TSTP Solution File: SWC378+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWC378+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 11:40:30 EST 2010
% Result : Theorem 0.30s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 2
% Syntax : Number of formulae : 72 ( 15 unt; 0 def)
% Number of atoms : 335 ( 30 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 400 ( 137 ~; 197 |; 50 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 36 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(14,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(app(X2,X3),X1)
<=> ( memberP(X2,X1)
| memberP(X3,X1) ) ) ) ) ),
file('/tmp/tmpgk8LGP/sel_SWC378+1.p_1',ax36) ).
fof(21,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| app(X5,X6) != X4
| app(X6,X5) != X3 ) )
| ! [X7] :
( ~ ssItem(X7)
| ( ~ memberP(X2,X7)
& ~ memberP(X1,X7) )
| ( memberP(X2,X7)
& memberP(X1,X7) ) ) ) ) ) ),
file('/tmp/tmpgk8LGP/sel_SWC378+1.p_1',co1) ).
fof(22,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| app(X5,X6) != X4
| app(X6,X5) != X3 ) )
| ! [X7] :
( ~ ssItem(X7)
| ( ~ memberP(X2,X7)
& ~ memberP(X1,X7) )
| ( memberP(X2,X7)
& memberP(X1,X7) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[21]) ).
fof(24,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| app(X5,X6) != X4
| app(X6,X5) != X3 ) )
| ! [X7] :
( ~ ssItem(X7)
| ( ~ memberP(X2,X7)
& ~ memberP(X1,X7) )
| ( memberP(X2,X7)
& memberP(X1,X7) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[22,theory(equality)]) ).
fof(84,plain,
! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ( ( ~ memberP(app(X2,X3),X1)
| memberP(X2,X1)
| memberP(X3,X1) )
& ( ( ~ memberP(X2,X1)
& ~ memberP(X3,X1) )
| memberP(app(X2,X3),X1) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(85,plain,
! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ( ( ~ memberP(app(X5,X6),X4)
| memberP(X5,X4)
| memberP(X6,X4) )
& ( ( ~ memberP(X5,X4)
& ~ memberP(X6,X4) )
| memberP(app(X5,X6),X4) ) ) ) ) ),
inference(variable_rename,[status(thm)],[84]) ).
fof(86,plain,
! [X4,X5,X6] :
( ~ ssList(X6)
| ( ( ~ memberP(app(X5,X6),X4)
| memberP(X5,X4)
| memberP(X6,X4) )
& ( ( ~ memberP(X5,X4)
& ~ memberP(X6,X4) )
| memberP(app(X5,X6),X4) ) )
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(shift_quantors,[status(thm)],[85]) ).
fof(87,plain,
! [X4,X5,X6] :
( ( ~ memberP(app(X5,X6),X4)
| memberP(X5,X4)
| memberP(X6,X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X5,X4)
| memberP(app(X5,X6),X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X6,X4)
| memberP(app(X5,X6),X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ) ),
inference(distribute,[status(thm)],[86]) ).
cnf(88,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(89,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X2,X1) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(90,plain,
( memberP(X3,X1)
| memberP(X2,X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(app(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[87]) ).
fof(119,negated_conjecture,
? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& X2 = X4
& X1 = X3
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(X5,X6) = X4
& app(X6,X5) = X3 ) )
& ? [X7] :
( ssItem(X7)
& ( memberP(X2,X7)
| memberP(X1,X7) )
& ( ~ memberP(X2,X7)
| ~ memberP(X1,X7) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(120,negated_conjecture,
? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& ? [X10] :
( ssList(X10)
& ? [X11] :
( ssList(X11)
& X9 = X11
& X8 = X10
& ? [X12] :
( ssList(X12)
& ? [X13] :
( ssList(X13)
& app(X12,X13) = X11
& app(X13,X12) = X10 ) )
& ? [X14] :
( ssItem(X14)
& ( memberP(X9,X14)
| memberP(X8,X14) )
& ( ~ memberP(X9,X14)
| ~ memberP(X8,X14) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[119]) ).
fof(121,negated_conjecture,
( ssList(esk7_0)
& ssList(esk8_0)
& ssList(esk9_0)
& ssList(esk10_0)
& esk8_0 = esk10_0
& esk7_0 = esk9_0
& ssList(esk11_0)
& ssList(esk12_0)
& app(esk11_0,esk12_0) = esk10_0
& app(esk12_0,esk11_0) = esk9_0
& ssItem(esk13_0)
& ( memberP(esk8_0,esk13_0)
| memberP(esk7_0,esk13_0) )
& ( ~ memberP(esk8_0,esk13_0)
| ~ memberP(esk7_0,esk13_0) ) ),
inference(skolemize,[status(esa)],[120]) ).
cnf(122,negated_conjecture,
( ~ memberP(esk7_0,esk13_0)
| ~ memberP(esk8_0,esk13_0) ),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(123,negated_conjecture,
( memberP(esk7_0,esk13_0)
| memberP(esk8_0,esk13_0) ),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(124,negated_conjecture,
ssItem(esk13_0),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(125,negated_conjecture,
app(esk12_0,esk11_0) = esk9_0,
inference(split_conjunct,[status(thm)],[121]) ).
cnf(126,negated_conjecture,
app(esk11_0,esk12_0) = esk10_0,
inference(split_conjunct,[status(thm)],[121]) ).
cnf(127,negated_conjecture,
ssList(esk12_0),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(128,negated_conjecture,
ssList(esk11_0),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(129,negated_conjecture,
esk7_0 = esk9_0,
inference(split_conjunct,[status(thm)],[121]) ).
cnf(130,negated_conjecture,
esk8_0 = esk10_0,
inference(split_conjunct,[status(thm)],[121]) ).
cnf(139,negated_conjecture,
app(esk11_0,esk12_0) = esk8_0,
inference(rw,[status(thm)],[126,130,theory(equality)]) ).
cnf(140,negated_conjecture,
app(esk12_0,esk11_0) = esk7_0,
inference(rw,[status(thm)],[125,129,theory(equality)]) ).
cnf(271,negated_conjecture,
( memberP(esk11_0,X1)
| memberP(esk12_0,X1)
| ~ memberP(esk8_0,X1)
| ~ ssList(esk12_0)
| ~ ssList(esk11_0)
| ~ ssItem(X1) ),
inference(spm,[status(thm)],[90,139,theory(equality)]) ).
cnf(272,negated_conjecture,
( memberP(esk12_0,X1)
| memberP(esk11_0,X1)
| ~ memberP(esk7_0,X1)
| ~ ssList(esk11_0)
| ~ ssList(esk12_0)
| ~ ssItem(X1) ),
inference(spm,[status(thm)],[90,140,theory(equality)]) ).
cnf(276,negated_conjecture,
( memberP(esk11_0,X1)
| memberP(esk12_0,X1)
| ~ memberP(esk8_0,X1)
| $false
| ~ ssList(esk11_0)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[271,127,theory(equality)]) ).
cnf(277,negated_conjecture,
( memberP(esk11_0,X1)
| memberP(esk12_0,X1)
| ~ memberP(esk8_0,X1)
| $false
| $false
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[276,128,theory(equality)]) ).
cnf(278,negated_conjecture,
( memberP(esk11_0,X1)
| memberP(esk12_0,X1)
| ~ memberP(esk8_0,X1)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[277,theory(equality)]) ).
cnf(279,negated_conjecture,
( memberP(esk12_0,X1)
| memberP(esk11_0,X1)
| ~ memberP(esk7_0,X1)
| $false
| ~ ssList(esk12_0)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[272,128,theory(equality)]) ).
cnf(280,negated_conjecture,
( memberP(esk12_0,X1)
| memberP(esk11_0,X1)
| ~ memberP(esk7_0,X1)
| $false
| $false
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[279,127,theory(equality)]) ).
cnf(281,negated_conjecture,
( memberP(esk12_0,X1)
| memberP(esk11_0,X1)
| ~ memberP(esk7_0,X1)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[280,theory(equality)]) ).
cnf(643,negated_conjecture,
( memberP(esk12_0,esk13_0)
| memberP(esk11_0,esk13_0)
| memberP(esk7_0,esk13_0)
| ~ ssItem(esk13_0) ),
inference(spm,[status(thm)],[278,123,theory(equality)]) ).
cnf(644,negated_conjecture,
( memberP(esk12_0,esk13_0)
| memberP(esk11_0,esk13_0)
| memberP(esk7_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[643,124,theory(equality)]) ).
cnf(645,negated_conjecture,
( memberP(esk12_0,esk13_0)
| memberP(esk11_0,esk13_0)
| memberP(esk7_0,esk13_0) ),
inference(cn,[status(thm)],[644,theory(equality)]) ).
cnf(649,negated_conjecture,
( memberP(app(esk12_0,X1),esk13_0)
| memberP(esk7_0,esk13_0)
| memberP(esk11_0,esk13_0)
| ~ ssList(X1)
| ~ ssList(esk12_0)
| ~ ssItem(esk13_0) ),
inference(spm,[status(thm)],[89,645,theory(equality)]) ).
cnf(661,negated_conjecture,
( memberP(app(esk12_0,X1),esk13_0)
| memberP(esk7_0,esk13_0)
| memberP(esk11_0,esk13_0)
| ~ ssList(X1)
| $false
| ~ ssItem(esk13_0) ),
inference(rw,[status(thm)],[649,127,theory(equality)]) ).
cnf(662,negated_conjecture,
( memberP(app(esk12_0,X1),esk13_0)
| memberP(esk7_0,esk13_0)
| memberP(esk11_0,esk13_0)
| ~ ssList(X1)
| $false
| $false ),
inference(rw,[status(thm)],[661,124,theory(equality)]) ).
cnf(663,negated_conjecture,
( memberP(app(esk12_0,X1),esk13_0)
| memberP(esk7_0,esk13_0)
| memberP(esk11_0,esk13_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[662,theory(equality)]) ).
cnf(753,negated_conjecture,
( memberP(esk7_0,esk13_0)
| memberP(esk11_0,esk13_0)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[663,140,theory(equality)]) ).
cnf(762,negated_conjecture,
( memberP(esk7_0,esk13_0)
| memberP(esk11_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[753,128,theory(equality)]) ).
cnf(763,negated_conjecture,
( memberP(esk7_0,esk13_0)
| memberP(esk11_0,esk13_0) ),
inference(cn,[status(thm)],[762,theory(equality)]) ).
cnf(784,negated_conjecture,
( memberP(app(X1,esk11_0),esk13_0)
| memberP(esk7_0,esk13_0)
| ~ ssList(esk11_0)
| ~ ssList(X1)
| ~ ssItem(esk13_0) ),
inference(spm,[status(thm)],[88,763,theory(equality)]) ).
cnf(794,negated_conjecture,
( memberP(app(X1,esk11_0),esk13_0)
| memberP(esk7_0,esk13_0)
| $false
| ~ ssList(X1)
| ~ ssItem(esk13_0) ),
inference(rw,[status(thm)],[784,128,theory(equality)]) ).
cnf(795,negated_conjecture,
( memberP(app(X1,esk11_0),esk13_0)
| memberP(esk7_0,esk13_0)
| $false
| ~ ssList(X1)
| $false ),
inference(rw,[status(thm)],[794,124,theory(equality)]) ).
cnf(796,negated_conjecture,
( memberP(app(X1,esk11_0),esk13_0)
| memberP(esk7_0,esk13_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[795,theory(equality)]) ).
cnf(814,negated_conjecture,
( memberP(esk7_0,esk13_0)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[796,140,theory(equality)]) ).
cnf(825,negated_conjecture,
( memberP(esk7_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[814,127,theory(equality)]) ).
cnf(826,negated_conjecture,
memberP(esk7_0,esk13_0),
inference(cn,[status(thm)],[825,theory(equality)]) ).
cnf(855,negated_conjecture,
( memberP(esk11_0,esk13_0)
| memberP(esk12_0,esk13_0)
| ~ ssItem(esk13_0) ),
inference(spm,[status(thm)],[281,826,theory(equality)]) ).
cnf(865,negated_conjecture,
( $false
| ~ memberP(esk8_0,esk13_0) ),
inference(rw,[status(thm)],[122,826,theory(equality)]) ).
cnf(866,negated_conjecture,
~ memberP(esk8_0,esk13_0),
inference(cn,[status(thm)],[865,theory(equality)]) ).
cnf(886,negated_conjecture,
( memberP(esk11_0,esk13_0)
| memberP(esk12_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[855,124,theory(equality)]) ).
cnf(887,negated_conjecture,
( memberP(esk11_0,esk13_0)
| memberP(esk12_0,esk13_0) ),
inference(cn,[status(thm)],[886,theory(equality)]) ).
cnf(916,negated_conjecture,
( memberP(app(X1,esk12_0),esk13_0)
| memberP(esk11_0,esk13_0)
| ~ ssList(esk12_0)
| ~ ssList(X1)
| ~ ssItem(esk13_0) ),
inference(spm,[status(thm)],[88,887,theory(equality)]) ).
cnf(926,negated_conjecture,
( memberP(app(X1,esk12_0),esk13_0)
| memberP(esk11_0,esk13_0)
| $false
| ~ ssList(X1)
| ~ ssItem(esk13_0) ),
inference(rw,[status(thm)],[916,127,theory(equality)]) ).
cnf(927,negated_conjecture,
( memberP(app(X1,esk12_0),esk13_0)
| memberP(esk11_0,esk13_0)
| $false
| ~ ssList(X1)
| $false ),
inference(rw,[status(thm)],[926,124,theory(equality)]) ).
cnf(928,negated_conjecture,
( memberP(app(X1,esk12_0),esk13_0)
| memberP(esk11_0,esk13_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[927,theory(equality)]) ).
cnf(1068,negated_conjecture,
( memberP(esk8_0,esk13_0)
| memberP(esk11_0,esk13_0)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[928,139,theory(equality)]) ).
cnf(1079,negated_conjecture,
( memberP(esk8_0,esk13_0)
| memberP(esk11_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[1068,128,theory(equality)]) ).
cnf(1080,negated_conjecture,
( memberP(esk8_0,esk13_0)
| memberP(esk11_0,esk13_0) ),
inference(cn,[status(thm)],[1079,theory(equality)]) ).
cnf(1081,negated_conjecture,
memberP(esk11_0,esk13_0),
inference(sr,[status(thm)],[1080,866,theory(equality)]) ).
cnf(1107,negated_conjecture,
( memberP(app(esk11_0,X1),esk13_0)
| ~ ssList(X1)
| ~ ssList(esk11_0)
| ~ ssItem(esk13_0) ),
inference(spm,[status(thm)],[89,1081,theory(equality)]) ).
cnf(1123,negated_conjecture,
( memberP(app(esk11_0,X1),esk13_0)
| ~ ssList(X1)
| $false
| ~ ssItem(esk13_0) ),
inference(rw,[status(thm)],[1107,128,theory(equality)]) ).
cnf(1124,negated_conjecture,
( memberP(app(esk11_0,X1),esk13_0)
| ~ ssList(X1)
| $false
| $false ),
inference(rw,[status(thm)],[1123,124,theory(equality)]) ).
cnf(1125,negated_conjecture,
( memberP(app(esk11_0,X1),esk13_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[1124,theory(equality)]) ).
cnf(1170,negated_conjecture,
( memberP(esk8_0,esk13_0)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[1125,139,theory(equality)]) ).
cnf(1179,negated_conjecture,
( memberP(esk8_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[1170,127,theory(equality)]) ).
cnf(1180,negated_conjecture,
memberP(esk8_0,esk13_0),
inference(cn,[status(thm)],[1179,theory(equality)]) ).
cnf(1181,negated_conjecture,
$false,
inference(sr,[status(thm)],[1180,866,theory(equality)]) ).
cnf(1182,negated_conjecture,
$false,
1181,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC378+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmpgk8LGP/sel_SWC378+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC378+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC378+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC378+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
%
%------------------------------------------------------------------------------