TSTP Solution File: GEO269+3 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO269+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 09:12:48 EST 2010
% Result : Theorem 240.85s
% Output : CNFRefutation 240.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 17 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 89 ( 42 ~; 32 |; 9 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 62 ( 2 sgn 42 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(9,axiom,
! [X4,X5] :
( ( unequally_directed_lines(X4,X5)
& unequally_directed_lines(X4,reverse_line(X5)) )
=> ( left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ) ),
file('/tmp/tmpBOmt3F/sel_GEO269+3.p_5',ax9_basics) ).
fof(11,axiom,
! [X4,X5] :
~ ( left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
file('/tmp/tmpBOmt3F/sel_GEO269+3.p_5',ax11_basics) ).
fof(15,axiom,
! [X7,X8] :
( equally_directed_opposite_lines(X7,X8)
<=> ~ unequally_directed_opposite_lines(X7,X8) ),
file('/tmp/tmpBOmt3F/sel_GEO269+3.p_5',a5_defns) ).
fof(17,axiom,
! [X4,X5] :
( unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,reverse_line(X5)) ),
file('/tmp/tmpBOmt3F/sel_GEO269+3.p_5',ax8_basics) ).
fof(20,axiom,
! [X7,X8] :
( equally_directed_lines(X7,X8)
<=> ~ unequally_directed_lines(X7,X8) ),
file('/tmp/tmpBOmt3F/sel_GEO269+3.p_5',a4_defns) ).
fof(27,axiom,
! [X4] : equally_directed_lines(X4,X4),
file('/tmp/tmpBOmt3F/sel_GEO269+3.p_5',ax5_basics) ).
fof(30,axiom,
! [X7,X8] :
( unequally_directed_opposite_lines(X7,X8)
<=> unequally_directed_lines(X7,reverse_line(X8)) ),
file('/tmp/tmpBOmt3F/sel_GEO269+3.p_5',a1_defns) ).
fof(32,conjecture,
! [X4] : equally_directed_opposite_lines(X4,reverse_line(X4)),
file('/tmp/tmpBOmt3F/sel_GEO269+3.p_5',con) ).
fof(33,negated_conjecture,
~ ! [X4] : equally_directed_opposite_lines(X4,reverse_line(X4)),
inference(assume_negation,[status(cth)],[32]) ).
fof(37,plain,
! [X7,X8] :
( equally_directed_opposite_lines(X7,X8)
<=> ~ unequally_directed_opposite_lines(X7,X8) ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(38,plain,
! [X7,X8] :
( equally_directed_lines(X7,X8)
<=> ~ unequally_directed_lines(X7,X8) ),
inference(fof_simplification,[status(thm)],[20,theory(equality)]) ).
fof(68,plain,
! [X4,X5] :
( ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(X4,reverse_line(X5))
| left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(69,plain,
! [X6,X7] :
( ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,reverse_line(X7))
| left_convergent_lines(X6,X7)
| left_convergent_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[68]) ).
cnf(70,plain,
( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[69]) ).
fof(76,plain,
! [X4,X5] :
( ~ left_convergent_lines(X4,X5)
& ~ left_convergent_lines(X4,reverse_line(X5)) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(77,plain,
! [X6,X7] :
( ~ left_convergent_lines(X6,X7)
& ~ left_convergent_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[76]) ).
cnf(79,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[77]) ).
fof(89,plain,
! [X7,X8] :
( ( ~ equally_directed_opposite_lines(X7,X8)
| ~ unequally_directed_opposite_lines(X7,X8) )
& ( unequally_directed_opposite_lines(X7,X8)
| equally_directed_opposite_lines(X7,X8) ) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(90,plain,
! [X9,X10] :
( ( ~ equally_directed_opposite_lines(X9,X10)
| ~ unequally_directed_opposite_lines(X9,X10) )
& ( unequally_directed_opposite_lines(X9,X10)
| equally_directed_opposite_lines(X9,X10) ) ),
inference(variable_rename,[status(thm)],[89]) ).
cnf(91,plain,
( equally_directed_opposite_lines(X1,X2)
| unequally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[90]) ).
fof(96,plain,
! [X6,X7] :
( unequally_directed_lines(X6,X7)
| unequally_directed_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[17]) ).
cnf(97,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[96]) ).
fof(105,plain,
! [X7,X8] :
( ( ~ equally_directed_lines(X7,X8)
| ~ unequally_directed_lines(X7,X8) )
& ( unequally_directed_lines(X7,X8)
| equally_directed_lines(X7,X8) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(106,plain,
! [X9,X10] :
( ( ~ equally_directed_lines(X9,X10)
| ~ unequally_directed_lines(X9,X10) )
& ( unequally_directed_lines(X9,X10)
| equally_directed_lines(X9,X10) ) ),
inference(variable_rename,[status(thm)],[105]) ).
cnf(108,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ equally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[106]) ).
fof(127,plain,
! [X5] : equally_directed_lines(X5,X5),
inference(variable_rename,[status(thm)],[27]) ).
cnf(128,plain,
equally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[127]) ).
fof(138,plain,
! [X7,X8] :
( ( ~ unequally_directed_opposite_lines(X7,X8)
| unequally_directed_lines(X7,reverse_line(X8)) )
& ( ~ unequally_directed_lines(X7,reverse_line(X8))
| unequally_directed_opposite_lines(X7,X8) ) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(139,plain,
! [X9,X10] :
( ( ~ unequally_directed_opposite_lines(X9,X10)
| unequally_directed_lines(X9,reverse_line(X10)) )
& ( ~ unequally_directed_lines(X9,reverse_line(X10))
| unequally_directed_opposite_lines(X9,X10) ) ),
inference(variable_rename,[status(thm)],[138]) ).
cnf(141,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[139]) ).
fof(145,negated_conjecture,
? [X4] : ~ equally_directed_opposite_lines(X4,reverse_line(X4)),
inference(fof_nnf,[status(thm)],[33]) ).
fof(146,negated_conjecture,
? [X5] : ~ equally_directed_opposite_lines(X5,reverse_line(X5)),
inference(variable_rename,[status(thm)],[145]) ).
fof(147,negated_conjecture,
~ equally_directed_opposite_lines(esk1_0,reverse_line(esk1_0)),
inference(skolemize,[status(esa)],[146]) ).
cnf(148,negated_conjecture,
~ equally_directed_opposite_lines(esk1_0,reverse_line(esk1_0)),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(149,negated_conjecture,
unequally_directed_opposite_lines(esk1_0,reverse_line(esk1_0)),
inference(spm,[status(thm)],[148,91,theory(equality)]) ).
cnf(151,plain,
~ unequally_directed_lines(X1,X1),
inference(spm,[status(thm)],[108,128,theory(equality)]) ).
cnf(165,plain,
( left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[70,79,theory(equality)]) ).
cnf(166,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[165,79,theory(equality)]) ).
cnf(191,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(reverse_line(esk1_0))),
inference(spm,[status(thm)],[141,149,theory(equality)]) ).
cnf(193,negated_conjecture,
~ unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
inference(spm,[status(thm)],[166,191,theory(equality)]) ).
cnf(202,negated_conjecture,
unequally_directed_lines(esk1_0,esk1_0),
inference(spm,[status(thm)],[193,97,theory(equality)]) ).
cnf(203,negated_conjecture,
$false,
inference(sr,[status(thm)],[202,151,theory(equality)]) ).
cnf(204,negated_conjecture,
$false,
203,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO269+3.p
% --creating new selector for [GEO009+0.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpBOmt3F/sel_GEO269+3.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpBOmt3F/sel_GEO269+3.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [GEO009+0.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpBOmt3F/sel_GEO269+3.p_3 with time limit 75
% -prover status ResourceOut
% --creating new selector for [GEO009+0.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpBOmt3F/sel_GEO269+3.p_4 with time limit 55
% -prover status ResourceOut
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpBOmt3F/sel_GEO269+3.p_5 with time limit 54
% -prover status Theorem
% Problem GEO269+3.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO269+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO269+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
%
%------------------------------------------------------------------------------