TSTP Solution File: GEO209+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO209+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 08:56:22 EST 2010
% Result : Theorem 0.27s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 113 ( 46 ~; 34 |; 27 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 66 ( 0 sgn 42 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/tmp/tmp-8-1h2/sel_GEO209+1.p_1',ax6) ).
fof(7,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/tmp-8-1h2/sel_GEO209+1.p_1',cup1) ).
fof(8,axiom,
! [X1] : ~ distinct_lines(X1,X1),
file('/tmp/tmp-8-1h2/sel_GEO209+1.p_1',apart2) ).
fof(11,axiom,
! [X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X3)
| distinct_lines(X2,X3) ) ),
file('/tmp/tmp-8-1h2/sel_GEO209+1.p_1',apart5) ).
fof(12,conjecture,
! [X6,X7,X8,X9] :
( ( apart_point_and_line(X6,X7)
& ~ apart_point_and_line(X6,X8)
& ~ apart_point_and_line(X6,X9)
& ~ convergent_lines(X8,X7)
& ~ convergent_lines(X9,X7) )
=> ~ distinct_lines(X8,X9) ),
file('/tmp/tmp-8-1h2/sel_GEO209+1.p_1',con) ).
fof(13,negated_conjecture,
~ ! [X6,X7,X8,X9] :
( ( apart_point_and_line(X6,X7)
& ~ apart_point_and_line(X6,X8)
& ~ apart_point_and_line(X6,X9)
& ~ convergent_lines(X8,X7)
& ~ convergent_lines(X9,X7) )
=> ~ distinct_lines(X8,X9) ),
inference(assume_negation,[status(cth)],[12]) ).
fof(15,plain,
! [X1] : ~ distinct_lines(X1,X1),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(17,negated_conjecture,
~ ! [X6,X7,X8,X9] :
( ( apart_point_and_line(X6,X7)
& ~ apart_point_and_line(X6,X8)
& ~ apart_point_and_line(X6,X9)
& ~ convergent_lines(X8,X7)
& ~ convergent_lines(X9,X7) )
=> ~ distinct_lines(X8,X9) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(18,plain,
! [X1,X2,X3] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X3)
| convergent_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(19,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| convergent_lines(X4,X6)
| convergent_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[18]) ).
cnf(20,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[19]) ).
fof(35,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)],[7]) ).
fof(36,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)],[35]) ).
cnf(37,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)],[36]) ).
fof(38,plain,
! [X2] : ~ distinct_lines(X2,X2),
inference(variable_rename,[status(thm)],[15]) ).
cnf(39,plain,
~ distinct_lines(X1,X1),
inference(split_conjunct,[status(thm)],[38]) ).
fof(45,plain,
! [X1,X2,X3] :
( ~ distinct_lines(X1,X2)
| distinct_lines(X1,X3)
| distinct_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(46,plain,
! [X4,X5,X6] :
( ~ distinct_lines(X4,X5)
| distinct_lines(X4,X6)
| distinct_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[45]) ).
cnf(47,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ distinct_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[46]) ).
fof(48,negated_conjecture,
? [X6,X7,X8,X9] :
( apart_point_and_line(X6,X7)
& ~ apart_point_and_line(X6,X8)
& ~ apart_point_and_line(X6,X9)
& ~ convergent_lines(X8,X7)
& ~ convergent_lines(X9,X7)
& distinct_lines(X8,X9) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(49,negated_conjecture,
? [X10,X11,X12,X13] :
( apart_point_and_line(X10,X11)
& ~ apart_point_and_line(X10,X12)
& ~ apart_point_and_line(X10,X13)
& ~ convergent_lines(X12,X11)
& ~ convergent_lines(X13,X11)
& distinct_lines(X12,X13) ),
inference(variable_rename,[status(thm)],[48]) ).
fof(50,negated_conjecture,
( apart_point_and_line(esk1_0,esk2_0)
& ~ apart_point_and_line(esk1_0,esk3_0)
& ~ apart_point_and_line(esk1_0,esk4_0)
& ~ convergent_lines(esk3_0,esk2_0)
& ~ convergent_lines(esk4_0,esk2_0)
& distinct_lines(esk3_0,esk4_0) ),
inference(skolemize,[status(esa)],[49]) ).
cnf(51,negated_conjecture,
distinct_lines(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(52,negated_conjecture,
~ convergent_lines(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(53,negated_conjecture,
~ convergent_lines(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(54,negated_conjecture,
~ apart_point_and_line(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(55,negated_conjecture,
~ apart_point_and_line(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(57,negated_conjecture,
( distinct_lines(esk4_0,X1)
| distinct_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[47,51,theory(equality)]) ).
cnf(62,negated_conjecture,
distinct_lines(esk4_0,esk3_0),
inference(spm,[status(thm)],[39,57,theory(equality)]) ).
cnf(67,negated_conjecture,
( apart_point_and_line(X1,esk4_0)
| apart_point_and_line(X1,esk3_0)
| convergent_lines(esk4_0,esk3_0) ),
inference(spm,[status(thm)],[37,62,theory(equality)]) ).
cnf(69,negated_conjecture,
( convergent_lines(esk3_0,X1)
| convergent_lines(esk4_0,X1)
| apart_point_and_line(X2,esk3_0)
| apart_point_and_line(X2,esk4_0) ),
inference(spm,[status(thm)],[20,67,theory(equality)]) ).
cnf(73,negated_conjecture,
( apart_point_and_line(X1,esk4_0)
| apart_point_and_line(X1,esk3_0)
| convergent_lines(esk4_0,esk2_0) ),
inference(spm,[status(thm)],[53,69,theory(equality)]) ).
cnf(79,negated_conjecture,
( apart_point_and_line(X1,esk4_0)
| apart_point_and_line(X1,esk3_0) ),
inference(sr,[status(thm)],[73,52,theory(equality)]) ).
cnf(85,negated_conjecture,
apart_point_and_line(esk1_0,esk4_0),
inference(spm,[status(thm)],[55,79,theory(equality)]) ).
cnf(88,negated_conjecture,
$false,
inference(sr,[status(thm)],[85,54,theory(equality)]) ).
cnf(89,negated_conjecture,
$false,
88,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO209+1.p
% --creating new selector for [GEO006+0.ax, GEO006+2.ax]
% -running prover on /tmp/tmp-8-1h2/sel_GEO209+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO209+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO209+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO209+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
%
%------------------------------------------------------------------------------