TSTP Solution File: NUM600+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM600+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n122.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 15:21:56 EST 2018
% Result : Theorem 76.65s
% Output : CNFRefutation 76.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 79 ( 12 unt; 0 def)
% Number of atoms : 421 ( 43 equ)
% Maximal formula atoms : 39 ( 5 avg)
% Number of connectives : 594 ( 252 ~; 249 |; 78 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-4 aty)
% Number of variables : 157 ( 0 sgn 84 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpbZ9KEL/sel_theBenchmark.p_2',mDefSub) ).
fof(11,axiom,
( aSet0(xO)
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
file('/export/starexec/sandbox2/tmp/tmpbZ9KEL/sel_theBenchmark.p_2',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/tmpbZ9KEL/sel_theBenchmark.p_2',m__4660) ).
fof(18,conjecture,
! [X1] :
( aElementOf0(X1,xO)
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X2),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpbZ9KEL/sel_theBenchmark.p_2',m__) ).
fof(23,axiom,
( aElementOf0(szDzizrdt0(xd),xT)
& isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/tmp/tmpbZ9KEL/sel_theBenchmark.p_2',m__4854) ).
fof(28,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpbZ9KEL/sel_theBenchmark.p_2',mEOfElem) ).
fof(40,axiom,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox2/tmp/tmpbZ9KEL/sel_theBenchmark.p_2',m__3291) ).
fof(46,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( equal(X3,sdtlcdtrc0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5] :
( aElementOf0(X5,X2)
& equal(sdtlpdtrp0(X1,X5),X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpbZ9KEL/sel_theBenchmark.p_2',mDefSImg) ).
fof(54,axiom,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
=> equal(sdtlpdtrp0(xd,X1),sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpbZ9KEL/sel_theBenchmark.p_2',m__4730) ).
fof(70,axiom,
! [X1,X2] :
( ( aFunction0(X1)
& aElement0(X2) )
=> aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmpbZ9KEL/sel_theBenchmark.p_2',mPttSet) ).
fof(79,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmpbZ9KEL/sel_theBenchmark.p_2',mNATSet) ).
fof(98,negated_conjecture,
~ ! [X1] :
( aElementOf0(X1,xO)
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X2),X1) ) ),
inference(assume_negation,[status(cth)],[18]) ).
fof(137,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(138,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)],[137]) ).
fof(139,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)],[138]) ).
fof(140,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)],[139]) ).
fof(141,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)],[140]) ).
cnf(145,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[141]) ).
cnf(162,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(split_conjunct,[status(thm)],[11]) ).
fof(173,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(174,plain,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| equal(sdtlpdtrp0(xe,X2),szmzizndt0(sdtlpdtrp0(xN,X2))) ) ),
inference(variable_rename,[status(thm)],[173]) ).
fof(175,plain,
! [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| equal(sdtlpdtrp0(xe,X2),szmzizndt0(sdtlpdtrp0(xN,X2))) )
& aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[174]) ).
cnf(176,plain,
szDzozmdt0(xe) = szNzAzT0,
inference(split_conjunct,[status(thm)],[175]) ).
cnf(177,plain,
aFunction0(xe),
inference(split_conjunct,[status(thm)],[175]) ).
fof(193,negated_conjecture,
? [X1] :
( aElementOf0(X1,xO)
& ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ equal(sdtlpdtrp0(xe,X2),X1) ) ),
inference(fof_nnf,[status(thm)],[98]) ).
fof(194,negated_conjecture,
? [X3] :
( aElementOf0(X3,xO)
& ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ equal(sdtlpdtrp0(xe,X4),X3) ) ),
inference(variable_rename,[status(thm)],[193]) ).
fof(195,negated_conjecture,
( aElementOf0(esk7_0,xO)
& ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ equal(sdtlpdtrp0(xe,X4),esk7_0) ) ),
inference(skolemize,[status(esa)],[194]) ).
fof(196,negated_conjecture,
! [X4] :
( ( ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ equal(sdtlpdtrp0(xe,X4),esk7_0) )
& aElementOf0(esk7_0,xO) ),
inference(shift_quantors,[status(thm)],[195]) ).
cnf(197,negated_conjecture,
aElementOf0(esk7_0,xO),
inference(split_conjunct,[status(thm)],[196]) ).
cnf(198,negated_conjecture,
( sdtlpdtrp0(xe,X1) != esk7_0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[196]) ).
cnf(214,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(split_conjunct,[status(thm)],[23]) ).
fof(240,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(241,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[240]) ).
fof(242,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[241]) ).
cnf(243,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[242]) ).
cnf(296,plain,
aSet0(xT),
inference(split_conjunct,[status(thm)],[40]) ).
fof(318,plain,
! [X1] :
( ~ aFunction0(X1)
| ! [X2] :
( ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ! [X3] :
( ( ~ equal(X3,sdtlcdtrc0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ? [X5] :
( aElementOf0(X5,X2)
& equal(sdtlpdtrp0(X1,X5),X4) ) )
& ( ! [X5] :
( ~ aElementOf0(X5,X2)
| ~ equal(sdtlpdtrp0(X1,X5),X4) )
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ! [X5] :
( ~ aElementOf0(X5,X2)
| ~ equal(sdtlpdtrp0(X1,X5),X4) ) )
& ( aElementOf0(X4,X3)
| ? [X5] :
( aElementOf0(X5,X2)
& equal(sdtlpdtrp0(X1,X5),X4) ) ) )
| equal(X3,sdtlcdtrc0(X1,X2)) ) ) ) ),
inference(fof_nnf,[status(thm)],[46]) ).
fof(319,plain,
! [X6] :
( ~ aFunction0(X6)
| ! [X7] :
( ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ! [X8] :
( ( ~ equal(X8,sdtlcdtrc0(X6,X7))
| ( aSet0(X8)
& ! [X9] :
( ( ~ aElementOf0(X9,X8)
| ? [X10] :
( aElementOf0(X10,X7)
& equal(sdtlpdtrp0(X6,X10),X9) ) )
& ( ! [X11] :
( ~ aElementOf0(X11,X7)
| ~ equal(sdtlpdtrp0(X6,X11),X9) )
| aElementOf0(X9,X8) ) ) ) )
& ( ~ aSet0(X8)
| ? [X12] :
( ( ~ aElementOf0(X12,X8)
| ! [X13] :
( ~ aElementOf0(X13,X7)
| ~ equal(sdtlpdtrp0(X6,X13),X12) ) )
& ( aElementOf0(X12,X8)
| ? [X14] :
( aElementOf0(X14,X7)
& equal(sdtlpdtrp0(X6,X14),X12) ) ) )
| equal(X8,sdtlcdtrc0(X6,X7)) ) ) ) ),
inference(variable_rename,[status(thm)],[318]) ).
fof(320,plain,
! [X6] :
( ~ aFunction0(X6)
| ! [X7] :
( ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ! [X8] :
( ( ~ equal(X8,sdtlcdtrc0(X6,X7))
| ( aSet0(X8)
& ! [X9] :
( ( ~ aElementOf0(X9,X8)
| ( aElementOf0(esk12_4(X6,X7,X8,X9),X7)
& equal(sdtlpdtrp0(X6,esk12_4(X6,X7,X8,X9)),X9) ) )
& ( ! [X11] :
( ~ aElementOf0(X11,X7)
| ~ equal(sdtlpdtrp0(X6,X11),X9) )
| aElementOf0(X9,X8) ) ) ) )
& ( ~ aSet0(X8)
| ( ( ~ aElementOf0(esk13_3(X6,X7,X8),X8)
| ! [X13] :
( ~ aElementOf0(X13,X7)
| ~ equal(sdtlpdtrp0(X6,X13),esk13_3(X6,X7,X8)) ) )
& ( aElementOf0(esk13_3(X6,X7,X8),X8)
| ( aElementOf0(esk14_3(X6,X7,X8),X7)
& equal(sdtlpdtrp0(X6,esk14_3(X6,X7,X8)),esk13_3(X6,X7,X8)) ) ) )
| equal(X8,sdtlcdtrc0(X6,X7)) ) ) ) ),
inference(skolemize,[status(esa)],[319]) ).
fof(321,plain,
! [X6,X7,X8,X9,X11,X13] :
( ( ( ( ( ~ aElementOf0(X13,X7)
| ~ equal(sdtlpdtrp0(X6,X13),esk13_3(X6,X7,X8))
| ~ aElementOf0(esk13_3(X6,X7,X8),X8) )
& ( aElementOf0(esk13_3(X6,X7,X8),X8)
| ( aElementOf0(esk14_3(X6,X7,X8),X7)
& equal(sdtlpdtrp0(X6,esk14_3(X6,X7,X8)),esk13_3(X6,X7,X8)) ) ) )
| ~ aSet0(X8)
| equal(X8,sdtlcdtrc0(X6,X7)) )
& ( ( ( ~ aElementOf0(X11,X7)
| ~ equal(sdtlpdtrp0(X6,X11),X9)
| aElementOf0(X9,X8) )
& ( ~ aElementOf0(X9,X8)
| ( aElementOf0(esk12_4(X6,X7,X8,X9),X7)
& equal(sdtlpdtrp0(X6,esk12_4(X6,X7,X8,X9)),X9) ) )
& aSet0(X8) )
| ~ equal(X8,sdtlcdtrc0(X6,X7)) ) )
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) ),
inference(shift_quantors,[status(thm)],[320]) ).
fof(322,plain,
! [X6,X7,X8,X9,X11,X13] :
( ( ~ aElementOf0(X13,X7)
| ~ equal(sdtlpdtrp0(X6,X13),esk13_3(X6,X7,X8))
| ~ aElementOf0(esk13_3(X6,X7,X8),X8)
| ~ aSet0(X8)
| equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( aElementOf0(esk14_3(X6,X7,X8),X7)
| aElementOf0(esk13_3(X6,X7,X8),X8)
| ~ aSet0(X8)
| equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( equal(sdtlpdtrp0(X6,esk14_3(X6,X7,X8)),esk13_3(X6,X7,X8))
| aElementOf0(esk13_3(X6,X7,X8),X8)
| ~ aSet0(X8)
| equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( ~ aElementOf0(X11,X7)
| ~ equal(sdtlpdtrp0(X6,X11),X9)
| aElementOf0(X9,X8)
| ~ equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( aElementOf0(esk12_4(X6,X7,X8,X9),X7)
| ~ aElementOf0(X9,X8)
| ~ equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( equal(sdtlpdtrp0(X6,esk12_4(X6,X7,X8,X9)),X9)
| ~ aElementOf0(X9,X8)
| ~ equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) )
& ( aSet0(X8)
| ~ equal(X8,sdtlcdtrc0(X6,X7))
| ~ aSubsetOf0(X7,szDzozmdt0(X6))
| ~ aFunction0(X6) ) ),
inference(distribute,[status(thm)],[321]) ).
cnf(324,plain,
( sdtlpdtrp0(X1,esk12_4(X1,X2,X3,X4)) = X4
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| X3 != sdtlcdtrc0(X1,X2)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[322]) ).
cnf(325,plain,
( aElementOf0(esk12_4(X1,X2,X3,X4),X2)
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| X3 != sdtlcdtrc0(X1,X2)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[322]) ).
fof(372,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ! [X2] :
( ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
| equal(sdtlpdtrp0(xd,X1),sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)) ) ) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(373,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ! [X4] :
( ~ aSet0(X4)
| ~ aElementOf0(X4,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),xk))
| equal(sdtlpdtrp0(xd,X3),sdtlpdtrp0(sdtlpdtrp0(xC,X3),X4)) ) ) ),
inference(variable_rename,[status(thm)],[372]) ).
fof(374,plain,
! [X3,X4] :
( ( ~ aSet0(X4)
| ~ aElementOf0(X4,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),xk))
| equal(sdtlpdtrp0(xd,X3),sdtlpdtrp0(sdtlpdtrp0(xC,X3),X4))
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[373]) ).
cnf(375,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[374]) ).
cnf(376,plain,
aFunction0(xd),
inference(split_conjunct,[status(thm)],[374]) ).
fof(443,plain,
! [X1,X2] :
( ~ aFunction0(X1)
| ~ aElement0(X2)
| aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1)) ),
inference(fof_nnf,[status(thm)],[70]) ).
fof(444,plain,
! [X3,X4] :
( ~ aFunction0(X3)
| ~ aElement0(X4)
| aSubsetOf0(sdtlbdtrb0(X3,X4),szDzozmdt0(X3)) ),
inference(variable_rename,[status(thm)],[443]) ).
cnf(445,plain,
( aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))
| ~ aElement0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[444]) ).
cnf(478,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(625,plain,
( aElement0(szDzizrdt0(xd))
| ~ aSet0(xT) ),
inference(spm,[status(thm)],[243,214,theory(equality)]) ).
cnf(637,plain,
( aElement0(szDzizrdt0(xd))
| $false ),
inference(rw,[status(thm)],[625,296,theory(equality)]) ).
cnf(638,plain,
aElement0(szDzizrdt0(xd)),
inference(cn,[status(thm)],[637,theory(equality)]) ).
cnf(775,plain,
( aSubsetOf0(sdtlbdtrb0(xd,X1),szNzAzT0)
| ~ aElement0(X1)
| ~ aFunction0(xd) ),
inference(spm,[status(thm)],[445,375,theory(equality)]) ).
cnf(783,plain,
( aSubsetOf0(sdtlbdtrb0(xd,X1),szNzAzT0)
| ~ aElement0(X1)
| $false ),
inference(rw,[status(thm)],[775,376,theory(equality)]) ).
cnf(784,plain,
( aSubsetOf0(sdtlbdtrb0(xd,X1),szNzAzT0)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[783,theory(equality)]) ).
cnf(1292,negated_conjecture,
( sdtlpdtrp0(xe,esk12_4(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)),X2,X3)) != esk7_0
| ~ aElementOf0(esk12_4(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)),X2,X3),szNzAzT0)
| sdtlcdtrc0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) != X2
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(X1))
| ~ aFunction0(X1)
| ~ aElementOf0(X3,X2) ),
inference(spm,[status(thm)],[198,325,theory(equality)]) ).
cnf(2257,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,X2))
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[145,784,theory(equality)]) ).
cnf(2265,plain,
( aElementOf0(X1,szNzAzT0)
| $false
| ~ aElementOf0(X1,sdtlbdtrb0(xd,X2))
| ~ aElement0(X2) ),
inference(rw,[status(thm)],[2257,478,theory(equality)]) ).
cnf(2266,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,X2))
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[2265,theory(equality)]) ).
cnf(2284,plain,
( aElementOf0(esk12_4(X1,sdtlbdtrb0(xd,X2),X3,X4),szNzAzT0)
| ~ aElement0(X2)
| sdtlcdtrc0(X1,sdtlbdtrb0(xd,X2)) != X3
| ~ aSubsetOf0(sdtlbdtrb0(xd,X2),szDzozmdt0(X1))
| ~ aFunction0(X1)
| ~ aElementOf0(X4,X3) ),
inference(spm,[status(thm)],[2266,325,theory(equality)]) ).
cnf(21227,negated_conjecture,
( X2 != esk7_0
| sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) != X1
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))
| ~ aFunction0(xe)
| ~ aElementOf0(esk12_4(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X1,X2),szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(spm,[status(thm)],[1292,324,theory(equality)]) ).
cnf(21229,negated_conjecture,
( X2 != esk7_0
| xO != X1
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))
| ~ aFunction0(xe)
| ~ aElementOf0(esk12_4(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X1,X2),szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(rw,[status(thm)],[21227,162,theory(equality)]) ).
cnf(21230,negated_conjecture,
( X2 != esk7_0
| xO != X1
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ aFunction0(xe)
| ~ aElementOf0(esk12_4(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X1,X2),szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(rw,[status(thm)],[21229,176,theory(equality)]) ).
cnf(21231,negated_conjecture,
( X2 != esk7_0
| xO != X1
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| $false
| ~ aElementOf0(esk12_4(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X1,X2),szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(rw,[status(thm)],[21230,177,theory(equality)]) ).
cnf(21232,negated_conjecture,
( X2 != esk7_0
| xO != X1
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ aElementOf0(esk12_4(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X1,X2),szNzAzT0)
| ~ aElementOf0(X2,X1) ),
inference(cn,[status(thm)],[21231,theory(equality)]) ).
cnf(1112640,plain,
( X1 != esk7_0
| xO != X2
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ aElementOf0(X1,X2)
| sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) != X2
| ~ aElement0(szDzizrdt0(xd))
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))
| ~ aFunction0(xe) ),
inference(spm,[status(thm)],[21232,2284,theory(equality)]) ).
cnf(1112668,plain,
( X1 != esk7_0
| xO != X2
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ aElementOf0(X1,X2)
| xO != X2
| ~ aElement0(szDzizrdt0(xd))
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))
| ~ aFunction0(xe) ),
inference(rw,[status(thm)],[1112640,162,theory(equality)]) ).
cnf(1112669,plain,
( X1 != esk7_0
| xO != X2
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ aElementOf0(X1,X2)
| xO != X2
| $false
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))
| ~ aFunction0(xe) ),
inference(rw,[status(thm)],[1112668,638,theory(equality)]) ).
cnf(1112670,plain,
( X1 != esk7_0
| xO != X2
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ aElementOf0(X1,X2)
| xO != X2
| $false
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ aFunction0(xe) ),
inference(rw,[status(thm)],[1112669,176,theory(equality)]) ).
cnf(1112671,plain,
( X1 != esk7_0
| xO != X2
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ aElementOf0(X1,X2)
| xO != X2
| $false
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| $false ),
inference(rw,[status(thm)],[1112670,177,theory(equality)]) ).
cnf(1112672,plain,
( X1 != esk7_0
| xO != X2
| ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
| ~ aElementOf0(X1,X2) ),
inference(cn,[status(thm)],[1112671,theory(equality)]) ).
cnf(1112683,plain,
( X1 != esk7_0
| xO != X2
| ~ aElementOf0(X1,X2)
| ~ aElement0(szDzizrdt0(xd)) ),
inference(spm,[status(thm)],[1112672,784,theory(equality)]) ).
cnf(1112709,plain,
( X1 != esk7_0
| xO != X2
| ~ aElementOf0(X1,X2)
| $false ),
inference(rw,[status(thm)],[1112683,638,theory(equality)]) ).
cnf(1112710,plain,
( X1 != esk7_0
| xO != X2
| ~ aElementOf0(X1,X2) ),
inference(cn,[status(thm)],[1112709,theory(equality)]) ).
cnf(1112730,negated_conjecture,
$false,
inference(spm,[status(thm)],[1112710,197,theory(equality)]) ).
cnf(1113981,negated_conjecture,
$false,
1112730,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM600+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n122.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 10:17:44 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.27 --creating new selector for []
% 29.02/29.39 eprover: CPU time limit exceeded, terminating
% 76.65/78.15 -running prover on /export/starexec/sandbox2/tmp/tmpbZ9KEL/sel_theBenchmark.p_1 with time limit 29
% 76.65/78.15 -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/tmpbZ9KEL/sel_theBenchmark.p_1']
% 76.65/78.15 -prover status ResourceOut
% 76.65/78.15 -running prover on /export/starexec/sandbox2/tmp/tmpbZ9KEL/sel_theBenchmark.p_2 with time limit 81
% 76.65/78.15 -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/tmpbZ9KEL/sel_theBenchmark.p_2']
% 76.65/78.15 -prover status Theorem
% 76.65/78.15 Problem theBenchmark.p solved in phase 1.
% 76.65/78.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.65/78.15 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.65/78.15 Solved 1 out of 1.
% 76.65/78.15 # Problem is unsatisfiable (or provable), constructing proof object
% 76.65/78.15 # SZS status Theorem
% 76.65/78.15 # SZS output start CNFRefutation.
% See solution above
% 76.65/78.16 # SZS output end CNFRefutation
%------------------------------------------------------------------------------