TSTP Solution File: NUM575+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM575+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n117.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:21:51 EST 2018
% Result : Theorem 70.82s
% Output : CNFRefutation 70.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 84 ( 18 unt; 0 def)
% Number of atoms : 596 ( 10 equ)
% Maximal formula atoms : 181 ( 7 avg)
% Number of connectives : 825 ( 313 ~; 314 |; 177 &)
% ( 1 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 127 ( 0 sgn 82 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& ~ equal(szszuzczcdt0(X1),sz00) ) ),
file('/export/starexec/sandbox2/tmp/tmpSuc59L/sel_theBenchmark.p_2',mSuccNum) ).
fof(16,axiom,
! [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/sandbox2/tmp/tmpSuc59L/sel_theBenchmark.p_2',m__3671) ).
fof(61,axiom,
! [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/sandbox2/tmp/tmpSuc59L/sel_theBenchmark.p_2',m__3754) ).
fof(62,axiom,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(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))
& ~ equal(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/sandbox2/tmp/tmpSuc59L/sel_theBenchmark.p_2',m__3623) ).
fof(67,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpSuc59L/sel_theBenchmark.p_2',mLessTotal) ).
fof(68,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> equal(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpSuc59L/sel_theBenchmark.p_2',mLessASymm) ).
fof(80,conjecture,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& ~ equal(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) )
& equal(szmzizndt0(sdtlpdtrp0(xN,X1)),szmzizndt0(sdtlpdtrp0(xN,X2))) ) ),
file('/export/starexec/sandbox2/tmp/tmpSuc59L/sel_theBenchmark.p_2',m__) ).
fof(85,negated_conjecture,
~ ! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& ~ equal(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) )
& equal(szmzizndt0(sdtlpdtrp0(xN,X1)),szmzizndt0(sdtlpdtrp0(xN,X2))) ) ),
inference(assume_negation,[status(cth)],[80]) ).
fof(112,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& ~ equal(szszuzczcdt0(X1),sz00) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(113,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
& ~ equal(szszuzczcdt0(X2),sz00) ) ),
inference(variable_rename,[status(thm)],[112]) ).
fof(114,plain,
! [X2] :
( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ~ equal(szszuzczcdt0(X2),sz00)
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[113]) ).
cnf(116,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[114]) ).
fof(175,plain,
! [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)) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(176,plain,
! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ( aSet0(sdtlpdtrp0(xN,X3))
& ! [X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| aElementOf0(X4,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X3)) ) ),
inference(variable_rename,[status(thm)],[175]) ).
fof(177,plain,
! [X3,X4] :
( ( ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| aElementOf0(X4,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X3))
& aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X3)) )
| ~ aElementOf0(X3,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[176]) ).
fof(178,plain,
! [X3,X4] :
( ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) ) ),
inference(distribute,[status(thm)],[177]) ).
cnf(179,plain,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(180,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[178]) ).
fof(4358,plain,
! [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)) ) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(4359,plain,
! [X4,X5] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(X5,X4)
| ( ! [X6] :
( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtlpdtrp0(xN,X5)) )
& aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5)) ) ),
inference(variable_rename,[status(thm)],[4358]) ).
fof(4360,plain,
! [X4,X5,X6] :
( ( ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtlpdtrp0(xN,X5)) )
& aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5)) )
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[4359]) ).
fof(4361,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtlpdtrp0(xN,X5))
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5))
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) ) ),
inference(distribute,[status(thm)],[4360]) ).
cnf(4363,plain,
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X2)) ),
inference(split_conjunct,[status(thm)],[4361]) ).
fof(4364,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(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))
& ~ equal(X2,szmzizndt0(sdtlpdtrp0(xN,X1))) ) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| equal(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))
| aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),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))) ) ) ),
inference(fof_nnf,[status(thm)],[62]) ).
fof(4365,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X3))
| ? [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X3))
& ~ aElementOf0(X4,szNzAzT0) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X3))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
& ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))) ) ) ),
inference(variable_rename,[status(thm)],[4364]) ).
fof(4366,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ( ( ~ aSet0(sdtlpdtrp0(xN,X3))
| ( aElementOf0(esk27_1(X3),sdtlpdtrp0(xN,X3))
& ~ aElementOf0(esk27_1(X3),szNzAzT0) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X3))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
& ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))) ) ) ),
inference(skolemize,[status(esa)],[4365]) ).
fof(4367,plain,
! [X3,X5,X6,X7] :
( ( ( ( ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) )
& ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X3))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3))) )
| ( ( ~ aSet0(sdtlpdtrp0(xN,X3))
| ( aElementOf0(esk27_1(X3),sdtlpdtrp0(xN,X3))
& ~ aElementOf0(esk27_1(X3),szNzAzT0) ) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0) )
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS) ),
inference(shift_quantors,[status(thm)],[4366]) ).
fof(4368,plain,
! [X3,X5,X6,X7] :
( ( aElementOf0(esk27_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk27_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X7,sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk27_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk27_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk27_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk27_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(X6,sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk27_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk27_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk27_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk27_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X3))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X3)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk27_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk27_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X3)),X5)
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk27_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk27_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X3)),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk27_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk27_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk27_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk27_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk27_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk27_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),sdtmndt0(sdtlpdtrp0(xN,X3),szmzizndt0(sdtlpdtrp0(xN,X3))))
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(esk27_1(X3),sdtlpdtrp0(xN,X3))
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aElementOf0(esk27_1(X3),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X3))
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X3))
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS) ),
inference(distribute,[status(thm)],[4367]) ).
cnf(4393,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| X2 != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[4368]) ).
cnf(4402,plain,
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[4368]) ).
fof(4425,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ),
inference(fof_nnf,[status(thm)],[67]) ).
fof(4426,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X4),X3) ),
inference(variable_rename,[status(thm)],[4425]) ).
cnf(4427,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[4426]) ).
fof(4428,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[68]) ).
fof(4429,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[4428]) ).
cnf(4430,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[4429]) ).
fof(4480,negated_conjecture,
? [X1,X2] :
( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& ~ equal(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) )
& equal(szmzizndt0(sdtlpdtrp0(xN,X1)),szmzizndt0(sdtlpdtrp0(xN,X2))) ),
inference(fof_nnf,[status(thm)],[85]) ).
fof(4481,negated_conjecture,
? [X4,X5] :
( aElementOf0(X4,szNzAzT0)
& aElementOf0(X5,szNzAzT0)
& ~ equal(X4,X5)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X6] :
( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X5))
& ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,X5))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X7) )
& equal(szmzizndt0(sdtlpdtrp0(xN,X4)),szmzizndt0(sdtlpdtrp0(xN,X5))) ),
inference(variable_rename,[status(thm)],[4480]) ).
fof(4482,negated_conjecture,
( aElementOf0(esk30_0,szNzAzT0)
& aElementOf0(esk31_0,szNzAzT0)
& ~ equal(esk30_0,esk31_0)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),sdtlpdtrp0(xN,esk30_0))
& ! [X6] :
( ~ aElementOf0(X6,sdtlpdtrp0(xN,esk30_0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),X6) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),sdtlpdtrp0(xN,esk31_0))
& ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,esk31_0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),X7) )
& equal(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),szmzizndt0(sdtlpdtrp0(xN,esk31_0))) ),
inference(skolemize,[status(esa)],[4481]) ).
fof(4483,negated_conjecture,
! [X6,X7] :
( ( ~ aElementOf0(X7,sdtlpdtrp0(xN,esk31_0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),X7) )
& ( ~ aElementOf0(X6,sdtlpdtrp0(xN,esk30_0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),X6) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),sdtlpdtrp0(xN,esk30_0))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),sdtlpdtrp0(xN,esk31_0))
& equal(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),szmzizndt0(sdtlpdtrp0(xN,esk31_0)))
& aElementOf0(esk30_0,szNzAzT0)
& aElementOf0(esk31_0,szNzAzT0)
& ~ equal(esk30_0,esk31_0) ),
inference(shift_quantors,[status(thm)],[4482]) ).
cnf(4484,negated_conjecture,
esk30_0 != esk31_0,
inference(split_conjunct,[status(thm)],[4483]) ).
cnf(4485,negated_conjecture,
aElementOf0(esk31_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[4483]) ).
cnf(4486,negated_conjecture,
aElementOf0(esk30_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[4483]) ).
cnf(4487,negated_conjecture,
szmzizndt0(sdtlpdtrp0(xN,esk30_0)) = szmzizndt0(sdtlpdtrp0(xN,esk31_0)),
inference(split_conjunct,[status(thm)],[4483]) ).
cnf(4488,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),sdtlpdtrp0(xN,esk31_0)),
inference(split_conjunct,[status(thm)],[4483]) ).
cnf(4489,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),sdtlpdtrp0(xN,esk30_0)),
inference(split_conjunct,[status(thm)],[4483]) ).
cnf(4529,negated_conjecture,
aElementOf0(szszuzczcdt0(esk30_0),szNzAzT0),
inference(spm,[status(thm)],[116,4486,theory(equality)]) ).
cnf(4530,negated_conjecture,
aElementOf0(szszuzczcdt0(esk31_0),szNzAzT0),
inference(spm,[status(thm)],[116,4485,theory(equality)]) ).
cnf(4708,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),esk30_0)
| sdtlseqdt0(esk30_0,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[4427,4486,theory(equality)]) ).
cnf(4709,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(X1),esk31_0)
| sdtlseqdt0(esk31_0,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[4427,4485,theory(equality)]) ).
cnf(4716,negated_conjecture,
( X1 = esk30_0
| ~ sdtlseqdt0(esk30_0,X1)
| ~ sdtlseqdt0(X1,esk30_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[4430,4486,theory(equality)]) ).
cnf(4818,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,esk30_0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk30_0))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[4363,4486,theory(equality)]) ).
cnf(4819,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,esk31_0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk31_0))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[4363,4485,theory(equality)]) ).
cnf(5783,plain,
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[4402,180]) ).
cnf(5784,plain,
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[5783,179]) ).
cnf(5785,negated_conjecture,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk30_0),szmzizndt0(sdtlpdtrp0(xN,esk30_0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk30_0))) ),
inference(spm,[status(thm)],[5784,4486,theory(equality)]) ).
cnf(5786,negated_conjecture,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk31_0),szmzizndt0(sdtlpdtrp0(xN,esk31_0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk31_0))) ),
inference(spm,[status(thm)],[5784,4485,theory(equality)]) ).
cnf(5794,negated_conjecture,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk31_0),szmzizndt0(sdtlpdtrp0(xN,esk30_0))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk31_0))) ),
inference(rw,[status(thm)],[5786,4487,theory(equality)]) ).
cnf(5879,plain,
( szmzizndt0(sdtlpdtrp0(xN,X1)) != X2
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[4393,180]) ).
cnf(5880,plain,
( szmzizndt0(sdtlpdtrp0(xN,X1)) != X2
| ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[5879,179]) ).
cnf(5881,plain,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[5880,theory(equality)]) ).
cnf(35258,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(esk31_0),esk30_0)
| sdtlseqdt0(esk30_0,esk31_0) ),
inference(spm,[status(thm)],[4708,4485,theory(equality)]) ).
cnf(35339,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(esk30_0),esk31_0)
| sdtlseqdt0(esk31_0,esk30_0) ),
inference(spm,[status(thm)],[4709,4486,theory(equality)]) ).
cnf(57349,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk31_0)))
| sdtlseqdt0(esk30_0,esk31_0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk30_0))
| ~ aElementOf0(szszuzczcdt0(esk31_0),szNzAzT0) ),
inference(spm,[status(thm)],[4818,35258,theory(equality)]) ).
cnf(57362,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk31_0)))
| sdtlseqdt0(esk30_0,esk31_0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk30_0))
| $false ),
inference(rw,[status(thm)],[57349,4530,theory(equality)]) ).
cnf(57363,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk31_0)))
| sdtlseqdt0(esk30_0,esk31_0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk30_0)) ),
inference(cn,[status(thm)],[57362,theory(equality)]) ).
cnf(299885,negated_conjecture,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),sdtmndt0(sdtlpdtrp0(xN,esk30_0),szmzizndt0(sdtlpdtrp0(xN,esk30_0)))),
inference(spm,[status(thm)],[5881,4486,theory(equality)]) ).
cnf(299886,negated_conjecture,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk31_0)),sdtmndt0(sdtlpdtrp0(xN,esk31_0),szmzizndt0(sdtlpdtrp0(xN,esk31_0)))),
inference(spm,[status(thm)],[5881,4485,theory(equality)]) ).
cnf(300435,negated_conjecture,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),sdtmndt0(sdtlpdtrp0(xN,esk31_0),szmzizndt0(sdtlpdtrp0(xN,esk30_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[299886,4487,theory(equality)]),4487,theory(equality)]) ).
cnf(423215,negated_conjecture,
( sdtlseqdt0(esk30_0,esk31_0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),sdtlpdtrp0(xN,szszuzczcdt0(esk31_0))) ),
inference(spm,[status(thm)],[57363,4489,theory(equality)]) ).
cnf(423459,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),sdtmndt0(sdtlpdtrp0(xN,esk31_0),szmzizndt0(sdtlpdtrp0(xN,esk30_0))))
| sdtlseqdt0(esk30_0,esk31_0) ),
inference(spm,[status(thm)],[5794,423215,theory(equality)]) ).
cnf(423472,negated_conjecture,
sdtlseqdt0(esk30_0,esk31_0),
inference(sr,[status(thm)],[423459,300435,theory(equality)]) ).
cnf(423473,negated_conjecture,
( esk31_0 = esk30_0
| ~ sdtlseqdt0(esk31_0,esk30_0)
| ~ aElementOf0(esk31_0,szNzAzT0) ),
inference(spm,[status(thm)],[4716,423472,theory(equality)]) ).
cnf(423524,negated_conjecture,
( esk31_0 = esk30_0
| ~ sdtlseqdt0(esk31_0,esk30_0)
| $false ),
inference(rw,[status(thm)],[423473,4485,theory(equality)]) ).
cnf(423525,negated_conjecture,
( esk31_0 = esk30_0
| ~ sdtlseqdt0(esk31_0,esk30_0) ),
inference(cn,[status(thm)],[423524,theory(equality)]) ).
cnf(423526,negated_conjecture,
~ sdtlseqdt0(esk31_0,esk30_0),
inference(sr,[status(thm)],[423525,4484,theory(equality)]) ).
cnf(423541,negated_conjecture,
sdtlseqdt0(szszuzczcdt0(esk30_0),esk31_0),
inference(sr,[status(thm)],[35339,423526,theory(equality)]) ).
cnf(423550,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk30_0)))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk31_0))
| ~ aElementOf0(szszuzczcdt0(esk30_0),szNzAzT0) ),
inference(spm,[status(thm)],[4819,423541,theory(equality)]) ).
cnf(423559,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk30_0)))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk31_0))
| $false ),
inference(rw,[status(thm)],[423550,4529,theory(equality)]) ).
cnf(423560,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk30_0)))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk31_0)) ),
inference(cn,[status(thm)],[423559,theory(equality)]) ).
cnf(427863,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),sdtlpdtrp0(xN,szszuzczcdt0(esk30_0))),
inference(spm,[status(thm)],[423560,4488,theory(equality)]) ).
cnf(428083,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk30_0)),sdtmndt0(sdtlpdtrp0(xN,esk30_0),szmzizndt0(sdtlpdtrp0(xN,esk30_0)))),
inference(spm,[status(thm)],[5785,427863,theory(equality)]) ).
cnf(428096,negated_conjecture,
$false,
inference(sr,[status(thm)],[428083,299885,theory(equality)]) ).
cnf(428097,negated_conjecture,
$false,
428096,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM575+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n117.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 5 09:26:30 CST 2018
% 0.03/0.24 % CPUTime :
% 0.07/0.35 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.36 --creating new selector for []
% 29.05/29.46 eprover: CPU time limit exceeded, terminating
% 70.82/71.63 -running prover on /export/starexec/sandbox2/tmp/tmpSuc59L/sel_theBenchmark.p_1 with time limit 29
% 70.82/71.63 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpSuc59L/sel_theBenchmark.p_1']
% 70.82/71.63 -prover status ResourceOut
% 70.82/71.63 -running prover on /export/starexec/sandbox2/tmp/tmpSuc59L/sel_theBenchmark.p_2 with time limit 81
% 70.82/71.63 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=81', '/export/starexec/sandbox2/tmp/tmpSuc59L/sel_theBenchmark.p_2']
% 70.82/71.63 -prover status Theorem
% 70.82/71.63 Problem theBenchmark.p solved in phase 1.
% 70.82/71.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 70.82/71.63 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 70.82/71.63 Solved 1 out of 1.
% 70.82/71.63 # Problem is unsatisfiable (or provable), constructing proof object
% 70.82/71.63 # SZS status Theorem
% 70.82/71.63 # SZS output start CNFRefutation.
% See solution above
% 70.82/71.66 # SZS output end CNFRefutation
%------------------------------------------------------------------------------