TSTP Solution File: GEO225+3 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO225+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 09:00:59 EST 2010
% Result : Theorem 184.75s
% Output : CNFRefutation 184.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 10 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 105 ( 43 ~; 27 |; 24 &)
% ( 2 <=>; 9 =>; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 44 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,axiom,
! [X4] : ~ distinct_points(X4,X4),
file('/tmp/tmpOTgPQl/sel_GEO225+3.p_4',apart1) ).
fof(12,axiom,
! [X4,X5] :
( distinct_points(X4,X5)
=> ~ apart_point_and_line(X5,line_connecting(X4,X5)) ),
file('/tmp/tmpOTgPQl/sel_GEO225+3.p_4',ci2) ).
fof(13,axiom,
! [X4,X5] :
( distinct_points(X4,X5)
=> ~ apart_point_and_line(X4,line_connecting(X4,X5)) ),
file('/tmp/tmpOTgPQl/sel_GEO225+3.p_4',ci1) ).
fof(18,axiom,
! [X4,X5,X6] :
( distinct_points(X4,X5)
=> ( distinct_points(X4,X6)
| distinct_points(X5,X6) ) ),
file('/tmp/tmpOTgPQl/sel_GEO225+3.p_4',apart4) ).
fof(22,axiom,
! [X4,X5] :
( incident_point_and_line(X4,X5)
<=> ~ apart_point_and_line(X4,X5) ),
file('/tmp/tmpOTgPQl/sel_GEO225+3.p_4',a4) ).
fof(32,conjecture,
! [X7,X8] :
( ( point(X7)
& point(X8)
& distinct_points(X7,X8) )
=> ? [X4] :
( line(X4)
=> ( incident_point_and_line(X7,X4)
& incident_point_and_line(X8,X4) ) ) ),
file('/tmp/tmpOTgPQl/sel_GEO225+3.p_4',con) ).
fof(33,negated_conjecture,
~ ! [X7,X8] :
( ( point(X7)
& point(X8)
& distinct_points(X7,X8) )
=> ? [X4] :
( line(X4)
=> ( incident_point_and_line(X7,X4)
& incident_point_and_line(X8,X4) ) ) ),
inference(assume_negation,[status(cth)],[32]) ).
fof(36,plain,
! [X4] : ~ distinct_points(X4,X4),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(38,plain,
! [X4,X5] :
( distinct_points(X4,X5)
=> ~ apart_point_and_line(X5,line_connecting(X4,X5)) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(39,plain,
! [X4,X5] :
( distinct_points(X4,X5)
=> ~ apart_point_and_line(X4,line_connecting(X4,X5)) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(44,plain,
! [X4,X5] :
( incident_point_and_line(X4,X5)
<=> ~ apart_point_and_line(X4,X5) ),
inference(fof_simplification,[status(thm)],[22,theory(equality)]) ).
fof(77,plain,
! [X5] : ~ distinct_points(X5,X5),
inference(variable_rename,[status(thm)],[36]) ).
cnf(78,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[77]) ).
fof(88,plain,
! [X4,X5] :
( ~ distinct_points(X4,X5)
| ~ apart_point_and_line(X5,line_connecting(X4,X5)) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(89,plain,
! [X6,X7] :
( ~ distinct_points(X6,X7)
| ~ apart_point_and_line(X7,line_connecting(X6,X7)) ),
inference(variable_rename,[status(thm)],[88]) ).
cnf(90,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(split_conjunct,[status(thm)],[89]) ).
fof(91,plain,
! [X4,X5] :
( ~ distinct_points(X4,X5)
| ~ apart_point_and_line(X4,line_connecting(X4,X5)) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(92,plain,
! [X6,X7] :
( ~ distinct_points(X6,X7)
| ~ apart_point_and_line(X6,line_connecting(X6,X7)) ),
inference(variable_rename,[status(thm)],[91]) ).
cnf(93,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[92]) ).
fof(103,plain,
! [X4,X5,X6] :
( ~ distinct_points(X4,X5)
| distinct_points(X4,X6)
| distinct_points(X5,X6) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(104,plain,
! [X7,X8,X9] :
( ~ distinct_points(X7,X8)
| distinct_points(X7,X9)
| distinct_points(X8,X9) ),
inference(variable_rename,[status(thm)],[103]) ).
cnf(105,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
inference(split_conjunct,[status(thm)],[104]) ).
fof(115,plain,
! [X4,X5] :
( ( ~ incident_point_and_line(X4,X5)
| ~ apart_point_and_line(X4,X5) )
& ( apart_point_and_line(X4,X5)
| incident_point_and_line(X4,X5) ) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(116,plain,
! [X6,X7] :
( ( ~ incident_point_and_line(X6,X7)
| ~ apart_point_and_line(X6,X7) )
& ( apart_point_and_line(X6,X7)
| incident_point_and_line(X6,X7) ) ),
inference(variable_rename,[status(thm)],[115]) ).
cnf(117,plain,
( incident_point_and_line(X1,X2)
| apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[116]) ).
fof(143,negated_conjecture,
? [X7,X8] :
( point(X7)
& point(X8)
& distinct_points(X7,X8)
& ! [X4] :
( line(X4)
& ( ~ incident_point_and_line(X7,X4)
| ~ incident_point_and_line(X8,X4) ) ) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(144,negated_conjecture,
? [X9,X10] :
( point(X9)
& point(X10)
& distinct_points(X9,X10)
& ! [X11] :
( line(X11)
& ( ~ incident_point_and_line(X9,X11)
| ~ incident_point_and_line(X10,X11) ) ) ),
inference(variable_rename,[status(thm)],[143]) ).
fof(145,negated_conjecture,
( point(esk1_0)
& point(esk2_0)
& distinct_points(esk1_0,esk2_0)
& ! [X11] :
( line(X11)
& ( ~ incident_point_and_line(esk1_0,X11)
| ~ incident_point_and_line(esk2_0,X11) ) ) ),
inference(skolemize,[status(esa)],[144]) ).
fof(146,negated_conjecture,
! [X11] :
( line(X11)
& ( ~ incident_point_and_line(esk1_0,X11)
| ~ incident_point_and_line(esk2_0,X11) )
& point(esk1_0)
& point(esk2_0)
& distinct_points(esk1_0,esk2_0) ),
inference(shift_quantors,[status(thm)],[145]) ).
cnf(147,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[146]) ).
cnf(150,negated_conjecture,
( ~ incident_point_and_line(esk2_0,X1)
| ~ incident_point_and_line(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[146]) ).
cnf(156,negated_conjecture,
( distinct_points(esk2_0,X1)
| distinct_points(esk1_0,X1) ),
inference(spm,[status(thm)],[105,147,theory(equality)]) ).
cnf(157,negated_conjecture,
( apart_point_and_line(esk1_0,X1)
| ~ incident_point_and_line(esk2_0,X1) ),
inference(spm,[status(thm)],[150,117,theory(equality)]) ).
cnf(174,negated_conjecture,
distinct_points(esk2_0,esk1_0),
inference(spm,[status(thm)],[78,156,theory(equality)]) ).
cnf(179,negated_conjecture,
( apart_point_and_line(esk1_0,X1)
| apart_point_and_line(esk2_0,X1) ),
inference(spm,[status(thm)],[157,117,theory(equality)]) ).
cnf(182,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(X1,esk1_0))
| ~ distinct_points(X1,esk1_0) ),
inference(spm,[status(thm)],[90,179,theory(equality)]) ).
cnf(385,negated_conjecture,
~ distinct_points(esk2_0,esk1_0),
inference(spm,[status(thm)],[93,182,theory(equality)]) ).
cnf(388,negated_conjecture,
$false,
inference(rw,[status(thm)],[385,174,theory(equality)]) ).
cnf(389,negated_conjecture,
$false,
inference(cn,[status(thm)],[388,theory(equality)]) ).
cnf(390,negated_conjecture,
$false,
389,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO225+3.p
% --creating new selector for [GEO006+4.ax, GEO006+3.ax, GEO006+0.ax, GEO006+1.ax, GEO006+2.ax, GEO006+6.ax, GEO006+5.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpOTgPQl/sel_GEO225+3.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpOTgPQl/sel_GEO225+3.p_2 with time limit 80
% -prover status ResourceOut
% --creating new selector for [GEO006+4.ax, GEO006+3.ax, GEO006+0.ax, GEO006+1.ax, GEO006+2.ax, GEO006+6.ax, GEO006+5.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpOTgPQl/sel_GEO225+3.p_3 with time limit 75
% -prover status ResourceOut
% --creating new selector for [GEO006+4.ax, GEO006+3.ax, GEO006+0.ax, GEO006+1.ax, GEO006+2.ax, GEO006+6.ax, GEO006+5.ax]
% -running prover on /tmp/tmpOTgPQl/sel_GEO225+3.p_4 with time limit 55
% -prover status Theorem
% Problem GEO225+3.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO225+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO225+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
%
%------------------------------------------------------------------------------