TSTP Solution File: GEO227+3 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO227+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 09:03:45 EST 2010
% Result : Theorem 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 6 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 26 ~; 20 |; 11 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 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 : 46 ( 0 sgn 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X4,X5] :
( unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,reverse_line(X5)) ),
file('/tmp/tmpC4x6re/sel_GEO227+3.p_1',ax8_basics) ).
fof(9,axiom,
! [X6,X7] :
( equally_directed_opposite_lines(X6,X7)
<=> ~ unequally_directed_opposite_lines(X6,X7) ),
file('/tmp/tmpC4x6re/sel_GEO227+3.p_1',a5_defns) ).
fof(13,axiom,
! [X6,X7] :
( unequally_directed_opposite_lines(X6,X7)
<=> unequally_directed_lines(X6,reverse_line(X7)) ),
file('/tmp/tmpC4x6re/sel_GEO227+3.p_1',a1_defns) ).
fof(15,axiom,
! [X6,X7] :
( equally_directed_lines(X6,X7)
<=> ~ unequally_directed_lines(X6,X7) ),
file('/tmp/tmpC4x6re/sel_GEO227+3.p_1',a4_defns) ).
fof(17,conjecture,
! [X4,X5] :
~ ( equally_directed_lines(X4,X5)
& equally_directed_opposite_lines(X4,X5) ),
file('/tmp/tmpC4x6re/sel_GEO227+3.p_1',con) ).
fof(18,negated_conjecture,
~ ! [X4,X5] :
~ ( equally_directed_lines(X4,X5)
& equally_directed_opposite_lines(X4,X5) ),
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(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(49,plain,
( ~ unequally_directed_opposite_lines(X1,X2)
| ~ equally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[47]) ).
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]) ).
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] :
( equally_directed_lines(X4,X5)
& equally_directed_opposite_lines(X4,X5) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(77,negated_conjecture,
? [X6,X7] :
( equally_directed_lines(X6,X7)
& equally_directed_opposite_lines(X6,X7) ),
inference(variable_rename,[status(thm)],[76]) ).
fof(78,negated_conjecture,
( equally_directed_lines(esk1_0,esk2_0)
& equally_directed_opposite_lines(esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[77]) ).
cnf(79,negated_conjecture,
equally_directed_opposite_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(80,negated_conjecture,
equally_directed_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(81,negated_conjecture,
~ unequally_directed_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[73,80,theory(equality)]) ).
cnf(84,plain,
( unequally_directed_opposite_lines(X1,X2)
| unequally_directed_lines(X1,X2) ),
inference(spm,[status(thm)],[65,26,theory(equality)]) ).
cnf(106,plain,
( unequally_directed_lines(X1,X2)
| ~ equally_directed_opposite_lines(X1,X2) ),
inference(spm,[status(thm)],[49,84,theory(equality)]) ).
cnf(108,negated_conjecture,
unequally_directed_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[106,79,theory(equality)]) ).
cnf(110,negated_conjecture,
$false,
inference(sr,[status(thm)],[108,81,theory(equality)]) ).
cnf(111,negated_conjecture,
$false,
110,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO227+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpC4x6re/sel_GEO227+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO227+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO227+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO227+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
%
%------------------------------------------------------------------------------