TSTP Solution File: GEO178+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO178+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 08:45:35 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% 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(2,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_points(X1,X3)
| apart_point_and_line(X3,X2) ) ),
file('/tmp/tmp8WUZ-X/sel_GEO178+1.p_1',ceq1) ).
fof(4,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('/tmp/tmp8WUZ-X/sel_GEO178+1.p_1',ci1) ).
fof(5,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
file('/tmp/tmp8WUZ-X/sel_GEO178+1.p_1',ci2) ).
fof(6,conjecture,
! [X1,X2,X3] :
( ( distinct_points(X1,X2)
& apart_point_and_line(X3,line_connecting(X1,X2)) )
=> ( distinct_points(X3,X1)
& distinct_points(X3,X2) ) ),
file('/tmp/tmp8WUZ-X/sel_GEO178+1.p_1',con) ).
fof(7,negated_conjecture,
~ ! [X1,X2,X3] :
( ( distinct_points(X1,X2)
& apart_point_and_line(X3,line_connecting(X1,X2)) )
=> ( distinct_points(X3,X1)
& distinct_points(X3,X2) ) ),
inference(assume_negation,[status(cth)],[6]) ).
fof(9,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(10,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(13,plain,
! [X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
| distinct_points(X1,X3)
| apart_point_and_line(X3,X2) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(14,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_points(X4,X6)
| apart_point_and_line(X6,X5) ),
inference(variable_rename,[status(thm)],[13]) ).
cnf(15,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,X2) ),
inference(split_conjunct,[status(thm)],[14]) ).
fof(19,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(20,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[19]) ).
cnf(21,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[20]) ).
fof(22,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(23,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[22]) ).
cnf(24,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(split_conjunct,[status(thm)],[23]) ).
fof(25,negated_conjecture,
? [X1,X2,X3] :
( distinct_points(X1,X2)
& apart_point_and_line(X3,line_connecting(X1,X2))
& ( ~ distinct_points(X3,X1)
| ~ distinct_points(X3,X2) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(26,negated_conjecture,
? [X4,X5,X6] :
( distinct_points(X4,X5)
& apart_point_and_line(X6,line_connecting(X4,X5))
& ( ~ distinct_points(X6,X4)
| ~ distinct_points(X6,X5) ) ),
inference(variable_rename,[status(thm)],[25]) ).
fof(27,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)],[26]) ).
cnf(28,negated_conjecture,
( ~ distinct_points(esk3_0,esk2_0)
| ~ distinct_points(esk3_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(29,negated_conjecture,
apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(30,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(32,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,X1) ),
inference(spm,[status(thm)],[15,29,theory(equality)]) ).
cnf(37,negated_conjecture,
( distinct_points(esk3_0,esk2_0)
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[24,32,theory(equality)]) ).
cnf(38,negated_conjecture,
( distinct_points(esk3_0,esk1_0)
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[21,32,theory(equality)]) ).
cnf(39,negated_conjecture,
( distinct_points(esk3_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[37,30,theory(equality)]) ).
cnf(40,negated_conjecture,
distinct_points(esk3_0,esk2_0),
inference(cn,[status(thm)],[39,theory(equality)]) ).
cnf(41,negated_conjecture,
( distinct_points(esk3_0,esk1_0)
| $false ),
inference(rw,[status(thm)],[38,30,theory(equality)]) ).
cnf(42,negated_conjecture,
distinct_points(esk3_0,esk1_0),
inference(cn,[status(thm)],[41,theory(equality)]) ).
cnf(44,negated_conjecture,
( ~ distinct_points(esk3_0,esk1_0)
| $false ),
inference(rw,[status(thm)],[28,40,theory(equality)]) ).
cnf(45,negated_conjecture,
~ distinct_points(esk3_0,esk1_0),
inference(cn,[status(thm)],[44,theory(equality)]) ).
cnf(50,negated_conjecture,
$false,
inference(rw,[status(thm)],[45,42,theory(equality)]) ).
cnf(51,negated_conjecture,
$false,
inference(cn,[status(thm)],[50,theory(equality)]) ).
cnf(52,negated_conjecture,
$false,
51,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO178+1.p
% --creating new selector for [GEO006+0.ax]
% -running prover on /tmp/tmp8WUZ-X/sel_GEO178+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO178+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO178+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO178+1.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
%
%------------------------------------------------------------------------------