TSTP Solution File: GEO210+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO210+1 : 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 08:56:35 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 64 ( 30 ~; 21 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 2 sgn 33 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X4,X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( apart_point_and_line(X4,X1)
| apart_point_and_line(X4,X2)
| unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3) ) ),
file('/tmp/tmpN1Cspm/sel_GEO210+1.p_1',ouo1) ).
fof(6,axiom,
! [X4,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X4),X1),
file('/tmp/tmpN1Cspm/sel_GEO210+1.p_1',ooc1) ).
fof(7,axiom,
! [X4,X1] : ~ apart_point_and_line(X4,orthogonal_through_point(X1,X4)),
file('/tmp/tmpN1Cspm/sel_GEO210+1.p_1',ooc2) ).
fof(13,conjecture,
! [X4,X1,X2] :
( ( ~ apart_point_and_line(X4,X1)
& ~ unorthogonal_lines(X1,X2) )
=> ~ distinct_lines(X1,orthogonal_through_point(X2,X4)) ),
file('/tmp/tmpN1Cspm/sel_GEO210+1.p_1',con) ).
fof(14,negated_conjecture,
~ ! [X4,X1,X2] :
( ( ~ apart_point_and_line(X4,X1)
& ~ unorthogonal_lines(X1,X2) )
=> ~ distinct_lines(X1,orthogonal_through_point(X2,X4)) ),
inference(assume_negation,[status(cth)],[13]) ).
fof(15,plain,
! [X4,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X4),X1),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(16,plain,
! [X4,X1] : ~ apart_point_and_line(X4,orthogonal_through_point(X1,X4)),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(19,negated_conjecture,
~ ! [X4,X1,X2] :
( ( ~ apart_point_and_line(X4,X1)
& ~ unorthogonal_lines(X1,X2) )
=> ~ distinct_lines(X1,orthogonal_through_point(X2,X4)) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(27,plain,
! [X4,X1,X2,X3] :
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X4,X1)
| apart_point_and_line(X4,X2)
| unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(28,plain,
! [X5,X6,X7,X8] :
( ~ distinct_lines(X6,X7)
| apart_point_and_line(X5,X6)
| apart_point_and_line(X5,X7)
| unorthogonal_lines(X6,X8)
| unorthogonal_lines(X7,X8) ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(29,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| apart_point_and_line(X4,X1)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(39,plain,
! [X5,X6] : ~ unorthogonal_lines(orthogonal_through_point(X6,X5),X6),
inference(variable_rename,[status(thm)],[15]) ).
cnf(40,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[39]) ).
fof(41,plain,
! [X5,X6] : ~ apart_point_and_line(X5,orthogonal_through_point(X6,X5)),
inference(variable_rename,[status(thm)],[16]) ).
cnf(42,plain,
~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
inference(split_conjunct,[status(thm)],[41]) ).
fof(55,negated_conjecture,
? [X4,X1,X2] :
( ~ apart_point_and_line(X4,X1)
& ~ unorthogonal_lines(X1,X2)
& distinct_lines(X1,orthogonal_through_point(X2,X4)) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(56,negated_conjecture,
? [X5,X6,X7] :
( ~ apart_point_and_line(X5,X6)
& ~ unorthogonal_lines(X6,X7)
& distinct_lines(X6,orthogonal_through_point(X7,X5)) ),
inference(variable_rename,[status(thm)],[55]) ).
fof(57,negated_conjecture,
( ~ apart_point_and_line(esk1_0,esk2_0)
& ~ unorthogonal_lines(esk2_0,esk3_0)
& distinct_lines(esk2_0,orthogonal_through_point(esk3_0,esk1_0)) ),
inference(skolemize,[status(esa)],[56]) ).
cnf(58,negated_conjecture,
distinct_lines(esk2_0,orthogonal_through_point(esk3_0,esk1_0)),
inference(split_conjunct,[status(thm)],[57]) ).
cnf(59,negated_conjecture,
~ unorthogonal_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[57]) ).
cnf(60,negated_conjecture,
~ apart_point_and_line(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[57]) ).
cnf(66,negated_conjecture,
( apart_point_and_line(X1,orthogonal_through_point(esk3_0,esk1_0))
| apart_point_and_line(X1,esk2_0)
| unorthogonal_lines(orthogonal_through_point(esk3_0,esk1_0),X2)
| unorthogonal_lines(esk2_0,X2) ),
inference(spm,[status(thm)],[29,58,theory(equality)]) ).
cnf(136,negated_conjecture,
( apart_point_and_line(esk1_0,esk2_0)
| unorthogonal_lines(orthogonal_through_point(esk3_0,esk1_0),X1)
| unorthogonal_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[42,66,theory(equality)]) ).
cnf(141,negated_conjecture,
( unorthogonal_lines(orthogonal_through_point(esk3_0,esk1_0),X1)
| unorthogonal_lines(esk2_0,X1) ),
inference(sr,[status(thm)],[136,60,theory(equality)]) ).
cnf(164,negated_conjecture,
unorthogonal_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[40,141,theory(equality)]) ).
cnf(168,negated_conjecture,
$false,
inference(sr,[status(thm)],[164,59,theory(equality)]) ).
cnf(169,negated_conjecture,
$false,
168,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO210+1.p
% --creating new selector for [GEO006+0.ax, GEO006+2.ax, GEO006+3.ax]
% -running prover on /tmp/tmpN1Cspm/sel_GEO210+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO210+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO210+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO210+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
%
%------------------------------------------------------------------------------