TSTP Solution File: NUM590+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM590+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 11:31:41 EDT 2023
% Result : Theorem 103.67s 14.79s
% Output : CNFRefutation 103.67s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f519)
% 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(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(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
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(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(f55,axiom,
! [X0] :
( ( isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
fof(f70,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X1)
=> sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefRst) ).
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(f86,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSet0(X1) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).
fof(f90,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4448) ).
fof(f91,axiom,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4448_02) ).
fof(f92,conjecture,
aSubsetOf0(xY,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f93,negated_conjecture,
~ aSubsetOf0(xY,szNzAzT0),
inference(negated_conjecture,[],[f92]) ).
fof(f101,plain,
~ aSubsetOf0(xY,szNzAzT0),
inference(flattening,[],[f93]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f104,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f105,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f104]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f118,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(f119,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,[],[f118]) ).
fof(f131,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f134,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f135,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f134]) ).
fof(f161,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(f162,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f161]) ).
fof(f167,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(f173,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f174,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f173]) ).
fof(f188,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtexdt0(X0,X1) = X2
<=> ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f203,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(f204,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,[],[f203]) ).
fof(f205,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f212,plain,
( ! [X0] :
( ( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aSet0(X1) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(ennf_transformation,[],[f86]) ).
fof(f213,plain,
( ! [X0] :
( ( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aSet0(X1) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(flattening,[],[f212]) ).
fof(f220,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(f221,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> sP2(X1,X0,X2) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f222,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f119,f221,f220]) ).
fof(f228,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,[],[f108]) ).
fof(f229,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,[],[f228]) ).
fof(f230,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,[],[f229]) ).
fof(f231,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f232,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])],[f230,f231]) ).
fof(f239,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,[],[f221]) ).
fof(f240,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,[],[f220]) ).
fof(f241,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,[],[f240]) ).
fof(f242,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,[],[f241]) ).
fof(f243,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(f244,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])],[f242,f243]) ).
fof(f245,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK8(X0)) = X0
& aElementOf0(sK8(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f246,plain,
! [X0] :
( ( szszuzczcdt0(sK8(X0)) = X0
& aElementOf0(sK8(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f135,f245]) ).
fof(f252,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,[],[f162]) ).
fof(f253,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,[],[f252]) ).
fof(f254,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,[],[f253]) ).
fof(f255,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK10(X0,X1))
& aElementOf0(sK10(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f256,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])],[f254,f255]) ).
fof(f262,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,[],[f167]) ).
fof(f263,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,[],[f262]) ).
fof(f264,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,[],[f263]) ).
fof(f265,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(f266,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])],[f264,f265]) ).
fof(f270,plain,
! [X0] :
( ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) )
=> ( aSubsetOf0(X0,slbdtrb0(sK13(X0)))
& aElementOf0(sK13(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f271,plain,
! [X0] :
( ( aSubsetOf0(X0,slbdtrb0(sK13(X0)))
& aElementOf0(sK13(X0),szNzAzT0) )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f174,f270]) ).
fof(f291,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtexdt0(X0,X1) = X2
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| sdtexdt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(nnf_transformation,[],[f196]) ).
fof(f292,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtexdt0(X0,X1) = X2
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X3] :
( sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X2,X3)
| ~ aElementOf0(X3,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| sdtexdt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f291]) ).
fof(f293,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtexdt0(X0,X1) = X2
| ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X2,X4)
| ~ aElementOf0(X4,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| sdtexdt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(rectify,[],[f292]) ).
fof(f294,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3)
& aElementOf0(X3,X1) )
=> ( sdtlpdtrp0(X0,sK20(X0,X1,X2)) != sdtlpdtrp0(X2,sK20(X0,X1,X2))
& aElementOf0(sK20(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f295,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtexdt0(X0,X1) = X2
| ( sdtlpdtrp0(X0,sK20(X0,X1,X2)) != sdtlpdtrp0(X2,sK20(X0,X1,X2))
& aElementOf0(sK20(X0,X1,X2),X1) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2) )
& ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X2,X4)
| ~ aElementOf0(X4,X1) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) )
| sdtexdt0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f293,f294]) ).
fof(f301,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f305,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f306,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f308,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f309,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f310,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f311,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f328,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f330,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f332,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f339,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f346,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f349,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f353,plain,
! [X0] :
( szszuzczcdt0(sK8(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f375,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f384,plain,
! [X0,X1] :
( aSet0(X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f398,plain,
! [X0] :
( aElementOf0(sK13(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f415,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f433,plain,
! [X2,X0,X1] :
( aFunction0(X2)
| sdtexdt0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f434,plain,
! [X2,X0,X1] :
( szDzozmdt0(X2) = X1
| sdtexdt0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f460,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f204]) ).
fof(f461,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f204]) ).
fof(f464,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f465,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f466,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f470,plain,
aFunction0(xC),
inference(cnf_transformation,[],[f213]) ).
fof(f471,plain,
szNzAzT0 = szDzozmdt0(xC),
inference(cnf_transformation,[],[f213]) ).
fof(f478,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f90]) ).
fof(f479,plain,
xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(cnf_transformation,[],[f91]) ).
fof(f481,plain,
~ aSubsetOf0(xY,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
fof(f487,plain,
! [X0,X1] :
( sP2(X1,X0,sdtmndt0(X0,X1))
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f328]) ).
fof(f491,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f375]) ).
fof(f497,plain,
! [X0] :
( aSet0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f384]) ).
fof(f517,plain,
! [X0,X1] :
( szDzozmdt0(sdtexdt0(X0,X1)) = X1
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f434]) ).
fof(f518,plain,
! [X0,X1] :
( aFunction0(sdtexdt0(X0,X1))
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f433]) ).
cnf(c_49,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_53,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f305]) ).
cnf(c_54,plain,
( ~ aSet0(X0)
| ~ isFinite0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f306]) ).
cnf(c_56,plain,
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f311]) ).
cnf(c_57,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK5(X1,X0),X0)
| aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f310]) ).
cnf(c_58,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f309]) ).
cnf(c_59,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f308]) ).
cnf(c_77,plain,
( ~ sP3(X0,X1)
| sP2(X1,X0,sdtmndt0(X0,X1)) ),
inference(cnf_transformation,[],[f487]) ).
cnf(c_84,plain,
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X3,X2)
| aElementOf0(X3,X1) ),
inference(cnf_transformation,[],[f332]) ).
cnf(c_86,plain,
( ~ sP2(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f330]) ).
cnf(c_87,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP3(X1,X0) ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_95,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f346]) ).
cnf(c_98,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f349]) ).
cnf(c_100,plain,
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK8(X0)) = X0
| X0 = sz00 ),
inference(cnf_transformation,[],[f353]) ).
cnf(c_126,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| X0 = slcrc0
| aElementOf0(szmzizndt0(X0),X0) ),
inference(cnf_transformation,[],[f491]) ).
cnf(c_138,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(cnf_transformation,[],[f497]) ).
cnf(c_141,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0))) ),
inference(cnf_transformation,[],[f519]) ).
cnf(c_147,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| aElementOf0(sK13(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_163,plain,
( ~ aFunction0(X0)
| aSet0(szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_184,plain,
( ~ aSubsetOf0(X0,szDzozmdt0(X1))
| ~ aFunction0(X1)
| szDzozmdt0(sdtexdt0(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f517]) ).
cnf(c_185,plain,
( ~ aSubsetOf0(X0,szDzozmdt0(X1))
| ~ aFunction0(X1)
| aFunction0(sdtexdt0(X1,X0)) ),
inference(cnf_transformation,[],[f518]) ).
cnf(c_208,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ),
inference(cnf_transformation,[],[f464]) ).
cnf(c_211,plain,
szDzozmdt0(xN) = szNzAzT0,
inference(cnf_transformation,[],[f461]) ).
cnf(c_212,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f460]) ).
cnf(c_213,plain,
( ~ aElementOf0(X0,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f466]) ).
cnf(c_214,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(cnf_transformation,[],[f465]) ).
cnf(c_221,plain,
szDzozmdt0(xC) = szNzAzT0,
inference(cnf_transformation,[],[f471]) ).
cnf(c_222,plain,
aFunction0(xC),
inference(cnf_transformation,[],[f470]) ).
cnf(c_226,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f478]) ).
cnf(c_228,plain,
sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))) = xY,
inference(cnf_transformation,[],[f479]) ).
cnf(c_229,negated_conjecture,
~ aSubsetOf0(xY,szNzAzT0),
inference(cnf_transformation,[],[f481]) ).
cnf(c_365,plain,
( ~ aElementOf0(X0,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_208,c_213,c_214,c_208]) ).
cnf(c_2877,plain,
( X0 != X1
| X2 != X3
| ~ aElement0(X0)
| ~ aSet0(X2)
| sP2(X1,X3,sdtmndt0(X3,X1)) ),
inference(resolution_lifted,[status(thm)],[c_87,c_77]) ).
cnf(c_2878,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP2(X0,X1,sdtmndt0(X1,X0)) ),
inference(unflattening,[status(thm)],[c_2877]) ).
cnf(c_15294,plain,
X0 = X0,
theory(equality) ).
cnf(c_15300,plain,
( X0 != X1
| ~ isFinite0(X1)
| isFinite0(X0) ),
theory(equality) ).
cnf(c_15302,plain,
( X0 != X1
| X2 != X3
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X0,X2) ),
theory(equality) ).
cnf(c_18113,plain,
( ~ aElementOf0(xi,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(instantiation,[status(thm)],[c_213]) ).
cnf(c_18117,plain,
( ~ aElementOf0(xi,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_214]) ).
cnf(c_18268,plain,
( ~ aSet0(szNzAzT0)
| ~ aSet0(xY)
| aElementOf0(sK5(szNzAzT0,xY),xY)
| aSubsetOf0(xY,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_18273,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(szszuzczcdt0(X0))) ),
inference(superposition,[status(thm)],[c_98,c_138]) ).
cnf(c_18428,plain,
( ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0) ),
inference(superposition,[status(thm)],[c_141,c_49]) ).
cnf(c_18438,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c_214,c_59]) ).
cnf(c_18439,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18438,c_95]) ).
cnf(c_18484,plain,
( ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_18439,c_54]) ).
cnf(c_18726,plain,
( ~ aFunction0(xN)
| aSet0(szDzozmdt0(xN)) ),
inference(instantiation,[status(thm)],[c_163]) ).
cnf(c_18730,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_18428,c_18273,c_18428]) ).
cnf(c_19132,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi))
| sP2(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi),xY) ),
inference(superposition,[status(thm)],[c_228,c_2878]) ).
cnf(c_21260,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(X0)
| X0 = slcrc0
| aElement0(szmzizndt0(X0)) ),
inference(resolution,[status(thm)],[c_49,c_126]) ).
cnf(c_21261,plain,
( ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0) ),
inference(resolution,[status(thm)],[c_49,c_141]) ).
cnf(c_21500,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_21261,c_18730]) ).
cnf(c_21515,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| aElement0(sK13(X0)) ),
inference(resolution,[status(thm)],[c_21500,c_147]) ).
cnf(c_21571,plain,
( ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(sK13(sdtlpdtrp0(xN,X0))) ),
inference(resolution,[status(thm)],[c_21515,c_214]) ).
cnf(c_22036,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(slcrc0)
| aElementOf0(szmzizndt0(X0),X0)
| isFinite0(X0) ),
inference(resolution,[status(thm)],[c_15300,c_126]) ).
cnf(c_24946,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(X0),X0)
| isFinite0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_22036,c_53,c_22036]) ).
cnf(c_24961,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(X0)
| aElement0(szmzizndt0(X0))
| isFinite0(X0) ),
inference(resolution,[status(thm)],[c_24946,c_49]) ).
cnf(c_25003,plain,
( ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| isFinite0(sdtlpdtrp0(xN,X0)) ),
inference(resolution,[status(thm)],[c_24961,c_214]) ).
cnf(c_27092,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ isFinite0(sdtlpdtrp0(xN,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_21571,c_213,c_18484]) ).
cnf(c_27093,plain,
( ~ isFinite0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(renaming,[status(thm)],[c_27092]) ).
cnf(c_27101,plain,
( ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_25003,c_27093]) ).
cnf(c_27129,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0))) ),
inference(global_subsumption_just,[status(thm)],[c_27101,c_18439,c_27101]) ).
cnf(c_34864,plain,
( X0 != X1
| ~ aSubsetOf0(X1,szNzAzT0)
| aSubsetOf0(X0,szDzozmdt0(xN)) ),
inference(resolution,[status(thm)],[c_15302,c_211]) ).
cnf(c_53593,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| aSubsetOf0(X0,szDzozmdt0(xN)) ),
inference(resolution,[status(thm)],[c_34864,c_15294]) ).
cnf(c_54567,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(szDzozmdt0(xN))
| aSet0(X0) ),
inference(resolution,[status(thm)],[c_53593,c_59]) ).
cnf(c_56981,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| aSet0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_54567,c_212,c_18726,c_54567]) ).
cnf(c_57007,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| X0 = slcrc0
| aElement0(szmzizndt0(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_21260,c_56981]) ).
cnf(c_81449,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c_214,c_59]) ).
cnf(c_81450,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81449,c_95]) ).
cnf(c_81722,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(X0)
| X0 = slcrc0
| aElement0(szmzizndt0(X0)) ),
inference(superposition,[status(thm)],[c_126,c_49]) ).
cnf(c_81814,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ aFunction0(xC)
| aFunction0(sdtexdt0(xC,X0)) ),
inference(superposition,[status(thm)],[c_221,c_185]) ).
cnf(c_81815,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| aFunction0(sdtexdt0(xC,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81814,c_222]) ).
cnf(c_82029,plain,
( szszuzczcdt0(sK8(xi)) = xi
| sz00 = xi ),
inference(superposition,[status(thm)],[c_226,c_100]) ).
cnf(c_82150,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| X0 = slcrc0
| aElement0(szmzizndt0(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_81722,c_57007]) ).
cnf(c_82157,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xN,X0) = slcrc0
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0))) ),
inference(superposition,[status(thm)],[c_214,c_82150]) ).
cnf(c_82265,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ aFunction0(xC)
| szDzozmdt0(sdtexdt0(xC,X0)) = X0 ),
inference(superposition,[status(thm)],[c_221,c_184]) ).
cnf(c_82266,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| szDzozmdt0(sdtexdt0(xC,X0)) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_82265,c_222]) ).
cnf(c_82397,plain,
( ~ aElementOf0(sK8(xi),szNzAzT0)
| sz00 = xi
| isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(superposition,[status(thm)],[c_82029,c_365]) ).
cnf(c_83717,plain,
( ~ aElementOf0(X0,szNzAzT0)
| szDzozmdt0(sdtexdt0(xC,sdtlpdtrp0(xN,X0))) = sdtlpdtrp0(xN,X0) ),
inference(superposition,[status(thm)],[c_214,c_82266]) ).
cnf(c_85478,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| aSet0(sdtmndt0(X1,X0)) ),
inference(superposition,[status(thm)],[c_2878,c_86]) ).
cnf(c_85499,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi))
| aSet0(xY) ),
inference(superposition,[status(thm)],[c_228,c_85478]) ).
cnf(c_86029,plain,
isCountable0(sdtlpdtrp0(xN,xi)),
inference(global_subsumption_just,[status(thm)],[c_82397,c_226,c_18113]) ).
cnf(c_101580,plain,
( ~ aElementOf0(szmzizndt0(X0),X0)
| ~ aSet0(X0)
| aElement0(szmzizndt0(X0)) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_101619,plain,
( X0 != slcrc0
| ~ isFinite0(slcrc0)
| isFinite0(X0) ),
inference(instantiation,[status(thm)],[c_15300]) ).
cnf(c_112924,plain,
( sdtlpdtrp0(xN,X0) != slcrc0
| ~ isFinite0(slcrc0)
| isFinite0(sdtlpdtrp0(xN,X0)) ),
inference(instantiation,[status(thm)],[c_101619]) ).
cnf(c_120836,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| sdtlpdtrp0(xN,X0) = slcrc0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_127445,plain,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ aSet0(sdtlpdtrp0(xN,xi))
| aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
inference(instantiation,[status(thm)],[c_101580]) ).
cnf(c_128460,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| sdtlpdtrp0(xN,xi) = slcrc0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(instantiation,[status(thm)],[c_120836]) ).
cnf(c_139029,plain,
( sdtlpdtrp0(xN,xi) != slcrc0
| ~ isFinite0(slcrc0)
| isFinite0(sdtlpdtrp0(xN,xi)) ),
inference(instantiation,[status(thm)],[c_112924]) ).
cnf(c_143225,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szmzizndt0(sdtlpdtrp0(xN,X0))) ),
inference(global_subsumption_just,[status(thm)],[c_82157,c_27129]) ).
cnf(c_143234,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(xi,szNzAzT0)
| aSet0(xY) ),
inference(superposition,[status(thm)],[c_143225,c_85499]) ).
cnf(c_143235,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| aSet0(xY) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143234,c_226]) ).
cnf(c_143306,plain,
( ~ aElementOf0(xi,szNzAzT0)
| aSet0(xY) ),
inference(superposition,[status(thm)],[c_81450,c_143235]) ).
cnf(c_143307,plain,
aSet0(xY),
inference(forward_subsumption_resolution,[status(thm)],[c_143306,c_226]) ).
cnf(c_149343,plain,
szDzozmdt0(sdtexdt0(xC,sdtlpdtrp0(xN,xi))) = sdtlpdtrp0(xN,xi),
inference(superposition,[status(thm)],[c_226,c_83717]) ).
cnf(c_150747,plain,
( ~ aFunction0(sdtexdt0(xC,sdtlpdtrp0(xN,xi)))
| aSet0(sdtlpdtrp0(xN,xi)) ),
inference(superposition,[status(thm)],[c_149343,c_163]) ).
cnf(c_151345,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| aSet0(sdtlpdtrp0(xN,xi)) ),
inference(superposition,[status(thm)],[c_81815,c_150747]) ).
cnf(c_151945,plain,
aSet0(sdtlpdtrp0(xN,xi)),
inference(global_subsumption_just,[status(thm)],[c_151345,c_226,c_18117,c_151345]) ).
cnf(c_151954,plain,
( ~ isFinite0(sdtlpdtrp0(xN,xi))
| ~ isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(superposition,[status(thm)],[c_151945,c_54]) ).
cnf(c_151955,plain,
~ isFinite0(sdtlpdtrp0(xN,xi)),
inference(forward_subsumption_resolution,[status(thm)],[c_151954,c_86029]) ).
cnf(c_161917,plain,
( ~ aElementOf0(sK5(szNzAzT0,xY),xY)
| ~ sP2(X0,X1,xY)
| aElementOf0(sK5(szNzAzT0,xY),X1) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_167537,plain,
( ~ sP2(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi),xY)
| ~ aElementOf0(sK5(szNzAzT0,xY),xY)
| aElementOf0(sK5(szNzAzT0,xY),sdtlpdtrp0(xN,xi)) ),
inference(instantiation,[status(thm)],[c_161917]) ).
cnf(c_173366,plain,
( ~ aElementOf0(sK5(szNzAzT0,xY),sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),X0)
| ~ aSet0(X0)
| aElementOf0(sK5(szNzAzT0,xY),X0) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_173368,plain,
( ~ aElementOf0(sK5(szNzAzT0,xY),sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ aSet0(szNzAzT0)
| aElementOf0(sK5(szNzAzT0,xY),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_173366]) ).
cnf(c_178015,plain,
( ~ aElementOf0(sK5(szNzAzT0,xY),szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aSet0(xY)
| aSubsetOf0(xY,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_178016,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_178015,c_173368,c_167537,c_151955,c_151345,c_143307,c_139029,c_128460,c_127445,c_19132,c_18268,c_18117,c_229,c_226,c_53,c_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM590+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n011.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 : Fri Aug 25 13:16:53 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 103.67/14.79 % SZS status Started for theBenchmark.p
% 103.67/14.79 % SZS status Theorem for theBenchmark.p
% 103.67/14.79
% 103.67/14.79 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 103.67/14.79
% 103.67/14.79 ------ iProver source info
% 103.67/14.79
% 103.67/14.79 git: date: 2023-05-31 18:12:56 +0000
% 103.67/14.79 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 103.67/14.79 git: non_committed_changes: false
% 103.67/14.79 git: last_make_outside_of_git: false
% 103.67/14.79
% 103.67/14.79 ------ Parsing...
% 103.67/14.79 ------ Clausification by vclausify_rel & Parsing by iProver...
% 103.67/14.79
% 103.67/14.79 ------ 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: 1 0s sf_e pe_s pe_e
% 103.67/14.79
% 103.67/14.79 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 103.67/14.79
% 103.67/14.79 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 103.67/14.79 ------ Proving...
% 103.67/14.79 ------ Problem Properties
% 103.67/14.79
% 103.67/14.79
% 103.67/14.79 clauses 178
% 103.67/14.79 conjectures 1
% 103.67/14.79 EPR 42
% 103.67/14.79 Horn 139
% 103.67/14.79 unary 30
% 103.67/14.79 binary 25
% 103.67/14.79 lits 617
% 103.67/14.79 lits eq 93
% 103.67/14.79 fd_pure 0
% 103.67/14.79 fd_pseudo 0
% 103.67/14.79 fd_cond 10
% 103.67/14.79 fd_pseudo_cond 25
% 103.67/14.79 AC symbols 0
% 103.67/14.79
% 103.67/14.79 ------ Input Options Time Limit: Unbounded
% 103.67/14.79
% 103.67/14.79
% 103.67/14.79 ------
% 103.67/14.79 Current options:
% 103.67/14.79 ------
% 103.67/14.79
% 103.67/14.79
% 103.67/14.79
% 103.67/14.79
% 103.67/14.79 ------ Proving...
% 103.67/14.79
% 103.67/14.79
% 103.67/14.79 % SZS status Theorem for theBenchmark.p
% 103.67/14.79
% 103.67/14.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 103.67/14.79
% 103.67/14.79
%------------------------------------------------------------------------------