TSTP Solution File: GEO195+3 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO195+3 : TPTP v5.0.0. Released v4.0.0.
% 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 08:51:02 EST 2010
% Result : Theorem 185.54s
% Output : CNFRefutation 185.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 18 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 25 ~; 19 |; 16 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 6 sgn 45 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X4,X5,X6] :
( apart_point_and_line(X4,X5)
=> ( distinct_lines(X5,X6)
| apart_point_and_line(X4,X6) ) ),
file('/tmp/tmppHKWp-/sel_GEO195+3.p_4',ceq2) ).
fof(8,axiom,
! [X4,X5,X6] :
( convergent_lines(X4,X5)
=> ( convergent_lines(X4,X6)
| convergent_lines(X5,X6) ) ),
file('/tmp/tmppHKWp-/sel_GEO195+3.p_4',ax6) ).
fof(16,axiom,
! [X4] : ~ convergent_lines(X4,X4),
file('/tmp/tmppHKWp-/sel_GEO195+3.p_4',apart3) ).
fof(21,axiom,
! [X4,X5] : ~ convergent_lines(parallel_through_point(X5,X4),X5),
file('/tmp/tmppHKWp-/sel_GEO195+3.p_4',cp1) ).
fof(23,axiom,
! [X4,X5] : ~ apart_point_and_line(X4,parallel_through_point(X5,X4)),
file('/tmp/tmppHKWp-/sel_GEO195+3.p_4',cp2) ).
fof(26,axiom,
! [X4,X5] :
( distinct_lines(X4,X5)
=> convergent_lines(X4,X5) ),
file('/tmp/tmppHKWp-/sel_GEO195+3.p_4',p1) ).
fof(31,conjecture,
! [X4,X5,X6] :
( ( convergent_lines(X4,X5)
& convergent_lines(X6,X5)
& convergent_lines(X4,X6) )
=> ( apart_point_and_line(intersection_point(X4,X5),X6)
=> apart_point_and_line(intersection_point(X5,X4),X6) ) ),
file('/tmp/tmppHKWp-/sel_GEO195+3.p_4',con) ).
fof(32,negated_conjecture,
~ ! [X4,X5,X6] :
( ( convergent_lines(X4,X5)
& convergent_lines(X6,X5)
& convergent_lines(X4,X6) )
=> ( apart_point_and_line(intersection_point(X4,X5),X6)
=> apart_point_and_line(intersection_point(X5,X4),X6) ) ),
inference(assume_negation,[status(cth)],[31]) ).
fof(41,plain,
! [X4] : ~ convergent_lines(X4,X4),
inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).
fof(42,plain,
! [X4,X5] : ~ convergent_lines(parallel_through_point(X5,X4),X5),
inference(fof_simplification,[status(thm)],[21,theory(equality)]) ).
fof(43,plain,
! [X4,X5] : ~ apart_point_and_line(X4,parallel_through_point(X5,X4)),
inference(fof_simplification,[status(thm)],[23,theory(equality)]) ).
fof(64,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_lines(X5,X6)
| apart_point_and_line(X4,X6) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(65,plain,
! [X7,X8,X9] :
( ~ apart_point_and_line(X7,X8)
| distinct_lines(X8,X9)
| apart_point_and_line(X7,X9) ),
inference(variable_rename,[status(thm)],[64]) ).
cnf(66,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
inference(split_conjunct,[status(thm)],[65]) ).
fof(75,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| convergent_lines(X4,X6)
| convergent_lines(X5,X6) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(76,plain,
! [X7,X8,X9] :
( ~ convergent_lines(X7,X8)
| convergent_lines(X7,X9)
| convergent_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[75]) ).
cnf(77,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[76]) ).
fof(97,plain,
! [X5] : ~ convergent_lines(X5,X5),
inference(variable_rename,[status(thm)],[41]) ).
cnf(98,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[97]) ).
fof(111,plain,
! [X6,X7] : ~ convergent_lines(parallel_through_point(X7,X6),X7),
inference(variable_rename,[status(thm)],[42]) ).
cnf(112,plain,
~ convergent_lines(parallel_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[111]) ).
fof(116,plain,
! [X6,X7] : ~ apart_point_and_line(X6,parallel_through_point(X7,X6)),
inference(variable_rename,[status(thm)],[43]) ).
cnf(117,plain,
~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
inference(split_conjunct,[status(thm)],[116]) ).
fof(123,plain,
! [X4,X5] :
( ~ distinct_lines(X4,X5)
| convergent_lines(X4,X5) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(124,plain,
! [X6,X7] :
( ~ distinct_lines(X6,X7)
| convergent_lines(X6,X7) ),
inference(variable_rename,[status(thm)],[123]) ).
cnf(125,plain,
( convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[124]) ).
fof(137,negated_conjecture,
? [X4,X5,X6] :
( convergent_lines(X4,X5)
& convergent_lines(X6,X5)
& convergent_lines(X4,X6)
& apart_point_and_line(intersection_point(X4,X5),X6)
& ~ apart_point_and_line(intersection_point(X5,X4),X6) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(138,negated_conjecture,
? [X7,X8,X9] :
( convergent_lines(X7,X8)
& convergent_lines(X9,X8)
& convergent_lines(X7,X9)
& apart_point_and_line(intersection_point(X7,X8),X9)
& ~ apart_point_and_line(intersection_point(X8,X7),X9) ),
inference(variable_rename,[status(thm)],[137]) ).
fof(139,negated_conjecture,
( convergent_lines(esk1_0,esk2_0)
& convergent_lines(esk3_0,esk2_0)
& convergent_lines(esk1_0,esk3_0)
& apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
& ~ apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0) ),
inference(skolemize,[status(esa)],[138]) ).
cnf(141,negated_conjecture,
apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(152,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),X1)
| distinct_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[66,141,theory(equality)]) ).
cnf(284,negated_conjecture,
distinct_lines(esk3_0,parallel_through_point(X1,intersection_point(esk1_0,esk2_0))),
inference(spm,[status(thm)],[117,152,theory(equality)]) ).
cnf(850,negated_conjecture,
convergent_lines(esk3_0,parallel_through_point(X1,intersection_point(esk1_0,esk2_0))),
inference(spm,[status(thm)],[125,284,theory(equality)]) ).
cnf(866,negated_conjecture,
( convergent_lines(parallel_through_point(X1,intersection_point(esk1_0,esk2_0)),X2)
| convergent_lines(esk3_0,X2) ),
inference(spm,[status(thm)],[77,850,theory(equality)]) ).
cnf(978,negated_conjecture,
convergent_lines(esk3_0,X1),
inference(spm,[status(thm)],[112,866,theory(equality)]) ).
cnf(983,negated_conjecture,
$false,
inference(spm,[status(thm)],[98,978,theory(equality)]) ).
cnf(1011,negated_conjecture,
$false,
983,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO195+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]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmppHKWp-/sel_GEO195+3.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmppHKWp-/sel_GEO195+3.p_2 with time limit 81
% -prover status ResourceOut
% --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]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmppHKWp-/sel_GEO195+3.p_3 with time limit 75
% -prover status ResourceOut
% --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/tmppHKWp-/sel_GEO195+3.p_4 with time limit 56
% -prover status Theorem
% Problem GEO195+3.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO195+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO195+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
%
%------------------------------------------------------------------------------