TSTP Solution File: GEO217+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO217+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 08:58:24 EST 2010
% Result : Theorem 0.22s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 14 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 55 ( 22 ~; 18 |; 10 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 45 ( 0 sgn 26 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( parallel_lines(X1,X2)
<=> ~ convergent_lines(X1,X2) ),
file('/tmp/tmpEdkBYK/sel_GEO217+3.p_1',a3) ).
fof(2,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/tmp/tmpEdkBYK/sel_GEO217+3.p_1',apart3) ).
fof(3,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/tmp/tmpEdkBYK/sel_GEO217+3.p_1',ax6) ).
fof(4,conjecture,
! [X4,X5,X6] :
( ( parallel_lines(X4,X5)
& parallel_lines(X4,X6) )
=> parallel_lines(X5,X6) ),
file('/tmp/tmpEdkBYK/sel_GEO217+3.p_1',con) ).
fof(5,negated_conjecture,
~ ! [X4,X5,X6] :
( ( parallel_lines(X4,X5)
& parallel_lines(X4,X6) )
=> parallel_lines(X5,X6) ),
inference(assume_negation,[status(cth)],[4]) ).
fof(6,plain,
! [X1,X2] :
( parallel_lines(X1,X2)
<=> ~ convergent_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(7,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(8,plain,
! [X1,X2] :
( ( ~ parallel_lines(X1,X2)
| ~ convergent_lines(X1,X2) )
& ( convergent_lines(X1,X2)
| parallel_lines(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(9,plain,
! [X3,X4] :
( ( ~ parallel_lines(X3,X4)
| ~ convergent_lines(X3,X4) )
& ( convergent_lines(X3,X4)
| parallel_lines(X3,X4) ) ),
inference(variable_rename,[status(thm)],[8]) ).
cnf(10,plain,
( parallel_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(11,plain,
( ~ convergent_lines(X1,X2)
| ~ parallel_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[9]) ).
fof(12,plain,
! [X2] : ~ convergent_lines(X2,X2),
inference(variable_rename,[status(thm)],[7]) ).
cnf(13,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[12]) ).
fof(14,plain,
! [X1,X2,X3] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X3)
| convergent_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(15,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| convergent_lines(X4,X6)
| convergent_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[14]) ).
cnf(16,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[15]) ).
fof(17,negated_conjecture,
? [X4,X5,X6] :
( parallel_lines(X4,X5)
& parallel_lines(X4,X6)
& ~ parallel_lines(X5,X6) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(18,negated_conjecture,
? [X7,X8,X9] :
( parallel_lines(X7,X8)
& parallel_lines(X7,X9)
& ~ parallel_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[17]) ).
fof(19,negated_conjecture,
( parallel_lines(esk1_0,esk2_0)
& parallel_lines(esk1_0,esk3_0)
& ~ parallel_lines(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[18]) ).
cnf(20,negated_conjecture,
~ parallel_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(21,negated_conjecture,
parallel_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(22,negated_conjecture,
parallel_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(23,negated_conjecture,
convergent_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[20,10,theory(equality)]) ).
cnf(24,negated_conjecture,
~ convergent_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[11,22,theory(equality)]) ).
cnf(25,negated_conjecture,
~ convergent_lines(esk1_0,esk3_0),
inference(spm,[status(thm)],[11,21,theory(equality)]) ).
cnf(27,negated_conjecture,
( convergent_lines(esk3_0,X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[16,23,theory(equality)]) ).
cnf(29,negated_conjecture,
( convergent_lines(X1,X2)
| convergent_lines(esk3_0,X2)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[16,27,theory(equality)]) ).
cnf(33,negated_conjecture,
( convergent_lines(esk2_0,X1)
| convergent_lines(X1,esk3_0) ),
inference(spm,[status(thm)],[13,29,theory(equality)]) ).
cnf(41,negated_conjecture,
convergent_lines(esk2_0,esk1_0),
inference(spm,[status(thm)],[25,33,theory(equality)]) ).
cnf(45,negated_conjecture,
( convergent_lines(esk1_0,X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[16,41,theory(equality)]) ).
cnf(47,negated_conjecture,
convergent_lines(esk2_0,esk2_0),
inference(spm,[status(thm)],[24,45,theory(equality)]) ).
cnf(51,negated_conjecture,
$false,
inference(sr,[status(thm)],[47,13,theory(equality)]) ).
cnf(52,negated_conjecture,
$false,
51,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO217+3.p
% --creating new selector for [GEO006+3.ax, GEO006+0.ax, GEO006+1.ax, GEO006+2.ax, GEO006+4.ax, GEO006+5.ax, GEO006+6.ax]
% -running prover on /tmp/tmpEdkBYK/sel_GEO217+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO217+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO217+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO217+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
%
%------------------------------------------------------------------------------