%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM542+2 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:57:45 PM UTC 2026
% Result : Theorem 1.42s 1.75s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 63 ( 9 unt; 0 def)
% Number of atoms : 709 ( 19 equ)
% Maximal formula atoms : 460 ( 11 avg)
% Number of connectives : 989 ( 343 ~; 443 |; 172 &)
% ( 10 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 45 !; 0 ?)
% 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/benchmark/theBenchmark.p',m__) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
fof(m__1964,hypothesis,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1964) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',mDefSeg) ).
fof(c_0_9,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_10,negated_conjecture,
! [X202,X203,X205,X206,X207] :
( ( aSet0(slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X205,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( sdtlseqdt0(szszuzczcdt0(X205),xm)
| ~ aElementOf0(X205,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X205,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X205),xm)
| aElementOf0(X205,slbdtrb0(xm))
| sdtlseqdt0(xm,xn) )
& ( aSet0(slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( aElementOf0(X206,szNzAzT0)
| ~ aElementOf0(X206,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( sdtlseqdt0(szszuzczcdt0(X206),xn)
| ~ aElementOf0(X206,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X206,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X206),xn)
| aElementOf0(X206,slbdtrb0(xn))
| sdtlseqdt0(xm,xn) )
& ( ~ aElementOf0(X207,slbdtrb0(xm))
| aElementOf0(X207,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(X205,szNzAzT0)
| ~ aElementOf0(X205,slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X205),xm)
| ~ aElementOf0(X205,slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X205,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X205),xm)
| aElementOf0(X205,slbdtrb0(xm))
| aSet0(slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( aElementOf0(X206,szNzAzT0)
| ~ aElementOf0(X206,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X206),xn)
| ~ aElementOf0(X206,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X206,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X206),xn)
| aElementOf0(X206,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( ~ aElementOf0(X207,slbdtrb0(xm))
| aElementOf0(X207,slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aSet0(slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| aSet0(slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(X202,szNzAzT0)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X205,slbdtrb0(xm))
| aElementOf0(X202,szNzAzT0)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X205),xm)
| ~ aElementOf0(X205,slbdtrb0(xm))
| aElementOf0(X202,szNzAzT0)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( ~ aElementOf0(X205,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X205),xm)
| aElementOf0(X205,slbdtrb0(xm))
| aElementOf0(X202,szNzAzT0)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(X202,szNzAzT0)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( aElementOf0(X206,szNzAzT0)
| ~ aElementOf0(X206,slbdtrb0(xn))
| aElementOf0(X202,szNzAzT0)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X206),xn)
| ~ aElementOf0(X206,slbdtrb0(xn))
| aElementOf0(X202,szNzAzT0)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( ~ aElementOf0(X206,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X206),xn)
| aElementOf0(X206,slbdtrb0(xn))
| aElementOf0(X202,szNzAzT0)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( ~ aElementOf0(X207,slbdtrb0(xm))
| aElementOf0(X207,slbdtrb0(xn))
| aElementOf0(X202,szNzAzT0)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aElementOf0(X202,szNzAzT0)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| aElementOf0(X202,szNzAzT0)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X202),xm)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X205,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X202),xm)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X205),xm)
| ~ aElementOf0(X205,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X202),xm)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( ~ aElementOf0(X205,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X205),xm)
| aElementOf0(X205,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X202),xm)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X202),xm)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( aElementOf0(X206,szNzAzT0)
| ~ aElementOf0(X206,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X202),xm)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X206),xn)
| ~ aElementOf0(X206,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X202),xm)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( ~ aElementOf0(X206,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X206),xn)
| aElementOf0(X206,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X202),xm)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( ~ aElementOf0(X207,slbdtrb0(xm))
| aElementOf0(X207,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X202),xm)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X202),xm)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(X202),xm)
| ~ aElementOf0(X202,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(X202,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X202),xm)
| aElementOf0(X202,slbdtrb0(xm)) )
& ( aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X205,slbdtrb0(xm))
| ~ aElementOf0(X202,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X202),xm)
| aElementOf0(X202,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X205),xm)
| ~ aElementOf0(X205,slbdtrb0(xm))
| ~ aElementOf0(X202,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X202),xm)
| aElementOf0(X202,slbdtrb0(xm)) )
& ( ~ aElementOf0(X205,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X205),xm)
| aElementOf0(X205,slbdtrb0(xm))
| ~ aElementOf0(X202,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X202),xm)
| aElementOf0(X202,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(X202,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X202),xm)
| aElementOf0(X202,slbdtrb0(xm)) )
& ( aElementOf0(X206,szNzAzT0)
| ~ aElementOf0(X206,slbdtrb0(xn))
| ~ aElementOf0(X202,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X202),xm)
| aElementOf0(X202,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X206),xn)
| ~ aElementOf0(X206,slbdtrb0(xn))
| ~ aElementOf0(X202,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X202),xm)
| aElementOf0(X202,slbdtrb0(xm)) )
& ( ~ aElementOf0(X206,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X206),xn)
| aElementOf0(X206,slbdtrb0(xn))
| ~ aElementOf0(X202,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X202),xm)
| aElementOf0(X202,slbdtrb0(xm)) )
& ( ~ aElementOf0(X207,slbdtrb0(xm))
| aElementOf0(X207,slbdtrb0(xn))
| ~ aElementOf0(X202,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X202),xm)
| aElementOf0(X202,slbdtrb0(xm)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(X202,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X202),xm)
| aElementOf0(X202,slbdtrb0(xm)) )
& ( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X202,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X202),xm)
| aElementOf0(X202,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X205,slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X205),xm)
| ~ aElementOf0(X205,slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X205,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X205),xm)
| aElementOf0(X205,slbdtrb0(xm))
| aSet0(slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( aElementOf0(X206,szNzAzT0)
| ~ aElementOf0(X206,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X206),xn)
| ~ aElementOf0(X206,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X206,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X206),xn)
| aElementOf0(X206,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( ~ aElementOf0(X207,slbdtrb0(xm))
| aElementOf0(X207,slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aSet0(slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| aSet0(slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(X203,szNzAzT0)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X205,slbdtrb0(xm))
| aElementOf0(X203,szNzAzT0)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X205),xm)
| ~ aElementOf0(X205,slbdtrb0(xm))
| aElementOf0(X203,szNzAzT0)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( ~ aElementOf0(X205,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X205),xm)
| aElementOf0(X205,slbdtrb0(xm))
| aElementOf0(X203,szNzAzT0)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(X203,szNzAzT0)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( aElementOf0(X206,szNzAzT0)
| ~ aElementOf0(X206,slbdtrb0(xn))
| aElementOf0(X203,szNzAzT0)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X206),xn)
| ~ aElementOf0(X206,slbdtrb0(xn))
| aElementOf0(X203,szNzAzT0)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( ~ aElementOf0(X206,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X206),xn)
| aElementOf0(X206,slbdtrb0(xn))
| aElementOf0(X203,szNzAzT0)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( ~ aElementOf0(X207,slbdtrb0(xm))
| aElementOf0(X207,slbdtrb0(xn))
| aElementOf0(X203,szNzAzT0)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| aElementOf0(X203,szNzAzT0)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| aElementOf0(X203,szNzAzT0)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X203),xn)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X205,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X203),xn)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X205),xm)
| ~ aElementOf0(X205,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X203),xn)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( ~ aElementOf0(X205,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X205),xm)
| aElementOf0(X205,slbdtrb0(xm))
| sdtlseqdt0(szszuzczcdt0(X203),xn)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X203),xn)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( aElementOf0(X206,szNzAzT0)
| ~ aElementOf0(X206,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X203),xn)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X206),xn)
| ~ aElementOf0(X206,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X203),xn)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( ~ aElementOf0(X206,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X206),xn)
| aElementOf0(X206,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X203),xn)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( ~ aElementOf0(X207,slbdtrb0(xm))
| aElementOf0(X207,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X203),xn)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X203),xn)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(X203),xn)
| ~ aElementOf0(X203,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| ~ aElementOf0(X203,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X203),xn)
| aElementOf0(X203,slbdtrb0(xn)) )
& ( aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X205,slbdtrb0(xm))
| ~ aElementOf0(X203,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X203),xn)
| aElementOf0(X203,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X205),xm)
| ~ aElementOf0(X205,slbdtrb0(xm))
| ~ aElementOf0(X203,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X203),xn)
| aElementOf0(X203,slbdtrb0(xn)) )
& ( ~ aElementOf0(X205,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X205),xm)
| aElementOf0(X205,slbdtrb0(xm))
| ~ aElementOf0(X203,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X203),xn)
| aElementOf0(X203,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(X203,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X203),xn)
| aElementOf0(X203,slbdtrb0(xn)) )
& ( aElementOf0(X206,szNzAzT0)
| ~ aElementOf0(X206,slbdtrb0(xn))
| ~ aElementOf0(X203,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X203),xn)
| aElementOf0(X203,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X206),xn)
| ~ aElementOf0(X206,slbdtrb0(xn))
| ~ aElementOf0(X203,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X203),xn)
| aElementOf0(X203,slbdtrb0(xn)) )
& ( ~ aElementOf0(X206,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X206),xn)
| aElementOf0(X206,slbdtrb0(xn))
| ~ aElementOf0(X203,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X203),xn)
| aElementOf0(X203,slbdtrb0(xn)) )
& ( ~ aElementOf0(X207,slbdtrb0(xm))
| aElementOf0(X207,slbdtrb0(xn))
| ~ aElementOf0(X203,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X203),xn)
| aElementOf0(X203,slbdtrb0(xn)) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ aElementOf0(X203,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X203),xn)
| aElementOf0(X203,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X203,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X203),xn)
| aElementOf0(X203,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xm))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X205,slbdtrb0(xm))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X205),xm)
| ~ aElementOf0(X205,slbdtrb0(xm))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( ~ aElementOf0(X205,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X205),xm)
| aElementOf0(X205,slbdtrb0(xm))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( aSet0(slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( aElementOf0(X206,szNzAzT0)
| ~ aElementOf0(X206,slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( sdtlseqdt0(szszuzczcdt0(X206),xn)
| ~ aElementOf0(X206,slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( ~ aElementOf0(X206,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X206),xn)
| aElementOf0(X206,slbdtrb0(xn))
| aElementOf0(esk10_0,slbdtrb0(xm)) )
& ( ~ aElementOf0(X207,slbdtrb0(xm))
| aElementOf0(X207,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(X205,szNzAzT0)
| ~ aElementOf0(X205,slbdtrb0(xm))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X205),xm)
| ~ aElementOf0(X205,slbdtrb0(xm))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( ~ aElementOf0(X205,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X205),xm)
| aElementOf0(X205,slbdtrb0(xm))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( aElementOf0(X206,szNzAzT0)
| ~ aElementOf0(X206,slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X206),xn)
| ~ aElementOf0(X206,slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( ~ aElementOf0(X206,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X206),xn)
| aElementOf0(X206,slbdtrb0(xn))
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) )
& ( ~ aElementOf0(X207,slbdtrb0(xm))
| aElementOf0(X207,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(X205,szNzAzT0)
| ~ aElementOf0(X205,slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X205),xm)
| ~ aElementOf0(X205,slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X205,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X205),xm)
| aElementOf0(X205,slbdtrb0(xm))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aSet0(slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( aElementOf0(X206,szNzAzT0)
| ~ aElementOf0(X206,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(X206),xn)
| ~ aElementOf0(X206,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X206,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X206),xn)
| aElementOf0(X206,slbdtrb0(xn))
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( ~ aElementOf0(X207,slbdtrb0(xm))
| aElementOf0(X207,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_9])])])])]) ).
fof(c_0_11,plain,
! [X161,X162] :
( ~ aElementOf0(X161,szNzAzT0)
| ~ aElementOf0(X162,szNzAzT0)
| ~ sdtlseqdt0(X161,X162)
| ~ sdtlseqdt0(X162,X161)
| X161 = X162 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
cnf(c_0_12,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),xn)
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,plain,
! [X154] :
( ~ aElementOf0(X154,szNzAzT0)
| X154 != szszuzczcdt0(X154) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
cnf(c_0_15,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(csr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1964]) ).
fof(c_0_18,plain,
! [X159] :
( ~ aElementOf0(X159,szNzAzT0)
| sdtlseqdt0(X159,szszuzczcdt0(X159)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
cnf(c_0_19,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xn))
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xn) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xn) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_22,plain,
! [X166,X167] :
( ~ aElementOf0(X166,szNzAzT0)
| ~ aElementOf0(X167,szNzAzT0)
| sdtlseqdt0(X166,X167)
| sdtlseqdt0(szszuzczcdt0(X167),X166) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
cnf(c_0_23,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,negated_conjecture,
( szszuzczcdt0(X1) = xn
| ~ sdtlseqdt0(xn,szszuzczcdt0(X1))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_26,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,hypothesis,
szszuzczcdt0(xn) != xn,
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
fof(c_0_28,plain,
! [X149] :
( ( aElementOf0(szszuzczcdt0(X149),szNzAzT0)
| ~ aElementOf0(X149,szNzAzT0) )
& ( szszuzczcdt0(X149) != sz00
| ~ aElementOf0(X149,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
cnf(c_0_29,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_30,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(csr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( aElementOf0(esk10_0,slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,negated_conjecture,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xn,slbdtrb0(xn)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_17])]),c_0_27]) ).
cnf(c_0_34,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xm))
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_36,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xm))
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_37,plain,
! [X163,X164,X165] :
( ~ aElementOf0(X163,szNzAzT0)
| ~ aElementOf0(X164,szNzAzT0)
| ~ aElementOf0(X165,szNzAzT0)
| ~ sdtlseqdt0(X163,X164)
| ~ sdtlseqdt0(X164,X165)
| sdtlseqdt0(X163,X165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
cnf(c_0_38,negated_conjecture,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(esk10_0,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_39,negated_conjecture,
( sdtlseqdt0(xn,X1)
| aElementOf0(X1,slbdtrb0(xn))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_17])]) ).
cnf(c_0_40,negated_conjecture,
( aElementOf0(esk10_0,szNzAzT0)
| ~ sdtlseqdt0(xm,xn) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_41,negated_conjecture,
~ aElementOf0(xn,slbdtrb0(xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_17])]) ).
cnf(c_0_42,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xn))
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_43,negated_conjecture,
( aElementOf0(X1,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1964]) ).
cnf(c_0_45,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_37]) ).
cnf(c_0_46,negated_conjecture,
( sdtlseqdt0(xn,esk10_0)
| ~ sdtlseqdt0(xm,xn) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,slbdtrb0(xm)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,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_43,c_0_30]),c_0_44])]) ).
cnf(c_0_49,negated_conjecture,
( sdtlseqdt0(X1,esk10_0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_17])]),c_0_40]) ).
cnf(c_0_50,negated_conjecture,
sdtlseqdt0(xm,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_17])]) ).
cnf(c_0_51,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X1),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_26]),c_0_34]),c_0_19]) ).
cnf(c_0_52,negated_conjecture,
( sdtlseqdt0(X1,esk10_0)
| ~ sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]) ).
cnf(c_0_53,negated_conjecture,
aElementOf0(esk10_0,szNzAzT0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_50])]) ).
fof(c_0_54,plain,
! [X193,X194,X195,X196,X197] :
( ( aSet0(X194)
| X194 != slbdtrb0(X193)
| ~ aElementOf0(X193,szNzAzT0) )
& ( aElementOf0(X195,szNzAzT0)
| ~ aElementOf0(X195,X194)
| X194 != slbdtrb0(X193)
| ~ aElementOf0(X193,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X195),X193)
| ~ aElementOf0(X195,X194)
| X194 != slbdtrb0(X193)
| ~ aElementOf0(X193,szNzAzT0) )
& ( ~ aElementOf0(X196,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X196),X193)
| aElementOf0(X196,X194)
| X194 != slbdtrb0(X193)
| ~ aElementOf0(X193,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X193,X197),X197)
| ~ aElementOf0(esk9_2(X193,X197),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X193,X197)),X193)
| ~ aSet0(X197)
| X197 = slbdtrb0(X193)
| ~ aElementOf0(X193,szNzAzT0) )
& ( aElementOf0(esk9_2(X193,X197),szNzAzT0)
| aElementOf0(esk9_2(X193,X197),X197)
| ~ aSet0(X197)
| X197 = slbdtrb0(X193)
| ~ aElementOf0(X193,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X193,X197)),X193)
| aElementOf0(esk9_2(X193,X197),X197)
| ~ aSet0(X197)
| X197 = slbdtrb0(X193)
| ~ aElementOf0(X193,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_55,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(esk10_0),xn)
| ~ aElementOf0(szszuzczcdt0(esk10_0),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_56,negated_conjecture,
( 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_45,c_0_50]),c_0_17]),c_0_44])]) ).
cnf(c_0_57,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(esk10_0),xm)
| ~ aElementOf0(szszuzczcdt0(esk10_0),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_60,negated_conjecture,
aElementOf0(esk10_0,slbdtrb0(xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_50])]) ).
cnf(c_0_61,negated_conjecture,
~ aElementOf0(szszuzczcdt0(esk10_0),szNzAzT0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_44])]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_34]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM542+2 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n015.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 00:43:46 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.42/1.75 % Version : CSE_E---1.7
% 1.42/1.75 % Problem : theBenchmark.p
% 1.42/1.75 % SZS status Theorem for theBenchmark.p
% 1.42/1.75 % SZS output start CNFRefutation
% See solution above
% 1.42/1.75 % Total time : 1.370s
%------------------------------------------------------------------------------