%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO206+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 08:55:38 EST 2010
% Result : Theorem 0.29s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 33 ~; 26 |; 9 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 60 ( 2 sgn 39 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
file('/tmp/tmpAITbZT/sel_GEO206+2.p_1',cp1) ).
fof(8,axiom,
! [X1,X2,X5] :
( distinct_lines(X2,X5)
=> ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X5)
| convergent_lines(X2,X5) ) ),
file('/tmp/tmpAITbZT/sel_GEO206+2.p_1',cup1) ).
fof(9,axiom,
! [X1,X2] : ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
file('/tmp/tmpAITbZT/sel_GEO206+2.p_1',cp2) ).
fof(13,axiom,
! [X1,X2,X5] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X5)
| convergent_lines(X2,X5) ) ),
file('/tmp/tmpAITbZT/sel_GEO206+2.p_1',apart6) ).
fof(14,conjecture,
! [X1,X2,X5] :
( ( ~ apart_point_and_line(X1,X2)
& ~ convergent_lines(X2,X5) )
=> ~ distinct_lines(X2,parallel_through_point(X5,X1)) ),
file('/tmp/tmpAITbZT/sel_GEO206+2.p_1',con) ).
fof(15,negated_conjecture,
~ ! [X1,X2,X5] :
( ( ~ apart_point_and_line(X1,X2)
& ~ convergent_lines(X2,X5) )
=> ~ distinct_lines(X2,parallel_through_point(X5,X1)) ),
inference(assume_negation,[status(cth)],[14]) ).
fof(17,plain,
! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(18,plain,
! [X1,X2] : ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(21,negated_conjecture,
~ ! [X1,X2,X5] :
( ( ~ apart_point_and_line(X1,X2)
& ~ convergent_lines(X2,X5) )
=> ~ distinct_lines(X2,parallel_through_point(X5,X1)) ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(39,plain,
! [X3,X4] : ~ convergent_lines(parallel_through_point(X4,X3),X4),
inference(variable_rename,[status(thm)],[17]) ).
cnf(40,plain,
~ convergent_lines(parallel_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[39]) ).
fof(41,plain,
! [X1,X2,X5] :
( ~ distinct_lines(X2,X5)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X5)
| convergent_lines(X2,X5) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(42,plain,
! [X6,X7,X8] :
( ~ distinct_lines(X7,X8)
| apart_point_and_line(X6,X7)
| apart_point_and_line(X6,X8)
| convergent_lines(X7,X8) ),
inference(variable_rename,[status(thm)],[41]) ).
cnf(43,plain,
( convergent_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(44,plain,
! [X3,X4] : ~ apart_point_and_line(X3,parallel_through_point(X4,X3)),
inference(variable_rename,[status(thm)],[18]) ).
cnf(45,plain,
~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
inference(split_conjunct,[status(thm)],[44]) ).
fof(53,plain,
! [X1,X2,X5] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X5)
| convergent_lines(X2,X5) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(54,plain,
! [X6,X7,X8] :
( ~ convergent_lines(X6,X7)
| convergent_lines(X6,X8)
| convergent_lines(X7,X8) ),
inference(variable_rename,[status(thm)],[53]) ).
cnf(55,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[54]) ).
fof(56,negated_conjecture,
? [X1,X2,X5] :
( ~ apart_point_and_line(X1,X2)
& ~ convergent_lines(X2,X5)
& distinct_lines(X2,parallel_through_point(X5,X1)) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(57,negated_conjecture,
? [X6,X7,X8] :
( ~ apart_point_and_line(X6,X7)
& ~ convergent_lines(X7,X8)
& distinct_lines(X7,parallel_through_point(X8,X6)) ),
inference(variable_rename,[status(thm)],[56]) ).
fof(58,negated_conjecture,
( ~ apart_point_and_line(esk1_0,esk2_0)
& ~ convergent_lines(esk2_0,esk3_0)
& distinct_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)) ),
inference(skolemize,[status(esa)],[57]) ).
cnf(59,negated_conjecture,
distinct_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(60,negated_conjecture,
~ convergent_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(61,negated_conjecture,
~ apart_point_and_line(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(63,negated_conjecture,
( convergent_lines(esk2_0,parallel_through_point(esk3_0,esk1_0))
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,parallel_through_point(esk3_0,esk1_0)) ),
inference(spm,[status(thm)],[43,59,theory(equality)]) ).
cnf(72,negated_conjecture,
( convergent_lines(parallel_through_point(esk3_0,esk1_0),X1)
| convergent_lines(esk2_0,X1)
| apart_point_and_line(X2,parallel_through_point(esk3_0,esk1_0))
| apart_point_and_line(X2,esk2_0) ),
inference(spm,[status(thm)],[55,63,theory(equality)]) ).
cnf(271,negated_conjecture,
( convergent_lines(esk2_0,esk3_0)
| apart_point_and_line(X1,parallel_through_point(esk3_0,esk1_0))
| apart_point_and_line(X1,esk2_0) ),
inference(spm,[status(thm)],[40,72,theory(equality)]) ).
cnf(276,negated_conjecture,
( apart_point_and_line(X1,parallel_through_point(esk3_0,esk1_0))
| apart_point_and_line(X1,esk2_0) ),
inference(sr,[status(thm)],[271,60,theory(equality)]) ).
cnf(291,negated_conjecture,
apart_point_and_line(esk1_0,esk2_0),
inference(spm,[status(thm)],[45,276,theory(equality)]) ).
cnf(294,negated_conjecture,
$false,
inference(sr,[status(thm)],[291,61,theory(equality)]) ).
cnf(295,negated_conjecture,
$false,
294,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO206+2.p
% --creating new selector for [GEO008+0.ax, GEO006+2.ax]
% -running prover on /tmp/tmpAITbZT/sel_GEO206+2.p_1 with time limit 29
% -prover status Theorem
% Problem GEO206+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO206+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO206+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
%
%------------------------------------------------------------------------------