%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUM542+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:55:26 PM UTC 2026
% Result : Theorem 0.14s 0.53s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 78 ( 9 unt; 0 def)
% Number of atoms : 776 ( 49 equ)
% Maximal formula atoms : 460 ( 9 avg)
% Number of connectives : 1061 ( 363 ~; 480 |; 181 &)
% ( 12 <=>; 25 =>; 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 : 105 ( 2 sgn 57 !; 2 ?)
% 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/sandbox/benchmark/theBenchmark.p',m__) ).
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/sandbox/benchmark/theBenchmark.p',mSegSucc) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ? [X2] :
( X1 = szszuzczcdt0(X2)
& aElementOf0(X2,szNzAzT0) )
| X1 = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X2),X1)
| sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(m__1964,hypothesis,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1964) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( szszuzczcdt0(X1) != sz00
& aElementOf0(szszuzczcdt0(X1),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X2,X1)
& sdtlseqdt0(X1,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
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/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
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/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( ~ ? [X2] : aElementOf0(X2,X1)
& aSet0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
fof(c_0_13,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_14,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])])])]) ).
fof(c_0_15,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_13])])])])])]) ).
cnf(c_0_16,plain,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X1 != X2
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_17,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_18,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(xm,xn)
| aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(xm,xn)
| aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,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])])]) ).
cnf(c_0_21,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xn))
| sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(X1),xn) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(X1),xn) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 = sz00
| X1 = szszuzczcdt0(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 = sz00
| aElementOf0(esk5_1(X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| aElementOf0(X1,slbdtrb0(xm)) ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,plain,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1964]) ).
fof(c_0_29,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( szszuzczcdt0(X1) != sz00
& aElementOf0(szszuzczcdt0(X1),szNzAzT0) ) ),
inference(fof_simplification,[status(thm)],[mSuccNum]) ).
fof(c_0_30,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
inference(fof_simplification,[status(thm)],[mNatNSucc]) ).
cnf(c_0_31,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X1),xn) ),
inference(csr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_32,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xm))
| sdtlseqdt0(xm,xn)
| aElementOf0(X1,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_33,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(esk5_1(X1),slbdtrb0(X1))
| X1 = sz00 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_34,negated_conjecture,
( ~ sdtlseqdt0(xm,xn)
| aElementOf0(esk10_0,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_35,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_26,c_0_27]),c_0_28])]) ).
cnf(c_0_36,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1964]) ).
cnf(c_0_37,negated_conjecture,
( ~ aElementOf0(esk10_0,slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_38,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_39,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_40,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_29])])])]) ).
fof(c_0_41,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_30])])]) ).
fof(c_0_42,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_43,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(esk5_1(X1),slbdtrb0(xn))
| sdtlseqdt0(X1,xn)
| X1 = sz00 ),
inference(spm,[status(thm)],[c_0_31,c_0_24]) ).
cnf(c_0_44,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_32,c_0_33]),c_0_28])]) ).
fof(c_0_45,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])])])])])])]) ).
cnf(c_0_46,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_34,c_0_35]),c_0_36])]) ).
cnf(c_0_47,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_37,c_0_35]),c_0_36])]) ).
cnf(c_0_48,plain,
( ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(szszuzczcdt0(X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_51,plain,
( X1 != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,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_42]) ).
cnf(c_0_53,negated_conjecture,
( sdtlseqdt0(xm,xn)
| sz00 = xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_28])]) ).
cnf(c_0_54,plain,
( ~ aElementOf0(X2,szNzAzT0)
| X3 != slbdtrb0(X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,negated_conjecture,
( aElementOf0(xn,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_46]),c_0_47]) ).
cnf(c_0_56,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_51]) ).
cnf(c_0_57,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_52,c_0_53]),c_0_36]),c_0_28])]) ).
cnf(c_0_58,plain,
( ~ aElementOf0(X2,szNzAzT0)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X1,X3)
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_59,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| aElementOf0(X1,slbdtrb0(X2)) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_60,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_52,c_0_55]),c_0_36]),c_0_28])]) ).
cnf(c_0_61,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xm))
| sdtlseqdt0(xm,xn)
| aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_62,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn)
| aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_63,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_56,c_0_57]),c_0_36])]) ).
cnf(c_0_64,plain,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(X2))
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(er,[status(thm)],[c_0_58]) ).
cnf(c_0_65,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_59,c_0_60]),c_0_36])]),c_0_50]) ).
cnf(c_0_66,negated_conjecture,
( ~ aElementOf0(X1,slbdtrb0(xm))
| aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,negated_conjecture,
( ~ aElementOf0(xn,slbdtrb0(xm))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| sz00 = xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_28])]) ).
cnf(c_0_68,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_65,c_0_64]),c_0_28])]),c_0_66]) ).
cnf(c_0_69,negated_conjecture,
( ~ aElementOf0(xn,slbdtrb0(xm))
| sz00 = xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_50]),c_0_36])]) ).
cnf(c_0_70,negated_conjecture,
aElementOf0(xn,slbdtrb0(xm)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_46]),c_0_47]) ).
fof(c_0_71,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])])])])])])]) ).
cnf(c_0_72,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]) ).
cnf(c_0_73,negated_conjecture,
sz00 = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]) ).
cnf(c_0_74,plain,
( X2 != slcrc0
| ~ aElementOf0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_75,plain,
slbdtrb0(xm) = slcrc0,
inference(rw,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,plain,
~ aElementOf0(X1,slcrc0),
inference(er,[status(thm)],[c_0_74]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_75]),c_0_76]),
[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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:40:31 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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/benchmark/theBenchmark.p
% 0.14/0.53 % Version: 3.5.1
% 0.14/0.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.53 % Starting sh5l with 300s (1) cores
% 0.14/0.53 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3228724 completed with status 0
% 0.14/0.53 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.14/0.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.53 % No SInE strategy applied
% 0.14/0.53 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.14/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/0.53 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.53 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.14/0.53 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.14/0.53 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 3228733 completed with status 0
% 0.14/0.53 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.14/0.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.53 % No SInE strategy applied
% 0.14/0.53 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.14/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/0.53 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.53 % Preprocessing time : 0.005 s
% 0.14/0.53 % Presaturation interreduction done
% 0.14/0.53
% 0.14/0.53 % Proof found!
% 0.14/0.53 % SZS status Theorem
% 0.14/0.53 % SZS output start CNFRefutation
% See solution above
% 0.96/0.53 % Parsed axioms : 55
% 0.96/0.53 % Removed by relevancy pruning/SinE : 0
% 0.96/0.53 % Initial clauses : 229
% 0.96/0.53 % Removed in clause preprocessing : 8
% 0.96/0.53 % Initial clauses in saturation : 221
% 0.96/0.53 % Processed clauses : 936
% 0.96/0.53 % ...of these trivial : 41
% 0.96/0.53 % ...subsumed : 347
% 0.96/0.53 % ...remaining for further processing : 548
% 0.96/0.53 % Other redundant clauses eliminated : 29
% 0.96/0.53 % Clauses deleted for lack of memory : 0
% 0.96/0.53 % Backward-subsumed : 72
% 0.96/0.53 % Backward-rewritten : 170
% 0.96/0.53 % Generated clauses : 1533
% 0.96/0.53 % ...of the previous two non-redundant : 1426
% 0.96/0.53 % ...aggressively subsumed : 0
% 0.96/0.53 % Contextual simplify-reflections : 98
% 0.96/0.54 % Paramodulations : 1503
% 0.96/0.54 % Factorizations : 0
% 0.96/0.54 % NegExts : 0
% 0.96/0.54 % Equation resolutions : 30
% 0.96/0.54 % Disequality decompositions : 0
% 0.96/0.54 % Total rewrite steps : 966
% 0.96/0.54 % ...of those cached : 946
% 0.96/0.54 % Propositional unsat checks : 0
% 0.96/0.54 % Propositional check models : 0
% 0.96/0.54 % Propositional check unsatisfiable : 0
% 0.96/0.54 % Propositional clauses : 0
% 0.96/0.54 % Propositional clauses after purity: 0
% 0.96/0.54 % Propositional unsat core size : 0
% 0.96/0.54 % Propositional preprocessing time : 0.000
% 0.96/0.54 % Propositional encoding time : 0.000
% 0.96/0.54 % Propositional solver time : 0.000
% 0.96/0.54 % Success case prop preproc time : 0.000
% 0.96/0.54 % Success case prop encoding time : 0.000
% 0.96/0.54 % Success case prop solver time : 0.000
% 0.96/0.54 % Current number of processed clauses : 172
% 0.96/0.54 % Positive orientable unit clauses : 14
% 0.96/0.54 % Positive unorientable unit clauses: 0
% 0.96/0.54 % Negative unit clauses : 5
% 0.96/0.54 % Non-unit-clauses : 153
% 0.96/0.54 % Current number of unprocessed clauses: 719
% 0.96/0.54 % ...number of literals in the above : 4216
% 0.96/0.54 % Current number of archived formulas : 0
% 0.96/0.54 % Current number of archived clauses : 353
% 0.96/0.54 % Clause-clause subsumption calls (NU) : 20039
% 0.96/0.54 % Rec. Clause-clause subsumption calls : 6898
% 0.96/0.54 % Non-unit clause-clause subsumptions : 416
% 0.96/0.54 % Unit Clause-clause subsumption calls : 340
% 0.96/0.54 % Rewrite failures with RHS unbound : 0
% 0.96/0.54 % BW rewrite match attempts : 7
% 0.96/0.54 % BW rewrite match successes : 7
% 0.96/0.54 % Condensation attempts : 0
% 0.96/0.54 % Condensation successes : 0
% 0.96/0.54 % Termbank termtop insertions : 41747
% 0.96/0.54 % Search garbage collected termcells : 2484
% 0.96/0.54
% 0.96/0.54 % -------------------------------------------------
% 0.96/0.54 % User time : 0.098 s
% 0.96/0.54 % System time : 0.006 s
% 0.96/0.54 % Total time : 0.104 s
% 0.96/0.54 % Maximum resident set size: 4212 pages
% 0.96/0.54
% 0.96/0.54 % -------------------------------------------------
% 0.96/0.54 % User time : 0.457 s
% 0.96/0.54 % System time : 0.034 s
% 0.96/0.54 % Total time : 0.491 s
% 0.96/0.54 % Maximum resident set size: 4608 pages
% 0.96/0.54 % E exiting
%------------------------------------------------------------------------------