TSTP Solution File: GEO190+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO190+3 : TPTP v5.0.0. Released v4.0.0.
% 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 08:49:10 EST 2010
% Result : Theorem 4.40s
% Output : CNFRefutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 8
% Syntax : Number of formulae : 61 ( 15 unt; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 160 ( 51 ~; 77 |; 21 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn 63 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X3,X4,X6,X7] :
( ( distinct_points(X3,X4)
& distinct_lines(X6,X7) )
=> ( apart_point_and_line(X3,X6)
| apart_point_and_line(X3,X7)
| apart_point_and_line(X4,X6)
| apart_point_and_line(X4,X7) ) ),
file('/tmp/tmpuJ1uz_/sel_GEO190+3.p_1',cu1) ).
fof(6,axiom,
! [X3,X4,X5] :
( apart_point_and_line(X3,X4)
=> ( distinct_lines(X4,X5)
| apart_point_and_line(X3,X5) ) ),
file('/tmp/tmpuJ1uz_/sel_GEO190+3.p_1',ceq2) ).
fof(8,axiom,
! [X3,X4] :
( distinct_points(X3,X4)
=> ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
file('/tmp/tmpuJ1uz_/sel_GEO190+3.p_1',ci2) ).
fof(9,axiom,
! [X3,X4] :
( distinct_points(X3,X4)
=> ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
file('/tmp/tmpuJ1uz_/sel_GEO190+3.p_1',ci1) ).
fof(10,axiom,
! [X3,X4] :
( incident_point_and_line(X3,X4)
<=> ~ apart_point_and_line(X3,X4) ),
file('/tmp/tmpuJ1uz_/sel_GEO190+3.p_1',a4) ).
fof(11,axiom,
! [X3] : ~ distinct_points(X3,X3),
file('/tmp/tmpuJ1uz_/sel_GEO190+3.p_1',apart1) ).
fof(15,axiom,
! [X3,X4,X5] :
( distinct_points(X3,X4)
=> ( distinct_points(X3,X5)
| distinct_points(X4,X5) ) ),
file('/tmp/tmpuJ1uz_/sel_GEO190+3.p_1',apart4) ).
fof(17,conjecture,
! [X3,X4,X5] :
( ( distinct_points(X3,X4)
& distinct_points(X3,X5)
& distinct_points(X4,X5)
& incident_point_and_line(X5,line_connecting(X3,X4)) )
=> incident_point_and_line(X5,line_connecting(X4,X3)) ),
file('/tmp/tmpuJ1uz_/sel_GEO190+3.p_1',con) ).
fof(18,negated_conjecture,
~ ! [X3,X4,X5] :
( ( distinct_points(X3,X4)
& distinct_points(X3,X5)
& distinct_points(X4,X5)
& incident_point_and_line(X5,line_connecting(X3,X4)) )
=> incident_point_and_line(X5,line_connecting(X4,X3)) ),
inference(assume_negation,[status(cth)],[17]) ).
fof(19,plain,
! [X3,X4] :
( distinct_points(X3,X4)
=> ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(20,plain,
! [X3,X4] :
( distinct_points(X3,X4)
=> ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(21,plain,
! [X3,X4] :
( incident_point_and_line(X3,X4)
<=> ~ apart_point_and_line(X3,X4) ),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(22,plain,
! [X3] : ~ distinct_points(X3,X3),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(34,plain,
! [X3,X4,X6,X7] :
( ~ distinct_points(X3,X4)
| ~ distinct_lines(X6,X7)
| apart_point_and_line(X3,X6)
| apart_point_and_line(X3,X7)
| apart_point_and_line(X4,X6)
| apart_point_and_line(X4,X7) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(35,plain,
! [X8,X9,X10,X11] :
( ~ distinct_points(X8,X9)
| ~ distinct_lines(X10,X11)
| apart_point_and_line(X8,X10)
| apart_point_and_line(X8,X11)
| apart_point_and_line(X9,X10)
| apart_point_and_line(X9,X11) ),
inference(variable_rename,[status(thm)],[34]) ).
cnf(36,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)],[35]) ).
fof(40,plain,
! [X3,X4,X5] :
( ~ apart_point_and_line(X3,X4)
| distinct_lines(X4,X5)
| apart_point_and_line(X3,X5) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(41,plain,
! [X6,X7,X8] :
( ~ apart_point_and_line(X6,X7)
| distinct_lines(X7,X8)
| apart_point_and_line(X6,X8) ),
inference(variable_rename,[status(thm)],[40]) ).
cnf(42,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
inference(split_conjunct,[status(thm)],[41]) ).
fof(46,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(47,plain,
! [X5,X6] :
( ~ distinct_points(X5,X6)
| ~ apart_point_and_line(X6,line_connecting(X5,X6)) ),
inference(variable_rename,[status(thm)],[46]) ).
cnf(48,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(split_conjunct,[status(thm)],[47]) ).
fof(49,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(50,plain,
! [X5,X6] :
( ~ distinct_points(X5,X6)
| ~ apart_point_and_line(X5,line_connecting(X5,X6)) ),
inference(variable_rename,[status(thm)],[49]) ).
cnf(51,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[50]) ).
fof(52,plain,
! [X3,X4] :
( ( ~ incident_point_and_line(X3,X4)
| ~ apart_point_and_line(X3,X4) )
& ( apart_point_and_line(X3,X4)
| incident_point_and_line(X3,X4) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(53,plain,
! [X5,X6] :
( ( ~ incident_point_and_line(X5,X6)
| ~ apart_point_and_line(X5,X6) )
& ( apart_point_and_line(X5,X6)
| incident_point_and_line(X5,X6) ) ),
inference(variable_rename,[status(thm)],[52]) ).
cnf(54,plain,
( incident_point_and_line(X1,X2)
| apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(55,plain,
( ~ apart_point_and_line(X1,X2)
| ~ incident_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[53]) ).
fof(56,plain,
! [X4] : ~ distinct_points(X4,X4),
inference(variable_rename,[status(thm)],[22]) ).
cnf(57,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[56]) ).
fof(65,plain,
! [X3,X4,X5] :
( ~ distinct_points(X3,X4)
| distinct_points(X3,X5)
| distinct_points(X4,X5) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(66,plain,
! [X6,X7,X8] :
( ~ distinct_points(X6,X7)
| distinct_points(X6,X8)
| distinct_points(X7,X8) ),
inference(variable_rename,[status(thm)],[65]) ).
cnf(67,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
inference(split_conjunct,[status(thm)],[66]) ).
fof(71,negated_conjecture,
? [X3,X4,X5] :
( distinct_points(X3,X4)
& distinct_points(X3,X5)
& distinct_points(X4,X5)
& incident_point_and_line(X5,line_connecting(X3,X4))
& ~ incident_point_and_line(X5,line_connecting(X4,X3)) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(72,negated_conjecture,
? [X6,X7,X8] :
( distinct_points(X6,X7)
& distinct_points(X6,X8)
& distinct_points(X7,X8)
& incident_point_and_line(X8,line_connecting(X6,X7))
& ~ incident_point_and_line(X8,line_connecting(X7,X6)) ),
inference(variable_rename,[status(thm)],[71]) ).
fof(73,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& distinct_points(esk1_0,esk3_0)
& distinct_points(esk2_0,esk3_0)
& incident_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
& ~ incident_point_and_line(esk3_0,line_connecting(esk2_0,esk1_0)) ),
inference(skolemize,[status(esa)],[72]) ).
cnf(74,negated_conjecture,
~ incident_point_and_line(esk3_0,line_connecting(esk2_0,esk1_0)),
inference(split_conjunct,[status(thm)],[73]) ).
cnf(75,negated_conjecture,
incident_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[73]) ).
cnf(78,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[73]) ).
cnf(79,negated_conjecture,
( distinct_points(esk2_0,X1)
| distinct_points(esk1_0,X1) ),
inference(spm,[status(thm)],[67,78,theory(equality)]) ).
cnf(82,negated_conjecture,
apart_point_and_line(esk3_0,line_connecting(esk2_0,esk1_0)),
inference(spm,[status(thm)],[74,54,theory(equality)]) ).
cnf(83,negated_conjecture,
~ apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(spm,[status(thm)],[55,75,theory(equality)]) ).
cnf(90,negated_conjecture,
distinct_points(esk2_0,esk1_0),
inference(spm,[status(thm)],[57,79,theory(equality)]) ).
cnf(100,negated_conjecture,
( apart_point_and_line(esk3_0,X1)
| distinct_lines(line_connecting(esk2_0,esk1_0),X1) ),
inference(spm,[status(thm)],[42,82,theory(equality)]) ).
cnf(113,negated_conjecture,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(esk3_0,X2)
| ~ distinct_points(X3,X1) ),
inference(spm,[status(thm)],[36,100,theory(equality)]) ).
cnf(329,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(esk3_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk2_0,X1) ),
inference(spm,[status(thm)],[113,78,theory(equality)]) ).
cnf(2528,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk3_0,X1)
| ~ distinct_points(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[48,329,theory(equality)]) ).
cnf(2535,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk3_0,X1)
| $false ),
inference(rw,[status(thm)],[2528,90,theory(equality)]) ).
cnf(2536,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
| apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk3_0,X1) ),
inference(cn,[status(thm)],[2535,theory(equality)]) ).
cnf(73609,negated_conjecture,
( apart_point_and_line(esk3_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk2_0,X1)
| ~ distinct_points(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[51,2536,theory(equality)]) ).
cnf(73613,negated_conjecture,
( apart_point_and_line(esk3_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk2_0,X1)
| $false ),
inference(rw,[status(thm)],[73609,90,theory(equality)]) ).
cnf(73614,negated_conjecture,
( apart_point_and_line(esk3_0,X1)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk2_0,X1) ),
inference(cn,[status(thm)],[73613,theory(equality)]) ).
cnf(73620,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[83,73614,theory(equality)]) ).
cnf(73626,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[51,73620,theory(equality)]) ).
cnf(73628,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[73626,78,theory(equality)]) ).
cnf(73629,negated_conjecture,
apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)),
inference(cn,[status(thm)],[73628,theory(equality)]) ).
cnf(73630,negated_conjecture,
~ distinct_points(esk1_0,esk2_0),
inference(spm,[status(thm)],[48,73629,theory(equality)]) ).
cnf(73634,negated_conjecture,
$false,
inference(rw,[status(thm)],[73630,78,theory(equality)]) ).
cnf(73635,negated_conjecture,
$false,
inference(cn,[status(thm)],[73634,theory(equality)]) ).
cnf(73636,negated_conjecture,
$false,
73635,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO190+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/tmpuJ1uz_/sel_GEO190+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO190+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO190+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO190+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
%
%------------------------------------------------------------------------------