TSTP Solution File: SWC379+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWC379+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 11:40:35 EST 2010
% Result : Theorem 0.20s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 1
% Syntax : Number of formulae : 80 ( 12 unt; 0 def)
% Number of atoms : 475 ( 72 equ)
% Maximal formula atoms : 51 ( 5 avg)
% Number of connectives : 606 ( 211 ~; 245 |; 129 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 78 ( 0 sgn 36 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(24,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ? [X5] :
( ssItem(X5)
& ( ( ~ memberP(X3,X5)
& ! [X6] :
( ssItem(X6)
=> ( ~ memberP(X4,X6)
| ~ leq(X6,X5)
| X5 = X6 ) )
& memberP(X4,X5) )
| ( memberP(X3,X5)
& ( ~ memberP(X4,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X4,X6)
& leq(X6,X5) ) ) ) ) )
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X1,X7)
& ( ~ memberP(X2,X7)
| ? [X8] :
( ssItem(X8)
& X7 != X8
& memberP(X2,X8)
& leq(X8,X7) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( ~ memberP(X2,X8)
| ~ leq(X8,X7)
| X7 = X8 ) )
& memberP(X2,X7)
& memberP(X1,X7) ) ) ) ) ) ) ) ),
file('/tmp/tmpkcf05t/sel_SWC379+1.p_1',co1) ).
fof(25,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ? [X5] :
( ssItem(X5)
& ( ( ~ memberP(X3,X5)
& ! [X6] :
( ssItem(X6)
=> ( ~ memberP(X4,X6)
| ~ leq(X6,X5)
| X5 = X6 ) )
& memberP(X4,X5) )
| ( memberP(X3,X5)
& ( ~ memberP(X4,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X4,X6)
& leq(X6,X5) ) ) ) ) )
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X1,X7)
& ( ~ memberP(X2,X7)
| ? [X8] :
( ssItem(X8)
& X7 != X8
& memberP(X2,X8)
& leq(X8,X7) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( ~ memberP(X2,X8)
| ~ leq(X8,X7)
| X7 = X8 ) )
& memberP(X2,X7)
& memberP(X1,X7) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[24]) ).
fof(27,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ? [X5] :
( ssItem(X5)
& ( ( ~ memberP(X3,X5)
& ! [X6] :
( ssItem(X6)
=> ( ~ memberP(X4,X6)
| ~ leq(X6,X5)
| X5 = X6 ) )
& memberP(X4,X5) )
| ( memberP(X3,X5)
& ( ~ memberP(X4,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X4,X6)
& leq(X6,X5) ) ) ) ) )
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X1,X7)
& ( ~ memberP(X2,X7)
| ? [X8] :
( ssItem(X8)
& X7 != X8
& memberP(X2,X8)
& leq(X8,X7) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( ~ memberP(X2,X8)
| ~ leq(X8,X7)
| X7 = X8 ) )
& memberP(X2,X7)
& memberP(X1,X7) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[25,theory(equality)]) ).
fof(133,negated_conjecture,
? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& X2 = X4
& X1 = X3
& ! [X5] :
( ~ ssItem(X5)
| ( ( memberP(X3,X5)
| ? [X6] :
( ssItem(X6)
& memberP(X4,X6)
& leq(X6,X5)
& X5 != X6 )
| ~ memberP(X4,X5) )
& ( ~ memberP(X3,X5)
| ( memberP(X4,X5)
& ! [X6] :
( ~ ssItem(X6)
| X5 = X6
| ~ memberP(X4,X6)
| ~ leq(X6,X5) ) ) ) ) )
& ? [X7] :
( ssItem(X7)
& ( memberP(X1,X7)
| ( memberP(X2,X7)
& ! [X8] :
( ~ ssItem(X8)
| X7 = X8
| ~ memberP(X2,X8)
| ~ leq(X8,X7) ) ) )
& ( ? [X8] :
( ssItem(X8)
& memberP(X2,X8)
& leq(X8,X7)
& X7 != X8 )
| ~ memberP(X2,X7)
| ~ memberP(X1,X7) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(134,negated_conjecture,
? [X9] :
( ssList(X9)
& ? [X10] :
( ssList(X10)
& ? [X11] :
( ssList(X11)
& ? [X12] :
( ssList(X12)
& X10 = X12
& X9 = X11
& ! [X13] :
( ~ ssItem(X13)
| ( ( memberP(X11,X13)
| ? [X14] :
( ssItem(X14)
& memberP(X12,X14)
& leq(X14,X13)
& X13 != X14 )
| ~ memberP(X12,X13) )
& ( ~ memberP(X11,X13)
| ( memberP(X12,X13)
& ! [X15] :
( ~ ssItem(X15)
| X13 = X15
| ~ memberP(X12,X15)
| ~ leq(X15,X13) ) ) ) ) )
& ? [X16] :
( ssItem(X16)
& ( memberP(X9,X16)
| ( memberP(X10,X16)
& ! [X17] :
( ~ ssItem(X17)
| X16 = X17
| ~ memberP(X10,X17)
| ~ leq(X17,X16) ) ) )
& ( ? [X18] :
( ssItem(X18)
& memberP(X10,X18)
& leq(X18,X16)
& X16 != X18 )
| ~ memberP(X10,X16)
| ~ memberP(X9,X16) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[133]) ).
fof(135,negated_conjecture,
( ssList(esk7_0)
& ssList(esk8_0)
& ssList(esk9_0)
& ssList(esk10_0)
& esk8_0 = esk10_0
& esk7_0 = esk9_0
& ! [X13] :
( ~ ssItem(X13)
| ( ( memberP(esk9_0,X13)
| ( ssItem(esk11_1(X13))
& memberP(esk10_0,esk11_1(X13))
& leq(esk11_1(X13),X13)
& X13 != esk11_1(X13) )
| ~ memberP(esk10_0,X13) )
& ( ~ memberP(esk9_0,X13)
| ( memberP(esk10_0,X13)
& ! [X15] :
( ~ ssItem(X15)
| X13 = X15
| ~ memberP(esk10_0,X15)
| ~ leq(X15,X13) ) ) ) ) )
& ssItem(esk12_0)
& ( memberP(esk7_0,esk12_0)
| ( memberP(esk8_0,esk12_0)
& ! [X17] :
( ~ ssItem(X17)
| esk12_0 = X17
| ~ memberP(esk8_0,X17)
| ~ leq(X17,esk12_0) ) ) )
& ( ( ssItem(esk13_0)
& memberP(esk8_0,esk13_0)
& leq(esk13_0,esk12_0)
& esk12_0 != esk13_0 )
| ~ memberP(esk8_0,esk12_0)
| ~ memberP(esk7_0,esk12_0) ) ),
inference(skolemize,[status(esa)],[134]) ).
fof(136,negated_conjecture,
! [X13,X15,X17] :
( ( ( ( ~ ssItem(X17)
| esk12_0 = X17
| ~ memberP(esk8_0,X17)
| ~ leq(X17,esk12_0) )
& memberP(esk8_0,esk12_0) )
| memberP(esk7_0,esk12_0) )
& ( ( ssItem(esk13_0)
& memberP(esk8_0,esk13_0)
& leq(esk13_0,esk12_0)
& esk12_0 != esk13_0 )
| ~ memberP(esk8_0,esk12_0)
| ~ memberP(esk7_0,esk12_0) )
& ssItem(esk12_0)
& ( ( ( ( ( ~ ssItem(X15)
| X13 = X15
| ~ memberP(esk10_0,X15)
| ~ leq(X15,X13) )
& memberP(esk10_0,X13) )
| ~ memberP(esk9_0,X13) )
& ( memberP(esk9_0,X13)
| ( ssItem(esk11_1(X13))
& memberP(esk10_0,esk11_1(X13))
& leq(esk11_1(X13),X13)
& X13 != esk11_1(X13) )
| ~ memberP(esk10_0,X13) ) )
| ~ ssItem(X13) )
& esk8_0 = esk10_0
& esk7_0 = esk9_0
& ssList(esk10_0)
& ssList(esk9_0)
& ssList(esk8_0)
& ssList(esk7_0) ),
inference(shift_quantors,[status(thm)],[135]) ).
fof(137,negated_conjecture,
! [X13,X15,X17] :
( ( ~ ssItem(X17)
| esk12_0 = X17
| ~ memberP(esk8_0,X17)
| ~ leq(X17,esk12_0)
| memberP(esk7_0,esk12_0) )
& ( memberP(esk8_0,esk12_0)
| memberP(esk7_0,esk12_0) )
& ( ssItem(esk13_0)
| ~ memberP(esk8_0,esk12_0)
| ~ memberP(esk7_0,esk12_0) )
& ( memberP(esk8_0,esk13_0)
| ~ memberP(esk8_0,esk12_0)
| ~ memberP(esk7_0,esk12_0) )
& ( leq(esk13_0,esk12_0)
| ~ memberP(esk8_0,esk12_0)
| ~ memberP(esk7_0,esk12_0) )
& ( esk12_0 != esk13_0
| ~ memberP(esk8_0,esk12_0)
| ~ memberP(esk7_0,esk12_0) )
& ssItem(esk12_0)
& ( ~ ssItem(X15)
| X13 = X15
| ~ memberP(esk10_0,X15)
| ~ leq(X15,X13)
| ~ memberP(esk9_0,X13)
| ~ ssItem(X13) )
& ( memberP(esk10_0,X13)
| ~ memberP(esk9_0,X13)
| ~ ssItem(X13) )
& ( ssItem(esk11_1(X13))
| memberP(esk9_0,X13)
| ~ memberP(esk10_0,X13)
| ~ ssItem(X13) )
& ( memberP(esk10_0,esk11_1(X13))
| memberP(esk9_0,X13)
| ~ memberP(esk10_0,X13)
| ~ ssItem(X13) )
& ( leq(esk11_1(X13),X13)
| memberP(esk9_0,X13)
| ~ memberP(esk10_0,X13)
| ~ ssItem(X13) )
& ( X13 != esk11_1(X13)
| memberP(esk9_0,X13)
| ~ memberP(esk10_0,X13)
| ~ ssItem(X13) )
& esk8_0 = esk10_0
& esk7_0 = esk9_0
& ssList(esk10_0)
& ssList(esk9_0)
& ssList(esk8_0)
& ssList(esk7_0) ),
inference(distribute,[status(thm)],[136]) ).
cnf(142,negated_conjecture,
esk7_0 = esk9_0,
inference(split_conjunct,[status(thm)],[137]) ).
cnf(143,negated_conjecture,
esk8_0 = esk10_0,
inference(split_conjunct,[status(thm)],[137]) ).
cnf(144,negated_conjecture,
( memberP(esk9_0,X1)
| ~ ssItem(X1)
| ~ memberP(esk10_0,X1)
| X1 != esk11_1(X1) ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(145,negated_conjecture,
( memberP(esk9_0,X1)
| leq(esk11_1(X1),X1)
| ~ ssItem(X1)
| ~ memberP(esk10_0,X1) ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(146,negated_conjecture,
( memberP(esk9_0,X1)
| memberP(esk10_0,esk11_1(X1))
| ~ ssItem(X1)
| ~ memberP(esk10_0,X1) ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(147,negated_conjecture,
( memberP(esk9_0,X1)
| ssItem(esk11_1(X1))
| ~ ssItem(X1)
| ~ memberP(esk10_0,X1) ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(148,negated_conjecture,
( memberP(esk10_0,X1)
| ~ ssItem(X1)
| ~ memberP(esk9_0,X1) ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(149,negated_conjecture,
( X1 = X2
| ~ ssItem(X1)
| ~ memberP(esk9_0,X1)
| ~ leq(X2,X1)
| ~ memberP(esk10_0,X2)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(150,negated_conjecture,
ssItem(esk12_0),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(151,negated_conjecture,
( ~ memberP(esk7_0,esk12_0)
| ~ memberP(esk8_0,esk12_0)
| esk12_0 != esk13_0 ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(152,negated_conjecture,
( leq(esk13_0,esk12_0)
| ~ memberP(esk7_0,esk12_0)
| ~ memberP(esk8_0,esk12_0) ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(153,negated_conjecture,
( memberP(esk8_0,esk13_0)
| ~ memberP(esk7_0,esk12_0)
| ~ memberP(esk8_0,esk12_0) ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(154,negated_conjecture,
( ssItem(esk13_0)
| ~ memberP(esk7_0,esk12_0)
| ~ memberP(esk8_0,esk12_0) ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(155,negated_conjecture,
( memberP(esk7_0,esk12_0)
| memberP(esk8_0,esk12_0) ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(156,negated_conjecture,
( memberP(esk7_0,esk12_0)
| esk12_0 = X1
| ~ leq(X1,esk12_0)
| ~ memberP(esk8_0,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(160,negated_conjecture,
( memberP(esk7_0,esk12_0)
| memberP(esk10_0,esk12_0) ),
inference(rw,[status(thm)],[155,143,theory(equality)]) ).
cnf(161,negated_conjecture,
( ssItem(esk13_0)
| ~ memberP(esk7_0,esk12_0)
| ~ memberP(esk10_0,esk12_0) ),
inference(rw,[status(thm)],[154,143,theory(equality)]) ).
cnf(163,negated_conjecture,
( leq(esk13_0,esk12_0)
| ~ memberP(esk7_0,esk12_0)
| ~ memberP(esk10_0,esk12_0) ),
inference(rw,[status(thm)],[152,143,theory(equality)]) ).
cnf(165,negated_conjecture,
( memberP(esk10_0,esk13_0)
| ~ memberP(esk7_0,esk12_0)
| ~ memberP(esk8_0,esk12_0) ),
inference(rw,[status(thm)],[153,143,theory(equality)]) ).
cnf(166,negated_conjecture,
( memberP(esk10_0,esk13_0)
| ~ memberP(esk7_0,esk12_0)
| ~ memberP(esk10_0,esk12_0) ),
inference(rw,[status(thm)],[165,143,theory(equality)]) ).
cnf(168,negated_conjecture,
( memberP(esk10_0,X1)
| ~ ssItem(X1)
| ~ memberP(esk7_0,X1) ),
inference(rw,[status(thm)],[148,142,theory(equality)]) ).
cnf(169,negated_conjecture,
( memberP(esk10_0,esk12_0)
| ~ ssItem(esk12_0) ),
inference(spm,[status(thm)],[168,160,theory(equality)]) ).
cnf(170,negated_conjecture,
( memberP(esk10_0,esk12_0)
| $false ),
inference(rw,[status(thm)],[169,150,theory(equality)]) ).
cnf(171,negated_conjecture,
memberP(esk10_0,esk12_0),
inference(cn,[status(thm)],[170,theory(equality)]) ).
cnf(172,negated_conjecture,
( esk13_0 != esk12_0
| ~ memberP(esk7_0,esk12_0)
| ~ memberP(esk10_0,esk12_0) ),
inference(rw,[status(thm)],[151,143,theory(equality)]) ).
cnf(173,negated_conjecture,
( ssItem(esk11_1(X1))
| memberP(esk7_0,X1)
| ~ ssItem(X1)
| ~ memberP(esk10_0,X1) ),
inference(rw,[status(thm)],[147,142,theory(equality)]) ).
cnf(183,negated_conjecture,
( memberP(esk7_0,X1)
| esk11_1(X1) != X1
| ~ ssItem(X1)
| ~ memberP(esk10_0,X1) ),
inference(rw,[status(thm)],[144,142,theory(equality)]) ).
cnf(184,negated_conjecture,
( memberP(esk7_0,X1)
| memberP(esk10_0,esk11_1(X1))
| ~ ssItem(X1)
| ~ memberP(esk10_0,X1) ),
inference(rw,[status(thm)],[146,142,theory(equality)]) ).
cnf(185,negated_conjecture,
( esk12_0 = X1
| memberP(esk7_0,esk12_0)
| ~ ssItem(X1)
| ~ leq(X1,esk12_0)
| ~ memberP(esk10_0,X1) ),
inference(rw,[status(thm)],[156,143,theory(equality)]) ).
cnf(186,negated_conjecture,
( memberP(esk7_0,X1)
| leq(esk11_1(X1),X1)
| ~ ssItem(X1)
| ~ memberP(esk10_0,X1) ),
inference(rw,[status(thm)],[145,142,theory(equality)]) ).
cnf(206,negated_conjecture,
( X1 = X2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ leq(X2,X1)
| ~ memberP(esk7_0,X1)
| ~ memberP(esk10_0,X2) ),
inference(rw,[status(thm)],[149,142,theory(equality)]) ).
cnf(329,negated_conjecture,
( memberP(esk7_0,esk12_0)
| ssItem(esk11_1(esk12_0))
| ~ ssItem(esk12_0) ),
inference(spm,[status(thm)],[173,171,theory(equality)]) ).
cnf(330,negated_conjecture,
( memberP(esk10_0,esk11_1(esk12_0))
| memberP(esk7_0,esk12_0)
| ~ ssItem(esk12_0) ),
inference(spm,[status(thm)],[184,171,theory(equality)]) ).
cnf(331,negated_conjecture,
( memberP(esk7_0,esk12_0)
| leq(esk11_1(esk12_0),esk12_0)
| ~ ssItem(esk12_0) ),
inference(spm,[status(thm)],[186,171,theory(equality)]) ).
cnf(338,negated_conjecture,
( esk13_0 != esk12_0
| ~ memberP(esk7_0,esk12_0)
| $false ),
inference(rw,[status(thm)],[172,171,theory(equality)]) ).
cnf(339,negated_conjecture,
( esk13_0 != esk12_0
| ~ memberP(esk7_0,esk12_0) ),
inference(cn,[status(thm)],[338,theory(equality)]) ).
cnf(340,negated_conjecture,
( memberP(esk10_0,esk13_0)
| ~ memberP(esk7_0,esk12_0)
| $false ),
inference(rw,[status(thm)],[166,171,theory(equality)]) ).
cnf(341,negated_conjecture,
( memberP(esk10_0,esk13_0)
| ~ memberP(esk7_0,esk12_0) ),
inference(cn,[status(thm)],[340,theory(equality)]) ).
cnf(342,negated_conjecture,
( leq(esk13_0,esk12_0)
| ~ memberP(esk7_0,esk12_0)
| $false ),
inference(rw,[status(thm)],[163,171,theory(equality)]) ).
cnf(343,negated_conjecture,
( leq(esk13_0,esk12_0)
| ~ memberP(esk7_0,esk12_0) ),
inference(cn,[status(thm)],[342,theory(equality)]) ).
cnf(344,negated_conjecture,
( ssItem(esk13_0)
| ~ memberP(esk7_0,esk12_0)
| $false ),
inference(rw,[status(thm)],[161,171,theory(equality)]) ).
cnf(345,negated_conjecture,
( ssItem(esk13_0)
| ~ memberP(esk7_0,esk12_0) ),
inference(cn,[status(thm)],[344,theory(equality)]) ).
cnf(347,negated_conjecture,
( memberP(esk7_0,esk12_0)
| ssItem(esk11_1(esk12_0))
| $false ),
inference(rw,[status(thm)],[329,150,theory(equality)]) ).
cnf(348,negated_conjecture,
( memberP(esk7_0,esk12_0)
| ssItem(esk11_1(esk12_0)) ),
inference(cn,[status(thm)],[347,theory(equality)]) ).
cnf(349,negated_conjecture,
( memberP(esk10_0,esk11_1(esk12_0))
| memberP(esk7_0,esk12_0)
| $false ),
inference(rw,[status(thm)],[330,150,theory(equality)]) ).
cnf(350,negated_conjecture,
( memberP(esk10_0,esk11_1(esk12_0))
| memberP(esk7_0,esk12_0) ),
inference(cn,[status(thm)],[349,theory(equality)]) ).
cnf(351,negated_conjecture,
( memberP(esk7_0,esk12_0)
| leq(esk11_1(esk12_0),esk12_0)
| $false ),
inference(rw,[status(thm)],[331,150,theory(equality)]) ).
cnf(352,negated_conjecture,
( memberP(esk7_0,esk12_0)
| leq(esk11_1(esk12_0),esk12_0) ),
inference(cn,[status(thm)],[351,theory(equality)]) ).
cnf(404,negated_conjecture,
( esk12_0 = esk11_1(esk12_0)
| memberP(esk7_0,esk12_0)
| ~ memberP(esk10_0,esk11_1(esk12_0))
| ~ ssItem(esk11_1(esk12_0)) ),
inference(spm,[status(thm)],[185,352,theory(equality)]) ).
cnf(500,negated_conjecture,
( esk11_1(esk12_0) = esk12_0
| memberP(esk7_0,esk12_0)
| ~ memberP(esk10_0,esk11_1(esk12_0)) ),
inference(csr,[status(thm)],[404,348]) ).
cnf(501,negated_conjecture,
( esk11_1(esk12_0) = esk12_0
| memberP(esk7_0,esk12_0) ),
inference(csr,[status(thm)],[500,350]) ).
cnf(502,negated_conjecture,
( memberP(esk7_0,esk12_0)
| ~ memberP(esk10_0,esk12_0)
| ~ ssItem(esk12_0) ),
inference(spm,[status(thm)],[183,501,theory(equality)]) ).
cnf(506,negated_conjecture,
( memberP(esk7_0,esk12_0)
| $false
| ~ ssItem(esk12_0) ),
inference(rw,[status(thm)],[502,171,theory(equality)]) ).
cnf(507,negated_conjecture,
( memberP(esk7_0,esk12_0)
| $false
| $false ),
inference(rw,[status(thm)],[506,150,theory(equality)]) ).
cnf(508,negated_conjecture,
memberP(esk7_0,esk12_0),
inference(cn,[status(thm)],[507,theory(equality)]) ).
cnf(514,negated_conjecture,
( esk12_0 = X1
| ~ memberP(esk10_0,X1)
| ~ leq(X1,esk12_0)
| ~ ssItem(X1)
| ~ ssItem(esk12_0) ),
inference(spm,[status(thm)],[206,508,theory(equality)]) ).
cnf(520,negated_conjecture,
( leq(esk13_0,esk12_0)
| $false ),
inference(rw,[status(thm)],[343,508,theory(equality)]) ).
cnf(521,negated_conjecture,
leq(esk13_0,esk12_0),
inference(cn,[status(thm)],[520,theory(equality)]) ).
cnf(522,negated_conjecture,
( memberP(esk10_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[341,508,theory(equality)]) ).
cnf(523,negated_conjecture,
memberP(esk10_0,esk13_0),
inference(cn,[status(thm)],[522,theory(equality)]) ).
cnf(526,negated_conjecture,
( esk13_0 != esk12_0
| $false ),
inference(rw,[status(thm)],[339,508,theory(equality)]) ).
cnf(527,negated_conjecture,
esk13_0 != esk12_0,
inference(cn,[status(thm)],[526,theory(equality)]) ).
cnf(528,negated_conjecture,
( ssItem(esk13_0)
| $false ),
inference(rw,[status(thm)],[345,508,theory(equality)]) ).
cnf(529,negated_conjecture,
ssItem(esk13_0),
inference(cn,[status(thm)],[528,theory(equality)]) ).
cnf(541,negated_conjecture,
( esk12_0 = X1
| ~ memberP(esk10_0,X1)
| ~ leq(X1,esk12_0)
| ~ ssItem(X1)
| $false ),
inference(rw,[status(thm)],[514,150,theory(equality)]) ).
cnf(542,negated_conjecture,
( esk12_0 = X1
| ~ memberP(esk10_0,X1)
| ~ leq(X1,esk12_0)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[541,theory(equality)]) ).
cnf(733,negated_conjecture,
( esk12_0 = esk13_0
| ~ leq(esk13_0,esk12_0)
| ~ ssItem(esk13_0) ),
inference(spm,[status(thm)],[542,523,theory(equality)]) ).
cnf(735,negated_conjecture,
( esk12_0 = esk13_0
| $false
| ~ ssItem(esk13_0) ),
inference(rw,[status(thm)],[733,521,theory(equality)]) ).
cnf(736,negated_conjecture,
( esk12_0 = esk13_0
| $false
| $false ),
inference(rw,[status(thm)],[735,529,theory(equality)]) ).
cnf(737,negated_conjecture,
esk12_0 = esk13_0,
inference(cn,[status(thm)],[736,theory(equality)]) ).
cnf(738,negated_conjecture,
$false,
inference(sr,[status(thm)],[737,527,theory(equality)]) ).
cnf(739,negated_conjecture,
$false,
738,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC379+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmpkcf05t/sel_SWC379+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC379+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC379+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC379+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------