TSTP Solution File: GEO233+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO233+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 09:05:47 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 18 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 73 ( 35 ~; 29 |; 5 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 54 ( 2 sgn 33 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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/tmpBPN7eZ/sel_GEO233+3.p_1',ax9_basics) ).
fof(6,axiom,
! [X4,X5] :
~ ( left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
file('/tmp/tmpBPN7eZ/sel_GEO233+3.p_1',ax11_basics) ).
fof(8,axiom,
! [X4] : equally_directed_lines(X4,X4),
file('/tmp/tmpBPN7eZ/sel_GEO233+3.p_1',ax5_basics) ).
fof(10,axiom,
! [X4,X5,X6] :
( unequally_directed_lines(X4,X5)
=> ( unequally_directed_lines(X4,X6)
| unequally_directed_lines(X5,X6) ) ),
file('/tmp/tmpBPN7eZ/sel_GEO233+3.p_1',ax6_basics) ).
fof(13,axiom,
! [X7,X8] :
( equally_directed_lines(X7,X8)
<=> ~ unequally_directed_lines(X7,X8) ),
file('/tmp/tmpBPN7eZ/sel_GEO233+3.p_1',a4_defns) ).
fof(15,conjecture,
! [X4] : equally_directed_lines(reverse_line(reverse_line(X4)),X4),
file('/tmp/tmpBPN7eZ/sel_GEO233+3.p_1',con) ).
fof(16,negated_conjecture,
~ ! [X4] : equally_directed_lines(reverse_line(reverse_line(X4)),X4),
inference(assume_negation,[status(cth)],[15]) ).
fof(17,plain,
! [X7,X8] :
( equally_directed_lines(X7,X8)
<=> ~ unequally_directed_lines(X7,X8) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(24,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(25,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)],[24]) ).
cnf(26,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)],[25]) ).
fof(33,plain,
! [X4,X5] :
( ~ left_convergent_lines(X4,X5)
& ~ left_convergent_lines(X4,reverse_line(X5)) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(34,plain,
! [X6,X7] :
( ~ left_convergent_lines(X6,X7)
& ~ left_convergent_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[33]) ).
cnf(36,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[34]) ).
fof(41,plain,
! [X5] : equally_directed_lines(X5,X5),
inference(variable_rename,[status(thm)],[8]) ).
cnf(42,plain,
equally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[41]) ).
fof(46,plain,
! [X4,X5,X6] :
( ~ unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,X6)
| unequally_directed_lines(X5,X6) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(47,plain,
! [X7,X8,X9] :
( ~ unequally_directed_lines(X7,X8)
| unequally_directed_lines(X7,X9)
| unequally_directed_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[46]) ).
cnf(48,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| ~ unequally_directed_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[47]) ).
fof(59,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)],[17]) ).
fof(60,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)],[59]) ).
cnf(61,plain,
( equally_directed_lines(X1,X2)
| unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(62,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ equally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[60]) ).
fof(65,negated_conjecture,
? [X4] : ~ equally_directed_lines(reverse_line(reverse_line(X4)),X4),
inference(fof_nnf,[status(thm)],[16]) ).
fof(66,negated_conjecture,
? [X5] : ~ equally_directed_lines(reverse_line(reverse_line(X5)),X5),
inference(variable_rename,[status(thm)],[65]) ).
fof(67,negated_conjecture,
~ equally_directed_lines(reverse_line(reverse_line(esk1_0)),esk1_0),
inference(skolemize,[status(esa)],[66]) ).
cnf(68,negated_conjecture,
~ equally_directed_lines(reverse_line(reverse_line(esk1_0)),esk1_0),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(69,negated_conjecture,
unequally_directed_lines(reverse_line(reverse_line(esk1_0)),esk1_0),
inference(spm,[status(thm)],[68,61,theory(equality)]) ).
cnf(70,plain,
~ unequally_directed_lines(X1,X1),
inference(spm,[status(thm)],[62,42,theory(equality)]) ).
cnf(78,plain,
( left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[26,36,theory(equality)]) ).
cnf(79,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[78,36,theory(equality)]) ).
cnf(84,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(reverse_line(reverse_line(esk1_0)),X1) ),
inference(spm,[status(thm)],[48,69,theory(equality)]) ).
cnf(86,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(X1))
| ~ unequally_directed_lines(reverse_line(reverse_line(esk1_0)),X1) ),
inference(spm,[status(thm)],[79,84,theory(equality)]) ).
cnf(87,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
inference(spm,[status(thm)],[86,69,theory(equality)]) ).
cnf(93,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(reverse_line(esk1_0))),
inference(spm,[status(thm)],[70,84,theory(equality)]) ).
cnf(116,negated_conjecture,
~ unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
inference(spm,[status(thm)],[79,93,theory(equality)]) ).
cnf(117,negated_conjecture,
$false,
inference(rw,[status(thm)],[116,87,theory(equality)]) ).
cnf(118,negated_conjecture,
$false,
inference(cn,[status(thm)],[117,theory(equality)]) ).
cnf(119,negated_conjecture,
$false,
118,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO233+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpBPN7eZ/sel_GEO233+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO233+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO233+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO233+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
%
%------------------------------------------------------------------------------