TSTP Solution File: NUM629+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM629+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n039.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 15:22:03 EST 2018
% Result : Theorem 5.04s
% Output : CNFRefutation 5.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of formulae : 104 ( 25 unt; 0 def)
% Number of atoms : 570 ( 13 equ)
% Maximal formula atoms : 52 ( 5 avg)
% Number of connectives : 758 ( 292 ~; 315 |; 134 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 13 con; 0-3 aty)
% Number of variables : 139 ( 0 sgn 96 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpSynPN2/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/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',mDefSub) ).
fof(11,axiom,
( aSet0(xO)
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
file('/export/starexec/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',m__4891) ).
fof(13,axiom,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> equal(sdtlpdtrp0(xe,X1),szmzizndt0(sdtlpdtrp0(xN,X1))) ) ),
file('/export/starexec/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',m__4660) ).
fof(19,conjecture,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
file('/export/starexec/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',m__) ).
fof(20,axiom,
( aElementOf0(xk,szNzAzT0)
& equal(szszuzczcdt0(xk),xK) ),
file('/export/starexec/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',m__3533) ).
fof(30,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',mEOfElem) ).
fof(32,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/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',mDefDiff) ).
fof(46,axiom,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',m__5334) ).
fof(56,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/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',mDefSel) ).
fof(76,axiom,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(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/tmpSynPN2/sel_theBenchmark.p_1',m__3623) ).
fof(81,axiom,
equal(sbrdtbr0(xP),xk),
file('/export/starexec/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',m__5217) ).
fof(85,axiom,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& equal(sdtlpdtrp0(xe,xn),xp) ),
file('/export/starexec/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',m__5309) ).
fof(91,axiom,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',m__5182) ).
fof(92,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',mNATSet) ).
fof(97,axiom,
equal(xD,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
file('/export/starexec/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',m__5585) ).
fof(109,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1',mSubTrans) ).
fof(116,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(assume_negation,[status(cth)],[19]) ).
fof(118,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(fof_simplification,[status(thm)],[116,theory(equality)]) ).
fof(147,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(148,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X2)) ) ),
inference(variable_rename,[status(thm)],[147]) ).
fof(149,plain,
! [X2] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[148]) ).
cnf(150,plain,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(151,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[149]) ).
fof(156,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(157,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)],[156]) ).
fof(158,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)],[157]) ).
fof(159,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)],[158]) ).
fof(160,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)],[159]) ).
cnf(163,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[160]) ).
cnf(182,plain,
aSet0(xO),
inference(split_conjunct,[status(thm)],[11]) ).
fof(192,plain,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| equal(sdtlpdtrp0(xe,X1),szmzizndt0(sdtlpdtrp0(xN,X1))) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(193,plain,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| equal(sdtlpdtrp0(xe,X2),szmzizndt0(sdtlpdtrp0(xN,X2))) ) ),
inference(variable_rename,[status(thm)],[192]) ).
fof(194,plain,
! [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| equal(sdtlpdtrp0(xe,X2),szmzizndt0(sdtlpdtrp0(xN,X2))) )
& aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[193]) ).
cnf(197,plain,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[194]) ).
cnf(214,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(split_conjunct,[status(thm)],[118]) ).
cnf(216,plain,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[20]) ).
fof(257,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(258,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[257]) ).
fof(259,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[258]) ).
cnf(260,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[259]) ).
fof(266,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)],[32]) ).
fof(267,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)],[266]) ).
fof(268,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)],[267]) ).
fof(269,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)],[268]) ).
fof(270,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)],[269]) ).
cnf(275,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[270]) ).
cnf(326,plain,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[46]) ).
fof(376,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)],[56]) ).
fof(377,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)],[376]) ).
fof(378,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)],[377]) ).
fof(379,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)],[378]) ).
fof(380,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)],[379]) ).
cnf(385,plain,
( aElementOf0(X4,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[380]) ).
fof(462,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(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)],[76]) ).
fof(463,plain,
( aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS)
& ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2))) ) ) ),
inference(variable_rename,[status(thm)],[462]) ).
fof(464,plain,
! [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2))) ) )
& aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS) ),
inference(shift_quantors,[status(thm)],[463]) ).
fof(465,plain,
! [X2] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) )
& aFunction0(xN)
& equal(szDzozmdt0(xN),szNzAzT0)
& equal(sdtlpdtrp0(xN,sz00),xS) ),
inference(distribute,[status(thm)],[464]) ).
cnf(470,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[465]) ).
cnf(484,plain,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[81]) ).
cnf(491,plain,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[85]) ).
cnf(492,plain,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[85]) ).
cnf(512,plain,
aElementOf0(xp,xO),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(514,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(525,plain,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(split_conjunct,[status(thm)],[97]) ).
fof(567,plain,
! [X1,X2,X3] :
( ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| aSubsetOf0(X1,X3) ),
inference(fof_nnf,[status(thm)],[109]) ).
fof(568,plain,
! [X4,X5,X6] :
( ~ aSet0(X4)
| ~ aSet0(X5)
| ~ aSet0(X6)
| ~ aSubsetOf0(X4,X5)
| ~ aSubsetOf0(X5,X6)
| aSubsetOf0(X4,X6) ),
inference(variable_rename,[status(thm)],[567]) ).
cnf(569,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[568]) ).
cnf(655,plain,
( aElement0(xp)
| ~ aSet0(xO) ),
inference(spm,[status(thm)],[260,512,theory(equality)]) ).
cnf(671,plain,
( aElement0(xp)
| $false ),
inference(rw,[status(thm)],[655,182,theory(equality)]) ).
cnf(672,plain,
aElement0(xp),
inference(cn,[status(thm)],[671,theory(equality)]) ).
cnf(807,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[163,151,theory(equality)]) ).
cnf(811,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| $false
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[807,514,theory(equality)]) ).
cnf(812,plain,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[811,theory(equality)]) ).
cnf(899,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[275,theory(equality)]) ).
cnf(981,plain,
( sdtmndt0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xe,xn)) = xD
| ~ aElementOf0(xn,szNzAzT0) ),
inference(spm,[status(thm)],[525,197,theory(equality)]) ).
cnf(983,plain,
( sdtmndt0(sdtlpdtrp0(xN,xn),xp) = xD
| ~ aElementOf0(xn,szNzAzT0) ),
inference(rw,[status(thm)],[981,491,theory(equality)]) ).
cnf(984,plain,
( sdtmndt0(sdtlpdtrp0(xN,xn),xp) = xD
| $false ),
inference(rw,[status(thm)],[983,492,theory(equality)]) ).
cnf(985,plain,
sdtmndt0(sdtlpdtrp0(xN,xn),xp) = xD,
inference(cn,[status(thm)],[984,theory(equality)]) ).
cnf(1352,plain,
( aElementOf0(X1,slbdtsldtrb0(X2,X3))
| sbrdtbr0(X1) != X3
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(er,[status(thm)],[385,theory(equality)]) ).
cnf(1400,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[569,163]) ).
cnf(1401,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[1400,163]) ).
cnf(1994,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[470,151]) ).
cnf(1995,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[1994,150]) ).
cnf(1998,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(spm,[status(thm)],[1995,525,theory(equality)]) ).
cnf(2013,plain,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD)
| $false ),
inference(rw,[status(thm)],[1998,492,theory(equality)]) ).
cnf(2014,plain,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD),
inference(cn,[status(thm)],[2013,theory(equality)]) ).
cnf(3946,plain,
( aSubsetOf0(X1,xD)
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSet0(xD) ),
inference(spm,[status(thm)],[1401,2014,theory(equality)]) ).
cnf(5865,plain,
( aSet0(xD)
| ~ aElement0(xp)
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(spm,[status(thm)],[899,985,theory(equality)]) ).
cnf(5871,plain,
( aSet0(xD)
| $false
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(rw,[status(thm)],[5865,672,theory(equality)]) ).
cnf(5872,plain,
( aSet0(xD)
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(cn,[status(thm)],[5871,theory(equality)]) ).
cnf(5926,plain,
( aSet0(xD)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(spm,[status(thm)],[5872,812,theory(equality)]) ).
cnf(5927,plain,
( aSet0(xD)
| $false ),
inference(rw,[status(thm)],[5926,492,theory(equality)]) ).
cnf(5928,plain,
aSet0(xD),
inference(cn,[status(thm)],[5927,theory(equality)]) ).
cnf(21157,negated_conjecture,
( sbrdtbr0(xP) != xk
| ~ aSubsetOf0(xP,xD)
| ~ aSet0(xD)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(spm,[status(thm)],[214,1352,theory(equality)]) ).
cnf(21190,negated_conjecture,
( $false
| ~ aSubsetOf0(xP,xD)
| ~ aSet0(xD)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(rw,[status(thm)],[21157,484,theory(equality)]) ).
cnf(21191,negated_conjecture,
( $false
| ~ aSubsetOf0(xP,xD)
| $false
| ~ aElementOf0(xk,szNzAzT0) ),
inference(rw,[status(thm)],[21190,5928,theory(equality)]) ).
cnf(21192,negated_conjecture,
( $false
| ~ aSubsetOf0(xP,xD)
| $false
| $false ),
inference(rw,[status(thm)],[21191,216,theory(equality)]) ).
cnf(21193,negated_conjecture,
~ aSubsetOf0(xP,xD),
inference(cn,[status(thm)],[21192,theory(equality)]) ).
cnf(120268,plain,
( aSubsetOf0(X1,xD)
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| $false ),
inference(rw,[status(thm)],[3946,5928,theory(equality)]) ).
cnf(120269,plain,
( aSubsetOf0(X1,xD)
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(cn,[status(thm)],[120268,theory(equality)]) ).
cnf(120270,plain,
aSubsetOf0(xP,xD),
inference(spm,[status(thm)],[120269,326,theory(equality)]) ).
cnf(120287,plain,
$false,
inference(sr,[status(thm)],[120270,21193,theory(equality)]) ).
cnf(120288,plain,
$false,
120287,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM629+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 : n039.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 11:18:45 CST 2018
% 0.02/0.22 % CPUTime :
% 0.05/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.05/0.27 --creating new selector for []
% 5.04/5.29 -running prover on /export/starexec/sandbox2/tmp/tmpSynPN2/sel_theBenchmark.p_1 with time limit 29
% 5.04/5.29 -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/tmpSynPN2/sel_theBenchmark.p_1']
% 5.04/5.29 -prover status Theorem
% 5.04/5.29 Problem theBenchmark.p solved in phase 0.
% 5.04/5.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.04/5.29 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.04/5.29 Solved 1 out of 1.
% 5.04/5.29 # Problem is unsatisfiable (or provable), constructing proof object
% 5.04/5.29 # SZS status Theorem
% 5.04/5.29 # SZS output start CNFRefutation.
% See solution above
% 5.04/5.29 # SZS output end CNFRefutation
%------------------------------------------------------------------------------