TSTP Solution File: GEO178+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO178+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 08:45:50 EST 2010
% Result : Theorem 0.18s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 32 ~; 23 |; 10 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 31 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X3,X4,X5] :
( apart_point_and_line(X3,X4)
=> ( distinct_points(X3,X5)
| apart_point_and_line(X5,X4) ) ),
file('/tmp/tmpBv9aa1/sel_GEO178+3.p_1',ceq1) ).
fof(8,axiom,
! [X3,X4] :
( distinct_points(X3,X4)
=> ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
file('/tmp/tmpBv9aa1/sel_GEO178+3.p_1',ci2) ).
fof(9,axiom,
! [X3,X4] :
( distinct_points(X3,X4)
=> ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
file('/tmp/tmpBv9aa1/sel_GEO178+3.p_1',ci1) ).
fof(16,conjecture,
! [X3,X4,X5] :
( ( distinct_points(X3,X4)
& apart_point_and_line(X5,line_connecting(X3,X4)) )
=> ( distinct_points(X5,X3)
& distinct_points(X5,X4) ) ),
file('/tmp/tmpBv9aa1/sel_GEO178+3.p_1',con) ).
fof(17,negated_conjecture,
~ ! [X3,X4,X5] :
( ( distinct_points(X3,X4)
& apart_point_and_line(X5,line_connecting(X3,X4)) )
=> ( distinct_points(X5,X3)
& distinct_points(X5,X4) ) ),
inference(assume_negation,[status(cth)],[16]) ).
fof(18,plain,
! [X3,X4] :
( distinct_points(X3,X4)
=> ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(19,plain,
! [X3,X4] :
( distinct_points(X3,X4)
=> ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(41,plain,
! [X3,X4,X5] :
( ~ apart_point_and_line(X3,X4)
| distinct_points(X3,X5)
| apart_point_and_line(X5,X4) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(42,plain,
! [X6,X7,X8] :
( ~ apart_point_and_line(X6,X7)
| distinct_points(X6,X8)
| apart_point_and_line(X8,X7) ),
inference(variable_rename,[status(thm)],[41]) ).
cnf(43,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,X2) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(44,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(45,plain,
! [X5,X6] :
( ~ distinct_points(X5,X6)
| ~ apart_point_and_line(X6,line_connecting(X5,X6)) ),
inference(variable_rename,[status(thm)],[44]) ).
cnf(46,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(47,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(48,plain,
! [X5,X6] :
( ~ distinct_points(X5,X6)
| ~ apart_point_and_line(X5,line_connecting(X5,X6)) ),
inference(variable_rename,[status(thm)],[47]) ).
cnf(49,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[48]) ).
fof(65,negated_conjecture,
? [X3,X4,X5] :
( distinct_points(X3,X4)
& apart_point_and_line(X5,line_connecting(X3,X4))
& ( ~ distinct_points(X5,X3)
| ~ distinct_points(X5,X4) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(66,negated_conjecture,
? [X6,X7,X8] :
( distinct_points(X6,X7)
& apart_point_and_line(X8,line_connecting(X6,X7))
& ( ~ distinct_points(X8,X6)
| ~ distinct_points(X8,X7) ) ),
inference(variable_rename,[status(thm)],[65]) ).
fof(67,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
& ( ~ distinct_points(esk3_0,esk1_0)
| ~ distinct_points(esk3_0,esk2_0) ) ),
inference(skolemize,[status(esa)],[66]) ).
cnf(68,negated_conjecture,
( ~ distinct_points(esk3_0,esk2_0)
| ~ distinct_points(esk3_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(69,negated_conjecture,
apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(70,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(72,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,X1) ),
inference(spm,[status(thm)],[43,69,theory(equality)]) ).
cnf(83,negated_conjecture,
( distinct_points(esk3_0,esk2_0)
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[46,72,theory(equality)]) ).
cnf(84,negated_conjecture,
( distinct_points(esk3_0,esk1_0)
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[49,72,theory(equality)]) ).
cnf(86,negated_conjecture,
( distinct_points(esk3_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[83,70,theory(equality)]) ).
cnf(87,negated_conjecture,
distinct_points(esk3_0,esk2_0),
inference(cn,[status(thm)],[86,theory(equality)]) ).
cnf(88,negated_conjecture,
( distinct_points(esk3_0,esk1_0)
| $false ),
inference(rw,[status(thm)],[84,70,theory(equality)]) ).
cnf(89,negated_conjecture,
distinct_points(esk3_0,esk1_0),
inference(cn,[status(thm)],[88,theory(equality)]) ).
cnf(91,negated_conjecture,
( ~ distinct_points(esk3_0,esk1_0)
| $false ),
inference(rw,[status(thm)],[68,87,theory(equality)]) ).
cnf(92,negated_conjecture,
~ distinct_points(esk3_0,esk1_0),
inference(cn,[status(thm)],[91,theory(equality)]) ).
cnf(94,negated_conjecture,
$false,
inference(rw,[status(thm)],[92,89,theory(equality)]) ).
cnf(95,negated_conjecture,
$false,
inference(cn,[status(thm)],[94,theory(equality)]) ).
cnf(96,negated_conjecture,
$false,
95,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO178+3.p
% --creating new selector for [GEO006+3.ax, GEO006+0.ax, GEO006+1.ax, GEO006+2.ax, GEO006+4.ax, GEO006+5.ax, GEO006+6.ax]
% -running prover on /tmp/tmpBv9aa1/sel_GEO178+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO178+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO178+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO178+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
%
%------------------------------------------------------------------------------