TSTP Solution File: GEO211+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO211+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 08:56:47 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 13 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 9 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,axiom,
! [X5] : ~ convergent_lines(X5,X5),
file('/tmp/tmp-izBK7/sel_GEO211+1.p_1',apart3) ).
fof(10,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
file('/tmp/tmp-izBK7/sel_GEO211+1.p_1',occu1) ).
fof(11,conjecture,
! [X1] : unorthogonal_lines(X1,X1),
file('/tmp/tmp-izBK7/sel_GEO211+1.p_1',con) ).
fof(12,negated_conjecture,
~ ! [X1] : unorthogonal_lines(X1,X1),
inference(assume_negation,[status(cth)],[11]) ).
fof(14,plain,
! [X5] : ~ convergent_lines(X5,X5),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(39,plain,
! [X6] : ~ convergent_lines(X6,X6),
inference(variable_rename,[status(thm)],[14]) ).
cnf(40,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[39]) ).
fof(44,plain,
! [X3,X4] :
( convergent_lines(X3,X4)
| unorthogonal_lines(X3,X4) ),
inference(variable_rename,[status(thm)],[10]) ).
cnf(45,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
fof(46,negated_conjecture,
? [X1] : ~ unorthogonal_lines(X1,X1),
inference(fof_nnf,[status(thm)],[12]) ).
fof(47,negated_conjecture,
? [X2] : ~ unorthogonal_lines(X2,X2),
inference(variable_rename,[status(thm)],[46]) ).
fof(48,negated_conjecture,
~ unorthogonal_lines(esk1_0,esk1_0),
inference(skolemize,[status(esa)],[47]) ).
cnf(49,negated_conjecture,
~ unorthogonal_lines(esk1_0,esk1_0),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(50,negated_conjecture,
convergent_lines(esk1_0,esk1_0),
inference(spm,[status(thm)],[49,45,theory(equality)]) ).
cnf(51,negated_conjecture,
$false,
inference(sr,[status(thm)],[50,40,theory(equality)]) ).
cnf(52,negated_conjecture,
$false,
51,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO211+1.p
% --creating new selector for [GEO006+0.ax, GEO006+2.ax, GEO006+3.ax]
% -running prover on /tmp/tmp-izBK7/sel_GEO211+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO211+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO211+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO211+1.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
%
%------------------------------------------------------------------------------