TSTP Solution File: GEO203+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO203+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 08:54:29 EST 2010
% Result : Theorem 0.81s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 44 ( 9 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 115 ( 40 ~; 49 |; 16 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn 45 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& distinct_lines(X4,X5) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X5)
| apart_point_and_line(X2,X4)
| apart_point_and_line(X2,X5) ) ),
file('/tmp/tmpIOM9CJ/sel_GEO203+1.p_1',cu1) ).
fof(6,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
file('/tmp/tmpIOM9CJ/sel_GEO203+1.p_1',ci3) ).
fof(7,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
file('/tmp/tmpIOM9CJ/sel_GEO203+1.p_1',ci2) ).
fof(8,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('/tmp/tmpIOM9CJ/sel_GEO203+1.p_1',ci1) ).
fof(15,conjecture,
! [X1,X2,X3] :
( ( convergent_lines(X1,X2)
& convergent_lines(X1,X3)
& distinct_points(intersection_point(X1,X2),intersection_point(X1,X3)) )
=> ~ distinct_lines(line_connecting(intersection_point(X1,X2),intersection_point(X1,X3)),X1) ),
file('/tmp/tmpIOM9CJ/sel_GEO203+1.p_1',con) ).
fof(16,negated_conjecture,
~ ! [X1,X2,X3] :
( ( convergent_lines(X1,X2)
& convergent_lines(X1,X3)
& distinct_points(intersection_point(X1,X2),intersection_point(X1,X3)) )
=> ~ distinct_lines(line_connecting(intersection_point(X1,X2),intersection_point(X1,X3)),X1) ),
inference(assume_negation,[status(cth)],[15]) ).
fof(17,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(18,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(19,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(24,negated_conjecture,
~ ! [X1,X2,X3] :
( ( convergent_lines(X1,X2)
& convergent_lines(X1,X3)
& distinct_points(intersection_point(X1,X2),intersection_point(X1,X3)) )
=> ~ distinct_lines(line_connecting(intersection_point(X1,X2),intersection_point(X1,X3)),X1) ),
inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).
fof(28,plain,
! [X1,X2,X4,X5] :
( ~ distinct_points(X1,X2)
| ~ distinct_lines(X4,X5)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X5)
| apart_point_and_line(X2,X4)
| apart_point_and_line(X2,X5) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(29,plain,
! [X6,X7,X8,X9] :
( ~ distinct_points(X6,X7)
| ~ distinct_lines(X8,X9)
| apart_point_and_line(X6,X8)
| apart_point_and_line(X6,X9)
| apart_point_and_line(X7,X8)
| apart_point_and_line(X7,X9) ),
inference(variable_rename,[status(thm)],[28]) ).
cnf(30,plain,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
inference(split_conjunct,[status(thm)],[29]) ).
fof(40,plain,
! [X1,X2] :
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(41,plain,
! [X3,X4] :
( ~ convergent_lines(X3,X4)
| ~ apart_point_and_line(intersection_point(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[40]) ).
cnf(42,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X1)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[41]) ).
fof(43,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(44,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[43]) ).
cnf(45,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(split_conjunct,[status(thm)],[44]) ).
fof(46,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(47,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[46]) ).
cnf(48,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[47]) ).
fof(64,negated_conjecture,
? [X1,X2,X3] :
( convergent_lines(X1,X2)
& convergent_lines(X1,X3)
& distinct_points(intersection_point(X1,X2),intersection_point(X1,X3))
& distinct_lines(line_connecting(intersection_point(X1,X2),intersection_point(X1,X3)),X1) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(65,negated_conjecture,
? [X4,X5,X6] :
( convergent_lines(X4,X5)
& convergent_lines(X4,X6)
& distinct_points(intersection_point(X4,X5),intersection_point(X4,X6))
& distinct_lines(line_connecting(intersection_point(X4,X5),intersection_point(X4,X6)),X4) ),
inference(variable_rename,[status(thm)],[64]) ).
fof(66,negated_conjecture,
( convergent_lines(esk1_0,esk2_0)
& convergent_lines(esk1_0,esk3_0)
& distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0))
& distinct_lines(line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)),esk1_0) ),
inference(skolemize,[status(esa)],[65]) ).
cnf(67,negated_conjecture,
distinct_lines(line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)),esk1_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(68,negated_conjecture,
distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(69,negated_conjecture,
convergent_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(70,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(77,negated_conjecture,
( apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)))
| apart_point_and_line(X2,esk1_0)
| apart_point_and_line(X2,line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)))
| ~ distinct_points(X2,X1) ),
inference(spm,[status(thm)],[30,67,theory(equality)]) ).
cnf(148,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)))
| apart_point_and_line(intersection_point(esk1_0,esk3_0),line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)))
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| apart_point_and_line(intersection_point(esk1_0,esk3_0),esk1_0) ),
inference(spm,[status(thm)],[77,68,theory(equality)]) ).
cnf(1032,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)))
| apart_point_and_line(intersection_point(esk1_0,esk3_0),esk1_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| ~ distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[45,148,theory(equality)]) ).
cnf(1035,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)))
| apart_point_and_line(intersection_point(esk1_0,esk3_0),esk1_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[1032,68,theory(equality)]) ).
cnf(1036,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)))
| apart_point_and_line(intersection_point(esk1_0,esk3_0),esk1_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0) ),
inference(cn,[status(thm)],[1035,theory(equality)]) ).
cnf(11341,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| apart_point_and_line(intersection_point(esk1_0,esk3_0),esk1_0)
| ~ distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[48,1036,theory(equality)]) ).
cnf(11344,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| apart_point_and_line(intersection_point(esk1_0,esk3_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[11341,68,theory(equality)]) ).
cnf(11345,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| apart_point_and_line(intersection_point(esk1_0,esk3_0),esk1_0) ),
inference(cn,[status(thm)],[11344,theory(equality)]) ).
cnf(11388,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| ~ convergent_lines(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[42,11345,theory(equality)]) ).
cnf(11389,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[11388,69,theory(equality)]) ).
cnf(11390,negated_conjecture,
apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0),
inference(cn,[status(thm)],[11389,theory(equality)]) ).
cnf(11454,negated_conjecture,
~ convergent_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[42,11390,theory(equality)]) ).
cnf(11458,negated_conjecture,
$false,
inference(rw,[status(thm)],[11454,70,theory(equality)]) ).
cnf(11459,negated_conjecture,
$false,
inference(cn,[status(thm)],[11458,theory(equality)]) ).
cnf(11460,negated_conjecture,
$false,
11459,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO203+1.p
% --creating new selector for [GEO006+0.ax]
% -running prover on /tmp/tmpIOM9CJ/sel_GEO203+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO203+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO203+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO203+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
%
%------------------------------------------------------------------------------