TSTP Solution File: SWC206+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWC206+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 10:51:22 EST 2010
% Result : Theorem 0.19s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 48 ( 19 unt; 0 def)
% Number of atoms : 208 ( 55 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 241 ( 81 ~; 79 |; 61 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 42 ( 0 sgn 29 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(17,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/tmp/tmprm7Dlz/sel_SWC206+1.p_1',ax58) ).
fof(18,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/tmp/tmprm7Dlz/sel_SWC206+1.p_1',ax15) ).
fof(20,axiom,
ssList(nil),
file('/tmp/tmprm7Dlz/sel_SWC206+1.p_1',ax17) ).
fof(26,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| neq(X1,nil)
| ( nil != X3
& nil = X4 )
| ( ! [X5] :
( ssList(X5)
=> ( ~ neq(X5,nil)
| ~ segmentP(X4,X5)
| ~ segmentP(X3,X5) ) )
& neq(X4,nil) ) ) ) ) ) ),
file('/tmp/tmprm7Dlz/sel_SWC206+1.p_1',co1) ).
fof(27,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| neq(X1,nil)
| ( nil != X3
& nil = X4 )
| ( ! [X5] :
( ssList(X5)
=> ( ~ neq(X5,nil)
| ~ segmentP(X4,X5)
| ~ segmentP(X3,X5) ) )
& neq(X4,nil) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[26]) ).
fof(28,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| neq(X1,nil)
| ( nil != X3
& nil = X4 )
| ( ! [X5] :
( ssList(X5)
=> ( ~ neq(X5,nil)
| ~ segmentP(X4,X5)
| ~ segmentP(X3,X5) ) )
& neq(X4,nil) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[27,theory(equality)]) ).
fof(107,plain,
! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(nil,X1)
| nil = X1 )
& ( nil != X1
| segmentP(nil,X1) ) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(108,plain,
! [X2] :
( ~ ssList(X2)
| ( ( ~ segmentP(nil,X2)
| nil = X2 )
& ( nil != X2
| segmentP(nil,X2) ) ) ),
inference(variable_rename,[status(thm)],[107]) ).
fof(109,plain,
! [X2] :
( ( ~ segmentP(nil,X2)
| nil = X2
| ~ ssList(X2) )
& ( nil != X2
| segmentP(nil,X2)
| ~ ssList(X2) ) ),
inference(distribute,[status(thm)],[108]) ).
cnf(111,plain,
( nil = X1
| ~ ssList(X1)
| ~ segmentP(nil,X1) ),
inference(split_conjunct,[status(thm)],[109]) ).
fof(112,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ neq(X1,X2)
| X1 != X2 )
& ( X1 = X2
| neq(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(113,plain,
! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ( ( ~ neq(X3,X4)
| X3 != X4 )
& ( X3 = X4
| neq(X3,X4) ) ) ) ),
inference(variable_rename,[status(thm)],[112]) ).
fof(114,plain,
! [X3,X4] :
( ~ ssList(X4)
| ( ( ~ neq(X3,X4)
| X3 != X4 )
& ( X3 = X4
| neq(X3,X4) ) )
| ~ ssList(X3) ),
inference(shift_quantors,[status(thm)],[113]) ).
fof(115,plain,
! [X3,X4] :
( ( ~ neq(X3,X4)
| X3 != X4
| ~ ssList(X4)
| ~ ssList(X3) )
& ( X3 = X4
| neq(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3) ) ),
inference(distribute,[status(thm)],[114]) ).
cnf(116,plain,
( neq(X1,X2)
| X1 = X2
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[115]) ).
cnf(122,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[20]) ).
fof(141,negated_conjecture,
? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& X2 = X4
& X1 = X3
& neq(X2,nil)
& ~ neq(X1,nil)
& ( nil = X3
| nil != X4 )
& ( ? [X5] :
( ssList(X5)
& neq(X5,nil)
& segmentP(X4,X5)
& segmentP(X3,X5) )
| ~ neq(X4,nil) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(142,negated_conjecture,
? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& X7 = X9
& X6 = X8
& neq(X7,nil)
& ~ neq(X6,nil)
& ( nil = X8
| nil != X9 )
& ( ? [X10] :
( ssList(X10)
& neq(X10,nil)
& segmentP(X9,X10)
& segmentP(X8,X10) )
| ~ neq(X9,nil) ) ) ) ) ),
inference(variable_rename,[status(thm)],[141]) ).
fof(143,negated_conjecture,
( ssList(esk7_0)
& ssList(esk8_0)
& ssList(esk9_0)
& ssList(esk10_0)
& esk8_0 = esk10_0
& esk7_0 = esk9_0
& neq(esk8_0,nil)
& ~ neq(esk7_0,nil)
& ( nil = esk9_0
| nil != esk10_0 )
& ( ( ssList(esk11_0)
& neq(esk11_0,nil)
& segmentP(esk10_0,esk11_0)
& segmentP(esk9_0,esk11_0) )
| ~ neq(esk10_0,nil) ) ),
inference(skolemize,[status(esa)],[142]) ).
fof(144,negated_conjecture,
( ssList(esk7_0)
& ssList(esk8_0)
& ssList(esk9_0)
& ssList(esk10_0)
& esk8_0 = esk10_0
& esk7_0 = esk9_0
& neq(esk8_0,nil)
& ~ neq(esk7_0,nil)
& ( nil = esk9_0
| nil != esk10_0 )
& ( ssList(esk11_0)
| ~ neq(esk10_0,nil) )
& ( neq(esk11_0,nil)
| ~ neq(esk10_0,nil) )
& ( segmentP(esk10_0,esk11_0)
| ~ neq(esk10_0,nil) )
& ( segmentP(esk9_0,esk11_0)
| ~ neq(esk10_0,nil) ) ),
inference(distribute,[status(thm)],[143]) ).
cnf(145,negated_conjecture,
( segmentP(esk9_0,esk11_0)
| ~ neq(esk10_0,nil) ),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(147,negated_conjecture,
( neq(esk11_0,nil)
| ~ neq(esk10_0,nil) ),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(148,negated_conjecture,
( ssList(esk11_0)
| ~ neq(esk10_0,nil) ),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(150,negated_conjecture,
~ neq(esk7_0,nil),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(151,negated_conjecture,
neq(esk8_0,nil),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(152,negated_conjecture,
esk7_0 = esk9_0,
inference(split_conjunct,[status(thm)],[144]) ).
cnf(153,negated_conjecture,
esk8_0 = esk10_0,
inference(split_conjunct,[status(thm)],[144]) ).
cnf(155,negated_conjecture,
ssList(esk9_0),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(160,negated_conjecture,
neq(esk10_0,nil),
inference(rw,[status(thm)],[151,153,theory(equality)]) ).
cnf(161,negated_conjecture,
~ neq(esk9_0,nil),
inference(rw,[status(thm)],[150,152,theory(equality)]) ).
cnf(162,negated_conjecture,
( ssList(esk11_0)
| $false ),
inference(rw,[status(thm)],[148,160,theory(equality)]) ).
cnf(163,negated_conjecture,
ssList(esk11_0),
inference(cn,[status(thm)],[162,theory(equality)]) ).
cnf(164,negated_conjecture,
( neq(esk11_0,nil)
| $false ),
inference(rw,[status(thm)],[147,160,theory(equality)]) ).
cnf(165,negated_conjecture,
neq(esk11_0,nil),
inference(cn,[status(thm)],[164,theory(equality)]) ).
cnf(166,negated_conjecture,
( segmentP(esk9_0,esk11_0)
| $false ),
inference(rw,[status(thm)],[145,160,theory(equality)]) ).
cnf(167,negated_conjecture,
segmentP(esk9_0,esk11_0),
inference(cn,[status(thm)],[166,theory(equality)]) ).
cnf(173,negated_conjecture,
( esk9_0 = nil
| ~ ssList(nil)
| ~ ssList(esk9_0) ),
inference(spm,[status(thm)],[161,116,theory(equality)]) ).
cnf(174,negated_conjecture,
( esk9_0 = nil
| $false
| ~ ssList(esk9_0) ),
inference(rw,[status(thm)],[173,122,theory(equality)]) ).
cnf(175,negated_conjecture,
( esk9_0 = nil
| $false
| $false ),
inference(rw,[status(thm)],[174,155,theory(equality)]) ).
cnf(176,negated_conjecture,
esk9_0 = nil,
inference(cn,[status(thm)],[175,theory(equality)]) ).
cnf(372,negated_conjecture,
segmentP(nil,esk11_0),
inference(rw,[status(thm)],[167,176,theory(equality)]) ).
cnf(377,negated_conjecture,
~ neq(nil,nil),
inference(rw,[status(thm)],[161,176,theory(equality)]) ).
cnf(379,negated_conjecture,
( nil = esk11_0
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[111,372,theory(equality)]) ).
cnf(386,negated_conjecture,
( nil = esk11_0
| $false ),
inference(rw,[status(thm)],[379,163,theory(equality)]) ).
cnf(387,negated_conjecture,
nil = esk11_0,
inference(cn,[status(thm)],[386,theory(equality)]) ).
cnf(409,negated_conjecture,
neq(nil,nil),
inference(rw,[status(thm)],[165,387,theory(equality)]) ).
cnf(440,negated_conjecture,
$false,
inference(sr,[status(thm)],[409,377,theory(equality)]) ).
cnf(441,negated_conjecture,
$false,
440,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC206+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmprm7Dlz/sel_SWC206+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC206+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC206+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC206+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
%
%------------------------------------------------------------------------------