%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM581+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:49:39 PM UTC 2026
% Result : Theorem 0.15s 5.75s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 56 ( 16 unt; 0 def)
% Number of atoms : 513 ( 46 equ)
% Maximal formula atoms : 181 ( 9 avg)
% Number of connectives : 708 ( 251 ~; 266 |; 145 &)
% ( 11 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 97 ( 0 sgn 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
=> ( ( ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( ( X1 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X1,xQ) )
& aElement0(X1) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
=> ( aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
| ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
=> aElementOf0(X1,xS) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aElement0(X2)
& aSet0(X1) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( ! [X4] :
( aElementOf0(X4,X3)
<=> ( X4 != X2
& aElementOf0(X4,X1)
& aElement0(X4) ) )
& aSet0(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X1))
& aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(m__3623,hypothesis,
( ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X1))
& ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(m__3989_02,hypothesis,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& sbrdtbr0(xQ) = xk
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( X1 != szmzizndt0(sdtlpdtrp0(xN,xi))
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3989_02) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(m__3989,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3989) ).
fof(m__3754,hypothesis,
! [X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> aElementOf0(X3,sdtlpdtrp0(xN,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(mZeroLess,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(mNATSet,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(m__3435,hypothesis,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(c_0_13,negated_conjecture,
~ ( ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
=> ( ( ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( ( X1 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X1,xQ) )
& aElement0(X1) ) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
=> ( aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
| ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
=> aElementOf0(X1,xS) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_14,plain,
! [X1,X2] :
( ( aElement0(X2)
& aSet0(X1) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( ! [X4] :
( aElementOf0(X4,X3)
<=> ( X4 != X2
& aElementOf0(X4,X1)
& aElement0(X4) ) )
& aSet0(X3) ) ) ),
inference(fof_simplification,[status(thm)],[mDefDiff]) ).
fof(c_0_15,hypothesis,
! [X69,X70] :
( ( ~ aElementOf0(X69,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,X69)) )
& ( ~ aElementOf0(X69,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X69),szNzAzT0) )
& ( ~ aElementOf0(X69,szNzAzT0)
| aElementOf0(X70,szNzAzT0)
| ~ aElementOf0(X70,sdtlpdtrp0(xN,X69)) )
& ( ~ aElementOf0(X69,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X69)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])])]) ).
fof(c_0_16,negated_conjecture,
! [X8,X9] :
( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS)
& ~ aElementOf0(esk1_0,xS)
& aElementOf0(esk1_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( aElementOf0(X9,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElement0(X9)
| X9 != szmzizndt0(sdtlpdtrp0(xN,xi)) )
& ( aElementOf0(X9,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElement0(X9)
| ~ aElementOf0(X9,xQ) )
& ( ~ aElementOf0(X9,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| X9 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X9,xQ) )
& ( ~ aElementOf0(X9,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElement0(X9) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X8)
| ~ aElementOf0(X8,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
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])])])])])]) ).
fof(c_0_17,hypothesis,
( ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X1))
& ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,X1))
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
inference(fof_simplification,[status(thm)],[m__3623]) ).
fof(c_0_18,plain,
! [X165,X166,X167,X168,X169,X170] :
( ( ~ aElement0(X166)
| ~ aSet0(X165)
| X170 = sdtmndt0(X165,X166)
| ~ aSet0(X170)
| aElementOf0(esk28_3(X165,X166,X170),X170)
| esk28_3(X165,X166,X170) != X166 )
& ( ~ aElement0(X166)
| ~ aSet0(X165)
| X170 = sdtmndt0(X165,X166)
| ~ aSet0(X170)
| aElementOf0(esk28_3(X165,X166,X170),X170)
| aElementOf0(esk28_3(X165,X166,X170),X165) )
& ( ~ aElement0(X166)
| ~ aSet0(X165)
| X170 = sdtmndt0(X165,X166)
| ~ aSet0(X170)
| aElementOf0(esk28_3(X165,X166,X170),X170)
| aElement0(esk28_3(X165,X166,X170)) )
& ( ~ aElement0(X166)
| ~ aSet0(X165)
| X170 = sdtmndt0(X165,X166)
| ~ aSet0(X170)
| esk28_3(X165,X166,X170) = X166
| ~ aElementOf0(esk28_3(X165,X166,X170),X165)
| ~ aElement0(esk28_3(X165,X166,X170))
| ~ aElementOf0(esk28_3(X165,X166,X170),X170) )
& ( ~ aElement0(X166)
| ~ aSet0(X165)
| X167 != sdtmndt0(X165,X166)
| aElementOf0(X169,X167)
| X169 = X166
| ~ aElementOf0(X169,X165)
| ~ aElement0(X169) )
& ( ~ aElement0(X166)
| ~ aSet0(X165)
| X167 != sdtmndt0(X165,X166)
| ~ aElementOf0(X168,X167)
| X168 != X166 )
& ( ~ aElement0(X166)
| ~ aSet0(X165)
| X167 != sdtmndt0(X165,X166)
| ~ aElementOf0(X168,X167)
| aElementOf0(X168,X165) )
& ( ~ aElement0(X166)
| ~ aSet0(X165)
| X167 != sdtmndt0(X165,X166)
| ~ aElementOf0(X168,X167)
| aElement0(X168) )
& ( ~ aElement0(X166)
| ~ aSet0(X165)
| X167 != sdtmndt0(X165,X166)
| aSet0(X167) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])])])]) ).
fof(c_0_19,hypothesis,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& sbrdtbr0(xQ) = xk
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( X1 != szmzizndt0(sdtlpdtrp0(xN,xi))
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(fof_simplification,[status(thm)],[m__3989_02]) ).
fof(c_0_20,plain,
! [X145,X146] :
( aElement0(X146)
| ~ aElementOf0(X146,X145)
| ~ aSet0(X145) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).
cnf(c_0_21,hypothesis,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3989]) ).
fof(c_0_24,hypothesis,
! [X71,X72,X73] :
( ( ~ aElementOf0(X72,szNzAzT0)
| ~ aElementOf0(X71,szNzAzT0)
| ~ sdtlseqdt0(X72,X71)
| aSubsetOf0(sdtlpdtrp0(xN,X71),sdtlpdtrp0(xN,X72)) )
& ( ~ aElementOf0(X72,szNzAzT0)
| ~ aElementOf0(X71,szNzAzT0)
| ~ sdtlseqdt0(X72,X71)
| aElementOf0(X73,sdtlpdtrp0(xN,X72))
| ~ aElementOf0(X73,sdtlpdtrp0(xN,X71)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])])])])]) ).
fof(c_0_25,hypothesis,
! [X84,X86,X87,X88,X89] :
( ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X84),szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X84))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X84),szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X84)),sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84)))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X84),szNzAzT0)
| aElementOf0(X89,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| ~ aElementOf0(X89,sdtlpdtrp0(xN,szszuzczcdt0(X84))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X84),szNzAzT0)
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X84))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X84),szNzAzT0)
| aElementOf0(X88,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| X88 = szmzizndt0(sdtlpdtrp0(xN,X84))
| ~ aElementOf0(X88,sdtlpdtrp0(xN,X84))
| ~ aElement0(X88) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X84),szNzAzT0)
| ~ aElementOf0(X87,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| X87 != szmzizndt0(sdtlpdtrp0(xN,X84)) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X84),szNzAzT0)
| ~ aElementOf0(X87,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| aElementOf0(X87,sdtlpdtrp0(xN,X84)) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X84),szNzAzT0)
| ~ aElementOf0(X87,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| aElement0(X87) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X84),szNzAzT0)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84)))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X84),szNzAzT0)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X84)),X86)
| ~ aElementOf0(X86,sdtlpdtrp0(xN,X84)) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X84),szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X84)),sdtlpdtrp0(xN,X84)) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| ~ aElementOf0(esk15_1(X84),szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X84))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| ~ aElementOf0(esk15_1(X84),szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X84)),sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84)))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| ~ aElementOf0(esk15_1(X84),szNzAzT0)
| aElementOf0(X89,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| ~ aElementOf0(X89,sdtlpdtrp0(xN,szszuzczcdt0(X84))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| ~ aElementOf0(esk15_1(X84),szNzAzT0)
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X84))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| ~ aElementOf0(esk15_1(X84),szNzAzT0)
| aElementOf0(X88,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| X88 = szmzizndt0(sdtlpdtrp0(xN,X84))
| ~ aElementOf0(X88,sdtlpdtrp0(xN,X84))
| ~ aElement0(X88) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| ~ aElementOf0(esk15_1(X84),szNzAzT0)
| ~ aElementOf0(X87,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| X87 != szmzizndt0(sdtlpdtrp0(xN,X84)) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| ~ aElementOf0(esk15_1(X84),szNzAzT0)
| ~ aElementOf0(X87,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| aElementOf0(X87,sdtlpdtrp0(xN,X84)) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| ~ aElementOf0(esk15_1(X84),szNzAzT0)
| ~ aElementOf0(X87,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| aElement0(X87) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| ~ aElementOf0(esk15_1(X84),szNzAzT0)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84)))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| ~ aElementOf0(esk15_1(X84),szNzAzT0)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X84)),X86)
| ~ aElementOf0(X86,sdtlpdtrp0(xN,X84)) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| ~ aElementOf0(esk15_1(X84),szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X84)),sdtlpdtrp0(xN,X84)) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| aElementOf0(esk15_1(X84),sdtlpdtrp0(xN,X84))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X84))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| aElementOf0(esk15_1(X84),sdtlpdtrp0(xN,X84))
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X84)),sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84)))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| aElementOf0(esk15_1(X84),sdtlpdtrp0(xN,X84))
| aElementOf0(X89,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| ~ aElementOf0(X89,sdtlpdtrp0(xN,szszuzczcdt0(X84))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| aElementOf0(esk15_1(X84),sdtlpdtrp0(xN,X84))
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X84))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| aElementOf0(esk15_1(X84),sdtlpdtrp0(xN,X84))
| aElementOf0(X88,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| X88 = szmzizndt0(sdtlpdtrp0(xN,X84))
| ~ aElementOf0(X88,sdtlpdtrp0(xN,X84))
| ~ aElement0(X88) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| aElementOf0(esk15_1(X84),sdtlpdtrp0(xN,X84))
| ~ aElementOf0(X87,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| X87 != szmzizndt0(sdtlpdtrp0(xN,X84)) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| aElementOf0(esk15_1(X84),sdtlpdtrp0(xN,X84))
| ~ aElementOf0(X87,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| aElementOf0(X87,sdtlpdtrp0(xN,X84)) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| aElementOf0(esk15_1(X84),sdtlpdtrp0(xN,X84))
| ~ aElementOf0(X87,sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84))))
| aElement0(X87) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| aElementOf0(esk15_1(X84),sdtlpdtrp0(xN,X84))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X84),szmzizndt0(sdtlpdtrp0(xN,X84)))) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| aElementOf0(esk15_1(X84),sdtlpdtrp0(xN,X84))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X84)),X86)
| ~ aElementOf0(X86,sdtlpdtrp0(xN,X84)) )
& ( ~ aElementOf0(X84,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X84))
| ~ aSet0(sdtlpdtrp0(xN,X84))
| aElementOf0(esk15_1(X84),sdtlpdtrp0(xN,X84))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X84)),sdtlpdtrp0(xN,X84)) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])])]) ).
fof(c_0_26,plain,
! [X188] :
( sdtlseqdt0(sz00,X188)
| ~ aElementOf0(X188,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])])]) ).
cnf(c_0_27,plain,
( ~ aElement0(X4)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X4)
| ~ aElementOf0(X1,X3)
| aElementOf0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_28,hypothesis,
! [X113,X114,X115] :
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& sbrdtbr0(xQ) = xk
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( aElementOf0(X115,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X115,xQ) )
& aSet0(xQ)
& ( aElementOf0(X114,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| X114 = szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X114,sdtlpdtrp0(xN,xi))
| ~ aElement0(X114) )
& ( ~ aElementOf0(X114,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| X114 != szmzizndt0(sdtlpdtrp0(xN,xi)) )
& ( ~ aElementOf0(X114,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElementOf0(X114,sdtlpdtrp0(xN,xi)) )
& ( ~ aElementOf0(X114,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| aElement0(X114) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X113)
| ~ aElementOf0(X113,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])]) ).
cnf(c_0_29,plain,
( ~ aElementOf0(X2,X1)
| ~ aSet0(X1)
| aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),szNzAzT0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_31,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
fof(c_0_32,plain,
! [X11,X12,X13,X14] :
( ( ~ aSet0(X11)
| aSubsetOf0(X14,X11)
| ~ aSet0(X14)
| ~ aElementOf0(esk2_2(X11,X14),X11) )
& ( ~ aSet0(X11)
| aSubsetOf0(X14,X11)
| ~ aSet0(X14)
| aElementOf0(esk2_2(X11,X14),X14) )
& ( ~ aSet0(X11)
| ~ aSubsetOf0(X12,X11)
| aElementOf0(X13,X11)
| ~ aElementOf0(X13,X12) )
& ( ~ aSet0(X11)
| ~ aSubsetOf0(X12,X11)
| aSet0(X12) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSub])])])])])])]) ).
cnf(c_0_33,hypothesis,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X2,X1)
| aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]) ).
cnf(c_0_36,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_37,hypothesis,
! [X74] :
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ( aElementOf0(X74,szNzAzT0)
| ~ aElementOf0(X74,xS) )
& aSet0(xS) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3435])])])]) ).
cnf(c_0_38,plain,
( ~ aSet0(X2)
| ~ aElement0(X3)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| aElementOf0(X1,X2) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_39,hypothesis,
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,negated_conjecture,
aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_41,plain,
( ~ aSet0(X3)
| ~ aSubsetOf0(X2,X3)
| ~ aElementOf0(X1,X2)
| aElementOf0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,hypothesis,
( ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X1),xS) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_43,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,hypothesis,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X1,xQ)
| aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_45,hypothesis,
( ~ aElementOf0(X1,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_46,hypothesis,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_47,hypothesis,
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_23])]) ).
cnf(c_0_48,negated_conjecture,
~ aElementOf0(esk1_0,xS),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_49,hypothesis,
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_23])]) ).
cnf(c_0_50,negated_conjecture,
( ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| X1 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_51,negated_conjecture,
aElementOf0(esk1_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_52,negated_conjecture,
~ aElementOf0(esk1_0,xQ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_22]),c_0_23])]) ).
cnf(c_0_54,negated_conjecture,
szmzizndt0(sdtlpdtrp0(xN,xi)) = esk1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_48]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM581+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.38 % Computer : n015.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 02:45:26 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.75 % Version: 3.5.1
% 0.15/5.75 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.75 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.75 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.75 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.75 % Starting sh5l with 300s (1) cores
% 0.15/5.75 % sh5l with pid 386886 completed with status 0
% 0.15/5.75 % Result found by sh5l
% 0.15/5.75 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.75 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.75 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.75 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.75 % Starting sh5l with 300s (1) cores
% 0.15/5.75 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.15/5.75 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/5.75 % Search class: FGHSF-SMLM32-MFFFFFNN
% 0.15/5.75 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.75 % Starting SubtermCWHack with 28s (1) cores
% 0.15/5.75 % SubtermCWHack with pid 386887 completed with status 0
% 0.15/5.75 % Result found by SubtermCWHack
% 0.15/5.75 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.75 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.75 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.75 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.75 % Starting sh5l with 300s (1) cores
% 0.15/5.75 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.15/5.75 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/5.75 % Search class: FGHSF-SMLM32-MFFFFFNN
% 0.15/5.75 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.75 % Starting SubtermCWHack with 28s (1) cores
% 0.15/5.75 % Preprocessing time : 0.084 s
% 0.15/5.75
% 0.15/5.75 % Proof found!
% 0.15/5.75 % SZS status Theorem
% 0.15/5.75 % SZS output start CNFRefutation
% See solution above
% 0.15/5.75 % Parsed axioms : 88
% 0.15/5.75 % Removed by relevancy pruning/SinE : 2
% 0.15/5.75 % Initial clauses : 4208
% 0.15/5.75 % Removed in clause preprocessing : 7
% 0.15/5.75 % Initial clauses in saturation : 4201
% 0.15/5.75 % Processed clauses : 947
% 0.15/5.75 % ...of these trivial : 7
% 0.15/5.75 % ...subsumed : 364
% 0.15/5.75 % ...remaining for further processing : 576
% 0.15/5.75 % Other redundant clauses eliminated : 44
% 0.15/5.75 % Clauses deleted for lack of memory : 0
% 0.15/5.75 % Backward-subsumed : 38
% 0.15/5.75 % Backward-rewritten : 21
% 0.15/5.75 % Generated clauses : 2154
% 0.15/5.75 % ...of the previous two non-redundant : 1763
% 0.15/5.75 % ...aggressively subsumed : 0
% 0.15/5.75 % Contextual simplify-reflections : 33
% 0.15/5.75 % Paramodulations : 2110
% 0.15/5.75 % Factorizations : 0
% 0.15/5.75 % NegExts : 0
% 0.15/5.75 % Equation resolutions : 46
% 0.15/5.75 % Disequality decompositions : 0
% 0.15/5.75 % Total rewrite steps : 1609
% 0.15/5.75 % ...of those cached : 1541
% 0.15/5.75 % Propositional unsat checks : 0
% 0.15/5.75 % Propositional check models : 0
% 0.15/5.75 % Propositional check unsatisfiable : 0
% 0.15/5.75 % Propositional clauses : 0
% 0.15/5.75 % Propositional clauses after purity: 0
% 0.15/5.75 % Propositional unsat core size : 0
% 0.15/5.75 % Propositional preprocessing time : 0.000
% 0.15/5.75 % Propositional encoding time : 0.000
% 0.15/5.75 % Propositional solver time : 0.000
% 0.15/5.75 % Success case prop preproc time : 0.000
% 0.15/5.75 % Success case prop encoding time : 0.000
% 0.15/5.75 % Success case prop solver time : 0.000
% 0.15/5.75 % Current number of processed clauses : 480
% 0.15/5.75 % Positive orientable unit clauses : 76
% 0.15/5.75 % Positive unorientable unit clauses: 0
% 0.15/5.75 % Negative unit clauses : 23
% 0.15/5.75 % Non-unit-clauses : 381
% 0.15/5.75 % Current number of unprocessed clauses: 4988
% 0.15/5.75 % ...number of literals in the above : 55346
% 0.15/5.75 % Current number of archived formulas : 0
% 0.15/5.75 % Current number of archived clauses : 62
% 0.15/5.75 % Clause-clause subsumption calls (NU) : 22622
% 0.15/5.75 % Rec. Clause-clause subsumption calls : 13177
% 0.15/5.75 % Non-unit clause-clause subsumptions : 328
% 0.15/5.75 % Unit Clause-clause subsumption calls : 1398
% 0.15/5.75 % Rewrite failures with RHS unbound : 0
% 0.15/5.75 % BW rewrite match attempts : 16
% 0.15/5.75 % BW rewrite match successes : 16
% 0.15/5.75 % Condensation attempts : 0
% 0.15/5.75 % Condensation successes : 0
% 0.15/5.75 % Termbank termtop insertions : 368345
% 0.15/5.75 % Search garbage collected termcells : 27031
% 0.15/5.75
% 0.15/5.75 % -------------------------------------------------
% 0.15/5.75 % User time : 0.257 s
% 0.15/5.75 % System time : 0.035 s
% 0.15/5.75 % Total time : 0.292 s
% 0.15/5.75 % Maximum resident set size: 15280 pages
% 0.15/5.75
% 0.15/5.75 % -------------------------------------------------
% 0.15/5.75 % User time : 0.261 s
% 0.15/5.75 % System time : 0.041 s
% 0.15/5.75 % Total time : 0.303 s
% 0.15/5.75 % Maximum resident set size: 4864 pages
% 0.15/5.75 % E exiting
%------------------------------------------------------------------------------