TSTP Solution File: GEO217+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO217+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 08:58:19 EST 2010
% Result : Theorem 0.22s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 51 ( 26 ~; 12 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 36 ( 0 sgn 21 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/tmp/tmpIB0-aS/sel_GEO217+2.p_1',apart3) ).
fof(2,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/tmp/tmpIB0-aS/sel_GEO217+2.p_1',apart6) ).
fof(3,conjecture,
! [X4,X5,X6] :
( ( ~ convergent_lines(X4,X5)
& ~ convergent_lines(X4,X6) )
=> ~ convergent_lines(X5,X6) ),
file('/tmp/tmpIB0-aS/sel_GEO217+2.p_1',con) ).
fof(4,negated_conjecture,
~ ! [X4,X5,X6] :
( ( ~ convergent_lines(X4,X5)
& ~ convergent_lines(X4,X6) )
=> ~ convergent_lines(X5,X6) ),
inference(assume_negation,[status(cth)],[3]) ).
fof(5,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(6,negated_conjecture,
~ ! [X4,X5,X6] :
( ( ~ convergent_lines(X4,X5)
& ~ convergent_lines(X4,X6) )
=> ~ convergent_lines(X5,X6) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(7,plain,
! [X2] : ~ convergent_lines(X2,X2),
inference(variable_rename,[status(thm)],[5]) ).
cnf(8,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[7]) ).
fof(9,plain,
! [X1,X2,X3] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X3)
| convergent_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(10,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| convergent_lines(X4,X6)
| convergent_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[9]) ).
cnf(11,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[10]) ).
fof(12,negated_conjecture,
? [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
& ~ convergent_lines(X4,X6)
& convergent_lines(X5,X6) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(13,negated_conjecture,
? [X7,X8,X9] :
( ~ convergent_lines(X7,X8)
& ~ convergent_lines(X7,X9)
& convergent_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[12]) ).
fof(14,negated_conjecture,
( ~ convergent_lines(esk1_0,esk2_0)
& ~ convergent_lines(esk1_0,esk3_0)
& convergent_lines(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[13]) ).
cnf(15,negated_conjecture,
convergent_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(16,negated_conjecture,
~ convergent_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(17,negated_conjecture,
~ convergent_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(18,negated_conjecture,
( convergent_lines(esk3_0,X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[11,15,theory(equality)]) ).
cnf(20,negated_conjecture,
( convergent_lines(X1,X2)
| convergent_lines(esk2_0,X2)
| convergent_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[11,18,theory(equality)]) ).
cnf(24,negated_conjecture,
( convergent_lines(esk3_0,X1)
| convergent_lines(X1,esk2_0) ),
inference(spm,[status(thm)],[8,20,theory(equality)]) ).
cnf(31,negated_conjecture,
convergent_lines(esk3_0,esk1_0),
inference(spm,[status(thm)],[17,24,theory(equality)]) ).
cnf(36,negated_conjecture,
( convergent_lines(esk1_0,X1)
| convergent_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[11,31,theory(equality)]) ).
cnf(38,negated_conjecture,
convergent_lines(esk3_0,esk3_0),
inference(spm,[status(thm)],[16,36,theory(equality)]) ).
cnf(42,negated_conjecture,
$false,
inference(sr,[status(thm)],[38,8,theory(equality)]) ).
cnf(43,negated_conjecture,
$false,
42,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO217+2.p
% --creating new selector for [GEO008+0.ax, GEO006+4.ax]
% -running prover on /tmp/tmpIB0-aS/sel_GEO217+2.p_1 with time limit 29
% -prover status Theorem
% Problem GEO217+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO217+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO217+2.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
%
%------------------------------------------------------------------------------