%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO242+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 09:07:46 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 16 ~; 6 |; 17 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 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(8,axiom,
! [X2,X3] :
~ ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ),
file('/tmp/tmpbE18Re/sel_GEO242+3.p_1',ax11_basics) ).
fof(13,axiom,
! [X4,X5] :
( right_convergent_lines(X4,X5)
<=> left_convergent_lines(X4,reverse_line(X5)) ),
file('/tmp/tmpbE18Re/sel_GEO242+3.p_1',a3_defns) ).
fof(20,conjecture,
! [X1,X6,X2] :
( ( incident_point_and_line(X1,X2)
& distinct_points(X1,X6)
& right_convergent_lines(X2,line_connecting(X1,X6)) )
=> right_apart_point(X6,X2) ),
file('/tmp/tmpbE18Re/sel_GEO242+3.p_1',con) ).
fof(21,negated_conjecture,
~ ! [X1,X6,X2] :
( ( incident_point_and_line(X1,X2)
& distinct_points(X1,X6)
& right_convergent_lines(X2,line_connecting(X1,X6)) )
=> right_apart_point(X6,X2) ),
inference(assume_negation,[status(cth)],[20]) ).
fof(55,plain,
! [X2,X3] :
( ~ left_convergent_lines(X2,X3)
& ~ left_convergent_lines(X2,reverse_line(X3)) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(56,plain,
! [X4,X5] :
( ~ left_convergent_lines(X4,X5)
& ~ left_convergent_lines(X4,reverse_line(X5)) ),
inference(variable_rename,[status(thm)],[55]) ).
cnf(58,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[56]) ).
fof(71,plain,
! [X4,X5] :
( ( ~ right_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) )
& ( ~ left_convergent_lines(X4,reverse_line(X5))
| right_convergent_lines(X4,X5) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(72,plain,
! [X6,X7] :
( ( ~ right_convergent_lines(X6,X7)
| left_convergent_lines(X6,reverse_line(X7)) )
& ( ~ left_convergent_lines(X6,reverse_line(X7))
| right_convergent_lines(X6,X7) ) ),
inference(variable_rename,[status(thm)],[71]) ).
cnf(74,plain,
( left_convergent_lines(X1,reverse_line(X2))
| ~ right_convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[72]) ).
fof(98,negated_conjecture,
? [X1,X6,X2] :
( incident_point_and_line(X1,X2)
& distinct_points(X1,X6)
& right_convergent_lines(X2,line_connecting(X1,X6))
& ~ right_apart_point(X6,X2) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(99,negated_conjecture,
? [X7,X8,X9] :
( incident_point_and_line(X7,X9)
& distinct_points(X7,X8)
& right_convergent_lines(X9,line_connecting(X7,X8))
& ~ right_apart_point(X8,X9) ),
inference(variable_rename,[status(thm)],[98]) ).
fof(100,negated_conjecture,
( incident_point_and_line(esk1_0,esk3_0)
& distinct_points(esk1_0,esk2_0)
& right_convergent_lines(esk3_0,line_connecting(esk1_0,esk2_0))
& ~ right_apart_point(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[99]) ).
cnf(102,negated_conjecture,
right_convergent_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(107,plain,
~ right_convergent_lines(X1,X2),
inference(sr,[status(thm)],[74,58,theory(equality)]) ).
cnf(110,negated_conjecture,
$false,
inference(sr,[status(thm)],[102,107,theory(equality)]) ).
cnf(111,negated_conjecture,
$false,
110,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO242+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpbE18Re/sel_GEO242+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO242+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO242+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO242+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
%
%------------------------------------------------------------------------------