TSTP Solution File: GEO240+3 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO240+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 09:07:27 EST 2010
% Result : Theorem 0.16s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 16 ~; 6 |; 12 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 4 sgn 18 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X4,X5] :
( right_apart_point(X4,X5)
<=> left_apart_point(X4,reverse_line(X5)) ),
file('/tmp/tmpymuEi3/sel_GEO240+3.p_1',a2_defns) ).
fof(9,axiom,
! [X1,X2] :
~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ),
file('/tmp/tmpymuEi3/sel_GEO240+3.p_1',ax10_basics) ).
fof(20,conjecture,
! [X1,X6,X2] :
( ( incident_point_and_line(X1,X2)
& right_apart_point(X6,X2) )
=> right_convergent_lines(X2,line_connecting(X1,X6)) ),
file('/tmp/tmpymuEi3/sel_GEO240+3.p_1',con) ).
fof(21,negated_conjecture,
~ ! [X1,X6,X2] :
( ( incident_point_and_line(X1,X2)
& right_apart_point(X6,X2) )
=> right_convergent_lines(X2,line_connecting(X1,X6)) ),
inference(assume_negation,[status(cth)],[20]) ).
fof(33,plain,
! [X4,X5] :
( ( ~ right_apart_point(X4,X5)
| left_apart_point(X4,reverse_line(X5)) )
& ( ~ left_apart_point(X4,reverse_line(X5))
| right_apart_point(X4,X5) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(34,plain,
! [X6,X7] :
( ( ~ right_apart_point(X6,X7)
| left_apart_point(X6,reverse_line(X7)) )
& ( ~ left_apart_point(X6,reverse_line(X7))
| right_apart_point(X6,X7) ) ),
inference(variable_rename,[status(thm)],[33]) ).
cnf(36,plain,
( left_apart_point(X1,reverse_line(X2))
| ~ right_apart_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(59,plain,
! [X1,X2] :
( ~ left_apart_point(X1,X2)
& ~ left_apart_point(X1,reverse_line(X2)) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(60,plain,
! [X3,X4] :
( ~ left_apart_point(X3,X4)
& ~ left_apart_point(X3,reverse_line(X4)) ),
inference(variable_rename,[status(thm)],[59]) ).
cnf(62,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[60]) ).
fof(98,negated_conjecture,
? [X1,X6,X2] :
( incident_point_and_line(X1,X2)
& right_apart_point(X6,X2)
& ~ right_convergent_lines(X2,line_connecting(X1,X6)) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(99,negated_conjecture,
? [X7,X8,X9] :
( incident_point_and_line(X7,X9)
& right_apart_point(X8,X9)
& ~ right_convergent_lines(X9,line_connecting(X7,X8)) ),
inference(variable_rename,[status(thm)],[98]) ).
fof(100,negated_conjecture,
( incident_point_and_line(esk1_0,esk3_0)
& right_apart_point(esk2_0,esk3_0)
& ~ right_convergent_lines(esk3_0,line_connecting(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[99]) ).
cnf(102,negated_conjecture,
right_apart_point(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(105,plain,
~ right_apart_point(X1,X2),
inference(sr,[status(thm)],[36,62,theory(equality)]) ).
cnf(106,negated_conjecture,
$false,
inference(sr,[status(thm)],[102,105,theory(equality)]) ).
cnf(107,negated_conjecture,
$false,
106,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO240+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpymuEi3/sel_GEO240+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO240+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO240+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO240+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
%
%------------------------------------------------------------------------------