TSTP Solution File: NUM607+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM607+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n106.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 15:21:58 EST 2018
% Result : Theorem 0.58s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 82 ( 24 unt; 0 def)
% Number of atoms : 363 ( 21 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 473 ( 192 ~; 215 |; 58 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-3 aty)
% Number of variables : 108 ( 0 sgn 51 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp4oVwex/sel_theBenchmark.p_1',mDefSub) ).
fof(11,axiom,
( aSet0(xO)
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
file('/export/starexec/sandbox/tmp/tmp4oVwex/sel_theBenchmark.p_1',m__4891) ).
fof(14,axiom,
( aSubsetOf0(xQ,xO)
& ~ equal(xQ,slcrc0) ),
file('/export/starexec/sandbox/tmp/tmp4oVwex/sel_theBenchmark.p_1',m__5093) ).
fof(19,conjecture,
aElementOf0(xQ,szDzozmdt0(xc)),
file('/export/starexec/sandbox/tmp/tmp4oVwex/sel_theBenchmark.p_1',m__) ).
fof(22,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/tmp/tmp4oVwex/sel_theBenchmark.p_1',m__3435) ).
fof(47,axiom,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox/tmp/tmp4oVwex/sel_theBenchmark.p_1',m__4998) ).
fof(53,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/tmp4oVwex/sel_theBenchmark.p_1',mDefSel) ).
fof(55,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp4oVwex/sel_theBenchmark.p_1',m__3418) ).
fof(63,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp4oVwex/sel_theBenchmark.p_1',m__5106) ).
fof(83,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp4oVwex/sel_theBenchmark.p_1',mNATSet) ).
fof(94,axiom,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
file('/export/starexec/sandbox/tmp/tmp4oVwex/sel_theBenchmark.p_1',m__5078) ).
fof(96,axiom,
( aFunction0(xc)
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/tmp/tmp4oVwex/sel_theBenchmark.p_1',m__3453) ).
fof(97,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp4oVwex/sel_theBenchmark.p_1',mSubTrans) ).
fof(103,negated_conjecture,
~ aElementOf0(xQ,szDzozmdt0(xc)),
inference(assume_negation,[status(cth)],[19]) ).
fof(105,negated_conjecture,
~ aElementOf0(xQ,szDzozmdt0(xc)),
inference(fof_simplification,[status(thm)],[103,theory(equality)]) ).
fof(143,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(144,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)],[143]) ).
fof(145,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)],[144]) ).
fof(146,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)],[145]) ).
fof(147,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)],[146]) ).
cnf(148,plain,
( aSubsetOf0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(149,plain,
( aSubsetOf0(X2,X1)
| aElementOf0(esk2_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(150,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(151,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(169,plain,
aSet0(xO),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(186,plain,
aSubsetOf0(xQ,xO),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(201,negated_conjecture,
~ aElementOf0(xQ,szDzozmdt0(xc)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(212,plain,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(321,plain,
aSubsetOf0(xO,xS),
inference(split_conjunct,[status(thm)],[47]) ).
fof(360,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)],[53]) ).
fof(361,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)],[360]) ).
fof(362,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)],[361]) ).
fof(363,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)],[362]) ).
fof(364,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)],[363]) ).
cnf(369,plain,
( aElementOf0(X4,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[364]) ).
cnf(370,plain,
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[364]) ).
cnf(375,plain,
aElementOf0(xK,szNzAzT0),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(413,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(split_conjunct,[status(thm)],[63]) ).
cnf(490,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[83]) ).
cnf(527,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
inference(split_conjunct,[status(thm)],[94]) ).
cnf(537,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(split_conjunct,[status(thm)],[96]) ).
fof(539,plain,
! [X1,X2,X3] :
( ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| aSubsetOf0(X1,X3) ),
inference(fof_nnf,[status(thm)],[97]) ).
fof(540,plain,
! [X4,X5,X6] :
( ~ aSet0(X4)
| ~ aSet0(X5)
| ~ aSet0(X6)
| ~ aSubsetOf0(X4,X5)
| ~ aSubsetOf0(X5,X6)
| aSubsetOf0(X4,X6) ),
inference(variable_rename,[status(thm)],[539]) ).
cnf(541,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[540]) ).
cnf(659,plain,
( aSet0(xQ)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[150,413,theory(equality)]) ).
cnf(662,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[150,212,theory(equality)]) ).
cnf(666,plain,
( aSet0(xQ)
| $false ),
inference(rw,[status(thm)],[659,490,theory(equality)]) ).
cnf(667,plain,
aSet0(xQ),
inference(cn,[status(thm)],[666,theory(equality)]) ).
cnf(671,plain,
( aSet0(xS)
| $false ),
inference(rw,[status(thm)],[662,490,theory(equality)]) ).
cnf(672,plain,
aSet0(xS),
inference(cn,[status(thm)],[671,theory(equality)]) ).
cnf(1001,plain,
( sbrdtbr0(X1) = X2
| ~ aSet0(X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X3,X2)) ),
inference(er,[status(thm)],[370,theory(equality)]) ).
cnf(1178,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[541,150]) ).
cnf(1179,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[1178,150]) ).
cnf(1182,plain,
( aSubsetOf0(X1,xS)
| ~ aSubsetOf0(X1,xO)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[1179,321,theory(equality)]) ).
cnf(1209,plain,
( aElementOf0(X1,X2)
| szDzozmdt0(xc) != X2
| sbrdtbr0(X1) != xK
| ~ aSubsetOf0(X1,xS)
| ~ aSet0(xS)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(spm,[status(thm)],[369,537,theory(equality)]) ).
cnf(1210,plain,
( aElementOf0(X1,X2)
| szDzozmdt0(xc) != X2
| sbrdtbr0(X1) != xK
| ~ aSubsetOf0(X1,xS)
| ~ aSet0(xS)
| $false ),
inference(rw,[status(thm)],[1209,375,theory(equality)]) ).
cnf(1211,plain,
( aElementOf0(X1,X2)
| szDzozmdt0(xc) != X2
| sbrdtbr0(X1) != xK
| ~ aSubsetOf0(X1,xS)
| ~ aSet0(xS) ),
inference(cn,[status(thm)],[1210,theory(equality)]) ).
cnf(3259,plain,
( aSubsetOf0(X1,xS)
| ~ aSubsetOf0(X1,xO)
| $false ),
inference(rw,[status(thm)],[1182,672,theory(equality)]) ).
cnf(3260,plain,
( aSubsetOf0(X1,xS)
| ~ aSubsetOf0(X1,xO) ),
inference(cn,[status(thm)],[3259,theory(equality)]) ).
cnf(3262,plain,
( aElementOf0(X1,xS)
| ~ aSet0(xS)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,xO) ),
inference(spm,[status(thm)],[151,3260,theory(equality)]) ).
cnf(3275,plain,
( aElementOf0(X1,xS)
| $false
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,xO) ),
inference(rw,[status(thm)],[3262,672,theory(equality)]) ).
cnf(3276,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,xO) ),
inference(cn,[status(thm)],[3275,theory(equality)]) ).
cnf(3330,plain,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ) ),
inference(spm,[status(thm)],[3276,186,theory(equality)]) ).
cnf(3345,plain,
( aElementOf0(esk2_2(X1,xQ),xS)
| aSubsetOf0(xQ,X1)
| ~ aSet0(xQ)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[3330,149,theory(equality)]) ).
cnf(3355,plain,
( aElementOf0(esk2_2(X1,xQ),xS)
| aSubsetOf0(xQ,X1)
| $false
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[3345,667,theory(equality)]) ).
cnf(3356,plain,
( aElementOf0(esk2_2(X1,xQ),xS)
| aSubsetOf0(xQ,X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[3355,theory(equality)]) ).
cnf(3925,plain,
( aSubsetOf0(xQ,xS)
| ~ aSet0(xQ)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[148,3356,theory(equality)]) ).
cnf(3931,plain,
( aSubsetOf0(xQ,xS)
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[3925,667,theory(equality)]) ).
cnf(3932,plain,
( aSubsetOf0(xQ,xS)
| $false
| $false ),
inference(rw,[status(thm)],[3931,672,theory(equality)]) ).
cnf(3933,plain,
aSubsetOf0(xQ,xS),
inference(cn,[status(thm)],[3932,theory(equality)]) ).
cnf(7990,plain,
( sbrdtbr0(xQ) = xK
| ~ aSet0(xO)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(spm,[status(thm)],[1001,527,theory(equality)]) ).
cnf(8004,plain,
( sbrdtbr0(xQ) = xK
| $false
| ~ aElementOf0(xK,szNzAzT0) ),
inference(rw,[status(thm)],[7990,169,theory(equality)]) ).
cnf(8005,plain,
( sbrdtbr0(xQ) = xK
| $false
| $false ),
inference(rw,[status(thm)],[8004,375,theory(equality)]) ).
cnf(8006,plain,
sbrdtbr0(xQ) = xK,
inference(cn,[status(thm)],[8005,theory(equality)]) ).
cnf(16077,plain,
( aElementOf0(X1,X2)
| szDzozmdt0(xc) != X2
| sbrdtbr0(X1) != xK
| ~ aSubsetOf0(X1,xS)
| $false ),
inference(rw,[status(thm)],[1211,672,theory(equality)]) ).
cnf(16078,plain,
( aElementOf0(X1,X2)
| szDzozmdt0(xc) != X2
| sbrdtbr0(X1) != xK
| ~ aSubsetOf0(X1,xS) ),
inference(cn,[status(thm)],[16077,theory(equality)]) ).
cnf(16079,plain,
( aElementOf0(X1,szDzozmdt0(xc))
| sbrdtbr0(X1) != xK
| ~ aSubsetOf0(X1,xS) ),
inference(er,[status(thm)],[16078,theory(equality)]) ).
cnf(16081,plain,
( aElementOf0(xQ,szDzozmdt0(xc))
| ~ aSubsetOf0(xQ,xS) ),
inference(spm,[status(thm)],[16079,8006,theory(equality)]) ).
cnf(16090,plain,
( aElementOf0(xQ,szDzozmdt0(xc))
| $false ),
inference(rw,[status(thm)],[16081,3933,theory(equality)]) ).
cnf(16091,plain,
aElementOf0(xQ,szDzozmdt0(xc)),
inference(cn,[status(thm)],[16090,theory(equality)]) ).
cnf(16092,plain,
$false,
inference(sr,[status(thm)],[16091,201,theory(equality)]) ).
cnf(16093,plain,
$false,
16092,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM607+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 : n106.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 11:18:30 CST 2018
% 0.02/0.23 % CPUTime :
% 0.07/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.27 --creating new selector for []
% 0.58/0.86 -running prover on /export/starexec/sandbox/tmp/tmp4oVwex/sel_theBenchmark.p_1 with time limit 29
% 0.58/0.86 -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/tmp4oVwex/sel_theBenchmark.p_1']
% 0.58/0.86 -prover status Theorem
% 0.58/0.86 Problem theBenchmark.p solved in phase 0.
% 0.58/0.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.86 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.86 Solved 1 out of 1.
% 0.58/0.86 # Problem is unsatisfiable (or provable), constructing proof object
% 0.58/0.86 # SZS status Theorem
% 0.58/0.86 # SZS output start CNFRefutation.
% See solution above
% 0.58/0.87 # SZS output end CNFRefutation
%------------------------------------------------------------------------------