TSTP Solution File: GEO238+3 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO238+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 09:06:57 EST 2010
% Result : Theorem 0.16s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 89 ( 32 ~; 27 |; 26 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 49 ( 6 sgn 30 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,axiom,
! [X1,X2] :
~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ),
file('/tmp/tmpiLAFoD/sel_GEO238+3.p_1',ax10_basics) ).
fof(13,axiom,
! [X1,X6,X2] :
( divides_points(X2,X1,X6)
<=> ( ( left_apart_point(X1,X2)
& right_apart_point(X6,X2) )
| ( right_apart_point(X1,X2)
& left_apart_point(X6,X2) ) ) ),
file('/tmp/tmpiLAFoD/sel_GEO238+3.p_1',a8_defns) ).
fof(19,conjecture,
! [X1,X6,X7,X2] :
( ( divides_points(X2,X1,X6)
& divides_points(X2,X1,X7) )
=> ~ divides_points(X2,X6,X7) ),
file('/tmp/tmpiLAFoD/sel_GEO238+3.p_1',con) ).
fof(20,negated_conjecture,
~ ! [X1,X6,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,negated_conjecture,
~ ! [X1,X6,X7,X2] :
( ( divides_points(X2,X1,X6)
& divides_points(X2,X1,X7) )
=> ~ divides_points(X2,X6,X7) ),
inference(fof_simplification,[status(thm)],[20,theory(equality)]) ).
fof(55,plain,
! [X1,X2] :
( ~ left_apart_point(X1,X2)
& ~ left_apart_point(X1,reverse_line(X2)) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(56,plain,
! [X3,X4] :
( ~ left_apart_point(X3,X4)
& ~ left_apart_point(X3,reverse_line(X4)) ),
inference(variable_rename,[status(thm)],[55]) ).
cnf(58,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[56]) ).
fof(70,plain,
! [X1,X6,X2] :
( ( ~ divides_points(X2,X1,X6)
| ( left_apart_point(X1,X2)
& right_apart_point(X6,X2) )
| ( right_apart_point(X1,X2)
& left_apart_point(X6,X2) ) )
& ( ( ( ~ left_apart_point(X1,X2)
| ~ right_apart_point(X6,X2) )
& ( ~ right_apart_point(X1,X2)
| ~ left_apart_point(X6,X2) ) )
| divides_points(X2,X1,X6) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(71,plain,
! [X7,X8,X9] :
( ( ~ divides_points(X9,X7,X8)
| ( left_apart_point(X7,X9)
& right_apart_point(X8,X9) )
| ( right_apart_point(X7,X9)
& left_apart_point(X8,X9) ) )
& ( ( ( ~ left_apart_point(X7,X9)
| ~ right_apart_point(X8,X9) )
& ( ~ right_apart_point(X7,X9)
| ~ left_apart_point(X8,X9) ) )
| divides_points(X9,X7,X8) ) ),
inference(variable_rename,[status(thm)],[70]) ).
fof(72,plain,
! [X7,X8,X9] :
( ( right_apart_point(X7,X9)
| left_apart_point(X7,X9)
| ~ divides_points(X9,X7,X8) )
& ( left_apart_point(X8,X9)
| left_apart_point(X7,X9)
| ~ divides_points(X9,X7,X8) )
& ( right_apart_point(X7,X9)
| right_apart_point(X8,X9)
| ~ divides_points(X9,X7,X8) )
& ( left_apart_point(X8,X9)
| right_apart_point(X8,X9)
| ~ divides_points(X9,X7,X8) )
& ( ~ left_apart_point(X7,X9)
| ~ right_apart_point(X8,X9)
| divides_points(X9,X7,X8) )
& ( ~ right_apart_point(X7,X9)
| ~ left_apart_point(X8,X9)
| divides_points(X9,X7,X8) ) ),
inference(distribute,[status(thm)],[71]) ).
cnf(77,plain,
( left_apart_point(X2,X1)
| left_apart_point(X3,X1)
| ~ divides_points(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[72]) ).
fof(95,negated_conjecture,
? [X1,X6,X7,X2] :
( divides_points(X2,X1,X6)
& divides_points(X2,X1,X7)
& divides_points(X2,X6,X7) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(96,negated_conjecture,
? [X8,X9,X10,X11] :
( divides_points(X11,X8,X9)
& divides_points(X11,X8,X10)
& divides_points(X11,X9,X10) ),
inference(variable_rename,[status(thm)],[95]) ).
fof(97,negated_conjecture,
( 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)],[96]) ).
cnf(100,negated_conjecture,
divides_points(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(104,plain,
( left_apart_point(X2,X1)
| ~ divides_points(X1,X2,X3) ),
inference(sr,[status(thm)],[77,58,theory(equality)]) ).
cnf(105,plain,
~ divides_points(X1,X2,X3),
inference(sr,[status(thm)],[104,58,theory(equality)]) ).
cnf(106,negated_conjecture,
$false,
inference(sr,[status(thm)],[100,105,theory(equality)]) ).
cnf(107,negated_conjecture,
$false,
106,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO238+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpiLAFoD/sel_GEO238+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO238+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO238+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO238+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
%
%------------------------------------------------------------------------------