TSTP Solution File: NUM545+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM545+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n096.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 15:21:44 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 78 ( 16 unt; 0 def)
% Number of atoms : 388 ( 18 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 509 ( 199 ~; 213 |; 85 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 105 ( 1 sgn 71 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
equal(slbdtrb0(sz00),slcrc0),
file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mSegZero) ).
fof(6,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& ~ equal(szszuzczcdt0(X1),sz00) ) ),
file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mSuccNum) ).
fof(15,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mDefSub) ).
fof(28,axiom,
! [X1] :
( equal(X1,slcrc0)
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mDefEmp) ).
fof(32,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mZeroNum) ).
fof(34,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1)
& ~ equal(X1,slcrc0) )
=> ! [X2] :
( equal(X2,szmzazxdt0(X1))
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mDefMax) ).
fof(36,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( equal(X2,slbdtrb0(X1))
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mDefSeg) ).
fof(37,conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& aSubsetOf0(xS,slbdtrb0(X1)) ),
file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',m__) ).
fof(39,axiom,
( ~ equal(xS,slcrc0)
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',m__2035) ).
fof(44,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',mNATSet) ).
fof(52,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1',m__1986) ).
fof(58,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,szNzAzT0)
& aSubsetOf0(xS,slbdtrb0(X1)) ),
inference(assume_negation,[status(cth)],[37]) ).
cnf(74,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[5]) ).
fof(75,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& ~ equal(szszuzczcdt0(X1),sz00) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(76,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
& ~ equal(szszuzczcdt0(X2),sz00) ) ),
inference(variable_rename,[status(thm)],[75]) ).
fof(77,plain,
! [X2] :
( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ~ equal(szszuzczcdt0(X2),sz00)
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[76]) ).
cnf(79,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[77]) ).
fof(126,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)],[15]) ).
fof(127,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)],[126]) ).
fof(128,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk4_2(X4,X5),X5)
& ~ aElementOf0(esk4_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[127]) ).
fof(129,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) )
& aSet0(X5) )
| ~ aSubsetOf0(X5,X4) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk4_2(X4,X5),X5)
& ~ aElementOf0(esk4_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) )
| ~ aSet0(X4) ),
inference(shift_quantors,[status(thm)],[128]) ).
fof(130,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk4_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk4_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[129]) ).
cnf(132,plain,
( aSubsetOf0(X2,X1)
| aElementOf0(esk4_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[130]) ).
cnf(134,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[130]) ).
fof(183,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)],[28]) ).
fof(184,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)],[183]) ).
fof(185,plain,
! [X3] :
( ( ~ equal(X3,slcrc0)
| ( aSet0(X3)
& ! [X4] : ~ aElementOf0(X4,X3) ) )
& ( ~ aSet0(X3)
| aElementOf0(esk6_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(skolemize,[status(esa)],[184]) ).
fof(186,plain,
! [X3,X4] :
( ( ( ~ aElementOf0(X4,X3)
& aSet0(X3) )
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk6_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(shift_quantors,[status(thm)],[185]) ).
fof(187,plain,
! [X3,X4] :
( ( ~ aElementOf0(X4,X3)
| ~ equal(X3,slcrc0) )
& ( aSet0(X3)
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk6_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(distribute,[status(thm)],[186]) ).
cnf(189,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[187]) ).
cnf(190,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[187]) ).
cnf(200,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[32]) ).
fof(204,plain,
! [X1] :
( ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1)
| equal(X1,slcrc0)
| ! [X2] :
( ( ~ equal(X2,szmzazxdt0(X1))
| ( aElementOf0(X2,X1)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| sdtlseqdt0(X3,X2) ) ) )
& ( ~ aElementOf0(X2,X1)
| ? [X3] :
( aElementOf0(X3,X1)
& ~ sdtlseqdt0(X3,X2) )
| equal(X2,szmzazxdt0(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(205,plain,
! [X4] :
( ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| equal(X4,slcrc0)
| ! [X5] :
( ( ~ equal(X5,szmzazxdt0(X4))
| ( aElementOf0(X5,X4)
& ! [X6] :
( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X6,X5) ) ) )
& ( ~ aElementOf0(X5,X4)
| ? [X7] :
( aElementOf0(X7,X4)
& ~ sdtlseqdt0(X7,X5) )
| equal(X5,szmzazxdt0(X4)) ) ) ),
inference(variable_rename,[status(thm)],[204]) ).
fof(206,plain,
! [X4] :
( ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| equal(X4,slcrc0)
| ! [X5] :
( ( ~ equal(X5,szmzazxdt0(X4))
| ( aElementOf0(X5,X4)
& ! [X6] :
( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X6,X5) ) ) )
& ( ~ aElementOf0(X5,X4)
| ( aElementOf0(esk7_2(X4,X5),X4)
& ~ sdtlseqdt0(esk7_2(X4,X5),X5) )
| equal(X5,szmzazxdt0(X4)) ) ) ),
inference(skolemize,[status(esa)],[205]) ).
fof(207,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X6,X5) )
& aElementOf0(X5,X4) )
| ~ equal(X5,szmzazxdt0(X4)) )
& ( ~ aElementOf0(X5,X4)
| ( aElementOf0(esk7_2(X4,X5),X4)
& ~ sdtlseqdt0(esk7_2(X4,X5),X5) )
| equal(X5,szmzazxdt0(X4)) ) )
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| equal(X4,slcrc0) ),
inference(shift_quantors,[status(thm)],[206]) ).
fof(208,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X6,X5)
| ~ equal(X5,szmzazxdt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| equal(X4,slcrc0) )
& ( aElementOf0(X5,X4)
| ~ equal(X5,szmzazxdt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| equal(X4,slcrc0) )
& ( aElementOf0(esk7_2(X4,X5),X4)
| ~ aElementOf0(X5,X4)
| equal(X5,szmzazxdt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| equal(X4,slcrc0) )
& ( ~ sdtlseqdt0(esk7_2(X4,X5),X5)
| ~ aElementOf0(X5,X4)
| equal(X5,szmzazxdt0(X4))
| ~ aSubsetOf0(X4,szNzAzT0)
| ~ isFinite0(X4)
| equal(X4,slcrc0) ) ),
inference(distribute,[status(thm)],[207]) ).
cnf(211,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzazxdt0(X1) ),
inference(split_conjunct,[status(thm)],[208]) ).
fof(218,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ! [X2] :
( ( ~ equal(X2,slbdtrb0(X1))
| ( aSet0(X2)
& ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) )
& ( ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X1)
| aElementOf0(X3,X2) ) ) ) )
& ( ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X1) )
& ( aElementOf0(X3,X2)
| ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) )
| equal(X2,slbdtrb0(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[36]) ).
fof(219,plain,
! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ! [X5] :
( ( ~ equal(X5,slbdtrb0(X4))
| ( aSet0(X5)
& ! [X6] :
( ( ~ aElementOf0(X6,X5)
| ( aElementOf0(X6,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X6),X4) ) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5) ) ) ) )
& ( ~ aSet0(X5)
| ? [X7] :
( ( ~ aElementOf0(X7,X5)
| ~ aElementOf0(X7,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X7),X4) )
& ( aElementOf0(X7,X5)
| ( aElementOf0(X7,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X7),X4) ) ) )
| equal(X5,slbdtrb0(X4)) ) ) ),
inference(variable_rename,[status(thm)],[218]) ).
fof(220,plain,
! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ! [X5] :
( ( ~ equal(X5,slbdtrb0(X4))
| ( aSet0(X5)
& ! [X6] :
( ( ~ aElementOf0(X6,X5)
| ( aElementOf0(X6,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X6),X4) ) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5) ) ) ) )
& ( ~ aSet0(X5)
| ( ( ~ aElementOf0(esk8_2(X4,X5),X5)
| ~ aElementOf0(esk8_2(X4,X5),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4) )
& ( aElementOf0(esk8_2(X4,X5),X5)
| ( aElementOf0(esk8_2(X4,X5),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4) ) ) )
| equal(X5,slbdtrb0(X4)) ) ) ),
inference(skolemize,[status(esa)],[219]) ).
fof(221,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| ( aElementOf0(X6,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X6),X4) ) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5) )
& aSet0(X5) )
| ~ equal(X5,slbdtrb0(X4)) )
& ( ~ aSet0(X5)
| ( ( ~ aElementOf0(esk8_2(X4,X5),X5)
| ~ aElementOf0(esk8_2(X4,X5),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4) )
& ( aElementOf0(esk8_2(X4,X5),X5)
| ( aElementOf0(esk8_2(X4,X5),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4) ) ) )
| equal(X5,slbdtrb0(X4)) ) )
| ~ aElementOf0(X4,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[220]) ).
fof(222,plain,
! [X4,X5,X6] :
( ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,X5)
| ~ equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X6),X4)
| ~ aElementOf0(X6,X5)
| ~ equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5)
| ~ equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( aSet0(X5)
| ~ equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(esk8_2(X4,X5),X5)
| ~ aElementOf0(esk8_2(X4,X5),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4)
| ~ aSet0(X5)
| equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( aElementOf0(esk8_2(X4,X5),szNzAzT0)
| aElementOf0(esk8_2(X4,X5),X5)
| ~ aSet0(X5)
| equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk8_2(X4,X5)),X4)
| aElementOf0(esk8_2(X4,X5),X5)
| ~ aSet0(X5)
| equal(X5,slbdtrb0(X4))
| ~ aElementOf0(X4,szNzAzT0) ) ),
inference(distribute,[status(thm)],[221]) ).
cnf(226,plain,
( aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1) ),
inference(split_conjunct,[status(thm)],[222]) ).
fof(230,negated_conjecture,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(X1)) ),
inference(fof_nnf,[status(thm)],[58]) ).
fof(231,negated_conjecture,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(X2)) ),
inference(variable_rename,[status(thm)],[230]) ).
cnf(232,negated_conjecture,
( ~ aSubsetOf0(xS,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[231]) ).
fof(236,plain,
( equal(xS,slcrc0)
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(fof_nnf,[status(thm)],[39]) ).
cnf(237,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| xS = slcrc0 ),
inference(split_conjunct,[status(thm)],[236]) ).
cnf(253,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(288,plain,
isFinite0(xS),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(289,plain,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(308,negated_conjecture,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aSubsetOf0(xS,slcrc0) ),
inference(spm,[status(thm)],[232,74,theory(equality)]) ).
cnf(309,negated_conjecture,
( $false
| ~ aSubsetOf0(xS,slcrc0) ),
inference(rw,[status(thm)],[308,200,theory(equality)]) ).
cnf(310,negated_conjecture,
~ aSubsetOf0(xS,slcrc0),
inference(cn,[status(thm)],[309,theory(equality)]) ).
cnf(324,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[226,theory(equality)]) ).
cnf(398,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[134,289,theory(equality)]) ).
cnf(402,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS)
| $false ),
inference(rw,[status(thm)],[398,253,theory(equality)]) ).
cnf(403,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[402,theory(equality)]) ).
cnf(437,plain,
( slcrc0 = X1
| aElementOf0(szmzazxdt0(X1),X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[211,theory(equality)]) ).
cnf(461,plain,
( aSubsetOf0(X1,X2)
| slcrc0 != X1
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[190,132,theory(equality)]) ).
cnf(680,plain,
( aSet0(slcrc0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(spm,[status(thm)],[324,74,theory(equality)]) ).
cnf(681,plain,
( aSet0(slcrc0)
| $false ),
inference(rw,[status(thm)],[680,200,theory(equality)]) ).
cnf(682,plain,
aSet0(slcrc0),
inference(cn,[status(thm)],[681,theory(equality)]) ).
cnf(1089,plain,
( aSubsetOf0(X1,X2)
| slcrc0 != X1
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[461,189]) ).
cnf(1090,negated_conjecture,
( slcrc0 != xS
| ~ aSet0(slcrc0) ),
inference(spm,[status(thm)],[310,1089,theory(equality)]) ).
cnf(1105,negated_conjecture,
( slcrc0 != xS
| $false ),
inference(rw,[status(thm)],[1090,682,theory(equality)]) ).
cnf(1106,negated_conjecture,
slcrc0 != xS,
inference(cn,[status(thm)],[1105,theory(equality)]) ).
cnf(1119,plain,
aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
inference(sr,[status(thm)],[237,1106,theory(equality)]) ).
cnf(1179,plain,
~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0),
inference(spm,[status(thm)],[232,1119,theory(equality)]) ).
cnf(1193,plain,
~ aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference(spm,[status(thm)],[1179,79,theory(equality)]) ).
cnf(2861,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| slcrc0 = xS
| ~ isFinite0(xS)
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(spm,[status(thm)],[403,437,theory(equality)]) ).
cnf(2876,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| slcrc0 = xS
| $false
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(rw,[status(thm)],[2861,288,theory(equality)]) ).
cnf(2877,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| slcrc0 = xS
| $false
| $false ),
inference(rw,[status(thm)],[2876,289,theory(equality)]) ).
cnf(2878,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| slcrc0 = xS ),
inference(cn,[status(thm)],[2877,theory(equality)]) ).
cnf(2879,plain,
xS = slcrc0,
inference(sr,[status(thm)],[2878,1193,theory(equality)]) ).
cnf(2880,plain,
$false,
inference(sr,[status(thm)],[2879,1106,theory(equality)]) ).
cnf(2881,plain,
$false,
2880,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM545+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n096.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 08:15:15 CST 2018
% 0.03/0.23 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for []
% 0.06/0.41 -running prover on /export/starexec/sandbox/tmp/tmpMhiH3q/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.41 -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/tmpMhiH3q/sel_theBenchmark.p_1']
% 0.06/0.41 -prover status Theorem
% 0.06/0.41 Problem theBenchmark.p solved in phase 0.
% 0.06/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.41 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.41 Solved 1 out of 1.
% 0.06/0.41 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.41 # SZS status Theorem
% 0.06/0.41 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.41 # SZS output end CNFRefutation
%------------------------------------------------------------------------------