TSTP Solution File: NUM542+2 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM542+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:56:16 EDT 2023
% Result : Theorem 0.68s 0.60s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 76 ( 9 unt; 0 def)
% Number of atoms : 771 ( 47 equ)
% Maximal formula atoms : 460 ( 10 avg)
% Number of connectives : 1056 ( 361 ~; 480 |; 180 &)
% ( 12 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 103 ( 2 sgn; 55 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( sdtlseqdt0(xm,xn)
=> ( ( aSet0(slbdtrb0(xm))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xm) ) ) )
=> ( ( aSet0(slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xn) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) )
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ) ) ) )
& ( ( aSet0(slbdtrb0(xm))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xm) ) )
& aSet0(slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xn) ) )
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) )
& aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
=> sdtlseqdt0(xm,xn) ) ),
file('/export/starexec/sandbox/tmp/tmp.giTFj3J0NJ/E---3.1_10279.p',m__) ).
fof(mSegSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
<=> ( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.giTFj3J0NJ/E---3.1_10279.p',mSegSucc) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.giTFj3J0NJ/E---3.1_10279.p',mNatExtra) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.giTFj3J0NJ/E---3.1_10279.p',mLessTotal) ).
fof(m__1964,hypothesis,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.giTFj3J0NJ/E---3.1_10279.p',m__1964) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.giTFj3J0NJ/E---3.1_10279.p',mLessASymm) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.giTFj3J0NJ/E---3.1_10279.p',mLessSucc) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/tmp/tmp.giTFj3J0NJ/E---3.1_10279.p',mSuccNum) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox/tmp/tmp.giTFj3J0NJ/E---3.1_10279.p',mNatNSucc) ).
fof(mLessTrans,axiom,
! [X1,X2,X3] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.giTFj3J0NJ/E---3.1_10279.p',mLessTrans) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.giTFj3J0NJ/E---3.1_10279.p',mDefSeg) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.giTFj3J0NJ/E---3.1_10279.p',mDefEmp) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/tmp/tmp.giTFj3J0NJ/E---3.1_10279.p',mSegZero) ).
fof(c_0_13,negated_conjecture,
~ ( ( sdtlseqdt0(xm,xn)
=> ( ( aSet0(slbdtrb0(xm))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xm) ) ) )
=> ( ( aSet0(slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xn) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) )
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ) ) ) )
& ( ( aSet0(slbdtrb0(xm))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xm) ) )
& aSet0(slbdtrb0(xn))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),xn) ) )
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xm))
=> aElementOf0(X1,slbdtrb0(xn)) )
& aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
=> sdtlseqdt0(xm,xn) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_14,plain,
! [X103,X104] :
( ( ~ aElementOf0(X103,slbdtrb0(szszuzczcdt0(X104)))
| aElementOf0(X103,slbdtrb0(X104))
| X103 = X104
| ~ aElementOf0(X103,szNzAzT0)
| ~ aElementOf0(X104,szNzAzT0) )
& ( ~ aElementOf0(X103,slbdtrb0(X104))
| aElementOf0(X103,slbdtrb0(szszuzczcdt0(X104)))
| ~ aElementOf0(X103,szNzAzT0)
| ~ aElementOf0(X104,szNzAzT0) )
& ( X103 != X104
| aElementOf0(X103,slbdtrb0(szszuzczcdt0(X104)))
| ~ aElementOf0(X103,szNzAzT0)
| ~ aElementOf0(X104,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])]) ).
fof(c_0_15,negated_conjecture,
! [X105,X106,X108,X109,X110] :
( ( aSet0(slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( aSet0(slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(xm,xn) )
& ( aSet0(slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| aSet0(slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| aElementOf0(X105,szNzAzT0)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(X105),xm)
| ~ aElementOf0(X105,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X105,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X105),xm)
| aElementOf0(X105,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| aSet0(slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(X106),xn)
| ~ aElementOf0(X106,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X106,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X106),xn)
| aElementOf0(X106,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X108),xm)
| ~ aElementOf0(X108,slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X108,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X108),xm)
| aElementOf0(X108,slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aElementOf0(X109,szNzAzT0)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X109),xn)
| ~ aElementOf0(X109,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X109,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X109),xn)
| aElementOf0(X109,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X110,slbdtrb0(xm))
| aElementOf0(X110,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).
cnf(c_0_16,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| X1 != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_17,plain,
! [X55] :
( ( aElementOf0(esk5_1(X55),szNzAzT0)
| X55 = sz00
| ~ aElementOf0(X55,szNzAzT0) )
& ( X55 = szszuzczcdt0(esk5_1(X55))
| X55 = sz00
| ~ aElementOf0(X55,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).
cnf(c_0_18,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xm))
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,plain,
! [X69,X70] :
( ~ aElementOf0(X69,szNzAzT0)
| ~ aElementOf0(X70,szNzAzT0)
| sdtlseqdt0(X69,X70)
| sdtlseqdt0(szszuzczcdt0(X70),X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
cnf(c_0_21,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),xn)
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( X1 = szszuzczcdt0(esk5_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( aElementOf0(esk5_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1964]) ).
cnf(c_0_29,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(csr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xn))
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_31,plain,
( X1 = sz00
| aElementOf0(esk5_1(X1),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_32,negated_conjecture,
( aElementOf0(esk10_0,slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_33,negated_conjecture,
( sdtlseqdt0(xm,X1)
| aElementOf0(X1,slbdtrb0(xm))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_34,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1964]) ).
cnf(c_0_35,negated_conjecture,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_36,plain,
! [X64,X65] :
( ~ aElementOf0(X64,szNzAzT0)
| ~ aElementOf0(X65,szNzAzT0)
| ~ sdtlseqdt0(X64,X65)
| ~ sdtlseqdt0(X65,X64)
| X64 = X65 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(c_0_37,plain,
! [X62] :
( ~ aElementOf0(X62,szNzAzT0)
| sdtlseqdt0(X62,szszuzczcdt0(X62)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(c_0_38,plain,
! [X52] :
( ( aElementOf0(szszuzczcdt0(X52),szNzAzT0)
| ~ aElementOf0(X52,szNzAzT0) )
& ( szszuzczcdt0(X52) != sz00
| ~ aElementOf0(X52,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(c_0_39,plain,
! [X57] :
( ~ aElementOf0(X57,szNzAzT0)
| X57 != szszuzczcdt0(X57) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
fof(c_0_40,plain,
! [X66,X67,X68] :
( ~ aElementOf0(X66,szNzAzT0)
| ~ aElementOf0(X67,szNzAzT0)
| ~ aElementOf0(X68,szNzAzT0)
| ~ sdtlseqdt0(X66,X67)
| ~ sdtlseqdt0(X67,X68)
| sdtlseqdt0(X66,X68) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
cnf(c_0_41,negated_conjecture,
( X1 = sz00
| sdtlseqdt0(X1,xn)
| ~ aElementOf0(esk5_1(X1),slbdtrb0(xn))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_29,c_0_24]) ).
cnf(c_0_42,negated_conjecture,
( sz00 = xm
| sdtlseqdt0(xm,xn)
| aElementOf0(esk5_1(xm),slbdtrb0(xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_28])]) ).
fof(c_0_43,plain,
! [X96,X97,X98,X99,X100] :
( ( aSet0(X97)
| X97 != slbdtrb0(X96)
| ~ aElementOf0(X96,szNzAzT0) )
& ( aElementOf0(X98,szNzAzT0)
| ~ aElementOf0(X98,X97)
| X97 != slbdtrb0(X96)
| ~ aElementOf0(X96,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X98),X96)
| ~ aElementOf0(X98,X97)
| X97 != slbdtrb0(X96)
| ~ aElementOf0(X96,szNzAzT0) )
& ( ~ aElementOf0(X99,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X99),X96)
| aElementOf0(X99,X97)
| X97 != slbdtrb0(X96)
| ~ aElementOf0(X96,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X96,X100),X100)
| ~ aElementOf0(esk9_2(X96,X100),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X96,X100)),X96)
| ~ aSet0(X100)
| X100 = slbdtrb0(X96)
| ~ aElementOf0(X96,szNzAzT0) )
& ( aElementOf0(esk9_2(X96,X100),szNzAzT0)
| aElementOf0(esk9_2(X96,X100),X100)
| ~ aSet0(X100)
| X100 = slbdtrb0(X96)
| ~ aElementOf0(X96,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X96,X100)),X96)
| aElementOf0(esk9_2(X96,X100),X100)
| ~ aSet0(X100)
| X100 = slbdtrb0(X96)
| ~ aElementOf0(X96,szNzAzT0) ) ),
inference(distribute,[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])])])])])]) ).
cnf(c_0_44,negated_conjecture,
( aElementOf0(xn,slbdtrb0(xm))
| aElementOf0(esk10_0,slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_45,negated_conjecture,
( aElementOf0(xn,slbdtrb0(xm))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_34])]) ).
cnf(c_0_46,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_47,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,plain,
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_51,negated_conjecture,
( sz00 = xm
| sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_28])]) ).
cnf(c_0_52,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
( sdtlseqdt0(xm,xn)
| aElementOf0(xn,slbdtrb0(xm)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_44]),c_0_45]) ).
cnf(c_0_54,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X1),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( sz00 = xm
| sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_34]),c_0_28])]) ).
cnf(c_0_56,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_57,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_52]) ).
cnf(c_0_58,negated_conjecture,
( sdtlseqdt0(X1,xn)
| aElementOf0(xn,slbdtrb0(xm))
| ~ sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_53]),c_0_34]),c_0_28])]) ).
cnf(c_0_59,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_60,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_61,negated_conjecture,
( sz00 = xm
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_34])]) ).
cnf(c_0_62,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_63,negated_conjecture,
( aElementOf0(xn,slbdtrb0(xm))
| aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_34])]),c_0_48]) ).
cnf(c_0_64,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(csr,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( sz00 = xm
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xn,slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_28])]) ).
cnf(c_0_66,negated_conjecture,
( aElementOf0(xn,slbdtrb0(xm))
| aElementOf0(X1,slbdtrb0(xn))
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_62]),c_0_28])]),c_0_64]) ).
cnf(c_0_67,negated_conjecture,
( sz00 = xm
| ~ aElementOf0(xn,slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_48]),c_0_34])]) ).
cnf(c_0_68,negated_conjecture,
aElementOf0(xn,slbdtrb0(xm)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_44]),c_0_45]) ).
fof(c_0_69,plain,
! [X7,X8,X9] :
( ( aSet0(X7)
| X7 != slcrc0 )
& ( ~ aElementOf0(X8,X7)
| X7 != slcrc0 )
& ( ~ aSet0(X9)
| aElementOf0(esk1_1(X9),X9)
| X9 = slcrc0 ) ),
inference(distribute,[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])])])])])]) ).
cnf(c_0_70,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]) ).
cnf(c_0_71,negated_conjecture,
sz00 = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]) ).
cnf(c_0_72,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_73,plain,
slbdtrb0(xm) = slcrc0,
inference(rw,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,plain,
~ aElementOf0(X1,slcrc0),
inference(er,[status(thm)],[c_0_72]) ).
cnf(c_0_75,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_73]),c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : NUM542+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : run_E %s %d THM
% 0.13/0.36 % Computer : n016.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 2400
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Oct 2 15:14:21 EDT 2023
% 0.13/0.37 % CPUTime :
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.giTFj3J0NJ/E---3.1_10279.p
% 0.68/0.60 # Version: 3.1pre001
% 0.68/0.60 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.68/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.60 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.68/0.60 # Starting new_bool_3 with 300s (1) cores
% 0.68/0.60 # Starting new_bool_1 with 300s (1) cores
% 0.68/0.60 # Starting sh5l with 300s (1) cores
% 0.68/0.60 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 10357 completed with status 0
% 0.68/0.60 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.68/0.60 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.68/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.60 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.68/0.60 # No SInE strategy applied
% 0.68/0.60 # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.68/0.60 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.68/0.60 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.68/0.60 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.68/0.60 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.68/0.60 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.68/0.60 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 0.68/0.60 # SAT001_MinMin_p005000_rr_RG with pid 10366 completed with status 0
% 0.68/0.60 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.68/0.60 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.68/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.60 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.68/0.60 # No SInE strategy applied
% 0.68/0.60 # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.68/0.60 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.68/0.60 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.68/0.60 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.68/0.60 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.68/0.60 # Preprocessing time : 0.003 s
% 0.68/0.60 # Presaturation interreduction done
% 0.68/0.60
% 0.68/0.60 # Proof found!
% 0.68/0.60 # SZS status Theorem
% 0.68/0.60 # SZS output start CNFRefutation
% See solution above
% 0.68/0.60 # Parsed axioms : 55
% 0.68/0.60 # Removed by relevancy pruning/SinE : 0
% 0.68/0.60 # Initial clauses : 229
% 0.68/0.60 # Removed in clause preprocessing : 8
% 0.68/0.60 # Initial clauses in saturation : 221
% 0.68/0.60 # Processed clauses : 936
% 0.68/0.60 # ...of these trivial : 41
% 0.68/0.60 # ...subsumed : 347
% 0.68/0.60 # ...remaining for further processing : 548
% 0.68/0.60 # Other redundant clauses eliminated : 29
% 0.68/0.60 # Clauses deleted for lack of memory : 0
% 0.68/0.60 # Backward-subsumed : 72
% 0.68/0.60 # Backward-rewritten : 170
% 0.68/0.60 # Generated clauses : 1533
% 0.68/0.60 # ...of the previous two non-redundant : 1426
% 0.68/0.60 # ...aggressively subsumed : 0
% 0.68/0.60 # Contextual simplify-reflections : 98
% 0.68/0.60 # Paramodulations : 1503
% 0.68/0.60 # Factorizations : 0
% 0.68/0.60 # NegExts : 0
% 0.68/0.60 # Equation resolutions : 30
% 0.68/0.60 # Total rewrite steps : 966
% 0.68/0.60 # Propositional unsat checks : 0
% 0.68/0.60 # Propositional check models : 0
% 0.68/0.60 # Propositional check unsatisfiable : 0
% 0.68/0.60 # Propositional clauses : 0
% 0.68/0.60 # Propositional clauses after purity: 0
% 0.68/0.60 # Propositional unsat core size : 0
% 0.68/0.60 # Propositional preprocessing time : 0.000
% 0.68/0.60 # Propositional encoding time : 0.000
% 0.68/0.60 # Propositional solver time : 0.000
% 0.68/0.60 # Success case prop preproc time : 0.000
% 0.68/0.60 # Success case prop encoding time : 0.000
% 0.68/0.60 # Success case prop solver time : 0.000
% 0.68/0.60 # Current number of processed clauses : 172
% 0.68/0.60 # Positive orientable unit clauses : 14
% 0.68/0.60 # Positive unorientable unit clauses: 0
% 0.68/0.60 # Negative unit clauses : 5
% 0.68/0.60 # Non-unit-clauses : 153
% 0.68/0.60 # Current number of unprocessed clauses: 719
% 0.68/0.60 # ...number of literals in the above : 4216
% 0.68/0.60 # Current number of archived formulas : 0
% 0.68/0.60 # Current number of archived clauses : 353
% 0.68/0.60 # Clause-clause subsumption calls (NU) : 22506
% 0.68/0.60 # Rec. Clause-clause subsumption calls : 8019
% 0.68/0.60 # Non-unit clause-clause subsumptions : 416
% 0.68/0.60 # Unit Clause-clause subsumption calls : 481
% 0.68/0.60 # Rewrite failures with RHS unbound : 0
% 0.68/0.60 # BW rewrite match attempts : 7
% 0.68/0.60 # BW rewrite match successes : 7
% 0.68/0.60 # Condensation attempts : 0
% 0.68/0.60 # Condensation successes : 0
% 0.68/0.60 # Termbank termtop insertions : 39775
% 0.68/0.60
% 0.68/0.60 # -------------------------------------------------
% 0.68/0.60 # User time : 0.077 s
% 0.68/0.60 # System time : 0.004 s
% 0.68/0.60 # Total time : 0.081 s
% 0.68/0.60 # Maximum resident set size: 2288 pages
% 0.68/0.60
% 0.68/0.60 # -------------------------------------------------
% 0.68/0.60 # User time : 0.335 s
% 0.68/0.60 # System time : 0.027 s
% 0.68/0.60 # Total time : 0.362 s
% 0.68/0.60 # Maximum resident set size: 1740 pages
% 0.68/0.60 % E---3.1 exiting
% 0.68/0.60 % E---3.1 exiting
%------------------------------------------------------------------------------