TSTP Solution File: NUM588+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM588+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 11:31:40 EDT 2023
% Result : Theorem 113.51s 15.80s
% Output : CNFRefutation 113.51s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f518)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
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(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
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(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
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/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f54,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegLess) ).
fof(f56,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f88,conjecture,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
=> aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f89,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
=> aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) ) ),
inference(negated_conjecture,[],[f88]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f99,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f100,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f99]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f109,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f110,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f109]) ).
fof(f113,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(f114,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,[],[f113]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f130,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f129]) ).
fof(f137,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f146,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f156]) ).
fof(f162,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(f166,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f167,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f166]) ).
fof(f170,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f171,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f172,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f171]) ).
fof(f198,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f81]) ).
fof(f199,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f210,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f211,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f210]) ).
fof(f215,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(f216,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> sP2(X1,X0,X2) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f217,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f114,f216,f215]) ).
fof(f223,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,[],[f103]) ).
fof(f224,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,[],[f223]) ).
fof(f225,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,[],[f224]) ).
fof(f226,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f227,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])],[f225,f226]) ).
fof(f234,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,[],[f216]) ).
fof(f235,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,[],[f215]) ).
fof(f236,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,[],[f235]) ).
fof(f237,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,[],[f236]) ).
fof(f238,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(f239,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])],[f237,f238]) ).
fof(f240,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK8(X0)) = X0
& aElementOf0(sK8(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f241,plain,
! [X0] :
( ( szszuzczcdt0(sK8(X0)) = X0
& aElementOf0(sK8(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f130,f240]) ).
fof(f243,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f146]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f157]) ).
fof(f248,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f247]) ).
fof(f249,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f248]) ).
fof(f250,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK10(X0,X1))
& aElementOf0(sK10(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK10(X0,X1))
& aElementOf0(sK10(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f249,f250]) ).
fof(f257,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,[],[f162]) ).
fof(f258,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,[],[f257]) ).
fof(f259,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,[],[f258]) ).
fof(f260,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(f261,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])],[f259,f260]) ).
fof(f264,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
& ( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f167]) ).
fof(f267,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f172]) ).
fof(f268,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f267]) ).
fof(f269,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(rectify,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK14(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK14(X0,X1,X2),X0)
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK14(X0,X1,X2)) = X1
& aSubsetOf0(sK14(X0,X1,X2),X0) )
| aElementOf0(sK14(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f271,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ( ( sbrdtbr0(sK14(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK14(X0,X1,X2),X0)
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK14(X0,X1,X2)) = X1
& aSubsetOf0(sK14(X0,X1,X2),X0) )
| aElementOf0(sK14(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f269,f270]) ).
fof(f296,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aElementOf0(X0,szNzAzT0) )
=> ( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))),xk))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25)))) )
& aElementOf0(sK25,szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))),xk))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25)))) )
=> ( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))),xk))
& aElementOf0(X2,slbdtsldtrb0(sK26,xk))
& aSet0(X2) )
& isCountable0(sK26)
& aSubsetOf0(sK26,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25)))) ) ),
introduced(choice_axiom,[]) ).
fof(f298,plain,
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))),xk))
& aElementOf0(X2,slbdtsldtrb0(sK26,xk))
& aSet0(X2) )
=> ( ~ aElementOf0(sK27,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))),xk))
& aElementOf0(sK27,slbdtsldtrb0(sK26,xk))
& aSet0(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f299,plain,
( ~ aElementOf0(sK27,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))),xk))
& aElementOf0(sK27,slbdtsldtrb0(sK26,xk))
& aSet0(sK27)
& isCountable0(sK26)
& aSubsetOf0(sK26,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
& aElementOf0(sK25,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27])],[f211,f298,f297,f296]) ).
fof(f300,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f304,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f305,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f307,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f308,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f314,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f327,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f329,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
fof(f338,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f345,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f351,plain,
! [X0] :
( aElementOf0(sK8(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f352,plain,
! [X0] :
( szszuzczcdt0(sK8(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f359,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f365,plain,
! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f366,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f374,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f383,plain,
! [X0,X1] :
( aSet0(X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f384,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f386,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f395,plain,
! [X0,X1] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f399,plain,
! [X0] :
( sbrdtbr0(slbdtrb0(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f401,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f402,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f403,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f457,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f462,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f464,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f465,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f475,plain,
aElementOf0(sK25,szNzAzT0),
inference(cnf_transformation,[],[f299]) ).
fof(f476,plain,
aSubsetOf0(sK26,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25)))),
inference(cnf_transformation,[],[f299]) ).
fof(f478,plain,
aSet0(sK27),
inference(cnf_transformation,[],[f299]) ).
fof(f479,plain,
aElementOf0(sK27,slbdtsldtrb0(sK26,xk)),
inference(cnf_transformation,[],[f299]) ).
fof(f480,plain,
~ aElementOf0(sK27,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))),xk)),
inference(cnf_transformation,[],[f299]) ).
fof(f486,plain,
! [X0,X1] :
( sP2(X1,X0,sdtmndt0(X0,X1))
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f327]) ).
fof(f490,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f374]) ).
fof(f493,plain,
! [X3,X0] :
( aElementOf0(X3,slbdtrb0(X0))
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f386]) ).
fof(f495,plain,
! [X3,X0] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f384]) ).
fof(f496,plain,
! [X0] :
( aSet0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f383]) ).
fof(f498,plain,
! [X2,X0,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f403]) ).
fof(f499,plain,
! [X0,X4] :
( aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4)))
| ~ aSubsetOf0(X4,X0)
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f498]) ).
fof(f500,plain,
! [X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f402]) ).
fof(f501,plain,
! [X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f401]) ).
cnf(c_49,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_53,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f304]) ).
cnf(c_54,plain,
( ~ aSet0(X0)
| ~ isFinite0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f305]) ).
cnf(c_58,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f308]) ).
cnf(c_59,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f307]) ).
cnf(c_63,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(cnf_transformation,[],[f314]) ).
cnf(c_77,plain,
( ~ sP3(X0,X1)
| sP2(X1,X0,sdtmndt0(X0,X1)) ),
inference(cnf_transformation,[],[f486]) ).
cnf(c_86,plain,
( ~ sP2(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f329]) ).
cnf(c_87,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP3(X1,X0) ),
inference(cnf_transformation,[],[f338]) ).
cnf(c_95,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f345]) ).
cnf(c_100,plain,
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK8(X0)) = X0
| X0 = sz00 ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_101,plain,
( ~ aElementOf0(X0,szNzAzT0)
| X0 = sz00
| aElementOf0(sK8(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f351]) ).
cnf(c_108,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f359]) ).
cnf(c_114,plain,
( ~ aSet0(X0)
| ~ isFinite0(X0)
| aElementOf0(sbrdtbr0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_115,plain,
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0)
| isFinite0(X0) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_126,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| X0 = slcrc0
| aElementOf0(szmzizndt0(X0),X0) ),
inference(cnf_transformation,[],[f490]) ).
cnf(c_135,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f493]) ).
cnf(c_137,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f495]) ).
cnf(c_138,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(cnf_transformation,[],[f496]) ).
cnf(c_141,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0))) ),
inference(cnf_transformation,[],[f518]) ).
cnf(c_145,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f395]) ).
cnf(c_148,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_152,plain,
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0))) ),
inference(cnf_transformation,[],[f499]) ).
cnf(c_153,plain,
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| sbrdtbr0(X0) = X2 ),
inference(cnf_transformation,[],[f500]) ).
cnf(c_154,plain,
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f501]) ).
cnf(c_207,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f457]) ).
cnf(c_209,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f462]) ).
cnf(c_213,plain,
( ~ aElementOf0(X0,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f465]) ).
cnf(c_214,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(cnf_transformation,[],[f464]) ).
cnf(c_224,negated_conjecture,
~ aElementOf0(sK27,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))),xk)),
inference(cnf_transformation,[],[f480]) ).
cnf(c_225,negated_conjecture,
aElementOf0(sK27,slbdtsldtrb0(sK26,xk)),
inference(cnf_transformation,[],[f479]) ).
cnf(c_226,negated_conjecture,
aSet0(sK27),
inference(cnf_transformation,[],[f478]) ).
cnf(c_228,negated_conjecture,
aSubsetOf0(sK26,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25)))),
inference(cnf_transformation,[],[f476]) ).
cnf(c_229,negated_conjecture,
aElementOf0(sK25,szNzAzT0),
inference(cnf_transformation,[],[f475]) ).
cnf(c_380,plain,
( ~ sP3(X0,X1)
| sP2(X1,X0,sdtmndt0(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_77]) ).
cnf(c_472,plain,
( ~ aSubsetOf0(X2,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_59,c_63]) ).
cnf(c_473,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(renaming,[status(thm)],[c_472]) ).
cnf(c_477,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(global_subsumption_just,[status(thm)],[c_209,c_213,c_214,c_209]) ).
cnf(c_1798,plain,
( X0 != X1
| X2 != X3
| ~ aElement0(X0)
| ~ aSet0(X2)
| sP2(X1,X3,sdtmndt0(X3,X1)) ),
inference(resolution_lifted,[status(thm)],[c_87,c_380]) ).
cnf(c_1799,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP2(X0,X1,sdtmndt0(X1,X0)) ),
inference(unflattening,[status(thm)],[c_1798]) ).
cnf(c_6796,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(prop_impl_just,[status(thm)],[c_477]) ).
cnf(c_12750,plain,
( X0 != X1
| ~ isFinite0(X1)
| isFinite0(X0) ),
theory(equality) ).
cnf(c_15765,plain,
( ~ aElementOf0(xk,szNzAzT0)
| aSet0(slbdtrb0(xk)) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_15775,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,sK25)) ),
inference(instantiation,[status(thm)],[c_213]) ).
cnf(c_15779,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,sK25),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_214]) ).
cnf(c_16031,plain,
( X0 != slcrc0
| ~ isFinite0(slcrc0)
| isFinite0(X0) ),
inference(instantiation,[status(thm)],[c_12750]) ).
cnf(c_18612,plain,
( szszuzczcdt0(sK8(sK25)) = sK25
| sz00 = sK25 ),
inference(superposition,[status(thm)],[c_229,c_100]) ).
cnf(c_18675,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| sz00 = sK25
| aElementOf0(sK8(sK25),slbdtrb0(sK25)) ),
inference(superposition,[status(thm)],[c_18612,c_141]) ).
cnf(c_18689,plain,
( ~ aSubsetOf0(slbdtrb0(sK25),X0)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ aSet0(X0)
| sz00 = sK25
| aElementOf0(sK8(sK25),X0) ),
inference(superposition,[status(thm)],[c_18675,c_58]) ).
cnf(c_19303,plain,
( ~ aSubsetOf0(slbdtrb0(sK25),X0)
| ~ aElementOf0(sK25,szNzAzT0)
| ~ aSet0(X0)
| sz00 = sK25
| aElementOf0(sK8(sK25),X0) ),
inference(superposition,[status(thm)],[c_101,c_18689]) ).
cnf(c_19309,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(sK26)
| aSubsetOf0(sK27,sK26) ),
inference(superposition,[status(thm)],[c_225,c_154]) ).
cnf(c_20629,plain,
sdtlseqdt0(sK25,sK25),
inference(superposition,[status(thm)],[c_229,c_108]) ).
cnf(c_20728,plain,
( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| aSet0(sK26) ),
inference(superposition,[status(thm)],[c_228,c_59]) ).
cnf(c_21468,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| aSet0(sdtmndt0(X1,X0)) ),
inference(superposition,[status(thm)],[c_1799,c_86]) ).
cnf(c_21471,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK25)))
| ~ aSet0(sdtlpdtrp0(xN,sK25))
| aSet0(sK26) ),
inference(superposition,[status(thm)],[c_21468,c_20728]) ).
cnf(c_21826,plain,
( szszuzczcdt0(sK8(sK25)) = sK25
| sz00 = sK25 ),
inference(superposition,[status(thm)],[c_229,c_100]) ).
cnf(c_21850,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,sK25),szNzAzT0)
| sdtlpdtrp0(xN,sK25) = slcrc0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK25)),sdtlpdtrp0(xN,sK25)) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_21856,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| sz00 = sK25
| aElementOf0(sK8(sK25),slbdtrb0(sK25)) ),
inference(superposition,[status(thm)],[c_21826,c_141]) ).
cnf(c_21889,plain,
( ~ aSubsetOf0(slbdtrb0(sK25),X0)
| ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ aSet0(X0)
| sz00 = sK25
| aElementOf0(sK8(sK25),X0) ),
inference(superposition,[status(thm)],[c_21856,c_58]) ).
cnf(c_22524,plain,
( ~ aSubsetOf0(slbdtrb0(sK25),X0)
| ~ aSet0(X0)
| sz00 = sK25
| aElementOf0(sK8(sK25),X0) ),
inference(global_subsumption_just,[status(thm)],[c_21889,c_229,c_19303]) ).
cnf(c_22981,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sK25,X0)
| sz00 = sK25
| aElementOf0(sK8(sK25),slbdtrb0(X0)) ),
inference(superposition,[status(thm)],[c_21826,c_135]) ).
cnf(c_23053,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(slbdtrb0(X0))
| ~ sdtlseqdt0(sK25,X0)
| ~ aElementOf0(sK25,szNzAzT0)
| sz00 = sK25
| aElementOf0(sK8(sK25),slbdtrb0(X0)) ),
inference(superposition,[status(thm)],[c_145,c_22524]) ).
cnf(c_23074,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| sz00 = sK25
| aSubsetOf0(sdtlpdtrp0(xN,sK25),sdtmndt0(sdtlpdtrp0(xN,sK8(sK25)),szmzizndt0(sdtlpdtrp0(xN,sK8(sK25))))) ),
inference(superposition,[status(thm)],[c_21826,c_6796]) ).
cnf(c_23142,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sK25,X0)
| sz00 = sK25
| aElementOf0(sK8(sK25),slbdtrb0(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_22981,c_229,c_138,c_23053]) ).
cnf(c_23150,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sK25,X0)
| sz00 = sK25
| aElementOf0(sK8(sK25),szNzAzT0) ),
inference(superposition,[status(thm)],[c_23142,c_137]) ).
cnf(c_23332,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(sK26)
| sbrdtbr0(sK27) = xk ),
inference(superposition,[status(thm)],[c_225,c_153]) ).
cnf(c_23481,plain,
( ~ aElementOf0(sK25,szNzAzT0)
| sz00 = sK25
| aElementOf0(sK8(sK25),szNzAzT0) ),
inference(superposition,[status(thm)],[c_20629,c_23150]) ).
cnf(c_23499,plain,
( sz00 = sK25
| aElementOf0(sK8(sK25),szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_23481,c_229,c_23481]) ).
cnf(c_23953,plain,
( ~ sP2(X0,X1,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25)))) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_28380,plain,
( szszuzczcdt0(sK8(sK25)) = sK25
| sz00 = sK25 ),
inference(superposition,[status(thm)],[c_229,c_100]) ).
cnf(c_29675,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| sz00 = sK25
| aSubsetOf0(sdtlpdtrp0(xN,sK25),sdtmndt0(sdtlpdtrp0(xN,sK8(sK25)),szmzizndt0(sdtlpdtrp0(xN,sK8(sK25))))) ),
inference(superposition,[status(thm)],[c_28380,c_6796]) ).
cnf(c_29807,plain,
( sz00 = sK25
| aSubsetOf0(sdtlpdtrp0(xN,sK25),sdtmndt0(sdtlpdtrp0(xN,sK8(sK25)),szmzizndt0(sdtlpdtrp0(xN,sK8(sK25))))) ),
inference(global_subsumption_just,[status(thm)],[c_29675,c_23074,c_23499]) ).
cnf(c_31436,plain,
( sdtlpdtrp0(xN,sK25) != slcrc0
| ~ isFinite0(slcrc0)
| isFinite0(sdtlpdtrp0(xN,sK25)) ),
inference(instantiation,[status(thm)],[c_16031]) ).
cnf(c_33608,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK25)))
| ~ aSet0(sdtlpdtrp0(xN,sK25))
| sP2(szmzizndt0(sdtlpdtrp0(xN,sK25)),sdtlpdtrp0(xN,sK25),sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25)))) ),
inference(instantiation,[status(thm)],[c_1799]) ).
cnf(c_33609,plain,
( ~ sP2(szmzizndt0(sdtlpdtrp0(xN,sK25)),sdtlpdtrp0(xN,sK25),sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25)))) ),
inference(instantiation,[status(thm)],[c_23953]) ).
cnf(c_55184,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,sK25),X0)
| ~ aSet0(X0)
| aSet0(sdtlpdtrp0(xN,sK25)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_55185,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,sK25),szNzAzT0)
| ~ aSet0(szNzAzT0)
| aSet0(sdtlpdtrp0(xN,sK25)) ),
inference(instantiation,[status(thm)],[c_55184]) ).
cnf(c_65847,plain,
( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| aSet0(sK26) ),
inference(superposition,[status(thm)],[c_228,c_59]) ).
cnf(c_66570,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| aSet0(sdtmndt0(X1,X0)) ),
inference(superposition,[status(thm)],[c_1799,c_86]) ).
cnf(c_66592,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK25)))
| ~ aSet0(sdtlpdtrp0(xN,sK25))
| aSet0(sK26) ),
inference(superposition,[status(thm)],[c_66570,c_65847]) ).
cnf(c_66593,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,sK25)))
| aSet0(sK26) ),
inference(global_subsumption_just,[status(thm)],[c_66592,c_95,c_229,c_15779,c_21471,c_55185]) ).
cnf(c_66932,plain,
( szszuzczcdt0(sK8(sK25)) = sK25
| sz00 = sK25 ),
inference(superposition,[status(thm)],[c_229,c_100]) ).
cnf(c_67926,plain,
( ~ aElementOf0(sK8(sK25),szNzAzT0)
| sz00 = sK25
| aSubsetOf0(sdtlpdtrp0(xN,sK25),sdtmndt0(sdtlpdtrp0(xN,sK8(sK25)),szmzizndt0(sdtlpdtrp0(xN,sK8(sK25))))) ),
inference(superposition,[status(thm)],[c_66932,c_6796]) ).
cnf(c_67998,plain,
( sz00 = sK25
| aSubsetOf0(sdtlpdtrp0(xN,sK25),sdtmndt0(sdtlpdtrp0(xN,sK8(sK25)),szmzizndt0(sdtlpdtrp0(xN,sK8(sK25))))) ),
inference(global_subsumption_just,[status(thm)],[c_67926,c_29807]) ).
cnf(c_68001,plain,
( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,sK8(sK25)),szmzizndt0(sdtlpdtrp0(xN,sK8(sK25)))))
| sz00 = sK25
| aSet0(sdtlpdtrp0(xN,sK25)) ),
inference(superposition,[status(thm)],[c_67998,c_59]) ).
cnf(c_68523,plain,
aSet0(sdtlpdtrp0(xN,sK25)),
inference(global_subsumption_just,[status(thm)],[c_68001,c_95,c_229,c_15779,c_55185]) ).
cnf(c_68525,plain,
( ~ isFinite0(sdtlpdtrp0(xN,sK25))
| ~ isCountable0(sdtlpdtrp0(xN,sK25)) ),
inference(superposition,[status(thm)],[c_68523,c_54]) ).
cnf(c_84481,plain,
( ~ aElementOf0(szmzizndt0(X0),X0)
| ~ aSet0(X0)
| aElement0(szmzizndt0(X0)) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_103263,plain,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK25)),sdtlpdtrp0(xN,sK25))
| ~ aSet0(sdtlpdtrp0(xN,sK25))
| aElement0(szmzizndt0(sdtlpdtrp0(xN,sK25))) ),
inference(instantiation,[status(thm)],[c_84481]) ).
cnf(c_122858,plain,
( ~ aSet0(X0)
| ~ isFinite0(X0)
| sbrdtbr0(slbdtrb0(sbrdtbr0(X0))) = sbrdtbr0(X0) ),
inference(superposition,[status(thm)],[c_114,c_148]) ).
cnf(c_124931,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(sK26)
| sbrdtbr0(sK27) = xk ),
inference(superposition,[status(thm)],[c_225,c_153]) ).
cnf(c_124950,plain,
sbrdtbr0(sK27) = xk,
inference(global_subsumption_just,[status(thm)],[c_124931,c_95,c_53,c_229,c_207,c_15775,c_15779,c_21850,c_23332,c_31436,c_55185,c_66593,c_68525,c_103263]) ).
cnf(c_124953,plain,
( ~ aElementOf0(sbrdtbr0(sK27),szNzAzT0)
| ~ aSubsetOf0(sK27,X0)
| ~ aSet0(X0)
| aElementOf0(sK27,slbdtsldtrb0(X0,xk)) ),
inference(superposition,[status(thm)],[c_124950,c_152]) ).
cnf(c_124961,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(sK27)
| isFinite0(sK27) ),
inference(superposition,[status(thm)],[c_124950,c_115]) ).
cnf(c_124966,plain,
isFinite0(sK27),
inference(global_subsumption_just,[status(thm)],[c_124961,c_226,c_207,c_124961]) ).
cnf(c_125097,plain,
( ~ aSubsetOf0(sK27,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ aElementOf0(sbrdtbr0(sK27),szNzAzT0) ),
inference(superposition,[status(thm)],[c_124953,c_224]) ).
cnf(c_137085,plain,
( ~ aSet0(sK27)
| sbrdtbr0(slbdtrb0(sbrdtbr0(sK27))) = sbrdtbr0(sK27) ),
inference(superposition,[status(thm)],[c_124966,c_122858]) ).
cnf(c_137541,plain,
sbrdtbr0(slbdtrb0(sbrdtbr0(sK27))) = sbrdtbr0(sK27),
inference(global_subsumption_just,[status(thm)],[c_137085,c_226,c_137085]) ).
cnf(c_137560,plain,
( ~ aElementOf0(sbrdtbr0(sK27),szNzAzT0)
| ~ aSet0(slbdtrb0(sbrdtbr0(sK27)))
| isFinite0(slbdtrb0(sbrdtbr0(sK27))) ),
inference(superposition,[status(thm)],[c_137541,c_115]) ).
cnf(c_137561,plain,
( ~ aSet0(slbdtrb0(sbrdtbr0(sK27)))
| ~ isFinite0(slbdtrb0(sbrdtbr0(sK27)))
| aElementOf0(sbrdtbr0(sK27),szNzAzT0) ),
inference(superposition,[status(thm)],[c_137541,c_114]) ).
cnf(c_154817,plain,
( ~ aSet0(slbdtrb0(sbrdtbr0(sK27)))
| ~ aElementOf0(xk,szNzAzT0)
| isFinite0(slbdtrb0(sbrdtbr0(sK27))) ),
inference(superposition,[status(thm)],[c_124950,c_137560]) ).
cnf(c_154828,plain,
( ~ aSet0(slbdtrb0(sbrdtbr0(sK27)))
| aElementOf0(sbrdtbr0(sK27),szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_137561,c_207,c_137561,c_154817]) ).
cnf(c_154831,plain,
( ~ aSet0(slbdtrb0(xk))
| aElementOf0(sbrdtbr0(sK27),szNzAzT0) ),
inference(superposition,[status(thm)],[c_124950,c_154828]) ).
cnf(c_182551,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(sK27,X0)
| ~ aSet0(X1)
| ~ aSet0(sK27)
| aSubsetOf0(sK27,X1) ),
inference(instantiation,[status(thm)],[c_473]) ).
cnf(c_191893,plain,
( ~ aSubsetOf0(sK26,X0)
| ~ aSubsetOf0(sK27,sK26)
| ~ aSet0(X0)
| ~ aSet0(sK27)
| aSubsetOf0(sK27,X0) ),
inference(instantiation,[status(thm)],[c_182551]) ).
cnf(c_198103,plain,
( ~ aSubsetOf0(sK26,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25))))
| ~ aSubsetOf0(sK27,sK26)
| ~ aSet0(sK27)
| aSubsetOf0(sK27,sdtmndt0(sdtlpdtrp0(xN,sK25),szmzizndt0(sdtlpdtrp0(xN,sK25)))) ),
inference(instantiation,[status(thm)],[c_191893]) ).
cnf(c_198104,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_198103,c_154831,c_125097,c_103263,c_68525,c_66593,c_55185,c_33609,c_33608,c_31436,c_21850,c_19309,c_15779,c_15775,c_15765,c_228,c_207,c_229,c_53,c_95,c_226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM588+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 17:08:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 113.51/15.80 % SZS status Started for theBenchmark.p
% 113.51/15.80 % SZS status Theorem for theBenchmark.p
% 113.51/15.80
% 113.51/15.80 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 113.51/15.80
% 113.51/15.80 ------ iProver source info
% 113.51/15.80
% 113.51/15.80 git: date: 2023-05-31 18:12:56 +0000
% 113.51/15.80 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 113.51/15.80 git: non_committed_changes: false
% 113.51/15.80 git: last_make_outside_of_git: false
% 113.51/15.80
% 113.51/15.80 ------ Parsing...
% 113.51/15.80 ------ Clausification by vclausify_rel & Parsing by iProver...
% 113.51/15.80
% 113.51/15.80 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 113.51/15.80
% 113.51/15.80 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 113.51/15.80
% 113.51/15.80 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 113.51/15.80 ------ Proving...
% 113.51/15.80 ------ Problem Properties
% 113.51/15.80
% 113.51/15.80
% 113.51/15.80 clauses 177
% 113.51/15.80 conjectures 6
% 113.51/15.80 EPR 42
% 113.51/15.80 Horn 138
% 113.51/15.80 unary 31
% 113.51/15.80 binary 24
% 113.51/15.80 lits 610
% 113.51/15.80 lits eq 95
% 113.51/15.80 fd_pure 0
% 113.51/15.80 fd_pseudo 0
% 113.51/15.80 fd_cond 10
% 113.51/15.80 fd_pseudo_cond 25
% 113.51/15.80 AC symbols 0
% 113.51/15.80
% 113.51/15.80 ------ Input Options Time Limit: Unbounded
% 113.51/15.80
% 113.51/15.80
% 113.51/15.80 ------
% 113.51/15.80 Current options:
% 113.51/15.80 ------
% 113.51/15.80
% 113.51/15.80
% 113.51/15.80
% 113.51/15.80
% 113.51/15.80 ------ Proving...
% 113.51/15.80
% 113.51/15.80
% 113.51/15.80 % SZS status Theorem for theBenchmark.p
% 113.51/15.80
% 113.51/15.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 113.51/15.80
% 113.51/15.81
%------------------------------------------------------------------------------