TSTP Solution File: SWC362+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWC362+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 11:38:38 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 103 ( 16 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 117 ( 33 ~; 31 |; 41 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(26,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ( ( ~ neq(X2,nil)
| ~ segmentP(X4,X3)
| segmentP(X2,X1) )
& ( ~ neq(X2,nil)
| neq(X4,nil) ) ) ) ) ) ) ),
file('/tmp/tmprrWdFC/sel_SWC362+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)
| ~ segmentP(X4,X3)
| segmentP(X2,X1) )
& ( ~ neq(X2,nil)
| 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)
| ~ segmentP(X4,X3)
| segmentP(X2,X1) )
& ( ~ neq(X2,nil)
| neq(X4,nil) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[27,theory(equality)]) ).
fof(141,negated_conjecture,
? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& X2 = X4
& X1 = X3
& ( ( neq(X2,nil)
& segmentP(X4,X3)
& ~ segmentP(X2,X1) )
| ( neq(X2,nil)
& ~ neq(X4,nil) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(142,negated_conjecture,
? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& X6 = X8
& X5 = X7
& ( ( neq(X6,nil)
& segmentP(X8,X7)
& ~ segmentP(X6,X5) )
| ( neq(X6,nil)
& ~ neq(X8,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)
& segmentP(esk10_0,esk9_0)
& ~ segmentP(esk8_0,esk7_0) )
| ( neq(esk8_0,nil)
& ~ 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(esk8_0,nil) )
& ( ~ neq(esk10_0,nil)
| neq(esk8_0,nil) )
& ( neq(esk8_0,nil)
| segmentP(esk10_0,esk9_0) )
& ( ~ neq(esk10_0,nil)
| segmentP(esk10_0,esk9_0) )
& ( neq(esk8_0,nil)
| ~ segmentP(esk8_0,esk7_0) )
& ( ~ neq(esk10_0,nil)
| ~ segmentP(esk8_0,esk7_0) ) ),
inference(distribute,[status(thm)],[143]) ).
cnf(145,negated_conjecture,
( ~ segmentP(esk8_0,esk7_0)
| ~ neq(esk10_0,nil) ),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(147,negated_conjecture,
( segmentP(esk10_0,esk9_0)
| ~ neq(esk10_0,nil) ),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(150,negated_conjecture,
( neq(esk8_0,nil)
| neq(esk8_0,nil) ),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(151,negated_conjecture,
esk7_0 = esk9_0,
inference(split_conjunct,[status(thm)],[144]) ).
cnf(152,negated_conjecture,
esk8_0 = esk10_0,
inference(split_conjunct,[status(thm)],[144]) ).
cnf(167,negated_conjecture,
( segmentP(esk8_0,esk7_0)
| ~ neq(esk10_0,nil) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[147,152,theory(equality)]),151,theory(equality)]) ).
cnf(168,negated_conjecture,
( segmentP(esk8_0,esk7_0)
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[167,152,theory(equality)]),150,theory(equality)]) ).
cnf(169,negated_conjecture,
segmentP(esk8_0,esk7_0),
inference(cn,[status(thm)],[168,theory(equality)]) ).
cnf(170,negated_conjecture,
( $false
| ~ segmentP(esk8_0,esk7_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[145,152,theory(equality)]),150,theory(equality)]) ).
cnf(171,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[170,169,theory(equality)]) ).
cnf(172,negated_conjecture,
$false,
inference(cn,[status(thm)],[171,theory(equality)]) ).
cnf(173,negated_conjecture,
$false,
172,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC362+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmprrWdFC/sel_SWC362+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC362+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC362+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC362+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
%
%------------------------------------------------------------------------------