TSTP Solution File: GEO219+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO219+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 08:58:41 EST 2010
% Result : Theorem 0.25s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 8 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 124 ( 57 ~; 41 |; 20 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 57 ( 0 sgn 41 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X4,X5,X6] :
( convergent_lines(X4,X5)
=> ( convergent_lines(X4,X6)
| convergent_lines(X5,X6) ) ),
file('/tmp/tmp7WIIYR/sel_GEO219+1.p_1',ax6) ).
fof(4,axiom,
! [X1,X2,X3] :
( ( ( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) )
& ( ~ convergent_lines(X1,X3)
| ~ unorthogonal_lines(X1,X3) ) )
=> ( ~ convergent_lines(X2,X3)
| ~ unorthogonal_lines(X2,X3) ) ),
file('/tmp/tmp7WIIYR/sel_GEO219+1.p_1',cotno1) ).
fof(5,axiom,
! [X1,X2] :
~ ( ~ convergent_lines(X1,X2)
& ~ unorthogonal_lines(X1,X2) ),
file('/tmp/tmp7WIIYR/sel_GEO219+1.p_1',coipo1) ).
fof(6,conjecture,
! [X1,X2,X3] :
( ( ~ unorthogonal_lines(X1,X2)
& ~ convergent_lines(X1,X3) )
=> ~ unorthogonal_lines(X2,X3) ),
file('/tmp/tmp7WIIYR/sel_GEO219+1.p_1',con) ).
fof(7,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ unorthogonal_lines(X1,X2)
& ~ convergent_lines(X1,X3) )
=> ~ unorthogonal_lines(X2,X3) ),
inference(assume_negation,[status(cth)],[6]) ).
fof(10,plain,
! [X1,X2,X3] :
( ( ( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) )
& ( ~ convergent_lines(X1,X3)
| ~ unorthogonal_lines(X1,X3) ) )
=> ( ~ convergent_lines(X2,X3)
| ~ unorthogonal_lines(X2,X3) ) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(11,plain,
! [X1,X2] :
~ ( ~ convergent_lines(X1,X2)
& ~ unorthogonal_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(12,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ unorthogonal_lines(X1,X2)
& ~ convergent_lines(X1,X3) )
=> ~ unorthogonal_lines(X2,X3) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(18,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| convergent_lines(X4,X6)
| convergent_lines(X5,X6) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(19,plain,
! [X7,X8,X9] :
( ~ convergent_lines(X7,X8)
| convergent_lines(X7,X9)
| convergent_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[18]) ).
cnf(20,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[19]) ).
fof(21,plain,
! [X1,X2,X3] :
( ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
| ( convergent_lines(X1,X3)
& unorthogonal_lines(X1,X3) )
| ~ convergent_lines(X2,X3)
| ~ unorthogonal_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(22,plain,
! [X4,X5,X6] :
( ( convergent_lines(X4,X5)
& unorthogonal_lines(X4,X5) )
| ( convergent_lines(X4,X6)
& unorthogonal_lines(X4,X6) )
| ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[21]) ).
fof(23,plain,
! [X4,X5,X6] :
( ( convergent_lines(X4,X6)
| convergent_lines(X4,X5)
| ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) )
& ( unorthogonal_lines(X4,X6)
| convergent_lines(X4,X5)
| ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) )
& ( convergent_lines(X4,X6)
| unorthogonal_lines(X4,X5)
| ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) )
& ( unorthogonal_lines(X4,X6)
| unorthogonal_lines(X4,X5)
| ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) ) ),
inference(distribute,[status(thm)],[22]) ).
cnf(25,plain,
( unorthogonal_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[23]) ).
fof(28,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(29,plain,
! [X3,X4] :
( convergent_lines(X3,X4)
| unorthogonal_lines(X3,X4) ),
inference(variable_rename,[status(thm)],[28]) ).
cnf(30,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
fof(31,negated_conjecture,
? [X1,X2,X3] :
( ~ unorthogonal_lines(X1,X2)
& ~ convergent_lines(X1,X3)
& unorthogonal_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(32,negated_conjecture,
? [X4,X5,X6] :
( ~ unorthogonal_lines(X4,X5)
& ~ convergent_lines(X4,X6)
& unorthogonal_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[31]) ).
fof(33,negated_conjecture,
( ~ unorthogonal_lines(esk1_0,esk2_0)
& ~ convergent_lines(esk1_0,esk3_0)
& unorthogonal_lines(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[32]) ).
cnf(34,negated_conjecture,
unorthogonal_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(35,negated_conjecture,
~ convergent_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(36,negated_conjecture,
~ unorthogonal_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(37,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[36,30,theory(equality)]) ).
cnf(41,negated_conjecture,
( convergent_lines(X1,esk3_0)
| unorthogonal_lines(X1,esk2_0)
| ~ convergent_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[25,34,theory(equality)]) ).
cnf(46,negated_conjecture,
( convergent_lines(esk2_0,X1)
| convergent_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[20,37,theory(equality)]) ).
cnf(61,negated_conjecture,
( convergent_lines(esk1_0,esk3_0)
| ~ convergent_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[36,41,theory(equality)]) ).
cnf(65,negated_conjecture,
~ convergent_lines(esk2_0,esk3_0),
inference(sr,[status(thm)],[61,35,theory(equality)]) ).
cnf(66,negated_conjecture,
convergent_lines(esk1_0,esk3_0),
inference(spm,[status(thm)],[65,46,theory(equality)]) ).
cnf(67,negated_conjecture,
$false,
inference(sr,[status(thm)],[66,35,theory(equality)]) ).
cnf(68,negated_conjecture,
$false,
67,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO219+1.p
% --creating new selector for [GEO006+0.ax, GEO006+4.ax]
% -running prover on /tmp/tmp7WIIYR/sel_GEO219+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO219+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO219+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO219+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
%
%------------------------------------------------------------------------------