%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM575+3 : 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 : n024.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 04:57:53 PM UTC 2026
% Result : Theorem 155.86s 151.28s
% Output : CNFRefutation 156.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 71 ( 18 unt; 0 def)
% Number of atoms : 484 ( 43 equ)
% Maximal formula atoms : 181 ( 6 avg)
% Number of connectives : 681 ( 268 ~; 286 |; 98 &)
% ( 4 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 98 ( 0 sgn 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& X1 != X2 )
=> ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X2))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X2))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& szmzizndt0(sdtlpdtrp0(xN,X1)) = szmzizndt0(sdtlpdtrp0(xN,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(m__3754,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
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(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
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(c_0_10,negated_conjecture,
~ ! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& X1 != X2 )
=> ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X2))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X2))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& szmzizndt0(sdtlpdtrp0(xN,X1)) = szmzizndt0(sdtlpdtrp0(xN,X2)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_11,plain,
! [X230] :
( ( aElementOf0(szszuzczcdt0(X230),szNzAzT0)
| ~ aElementOf0(X230,szNzAzT0) )
& ( szszuzczcdt0(X230) != sz00
| ~ aElementOf0(X230,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(c_0_12,negated_conjecture,
! [X385,X386] :
( aElementOf0(esk32_0,szNzAzT0)
& aElementOf0(esk33_0,szNzAzT0)
& esk32_0 != esk33_0
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0))
& ( ~ aElementOf0(X385,sdtlpdtrp0(xN,esk32_0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),X385) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk33_0))
& ( ~ aElementOf0(X386,sdtlpdtrp0(xN,esk33_0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),X386) )
& szmzizndt0(sdtlpdtrp0(xN,esk32_0)) = szmzizndt0(sdtlpdtrp0(xN,esk33_0)) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_13,hypothesis,
! [X380,X381,X382] :
( ( ~ aElementOf0(X382,sdtlpdtrp0(xN,X380))
| aElementOf0(X382,sdtlpdtrp0(xN,X381))
| ~ sdtlseqdt0(X381,X380)
| ~ aElementOf0(X380,szNzAzT0)
| ~ aElementOf0(X381,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X380),sdtlpdtrp0(xN,X381))
| ~ sdtlseqdt0(X381,X380)
| ~ aElementOf0(X380,szNzAzT0)
| ~ aElementOf0(X381,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])])])]) ).
cnf(c_0_14,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
aElementOf0(esk33_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X247,X248] :
( ~ aElementOf0(X247,szNzAzT0)
| ~ aElementOf0(X248,szNzAzT0)
| sdtlseqdt0(X247,X248)
| sdtlseqdt0(szszuzczcdt0(X248),X247) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
cnf(c_0_17,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
aElementOf0(szszuzczcdt0(esk33_0),szNzAzT0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,szszuzczcdt0(esk33_0)))
| ~ sdtlseqdt0(szszuzczcdt0(esk33_0),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
aElementOf0(esk32_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(esk33_0),X1)
| sdtlseqdt0(X1,esk33_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
fof(c_0_23,hypothesis,
! [X378,X379] :
( ( aSet0(sdtlpdtrp0(xN,X378))
| ~ aElementOf0(X378,szNzAzT0) )
& ( ~ aElementOf0(X379,sdtlpdtrp0(xN,X378))
| aElementOf0(X379,szNzAzT0)
| ~ aElementOf0(X378,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X378),szNzAzT0)
| ~ aElementOf0(X378,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X378))
| ~ aElementOf0(X378,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])]) ).
fof(c_0_24,hypothesis,
! [X372,X374,X375,X376,X377] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X372)),sdtlpdtrp0(xN,X372))
| aElementOf0(esk31_1(X372),sdtlpdtrp0(xN,X372))
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( ~ aElementOf0(X374,sdtlpdtrp0(xN,X372))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X372)),X374)
| aElementOf0(esk31_1(X372),sdtlpdtrp0(xN,X372))
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| aElementOf0(esk31_1(X372),sdtlpdtrp0(xN,X372))
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aElement0(X375)
| ~ aElementOf0(X375,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| aElementOf0(esk31_1(X372),sdtlpdtrp0(xN,X372))
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aElementOf0(X375,sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X375,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| aElementOf0(esk31_1(X372),sdtlpdtrp0(xN,X372))
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( X375 != szmzizndt0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X375,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| aElementOf0(esk31_1(X372),sdtlpdtrp0(xN,X372))
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( ~ aElement0(X376)
| ~ aElementOf0(X376,sdtlpdtrp0(xN,X372))
| X376 = szmzizndt0(sdtlpdtrp0(xN,X372))
| aElementOf0(X376,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| aElementOf0(esk31_1(X372),sdtlpdtrp0(xN,X372))
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X372)))
| aElementOf0(esk31_1(X372),sdtlpdtrp0(xN,X372))
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( ~ aElementOf0(X377,sdtlpdtrp0(xN,szszuzczcdt0(X372)))
| aElementOf0(X377,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| aElementOf0(esk31_1(X372),sdtlpdtrp0(xN,X372))
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X372)),sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| aElementOf0(esk31_1(X372),sdtlpdtrp0(xN,X372))
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X372)))
| aElementOf0(esk31_1(X372),sdtlpdtrp0(xN,X372))
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X372)),sdtlpdtrp0(xN,X372))
| ~ aElementOf0(esk31_1(X372),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( ~ aElementOf0(X374,sdtlpdtrp0(xN,X372))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X372)),X374)
| ~ aElementOf0(esk31_1(X372),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| ~ aElementOf0(esk31_1(X372),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aElement0(X375)
| ~ aElementOf0(X375,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| ~ aElementOf0(esk31_1(X372),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aElementOf0(X375,sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X375,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| ~ aElementOf0(esk31_1(X372),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( X375 != szmzizndt0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X375,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| ~ aElementOf0(esk31_1(X372),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( ~ aElement0(X376)
| ~ aElementOf0(X376,sdtlpdtrp0(xN,X372))
| X376 = szmzizndt0(sdtlpdtrp0(xN,X372))
| aElementOf0(X376,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| ~ aElementOf0(esk31_1(X372),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X372)))
| ~ aElementOf0(esk31_1(X372),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( ~ aElementOf0(X377,sdtlpdtrp0(xN,szszuzczcdt0(X372)))
| aElementOf0(X377,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| ~ aElementOf0(esk31_1(X372),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X372)),sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| ~ aElementOf0(esk31_1(X372),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X372)))
| ~ aElementOf0(esk31_1(X372),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X372))
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X372)),sdtlpdtrp0(xN,X372))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X372),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( ~ aElementOf0(X374,sdtlpdtrp0(xN,X372))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X372)),X374)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X372),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X372),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aElement0(X375)
| ~ aElementOf0(X375,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X372),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aElementOf0(X375,sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X375,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X372),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( X375 != szmzizndt0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X375,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X372),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( ~ aElement0(X376)
| ~ aElementOf0(X376,sdtlpdtrp0(xN,X372))
| X376 = szmzizndt0(sdtlpdtrp0(xN,X372))
| aElementOf0(X376,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X372),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X372)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X372),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( ~ aElementOf0(X377,sdtlpdtrp0(xN,szszuzczcdt0(X372)))
| aElementOf0(X377,sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X372),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X372)),sdtmndt0(sdtlpdtrp0(xN,X372),szmzizndt0(sdtlpdtrp0(xN,X372))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X372),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X372)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X372),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X372))
| ~ aElementOf0(X372,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)],[m__3623])])])])])]) ).
fof(c_0_25,plain,
! [X191,X192,X193,X194] :
( ( aSet0(X192)
| ~ aSubsetOf0(X192,X191)
| ~ aSet0(X191) )
& ( ~ aElementOf0(X193,X192)
| aElementOf0(X193,X191)
| ~ aSubsetOf0(X192,X191)
| ~ aSet0(X191) )
& ( aElementOf0(esk2_2(X191,X194),X194)
| ~ aSet0(X194)
| aSubsetOf0(X194,X191)
| ~ aSet0(X191) )
& ( ~ aElementOf0(esk2_2(X191,X194),X191)
| ~ aSet0(X194)
| aSubsetOf0(X194,X191)
| ~ aSet0(X191) ) ),
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)],[mDefSub])])])])])]) ).
cnf(c_0_26,negated_conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,esk32_0),sdtlpdtrp0(xN,szszuzczcdt0(esk33_0)))
| ~ sdtlseqdt0(szszuzczcdt0(esk33_0),esk32_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(esk33_0),esk32_0)
| sdtlseqdt0(esk32_0,esk33_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_28,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
aElementOf0(szszuzczcdt0(esk32_0),szNzAzT0),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
fof(c_0_30,plain,
! [X211,X212,X213,X214,X215,X216] :
( ( aSet0(X213)
| X213 != sdtmndt0(X211,X212)
| ~ aSet0(X211)
| ~ aElement0(X212) )
& ( aElement0(X214)
| ~ aElementOf0(X214,X213)
| X213 != sdtmndt0(X211,X212)
| ~ aSet0(X211)
| ~ aElement0(X212) )
& ( aElementOf0(X214,X211)
| ~ aElementOf0(X214,X213)
| X213 != sdtmndt0(X211,X212)
| ~ aSet0(X211)
| ~ aElement0(X212) )
& ( X214 != X212
| ~ aElementOf0(X214,X213)
| X213 != sdtmndt0(X211,X212)
| ~ aSet0(X211)
| ~ aElement0(X212) )
& ( ~ aElement0(X215)
| ~ aElementOf0(X215,X211)
| X215 = X212
| aElementOf0(X215,X213)
| X213 != sdtmndt0(X211,X212)
| ~ aSet0(X211)
| ~ aElement0(X212) )
& ( ~ aElementOf0(esk4_3(X211,X212,X216),X216)
| ~ aElement0(esk4_3(X211,X212,X216))
| ~ aElementOf0(esk4_3(X211,X212,X216),X211)
| esk4_3(X211,X212,X216) = X212
| ~ aSet0(X216)
| X216 = sdtmndt0(X211,X212)
| ~ aSet0(X211)
| ~ aElement0(X212) )
& ( aElement0(esk4_3(X211,X212,X216))
| aElementOf0(esk4_3(X211,X212,X216),X216)
| ~ aSet0(X216)
| X216 = sdtmndt0(X211,X212)
| ~ aSet0(X211)
| ~ aElement0(X212) )
& ( aElementOf0(esk4_3(X211,X212,X216),X211)
| aElementOf0(esk4_3(X211,X212,X216),X216)
| ~ aSet0(X216)
| X216 = sdtmndt0(X211,X212)
| ~ aSet0(X211)
| ~ aElement0(X212) )
& ( esk4_3(X211,X212,X216) != X212
| aElementOf0(esk4_3(X211,X212,X216),X216)
| ~ aSet0(X216)
| X216 = sdtmndt0(X211,X212)
| ~ aSet0(X211)
| ~ aElement0(X212) ) ),
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)],[mDefDiff])])])])])]) ).
cnf(c_0_31,hypothesis,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,negated_conjecture,
( sdtlseqdt0(esk32_0,esk33_0)
| aSubsetOf0(sdtlpdtrp0(xN,esk32_0),sdtlpdtrp0(xN,szszuzczcdt0(esk33_0))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_36,negated_conjecture,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(esk33_0))),
inference(spm,[status(thm)],[c_0_28,c_0_18]) ).
cnf(c_0_37,negated_conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,szszuzczcdt0(esk32_0)))
| ~ sdtlseqdt0(szszuzczcdt0(esk32_0),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_17,c_0_29]) ).
cnf(c_0_38,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(esk32_0),X1)
| sdtlseqdt0(X1,esk32_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_39,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,hypothesis,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_41,negated_conjecture,
szmzizndt0(sdtlpdtrp0(xN,esk32_0)) = szmzizndt0(sdtlpdtrp0(xN,esk33_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_42,negated_conjecture,
( sdtlseqdt0(esk32_0,esk33_0)
| aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk33_0)))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk32_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_43,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_44,plain,
! [X183,X184] :
( ~ aSet0(X183)
| ~ aElementOf0(X184,X183)
| aElement0(X184) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_45,negated_conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,esk33_0),sdtlpdtrp0(xN,szszuzczcdt0(esk32_0)))
| ~ sdtlseqdt0(szszuzczcdt0(esk32_0),esk33_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_15]) ).
cnf(c_0_46,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(esk32_0),esk33_0)
| sdtlseqdt0(esk33_0,esk32_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_15]) ).
fof(c_0_47,plain,
! [X242,X243] :
( ~ aElementOf0(X242,szNzAzT0)
| ~ aElementOf0(X243,szNzAzT0)
| ~ sdtlseqdt0(X242,X243)
| ~ sdtlseqdt0(X243,X242)
| X242 = X243 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
cnf(c_0_48,plain,
( X1 != sdtmndt0(X2,X3)
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_49,negated_conjecture,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk33_0))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_15]),c_0_41]) ).
cnf(c_0_50,negated_conjecture,
( sdtlseqdt0(esk32_0,esk33_0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,szszuzczcdt0(esk33_0))) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_51,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk33_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_53,negated_conjecture,
aSet0(sdtlpdtrp0(xN,esk33_0)),
inference(spm,[status(thm)],[c_0_28,c_0_15]) ).
cnf(c_0_54,negated_conjecture,
( sdtlseqdt0(esk33_0,esk32_0)
| aSubsetOf0(sdtlpdtrp0(xN,esk33_0),sdtlpdtrp0(xN,szszuzczcdt0(esk32_0))) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_55,negated_conjecture,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(esk32_0))),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_56,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,plain,
( ~ aElementOf0(X1,sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_58,negated_conjecture,
( sdtlseqdt0(esk32_0,esk33_0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,negated_conjecture,
aElement0(szmzizndt0(sdtlpdtrp0(xN,esk32_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_60,negated_conjecture,
( sdtlseqdt0(esk33_0,esk32_0)
| aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk32_0)))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk33_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_54]),c_0_55])]) ).
cnf(c_0_61,negated_conjecture,
( X1 = esk32_0
| ~ sdtlseqdt0(esk32_0,X1)
| ~ sdtlseqdt0(X1,esk32_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_56,c_0_21]) ).
cnf(c_0_62,negated_conjecture,
sdtlseqdt0(esk32_0,esk33_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_53])]) ).
cnf(c_0_63,negated_conjecture,
esk32_0 != esk33_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_64,negated_conjecture,
( sdtlseqdt0(esk33_0,esk32_0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,szszuzczcdt0(esk32_0))) ),
inference(spm,[status(thm)],[c_0_60,c_0_52]) ).
cnf(c_0_65,negated_conjecture,
~ sdtlseqdt0(esk33_0,esk32_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_15])]),c_0_63]) ).
cnf(c_0_66,negated_conjecture,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk32_0))) ),
inference(spm,[status(thm)],[c_0_40,c_0_21]) ).
cnf(c_0_67,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,szszuzczcdt0(esk32_0))),
inference(sr,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_69,negated_conjecture,
aSet0(sdtlpdtrp0(xN,esk32_0)),
inference(spm,[status(thm)],[c_0_28,c_0_21]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_68]),c_0_59]),c_0_69])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : NUM575+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.06 % 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
% 0.07/0.25 % Computer : n024.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Mon May 4 19:46:41 EDT 2026
% 0.07/0.25 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 155.86/151.28 % Version : CSE_E---1.7
% 155.86/151.28 % Problem : theBenchmark.p
% 155.86/151.28 % SZS status Theorem for theBenchmark.p
% 155.86/151.28 % SZS output start CNFRefutation
% See solution above
% 156.66/152.04 % Total time : 121.528s
%------------------------------------------------------------------------------