TSTP Solution File: GEO202+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO202+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 08:54:03 EST 2010
% Result : Theorem 11.55s
% Output : CNFRefutation 11.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 13 unt; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 140 ( 47 ~; 66 |; 16 &)
% ( 0 <=>; 11 =>; 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 : 85 ( 0 sgn 57 !; 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/tmpz8m_JY/sel_GEO202+1.p_1',cu1) ).
fof(3,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( distinct_lines(X2,X3)
| convergent_lines(X1,X3) ) ),
file('/tmp/tmpz8m_JY/sel_GEO202+1.p_1',ceq3) ).
fof(6,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
file('/tmp/tmpz8m_JY/sel_GEO202+1.p_1',ci3) ).
fof(8,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('/tmp/tmpz8m_JY/sel_GEO202+1.p_1',ci1) ).
fof(9,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
file('/tmp/tmpz8m_JY/sel_GEO202+1.p_1',ci4) ).
fof(12,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/tmp/tmpz8m_JY/sel_GEO202+1.p_1',apart3) ).
fof(15,conjecture,
! [X1,X2,X3] :
( ( distinct_points(X1,X2)
& distinct_points(X1,X3)
& convergent_lines(line_connecting(X1,X2),line_connecting(X1,X3)) )
=> ~ distinct_points(intersection_point(line_connecting(X1,X2),line_connecting(X1,X3)),X1) ),
file('/tmp/tmpz8m_JY/sel_GEO202+1.p_1',con) ).
fof(16,negated_conjecture,
~ ! [X1,X2,X3] :
( ( distinct_points(X1,X2)
& distinct_points(X1,X3)
& convergent_lines(line_connecting(X1,X2),line_connecting(X1,X3)) )
=> ~ distinct_points(intersection_point(line_connecting(X1,X2),line_connecting(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(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(20,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(23,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(24,negated_conjecture,
~ ! [X1,X2,X3] :
( ( distinct_points(X1,X2)
& distinct_points(X1,X3)
& convergent_lines(line_connecting(X1,X2),line_connecting(X1,X3)) )
=> ~ distinct_points(intersection_point(line_connecting(X1,X2),line_connecting(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(31,plain,
! [X1,X2,X3] :
( ~ convergent_lines(X1,X2)
| distinct_lines(X2,X3)
| convergent_lines(X1,X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(32,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| distinct_lines(X5,X6)
| convergent_lines(X4,X6) ),
inference(variable_rename,[status(thm)],[31]) ).
cnf(33,plain,
( convergent_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ convergent_lines(X1,X3) ),
inference(split_conjunct,[status(thm)],[32]) ).
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(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(49,plain,
! [X1,X2] :
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(50,plain,
! [X3,X4] :
( ~ convergent_lines(X3,X4)
| ~ apart_point_and_line(intersection_point(X3,X4),X4) ),
inference(variable_rename,[status(thm)],[49]) ).
cnf(51,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[50]) ).
fof(56,plain,
! [X2] : ~ convergent_lines(X2,X2),
inference(variable_rename,[status(thm)],[23]) ).
cnf(57,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[56]) ).
fof(64,negated_conjecture,
? [X1,X2,X3] :
( distinct_points(X1,X2)
& distinct_points(X1,X3)
& convergent_lines(line_connecting(X1,X2),line_connecting(X1,X3))
& distinct_points(intersection_point(line_connecting(X1,X2),line_connecting(X1,X3)),X1) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(65,negated_conjecture,
? [X4,X5,X6] :
( distinct_points(X4,X5)
& distinct_points(X4,X6)
& convergent_lines(line_connecting(X4,X5),line_connecting(X4,X6))
& distinct_points(intersection_point(line_connecting(X4,X5),line_connecting(X4,X6)),X4) ),
inference(variable_rename,[status(thm)],[64]) ).
fof(66,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& distinct_points(esk1_0,esk3_0)
& convergent_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0))
& distinct_points(intersection_point(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0)),esk1_0) ),
inference(skolemize,[status(esa)],[65]) ).
cnf(67,negated_conjecture,
distinct_points(intersection_point(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0)),esk1_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(68,negated_conjecture,
convergent_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(69,negated_conjecture,
distinct_points(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(70,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(72,negated_conjecture,
( distinct_lines(line_connecting(esk1_0,esk3_0),X1)
| convergent_lines(line_connecting(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[33,68,theory(equality)]) ).
cnf(114,negated_conjecture,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,line_connecting(esk1_0,esk3_0))
| convergent_lines(line_connecting(esk1_0,esk2_0),X2)
| ~ distinct_points(X3,X1) ),
inference(spm,[status(thm)],[30,72,theory(equality)]) ).
cnf(436,negated_conjecture,
( apart_point_and_line(intersection_point(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0)),line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(intersection_point(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0)),X1)
| apart_point_and_line(esk1_0,X1)
| convergent_lines(line_connecting(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[114,67,theory(equality)]) ).
cnf(2941,negated_conjecture,
( apart_point_and_line(intersection_point(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0)),X1)
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk1_0,X1)
| convergent_lines(line_connecting(esk1_0,esk2_0),X1)
| ~ convergent_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[51,436,theory(equality)]) ).
cnf(2948,negated_conjecture,
( apart_point_and_line(intersection_point(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0)),X1)
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk1_0,X1)
| convergent_lines(line_connecting(esk1_0,esk2_0),X1)
| $false ),
inference(rw,[status(thm)],[2941,68,theory(equality)]) ).
cnf(2949,negated_conjecture,
( apart_point_and_line(intersection_point(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0)),X1)
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk1_0,X1)
| convergent_lines(line_connecting(esk1_0,esk2_0),X1) ),
inference(cn,[status(thm)],[2948,theory(equality)]) ).
cnf(153262,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| convergent_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk2_0))
| ~ convergent_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[42,2949,theory(equality)]) ).
cnf(153266,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| convergent_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[153262,68,theory(equality)]) ).
cnf(153267,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| convergent_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[153266,theory(equality)]) ).
cnf(153268,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[153267,57,theory(equality)]) ).
cnf(153269,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| ~ distinct_points(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[48,153268,theory(equality)]) ).
cnf(153272,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[153269,69,theory(equality)]) ).
cnf(153273,negated_conjecture,
apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0)),
inference(cn,[status(thm)],[153272,theory(equality)]) ).
cnf(153274,negated_conjecture,
~ distinct_points(esk1_0,esk2_0),
inference(spm,[status(thm)],[48,153273,theory(equality)]) ).
cnf(153278,negated_conjecture,
$false,
inference(rw,[status(thm)],[153274,70,theory(equality)]) ).
cnf(153279,negated_conjecture,
$false,
inference(cn,[status(thm)],[153278,theory(equality)]) ).
cnf(153280,negated_conjecture,
$false,
153279,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO202+1.p
% --creating new selector for [GEO006+0.ax]
% -running prover on /tmp/tmpz8m_JY/sel_GEO202+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO202+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO202+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO202+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
%
%------------------------------------------------------------------------------