TSTP Solution File: GEO268+3 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO268+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 09:12:38 EST 2010
% Result : Theorem 240.78s
% Output : CNFRefutation 240.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 53 ( 14 unt; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 115 ( 48 ~; 50 |; 10 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 76 ( 2 sgn 45 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,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/tmpjkzUxX/sel_GEO268+3.p_5',ax9_basics) ).
fof(8,axiom,
! [X4,X5,X6] :
( unequally_directed_lines(X4,X5)
=> ( unequally_directed_lines(X4,X6)
| unequally_directed_lines(X5,X6) ) ),
file('/tmp/tmpjkzUxX/sel_GEO268+3.p_5',ax6_basics) ).
fof(10,axiom,
! [X4] : equally_directed_lines(X4,X4),
file('/tmp/tmpjkzUxX/sel_GEO268+3.p_5',ax5_basics) ).
fof(11,axiom,
! [X4,X5] :
~ ( left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
file('/tmp/tmpjkzUxX/sel_GEO268+3.p_5',ax11_basics) ).
fof(16,axiom,
! [X4,X5] :
( unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,reverse_line(X5)) ),
file('/tmp/tmpjkzUxX/sel_GEO268+3.p_5',ax8_basics) ).
fof(19,axiom,
! [X7,X8] :
( equally_directed_lines(X7,X8)
<=> ~ unequally_directed_lines(X7,X8) ),
file('/tmp/tmpjkzUxX/sel_GEO268+3.p_5',a4_defns) ).
fof(29,axiom,
! [X7,X8] :
( unequally_directed_opposite_lines(X7,X8)
<=> unequally_directed_lines(X7,reverse_line(X8)) ),
file('/tmp/tmpjkzUxX/sel_GEO268+3.p_5',a1_defns) ).
fof(31,conjecture,
! [X4,X5] :
( unequally_directed_lines(X4,X5)
<=> unequally_directed_opposite_lines(X4,reverse_line(X5)) ),
file('/tmp/tmpjkzUxX/sel_GEO268+3.p_5',con) ).
fof(32,negated_conjecture,
~ ! [X4,X5] :
( unequally_directed_lines(X4,X5)
<=> unequally_directed_opposite_lines(X4,reverse_line(X5)) ),
inference(assume_negation,[status(cth)],[31]) ).
fof(35,plain,
! [X7,X8] :
( equally_directed_lines(X7,X8)
<=> ~ unequally_directed_lines(X7,X8) ),
inference(fof_simplification,[status(thm)],[19,theory(equality)]) ).
fof(43,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)],[2]) ).
fof(44,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)],[43]) ).
cnf(45,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)],[44]) ).
fof(63,plain,
! [X4,X5,X6] :
( ~ unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,X6)
| unequally_directed_lines(X5,X6) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(64,plain,
! [X7,X8,X9] :
( ~ unequally_directed_lines(X7,X8)
| unequally_directed_lines(X7,X9)
| unequally_directed_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[63]) ).
cnf(65,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| ~ unequally_directed_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[64]) ).
fof(69,plain,
! [X5] : equally_directed_lines(X5,X5),
inference(variable_rename,[status(thm)],[10]) ).
cnf(70,plain,
equally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[69]) ).
fof(71,plain,
! [X4,X5] :
( ~ left_convergent_lines(X4,X5)
& ~ left_convergent_lines(X4,reverse_line(X5)) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(72,plain,
! [X6,X7] :
( ~ left_convergent_lines(X6,X7)
& ~ left_convergent_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[71]) ).
cnf(74,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[72]) ).
fof(87,plain,
! [X6,X7] :
( unequally_directed_lines(X6,X7)
| unequally_directed_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[16]) ).
cnf(88,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[87]) ).
fof(96,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)],[35]) ).
fof(97,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)],[96]) ).
cnf(99,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ equally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[97]) ).
fof(132,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)],[29]) ).
fof(133,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)],[132]) ).
cnf(134,plain,
( unequally_directed_opposite_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[133]) ).
cnf(135,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[133]) ).
fof(139,negated_conjecture,
? [X4,X5] :
( ( ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_opposite_lines(X4,reverse_line(X5)) )
& ( unequally_directed_lines(X4,X5)
| unequally_directed_opposite_lines(X4,reverse_line(X5)) ) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(140,negated_conjecture,
? [X6,X7] :
( ( ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_opposite_lines(X6,reverse_line(X7)) )
& ( unequally_directed_lines(X6,X7)
| unequally_directed_opposite_lines(X6,reverse_line(X7)) ) ),
inference(variable_rename,[status(thm)],[139]) ).
fof(141,negated_conjecture,
( ( ~ unequally_directed_lines(esk1_0,esk2_0)
| ~ unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0)) )
& ( unequally_directed_lines(esk1_0,esk2_0)
| unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0)) ) ),
inference(skolemize,[status(esa)],[140]) ).
cnf(142,negated_conjecture,
( unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0))
| unequally_directed_lines(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[141]) ).
cnf(143,negated_conjecture,
( ~ unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0))
| ~ unequally_directed_lines(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[141]) ).
cnf(144,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(reverse_line(esk2_0)))
| unequally_directed_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[135,142,theory(equality)]) ).
cnf(149,plain,
~ unequally_directed_lines(X1,X1),
inference(spm,[status(thm)],[99,70,theory(equality)]) ).
cnf(162,plain,
( left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[45,74,theory(equality)]) ).
cnf(163,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[162,74,theory(equality)]) ).
cnf(186,negated_conjecture,
( unequally_directed_lines(esk1_0,esk2_0)
| ~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)) ),
inference(spm,[status(thm)],[163,144,theory(equality)]) ).
cnf(187,plain,
unequally_directed_lines(reverse_line(X1),X1),
inference(spm,[status(thm)],[149,88,theory(equality)]) ).
cnf(189,plain,
~ unequally_directed_lines(reverse_line(reverse_line(X1)),X1),
inference(spm,[status(thm)],[163,187,theory(equality)]) ).
cnf(195,negated_conjecture,
unequally_directed_lines(esk1_0,esk2_0),
inference(csr,[status(thm)],[186,88]) ).
cnf(196,negated_conjecture,
( unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[65,195,theory(equality)]) ).
cnf(198,negated_conjecture,
( ~ unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0))
| $false ),
inference(rw,[status(thm)],[143,195,theory(equality)]) ).
cnf(199,negated_conjecture,
~ unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0)),
inference(cn,[status(thm)],[198,theory(equality)]) ).
cnf(202,negated_conjecture,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(esk2_0,X2)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[65,196,theory(equality)]) ).
cnf(205,negated_conjecture,
~ unequally_directed_lines(esk1_0,reverse_line(reverse_line(esk2_0))),
inference(spm,[status(thm)],[199,134,theory(equality)]) ).
cnf(239,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(X1,esk2_0) ),
inference(spm,[status(thm)],[149,202,theory(equality)]) ).
cnf(250,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(reverse_line(esk2_0))),
inference(spm,[status(thm)],[189,239,theory(equality)]) ).
cnf(309,negated_conjecture,
$false,
inference(rw,[status(thm)],[205,250,theory(equality)]) ).
cnf(310,negated_conjecture,
$false,
inference(cn,[status(thm)],[309,theory(equality)]) ).
cnf(311,negated_conjecture,
$false,
310,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO268+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/tmpjkzUxX/sel_GEO268+3.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpjkzUxX/sel_GEO268+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/tmpjkzUxX/sel_GEO268+3.p_3 with time limit 74
% -prover status ResourceOut
% --creating new selector for [GEO009+0.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpjkzUxX/sel_GEO268+3.p_4 with time limit 56
% -prover status ResourceOut
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpjkzUxX/sel_GEO268+3.p_5 with time limit 54
% -prover status Theorem
% Problem GEO268+3.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO268+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO268+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
%
%------------------------------------------------------------------------------