TSTP Solution File: GEO213+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO213+2 : TPTP v5.0.0. Released v3.3.0.
% 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 08:57:17 EST 2010
% Result : Theorem 0.28s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 103 ( 37 ~; 45 |; 16 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 62 ( 0 sgn 40 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,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/tmp0zHUGo/sel_GEO213+2.p_1',oac1) ).
fof(3,axiom,
! [X5,X6] :
( convergent_lines(X5,X6)
=> distinct_lines(X5,X6) ),
file('/tmp/tmp0zHUGo/sel_GEO213+2.p_1',ceq3) ).
fof(5,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
file('/tmp/tmp0zHUGo/sel_GEO213+2.p_1',occu1) ).
fof(8,axiom,
! [X5] : ~ convergent_lines(X5,X5),
file('/tmp/tmp0zHUGo/sel_GEO213+2.p_1',apart3) ).
fof(10,axiom,
! [X5,X6,X7] :
( convergent_lines(X5,X6)
=> ( convergent_lines(X5,X7)
| convergent_lines(X6,X7) ) ),
file('/tmp/tmp0zHUGo/sel_GEO213+2.p_1',apart6) ).
fof(11,conjecture,
! [X1,X2,X3] :
( unorthogonal_lines(X1,X2)
=> ( distinct_lines(X1,X3)
| unorthogonal_lines(X2,X3) ) ),
file('/tmp/tmp0zHUGo/sel_GEO213+2.p_1',con) ).
fof(12,negated_conjecture,
~ ! [X1,X2,X3] :
( unorthogonal_lines(X1,X2)
=> ( distinct_lines(X1,X3)
| unorthogonal_lines(X2,X3) ) ),
inference(assume_negation,[status(cth)],[11]) ).
fof(14,plain,
! [X5] : ~ convergent_lines(X5,X5),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(15,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)],[1]) ).
fof(16,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)],[15]) ).
fof(17,plain,
! [X4,X5,X6] :
( ( convergent_lines(X5,X6)
| convergent_lines(X4,X6)
| ~ convergent_lines(X4,X5)
| ~ unorthogonal_lines(X4,X5) )
& ( unorthogonal_lines(X5,X6)
| convergent_lines(X4,X6)
| ~ convergent_lines(X4,X5)
| ~ unorthogonal_lines(X4,X5) )
& ( convergent_lines(X5,X6)
| unorthogonal_lines(X4,X6)
| ~ convergent_lines(X4,X5)
| ~ unorthogonal_lines(X4,X5) )
& ( unorthogonal_lines(X5,X6)
| unorthogonal_lines(X4,X6)
| ~ convergent_lines(X4,X5)
| ~ unorthogonal_lines(X4,X5) ) ),
inference(distribute,[status(thm)],[16]) ).
cnf(20,plain,
( convergent_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[17]) ).
fof(25,plain,
! [X5,X6] :
( ~ convergent_lines(X5,X6)
| distinct_lines(X5,X6) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(26,plain,
! [X7,X8] :
( ~ convergent_lines(X7,X8)
| distinct_lines(X7,X8) ),
inference(variable_rename,[status(thm)],[25]) ).
cnf(27,plain,
( distinct_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(31,plain,
! [X3,X4] :
( convergent_lines(X3,X4)
| unorthogonal_lines(X3,X4) ),
inference(variable_rename,[status(thm)],[5]) ).
cnf(32,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(38,plain,
! [X6] : ~ convergent_lines(X6,X6),
inference(variable_rename,[status(thm)],[14]) ).
cnf(39,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[38]) ).
fof(43,plain,
! [X5,X6,X7] :
( ~ convergent_lines(X5,X6)
| convergent_lines(X5,X7)
| convergent_lines(X6,X7) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(44,plain,
! [X8,X9,X10] :
( ~ convergent_lines(X8,X9)
| convergent_lines(X8,X10)
| convergent_lines(X9,X10) ),
inference(variable_rename,[status(thm)],[43]) ).
cnf(45,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[44]) ).
fof(46,negated_conjecture,
? [X1,X2,X3] :
( unorthogonal_lines(X1,X2)
& ~ distinct_lines(X1,X3)
& ~ unorthogonal_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(47,negated_conjecture,
? [X4,X5,X6] :
( unorthogonal_lines(X4,X5)
& ~ distinct_lines(X4,X6)
& ~ unorthogonal_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[46]) ).
fof(48,negated_conjecture,
( unorthogonal_lines(esk1_0,esk2_0)
& ~ distinct_lines(esk1_0,esk3_0)
& ~ unorthogonal_lines(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[47]) ).
cnf(49,negated_conjecture,
~ unorthogonal_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(50,negated_conjecture,
~ distinct_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(51,negated_conjecture,
unorthogonal_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(52,negated_conjecture,
convergent_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[49,32,theory(equality)]) ).
cnf(53,negated_conjecture,
~ convergent_lines(esk1_0,esk3_0),
inference(spm,[status(thm)],[50,27,theory(equality)]) ).
cnf(60,negated_conjecture,
( unorthogonal_lines(esk2_0,X1)
| convergent_lines(esk1_0,X1)
| ~ convergent_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[20,51,theory(equality)]) ).
cnf(65,negated_conjecture,
( convergent_lines(esk3_0,X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[45,52,theory(equality)]) ).
cnf(67,negated_conjecture,
( convergent_lines(X1,X2)
| convergent_lines(esk3_0,X2)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[45,65,theory(equality)]) ).
cnf(73,negated_conjecture,
( convergent_lines(esk2_0,esk1_0)
| convergent_lines(esk3_0,esk3_0) ),
inference(spm,[status(thm)],[53,67,theory(equality)]) ).
cnf(79,negated_conjecture,
convergent_lines(esk2_0,esk1_0),
inference(sr,[status(thm)],[73,39,theory(equality)]) ).
cnf(80,negated_conjecture,
( convergent_lines(esk1_0,X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[45,79,theory(equality)]) ).
cnf(143,negated_conjecture,
( convergent_lines(esk1_0,esk3_0)
| ~ convergent_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[49,60,theory(equality)]) ).
cnf(147,negated_conjecture,
~ convergent_lines(esk1_0,esk2_0),
inference(sr,[status(thm)],[143,53,theory(equality)]) ).
cnf(149,negated_conjecture,
convergent_lines(esk2_0,esk2_0),
inference(spm,[status(thm)],[147,80,theory(equality)]) ).
cnf(151,negated_conjecture,
$false,
inference(sr,[status(thm)],[149,39,theory(equality)]) ).
cnf(152,negated_conjecture,
$false,
151,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO213+2.p
% --creating new selector for [GEO008+0.ax, GEO006+2.ax, GEO006+3.ax]
% -running prover on /tmp/tmp0zHUGo/sel_GEO213+2.p_1 with time limit 29
% -prover status Theorem
% Problem GEO213+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO213+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO213+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
%
%------------------------------------------------------------------------------