TSTP Solution File: GEO262+3 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO262+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 09:11:31 EST 2010
% Result : Theorem 0.21s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 116 ( 39 ~; 32 |; 40 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 66 ( 2 sgn 38 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X4,X5] :
( ( unequally_directed_lines(X4,X5)
& unequally_directed_lines(X4,reverse_line(X5)) )
=> ( left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ) ),
file('/tmp/tmpkMABWG/sel_GEO262+3.p_1',ax9_basics) ).
fof(10,axiom,
! [X4,X5] :
~ ( left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
file('/tmp/tmpkMABWG/sel_GEO262+3.p_1',ax11_basics) ).
fof(15,axiom,
! [X4,X5] :
( convergent_lines(X4,X5)
<=> ( unequally_directed_lines(X4,X5)
& unequally_directed_opposite_lines(X4,X5) ) ),
file('/tmp/tmpkMABWG/sel_GEO262+3.p_1',a7_defns) ).
fof(26,axiom,
! [X7,X8] :
( unequally_directed_opposite_lines(X7,X8)
<=> unequally_directed_lines(X7,reverse_line(X8)) ),
file('/tmp/tmpkMABWG/sel_GEO262+3.p_1',a1_defns) ).
fof(27,conjecture,
! [X4,X5,X6,X1,X2,X3] :
( ( between_on_line(X4,X1,X2,X3)
& convergent_lines(X4,X5)
& incident_point_and_line(X2,X5)
& convergent_lines(X4,X6)
& convergent_lines(X5,X6)
& incident_point_and_line(X2,X6) )
=> between_on_line(X5,intersection_point(X5,parallel_through_point(X6,X1)),X2,intersection_point(X5,parallel_through_point(X6,X3))) ),
file('/tmp/tmpkMABWG/sel_GEO262+3.p_1',con) ).
fof(28,negated_conjecture,
~ ! [X4,X5,X6,X1,X2,X3] :
( ( between_on_line(X4,X1,X2,X3)
& convergent_lines(X4,X5)
& incident_point_and_line(X2,X5)
& convergent_lines(X4,X6)
& convergent_lines(X5,X6)
& incident_point_and_line(X2,X6) )
=> between_on_line(X5,intersection_point(X5,parallel_through_point(X6,X1)),X2,intersection_point(X5,parallel_through_point(X6,X3))) ),
inference(assume_negation,[status(cth)],[27]) ).
fof(37,plain,
! [X4,X5] :
( ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(X4,reverse_line(X5))
| left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(38,plain,
! [X6,X7] :
( ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,reverse_line(X7))
| left_convergent_lines(X6,X7)
| left_convergent_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[37]) ).
cnf(39,plain,
( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[38]) ).
fof(66,plain,
! [X4,X5] :
( ~ left_convergent_lines(X4,X5)
& ~ left_convergent_lines(X4,reverse_line(X5)) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(67,plain,
! [X6,X7] :
( ~ left_convergent_lines(X6,X7)
& ~ left_convergent_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[66]) ).
cnf(69,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[67]) ).
fof(82,plain,
! [X4,X5] :
( ( ~ convergent_lines(X4,X5)
| ( unequally_directed_lines(X4,X5)
& unequally_directed_opposite_lines(X4,X5) ) )
& ( ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_opposite_lines(X4,X5)
| convergent_lines(X4,X5) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(83,plain,
! [X6,X7] :
( ( ~ convergent_lines(X6,X7)
| ( unequally_directed_lines(X6,X7)
& unequally_directed_opposite_lines(X6,X7) ) )
& ( ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_opposite_lines(X6,X7)
| convergent_lines(X6,X7) ) ),
inference(variable_rename,[status(thm)],[82]) ).
fof(84,plain,
! [X6,X7] :
( ( unequally_directed_lines(X6,X7)
| ~ convergent_lines(X6,X7) )
& ( unequally_directed_opposite_lines(X6,X7)
| ~ convergent_lines(X6,X7) )
& ( ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_opposite_lines(X6,X7)
| convergent_lines(X6,X7) ) ),
inference(distribute,[status(thm)],[83]) ).
cnf(86,plain,
( unequally_directed_opposite_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[84]) ).
cnf(87,plain,
( unequally_directed_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[84]) ).
fof(129,plain,
! [X7,X8] :
( ( ~ unequally_directed_opposite_lines(X7,X8)
| unequally_directed_lines(X7,reverse_line(X8)) )
& ( ~ unequally_directed_lines(X7,reverse_line(X8))
| unequally_directed_opposite_lines(X7,X8) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(130,plain,
! [X9,X10] :
( ( ~ unequally_directed_opposite_lines(X9,X10)
| unequally_directed_lines(X9,reverse_line(X10)) )
& ( ~ unequally_directed_lines(X9,reverse_line(X10))
| unequally_directed_opposite_lines(X9,X10) ) ),
inference(variable_rename,[status(thm)],[129]) ).
cnf(132,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[130]) ).
fof(133,negated_conjecture,
? [X4,X5,X6,X1,X2,X3] :
( between_on_line(X4,X1,X2,X3)
& convergent_lines(X4,X5)
& incident_point_and_line(X2,X5)
& convergent_lines(X4,X6)
& convergent_lines(X5,X6)
& incident_point_and_line(X2,X6)
& ~ between_on_line(X5,intersection_point(X5,parallel_through_point(X6,X1)),X2,intersection_point(X5,parallel_through_point(X6,X3))) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(134,negated_conjecture,
? [X7,X8,X9,X10,X11,X12] :
( between_on_line(X7,X10,X11,X12)
& convergent_lines(X7,X8)
& incident_point_and_line(X11,X8)
& convergent_lines(X7,X9)
& convergent_lines(X8,X9)
& incident_point_and_line(X11,X9)
& ~ between_on_line(X8,intersection_point(X8,parallel_through_point(X9,X10)),X11,intersection_point(X8,parallel_through_point(X9,X12))) ),
inference(variable_rename,[status(thm)],[133]) ).
fof(135,negated_conjecture,
( between_on_line(esk1_0,esk4_0,esk5_0,esk6_0)
& convergent_lines(esk1_0,esk2_0)
& incident_point_and_line(esk5_0,esk2_0)
& convergent_lines(esk1_0,esk3_0)
& convergent_lines(esk2_0,esk3_0)
& incident_point_and_line(esk5_0,esk3_0)
& ~ between_on_line(esk2_0,intersection_point(esk2_0,parallel_through_point(esk3_0,esk4_0)),esk5_0,intersection_point(esk2_0,parallel_through_point(esk3_0,esk6_0))) ),
inference(skolemize,[status(esa)],[134]) ).
cnf(141,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[135]) ).
cnf(143,negated_conjecture,
unequally_directed_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[87,141,theory(equality)]) ).
cnf(149,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[132,86,theory(equality)]) ).
cnf(177,plain,
( left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[39,69,theory(equality)]) ).
cnf(178,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[177,69,theory(equality)]) ).
cnf(201,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
inference(spm,[status(thm)],[149,141,theory(equality)]) ).
cnf(216,negated_conjecture,
~ unequally_directed_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[178,201,theory(equality)]) ).
cnf(217,negated_conjecture,
$false,
inference(rw,[status(thm)],[216,143,theory(equality)]) ).
cnf(218,negated_conjecture,
$false,
inference(cn,[status(thm)],[217,theory(equality)]) ).
cnf(219,negated_conjecture,
$false,
218,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO262+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpkMABWG/sel_GEO262+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO262+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO262+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO262+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
%
%------------------------------------------------------------------------------