TSTP Solution File: NUM542+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM542+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 02:49:50 EDT 2024
% Result : Theorem 65.26s 9.71s
% Output : CNFRefutation 65.26s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f301)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
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/sandbox/benchmark/theBenchmark.p',mDefCons) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szszuzczcdt0(X0) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccLess) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(f53,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegSucc) ).
fof(f54,axiom,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1964) ).
fof(f55,conjecture,
( sdtlseqdt0(xm,xn)
<=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f56,negated_conjecture,
~ ( sdtlseqdt0(xm,xn)
<=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(negated_conjecture,[],[f55]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f78,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(f79,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,[],[f78]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f93,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f94,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f95,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f97,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f101,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f102,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f105,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f106,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f108,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f110,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f109]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f130,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f131,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
( sdtlseqdt0(xm,xn)
<~> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f133,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(f134,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> sP0(X1,X0,X2) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f135,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f79,f134,f133]) ).
fof(f144,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,[],[f70]) ).
fof(f145,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,[],[f144]) ).
fof(f146,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,[],[f145]) ).
fof(f147,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f148,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])],[f146,f147]) ).
fof(f149,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,[],[f134]) ).
fof(f150,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,[],[f133]) ).
fof(f151,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,[],[f150]) ).
fof(f152,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,[],[f151]) ).
fof(f153,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(f154,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])],[f152,f153]) ).
fof(f161,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK8(X0)) = X0
& aElementOf0(sK8(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
! [X0] :
( ( szszuzczcdt0(sK8(X0)) = X0
& aElementOf0(sK8(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f97,f161]) ).
fof(f163,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f128]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f179]) ).
fof(f181,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
=> ( ( ~ sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
| ~ aElementOf0(sK12(X0,X1),szNzAzT0)
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
& aElementOf0(sK12(X0,X1),szNzAzT0) )
| aElementOf0(sK12(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
| ~ aElementOf0(sK12(X0,X1),szNzAzT0)
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
& aElementOf0(sK12(X0,X1),szNzAzT0) )
| aElementOf0(sK12(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f180,f181]) ).
fof(f183,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f131]) ).
fof(f184,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f183]) ).
fof(f185,plain,
( ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f186,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f194,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f195,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f196,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f201,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f149]) ).
fof(f207,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f212,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f225,plain,
! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f231,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f234,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f235,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f236,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f237,plain,
! [X0] :
( aElementOf0(sK8(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f238,plain,
! [X0] :
( szszuzczcdt0(sK8(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f239,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f243,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f244,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f246,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f247,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f248,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f268,plain,
! [X0,X1] :
( aSet0(X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f269,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f270,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f271,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f277,plain,
! [X0,X1] :
( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f278,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f280,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f54]) ).
fof(f281,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f54]) ).
fof(f282,plain,
( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f185]) ).
fof(f283,plain,
( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f185]) ).
fof(f287,plain,
! [X0,X1] :
( sP0(X1,X0,sdtpldt0(X0,X1))
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f201]) ).
fof(f288,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP0(X4,X1,X2) ),
inference(equality_resolution,[],[f207]) ).
fof(f296,plain,
! [X3,X0] :
( aElementOf0(X3,slbdtrb0(X0))
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f271]) ).
fof(f297,plain,
! [X3,X0] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f270]) ).
fof(f298,plain,
! [X3,X0] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f269]) ).
fof(f299,plain,
! [X0] :
( aSet0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f268]) ).
cnf(c_49,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f186]) ).
cnf(c_56,plain,
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f196]) ).
cnf(c_57,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK5(X1,X0),X0)
| aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f195]) ).
cnf(c_58,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_65,plain,
( ~ sP1(X0,X1)
| sP0(X1,X0,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f287]) ).
cnf(c_70,plain,
( ~ sP0(X0,X1,X2)
| ~ aElement0(X0)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f288]) ).
cnf(c_75,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_88,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,X0),X0) = X1 ),
inference(cnf_transformation,[],[f225]) ).
cnf(c_95,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f231]) ).
cnf(c_97,plain,
( szszuzczcdt0(X0) != sz00
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f235]) ).
cnf(c_98,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f234]) ).
cnf(c_99,plain,
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(cnf_transformation,[],[f236]) ).
cnf(c_100,plain,
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK8(X0)) = X0
| X0 = sz00 ),
inference(cnf_transformation,[],[f238]) ).
cnf(c_101,plain,
( ~ aElementOf0(X0,szNzAzT0)
| X0 = sz00
| aElementOf0(sK8(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f237]) ).
cnf(c_102,plain,
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f239]) ).
cnf(c_105,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_107,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_109,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_110,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X2,X1) ),
inference(cnf_transformation,[],[f247]) ).
cnf(c_111,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f248]) ).
cnf(c_134,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f296]) ).
cnf(c_135,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),X1) ),
inference(cnf_transformation,[],[f297]) ).
cnf(c_136,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f298]) ).
cnf(c_137,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(cnf_transformation,[],[f299]) ).
cnf(c_140,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0))) ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_141,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ),
inference(cnf_transformation,[],[f278]) ).
cnf(c_142,plain,
( ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f277]) ).
cnf(c_143,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f281]) ).
cnf(c_144,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f280]) ).
cnf(c_145,negated_conjecture,
( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f283]) ).
cnf(c_146,negated_conjecture,
( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f282]) ).
cnf(c_216,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ),
inference(global_subsumption_just,[status(thm)],[c_141,c_136,c_141]) ).
cnf(c_238,plain,
( ~ sP1(X0,X1)
| sP0(X1,X0,sdtpldt0(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_65]) ).
cnf(c_1759,plain,
( X0 != X1
| X2 != X3
| ~ aElement0(X0)
| ~ aSet0(X2)
| sP0(X1,X3,sdtpldt0(X3,X1)) ),
inference(resolution_lifted,[status(thm)],[c_75,c_238]) ).
cnf(c_1760,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP0(X0,X1,sdtpldt0(X1,X0)) ),
inference(unflattening,[status(thm)],[c_1759]) ).
cnf(c_10652,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aSet0(slbdtrb0(xn)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_10653,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aSet0(slbdtrb0(xm)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_10656,plain,
( ~ aElementOf0(xn,szNzAzT0)
| sdtlseqdt0(xn,szszuzczcdt0(xn)) ),
inference(instantiation,[status(thm)],[c_107]) ).
cnf(c_10664,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),xm)
| sdtlseqdt0(xm,X0) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_10690,plain,
( szszuzczcdt0(xn) != sz00
| ~ aElementOf0(xn,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_10691,plain,
( szszuzczcdt0(xm) != sz00
| ~ aElementOf0(xm,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_10693,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_10694,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_10700,plain,
( szszuzczcdt0(xn) != xn
| ~ aElementOf0(xn,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_11341,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| szszuzczcdt0(sK8(szszuzczcdt0(xn))) = szszuzczcdt0(xn)
| szszuzczcdt0(xn) = sz00 ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_11343,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| szszuzczcdt0(xn) = sz00
| aElementOf0(sK8(szszuzczcdt0(xn)),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_11758,plain,
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK8(szszuzczcdt0(X0))) = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = sz00 ),
inference(superposition,[status(thm)],[c_98,c_100]) ).
cnf(c_11778,plain,
( ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| szszuzczcdt0(sK8(szszuzczcdt0(xm))) = szszuzczcdt0(xm)
| szszuzczcdt0(xm) = sz00 ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_11780,plain,
( ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| szszuzczcdt0(xm) = sz00
| aElementOf0(sK8(szszuzczcdt0(xm)),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_12121,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),xn)
| ~ sdtlseqdt0(xn,szszuzczcdt0(xn))
| ~ aElementOf0(xn,szNzAzT0)
| szszuzczcdt0(xn) = xn ),
inference(instantiation,[status(thm)],[c_109]) ).
cnf(c_12571,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| sdtlseqdt0(xm,xn) ),
inference(instantiation,[status(thm)],[c_10664]) ).
cnf(c_12642,plain,
( ~ aElementOf0(xn,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(xn),X0) ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_13078,plain,
( szszuzczcdt0(X0) != szszuzczcdt0(xn)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| X0 = xn ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_13158,plain,
( szszuzczcdt0(X0) != szszuzczcdt0(xm)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| X0 = xm ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_17454,plain,
( ~ aSet0(slbdtrb0(xn))
| ~ aSet0(slbdtrb0(xm))
| aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xm))
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_17455,plain,
( ~ aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xn))
| ~ aSet0(slbdtrb0(xn))
| ~ aSet0(slbdtrb0(xm))
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_18076,plain,
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK8(szszuzczcdt0(X0))) = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = sz00 ),
inference(superposition,[status(thm)],[c_98,c_100]) ).
cnf(c_21154,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),xm) ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_21155,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(X0,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_21555,plain,
( ~ aElementOf0(xn,slbdtrb0(xn))
| ~ aElementOf0(xn,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(xn),xn) ),
inference(instantiation,[status(thm)],[c_12642]) ).
cnf(c_21737,plain,
( szszuzczcdt0(sK8(szszuzczcdt0(xn))) != szszuzczcdt0(xn)
| ~ aElementOf0(sK8(szszuzczcdt0(xn)),szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| sK8(szszuzczcdt0(xn)) = xn ),
inference(instantiation,[status(thm)],[c_13078]) ).
cnf(c_21757,plain,
( szszuzczcdt0(sK8(szszuzczcdt0(xm))) != szszuzczcdt0(xm)
| ~ aElementOf0(sK8(szszuzczcdt0(xm)),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| sK8(szszuzczcdt0(xm)) = xm ),
inference(instantiation,[status(thm)],[c_13158]) ).
cnf(c_22067,plain,
( szszuzczcdt0(sK8(szszuzczcdt0(X0))) = szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_18076,c_97,c_11758]) ).
cnf(c_22068,plain,
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK8(szszuzczcdt0(X0))) = szszuzczcdt0(X0) ),
inference(renaming,[status(thm)],[c_22067]) ).
cnf(c_22091,plain,
szszuzczcdt0(sK8(szszuzczcdt0(xn))) = szszuzczcdt0(xn),
inference(superposition,[status(thm)],[c_143,c_22068]) ).
cnf(c_22092,plain,
szszuzczcdt0(sK8(szszuzczcdt0(xm))) = szszuzczcdt0(xm),
inference(superposition,[status(thm)],[c_144,c_22068]) ).
cnf(c_22501,plain,
( ~ aElementOf0(sK8(szszuzczcdt0(xn)),szNzAzT0)
| aElementOf0(sK8(szszuzczcdt0(xn)),slbdtrb0(szszuzczcdt0(xn))) ),
inference(superposition,[status(thm)],[c_22091,c_140]) ).
cnf(c_22806,plain,
( ~ aElementOf0(sK8(szszuzczcdt0(xm)),szNzAzT0)
| aElementOf0(sK8(szszuzczcdt0(xm)),slbdtrb0(szszuzczcdt0(xm))) ),
inference(superposition,[status(thm)],[c_22092,c_140]) ).
cnf(c_27038,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ),
inference(superposition,[status(thm)],[c_98,c_49]) ).
cnf(c_27043,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27038,c_95]) ).
cnf(c_27065,plain,
aElement0(szszuzczcdt0(xm)),
inference(superposition,[status(thm)],[c_144,c_27043]) ).
cnf(c_27263,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) ),
inference(superposition,[status(thm)],[c_1760,c_70]) ).
cnf(c_27502,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0)) = szNzAzT0 ),
inference(superposition,[status(thm)],[c_98,c_88]) ).
cnf(c_27514,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0)) = szNzAzT0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_27502,c_95]) ).
cnf(c_27678,plain,
sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(xm)),szszuzczcdt0(xm)) = szNzAzT0,
inference(superposition,[status(thm)],[c_144,c_27514]) ).
cnf(c_27968,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,szszuzczcdt0(xm)))
| ~ aElement0(szszuzczcdt0(xm))
| aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(superposition,[status(thm)],[c_27678,c_27263]) ).
cnf(c_27972,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,szszuzczcdt0(xm)))
| aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27968,c_27065]) ).
cnf(c_28713,plain,
aElementOf0(szszuzczcdt0(xm),szNzAzT0),
inference(global_subsumption_just,[status(thm)],[c_27972,c_144,c_10694]) ).
cnf(c_28721,plain,
( szszuzczcdt0(sK8(szszuzczcdt0(xm))) = szszuzczcdt0(xm)
| szszuzczcdt0(xm) = sz00 ),
inference(superposition,[status(thm)],[c_28713,c_100]) ).
cnf(c_30247,plain,
szszuzczcdt0(sK8(szszuzczcdt0(xm))) = szszuzczcdt0(xm),
inference(global_subsumption_just,[status(thm)],[c_28721,c_144,c_10691,c_10694,c_11778]) ).
cnf(c_30253,plain,
( ~ aElementOf0(X0,slbdtrb0(sK8(szszuzczcdt0(xm))))
| ~ aElementOf0(sK8(szszuzczcdt0(xm)),szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(xm))) ),
inference(superposition,[status(thm)],[c_30247,c_216]) ).
cnf(c_30265,plain,
( ~ aElementOf0(sK8(szszuzczcdt0(xm)),szNzAzT0)
| aElementOf0(sK8(szszuzczcdt0(xm)),slbdtrb0(szszuzczcdt0(xm))) ),
inference(superposition,[status(thm)],[c_30247,c_140]) ).
cnf(c_30354,plain,
aElementOf0(sK8(szszuzczcdt0(xm)),slbdtrb0(szszuzczcdt0(xm))),
inference(global_subsumption_just,[status(thm)],[c_30265,c_144,c_10691,c_10694,c_11780,c_22806]) ).
cnf(c_30361,plain,
( ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| aElementOf0(sK8(szszuzczcdt0(xm)),szNzAzT0) ),
inference(superposition,[status(thm)],[c_30354,c_136]) ).
cnf(c_30362,plain,
( ~ aElementOf0(sK8(szszuzczcdt0(xm)),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| sK8(szszuzczcdt0(xm)) = xm
| aElementOf0(sK8(szszuzczcdt0(xm)),slbdtrb0(xm)) ),
inference(superposition,[status(thm)],[c_30354,c_142]) ).
cnf(c_30363,plain,
aElementOf0(sK8(szszuzczcdt0(xm)),szNzAzT0),
inference(forward_subsumption_resolution,[status(thm)],[c_30361,c_28713]) ).
cnf(c_30366,plain,
( ~ aElementOf0(xm,szNzAzT0)
| sK8(szszuzczcdt0(xm)) = xm
| aElementOf0(sK8(szszuzczcdt0(xm)),slbdtrb0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30362,c_30363]) ).
cnf(c_30367,plain,
( sK8(szszuzczcdt0(xm)) = xm
| aElementOf0(sK8(szszuzczcdt0(xm)),slbdtrb0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30366,c_144]) ).
cnf(c_30375,plain,
( ~ aElementOf0(X0,slbdtrb0(sK8(szszuzczcdt0(xm))))
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(xm))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_30253,c_30363]) ).
cnf(c_32493,plain,
sK8(szszuzczcdt0(xm)) = xm,
inference(global_subsumption_just,[status(thm)],[c_30367,c_144,c_10691,c_10694,c_11780,c_11778,c_21757]) ).
cnf(c_33915,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(xm))) ),
inference(light_normalisation,[status(thm)],[c_30375,c_32493]) ).
cnf(c_33926,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(xm)) ),
inference(superposition,[status(thm)],[c_33915,c_135]) ).
cnf(c_33927,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| aElementOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_33915,c_136]) ).
cnf(c_33930,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33927,c_28713]) ).
cnf(c_33931,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33926,c_28713]) ).
cnf(c_34619,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_33931,c_105]) ).
cnf(c_34622,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34619,c_144]) ).
cnf(c_34831,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| sdtlseqdt0(X0,xm) ),
inference(global_subsumption_just,[status(thm)],[c_34622,c_33930,c_34622]) ).
cnf(c_40071,plain,
( ~ aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xm))
| ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_21155]) ).
cnf(c_40072,plain,
( ~ aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xm))
| ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),xm) ),
inference(instantiation,[status(thm)],[c_21154]) ).
cnf(c_40127,plain,
( ~ aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),szNzAzT0)
| aElementOf0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_40340,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,xn)
| ~ aElementOf0(xn,szNzAzT0)
| sdtlseqdt0(X0,xn) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_44704,plain,
aSet0(slbdtrb0(xn)),
inference(superposition,[status(thm)],[c_143,c_137]) ).
cnf(c_44727,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ),
inference(superposition,[status(thm)],[c_98,c_49]) ).
cnf(c_44732,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44727,c_95]) ).
cnf(c_44753,plain,
aElement0(szszuzczcdt0(xn)),
inference(superposition,[status(thm)],[c_143,c_44732]) ).
cnf(c_44754,plain,
aElement0(szszuzczcdt0(xm)),
inference(superposition,[status(thm)],[c_144,c_44732]) ).
cnf(c_44946,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) ),
inference(superposition,[status(thm)],[c_1760,c_70]) ).
cnf(c_45176,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0)) = szNzAzT0 ),
inference(superposition,[status(thm)],[c_98,c_88]) ).
cnf(c_45188,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(X0)),szszuzczcdt0(X0)) = szNzAzT0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_45176,c_95]) ).
cnf(c_45469,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,slbdtrb0(X1))
| sdtlseqdt0(X1,X0) ),
inference(superposition,[status(thm)],[c_111,c_134]) ).
cnf(c_47002,plain,
sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(xn)),szszuzczcdt0(xn)) = szNzAzT0,
inference(superposition,[status(thm)],[c_143,c_45188]) ).
cnf(c_47003,plain,
sdtpldt0(sdtmndt0(szNzAzT0,szszuzczcdt0(xm)),szszuzczcdt0(xm)) = szNzAzT0,
inference(superposition,[status(thm)],[c_144,c_45188]) ).
cnf(c_47032,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,szszuzczcdt0(xn)))
| ~ aElement0(szszuzczcdt0(xn))
| aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(superposition,[status(thm)],[c_47002,c_44946]) ).
cnf(c_47039,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,szszuzczcdt0(xn)))
| aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47032,c_44753]) ).
cnf(c_47143,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,szszuzczcdt0(xm)))
| ~ aElement0(szszuzczcdt0(xm))
| aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(superposition,[status(thm)],[c_47003,c_44946]) ).
cnf(c_47150,plain,
( ~ aSet0(sdtmndt0(szNzAzT0,szszuzczcdt0(xm)))
| aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47143,c_44754]) ).
cnf(c_47221,plain,
aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(global_subsumption_just,[status(thm)],[c_47039,c_143,c_10693]) ).
cnf(c_47229,plain,
( szszuzczcdt0(sK8(szszuzczcdt0(xn))) = szszuzczcdt0(xn)
| szszuzczcdt0(xn) = sz00 ),
inference(superposition,[status(thm)],[c_47221,c_100]) ).
cnf(c_47316,plain,
szszuzczcdt0(sK8(szszuzczcdt0(xn))) = szszuzczcdt0(xn),
inference(global_subsumption_just,[status(thm)],[c_47229,c_143,c_10690,c_10693,c_11341]) ).
cnf(c_47327,plain,
( ~ aElementOf0(sK8(szszuzczcdt0(xn)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK8(szszuzczcdt0(xn)))
| sdtlseqdt0(szszuzczcdt0(xn),X0) ),
inference(superposition,[status(thm)],[c_47316,c_111]) ).
cnf(c_47333,plain,
( ~ aElementOf0(sK8(szszuzczcdt0(xn)),szNzAzT0)
| aElementOf0(sK8(szszuzczcdt0(xn)),slbdtrb0(szszuzczcdt0(xn))) ),
inference(superposition,[status(thm)],[c_47316,c_140]) ).
cnf(c_47346,plain,
aElementOf0(szszuzczcdt0(xm),szNzAzT0),
inference(global_subsumption_just,[status(thm)],[c_47150,c_144,c_10694]) ).
cnf(c_47354,plain,
( szszuzczcdt0(sK8(szszuzczcdt0(xm))) = szszuzczcdt0(xm)
| szszuzczcdt0(xm) = sz00 ),
inference(superposition,[status(thm)],[c_47346,c_100]) ).
cnf(c_47445,plain,
szszuzczcdt0(sK8(szszuzczcdt0(xm))) = szszuzczcdt0(xm),
inference(global_subsumption_just,[status(thm)],[c_47354,c_144,c_10691,c_10694,c_11778]) ).
cnf(c_47451,plain,
( ~ aElementOf0(X0,slbdtrb0(sK8(szszuzczcdt0(xm))))
| ~ aElementOf0(sK8(szszuzczcdt0(xm)),szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(xm))) ),
inference(superposition,[status(thm)],[c_47445,c_216]) ).
cnf(c_47462,plain,
( ~ aElementOf0(sK8(szszuzczcdt0(xm)),szNzAzT0)
| aElementOf0(sK8(szszuzczcdt0(xm)),slbdtrb0(szszuzczcdt0(xm))) ),
inference(superposition,[status(thm)],[c_47445,c_140]) ).
cnf(c_47974,plain,
aElementOf0(sK8(szszuzczcdt0(xn)),slbdtrb0(szszuzczcdt0(xn))),
inference(global_subsumption_just,[status(thm)],[c_47333,c_143,c_10690,c_10693,c_11343,c_22501]) ).
cnf(c_47981,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| aElementOf0(sK8(szszuzczcdt0(xn)),szNzAzT0) ),
inference(superposition,[status(thm)],[c_47974,c_136]) ).
cnf(c_47982,plain,
( ~ aElementOf0(sK8(szszuzczcdt0(xn)),szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| sK8(szszuzczcdt0(xn)) = xn
| aElementOf0(sK8(szszuzczcdt0(xn)),slbdtrb0(xn)) ),
inference(superposition,[status(thm)],[c_47974,c_142]) ).
cnf(c_47983,plain,
aElementOf0(sK8(szszuzczcdt0(xn)),szNzAzT0),
inference(forward_subsumption_resolution,[status(thm)],[c_47981,c_47221]) ).
cnf(c_47986,plain,
( ~ aElementOf0(xn,szNzAzT0)
| sK8(szszuzczcdt0(xn)) = xn
| aElementOf0(sK8(szszuzczcdt0(xn)),slbdtrb0(xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47982,c_47983]) ).
cnf(c_47987,plain,
( sK8(szszuzczcdt0(xn)) = xn
| aElementOf0(sK8(szszuzczcdt0(xn)),slbdtrb0(xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47986,c_143]) ).
cnf(c_47991,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,sK8(szszuzczcdt0(xn)))
| sdtlseqdt0(szszuzczcdt0(xn),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_47327,c_47983]) ).
cnf(c_48132,plain,
aElementOf0(sK8(szszuzczcdt0(xm)),slbdtrb0(szszuzczcdt0(xm))),
inference(global_subsumption_just,[status(thm)],[c_47462,c_144,c_10691,c_10694,c_11780,c_22806]) ).
cnf(c_48139,plain,
( ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| aElementOf0(sK8(szszuzczcdt0(xm)),szNzAzT0) ),
inference(superposition,[status(thm)],[c_48132,c_136]) ).
cnf(c_48140,plain,
( ~ aElementOf0(sK8(szszuzczcdt0(xm)),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| sK8(szszuzczcdt0(xm)) = xm
| aElementOf0(sK8(szszuzczcdt0(xm)),slbdtrb0(xm)) ),
inference(superposition,[status(thm)],[c_48132,c_142]) ).
cnf(c_48141,plain,
aElementOf0(sK8(szszuzczcdt0(xm)),szNzAzT0),
inference(forward_subsumption_resolution,[status(thm)],[c_48139,c_47346]) ).
cnf(c_48144,plain,
( ~ aElementOf0(xm,szNzAzT0)
| sK8(szszuzczcdt0(xm)) = xm
| aElementOf0(sK8(szszuzczcdt0(xm)),slbdtrb0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48140,c_48141]) ).
cnf(c_48145,plain,
( sK8(szszuzczcdt0(xm)) = xm
| aElementOf0(sK8(szszuzczcdt0(xm)),slbdtrb0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48144,c_144]) ).
cnf(c_48153,plain,
( ~ aElementOf0(X0,slbdtrb0(sK8(szszuzczcdt0(xm))))
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(xm))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_47451,c_48141]) ).
cnf(c_48661,plain,
sK8(szszuzczcdt0(xn)) = xn,
inference(global_subsumption_just,[status(thm)],[c_47987,c_143,c_10690,c_10693,c_11343,c_11341,c_21737]) ).
cnf(c_48996,plain,
sK8(szszuzczcdt0(xm)) = xm,
inference(global_subsumption_just,[status(thm)],[c_48145,c_144,c_10691,c_10694,c_11780,c_11778,c_21757]) ).
cnf(c_49036,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(xm))) ),
inference(light_normalisation,[status(thm)],[c_48153,c_48996]) ).
cnf(c_49047,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(xm)) ),
inference(superposition,[status(thm)],[c_49036,c_135]) ).
cnf(c_49052,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49047,c_47346]) ).
cnf(c_49201,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_49052,c_105]) ).
cnf(c_49204,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49201,c_144]) ).
cnf(c_49381,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| sdtlseqdt0(X0,xm) ),
inference(global_subsumption_just,[status(thm)],[c_49204,c_34831]) ).
cnf(c_49582,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(xn),X0)
| sdtlseqdt0(X0,xn) ),
inference(light_normalisation,[status(thm)],[c_47991,c_48661]) ).
cnf(c_51900,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_45469,c_49381]) ).
cnf(c_51913,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51900,c_144]) ).
cnf(c_51959,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| sdtlseqdt0(xm,szszuzczcdt0(xn)) ),
inference(superposition,[status(thm)],[c_47221,c_51913]) ).
cnf(c_52024,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(xn,slbdtrb0(xm))
| sdtlseqdt0(xm,szszuzczcdt0(xn)) ),
inference(superposition,[status(thm)],[c_51959,c_134]) ).
cnf(c_52025,plain,
( aElementOf0(xn,slbdtrb0(xm))
| sdtlseqdt0(xm,szszuzczcdt0(xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52024,c_144,c_143]) ).
cnf(c_52032,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,szNzAzT0)
| szszuzczcdt0(xn) = xm
| aElementOf0(xn,slbdtrb0(xm)) ),
inference(superposition,[status(thm)],[c_52025,c_109]) ).
cnf(c_52033,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| szszuzczcdt0(xn) = xm
| aElementOf0(xn,slbdtrb0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52032,c_144,c_47221]) ).
cnf(c_52281,plain,
( ~ aElementOf0(xm,szNzAzT0)
| szszuzczcdt0(xn) = xm
| aElementOf0(xn,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) ),
inference(superposition,[status(thm)],[c_49582,c_52033]) ).
cnf(c_52283,plain,
( szszuzczcdt0(xn) = xm
| aElementOf0(xn,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52281,c_144]) ).
cnf(c_52599,plain,
( ~ aElementOf0(xm,szNzAzT0)
| szszuzczcdt0(xn) = xm
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| sdtlseqdt0(xm,xn) ),
inference(superposition,[status(thm)],[c_52283,c_135]) ).
cnf(c_52604,plain,
( szszuzczcdt0(xn) = xm
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| sdtlseqdt0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52599,c_144]) ).
cnf(c_52629,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| sdtlseqdt0(xm,xn) ),
inference(global_subsumption_just,[status(thm)],[c_52604,c_144,c_143,c_12571]) ).
cnf(c_52634,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(xn,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) ),
inference(superposition,[status(thm)],[c_52629,c_134]) ).
cnf(c_52636,plain,
( aElementOf0(xn,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52634,c_144,c_143]) ).
cnf(c_52642,plain,
( ~ aSubsetOf0(slbdtrb0(xm),X0)
| ~ aSet0(X0)
| aElementOf0(xn,X0)
| sdtlseqdt0(xm,xn) ),
inference(superposition,[status(thm)],[c_52636,c_58]) ).
cnf(c_53043,plain,
( ~ aSet0(slbdtrb0(xn))
| aElementOf0(xn,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ),
inference(superposition,[status(thm)],[c_146,c_52642]) ).
cnf(c_53045,plain,
( aElementOf0(xn,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53043,c_44704]) ).
cnf(c_60504,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,xn)
| ~ aElementOf0(xn,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),xn) ),
inference(instantiation,[status(thm)],[c_40340]) ).
cnf(c_60505,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(X0,slbdtrb0(xn)) ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_64880,plain,
( ~ aElementOf0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),xm)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),xn) ),
inference(instantiation,[status(thm)],[c_60504]) ).
cnf(c_69482,plain,
( ~ sdtlseqdt0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),xn)
| ~ aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xn)) ),
inference(instantiation,[status(thm)],[c_60505]) ).
cnf(c_69483,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_69482,c_64880,c_53045,c_40127,c_40071,c_40072,c_21555,c_17455,c_17454,c_12121,c_10700,c_10693,c_10656,c_10653,c_10652,c_145,c_143,c_144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM542+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 20:09:33 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 65.26/9.71 % SZS status Started for theBenchmark.p
% 65.26/9.71 % SZS status Theorem for theBenchmark.p
% 65.26/9.71
% 65.26/9.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 65.26/9.71
% 65.26/9.71 ------ iProver source info
% 65.26/9.71
% 65.26/9.71 git: date: 2024-05-02 19:28:25 +0000
% 65.26/9.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 65.26/9.71 git: non_committed_changes: false
% 65.26/9.71
% 65.26/9.71 ------ Parsing...
% 65.26/9.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 65.26/9.71
% 65.26/9.71 ------ 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: 1 0s sf_e pe_s pe_e
% 65.26/9.71
% 65.26/9.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 65.26/9.71
% 65.26/9.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 65.26/9.71 ------ Proving...
% 65.26/9.71 ------ Problem Properties
% 65.26/9.71
% 65.26/9.71
% 65.26/9.71 clauses 96
% 65.26/9.71 conjectures 2
% 65.26/9.71 EPR 31
% 65.26/9.71 Horn 68
% 65.26/9.71 unary 11
% 65.26/9.71 binary 17
% 65.26/9.71 lits 320
% 65.26/9.71 lits eq 46
% 65.26/9.71 fd_pure 0
% 65.26/9.71 fd_pseudo 0
% 65.26/9.71 fd_cond 8
% 65.26/9.71 fd_pseudo_cond 15
% 65.26/9.71 AC symbols 0
% 65.26/9.71
% 65.26/9.71 ------ Input Options Time Limit: Unbounded
% 65.26/9.71
% 65.26/9.71
% 65.26/9.71 ------
% 65.26/9.71 Current options:
% 65.26/9.71 ------
% 65.26/9.71
% 65.26/9.71
% 65.26/9.71
% 65.26/9.71
% 65.26/9.71 ------ Proving...
% 65.26/9.71
% 65.26/9.71
% 65.26/9.71 % SZS status Theorem for theBenchmark.p
% 65.26/9.71
% 65.26/9.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 65.26/9.71
% 65.26/9.72
%------------------------------------------------------------------------------