TSTP Solution File: GEO206+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO206+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 08:59:53 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% 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(2,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/tmp/tmpAgWcXR/sel_GEO206+1.p_1',ax6) ).
fof(8,axiom,
! [X1,X2,X3] :
( distinct_lines(X2,X3)
=> ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/tmp/tmpAgWcXR/sel_GEO206+1.p_1',cup1) ).
fof(9,axiom,
! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
file('/tmp/tmpAgWcXR/sel_GEO206+1.p_1',cp1) ).
fof(10,axiom,
! [X1,X2] : ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
file('/tmp/tmpAgWcXR/sel_GEO206+1.p_1',cp2) ).
fof(14,conjecture,
! [X1,X2,X3] :
( ( ~ apart_point_and_line(X1,X2)
& ~ convergent_lines(X2,X3) )
=> ~ distinct_lines(X2,parallel_through_point(X3,X1)) ),
file('/tmp/tmpAgWcXR/sel_GEO206+1.p_1',con) ).
fof(15,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ apart_point_and_line(X1,X2)
& ~ convergent_lines(X2,X3) )
=> ~ distinct_lines(X2,parallel_through_point(X3,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)],[9,theory(equality)]) ).
fof(18,plain,
! [X1,X2] : ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(21,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ apart_point_and_line(X1,X2)
& ~ convergent_lines(X2,X3) )
=> ~ distinct_lines(X2,parallel_through_point(X3,X1)) ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(24,plain,
! [X1,X2,X3] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X3)
| convergent_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(25,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| convergent_lines(X4,X6)
| convergent_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[24]) ).
cnf(26,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
fof(42,plain,
! [X1,X2,X3] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| convergent_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(43,plain,
! [X4,X5,X6] :
( ~ distinct_lines(X5,X6)
| apart_point_and_line(X4,X5)
| apart_point_and_line(X4,X6)
| convergent_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[42]) ).
cnf(44,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)],[43]) ).
fof(45,plain,
! [X3,X4] : ~ convergent_lines(parallel_through_point(X4,X3),X4),
inference(variable_rename,[status(thm)],[17]) ).
cnf(46,plain,
~ convergent_lines(parallel_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[45]) ).
fof(47,plain,
! [X3,X4] : ~ apart_point_and_line(X3,parallel_through_point(X4,X3)),
inference(variable_rename,[status(thm)],[18]) ).
cnf(48,plain,
~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
inference(split_conjunct,[status(thm)],[47]) ).
fof(56,negated_conjecture,
? [X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
& ~ convergent_lines(X2,X3)
& distinct_lines(X2,parallel_through_point(X3,X1)) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(57,negated_conjecture,
? [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
& ~ convergent_lines(X5,X6)
& distinct_lines(X5,parallel_through_point(X6,X4)) ),
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,
( apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,parallel_through_point(esk3_0,esk1_0))
| convergent_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)) ),
inference(spm,[status(thm)],[44,59,theory(equality)]) ).
cnf(70,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)],[26,63,theory(equality)]) ).
cnf(214,negated_conjecture,
( apart_point_and_line(X1,parallel_through_point(esk3_0,esk1_0))
| apart_point_and_line(X1,esk2_0)
| convergent_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[46,70,theory(equality)]) ).
cnf(219,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)],[214,60,theory(equality)]) ).
cnf(282,negated_conjecture,
apart_point_and_line(esk1_0,esk2_0),
inference(spm,[status(thm)],[48,219,theory(equality)]) ).
cnf(285,negated_conjecture,
$false,
inference(sr,[status(thm)],[282,61,theory(equality)]) ).
cnf(286,negated_conjecture,
$false,
285,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO206+1.p
% --creating new selector for [GEO006+0.ax, GEO006+2.ax]
% -running prover on /tmp/tmpAgWcXR/sel_GEO206+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO206+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO206+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO206+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
%
%------------------------------------------------------------------------------