TSTP Solution File: NUM588+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM588+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n114.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 15:21:54 EST 2018
% Result : Theorem 10.18s
% Output : CNFRefutation 10.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 12
% Syntax : Number of formulae : 128 ( 15 unt; 0 def)
% Number of atoms : 719 ( 30 equ)
% Maximal formula atoms : 52 ( 5 avg)
% Number of connectives : 977 ( 386 ~; 416 |; 150 &)
% ( 7 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 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 : 212 ( 0 sgn 125 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& ~ equal(X1,slcrc0) )
=> ! [X2] :
( equal(X2,szmzizndt0(X1))
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpe2SE98/sel_theBenchmark.p_1',mDefMin) ).
fof(5,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpe2SE98/sel_theBenchmark.p_1',m__3671) ).
fof(7,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpe2SE98/sel_theBenchmark.p_1',mDefSub) ).
fof(15,conjecture,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(X2) )
=> ! [X3] :
( ( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpe2SE98/sel_theBenchmark.p_1',m__) ).
fof(16,axiom,
( aElementOf0(xk,szNzAzT0)
& equal(szszuzczcdt0(xk),xK) ),
file('/export/starexec/sandbox/tmp/tmpe2SE98/sel_theBenchmark.p_1',m__3533) ).
fof(23,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmpe2SE98/sel_theBenchmark.p_1',mEOfElem) ).
fof(25,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( equal(X3,sdtmndt0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpe2SE98/sel_theBenchmark.p_1',mDefDiff) ).
fof(45,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( equal(X3,slbdtsldtrb0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpe2SE98/sel_theBenchmark.p_1',mDefSel) ).
fof(70,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ equal(X1,slcrc0) ),
file('/export/starexec/sandbox/tmp/tmpe2SE98/sel_theBenchmark.p_1',mCountNFin_01) ).
fof(71,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmpe2SE98/sel_theBenchmark.p_1',mNATSet) ).
fof(81,axiom,
! [X1] :
( equal(X1,slcrc0)
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmpe2SE98/sel_theBenchmark.p_1',mDefEmp) ).
fof(83,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmpe2SE98/sel_theBenchmark.p_1',mSubTrans) ).
fof(89,negated_conjecture,
~ ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(X2) )
=> ! [X3] :
( ( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ),
inference(assume_negation,[status(cth)],[15]) ).
fof(110,plain,
! [X1] :
( ~ aSubsetOf0(X1,szNzAzT0)
| equal(X1,slcrc0)
| ! [X2] :
( ( ~ equal(X2,szmzizndt0(X1))
| ( aElementOf0(X2,X1)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| sdtlseqdt0(X2,X3) ) ) )
& ( ~ aElementOf0(X2,X1)
| ? [X3] :
( aElementOf0(X3,X1)
& ~ sdtlseqdt0(X2,X3) )
| equal(X2,szmzizndt0(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(111,plain,
! [X4] :
( ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0)
| ! [X5] :
( ( ~ equal(X5,szmzizndt0(X4))
| ( aElementOf0(X5,X4)
& ! [X6] :
( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6) ) ) )
& ( ~ aElementOf0(X5,X4)
| ? [X7] :
( aElementOf0(X7,X4)
& ~ sdtlseqdt0(X5,X7) )
| equal(X5,szmzizndt0(X4)) ) ) ),
inference(variable_rename,[status(thm)],[110]) ).
fof(112,plain,
! [X4] :
( ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0)
| ! [X5] :
( ( ~ equal(X5,szmzizndt0(X4))
| ( aElementOf0(X5,X4)
& ! [X6] :
( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6) ) ) )
& ( ~ aElementOf0(X5,X4)
| ( aElementOf0(esk1_2(X4,X5),X4)
& ~ sdtlseqdt0(X5,esk1_2(X4,X5)) )
| equal(X5,szmzizndt0(X4)) ) ) ),
inference(skolemize,[status(esa)],[111]) ).
fof(113,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6) )
& aElementOf0(X5,X4) )
| ~ equal(X5,szmzizndt0(X4)) )
& ( ~ aElementOf0(X5,X4)
| ( aElementOf0(esk1_2(X4,X5),X4)
& ~ sdtlseqdt0(X5,esk1_2(X4,X5)) )
| equal(X5,szmzizndt0(X4)) ) )
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) ),
inference(shift_quantors,[status(thm)],[112]) ).
fof(114,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6)
| ~ equal(X5,szmzizndt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) )
& ( aElementOf0(X5,X4)
| ~ equal(X5,szmzizndt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) )
& ( aElementOf0(esk1_2(X4,X5),X4)
| ~ aElementOf0(X5,X4)
| equal(X5,szmzizndt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) )
& ( ~ sdtlseqdt0(X5,esk1_2(X4,X5))
| ~ aElementOf0(X5,X4)
| equal(X5,szmzizndt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| equal(X4,slcrc0) ) ),
inference(distribute,[status(thm)],[113]) ).
cnf(117,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzizndt0(X1) ),
inference(split_conjunct,[status(thm)],[114]) ).
fof(119,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(120,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X2)) ) ),
inference(variable_rename,[status(thm)],[119]) ).
fof(121,plain,
! [X2] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[120]) ).
cnf(122,plain,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(123,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[121]) ).
fof(128,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ( ~ aSubsetOf0(X2,X1)
| ( aSet0(X2)
& ! [X3] :
( ~ aElementOf0(X3,X2)
| aElementOf0(X3,X1) ) ) )
& ( ~ aSet0(X2)
| ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,X1) )
| aSubsetOf0(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(129,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ? [X7] :
( aElementOf0(X7,X5)
& ~ aElementOf0(X7,X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(variable_rename,[status(thm)],[128]) ).
fof(130,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk2_2(X4,X5),X5)
& ~ aElementOf0(esk2_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[129]) ).
fof(131,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) )
& aSet0(X5) )
| ~ aSubsetOf0(X5,X4) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk2_2(X4,X5),X5)
& ~ aElementOf0(esk2_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) )
| ~ aSet0(X4) ),
inference(shift_quantors,[status(thm)],[130]) ).
fof(132,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk2_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk2_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[131]) ).
cnf(135,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[132]) ).
cnf(136,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[132]) ).
fof(167,negated_conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& ? [X2] :
( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(X2)
& ? [X3] :
( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ~ aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ),
inference(fof_nnf,[status(thm)],[89]) ).
fof(168,negated_conjecture,
? [X4] :
( aElementOf0(X4,szNzAzT0)
& ? [X5] :
( aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& isCountable0(X5)
& ? [X6] :
( aSet0(X6)
& aElementOf0(X6,slbdtsldtrb0(X5,xk))
& ~ aElementOf0(X6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)) ) ) ),
inference(variable_rename,[status(thm)],[167]) ).
fof(169,negated_conjecture,
( aElementOf0(esk5_0,szNzAzT0)
& aSubsetOf0(esk6_0,sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0))))
& isCountable0(esk6_0)
& aSet0(esk7_0)
& aElementOf0(esk7_0,slbdtsldtrb0(esk6_0,xk))
& ~ aElementOf0(esk7_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0))),xk)) ),
inference(skolemize,[status(esa)],[168]) ).
cnf(170,negated_conjecture,
~ aElementOf0(esk7_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0))),xk)),
inference(split_conjunct,[status(thm)],[169]) ).
cnf(171,negated_conjecture,
aElementOf0(esk7_0,slbdtsldtrb0(esk6_0,xk)),
inference(split_conjunct,[status(thm)],[169]) ).
cnf(174,negated_conjecture,
aSubsetOf0(esk6_0,sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0)))),
inference(split_conjunct,[status(thm)],[169]) ).
cnf(175,negated_conjecture,
aElementOf0(esk5_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[169]) ).
cnf(177,plain,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[16]) ).
fof(208,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(209,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[208]) ).
fof(210,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[209]) ).
cnf(211,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[210]) ).
fof(217,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElement0(X2)
| ! [X3] :
( ( ~ equal(X3,sdtmndt0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) )
& ( ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| equal(X4,X2)
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| equal(X4,X2) )
& ( aElementOf0(X4,X3)
| ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) ) )
| equal(X3,sdtmndt0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(218,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtmndt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aElement0(X9)
| ~ aElementOf0(X9,X5)
| equal(X9,X6) )
& ( aElementOf0(X9,X7)
| ( aElement0(X9)
& aElementOf0(X9,X5)
& ~ equal(X9,X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[217]) ).
fof(219,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtmndt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aElement0(esk9_3(X5,X6,X7))
| ~ aElementOf0(esk9_3(X5,X6,X7),X5)
| equal(esk9_3(X5,X6,X7),X6) )
& ( aElementOf0(esk9_3(X5,X6,X7),X7)
| ( aElement0(esk9_3(X5,X6,X7))
& aElementOf0(esk9_3(X5,X6,X7),X5)
& ~ equal(esk9_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[218]) ).
fof(220,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,sdtmndt0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aElement0(esk9_3(X5,X6,X7))
| ~ aElementOf0(esk9_3(X5,X6,X7),X5)
| equal(esk9_3(X5,X6,X7),X6) )
& ( aElementOf0(esk9_3(X5,X6,X7),X7)
| ( aElement0(esk9_3(X5,X6,X7))
& aElementOf0(esk9_3(X5,X6,X7),X5)
& ~ equal(esk9_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[219]) ).
fof(221,plain,
! [X5,X6,X7,X8] :
( ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(X8,X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aSet0(X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aElement0(esk9_3(X5,X6,X7))
| ~ aElementOf0(esk9_3(X5,X6,X7),X5)
| equal(esk9_3(X5,X6,X7),X6)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk9_3(X5,X6,X7))
| aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk9_3(X5,X6,X7),X5)
| aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk9_3(X5,X6,X7),X6)
| aElementOf0(esk9_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[220]) ).
cnf(226,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[221]) ).
fof(322,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| ! [X3] :
( ( ~ equal(X3,slbdtsldtrb0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) )
& ( ~ aSubsetOf0(X4,X1)
| ~ equal(sbrdtbr0(X4),X2)
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aSubsetOf0(X4,X1)
| ~ equal(sbrdtbr0(X4),X2) )
& ( aElementOf0(X4,X3)
| ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) ) )
| equal(X3,slbdtsldtrb0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[45]) ).
fof(323,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0)
| ! [X7] :
( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aSubsetOf0(X9,X5)
| ~ equal(sbrdtbr0(X9),X6) )
& ( aElementOf0(X9,X7)
| ( aSubsetOf0(X9,X5)
& equal(sbrdtbr0(X9),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[322]) ).
fof(324,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0)
| ! [X7] :
( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk17_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[323]) ).
fof(325,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,slbdtsldtrb0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk17_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[324]) ).
fof(326,plain,
! [X5,X6,X7,X8] :
( ( aSubsetOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(X8),X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSet0(X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
| aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6)
| aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ) ),
inference(distribute,[status(thm)],[325]) ).
cnf(331,plain,
( aElementOf0(X4,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[326]) ).
cnf(332,plain,
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[326]) ).
cnf(333,plain,
( aSubsetOf0(X4,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[326]) ).
fof(430,plain,
! [X1] :
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ equal(X1,slcrc0) ),
inference(fof_nnf,[status(thm)],[70]) ).
fof(431,plain,
! [X2] :
( ~ aSet0(X2)
| ~ isCountable0(X2)
| ~ equal(X2,slcrc0) ),
inference(variable_rename,[status(thm)],[430]) ).
cnf(432,plain,
( X1 != slcrc0
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[431]) ).
cnf(434,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[71]) ).
fof(470,plain,
! [X1] :
( ( ~ equal(X1,slcrc0)
| ( aSet0(X1)
& ! [X2] : ~ aElementOf0(X2,X1) ) )
& ( ~ aSet0(X1)
| ? [X2] : aElementOf0(X2,X1)
| equal(X1,slcrc0) ) ),
inference(fof_nnf,[status(thm)],[81]) ).
fof(471,plain,
! [X3] :
( ( ~ equal(X3,slcrc0)
| ( aSet0(X3)
& ! [X4] : ~ aElementOf0(X4,X3) ) )
& ( ~ aSet0(X3)
| ? [X5] : aElementOf0(X5,X3)
| equal(X3,slcrc0) ) ),
inference(variable_rename,[status(thm)],[470]) ).
fof(472,plain,
! [X3] :
( ( ~ equal(X3,slcrc0)
| ( aSet0(X3)
& ! [X4] : ~ aElementOf0(X4,X3) ) )
& ( ~ aSet0(X3)
| aElementOf0(esk23_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(skolemize,[status(esa)],[471]) ).
fof(473,plain,
! [X3,X4] :
( ( ( ~ aElementOf0(X4,X3)
& aSet0(X3) )
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk23_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(shift_quantors,[status(thm)],[472]) ).
fof(474,plain,
! [X3,X4] :
( ( ~ aElementOf0(X4,X3)
| ~ equal(X3,slcrc0) )
& ( aSet0(X3)
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk23_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(distribute,[status(thm)],[473]) ).
cnf(476,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[474]) ).
fof(481,plain,
! [X1,X2,X3] :
( ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| aSubsetOf0(X1,X3) ),
inference(fof_nnf,[status(thm)],[83]) ).
fof(482,plain,
! [X4,X5,X6] :
( ~ aSet0(X4)
| ~ aSet0(X5)
| ~ aSet0(X6)
| ~ aSubsetOf0(X4,X5)
| ~ aSubsetOf0(X5,X6)
| aSubsetOf0(X4,X6) ),
inference(variable_rename,[status(thm)],[481]) ).
cnf(483,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[482]) ).
cnf(518,plain,
( slcrc0 != X1
| ~ isCountable0(X1) ),
inference(csr,[status(thm)],[432,476]) ).
cnf(523,plain,
( slcrc0 != sdtlpdtrp0(xN,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[518,122,theory(equality)]) ).
cnf(528,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[135,123,theory(equality)]) ).
cnf(532,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| $false
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[528,434,theory(equality)]) ).
cnf(533,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[532,theory(equality)]) ).
cnf(534,negated_conjecture,
( aSet0(esk6_0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0)))) ),
inference(spm,[status(thm)],[135,174,theory(equality)]) ).
cnf(617,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[136,123,theory(equality)]) ).
cnf(622,plain,
( aElementOf0(X1,szNzAzT0)
| $false
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(rw,[status(thm)],[617,434,theory(equality)]) ).
cnf(623,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cn,[status(thm)],[622,theory(equality)]) ).
cnf(642,plain,
( slcrc0 = X1
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[117,theory(equality)]) ).
cnf(668,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[226,theory(equality)]) ).
cnf(703,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[483,135]) ).
cnf(704,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[703,135]) ).
cnf(706,negated_conjecture,
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0))))
| ~ aSubsetOf0(X1,esk6_0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0)))) ),
inference(spm,[status(thm)],[704,174,theory(equality)]) ).
cnf(726,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3)) ),
inference(er,[status(thm)],[333,theory(equality)]) ).
cnf(846,plain,
( sbrdtbr0(X1) = X2
| ~ aSet0(X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X3,X2)) ),
inference(er,[status(thm)],[332,theory(equality)]) ).
cnf(922,plain,
( aElementOf0(X1,slbdtsldtrb0(X2,X3))
| sbrdtbr0(X1) != X3
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(er,[status(thm)],[331,theory(equality)]) ).
cnf(1740,plain,
( aElement0(szmzizndt0(X1))
| slcrc0 = X1
| ~ aSet0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[211,642,theory(equality)]) ).
cnf(1859,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
inference(spm,[status(thm)],[623,642,theory(equality)]) ).
cnf(1899,negated_conjecture,
( aSet0(esk6_0)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,esk5_0)))
| ~ aSet0(sdtlpdtrp0(xN,esk5_0)) ),
inference(spm,[status(thm)],[534,668,theory(equality)]) ).
cnf(2457,negated_conjecture,
( aSet0(esk6_0)
| slcrc0 = sdtlpdtrp0(xN,esk5_0)
| ~ aSet0(sdtlpdtrp0(xN,esk5_0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk5_0),szNzAzT0) ),
inference(spm,[status(thm)],[1899,1740,theory(equality)]) ).
cnf(2468,plain,
( sdtlpdtrp0(xN,esk5_0) = slcrc0
| aSet0(esk6_0)
| ~ aSet0(sdtlpdtrp0(xN,esk5_0))
| ~ aElementOf0(esk5_0,szNzAzT0) ),
inference(spm,[status(thm)],[2457,123,theory(equality)]) ).
cnf(2471,plain,
( sdtlpdtrp0(xN,esk5_0) = slcrc0
| aSet0(esk6_0)
| ~ aSet0(sdtlpdtrp0(xN,esk5_0))
| $false ),
inference(rw,[status(thm)],[2468,175,theory(equality)]) ).
cnf(2472,plain,
( sdtlpdtrp0(xN,esk5_0) = slcrc0
| aSet0(esk6_0)
| ~ aSet0(sdtlpdtrp0(xN,esk5_0)) ),
inference(cn,[status(thm)],[2471,theory(equality)]) ).
cnf(2476,plain,
( sdtlpdtrp0(xN,esk5_0) = slcrc0
| aSet0(esk6_0)
| ~ aElementOf0(esk5_0,szNzAzT0) ),
inference(spm,[status(thm)],[2472,533,theory(equality)]) ).
cnf(2477,plain,
( sdtlpdtrp0(xN,esk5_0) = slcrc0
| aSet0(esk6_0)
| $false ),
inference(rw,[status(thm)],[2476,175,theory(equality)]) ).
cnf(2478,plain,
( sdtlpdtrp0(xN,esk5_0) = slcrc0
| aSet0(esk6_0) ),
inference(cn,[status(thm)],[2477,theory(equality)]) ).
cnf(2495,plain,
( aSet0(esk6_0)
| ~ aElementOf0(esk5_0,szNzAzT0) ),
inference(spm,[status(thm)],[523,2478,theory(equality)]) ).
cnf(2544,plain,
( aSet0(esk6_0)
| $false ),
inference(rw,[status(thm)],[2495,175,theory(equality)]) ).
cnf(2545,plain,
aSet0(esk6_0),
inference(cn,[status(thm)],[2544,theory(equality)]) ).
cnf(2643,negated_conjecture,
( aSubsetOf0(esk7_0,esk6_0)
| ~ aSet0(esk6_0)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(spm,[status(thm)],[726,171,theory(equality)]) ).
cnf(2654,negated_conjecture,
( aSubsetOf0(esk7_0,esk6_0)
| $false
| ~ aElementOf0(xk,szNzAzT0) ),
inference(rw,[status(thm)],[2643,2545,theory(equality)]) ).
cnf(2655,negated_conjecture,
( aSubsetOf0(esk7_0,esk6_0)
| $false
| $false ),
inference(rw,[status(thm)],[2654,177,theory(equality)]) ).
cnf(2656,negated_conjecture,
aSubsetOf0(esk7_0,esk6_0),
inference(cn,[status(thm)],[2655,theory(equality)]) ).
cnf(5744,negated_conjecture,
( sbrdtbr0(esk7_0) = xk
| ~ aSet0(esk6_0)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(spm,[status(thm)],[846,171,theory(equality)]) ).
cnf(5757,negated_conjecture,
( sbrdtbr0(esk7_0) = xk
| $false
| ~ aElementOf0(xk,szNzAzT0) ),
inference(rw,[status(thm)],[5744,2545,theory(equality)]) ).
cnf(5758,negated_conjecture,
( sbrdtbr0(esk7_0) = xk
| $false
| $false ),
inference(rw,[status(thm)],[5757,177,theory(equality)]) ).
cnf(5759,negated_conjecture,
sbrdtbr0(esk7_0) = xk,
inference(cn,[status(thm)],[5758,theory(equality)]) ).
cnf(8339,negated_conjecture,
( aElementOf0(esk7_0,slbdtsldtrb0(X1,X2))
| xk != X2
| ~ aSubsetOf0(esk7_0,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[922,5759,theory(equality)]) ).
cnf(9790,negated_conjecture,
( ~ aSubsetOf0(esk7_0,sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0))))
| ~ aElementOf0(xk,szNzAzT0) ),
inference(spm,[status(thm)],[170,8339,theory(equality)]) ).
cnf(9810,negated_conjecture,
( ~ aSubsetOf0(esk7_0,sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0))))
| $false ),
inference(rw,[status(thm)],[9790,177,theory(equality)]) ).
cnf(9811,negated_conjecture,
( ~ aSubsetOf0(esk7_0,sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0)))) ),
inference(cn,[status(thm)],[9810,theory(equality)]) ).
cnf(54548,plain,
( sdtlpdtrp0(xN,X1) = slcrc0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[1859,123]) ).
cnf(54549,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[54548,523]) ).
cnf(54552,plain,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,X1)))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[211,54549,theory(equality)]) ).
cnf(54603,plain,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,X1)))
| $false
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[54552,434,theory(equality)]) ).
cnf(54604,plain,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[54603,theory(equality)]) ).
cnf(284230,negated_conjecture,
( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0))))
| ~ aSubsetOf0(esk7_0,esk6_0) ),
inference(spm,[status(thm)],[9811,706,theory(equality)]) ).
cnf(284246,negated_conjecture,
( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0))))
| $false ),
inference(rw,[status(thm)],[284230,2656,theory(equality)]) ).
cnf(284247,negated_conjecture,
~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk5_0),szmzizndt0(sdtlpdtrp0(xN,esk5_0)))),
inference(cn,[status(thm)],[284246,theory(equality)]) ).
cnf(284682,negated_conjecture,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,esk5_0)))
| ~ aSet0(sdtlpdtrp0(xN,esk5_0)) ),
inference(spm,[status(thm)],[284247,668,theory(equality)]) ).
cnf(285031,plain,
( ~ aSet0(sdtlpdtrp0(xN,esk5_0))
| ~ aElementOf0(esk5_0,szNzAzT0) ),
inference(spm,[status(thm)],[284682,54604,theory(equality)]) ).
cnf(285050,plain,
( ~ aSet0(sdtlpdtrp0(xN,esk5_0))
| $false ),
inference(rw,[status(thm)],[285031,175,theory(equality)]) ).
cnf(285051,plain,
~ aSet0(sdtlpdtrp0(xN,esk5_0)),
inference(cn,[status(thm)],[285050,theory(equality)]) ).
cnf(285068,plain,
~ aElementOf0(esk5_0,szNzAzT0),
inference(spm,[status(thm)],[285051,533,theory(equality)]) ).
cnf(285079,plain,
$false,
inference(rw,[status(thm)],[285068,175,theory(equality)]) ).
cnf(285080,plain,
$false,
inference(cn,[status(thm)],[285079,theory(equality)]) ).
cnf(285081,plain,
$false,
285080,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM588+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.22 % Computer : n114.star.cs.uiowa.edu
% 0.02/0.22 % Model : x86_64 x86_64
% 0.02/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22 % Memory : 32218.625MB
% 0.02/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.22 % CPULimit : 300
% 0.02/0.22 % DateTime : Fri Jan 5 09:51:30 CST 2018
% 0.02/0.22 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.27 --creating new selector for []
% 10.18/10.40 -running prover on /export/starexec/sandbox/tmp/tmpe2SE98/sel_theBenchmark.p_1 with time limit 29
% 10.18/10.40 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpe2SE98/sel_theBenchmark.p_1']
% 10.18/10.40 -prover status Theorem
% 10.18/10.40 Problem theBenchmark.p solved in phase 0.
% 10.18/10.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.18/10.40 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.18/10.41 Solved 1 out of 1.
% 10.18/10.41 # Problem is unsatisfiable (or provable), constructing proof object
% 10.18/10.41 # SZS status Theorem
% 10.18/10.41 # SZS output start CNFRefutation.
% See solution above
% 10.18/10.41 # SZS output end CNFRefutation
%------------------------------------------------------------------------------