%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO210+3 : TPTP v5.0.0. Released v4.0.0.
% 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 08:56:42 EST 2010
% Result : Theorem 0.18s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 17 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 99 ( 40 ~; 36 |; 14 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 78 ( 2 sgn 54 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
file('/tmp/tmpphKKKC/sel_GEO210+3.p_1',ax2) ).
fof(5,axiom,
! [X7,X3,X4,X5] :
( distinct_lines(X3,X4)
=> ( apart_point_and_line(X7,X3)
| apart_point_and_line(X7,X4)
| unorthogonal_lines(X3,X5)
| unorthogonal_lines(X4,X5) ) ),
file('/tmp/tmpphKKKC/sel_GEO210+3.p_1',ouo1) ).
fof(12,axiom,
! [X1,X2] :
( orthogonal_lines(X1,X2)
<=> ~ unorthogonal_lines(X1,X2) ),
file('/tmp/tmpphKKKC/sel_GEO210+3.p_1',a5) ).
fof(13,axiom,
! [X1,X2] :
( incident_point_and_line(X1,X2)
<=> ~ apart_point_and_line(X1,X2) ),
file('/tmp/tmpphKKKC/sel_GEO210+3.p_1',a4) ).
fof(15,axiom,
! [X7,X3] : ~ apart_point_and_line(X7,orthogonal_through_point(X3,X7)),
file('/tmp/tmpphKKKC/sel_GEO210+3.p_1',ooc2) ).
fof(16,axiom,
! [X7,X3] : ~ unorthogonal_lines(orthogonal_through_point(X3,X7),X3),
file('/tmp/tmpphKKKC/sel_GEO210+3.p_1',ooc1) ).
fof(21,conjecture,
! [X7,X3,X4] :
( ( incident_point_and_line(X7,X3)
& orthogonal_lines(X3,X4) )
=> equal_lines(X3,orthogonal_through_point(X4,X7)) ),
file('/tmp/tmpphKKKC/sel_GEO210+3.p_1',con) ).
fof(22,negated_conjecture,
~ ! [X7,X3,X4] :
( ( incident_point_and_line(X7,X3)
& orthogonal_lines(X3,X4) )
=> equal_lines(X3,orthogonal_through_point(X4,X7)) ),
inference(assume_negation,[status(cth)],[21]) ).
fof(23,plain,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(26,plain,
! [X1,X2] :
( orthogonal_lines(X1,X2)
<=> ~ unorthogonal_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(27,plain,
! [X1,X2] :
( incident_point_and_line(X1,X2)
<=> ~ apart_point_and_line(X1,X2) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(28,plain,
! [X7,X3] : ~ apart_point_and_line(X7,orthogonal_through_point(X3,X7)),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(29,plain,
! [X7,X3] : ~ unorthogonal_lines(orthogonal_through_point(X3,X7),X3),
inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).
fof(33,plain,
! [X1,X2] :
( ( ~ equal_lines(X1,X2)
| ~ distinct_lines(X1,X2) )
& ( distinct_lines(X1,X2)
| equal_lines(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(34,plain,
! [X3,X4] :
( ( ~ equal_lines(X3,X4)
| ~ distinct_lines(X3,X4) )
& ( distinct_lines(X3,X4)
| equal_lines(X3,X4) ) ),
inference(variable_rename,[status(thm)],[33]) ).
cnf(35,plain,
( equal_lines(X1,X2)
| distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(50,plain,
! [X7,X3,X4,X5] :
( ~ distinct_lines(X3,X4)
| apart_point_and_line(X7,X3)
| apart_point_and_line(X7,X4)
| unorthogonal_lines(X3,X5)
| unorthogonal_lines(X4,X5) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(51,plain,
! [X8,X9,X10,X11] :
( ~ distinct_lines(X9,X10)
| apart_point_and_line(X8,X9)
| apart_point_and_line(X8,X10)
| unorthogonal_lines(X9,X11)
| unorthogonal_lines(X10,X11) ),
inference(variable_rename,[status(thm)],[50]) ).
cnf(52,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)],[51]) ).
fof(75,plain,
! [X1,X2] :
( ( ~ orthogonal_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) )
& ( unorthogonal_lines(X1,X2)
| orthogonal_lines(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(76,plain,
! [X3,X4] :
( ( ~ orthogonal_lines(X3,X4)
| ~ unorthogonal_lines(X3,X4) )
& ( unorthogonal_lines(X3,X4)
| orthogonal_lines(X3,X4) ) ),
inference(variable_rename,[status(thm)],[75]) ).
cnf(78,plain,
( ~ unorthogonal_lines(X1,X2)
| ~ orthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[76]) ).
fof(79,plain,
! [X1,X2] :
( ( ~ incident_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X2) )
& ( apart_point_and_line(X1,X2)
| incident_point_and_line(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(80,plain,
! [X3,X4] :
( ( ~ incident_point_and_line(X3,X4)
| ~ apart_point_and_line(X3,X4) )
& ( apart_point_and_line(X3,X4)
| incident_point_and_line(X3,X4) ) ),
inference(variable_rename,[status(thm)],[79]) ).
cnf(82,plain,
( ~ apart_point_and_line(X1,X2)
| ~ incident_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[80]) ).
fof(86,plain,
! [X8,X9] : ~ apart_point_and_line(X8,orthogonal_through_point(X9,X8)),
inference(variable_rename,[status(thm)],[28]) ).
cnf(87,plain,
~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
inference(split_conjunct,[status(thm)],[86]) ).
fof(88,plain,
! [X8,X9] : ~ unorthogonal_lines(orthogonal_through_point(X9,X8),X9),
inference(variable_rename,[status(thm)],[29]) ).
cnf(89,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[88]) ).
fof(99,negated_conjecture,
? [X7,X3,X4] :
( incident_point_and_line(X7,X3)
& orthogonal_lines(X3,X4)
& ~ equal_lines(X3,orthogonal_through_point(X4,X7)) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(100,negated_conjecture,
? [X8,X9,X10] :
( incident_point_and_line(X8,X9)
& orthogonal_lines(X9,X10)
& ~ equal_lines(X9,orthogonal_through_point(X10,X8)) ),
inference(variable_rename,[status(thm)],[99]) ).
fof(101,negated_conjecture,
( incident_point_and_line(esk1_0,esk2_0)
& orthogonal_lines(esk2_0,esk3_0)
& ~ equal_lines(esk2_0,orthogonal_through_point(esk3_0,esk1_0)) ),
inference(skolemize,[status(esa)],[100]) ).
cnf(102,negated_conjecture,
~ equal_lines(esk2_0,orthogonal_through_point(esk3_0,esk1_0)),
inference(split_conjunct,[status(thm)],[101]) ).
cnf(103,negated_conjecture,
orthogonal_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[101]) ).
cnf(104,negated_conjecture,
incident_point_and_line(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[101]) ).
cnf(105,negated_conjecture,
distinct_lines(esk2_0,orthogonal_through_point(esk3_0,esk1_0)),
inference(spm,[status(thm)],[102,35,theory(equality)]) ).
cnf(108,negated_conjecture,
~ unorthogonal_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[78,103,theory(equality)]) ).
cnf(110,negated_conjecture,
~ apart_point_and_line(esk1_0,esk2_0),
inference(spm,[status(thm)],[82,104,theory(equality)]) ).
cnf(124,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)],[52,105,theory(equality)]) ).
cnf(198,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)],[87,124,theory(equality)]) ).
cnf(206,negated_conjecture,
( unorthogonal_lines(orthogonal_through_point(esk3_0,esk1_0),X1)
| unorthogonal_lines(esk2_0,X1) ),
inference(sr,[status(thm)],[198,110,theory(equality)]) ).
cnf(240,negated_conjecture,
unorthogonal_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[89,206,theory(equality)]) ).
cnf(247,negated_conjecture,
$false,
inference(sr,[status(thm)],[240,108,theory(equality)]) ).
cnf(248,negated_conjecture,
$false,
247,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO210+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/tmpphKKKC/sel_GEO210+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO210+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO210+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO210+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
%
%------------------------------------------------------------------------------