%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO170+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 08:42:53 EST 2010
% Result : Theorem 0.18s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 121 ( 46 ~; 46 |; 18 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn 50 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
file('/tmp/tmpp_0cuO/sel_GEO170+3.p_1',ax2) ).
fof(5,axiom,
! [X1,X2,X6,X7] :
( ( distinct_points(X1,X2)
& distinct_lines(X6,X7) )
=> ( apart_point_and_line(X1,X6)
| apart_point_and_line(X1,X7)
| apart_point_and_line(X2,X6)
| apart_point_and_line(X2,X7) ) ),
file('/tmp/tmpp_0cuO/sel_GEO170+3.p_1',cu1) ).
fof(9,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
file('/tmp/tmpp_0cuO/sel_GEO170+3.p_1',ci2) ).
fof(10,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('/tmp/tmpp_0cuO/sel_GEO170+3.p_1',ci1) ).
fof(11,axiom,
! [X1,X2] :
( incident_point_and_line(X1,X2)
<=> ~ apart_point_and_line(X1,X2) ),
file('/tmp/tmpp_0cuO/sel_GEO170+3.p_1',a4) ).
fof(18,conjecture,
! [X1,X2,X5] :
( ( distinct_points(X1,X2)
& incident_point_and_line(X1,X5)
& incident_point_and_line(X2,X5) )
=> equal_lines(X5,line_connecting(X1,X2)) ),
file('/tmp/tmpp_0cuO/sel_GEO170+3.p_1',con) ).
fof(19,negated_conjecture,
~ ! [X1,X2,X5] :
( ( distinct_points(X1,X2)
& incident_point_and_line(X1,X5)
& incident_point_and_line(X2,X5) )
=> equal_lines(X5,line_connecting(X1,X2)) ),
inference(assume_negation,[status(cth)],[18]) ).
fof(20,plain,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(21,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(22,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(23,plain,
! [X1,X2] :
( incident_point_and_line(X1,X2)
<=> ~ apart_point_and_line(X1,X2) ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(27,plain,
! [X1,X2] :
( ( ~ equal_lines(X1,X2)
| ~ distinct_lines(X1,X2) )
& ( distinct_lines(X1,X2)
| equal_lines(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(28,plain,
! [X3,X4] :
( ( ~ equal_lines(X3,X4)
| ~ distinct_lines(X3,X4) )
& ( distinct_lines(X3,X4)
| equal_lines(X3,X4) ) ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(29,plain,
( equal_lines(X1,X2)
| distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(40,plain,
! [X1,X2,X6,X7] :
( ~ distinct_points(X1,X2)
| ~ distinct_lines(X6,X7)
| apart_point_and_line(X1,X6)
| apart_point_and_line(X1,X7)
| apart_point_and_line(X2,X6)
| apart_point_and_line(X2,X7) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(41,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)],[40]) ).
cnf(42,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)],[41]) ).
fof(52,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(53,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[52]) ).
cnf(54,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(split_conjunct,[status(thm)],[53]) ).
fof(55,plain,
! [X1,X2] :
( ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(56,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[55]) ).
cnf(57,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[56]) ).
fof(58,plain,
! [X1,X2] :
( ( ~ incident_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X2) )
& ( apart_point_and_line(X1,X2)
| incident_point_and_line(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(59,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(variable_rename,[status(thm)],[58]) ).
cnf(61,plain,
( ~ apart_point_and_line(X1,X2)
| ~ incident_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[59]) ).
fof(77,negated_conjecture,
? [X1,X2,X5] :
( distinct_points(X1,X2)
& incident_point_and_line(X1,X5)
& incident_point_and_line(X2,X5)
& ~ equal_lines(X5,line_connecting(X1,X2)) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(78,negated_conjecture,
? [X6,X7,X8] :
( distinct_points(X6,X7)
& incident_point_and_line(X6,X8)
& incident_point_and_line(X7,X8)
& ~ equal_lines(X8,line_connecting(X6,X7)) ),
inference(variable_rename,[status(thm)],[77]) ).
fof(79,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& incident_point_and_line(esk1_0,esk3_0)
& incident_point_and_line(esk2_0,esk3_0)
& ~ equal_lines(esk3_0,line_connecting(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[78]) ).
cnf(80,negated_conjecture,
~ equal_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(81,negated_conjecture,
incident_point_and_line(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(82,negated_conjecture,
incident_point_and_line(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(83,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[79]) ).
cnf(85,negated_conjecture,
distinct_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(spm,[status(thm)],[80,29,theory(equality)]) ).
cnf(87,negated_conjecture,
~ apart_point_and_line(esk1_0,esk3_0),
inference(spm,[status(thm)],[61,82,theory(equality)]) ).
cnf(88,negated_conjecture,
~ apart_point_and_line(esk2_0,esk3_0),
inference(spm,[status(thm)],[61,81,theory(equality)]) ).
cnf(95,negated_conjecture,
( apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk2_0,X2)
| apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk1_0,X2)
| ~ distinct_lines(X2,X1) ),
inference(spm,[status(thm)],[42,83,theory(equality)]) ).
cnf(178,negated_conjecture,
( apart_point_and_line(esk1_0,esk3_0)
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,esk3_0)
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[95,85,theory(equality)]) ).
cnf(180,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,esk3_0)
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[178,87,theory(equality)]) ).
cnf(181,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[180,88,theory(equality)]) ).
cnf(242,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| ~ distinct_points(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[57,181,theory(equality)]) ).
cnf(243,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[242,83,theory(equality)]) ).
cnf(244,negated_conjecture,
apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)),
inference(cn,[status(thm)],[243,theory(equality)]) ).
cnf(246,negated_conjecture,
~ distinct_points(esk1_0,esk2_0),
inference(spm,[status(thm)],[54,244,theory(equality)]) ).
cnf(249,negated_conjecture,
$false,
inference(rw,[status(thm)],[246,83,theory(equality)]) ).
cnf(250,negated_conjecture,
$false,
inference(cn,[status(thm)],[249,theory(equality)]) ).
cnf(251,negated_conjecture,
$false,
250,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO170+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/tmpp_0cuO/sel_GEO170+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO170+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO170+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO170+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
%
%------------------------------------------------------------------------------