TSTP Solution File: GEO231+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO231+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 09:05:11 EST 2010
% Result : Theorem 0.25s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 11 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 120 ( 49 ~; 45 |; 17 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 89 ( 2 sgn 53 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X4,X5] :
( unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,reverse_line(X5)) ),
file('/tmp/tmpfRCY89/sel_GEO231+3.p_1',ax8_basics) ).
fof(3,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/tmpfRCY89/sel_GEO231+3.p_1',ax9_basics) ).
fof(6,axiom,
! [X4,X5] :
~ ( left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
file('/tmp/tmpfRCY89/sel_GEO231+3.p_1',ax11_basics) ).
fof(9,axiom,
! [X6,X7] :
( equally_directed_opposite_lines(X6,X7)
<=> ~ unequally_directed_opposite_lines(X6,X7) ),
file('/tmp/tmpfRCY89/sel_GEO231+3.p_1',a5_defns) ).
fof(11,axiom,
! [X4,X5,X8] :
( unequally_directed_lines(X4,X5)
=> ( unequally_directed_lines(X4,X8)
| unequally_directed_lines(X5,X8) ) ),
file('/tmp/tmpfRCY89/sel_GEO231+3.p_1',ax6_basics) ).
fof(13,axiom,
! [X6,X7] :
( unequally_directed_opposite_lines(X6,X7)
<=> unequally_directed_lines(X6,reverse_line(X7)) ),
file('/tmp/tmpfRCY89/sel_GEO231+3.p_1',a1_defns) ).
fof(15,axiom,
! [X6,X7] :
( equally_directed_lines(X6,X7)
<=> ~ unequally_directed_lines(X6,X7) ),
file('/tmp/tmpfRCY89/sel_GEO231+3.p_1',a4_defns) ).
fof(17,conjecture,
! [X4,X5,X8] :
( ( equally_directed_opposite_lines(X4,X5)
& equally_directed_lines(X4,X8) )
=> equally_directed_opposite_lines(X5,X8) ),
file('/tmp/tmpfRCY89/sel_GEO231+3.p_1',con) ).
fof(18,negated_conjecture,
~ ! [X4,X5,X8] :
( ( equally_directed_opposite_lines(X4,X5)
& equally_directed_lines(X4,X8) )
=> equally_directed_opposite_lines(X5,X8) ),
inference(assume_negation,[status(cth)],[17]) ).
fof(19,plain,
! [X6,X7] :
( equally_directed_opposite_lines(X6,X7)
<=> ~ unequally_directed_opposite_lines(X6,X7) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(20,plain,
! [X6,X7] :
( equally_directed_lines(X6,X7)
<=> ~ unequally_directed_lines(X6,X7) ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(25,plain,
! [X6,X7] :
( unequally_directed_lines(X6,X7)
| unequally_directed_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[2]) ).
cnf(26,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[25]) ).
fof(27,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)],[3]) ).
fof(28,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)],[27]) ).
cnf(29,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)],[28]) ).
fof(36,plain,
! [X4,X5] :
( ~ left_convergent_lines(X4,X5)
& ~ left_convergent_lines(X4,reverse_line(X5)) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(37,plain,
! [X6,X7] :
( ~ left_convergent_lines(X6,X7)
& ~ left_convergent_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[36]) ).
cnf(39,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[37]) ).
fof(46,plain,
! [X6,X7] :
( ( ~ equally_directed_opposite_lines(X6,X7)
| ~ unequally_directed_opposite_lines(X6,X7) )
& ( unequally_directed_opposite_lines(X6,X7)
| equally_directed_opposite_lines(X6,X7) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(47,plain,
! [X8,X9] :
( ( ~ equally_directed_opposite_lines(X8,X9)
| ~ unequally_directed_opposite_lines(X8,X9) )
& ( unequally_directed_opposite_lines(X8,X9)
| equally_directed_opposite_lines(X8,X9) ) ),
inference(variable_rename,[status(thm)],[46]) ).
cnf(48,plain,
( equally_directed_opposite_lines(X1,X2)
| unequally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[47]) ).
cnf(49,plain,
( ~ unequally_directed_opposite_lines(X1,X2)
| ~ equally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[47]) ).
fof(53,plain,
! [X4,X5,X8] :
( ~ unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,X8)
| unequally_directed_lines(X5,X8) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(54,plain,
! [X9,X10,X11] :
( ~ unequally_directed_lines(X9,X10)
| unequally_directed_lines(X9,X11)
| unequally_directed_lines(X10,X11) ),
inference(variable_rename,[status(thm)],[53]) ).
cnf(55,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| ~ unequally_directed_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[54]) ).
fof(63,plain,
! [X6,X7] :
( ( ~ unequally_directed_opposite_lines(X6,X7)
| unequally_directed_lines(X6,reverse_line(X7)) )
& ( ~ unequally_directed_lines(X6,reverse_line(X7))
| unequally_directed_opposite_lines(X6,X7) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(64,plain,
! [X8,X9] :
( ( ~ unequally_directed_opposite_lines(X8,X9)
| unequally_directed_lines(X8,reverse_line(X9)) )
& ( ~ unequally_directed_lines(X8,reverse_line(X9))
| unequally_directed_opposite_lines(X8,X9) ) ),
inference(variable_rename,[status(thm)],[63]) ).
cnf(65,plain,
( unequally_directed_opposite_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[64]) ).
cnf(66,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[64]) ).
fof(70,plain,
! [X6,X7] :
( ( ~ equally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,X7) )
& ( unequally_directed_lines(X6,X7)
| equally_directed_lines(X6,X7) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(71,plain,
! [X8,X9] :
( ( ~ equally_directed_lines(X8,X9)
| ~ unequally_directed_lines(X8,X9) )
& ( unequally_directed_lines(X8,X9)
| equally_directed_lines(X8,X9) ) ),
inference(variable_rename,[status(thm)],[70]) ).
cnf(73,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ equally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[71]) ).
fof(76,negated_conjecture,
? [X4,X5,X8] :
( equally_directed_opposite_lines(X4,X5)
& equally_directed_lines(X4,X8)
& ~ equally_directed_opposite_lines(X5,X8) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(77,negated_conjecture,
? [X9,X10,X11] :
( equally_directed_opposite_lines(X9,X10)
& equally_directed_lines(X9,X11)
& ~ equally_directed_opposite_lines(X10,X11) ),
inference(variable_rename,[status(thm)],[76]) ).
fof(78,negated_conjecture,
( equally_directed_opposite_lines(esk1_0,esk2_0)
& equally_directed_lines(esk1_0,esk3_0)
& ~ equally_directed_opposite_lines(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[77]) ).
cnf(79,negated_conjecture,
~ equally_directed_opposite_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(80,negated_conjecture,
equally_directed_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(81,negated_conjecture,
equally_directed_opposite_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(82,negated_conjecture,
~ unequally_directed_lines(esk1_0,esk3_0),
inference(spm,[status(thm)],[73,80,theory(equality)]) ).
cnf(85,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| equally_directed_opposite_lines(X1,X2) ),
inference(spm,[status(thm)],[66,48,theory(equality)]) ).
cnf(86,plain,
( unequally_directed_opposite_lines(X1,X2)
| unequally_directed_lines(X1,X2) ),
inference(spm,[status(thm)],[65,26,theory(equality)]) ).
cnf(94,plain,
( left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[29,39,theory(equality)]) ).
cnf(95,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[94,39,theory(equality)]) ).
cnf(107,negated_conjecture,
unequally_directed_lines(esk2_0,reverse_line(esk3_0)),
inference(spm,[status(thm)],[79,85,theory(equality)]) ).
cnf(110,negated_conjecture,
~ unequally_directed_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[95,107,theory(equality)]) ).
cnf(115,plain,
( unequally_directed_lines(X1,X2)
| ~ equally_directed_opposite_lines(X1,X2) ),
inference(spm,[status(thm)],[49,86,theory(equality)]) ).
cnf(116,negated_conjecture,
unequally_directed_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[115,81,theory(equality)]) ).
cnf(118,negated_conjecture,
( unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[55,116,theory(equality)]) ).
cnf(120,negated_conjecture,
unequally_directed_lines(esk1_0,esk3_0),
inference(spm,[status(thm)],[110,118,theory(equality)]) ).
cnf(125,negated_conjecture,
$false,
inference(sr,[status(thm)],[120,82,theory(equality)]) ).
cnf(126,negated_conjecture,
$false,
125,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO231+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpfRCY89/sel_GEO231+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO231+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO231+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO231+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
%
%------------------------------------------------------------------------------