TSTP Solution File: SWC375+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWC375+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 11:40:11 EST 2010
% Result : Theorem 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 90 ( 23 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 97 ( 26 ~; 23 |; 33 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 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 : 25 ( 0 sgn 15 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(21,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| X4 != X3
| ! [X5] :
( ssItem(X5)
=> ( ( ~ memberP(X2,X5)
& ~ memberP(X1,X5) )
| ( memberP(X2,X5)
& memberP(X1,X5) ) ) ) ) ) ) ) ),
file('/tmp/tmpzdtz7V/sel_SWC375+1.p_1',co1) ).
fof(22,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| X4 != X3
| ! [X5] :
( ssItem(X5)
=> ( ( ~ memberP(X2,X5)
& ~ memberP(X1,X5) )
| ( memberP(X2,X5)
& memberP(X1,X5) ) ) ) ) ) ) ) ),
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
| X4 != X3
| ! [X5] :
( ssItem(X5)
=> ( ( ~ memberP(X2,X5)
& ~ memberP(X1,X5) )
| ( memberP(X2,X5)
& memberP(X1,X5) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[22,theory(equality)]) ).
fof(119,negated_conjecture,
? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& X2 = X4
& X1 = X3
& X4 = X3
& ? [X5] :
( ssItem(X5)
& ( memberP(X2,X5)
| memberP(X1,X5) )
& ( ~ memberP(X2,X5)
| ~ memberP(X1,X5) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(120,negated_conjecture,
? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& X7 = X9
& X6 = X8
& X9 = X8
& ? [X10] :
( ssItem(X10)
& ( memberP(X7,X10)
| memberP(X6,X10) )
& ( ~ memberP(X7,X10)
| ~ memberP(X6,X10) ) ) ) ) ) ),
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
& esk10_0 = esk9_0
& ssItem(esk11_0)
& ( memberP(esk8_0,esk11_0)
| memberP(esk7_0,esk11_0) )
& ( ~ memberP(esk8_0,esk11_0)
| ~ memberP(esk7_0,esk11_0) ) ),
inference(skolemize,[status(esa)],[120]) ).
cnf(122,negated_conjecture,
( ~ memberP(esk7_0,esk11_0)
| ~ memberP(esk8_0,esk11_0) ),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(123,negated_conjecture,
( memberP(esk7_0,esk11_0)
| memberP(esk8_0,esk11_0) ),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(125,negated_conjecture,
esk10_0 = esk9_0,
inference(split_conjunct,[status(thm)],[121]) ).
cnf(126,negated_conjecture,
esk7_0 = esk9_0,
inference(split_conjunct,[status(thm)],[121]) ).
cnf(127,negated_conjecture,
esk8_0 = esk10_0,
inference(split_conjunct,[status(thm)],[121]) ).
cnf(136,negated_conjecture,
esk8_0 = esk9_0,
inference(rw,[status(thm)],[125,127,theory(equality)]) ).
cnf(137,negated_conjecture,
esk8_0 = esk7_0,
inference(rw,[status(thm)],[136,126,theory(equality)]) ).
cnf(142,negated_conjecture,
( memberP(esk7_0,esk11_0)
| memberP(esk7_0,esk11_0) ),
inference(rw,[status(thm)],[123,137,theory(equality)]) ).
cnf(143,negated_conjecture,
memberP(esk7_0,esk11_0),
inference(cn,[status(thm)],[142,theory(equality)]) ).
cnf(144,negated_conjecture,
( $false
| ~ memberP(esk8_0,esk11_0) ),
inference(rw,[status(thm)],[122,143,theory(equality)]) ).
cnf(145,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[144,137,theory(equality)]),143,theory(equality)]) ).
cnf(146,negated_conjecture,
$false,
inference(cn,[status(thm)],[145,theory(equality)]) ).
cnf(147,negated_conjecture,
$false,
146,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC375+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmpzdtz7V/sel_SWC375+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC375+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC375+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC375+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
%
%------------------------------------------------------------------------------