TSTP Solution File: GEO175+3 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO175+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 08:44:39 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 11 unt; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 125 ( 41 ~; 59 |; 17 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn 48 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,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/tmp7KVsLX/sel_GEO175+3.p_1',cu1) ).
fof(5,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( distinct_lines(X2,X3)
| convergent_lines(X1,X3) ) ),
file('/tmp/tmp7KVsLX/sel_GEO175+3.p_1',ceq3) ).
fof(8,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
file('/tmp/tmp7KVsLX/sel_GEO175+3.p_1',ci3) ).
fof(10,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
file('/tmp/tmp7KVsLX/sel_GEO175+3.p_1',ci4) ).
fof(13,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/tmp/tmp7KVsLX/sel_GEO175+3.p_1',apart3) ).
fof(16,conjecture,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& distinct_points(X1,intersection_point(X4,X5)) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X5) ) ),
file('/tmp/tmp7KVsLX/sel_GEO175+3.p_1',con) ).
fof(17,negated_conjecture,
~ ! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& distinct_points(X1,intersection_point(X4,X5)) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X5) ) ),
inference(assume_negation,[status(cth)],[16]) ).
fof(19,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
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)],[10,theory(equality)]) ).
fof(22,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(31,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)],[4]) ).
fof(32,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)],[31]) ).
cnf(33,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)],[32]) ).
fof(34,plain,
! [X1,X2,X3] :
( ~ convergent_lines(X1,X2)
| distinct_lines(X2,X3)
| convergent_lines(X1,X3) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(35,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| distinct_lines(X5,X6)
| convergent_lines(X4,X6) ),
inference(variable_rename,[status(thm)],[34]) ).
cnf(36,plain,
( convergent_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ convergent_lines(X1,X3) ),
inference(split_conjunct,[status(thm)],[35]) ).
fof(43,plain,
! [X1,X2] :
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(44,plain,
! [X3,X4] :
( ~ convergent_lines(X3,X4)
| ~ apart_point_and_line(intersection_point(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[43]) ).
cnf(45,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X1)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
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(57,plain,
! [X2] : ~ convergent_lines(X2,X2),
inference(variable_rename,[status(thm)],[22]) ).
cnf(58,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[57]) ).
fof(65,negated_conjecture,
? [X1,X2,X4,X5] :
( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& distinct_points(X1,intersection_point(X4,X5))
& ~ apart_point_and_line(X1,X4)
& ~ apart_point_and_line(X1,X5) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(66,negated_conjecture,
? [X6,X7,X8,X9] :
( distinct_points(X6,X7)
& convergent_lines(X8,X9)
& distinct_points(X6,intersection_point(X8,X9))
& ~ apart_point_and_line(X6,X8)
& ~ apart_point_and_line(X6,X9) ),
inference(variable_rename,[status(thm)],[65]) ).
fof(67,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& convergent_lines(esk3_0,esk4_0)
& distinct_points(esk1_0,intersection_point(esk3_0,esk4_0))
& ~ apart_point_and_line(esk1_0,esk3_0)
& ~ apart_point_and_line(esk1_0,esk4_0) ),
inference(skolemize,[status(esa)],[66]) ).
cnf(68,negated_conjecture,
~ apart_point_and_line(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(69,negated_conjecture,
~ apart_point_and_line(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(70,negated_conjecture,
distinct_points(esk1_0,intersection_point(esk3_0,esk4_0)),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(71,negated_conjecture,
convergent_lines(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(76,negated_conjecture,
( convergent_lines(esk3_0,X1)
| distinct_lines(esk4_0,X1) ),
inference(spm,[status(thm)],[36,71,theory(equality)]) ).
cnf(92,negated_conjecture,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,esk4_0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,esk4_0)
| convergent_lines(esk3_0,X2)
| ~ distinct_points(X3,X1) ),
inference(spm,[status(thm)],[33,76,theory(equality)]) ).
cnf(224,negated_conjecture,
( apart_point_and_line(esk1_0,esk4_0)
| apart_point_and_line(intersection_point(esk3_0,esk4_0),esk4_0)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(intersection_point(esk3_0,esk4_0),X1)
| convergent_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[92,70,theory(equality)]) ).
cnf(246,negated_conjecture,
( apart_point_and_line(intersection_point(esk3_0,esk4_0),esk4_0)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(intersection_point(esk3_0,esk4_0),X1)
| convergent_lines(esk3_0,X1) ),
inference(sr,[status(thm)],[224,68,theory(equality)]) ).
cnf(951,negated_conjecture,
( apart_point_and_line(intersection_point(esk3_0,esk4_0),X1)
| apart_point_and_line(esk1_0,X1)
| convergent_lines(esk3_0,X1)
| ~ convergent_lines(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[51,246,theory(equality)]) ).
cnf(958,negated_conjecture,
( apart_point_and_line(intersection_point(esk3_0,esk4_0),X1)
| apart_point_and_line(esk1_0,X1)
| convergent_lines(esk3_0,X1)
| $false ),
inference(rw,[status(thm)],[951,71,theory(equality)]) ).
cnf(959,negated_conjecture,
( apart_point_and_line(intersection_point(esk3_0,esk4_0),X1)
| apart_point_and_line(esk1_0,X1)
| convergent_lines(esk3_0,X1) ),
inference(cn,[status(thm)],[958,theory(equality)]) ).
cnf(961,negated_conjecture,
( apart_point_and_line(esk1_0,esk3_0)
| convergent_lines(esk3_0,esk3_0)
| ~ convergent_lines(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[45,959,theory(equality)]) ).
cnf(967,negated_conjecture,
( apart_point_and_line(esk1_0,esk3_0)
| convergent_lines(esk3_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[961,71,theory(equality)]) ).
cnf(968,negated_conjecture,
( apart_point_and_line(esk1_0,esk3_0)
| convergent_lines(esk3_0,esk3_0) ),
inference(cn,[status(thm)],[967,theory(equality)]) ).
cnf(969,negated_conjecture,
convergent_lines(esk3_0,esk3_0),
inference(sr,[status(thm)],[968,69,theory(equality)]) ).
cnf(970,negated_conjecture,
$false,
inference(sr,[status(thm)],[969,58,theory(equality)]) ).
cnf(971,negated_conjecture,
$false,
970,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO175+3.p
% --creating new selector for [GEO006+3.ax, GEO006+0.ax, GEO006+1.ax, GEO006+2.ax, GEO006+4.ax, GEO006+5.ax, GEO006+6.ax]
% -running prover on /tmp/tmp7KVsLX/sel_GEO175+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO175+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO175+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO175+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
%
%------------------------------------------------------------------------------