TSTP Solution File: NUM573+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM573+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 : 600s
% DateTime : Mon Jul 18 09:33:57 EDT 2022
% Result : Theorem 0.39s 22.56s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 12 unt; 0 def)
% Number of atoms : 345 ( 20 equ)
% Maximal formula atoms : 181 ( 7 avg)
% Number of connectives : 494 ( 193 ~; 207 |; 72 &)
% ( 1 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 57 ( 1 sgn 32 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3623) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3671) ).
fof(m__,conjecture,
( ( sdtlseqdt0(xj,xi)
& ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,sdtlpdtrp0(xN,xj)) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mIH,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> iLess0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIH) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLessTotal) ).
fof(m__3754,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> ( iLess0(X1,xi)
=> ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3754) ).
fof(m__3786,hypothesis,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3786) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLessASymm) ).
fof(c_0_8,hypothesis,
! [X3,X5,X6,X6,X7] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( X6 != szmzizndt0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| X6 = szmzizndt0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(esk31_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(esk31_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| ~ aElementOf0(esk31_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(esk31_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(esk31_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(esk31_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( X6 != szmzizndt0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(esk31_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| X6 = szmzizndt0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(esk31_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(esk31_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(esk31_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(esk31_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(esk31_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( X6 != szmzizndt0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| X6 = szmzizndt0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])])])])]) ).
fof(c_0_9,hypothesis,
! [X3,X4] :
( ( aSet0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])])])]) ).
cnf(c_0_10,hypothesis,
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,hypothesis,
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,negated_conjecture,
~ ( ( sdtlseqdt0(xj,xi)
& ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,sdtlpdtrp0(xN,xj)) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_15,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_16,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_13,c_0_11]),c_0_12]) ).
fof(c_0_17,negated_conjecture,
( sdtlseqdt0(xj,xi)
& aElementOf0(esk32_0,szNzAzT0)
& szszuzczcdt0(esk32_0) = xi
& sdtlseqdt0(xj,xi)
& aElementOf0(esk33_0,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(esk33_0,sdtlpdtrp0(xN,xj))
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).
cnf(c_0_18,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
szszuzczcdt0(esk32_0) = xi,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,negated_conjecture,
aElementOf0(esk32_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_21,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| iLess0(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
fof(c_0_22,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(c_0_23,hypothesis,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtlpdtrp0(xN,X5))
| ~ iLess0(X4,xi)
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5))
| ~ iLess0(X4,xi)
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])])])])])]) ).
cnf(c_0_24,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,esk32_0))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_25,negated_conjecture,
aElementOf0(esk33_0,sdtlpdtrp0(xN,xi)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,hypothesis,
aElementOf0(xj,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3786]) ).
fof(c_0_29,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
cnf(c_0_30,hypothesis,
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ iLess0(X2,xi)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
aElementOf0(esk33_0,sdtlpdtrp0(xN,esk32_0)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,negated_conjecture,
iLess0(esk32_0,xi),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_19]),c_0_20])]) ).
cnf(c_0_33,hypothesis,
( sdtlseqdt0(szszuzczcdt0(X1),xj)
| sdtlseqdt0(xj,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,negated_conjecture,
sdtlseqdt0(xj,xi),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_36,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3786]) ).
cnf(c_0_37,hypothesis,
( aElementOf0(esk33_0,sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,esk32_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_20])]) ).
cnf(c_0_38,negated_conjecture,
( sdtlseqdt0(xj,esk32_0)
| sdtlseqdt0(xi,xj) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_19]),c_0_20])]) ).
cnf(c_0_39,negated_conjecture,
~ aElementOf0(esk33_0,sdtlpdtrp0(xN,xj)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_40,negated_conjecture,
( xj = xi
| ~ sdtlseqdt0(xi,xj) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_28]),c_0_36])]) ).
cnf(c_0_41,negated_conjecture,
sdtlseqdt0(xi,xj),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_28])]),c_0_39]) ).
cnf(c_0_42,negated_conjecture,
xj = xi,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_42]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM573+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jul 6 17:17:56 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.39/22.56 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.39/22.56 # Preprocessing time : 0.248 s
% 0.39/22.56
% 0.39/22.56 # Proof found!
% 0.39/22.56 # SZS status Theorem
% 0.39/22.56 # SZS output start CNFRefutation
% See solution above
% 0.39/22.56 # Proof object total steps : 44
% 0.39/22.56 # Proof object clause steps : 28
% 0.39/22.56 # Proof object formula steps : 16
% 0.39/22.56 # Proof object conjectures : 16
% 0.39/22.56 # Proof object clause conjectures : 13
% 0.39/22.56 # Proof object formula conjectures : 3
% 0.39/22.56 # Proof object initial clauses used : 15
% 0.39/22.56 # Proof object initial formulas used : 8
% 0.39/22.56 # Proof object generating inferences : 9
% 0.39/22.56 # Proof object simplifying inferences : 24
% 0.39/22.56 # Training examples: 0 positive, 0 negative
% 0.39/22.56 # Parsed axioms : 85
% 0.39/22.56 # Removed by relevancy pruning/SinE : 0
% 0.39/22.56 # Initial clauses : 4190
% 0.39/22.56 # Removed in clause preprocessing : 7
% 0.39/22.56 # Initial clauses in saturation : 4183
% 0.39/22.56 # Processed clauses : 7240
% 0.39/22.56 # ...of these trivial : 46
% 0.39/22.56 # ...subsumed : 1047
% 0.39/22.56 # ...remaining for further processing : 6147
% 0.39/22.56 # Other redundant clauses eliminated : 234
% 0.39/22.56 # Clauses deleted for lack of memory : 529476
% 0.39/22.56 # Backward-subsumed : 34
% 0.39/22.56 # Backward-rewritten : 378
% 0.39/22.56 # Generated clauses : 598369
% 0.39/22.56 # ...of the previous two non-trivial : 596314
% 0.39/22.56 # Contextual simplify-reflections : 512
% 0.39/22.56 # Paramodulations : 598030
% 0.39/22.56 # Factorizations : 0
% 0.39/22.56 # Equation resolutions : 337
% 0.39/22.56 # Current number of processed clauses : 5730
% 0.39/22.56 # Positive orientable unit clauses : 207
% 0.39/22.56 # Positive unorientable unit clauses: 0
% 0.39/22.56 # Negative unit clauses : 431
% 0.39/22.56 # Non-unit-clauses : 5092
% 0.39/22.56 # Current number of unprocessed clauses: 58290
% 0.39/22.56 # ...number of literals in the above : 756868
% 0.39/22.56 # Current number of archived formulas : 0
% 0.39/22.56 # Current number of archived clauses : 414
% 0.39/22.56 # Clause-clause subsumption calls (NU) : 6724611
% 0.39/22.56 # Rec. Clause-clause subsumption calls : 167169
% 0.39/22.56 # Non-unit clause-clause subsumptions : 872
% 0.39/22.56 # Unit Clause-clause subsumption calls : 1325328
% 0.39/22.56 # Rewrite failures with RHS unbound : 0
% 0.39/22.56 # BW rewrite match attempts : 1021
% 0.39/22.56 # BW rewrite match successes : 6
% 0.39/22.56 # Condensation attempts : 0
% 0.39/22.56 # Condensation successes : 0
% 0.39/22.56 # Termbank termtop insertions : 34125824
% 0.39/22.56
% 0.39/22.56 # -------------------------------------------------
% 0.39/22.56 # User time : 21.490 s
% 0.39/22.56 # System time : 0.134 s
% 0.39/22.56 # Total time : 21.624 s
% 0.39/22.56 # Maximum resident set size: 157172 pages
% 0.39/23.41 eprover: CPU time limit exceeded, terminating
% 0.39/23.42 eprover: CPU time limit exceeded, terminating
% 0.39/23.42 eprover: CPU time limit exceeded, terminating
% 0.39/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.43 eprover: No such file or directory
% 0.39/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.43 eprover: No such file or directory
% 0.39/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.43 eprover: No such file or directory
% 0.39/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.44 eprover: No such file or directory
% 0.39/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.44 eprover: No such file or directory
% 0.39/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.44 eprover: No such file or directory
% 0.39/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.44 eprover: No such file or directory
% 0.39/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.44 eprover: No such file or directory
% 0.39/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.45 eprover: No such file or directory
% 0.39/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.45 eprover: No such file or directory
% 0.39/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.45 eprover: No such file or directory
% 0.39/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.45 eprover: No such file or directory
% 0.39/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.45 eprover: No such file or directory
% 0.39/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.45 eprover: No such file or directory
% 0.39/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.46 eprover: No such file or directory
% 0.39/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.46 eprover: No such file or directory
% 0.39/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.46 eprover: No such file or directory
% 0.39/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.46 eprover: No such file or directory
% 0.39/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.46 eprover: No such file or directory
% 0.39/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.46 eprover: No such file or directory
% 0.39/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.46 eprover: No such file or directory
% 0.39/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.47 eprover: No such file or directory
% 0.39/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.47 eprover: No such file or directory
% 0.39/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.47 eprover: No such file or directory
% 0.39/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.47 eprover: No such file or directory
% 0.39/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.47 eprover: No such file or directory
% 0.39/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.47 eprover: No such file or directory
% 0.39/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.48 eprover: No such file or directory
% 0.39/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.48 eprover: No such file or directory
% 0.39/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.48 eprover: No such file or directory
% 0.39/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.48 eprover: No such file or directory
% 0.39/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.48 eprover: No such file or directory
% 0.39/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------