%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM542+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:49:30 PM UTC 2026
% Result : Theorem 0.43s 0.59s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 31
% Syntax : Number of formulae : 168 ( 19 unt; 0 def)
% Number of atoms : 1201 ( 117 equ)
% Maximal formula atoms : 460 ( 7 avg)
% Number of connectives : 1648 ( 615 ~; 734 |; 226 &)
% ( 21 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 259 ( 5 sgn 133 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) )
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),xn)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),xm)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(xm)) )
=> sdtlseqdt0(xm,xn) )
& ( sdtlseqdt0(xm,xn)
=> ( ( ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),xm)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(xm)) )
=> ( ( ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),xn)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(xn)) )
=> ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X2),X1)
| sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( szszuzczcdt0(X1) != sz00
& aElementOf0(szszuzczcdt0(X1),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( ~ ? [X2] : aElementOf0(X2,X1)
& aSet0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(mSegSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
<=> ( X1 = X2
| aElementOf0(X1,slbdtrb0(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
fof(m__1964,hypothesis,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1964) ).
fof(mCardDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( aElementOf0(X2,X1)
& isFinite0(X1) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aElement0(X2)
& aSet0(X1) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( ! [X4] :
( aElementOf0(X4,X3)
<=> ( X4 != X2
& aElementOf0(X4,X1)
& aElement0(X4) ) )
& aSet0(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(mNoScLessZr,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ? [X2] :
( X1 = szszuzczcdt0(X2)
& aElementOf0(X2,szNzAzT0) )
| X1 = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X3)
& aSet0(X2)
& aSet0(X1) )
=> ( ( aSubsetOf0(X2,X3)
& aSubsetOf0(X1,X2) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(mCardSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( aSubsetOf0(X2,X1)
& isFinite0(X1) )
=> sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlseqdt0(szszuzczcdt0(X3),X1)
& aElementOf0(X3,szNzAzT0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(mLessTrans,axiom,
! [X1,X2,X3] :
( ( aElementOf0(X3,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(mFDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( isFinite0(X2)
& aSet0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aElement0(X2)
& aSet0(X1) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( ! [X4] :
( aElementOf0(X4,X3)
<=> ( ( X4 = X2
| aElementOf0(X4,X1) )
& aElement0(X4) ) )
& aSet0(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(mSubASymm,axiom,
! [X1,X2] :
( ( aSet0(X2)
& aSet0(X1) )
=> ( ( aSubsetOf0(X2,X1)
& aSubsetOf0(X1,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(mCardSubEx,axiom,
! [X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aSet0(X1) )
=> ( ( sdtlseqdt0(X2,sbrdtbr0(X1))
& isFinite0(X1) )
=> ? [X3] :
( sbrdtbr0(X3) = X2
& aSubsetOf0(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSubEx) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X2,X1)
& sdtlseqdt0(X1,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(mSegFin,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtrb0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegFin) ).
fof(mZeroLess,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(c_0_31,negated_conjecture,
~ ( ( ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) )
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),xn)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),xm)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(xm)) )
=> sdtlseqdt0(xm,xn) )
& ( sdtlseqdt0(xm,xn)
=> ( ( ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),xm)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(xm)) )
=> ( ( ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),xn)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(xn)) )
=> ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_32,negated_conjecture,
! [X113,X114,X116,X117,X118] :
( ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) )
& ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aElementOf0(X118,slbdtrb0(xn))
| ~ aElementOf0(X118,slbdtrb0(xm)) )
& ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aElementOf0(X117,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X117),xn)
| ~ aElementOf0(X117,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(X117,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X117),xn) )
& ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(X117,slbdtrb0(xn))
| aElementOf0(X117,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aElementOf0(X116,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X116),xm)
| ~ aElementOf0(X116,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(X116,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X116),xm) )
& ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(X116,slbdtrb0(xm))
| aElementOf0(X116,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(esk10_0,slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(esk10_0,slbdtrb0(xn))
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(esk10_0,slbdtrb0(xn))
| aElementOf0(X118,slbdtrb0(xn))
| ~ aElementOf0(X118,slbdtrb0(xm)) )
& ( ~ aElementOf0(esk10_0,slbdtrb0(xn))
| aElementOf0(X117,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X117),xn)
| ~ aElementOf0(X117,szNzAzT0) )
& ( ~ aElementOf0(esk10_0,slbdtrb0(xn))
| ~ aElementOf0(X117,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X117),xn) )
& ( ~ aElementOf0(esk10_0,slbdtrb0(xn))
| ~ aElementOf0(X117,slbdtrb0(xn))
| aElementOf0(X117,szNzAzT0) )
& ( ~ aElementOf0(esk10_0,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(esk10_0,slbdtrb0(xn))
| aElementOf0(X116,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X116),xm)
| ~ aElementOf0(X116,szNzAzT0) )
& ( ~ aElementOf0(esk10_0,slbdtrb0(xn))
| ~ aElementOf0(X116,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X116),xm) )
& ( ~ aElementOf0(esk10_0,slbdtrb0(xn))
| ~ aElementOf0(X116,slbdtrb0(xm))
| aElementOf0(X116,szNzAzT0) )
& ( ~ aElementOf0(esk10_0,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( aElementOf0(esk10_0,slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn) )
& ( aElementOf0(esk10_0,slbdtrb0(xm))
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aElementOf0(esk10_0,slbdtrb0(xm))
| aElementOf0(X118,slbdtrb0(xn))
| ~ aElementOf0(X118,slbdtrb0(xm)) )
& ( aElementOf0(esk10_0,slbdtrb0(xm))
| aElementOf0(X117,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X117),xn)
| ~ aElementOf0(X117,szNzAzT0) )
& ( aElementOf0(esk10_0,slbdtrb0(xm))
| ~ aElementOf0(X117,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X117),xn) )
& ( aElementOf0(esk10_0,slbdtrb0(xm))
| ~ aElementOf0(X117,slbdtrb0(xn))
| aElementOf0(X117,szNzAzT0) )
& ( aElementOf0(esk10_0,slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( aElementOf0(esk10_0,slbdtrb0(xm))
| aElementOf0(X116,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X116),xm)
| ~ aElementOf0(X116,szNzAzT0) )
& ( aElementOf0(esk10_0,slbdtrb0(xm))
| ~ aElementOf0(X116,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X116),xm) )
& ( aElementOf0(esk10_0,slbdtrb0(xm))
| ~ aElementOf0(X116,slbdtrb0(xm))
| aElementOf0(X116,szNzAzT0) )
& ( aElementOf0(esk10_0,slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( aElementOf0(X114,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X114,szNzAzT0)
| ~ sdtlseqdt0(xm,xn) )
& ( aElementOf0(X114,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X114,szNzAzT0)
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aElementOf0(X114,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X114,szNzAzT0)
| aElementOf0(X118,slbdtrb0(xn))
| ~ aElementOf0(X118,slbdtrb0(xm)) )
& ( aElementOf0(X114,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X114,szNzAzT0)
| aElementOf0(X117,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X117),xn)
| ~ aElementOf0(X117,szNzAzT0) )
& ( aElementOf0(X114,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X114,szNzAzT0)
| ~ aElementOf0(X117,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X117),xn) )
& ( aElementOf0(X114,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X114,szNzAzT0)
| ~ aElementOf0(X117,slbdtrb0(xn))
| aElementOf0(X117,szNzAzT0) )
& ( aElementOf0(X114,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X114,szNzAzT0)
| aSet0(slbdtrb0(xn)) )
& ( aElementOf0(X114,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X114,szNzAzT0)
| aElementOf0(X116,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X116),xm)
| ~ aElementOf0(X116,szNzAzT0) )
& ( aElementOf0(X114,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X114,szNzAzT0)
| ~ aElementOf0(X116,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X116),xm) )
& ( aElementOf0(X114,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X114,szNzAzT0)
| ~ aElementOf0(X116,slbdtrb0(xm))
| aElementOf0(X116,szNzAzT0) )
& ( aElementOf0(X114,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X114,szNzAzT0)
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X114),xn)
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X114),xn)
| aElementOf0(X118,slbdtrb0(xn))
| ~ aElementOf0(X118,slbdtrb0(xm)) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X114),xn)
| aElementOf0(X117,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X117),xn)
| ~ aElementOf0(X117,szNzAzT0) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X117,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X117),xn) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X117,slbdtrb0(xn))
| aElementOf0(X117,szNzAzT0) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X114),xn)
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X114),xn)
| aElementOf0(X116,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X116),xm)
| ~ aElementOf0(X116,szNzAzT0) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X116,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X116),xm) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X114),xn)
| ~ aElementOf0(X116,slbdtrb0(xm))
| aElementOf0(X116,szNzAzT0) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X114),xn)
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| aElementOf0(X114,szNzAzT0)
| ~ sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| aElementOf0(X114,szNzAzT0)
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| aElementOf0(X114,szNzAzT0)
| aElementOf0(X118,slbdtrb0(xn))
| ~ aElementOf0(X118,slbdtrb0(xm)) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| aElementOf0(X114,szNzAzT0)
| aElementOf0(X117,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X117),xn)
| ~ aElementOf0(X117,szNzAzT0) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| aElementOf0(X114,szNzAzT0)
| ~ aElementOf0(X117,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X117),xn) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| aElementOf0(X114,szNzAzT0)
| ~ aElementOf0(X117,slbdtrb0(xn))
| aElementOf0(X117,szNzAzT0) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| aElementOf0(X114,szNzAzT0)
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| aElementOf0(X114,szNzAzT0)
| aElementOf0(X116,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X116),xm)
| ~ aElementOf0(X116,szNzAzT0) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| aElementOf0(X114,szNzAzT0)
| ~ aElementOf0(X116,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X116),xm) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| aElementOf0(X114,szNzAzT0)
| ~ aElementOf0(X116,slbdtrb0(xm))
| aElementOf0(X116,szNzAzT0) )
& ( ~ aElementOf0(X114,slbdtrb0(xn))
| aElementOf0(X114,szNzAzT0)
| aSet0(slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) )
& ( aSet0(slbdtrb0(xn))
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(X118,slbdtrb0(xn))
| ~ aElementOf0(X118,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(X117,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X117),xn)
| ~ aElementOf0(X117,szNzAzT0) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(X117,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X117),xn) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(X117,slbdtrb0(xn))
| aElementOf0(X117,szNzAzT0) )
& ( aSet0(slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(X116,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X116),xm)
| ~ aElementOf0(X116,szNzAzT0) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(X116,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X116),xm) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(X116,slbdtrb0(xm))
| aElementOf0(X116,szNzAzT0) )
& ( aSet0(slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( aElementOf0(X113,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X113,szNzAzT0)
| ~ sdtlseqdt0(xm,xn) )
& ( aElementOf0(X113,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X113,szNzAzT0)
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aElementOf0(X113,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X113,szNzAzT0)
| aElementOf0(X118,slbdtrb0(xn))
| ~ aElementOf0(X118,slbdtrb0(xm)) )
& ( aElementOf0(X113,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X113,szNzAzT0)
| aElementOf0(X117,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X117),xn)
| ~ aElementOf0(X117,szNzAzT0) )
& ( aElementOf0(X113,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X113,szNzAzT0)
| ~ aElementOf0(X117,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X117),xn) )
& ( aElementOf0(X113,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X113,szNzAzT0)
| ~ aElementOf0(X117,slbdtrb0(xn))
| aElementOf0(X117,szNzAzT0) )
& ( aElementOf0(X113,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X113,szNzAzT0)
| aSet0(slbdtrb0(xn)) )
& ( aElementOf0(X113,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X113,szNzAzT0)
| aElementOf0(X116,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X116),xm)
| ~ aElementOf0(X116,szNzAzT0) )
& ( aElementOf0(X113,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X113,szNzAzT0)
| ~ aElementOf0(X116,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X116),xm) )
& ( aElementOf0(X113,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X113,szNzAzT0)
| ~ aElementOf0(X116,slbdtrb0(xm))
| aElementOf0(X116,szNzAzT0) )
& ( aElementOf0(X113,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X113,szNzAzT0)
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X113),xm)
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X113),xm)
| aElementOf0(X118,slbdtrb0(xn))
| ~ aElementOf0(X118,slbdtrb0(xm)) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X113),xm)
| aElementOf0(X117,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X117),xn)
| ~ aElementOf0(X117,szNzAzT0) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X117,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X117),xn) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X117,slbdtrb0(xn))
| aElementOf0(X117,szNzAzT0) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X113),xm)
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X113),xm)
| aElementOf0(X116,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X116),xm)
| ~ aElementOf0(X116,szNzAzT0) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X116,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X116),xm) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X113),xm)
| ~ aElementOf0(X116,slbdtrb0(xm))
| aElementOf0(X116,szNzAzT0) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X113),xm)
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| aElementOf0(X113,szNzAzT0)
| ~ sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| aElementOf0(X113,szNzAzT0)
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| aElementOf0(X113,szNzAzT0)
| aElementOf0(X118,slbdtrb0(xn))
| ~ aElementOf0(X118,slbdtrb0(xm)) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| aElementOf0(X113,szNzAzT0)
| aElementOf0(X117,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X117),xn)
| ~ aElementOf0(X117,szNzAzT0) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| aElementOf0(X113,szNzAzT0)
| ~ aElementOf0(X117,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X117),xn) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| aElementOf0(X113,szNzAzT0)
| ~ aElementOf0(X117,slbdtrb0(xn))
| aElementOf0(X117,szNzAzT0) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| aElementOf0(X113,szNzAzT0)
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| aElementOf0(X113,szNzAzT0)
| aElementOf0(X116,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X116),xm)
| ~ aElementOf0(X116,szNzAzT0) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| aElementOf0(X113,szNzAzT0)
| ~ aElementOf0(X116,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X116),xm) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| aElementOf0(X113,szNzAzT0)
| ~ aElementOf0(X116,slbdtrb0(xm))
| aElementOf0(X116,szNzAzT0) )
& ( ~ aElementOf0(X113,slbdtrb0(xm))
| aElementOf0(X113,szNzAzT0)
| aSet0(slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn) )
& ( aSet0(slbdtrb0(xm))
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(X118,slbdtrb0(xn))
| ~ aElementOf0(X118,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(X117,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X117),xn)
| ~ aElementOf0(X117,szNzAzT0) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(X117,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X117),xn) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(X117,slbdtrb0(xn))
| aElementOf0(X117,szNzAzT0) )
& ( aSet0(slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(X116,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X116),xm)
| ~ aElementOf0(X116,szNzAzT0) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(X116,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X116),xm) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(X116,slbdtrb0(xm))
| aElementOf0(X116,szNzAzT0) )
& ( aSet0(slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(xm,xn) )
& ( sdtlseqdt0(xm,xn)
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( sdtlseqdt0(xm,xn)
| aElementOf0(X118,slbdtrb0(xn))
| ~ aElementOf0(X118,slbdtrb0(xm)) )
& ( sdtlseqdt0(xm,xn)
| aElementOf0(X117,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X117),xn)
| ~ aElementOf0(X117,szNzAzT0) )
& ( sdtlseqdt0(xm,xn)
| ~ aElementOf0(X117,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X117),xn) )
& ( sdtlseqdt0(xm,xn)
| ~ aElementOf0(X117,slbdtrb0(xn))
| aElementOf0(X117,szNzAzT0) )
& ( sdtlseqdt0(xm,xn)
| aSet0(slbdtrb0(xn)) )
& ( sdtlseqdt0(xm,xn)
| aElementOf0(X116,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X116),xm)
| ~ aElementOf0(X116,szNzAzT0) )
& ( sdtlseqdt0(xm,xn)
| ~ aElementOf0(X116,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X116),xm) )
& ( sdtlseqdt0(xm,xn)
| ~ aElementOf0(X116,slbdtrb0(xm))
| aElementOf0(X116,szNzAzT0) )
& ( sdtlseqdt0(xm,xn)
| aSet0(slbdtrb0(xm)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])])])]) ).
cnf(c_0_33,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(xm,xn)
| aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_34,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(xm,xn)
| aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_35,plain,
! [X75,X76] :
( sdtlseqdt0(szszuzczcdt0(X76),X75)
| sdtlseqdt0(X75,X76)
| ~ aElementOf0(X76,szNzAzT0)
| ~ aElementOf0(X75,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])])]) ).
fof(c_0_36,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( szszuzczcdt0(X1) != sz00
& aElementOf0(szszuzczcdt0(X1),szNzAzT0) ) ),
inference(fof_simplification,[status(thm)],[mSuccNum]) ).
fof(c_0_37,plain,
! [X10,X11,X12] :
( ( X12 = slcrc0
| aElementOf0(esk1_1(X12),X12)
| ~ aSet0(X12) )
& ( X10 != slcrc0
| ~ aElementOf0(X11,X10) )
& ( X10 != slcrc0
| aSet0(X10) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefEmp])])])])])])]) ).
fof(c_0_38,plain,
! [X111,X112] :
( ( ~ aElementOf0(X112,szNzAzT0)
| ~ aElementOf0(X111,szNzAzT0)
| aElementOf0(X111,slbdtrb0(szszuzczcdt0(X112)))
| X111 != X112 )
& ( ~ aElementOf0(X112,szNzAzT0)
| ~ aElementOf0(X111,szNzAzT0)
| aElementOf0(X111,slbdtrb0(szszuzczcdt0(X112)))
| ~ aElementOf0(X111,slbdtrb0(X112)) )
& ( ~ aElementOf0(X112,szNzAzT0)
| ~ aElementOf0(X111,szNzAzT0)
| X111 = X112
| aElementOf0(X111,slbdtrb0(X112))
| ~ aElementOf0(X111,slbdtrb0(szszuzczcdt0(X112))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])])]) ).
cnf(c_0_39,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| aElementOf0(X1,slbdtrb0(xm)) ),
inference(csr,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,plain,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1964]) ).
fof(c_0_42,plain,
! [X56] :
( ( ~ aElementOf0(X56,szNzAzT0)
| szszuzczcdt0(X56) != sz00 )
& ( ~ aElementOf0(X56,szNzAzT0)
| aElementOf0(szszuzczcdt0(X56),szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_43,plain,
! [X85,X86] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X85,X86))) = sbrdtbr0(X85)
| ~ aElementOf0(X86,X85)
| ~ isFinite0(X85)
| ~ aSet0(X85) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardDiff])])])]) ).
fof(c_0_44,plain,
! [X1,X2] :
( ( aElement0(X2)
& aSet0(X1) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( ! [X4] :
( aElementOf0(X4,X3)
<=> ( X4 != X2
& aElementOf0(X4,X1)
& aElement0(X4) ) )
& aSet0(X3) ) ) ),
inference(fof_simplification,[status(thm)],[mDefDiff]) ).
fof(c_0_45,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[mNoScLessZr]) ).
fof(c_0_46,plain,
! [X82] :
( ( ~ aSet0(X82)
| sbrdtbr0(X82) = sz00
| X82 != slcrc0 )
& ( ~ aSet0(X82)
| X82 = slcrc0
| sbrdtbr0(X82) != sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])])]) ).
cnf(c_0_47,plain,
( X1 != slcrc0
| aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,plain,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X1 != X2
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_49,plain,
! [X59] :
( ( ~ aElementOf0(X59,szNzAzT0)
| X59 = sz00
| X59 = szszuzczcdt0(esk5_1(X59)) )
& ( ~ aElementOf0(X59,szNzAzT0)
| X59 = sz00
| aElementOf0(esk5_1(X59),szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])])]) ).
cnf(c_0_50,negated_conjecture,
( ~ sdtlseqdt0(xm,xn)
| aElementOf0(esk10_0,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_51,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(xm))
| sdtlseqdt0(xm,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_52,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1964]) ).
cnf(c_0_53,negated_conjecture,
( ~ aElementOf0(esk10_0,slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_54,plain,
! [X27,X28,X29] :
( aSubsetOf0(X27,X29)
| ~ aSubsetOf0(X28,X29)
| ~ aSubsetOf0(X27,X28)
| ~ aSet0(X29)
| ~ aSet0(X28)
| ~ aSet0(X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])])]) ).
fof(c_0_55,plain,
! [X17,X18,X19,X20] :
( ( ~ aSet0(X17)
| aSubsetOf0(X20,X17)
| ~ aSet0(X20)
| ~ aElementOf0(esk2_2(X17,X20),X17) )
& ( ~ aSet0(X17)
| aSubsetOf0(X20,X17)
| ~ aSet0(X20)
| aElementOf0(esk2_2(X17,X20),X20) )
& ( ~ aSet0(X17)
| ~ aSubsetOf0(X18,X17)
| aElementOf0(X19,X17)
| ~ aElementOf0(X19,X18) )
& ( ~ aSet0(X17)
| ~ aSubsetOf0(X18,X17)
| aSet0(X18) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSub])])])])])])]) ).
cnf(c_0_56,plain,
( X2 != slcrc0
| ~ aElementOf0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_57,plain,
( ~ aElementOf0(X1,szNzAzT0)
| szszuzczcdt0(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_58,plain,
( ~ aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSet0(X1)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_59,plain,
! [X81] :
( ( ~ aSet0(X81)
| aElementOf0(sbrdtbr0(X81),szNzAzT0)
| ~ isFinite0(X81) )
& ( ~ aSet0(X81)
| isFinite0(X81)
| ~ aElementOf0(sbrdtbr0(X81),szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])])]) ).
fof(c_0_60,plain,
! [X37,X38,X39,X40,X41,X42] :
( ( ~ aElement0(X38)
| ~ aSet0(X37)
| X42 = sdtmndt0(X37,X38)
| ~ aSet0(X42)
| aElementOf0(esk4_3(X37,X38,X42),X42)
| esk4_3(X37,X38,X42) != X38 )
& ( ~ aElement0(X38)
| ~ aSet0(X37)
| X42 = sdtmndt0(X37,X38)
| ~ aSet0(X42)
| aElementOf0(esk4_3(X37,X38,X42),X42)
| aElementOf0(esk4_3(X37,X38,X42),X37) )
& ( ~ aElement0(X38)
| ~ aSet0(X37)
| X42 = sdtmndt0(X37,X38)
| ~ aSet0(X42)
| aElementOf0(esk4_3(X37,X38,X42),X42)
| aElement0(esk4_3(X37,X38,X42)) )
& ( ~ aElement0(X38)
| ~ aSet0(X37)
| X42 = sdtmndt0(X37,X38)
| ~ aSet0(X42)
| esk4_3(X37,X38,X42) = X38
| ~ aElementOf0(esk4_3(X37,X38,X42),X37)
| ~ aElement0(esk4_3(X37,X38,X42))
| ~ aElementOf0(esk4_3(X37,X38,X42),X42) )
& ( ~ aElement0(X38)
| ~ aSet0(X37)
| X39 != sdtmndt0(X37,X38)
| aElementOf0(X41,X39)
| X41 = X38
| ~ aElementOf0(X41,X37)
| ~ aElement0(X41) )
& ( ~ aElement0(X38)
| ~ aSet0(X37)
| X39 != sdtmndt0(X37,X38)
| ~ aElementOf0(X40,X39)
| X40 != X38 )
& ( ~ aElement0(X38)
| ~ aSet0(X37)
| X39 != sdtmndt0(X37,X38)
| ~ aElementOf0(X40,X39)
| aElementOf0(X40,X37) )
& ( ~ aElement0(X38)
| ~ aSet0(X37)
| X39 != sdtmndt0(X37,X38)
| ~ aElementOf0(X40,X39)
| aElement0(X40) )
& ( ~ aElement0(X38)
| ~ aSet0(X37)
| X39 != sdtmndt0(X37,X38)
| aSet0(X39) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])])])])]) ).
fof(c_0_61,plain,
! [X65] :
( ~ sdtlseqdt0(szszuzczcdt0(X65),sz00)
| ~ aElementOf0(X65,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
fof(c_0_62,plain,
! [X87,X88] :
( sdtlseqdt0(sbrdtbr0(X88),sbrdtbr0(X87))
| ~ aSubsetOf0(X88,X87)
| ~ isFinite0(X87)
| ~ aSet0(X87) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSub])])])]) ).
cnf(c_0_63,plain,
( ~ aSet0(X1)
| X1 != slcrc0
| sbrdtbr0(X1) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_64,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_47]) ).
cnf(c_0_65,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xn))
| sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(X1),xn) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_66,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(X1),xn) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_67,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_68,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 = sz00
| X1 = szszuzczcdt0(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_69,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 = sz00
| aElementOf0(esk5_1(X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_70,plain,
! [X104,X105,X106,X107,X108] :
( ( ~ aElementOf0(X104,szNzAzT0)
| X108 = slbdtrb0(X104)
| ~ aSet0(X108)
| aElementOf0(esk9_2(X104,X108),X108)
| sdtlseqdt0(szszuzczcdt0(esk9_2(X104,X108)),X104) )
& ( ~ aElementOf0(X104,szNzAzT0)
| X108 = slbdtrb0(X104)
| ~ aSet0(X108)
| aElementOf0(esk9_2(X104,X108),X108)
| aElementOf0(esk9_2(X104,X108),szNzAzT0) )
& ( ~ aElementOf0(X104,szNzAzT0)
| X108 = slbdtrb0(X104)
| ~ aSet0(X108)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X104,X108)),X104)
| ~ aElementOf0(esk9_2(X104,X108),szNzAzT0)
| ~ aElementOf0(esk9_2(X104,X108),X108) )
& ( ~ aElementOf0(X104,szNzAzT0)
| X105 != slbdtrb0(X104)
| aElementOf0(X107,X105)
| ~ sdtlseqdt0(szszuzczcdt0(X107),X104)
| ~ aElementOf0(X107,szNzAzT0) )
& ( ~ aElementOf0(X104,szNzAzT0)
| X105 != slbdtrb0(X104)
| ~ aElementOf0(X106,X105)
| sdtlseqdt0(szszuzczcdt0(X106),X104) )
& ( ~ aElementOf0(X104,szNzAzT0)
| X105 != slbdtrb0(X104)
| ~ aElementOf0(X106,X105)
| aElementOf0(X106,szNzAzT0) )
& ( ~ aElementOf0(X104,szNzAzT0)
| X105 != slbdtrb0(X104)
| aSet0(X105) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSeg])])])])])])]) ).
fof(c_0_71,plain,
! [X72,X73,X74] :
( sdtlseqdt0(X72,X74)
| ~ sdtlseqdt0(X73,X74)
| ~ sdtlseqdt0(X72,X73)
| ~ aElementOf0(X74,szNzAzT0)
| ~ aElementOf0(X73,szNzAzT0)
| ~ aElementOf0(X72,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])])]) ).
cnf(c_0_72,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xm))
| sdtlseqdt0(xm,xn)
| aElementOf0(X1,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_73,negated_conjecture,
( aElementOf0(esk10_0,slbdtrb0(xm))
| aElementOf0(xn,slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_74,negated_conjecture,
( ~ aElementOf0(esk10_0,slbdtrb0(xn))
| aElementOf0(xn,slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_51]),c_0_52])]) ).
cnf(c_0_75,plain,
( ~ aSubsetOf0(X2,X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aSubsetOf0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_76,plain,
( ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_77,plain,
~ aElementOf0(X1,slcrc0),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_78,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1)
| aElementOf0(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_79,plain,
( ~ aSet0(X1)
| ~ aElementOf0(X2,X1)
| ~ aElementOf0(sbrdtbr0(sdtmndt0(X1,X2)),szNzAzT0)
| ~ isFinite0(X1)
| sbrdtbr0(X1) != sz00 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_80,plain,
( ~ aSet0(X1)
| ~ isFinite0(X1)
| aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_81,plain,
! [X54,X55] :
( isFinite0(sdtmndt0(X55,X54))
| ~ isFinite0(X55)
| ~ aSet0(X55)
| ~ aElement0(X54) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])])]) ).
cnf(c_0_82,plain,
( ~ aElement0(X3)
| ~ aSet0(X2)
| X1 != sdtmndt0(X2,X3)
| aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_83,plain,
! [X7,X8] :
( aElement0(X8)
| ~ aElementOf0(X8,X7)
| ~ aSet0(X7) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).
fof(c_0_84,plain,
! [X30,X31,X32,X33,X34,X35] :
( ( ~ aElement0(X31)
| ~ aSet0(X30)
| X35 = sdtpldt0(X30,X31)
| ~ aSet0(X35)
| aElementOf0(esk3_3(X30,X31,X35),X35)
| esk3_3(X30,X31,X35) = X31
| aElementOf0(esk3_3(X30,X31,X35),X30) )
& ( ~ aElement0(X31)
| ~ aSet0(X30)
| X35 = sdtpldt0(X30,X31)
| ~ aSet0(X35)
| aElementOf0(esk3_3(X30,X31,X35),X35)
| aElement0(esk3_3(X30,X31,X35)) )
& ( ~ aElement0(X31)
| ~ aSet0(X30)
| X35 = sdtpldt0(X30,X31)
| ~ aSet0(X35)
| ~ aElementOf0(esk3_3(X30,X31,X35),X35)
| ~ aElement0(esk3_3(X30,X31,X35))
| esk3_3(X30,X31,X35) != X31 )
& ( ~ aElement0(X31)
| ~ aSet0(X30)
| X35 = sdtpldt0(X30,X31)
| ~ aSet0(X35)
| ~ aElementOf0(esk3_3(X30,X31,X35),X35)
| ~ aElement0(esk3_3(X30,X31,X35))
| ~ aElementOf0(esk3_3(X30,X31,X35),X30) )
& ( ~ aElement0(X31)
| ~ aSet0(X30)
| X32 != sdtpldt0(X30,X31)
| aElementOf0(X34,X32)
| ~ aElement0(X34)
| X34 != X31 )
& ( ~ aElement0(X31)
| ~ aSet0(X30)
| X32 != sdtpldt0(X30,X31)
| aElementOf0(X34,X32)
| ~ aElement0(X34)
| ~ aElementOf0(X34,X30) )
& ( ~ aElement0(X31)
| ~ aSet0(X30)
| X32 != sdtpldt0(X30,X31)
| ~ aElementOf0(X33,X32)
| X33 = X31
| aElementOf0(X33,X30) )
& ( ~ aElement0(X31)
| ~ aSet0(X30)
| X32 != sdtpldt0(X30,X31)
| ~ aElementOf0(X33,X32)
| aElement0(X33) )
& ( ~ aElement0(X31)
| ~ aSet0(X30)
| X32 != sdtpldt0(X30,X31)
| aSet0(X32) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefCons])])])])])])]) ).
cnf(c_0_85,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X1),sz00)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_86,plain,
( ~ aSubsetOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSet0(X1)
| sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_87,plain,
sbrdtbr0(slcrc0) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_63]),c_0_64])]) ).
cnf(c_0_88,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]) ).
fof(c_0_89,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
inference(fof_simplification,[status(thm)],[mNatNSucc]) ).
cnf(c_0_90,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X1),xn) ),
inference(csr,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_91,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(esk5_1(X1),slbdtrb0(X1))
| X1 = sz00 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_92,plain,
( ~ aElementOf0(X2,szNzAzT0)
| X3 != slbdtrb0(X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_93,plain,
( ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_94,negated_conjecture,
( aElementOf0(xn,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
fof(c_0_95,plain,
! [X25,X26] :
( X25 = X26
| ~ aSubsetOf0(X26,X25)
| ~ aSubsetOf0(X25,X26)
| ~ aSet0(X26)
| ~ aSet0(X25) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubASymm])])]) ).
cnf(c_0_96,plain,
( ~ aSet0(X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSubsetOf0(X3,X2)
| aSubsetOf0(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_75,c_0_76]),c_0_76]) ).
cnf(c_0_97,plain,
( ~ aSet0(X1)
| aSubsetOf0(slcrc0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_64])]) ).
fof(c_0_98,plain,
! [X89,X90] :
( ( ~ aElementOf0(X90,szNzAzT0)
| ~ aSet0(X89)
| ~ sdtlseqdt0(X90,sbrdtbr0(X89))
| ~ isFinite0(X89)
| sbrdtbr0(esk6_2(X89,X90)) = X90 )
& ( ~ aElementOf0(X90,szNzAzT0)
| ~ aSet0(X89)
| ~ sdtlseqdt0(X90,sbrdtbr0(X89))
| ~ isFinite0(X89)
| aSubsetOf0(esk6_2(X89,X90),X89) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSubEx])])])])]) ).
cnf(c_0_99,plain,
( ~ aSet0(X1)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ isFinite0(sdtmndt0(X1,X2))
| sbrdtbr0(X1) != sz00 ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_100,plain,
( ~ isFinite0(X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| isFinite0(sdtmndt0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_101,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtmndt0(X1,X2)) ),
inference(er,[status(thm)],[c_0_82]) ).
cnf(c_0_102,plain,
( ~ aElementOf0(X2,X1)
| ~ aSet0(X1)
| aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_103,plain,
( ~ aElement0(X2)
| ~ aSet0(X4)
| X3 != sdtpldt0(X4,X2)
| ~ aElement0(X1)
| X1 != X2
| aElementOf0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_104,plain,
( ~ aElement0(X3)
| ~ aSet0(X2)
| X1 != sdtpldt0(X2,X3)
| aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_105,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,sz00)
| X1 = sz00 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_68]),c_0_69]) ).
cnf(c_0_106,plain,
( ~ aSubsetOf0(X1,slcrc0)
| sdtlseqdt0(sbrdtbr0(X1),sz00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_64])]) ).
fof(c_0_107,plain,
! [X70,X71] :
( X70 = X71
| ~ sdtlseqdt0(X71,X70)
| ~ sdtlseqdt0(X70,X71)
| ~ aElementOf0(X71,szNzAzT0)
| ~ aElementOf0(X70,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])])]) ).
fof(c_0_108,plain,
! [X68] :
( sdtlseqdt0(X68,szszuzczcdt0(X68))
| ~ aElementOf0(X68,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])])]) ).
fof(c_0_109,plain,
! [X61] :
( X61 != szszuzczcdt0(X61)
| ~ aElementOf0(X61,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])]) ).
cnf(c_0_110,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(esk5_1(X1),slbdtrb0(xn))
| sdtlseqdt0(X1,xn)
| X1 = sz00 ),
inference(spm,[status(thm)],[c_0_90,c_0_68]) ).
cnf(c_0_111,negated_conjecture,
( aElementOf0(esk5_1(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn)
| sz00 = xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_91]),c_0_41])]) ).
cnf(c_0_112,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| aElementOf0(X1,slbdtrb0(X2)) ),
inference(er,[status(thm)],[c_0_92]) ).
cnf(c_0_113,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,xm)
| aElementOf0(xn,slbdtrb0(xm))
| sdtlseqdt0(X1,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_52]),c_0_41])]) ).
cnf(c_0_114,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(szszuzczcdt0(X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_115,plain,
( ~ aElementOf0(X2,szNzAzT0)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X1,X3)
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_116,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xm))
| sdtlseqdt0(xm,xn)
| aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_117,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn)
| aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_118,plain,
( ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_119,plain,
( ~ aSet0(X2)
| ~ aSubsetOf0(X1,slcrc0)
| aSubsetOf0(X1,X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_120,plain,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| ~ sdtlseqdt0(X2,sbrdtbr0(X1))
| ~ isFinite0(X1)
| aSubsetOf0(esk6_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_121,plain,
( ~ aSet0(X1)
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1)
| sbrdtbr0(X1) != sz00 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_102]) ).
cnf(c_0_122,plain,
( ~ aSet0(X2)
| ~ aElement0(X1)
| aElementOf0(X1,sdtpldt0(X2,X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_103])]) ).
cnf(c_0_123,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtpldt0(X1,X2)) ),
inference(er,[status(thm)],[c_0_104]) ).
cnf(c_0_124,plain,
( ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSubsetOf0(X1,slcrc0)
| sbrdtbr0(X1) = sz00 ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_125,plain,
( ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_126,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_127,plain,
( X1 != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_128,negated_conjecture,
( sdtlseqdt0(xm,xn)
| sz00 = xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_41])]) ).
cnf(c_0_129,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| aElementOf0(X1,slbdtrb0(xn))
| aElementOf0(xn,slbdtrb0(xm)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_52])]),c_0_114]) ).
cnf(c_0_130,plain,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(X2))
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(er,[status(thm)],[c_0_115]) ).
cnf(c_0_131,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xm))
| aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_132,plain,
( ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1)
| X1 = X2 ),
inference(csr,[status(thm)],[c_0_118,c_0_76]) ).
cnf(c_0_133,plain,
( ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,sz00)
| aSubsetOf0(esk6_2(slcrc0,X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_87]),c_0_88]),c_0_64])]) ).
cnf(c_0_134,negated_conjecture,
( aSet0(slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_135,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| ~ isFinite0(sdtpldt0(X1,X2))
| sbrdtbr0(sdtpldt0(X1,X2)) != sz00 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).
cnf(c_0_136,plain,
( ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,slcrc0)
| sbrdtbr0(X1) = sz00 ),
inference(spm,[status(thm)],[c_0_124,c_0_80]) ).
fof(c_0_137,plain,
! [X44,X45] :
( sdtpldt0(sdtmndt0(X44,X45),X45) = X44
| ~ aElementOf0(X45,X44)
| ~ aSet0(X44) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])])]) ).
cnf(c_0_138,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_114]),c_0_127]) ).
cnf(c_0_139,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,xm)
| sdtlseqdt0(X1,xn)
| sz00 = xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_128]),c_0_52]),c_0_41])]) ).
cnf(c_0_140,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xm))
| aElementOf0(X1,slbdtrb0(xn))
| aElementOf0(xn,slbdtrb0(xm)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_41])]),c_0_131]) ).
cnf(c_0_141,plain,
( ~ aSet0(X1)
| ~ aSubsetOf0(X1,slcrc0)
| X1 = slcrc0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_97]),c_0_64])]) ).
cnf(c_0_142,plain,
( ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,sz00)
| aSet0(esk6_2(slcrc0,X1)) ),
inference(spm,[status(thm)],[c_0_76,c_0_133]) ).
cnf(c_0_143,negated_conjecture,
aSet0(slbdtrb0(xn)),
inference(cn,[status(thm)],[c_0_134]) ).
cnf(c_0_144,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| ~ isFinite0(sdtpldt0(X1,X2))
| ~ aSubsetOf0(sdtpldt0(X1,X2),slcrc0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_123]) ).
cnf(c_0_145,plain,
( ~ aElementOf0(X2,X1)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_146,negated_conjecture,
( aSet0(slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_147,negated_conjecture,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| sz00 = xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_52])]) ).
cnf(c_0_148,negated_conjecture,
aElementOf0(xn,slbdtrb0(xm)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_73]),c_0_74]) ).
cnf(c_0_149,plain,
( ~ aSet0(esk6_2(slcrc0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,sz00)
| esk6_2(slcrc0,X1) = slcrc0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_120]),c_0_87]),c_0_88]),c_0_64])]) ).
cnf(c_0_150,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,sz00)
| aSet0(esk6_2(slcrc0,X1)) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_151,plain,
( ~ aSet0(X1)
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,slcrc0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_101]),c_0_102]) ).
cnf(c_0_152,negated_conjecture,
aSet0(slbdtrb0(xm)),
inference(cn,[status(thm)],[c_0_146]) ).
fof(c_0_153,plain,
! [X110] :
( isFinite0(slbdtrb0(X110))
| ~ aElementOf0(X110,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])])]) ).
cnf(c_0_154,negated_conjecture,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| sz00 = xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_130]),c_0_148]),c_0_41])]) ).
cnf(c_0_155,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,sz00)
| esk6_2(slcrc0,X1) = slcrc0 ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
fof(c_0_156,plain,
! [X64] :
( sdtlseqdt0(sz00,X64)
| ~ aElementOf0(X64,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])])]) ).
cnf(c_0_157,negated_conjecture,
( ~ isFinite0(slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_148]),c_0_152])]) ).
cnf(c_0_158,plain,
( ~ aElementOf0(X1,szNzAzT0)
| isFinite0(slbdtrb0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_159,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]) ).
cnf(c_0_160,negated_conjecture,
sz00 = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_114]),c_0_52])]) ).
cnf(c_0_161,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,sz00)
| aSubsetOf0(slcrc0,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_155]),c_0_87]),c_0_88]),c_0_64])]) ).
cnf(c_0_162,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_163,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]) ).
cnf(c_0_164,negated_conjecture,
~ aSubsetOf0(slbdtrb0(xm),slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_41])]) ).
cnf(c_0_165,plain,
slbdtrb0(xm) = slcrc0,
inference(rw,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_166,negated_conjecture,
aSubsetOf0(slcrc0,slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163])]) ).
cnf(c_0_167,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_165]),c_0_166])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM542+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 02:41:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.59 % Version: 3.5.1
% 0.43/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.43/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.43/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.43/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.43/0.59 % Starting sh5l with 300s (1) cores
% 0.43/0.59 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 379819 completed with status 0
% 0.43/0.59 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.43/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.43/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.43/0.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.43/0.59 % No SInE strategy applied
% 0.43/0.59 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.43/0.59 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.43/0.59 % Starting SubtermCWHack with 136s (1) cores
% 0.43/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.43/0.59 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.43/0.59 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.43/0.59 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.43/0.59 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 379828 completed with status 0
% 0.43/0.59 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.43/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.43/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.43/0.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.43/0.59 % No SInE strategy applied
% 0.43/0.59 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.43/0.59 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.43/0.59 % Starting SubtermCWHack with 136s (1) cores
% 0.43/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.43/0.59 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.43/0.59 % Preprocessing time : 0.004 s
% 0.43/0.59 % Presaturation interreduction done
% 0.43/0.59
% 0.43/0.59 % Proof found!
% 0.43/0.59 % SZS status Theorem
% 0.43/0.59 % SZS output start CNFRefutation
% See solution above
% 0.43/0.59 % Parsed axioms : 55
% 0.43/0.59 % Removed by relevancy pruning/SinE : 0
% 0.43/0.59 % Initial clauses : 229
% 0.43/0.59 % Removed in clause preprocessing : 8
% 0.43/0.59 % Initial clauses in saturation : 221
% 0.43/0.59 % Processed clauses : 865
% 0.43/0.59 % ...of these trivial : 43
% 0.43/0.59 % ...subsumed : 291
% 0.43/0.59 % ...remaining for further processing : 531
% 0.43/0.59 % Other redundant clauses eliminated : 29
% 0.43/0.59 % Clauses deleted for lack of memory : 0
% 0.43/0.59 % Backward-subsumed : 105
% 0.43/0.59 % Backward-rewritten : 154
% 0.43/0.59 % Generated clauses : 1361
% 0.43/0.59 % ...of the previous two non-redundant : 1260
% 0.43/0.59 % ...aggressively subsumed : 0
% 0.43/0.59 % Contextual simplify-reflections : 79
% 0.43/0.59 % Paramodulations : 1330
% 0.43/0.59 % Factorizations : 0
% 0.43/0.59 % NegExts : 0
% 0.43/0.59 % Equation resolutions : 30
% 0.43/0.59 % Disequality decompositions : 0
% 0.43/0.59 % Total rewrite steps : 944
% 0.43/0.59 % ...of those cached : 922
% 0.43/0.59 % Propositional unsat checks : 0
% 0.43/0.59 % Propositional check models : 0
% 0.43/0.59 % Propositional check unsatisfiable : 0
% 0.43/0.59 % Propositional clauses : 0
% 0.43/0.59 % Propositional clauses after purity: 0
% 0.43/0.59 % Propositional unsat core size : 0
% 0.43/0.59 % Propositional preprocessing time : 0.000
% 0.43/0.59 % Propositional encoding time : 0.000
% 0.43/0.59 % Propositional solver time : 0.000
% 0.43/0.59 % Success case prop preproc time : 0.000
% 0.43/0.59 % Success case prop encoding time : 0.000
% 0.43/0.59 % Success case prop solver time : 0.000
% 0.43/0.59 % Current number of processed clauses : 137
% 0.43/0.59 % Positive orientable unit clauses : 15
% 0.43/0.59 % Positive unorientable unit clauses: 0
% 0.43/0.59 % Negative unit clauses : 6
% 0.43/0.59 % Non-unit-clauses : 116
% 0.43/0.59 % Current number of unprocessed clauses: 623
% 0.43/0.59 % ...number of literals in the above : 3628
% 0.43/0.59 % Current number of archived formulas : 0
% 0.43/0.59 % Current number of archived clauses : 371
% 0.43/0.59 % Clause-clause subsumption calls (NU) : 18231
% 0.43/0.59 % Rec. Clause-clause subsumption calls : 6145
% 0.43/0.59 % Non-unit clause-clause subsumptions : 355
% 0.43/0.59 % Unit Clause-clause subsumption calls : 372
% 0.43/0.59 % Rewrite failures with RHS unbound : 0
% 0.43/0.59 % BW rewrite match attempts : 9
% 0.43/0.59 % BW rewrite match successes : 9
% 0.43/0.59 % Condensation attempts : 0
% 0.43/0.59 % Condensation successes : 0
% 0.43/0.59 % Termbank termtop insertions : 38241
% 0.43/0.59 % Search garbage collected termcells : 2484
% 0.43/0.59
% 0.43/0.59 % -------------------------------------------------
% 0.43/0.59 % User time : 0.118 s
% 0.43/0.59 % System time : 0.009 s
% 0.43/0.59 % Total time : 0.127 s
% 0.43/0.59 % Maximum resident set size: 4212 pages
% 0.43/0.59
% 0.43/0.59 % -------------------------------------------------
% 0.43/0.59 % User time : 0.573 s
% 0.43/0.59 % System time : 0.034 s
% 0.43/0.59 % Total time : 0.607 s
% 0.43/0.59 % Maximum resident set size: 4608 pages
% 0.43/0.59 % E exiting
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