X0)
| aElementOf0(sK7(X1,X2,X0),X2)
| sP2(X1,X2,X0) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_79,plain,
( ~ aSet0(X0)
| aElementOf0(sK7(X1,X2,X0),X0)
| aElement0(sK7(X1,X2,X0))
| sP2(X1,X2,X0) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_80,plain,
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| X0 = X3
| aElementOf0(X3,X2) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_81,plain,
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_82,plain,
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X3,X2)
| aElementOf0(X3,X1) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_83,plain,
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X3,X2)
| aElement0(X3) ),
inference(cnf_transformation,[],[f98]) ).
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,
( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_90,plain,
( ~ aSet0(xS)
| aSubsetOf0(xS,xS) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_100,plain,
( ~ aSet0(xS)
| xS = slcrc0
| aElementOf0(sK4(xS),xS) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_105,plain,
( ~ aSubsetOf0(xS,xS)
| ~ aSet0(xS)
| xS = xS ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_110,plain,
( ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| X0 = X1 ),
inference(global_subsumption_just,[status(thm)],[c_60,c_57,c_60]) ).
cnf(c_111,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| X0 = X1 ),
inference(renaming,[status(thm)],[c_110]) ).
cnf(c_156,plain,
( ~ aSet0(X0)
| aElement0(sK7(X1,X2,X0))
| sP2(X1,X2,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_79,c_49]) ).
cnf(c_160,plain,
( ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElementOf0(sK7(X0,X1,X2),X2)
| ~ aSet0(X2)
| sK7(X0,X1,X2) = X0
| sP2(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_76,c_49]) ).
cnf(c_627,plain,
( X0 != X1
| X2 != X3
| ~ aElement0(X0)
| ~ aSet0(X2)
| sP0(X1,X3,sdtpldt0(X3,X1)) ),
inference(resolution_lifted,[status(thm)],[c_73,c_63]) ).
cnf(c_628,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP0(X0,X1,sdtpldt0(X1,X0)) ),
inference(unflattening,[status(thm)],[c_627]) ).
cnf(c_646,plain,
( X0 != X1
| X2 != X3
| ~ sP2(X1,X3,X4)
| ~ aElement0(X0)
| ~ aSet0(X2)
| sdtmndt0(X3,X1) = X4 ),
inference(resolution_lifted,[status(thm)],[c_85,c_74]) ).
cnf(c_647,plain,
( ~ sP2(X0,X1,X2)
| ~ aElement0(X0)
| ~ aSet0(X1)
| sdtmndt0(X1,X0) = X2 ),
inference(unflattening,[status(thm)],[c_646]) ).
cnf(c_661,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_662,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP2(X0,X1,sdtmndt0(X1,X0)) ),
inference(unflattening,[status(thm)],[c_661]) ).
cnf(c_1398,plain,
( sdtpldt0(X3,X1) != X4
| X0 != X1
| X2 != X3
| ~ aElementOf0(X5,X2)
| ~ aElement0(X1)
| ~ aElement0(X5)
| ~ aSet0(X3)
| aElementOf0(X5,X4) ),
inference(resolution_lifted,[status(thm)],[c_69,c_628]) ).
cnf(c_1399,plain,
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(unflattening,[status(thm)],[c_1398]) ).
cnf(c_1401,plain,
( ~ aElementOf0(X0,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_1399,c_49,c_1399]) ).
cnf(c_4649,plain,
sdtmndt0(xS,xx) = sP0_iProver_def,
definition ).
cnf(c_4650,plain,
sdtpldt0(sP0_iProver_def,xx) = sP1_iProver_def,
definition ).
cnf(c_4651,negated_conjecture,
( ~ aSubsetOf0(xS,sP1_iProver_def)
| ~ aSubsetOf0(sP1_iProver_def,xS) ),
inference(demodulation,[status(thm)],[c_88,c_4649,c_4650]) ).
cnf(c_4652,plain,
X0 = X0,
theory(equality) ).
cnf(c_4654,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_4655,plain,
( X0 != X1
| ~ aElement0(X1)
| aElement0(X0) ),
theory(equality) ).
cnf(c_4656,plain,
( X0 != X1
| X2 != X3
| ~ aElementOf0(X1,X3)
| aElementOf0(X0,X2) ),
theory(equality) ).
cnf(c_4658,plain,
( X0 != X1
| X2 != X3
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X0,X2) ),
theory(equality) ).
cnf(c_4662,plain,
( X0 != X1
| ~ sP2(X2,X3,X1)
| sP2(X2,X3,X0) ),
theory(equality) ).
cnf(c_5269,plain,
( ~ aSet0(xS)
| aElement0(xx) ),
inference(superposition,[status(thm)],[c_87,c_49]) ).
cnf(c_5270,plain,
aElement0(xx),
inference(forward_subsumption_resolution,[status(thm)],[c_5269,c_86]) ).
cnf(c_5296,plain,
( ~ aSet0(X0)
| X0 = slcrc0
| aElement0(sK4(X0)) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_5301,plain,
( ~ aSet0(xS)
| xS = slcrc0
| aElement0(sK4(xS)) ),
inference(instantiation,[status(thm)],[c_5296]) ).
cnf(c_5350,plain,
( ~ aElement0(xx)
| ~ aSet0(sP0_iProver_def)
| sP0(xx,sP0_iProver_def,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_4650,c_628]) ).
cnf(c_5357,plain,
( ~ aSet0(sP0_iProver_def)
| sP0(xx,sP0_iProver_def,sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5350,c_5270]) ).
cnf(c_5372,plain,
( ~ aElement0(xx)
| ~ aSet0(sP0_iProver_def)
| aElementOf0(xx,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_5357,c_68]) ).
cnf(c_5373,plain,
( ~ aSet0(sP0_iProver_def)
| aSet0(sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_5357,c_72]) ).
cnf(c_5376,plain,
( ~ aSet0(sP0_iProver_def)
| aElementOf0(xx,sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5372,c_5270]) ).
cnf(c_5474,plain,
( ~ aElementOf0(X0,sP0_iProver_def)
| ~ aElement0(X0)
| ~ aSet0(sP0_iProver_def)
| aElementOf0(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_5357,c_69]) ).
cnf(c_5555,plain,
( ~ aElement0(xx)
| ~ aSet0(xS)
| sP2(xx,xS,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_4649,c_662]) ).
cnf(c_5563,plain,
sP2(xx,xS,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_5555,c_86,c_5270]) ).
cnf(c_5575,plain,
( ~ aElementOf0(X0,sP0_iProver_def)
| aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5563,c_82]) ).
cnf(c_5576,plain,
( ~ aElementOf0(X0,sP0_iProver_def)
| aElement0(X0) ),
inference(superposition,[status(thm)],[c_5563,c_83]) ).
cnf(c_5578,plain,
aSet0(sP0_iProver_def),
inference(superposition,[status(thm)],[c_5563,c_84]) ).
cnf(c_5584,plain,
aSet0(sP1_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_5373,c_5578]) ).
cnf(c_5586,plain,
sP0(xx,sP0_iProver_def,sP1_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_5357,c_5578]) ).
cnf(c_5661,plain,
( ~ aSet0(slcrc0)
| aElementOf0(sK7(X0,X1,slcrc0),X1)
| sP2(X0,X1,slcrc0) ),
inference(superposition,[status(thm)],[c_78,c_51]) ).
cnf(c_5663,plain,
( ~ aSet0(X0)
| aElementOf0(sK7(X1,X0,X0),X0)
| sP2(X1,X0,X0) ),
inference(equality_factoring,[status(thm)],[c_78]) ).
cnf(c_5668,plain,
( aElementOf0(sK7(X0,X1,slcrc0),X1)
| sP2(X0,X1,slcrc0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5661,c_52]) ).
cnf(c_5712,plain,
( ~ aElementOf0(sK5(sP1_iProver_def,xS),sP1_iProver_def)
| ~ aSet0(xS)
| ~ aSet0(sP1_iProver_def)
| aSubsetOf0(xS,sP1_iProver_def) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_5713,plain,
( ~ aSet0(xS)
| ~ aSet0(sP1_iProver_def)
| aElementOf0(sK5(sP1_iProver_def,xS),xS)
| aSubsetOf0(xS,sP1_iProver_def) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_5724,plain,
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aSet0(X1)
| X0 = X2
| aElementOf0(X0,sdtmndt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_662,c_80]) ).
cnf(c_5725,plain,
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| X0 = xx
| aElementOf0(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_5563,c_80]) ).
cnf(c_5737,plain,
( ~ aSubsetOf0(xS,X0)
| ~ aElementOf0(xx,xS)
| ~ aSet0(X0)
| aElementOf0(xx,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_5747,plain,
( ~ aElementOf0(X0,sP1_iProver_def)
| X0 = xx
| aElementOf0(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_5586,c_70]) ).
cnf(c_5748,plain,
( ~ aElementOf0(X0,sP0_iProver_def)
| ~ aElement0(X0)
| aElementOf0(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_5586,c_69]) ).
cnf(c_5795,plain,
( ~ sP2(xx,X0,xS)
| ~ aElementOf0(xx,xS) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_5796,plain,
( ~ sP2(xx,xS,xS)
| ~ aElementOf0(xx,xS) ),
inference(instantiation,[status(thm)],[c_5795]) ).
cnf(c_5833,plain,
( X0 != xx
| X1 != xS
| ~ aElementOf0(xx,xS)
| aElementOf0(X0,X1) ),
inference(instantiation,[status(thm)],[c_4656]) ).
cnf(c_5836,plain,
( ~ aElementOf0(sK5(xS,sP1_iProver_def),xS)
| ~ aSet0(xS)
| ~ aSet0(sP1_iProver_def)
| aSubsetOf0(sP1_iProver_def,xS) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_5845,plain,
( ~ aSet0(X0)
| ~ aSet0(sP0_iProver_def)
| aElementOf0(sK5(X0,sP0_iProver_def),xS)
| aSubsetOf0(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_55,c_5575]) ).
cnf(c_5852,plain,
( ~ aSet0(X0)
| aElementOf0(sK5(X0,sP0_iProver_def),xS)
| aSubsetOf0(sP0_iProver_def,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5845,c_5578]) ).
cnf(c_5886,plain,
( ~ aSet0(X0)
| ~ aElement0(xx)
| sP2(xx,X0,sdtmndt0(X0,xx)) ),
inference(instantiation,[status(thm)],[c_662]) ).
cnf(c_5894,plain,
( ~ aElement0(xx)
| ~ aSet0(xS)
| sP2(xx,xS,sdtmndt0(xS,xx)) ),
inference(instantiation,[status(thm)],[c_5886]) ).
cnf(c_5896,plain,
( X0 != xx
| ~ aElement0(xx)
| aElement0(X0) ),
inference(instantiation,[status(thm)],[c_4655]) ).
cnf(c_5928,plain,
sP2(X0,slcrc0,slcrc0),
inference(superposition,[status(thm)],[c_5668,c_51]) ).
cnf(c_6108,plain,
( xS != X0
| ~ sP2(xx,X1,X0)
| sP2(xx,X1,xS) ),
inference(instantiation,[status(thm)],[c_4662]) ).
cnf(c_6125,plain,
( ~ aElementOf0(xx,xS)
| ~ aSubsetOf0(xS,slcrc0)
| ~ aSet0(slcrc0)
| aElementOf0(xx,slcrc0) ),
inference(instantiation,[status(thm)],[c_5737]) ).
cnf(c_6126,plain,
~ aElementOf0(xx,slcrc0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_6149,plain,
( ~ aElementOf0(X0,sP0_iProver_def)
| aElementOf0(X0,sP1_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_5748,c_5474,c_5578,c_5576]) ).
cnf(c_6160,plain,
( ~ aSet0(X0)
| aElementOf0(sK7(X1,sP0_iProver_def,X0),X0)
| aElementOf0(sK7(X1,sP0_iProver_def,X0),sP1_iProver_def)
| sP2(X1,sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_78,c_6149]) ).
cnf(c_6266,plain,
( ~ aSet0(X0)
| ~ aSet0(sP1_iProver_def)
| sK5(X0,sP1_iProver_def) = xx
| aElementOf0(sK5(X0,sP1_iProver_def),sP0_iProver_def)
| aSubsetOf0(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_55,c_5747]) ).
cnf(c_6294,plain,
( ~ aSet0(X0)
| sK5(X0,sP1_iProver_def) = xx
| aElementOf0(sK5(X0,sP1_iProver_def),sP0_iProver_def)
| aSubsetOf0(sP1_iProver_def,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6266,c_5584]) ).
cnf(c_6366,plain,
( ~ aSet0(xS)
| ~ aSet0(sP0_iProver_def)
| aSubsetOf0(sP0_iProver_def,xS) ),
inference(superposition,[status(thm)],[c_5852,c_54]) ).
cnf(c_6367,plain,
aSubsetOf0(sP0_iProver_def,xS),
inference(forward_subsumption_resolution,[status(thm)],[c_6366,c_5578,c_86]) ).
cnf(c_6473,plain,
( ~ aSet0(xS)
| aElement0(xx) ),
inference(superposition,[status(thm)],[c_87,c_49]) ).
cnf(c_6474,plain,
aElement0(xx),
inference(forward_subsumption_resolution,[status(thm)],[c_6473,c_86]) ).
cnf(c_6669,plain,
( ~ aSet0(X0)
| ~ aSet0(sP1_iProver_def)
| aElementOf0(sK5(X0,sP1_iProver_def),sP1_iProver_def)
| aSubsetOf0(sP1_iProver_def,X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_6748,plain,
sP1_iProver_def = sP1_iProver_def,
inference(instantiation,[status(thm)],[c_4652]) ).
cnf(c_6848,plain,
( slcrc0 != X0
| xS != X1
| ~ aSubsetOf0(X1,X0)
| aSubsetOf0(xS,slcrc0) ),
inference(instantiation,[status(thm)],[c_4658]) ).
cnf(c_6849,plain,
( slcrc0 != xS
| xS != xS
| ~ aSubsetOf0(xS,xS)
| aSubsetOf0(xS,slcrc0) ),
inference(instantiation,[status(thm)],[c_6848]) ).
cnf(c_6860,plain,
( ~ aElementOf0(sK7(X0,X1,X1),X1)
| ~ aSet0(X1)
| sK7(X0,X1,X1) = X0
| sP2(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_5663,c_160]) ).
cnf(c_7239,plain,
( ~ aElement0(sK4(xS))
| ~ aSet0(xS)
| sK4(xS) = xx
| slcrc0 = xS
| aElementOf0(sK4(xS),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_50,c_5725]) ).
cnf(c_7258,plain,
( ~ aElement0(sK4(xS))
| sK4(xS) = xx
| slcrc0 = xS
| aElementOf0(sK4(xS),sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7239,c_86]) ).
cnf(c_7396,plain,
( ~ aSubsetOf0(xS,sP0_iProver_def)
| ~ aSet0(xS)
| xS = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_6367,c_111]) ).
cnf(c_7401,plain,
( ~ aSubsetOf0(xS,sP0_iProver_def)
| xS = sP0_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_7396,c_86]) ).
cnf(c_7544,plain,
( xS != sdtmndt0(X0,xx)
| ~ sP2(xx,X0,sdtmndt0(X0,xx))
| sP2(xx,X0,xS) ),
inference(instantiation,[status(thm)],[c_6108]) ).
cnf(c_7545,plain,
( xS != sdtmndt0(xS,xx)
| ~ sP2(xx,xS,sdtmndt0(xS,xx))
| sP2(xx,xS,xS) ),
inference(instantiation,[status(thm)],[c_7544]) ).
cnf(c_8709,plain,
( ~ aElement0(X0)
| ~ aSet0(slcrc0)
| sdtmndt0(slcrc0,X0) = slcrc0 ),
inference(superposition,[status(thm)],[c_5928,c_647]) ).
cnf(c_8710,plain,
( ~ aElement0(X0)
| sdtmndt0(slcrc0,X0) = slcrc0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_8709,c_52]) ).
cnf(c_8873,plain,
( ~ aSet0(X0)
| sdtmndt0(slcrc0,sK7(X1,X2,X0)) = slcrc0
| sP2(X1,X2,X0) ),
inference(superposition,[status(thm)],[c_156,c_8710]) ).
cnf(c_9413,plain,
( slcrc0 != X0
| xS != X0
| slcrc0 = xS ),
inference(instantiation,[status(thm)],[c_4654]) ).
cnf(c_9575,plain,
( ~ aElement0(xx)
| ~ aSet0(xS)
| sP2(xx,xS,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_4649,c_662]) ).
cnf(c_9584,plain,
sP2(xx,xS,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_9575,c_86,c_6474]) ).
cnf(c_9882,plain,
aSet0(sP0_iProver_def),
inference(superposition,[status(thm)],[c_9584,c_84]) ).
cnf(c_10598,plain,
( sdtmndt0(X0,xx) != X1
| xS != X1
| xS = sdtmndt0(X0,xx) ),
inference(instantiation,[status(thm)],[c_4654]) ).
cnf(c_11778,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| sdtmndt0(slcrc0,sK7(X0,X2,X1)) = slcrc0 ),
inference(superposition,[status(thm)],[c_8873,c_81]) ).
cnf(c_14758,plain,
slcrc0 = slcrc0,
inference(instantiation,[status(thm)],[c_4652]) ).
cnf(c_16161,plain,
( slcrc0 != slcrc0
| xS != slcrc0
| slcrc0 = xS ),
inference(instantiation,[status(thm)],[c_9413]) ).
cnf(c_17989,plain,
( ~ aSet0(X0)
| sK5(X0,sP1_iProver_def) = xx
| aElementOf0(sK5(X0,sP1_iProver_def),sP1_iProver_def)
| aSubsetOf0(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_6294,c_6149]) ).
cnf(c_17990,plain,
( ~ aSet0(X0)
| sK5(X0,sP1_iProver_def) = xx
| aElementOf0(sK5(X0,sP1_iProver_def),xS)
| aSubsetOf0(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_6294,c_5575]) ).
cnf(c_18358,plain,
( sdtmndt0(xS,xx) != sP0_iProver_def
| xS != sP0_iProver_def
| xS = sdtmndt0(xS,xx) ),
inference(instantiation,[status(thm)],[c_10598]) ).
cnf(c_20646,plain,
( sK4(xS) = xx
| aElementOf0(sK4(xS),sP0_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_7258,c_86,c_52,c_87,c_90,c_105,c_5301,c_6125,c_6126,c_6849,c_7258,c_14758,c_16161]) ).
cnf(c_20674,plain,
( sK4(xS) = xx
| aElementOf0(sK4(xS),xS) ),
inference(superposition,[status(thm)],[c_20646,c_5575]) ).
cnf(c_21306,plain,
aElementOf0(sK4(xS),xS),
inference(global_subsumption_just,[status(thm)],[c_20674,c_86,c_52,c_87,c_90,c_100,c_105,c_6125,c_6126,c_6849,c_14758,c_16161]) ).
cnf(c_21310,plain,
( ~ aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| aElementOf0(sK4(xS),X0) ),
inference(superposition,[status(thm)],[c_21306,c_56]) ).
cnf(c_21350,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK4(xS),X1) ),
inference(superposition,[status(thm)],[c_21310,c_56]) ).
cnf(c_21380,plain,
( ~ aSubsetOf0(xS,sP0_iProver_def)
| ~ aSet0(sP0_iProver_def)
| aElementOf0(sK4(xS),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_21310,c_6149]) ).
cnf(c_21384,plain,
( ~ aSubsetOf0(xS,sP0_iProver_def)
| aElementOf0(sK4(xS),sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21380,c_5578]) ).
cnf(c_21533,plain,
~ aSubsetOf0(xS,sP0_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_21384,c_86,c_87,c_4649,c_5270,c_5796,c_5894,c_7401,c_7545,c_18358]) ).
cnf(c_25243,plain,
( ~ aSet0(X0)
| aElementOf0(sK5(X0,sP1_iProver_def),sP1_iProver_def)
| aSubsetOf0(sP1_iProver_def,X0) ),
inference(global_subsumption_just,[status(thm)],[c_17989,c_5584,c_6669]) ).
cnf(c_25257,plain,
( ~ aSet0(sP1_iProver_def)
| aSubsetOf0(sP1_iProver_def,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_25243,c_54]) ).
cnf(c_25263,plain,
aSubsetOf0(sP1_iProver_def,sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_25257,c_5584]) ).
cnf(c_26593,plain,
( ~ aSet0(xS)
| ~ aSet0(sP1_iProver_def)
| sK5(xS,sP1_iProver_def) = xx
| aSubsetOf0(sP1_iProver_def,xS) ),
inference(superposition,[status(thm)],[c_17990,c_54]) ).
cnf(c_26595,plain,
( sK5(xS,sP1_iProver_def) = xx
| aSubsetOf0(sP1_iProver_def,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26593,c_5584,c_86]) ).
cnf(c_26622,plain,
( ~ aSubsetOf0(xS,sP1_iProver_def)
| sK5(xS,sP1_iProver_def) = xx ),
inference(superposition,[status(thm)],[c_26595,c_4651]) ).
cnf(c_26947,plain,
( ~ aSet0(xS)
| aElement0(xx) ),
inference(superposition,[status(thm)],[c_87,c_49]) ).
cnf(c_26948,plain,
aElement0(xx),
inference(forward_subsumption_resolution,[status(thm)],[c_26947,c_86]) ).
cnf(c_27176,plain,
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_628,c_69]) ).
cnf(c_27179,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| aSet0(sdtpldt0(X1,X0)) ),
inference(superposition,[status(thm)],[c_628,c_72]) ).
cnf(c_27368,plain,
( ~ aElementOf0(X0,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_27176,c_1401]) ).
cnf(c_27381,plain,
( ~ aElementOf0(sK5(sdtpldt0(X0,X1),X2),X0)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_27368,c_54]) ).
cnf(c_27930,plain,
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aSet0(X1)
| X0 = X2
| aElementOf0(X0,sdtmndt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_662,c_80]) ).
cnf(c_33727,plain,
( ~ aElementOf0(sK5(sdtpldt0(X0,X1),X2),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27381,c_27179]) ).
cnf(c_33742,plain,
( ~ aElementOf0(sK5(sP1_iProver_def,X0),sP0_iProver_def)
| ~ aSet0(X0)
| ~ aElement0(xx)
| ~ aSet0(sP0_iProver_def)
| aSubsetOf0(X0,sdtpldt0(sP0_iProver_def,xx)) ),
inference(superposition,[status(thm)],[c_4650,c_33727]) ).
cnf(c_33755,plain,
( ~ aElementOf0(sK5(sP1_iProver_def,X0),sP0_iProver_def)
| ~ aSet0(X0)
| ~ aElement0(xx)
| ~ aSet0(sP0_iProver_def)
| aSubsetOf0(X0,sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_33742,c_4650]) ).
cnf(c_33756,plain,
( ~ aElementOf0(sK5(sP1_iProver_def,X0),sP0_iProver_def)
| ~ aSet0(X0)
| aSubsetOf0(X0,sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33755,c_9882,c_26948]) ).
cnf(c_33795,plain,
( ~ aElementOf0(sK5(sP1_iProver_def,xS),sP0_iProver_def)
| ~ aSet0(xS)
| aSubsetOf0(xS,sP1_iProver_def) ),
inference(instantiation,[status(thm)],[c_33756]) ).
cnf(c_39582,plain,
( ~ aSubsetOf0(xS,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aElementOf0(sK4(xS),X1) ),
inference(global_subsumption_just,[status(thm)],[c_21350,c_57,c_21350]) ).
cnf(c_39583,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(xS,X0)
| ~ aSet0(X1)
| aElementOf0(sK4(xS),X1) ),
inference(renaming,[status(thm)],[c_39582]) ).
cnf(c_39635,plain,
( ~ aSubsetOf0(xS,sP1_iProver_def)
| ~ aSet0(sP1_iProver_def)
| aElementOf0(sK4(xS),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_25263,c_39583]) ).
cnf(c_39638,plain,
( ~ aSubsetOf0(xS,sP1_iProver_def)
| aElementOf0(sK4(xS),sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39635,c_5584]) ).
cnf(c_41658,plain,
( sK5(xS,sP1_iProver_def) != xx
| X0 != xS
| ~ aElementOf0(xx,xS)
| aElementOf0(sK5(xS,sP1_iProver_def),X0) ),
inference(instantiation,[status(thm)],[c_5833]) ).
cnf(c_41659,plain,
( sK5(xS,sP1_iProver_def) != xx
| xS != xS
| ~ aElementOf0(xx,xS)
| aElementOf0(sK5(xS,sP1_iProver_def),xS) ),
inference(instantiation,[status(thm)],[c_41658]) ).
cnf(c_43625,plain,
( ~ aSet0(sP1_iProver_def)
| aElementOf0(sK7(X0,sP0_iProver_def,sP1_iProver_def),sP1_iProver_def)
| sP2(X0,sP0_iProver_def,sP1_iProver_def) ),
inference(equality_factoring,[status(thm)],[c_6160]) ).
cnf(c_43627,plain,
( aElementOf0(sK7(X0,sP0_iProver_def,sP1_iProver_def),sP1_iProver_def)
| sP2(X0,sP0_iProver_def,sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43625,c_5584]) ).
cnf(c_44300,plain,
( ~ aSet0(sP1_iProver_def)
| sdtmndt0(slcrc0,sK7(sK7(X0,sP0_iProver_def,sP1_iProver_def),X1,sP1_iProver_def)) = slcrc0
| sP2(X0,sP0_iProver_def,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_43627,c_11778]) ).
cnf(c_44331,plain,
( sdtmndt0(slcrc0,sK7(sK7(X0,sP0_iProver_def,sP1_iProver_def),X1,sP1_iProver_def)) = slcrc0
| sP2(X0,sP0_iProver_def,sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44300,c_5584]) ).
cnf(c_45252,plain,
( ~ aElementOf0(X0,sP1_iProver_def)
| sdtmndt0(slcrc0,sK7(sK7(X0,sP0_iProver_def,sP1_iProver_def),X1,sP1_iProver_def)) = slcrc0 ),
inference(superposition,[status(thm)],[c_44331,c_81]) ).
cnf(c_46343,plain,
( ~ aSubsetOf0(xS,sP1_iProver_def)
| sdtmndt0(slcrc0,sK7(sK7(sK4(xS),sP0_iProver_def,sP1_iProver_def),X0,sP1_iProver_def)) = slcrc0 ),
inference(superposition,[status(thm)],[c_39638,c_45252]) ).
cnf(c_47805,plain,
~ aSubsetOf0(xS,sP1_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_46343,c_86,c_87,c_90,c_105,c_4651,c_5584,c_5836,c_26622,c_41659]) ).
cnf(c_64531,plain,
( ~ aElementOf0(X0,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| X0 = X2
| aElementOf0(X0,sdtmndt0(X1,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_27930,c_49,c_5724]) ).
cnf(c_64543,plain,
( ~ aElementOf0(X0,xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| X0 = xx
| aElementOf0(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_4649,c_64531]) ).
cnf(c_64563,plain,
( ~ aElementOf0(X0,xS)
| X0 = xx
| aElementOf0(X0,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64543,c_86,c_26948]) ).
cnf(c_75830,plain,
( sK5(sP1_iProver_def,xS) != X0
| sP1_iProver_def != X1
| ~ aElementOf0(X0,X1)
| aElementOf0(sK5(sP1_iProver_def,xS),sP1_iProver_def) ),
inference(instantiation,[status(thm)],[c_4656]) ).
cnf(c_92786,plain,
( sK5(sP1_iProver_def,xS) != X0
| sP1_iProver_def != sP1_iProver_def
| ~ aElementOf0(X0,sP1_iProver_def)
| aElementOf0(sK5(sP1_iProver_def,xS),sP1_iProver_def) ),
inference(instantiation,[status(thm)],[c_75830]) ).
cnf(c_112535,plain,
( ~ aSet0(X0)
| sK7(X1,X0,X0) = X1
| sP2(X1,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6860,c_5663]) ).
cnf(c_112543,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| sK7(X0,X1,X1) = X0 ),
inference(superposition,[status(thm)],[c_112535,c_81]) ).
cnf(c_112959,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| sK7(sK5(X1,X0),X0,X0) = sK5(X1,X0)
| aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_112543]) ).
cnf(c_116676,plain,
( ~ aSet0(xS)
| ~ aSet0(sP1_iProver_def)
| sK7(sK5(sP1_iProver_def,xS),xS,xS) = sK5(sP1_iProver_def,xS) ),
inference(superposition,[status(thm)],[c_112959,c_47805]) ).
cnf(c_116731,plain,
( ~ aSet0(xS)
| ~ aSet0(sP0_iProver_def)
| sK7(sK5(sP0_iProver_def,xS),xS,xS) = sK5(sP0_iProver_def,xS) ),
inference(superposition,[status(thm)],[c_112959,c_21533]) ).
cnf(c_116779,plain,
sK7(sK5(sP0_iProver_def,xS),xS,xS) = sK5(sP0_iProver_def,xS),
inference(forward_subsumption_resolution,[status(thm)],[c_116731,c_5578,c_86]) ).
cnf(c_116781,plain,
sK7(sK5(sP1_iProver_def,xS),xS,xS) = sK5(sP1_iProver_def,xS),
inference(forward_subsumption_resolution,[status(thm)],[c_116676,c_5584,c_86]) ).
cnf(c_117290,plain,
( sK5(sP1_iProver_def,xS) != xx
| sP1_iProver_def != sP1_iProver_def
| ~ aElementOf0(xx,sP1_iProver_def)
| aElementOf0(sK5(sP1_iProver_def,xS),sP1_iProver_def) ),
inference(instantiation,[status(thm)],[c_92786]) ).
cnf(c_118064,plain,
( ~ aSet0(xS)
| sP2(sK5(sP0_iProver_def,xS),xS,xS)
| aElement0(sK5(sP0_iProver_def,xS)) ),
inference(superposition,[status(thm)],[c_116779,c_156]) ).
cnf(c_118074,plain,
( sP2(sK5(sP0_iProver_def,xS),xS,xS)
| aElement0(sK5(sP0_iProver_def,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118064,c_86]) ).
cnf(c_118097,plain,
( ~ aElementOf0(X0,xS)
| aElement0(sK5(sP0_iProver_def,xS))
| aElement0(X0) ),
inference(superposition,[status(thm)],[c_118074,c_83]) ).
cnf(c_118106,plain,
( ~ aElementOf0(X0,xS)
| aElement0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_118097,c_5270,c_5576,c_5896,c_64563]) ).
cnf(c_118113,plain,
( ~ aElementOf0(X0,xS)
| X0 = xx
| aElementOf0(X0,sP0_iProver_def) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5725,c_118106]) ).
cnf(c_120556,plain,
( ~ aSet0(xS)
| sP2(sK5(sP1_iProver_def,xS),xS,xS)
| aElementOf0(sK5(sP1_iProver_def,xS),xS) ),
inference(superposition,[status(thm)],[c_116781,c_5663]) ).
cnf(c_120565,plain,
( sP2(sK5(sP1_iProver_def,xS),xS,xS)
| aElementOf0(sK5(sP1_iProver_def,xS),xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120556,c_86]) ).
cnf(c_122326,plain,
aElementOf0(sK5(sP1_iProver_def,xS),xS),
inference(global_subsumption_just,[status(thm)],[c_120565,c_86,c_5584,c_5713,c_47805]) ).
cnf(c_122343,plain,
( sK5(sP1_iProver_def,xS) = xx
| aElementOf0(sK5(sP1_iProver_def,xS),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_122326,c_118113]) ).
cnf(c_122355,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_122343,c_117290,c_47805,c_33795,c_6748,c_5712,c_5578,c_5584,c_5376,c_86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM535+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 19:36:18 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 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
% 24.45/4.20 % SZS status Started for theBenchmark.p
% 24.45/4.20 % SZS status Theorem for theBenchmark.p
% 24.45/4.20
% 24.45/4.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 24.45/4.20
% 24.45/4.20 ------ iProver source info
% 24.45/4.20
% 24.45/4.20 git: date: 2024-05-02 19:28:25 +0000
% 24.45/4.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 24.45/4.20 git: non_committed_changes: false
% 24.45/4.20
% 24.45/4.20 ------ Parsing...
% 24.45/4.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 24.45/4.20
% 24.45/4.20 ------ 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
% 24.45/4.20
% 24.45/4.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 24.45/4.20
% 24.45/4.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.45/4.20 ------ Proving...
% 24.45/4.20 ------ Problem Properties
% 24.45/4.20
% 24.45/4.20
% 24.45/4.20 clauses 38
% 24.45/4.20 conjectures 1
% 24.45/4.20 EPR 21
% 24.45/4.20 Horn 28
% 24.45/4.20 unary 6
% 24.45/4.20 binary 5
% 24.45/4.20 lits 117
% 24.45/4.20 lits eq 12
% 24.45/4.20 fd_pure 0
% 24.45/4.20 fd_pseudo 0
% 24.45/4.20 fd_cond 1
% 24.45/4.20 fd_pseudo_cond 5
% 24.45/4.20 AC symbols 0
% 24.45/4.20
% 24.45/4.20 ------ Schedule dynamic 5 is on
% 24.45/4.20
% 24.45/4.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 24.45/4.20
% 24.45/4.20
% 24.45/4.20 ------
% 24.45/4.20 Current options:
% 24.45/4.20 ------
% 24.45/4.20
% 24.45/4.20
% 24.45/4.20
% 24.45/4.20
% 24.45/4.20 ------ Proving...
% 24.45/4.20
% 24.45/4.20
% 24.45/4.20 % SZS status Theorem for theBenchmark.p
% 24.45/4.20
% 24.45/4.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.45/4.20
% 24.45/4.21
%------------------------------------------------------------------------------