TSTP Solution File: GEO237+3 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO237+3 : TPTP v5.0.0. Released v4.0.0.
% 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 : Sat Dec 25 09:06:49 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 78 ( 31 ~; 22 |; 19 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 48 ( 6 sgn 28 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( apart_point_and_line(X1,X2)
<=> ( left_apart_point(X1,X2)
| right_apart_point(X1,X2) ) ),
file('/tmp/tmpHwYovL/sel_GEO237+3.p_1',a6_defns) ).
fof(3,axiom,
! [X4,X5] :
( right_apart_point(X4,X5)
<=> left_apart_point(X4,reverse_line(X5)) ),
file('/tmp/tmpHwYovL/sel_GEO237+3.p_1',a2_defns) ).
fof(8,axiom,
! [X1,X2] :
~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ),
file('/tmp/tmpHwYovL/sel_GEO237+3.p_1',ax10_basics) ).
fof(19,conjecture,
! [X1,X6,X7,X2] :
( apart_point_and_line(X7,X2)
=> ( divides_points(X2,X1,X6)
=> ( divides_points(X2,X1,X7)
| divides_points(X2,X6,X7) ) ) ),
file('/tmp/tmpHwYovL/sel_GEO237+3.p_1',con) ).
fof(20,negated_conjecture,
~ ! [X1,X6,X7,X2] :
( apart_point_and_line(X7,X2)
=> ( divides_points(X2,X1,X6)
=> ( divides_points(X2,X1,X7)
| divides_points(X2,X6,X7) ) ) ),
inference(assume_negation,[status(cth)],[19]) ).
fof(24,plain,
! [X1,X2] :
( ( ~ apart_point_and_line(X1,X2)
| left_apart_point(X1,X2)
| right_apart_point(X1,X2) )
& ( ( ~ left_apart_point(X1,X2)
& ~ right_apart_point(X1,X2) )
| apart_point_and_line(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(25,plain,
! [X3,X4] :
( ( ~ apart_point_and_line(X3,X4)
| left_apart_point(X3,X4)
| right_apart_point(X3,X4) )
& ( ( ~ left_apart_point(X3,X4)
& ~ right_apart_point(X3,X4) )
| apart_point_and_line(X3,X4) ) ),
inference(variable_rename,[status(thm)],[24]) ).
fof(26,plain,
! [X3,X4] :
( ( ~ apart_point_and_line(X3,X4)
| left_apart_point(X3,X4)
| right_apart_point(X3,X4) )
& ( ~ left_apart_point(X3,X4)
| apart_point_and_line(X3,X4) )
& ( ~ right_apart_point(X3,X4)
| apart_point_and_line(X3,X4) ) ),
inference(distribute,[status(thm)],[25]) ).
cnf(29,plain,
( right_apart_point(X1,X2)
| left_apart_point(X1,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(32,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(33,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)],[32]) ).
cnf(35,plain,
( left_apart_point(X1,reverse_line(X2))
| ~ right_apart_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[33]) ).
fof(54,plain,
! [X1,X2] :
( ~ left_apart_point(X1,X2)
& ~ left_apart_point(X1,reverse_line(X2)) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(55,plain,
! [X3,X4] :
( ~ left_apart_point(X3,X4)
& ~ left_apart_point(X3,reverse_line(X4)) ),
inference(variable_rename,[status(thm)],[54]) ).
cnf(57,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[55]) ).
fof(94,negated_conjecture,
? [X1,X6,X7,X2] :
( apart_point_and_line(X7,X2)
& divides_points(X2,X1,X6)
& ~ divides_points(X2,X1,X7)
& ~ divides_points(X2,X6,X7) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(95,negated_conjecture,
? [X8,X9,X10,X11] :
( apart_point_and_line(X10,X11)
& divides_points(X11,X8,X9)
& ~ divides_points(X11,X8,X10)
& ~ divides_points(X11,X9,X10) ),
inference(variable_rename,[status(thm)],[94]) ).
fof(96,negated_conjecture,
( apart_point_and_line(esk3_0,esk4_0)
& divides_points(esk4_0,esk1_0,esk2_0)
& ~ divides_points(esk4_0,esk1_0,esk3_0)
& ~ divides_points(esk4_0,esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[95]) ).
cnf(100,negated_conjecture,
apart_point_and_line(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(101,plain,
~ right_apart_point(X1,X2),
inference(sr,[status(thm)],[35,57,theory(equality)]) ).
cnf(105,plain,
( right_apart_point(X1,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(sr,[status(thm)],[29,57,theory(equality)]) ).
cnf(106,plain,
~ apart_point_and_line(X1,X2),
inference(sr,[status(thm)],[105,101,theory(equality)]) ).
cnf(107,negated_conjecture,
$false,
inference(sr,[status(thm)],[100,106,theory(equality)]) ).
cnf(108,negated_conjecture,
$false,
107,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO237+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpHwYovL/sel_GEO237+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO237+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO237+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO237+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
%
%------------------------------------------------------------------------------