TSTP Solution File: GEO264+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO264+3 : TPTP v5.0.0. Released v4.0.0.
% 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 : Sat Dec 25 09:12:03 EST 2010
% Result : Theorem 0.29s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 10 ~; 1 |; 13 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 2 sgn 14 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,axiom,
! [X1,X2] :
~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ),
file('/tmp/tmpcpXvFT/sel_GEO264+3.p_1',ax10_basics) ).
fof(18,conjecture,
! [X1,X6,X7,X9] :
( left_apart_point(X7,line_connecting(X1,X6))
=> ( ( right_apart_point(X9,line_connecting(X6,X7))
& right_apart_point(X9,line_connecting(X7,X1)) )
=> left_apart_point(X9,line_connecting(X1,X6)) ) ),
file('/tmp/tmpcpXvFT/sel_GEO264+3.p_1',con) ).
fof(19,negated_conjecture,
~ ! [X1,X6,X7,X9] :
( left_apart_point(X7,line_connecting(X1,X6))
=> ( ( right_apart_point(X9,line_connecting(X6,X7))
& right_apart_point(X9,line_connecting(X7,X1)) )
=> left_apart_point(X9,line_connecting(X1,X6)) ) ),
inference(assume_negation,[status(cth)],[18]) ).
fof(50,plain,
! [X1,X2] :
( ~ left_apart_point(X1,X2)
& ~ left_apart_point(X1,reverse_line(X2)) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(51,plain,
! [X3,X4] :
( ~ left_apart_point(X3,X4)
& ~ left_apart_point(X3,reverse_line(X4)) ),
inference(variable_rename,[status(thm)],[50]) ).
cnf(53,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[51]) ).
fof(84,negated_conjecture,
? [X1,X6,X7,X9] :
( left_apart_point(X7,line_connecting(X1,X6))
& right_apart_point(X9,line_connecting(X6,X7))
& right_apart_point(X9,line_connecting(X7,X1))
& ~ left_apart_point(X9,line_connecting(X1,X6)) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(85,negated_conjecture,
? [X10,X11,X12,X13] :
( left_apart_point(X12,line_connecting(X10,X11))
& right_apart_point(X13,line_connecting(X11,X12))
& right_apart_point(X13,line_connecting(X12,X10))
& ~ left_apart_point(X13,line_connecting(X10,X11)) ),
inference(variable_rename,[status(thm)],[84]) ).
fof(86,negated_conjecture,
( left_apart_point(esk3_0,line_connecting(esk1_0,esk2_0))
& right_apart_point(esk4_0,line_connecting(esk2_0,esk3_0))
& right_apart_point(esk4_0,line_connecting(esk3_0,esk1_0))
& ~ left_apart_point(esk4_0,line_connecting(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[85]) ).
cnf(90,negated_conjecture,
left_apart_point(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(97,negated_conjecture,
$false,
inference(sr,[status(thm)],[90,53,theory(equality)]) ).
cnf(98,negated_conjecture,
$false,
97,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO264+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpcpXvFT/sel_GEO264+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO264+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO264+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO264+3.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
%
%------------------------------------------------------------------------------