TSTP Solution File: GEO225+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO225+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 09:00:28 EST 2010
% Result : Theorem 185.42s
% Output : CNFRefutation 185.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 26 ~; 12 |; 25 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 26 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,axiom,
! [X3,X4] :
( distinct_points(X3,X4)
=> ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
file('/tmp/tmpR4XYPI/sel_GEO225+1.p_4',ci2) ).
fof(9,axiom,
! [X3,X4] :
( distinct_points(X3,X4)
=> ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
file('/tmp/tmpR4XYPI/sel_GEO225+1.p_4',ci1) ).
fof(17,conjecture,
! [X1,X2] :
( ( point(X1)
& point(X2)
& distinct_points(X1,X2) )
=> ? [X3] :
( line(X3)
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X2,X3) ) ) ),
file('/tmp/tmpR4XYPI/sel_GEO225+1.p_4',con) ).
fof(18,negated_conjecture,
~ ! [X1,X2] :
( ( point(X1)
& point(X2)
& distinct_points(X1,X2) )
=> ? [X3] :
( line(X3)
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X2,X3) ) ) ),
inference(assume_negation,[status(cth)],[17]) ).
fof(20,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(21,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(26,negated_conjecture,
~ ! [X1,X2] :
( ( point(X1)
& point(X2)
& distinct_points(X1,X2) )
=> ? [X3] :
( line(X3)
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X2,X3) ) ) ),
inference(fof_simplification,[status(thm)],[18,theory(equality)]) ).
fof(48,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(49,plain,
! [X5,X6] :
( ~ distinct_points(X5,X6)
| ~ apart_point_and_line(X6,line_connecting(X5,X6)) ),
inference(variable_rename,[status(thm)],[48]) ).
cnf(50,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(split_conjunct,[status(thm)],[49]) ).
fof(51,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(52,plain,
! [X5,X6] :
( ~ distinct_points(X5,X6)
| ~ apart_point_and_line(X5,line_connecting(X5,X6)) ),
inference(variable_rename,[status(thm)],[51]) ).
cnf(53,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[52]) ).
fof(72,negated_conjecture,
? [X1,X2] :
( point(X1)
& point(X2)
& distinct_points(X1,X2)
& ! [X3] :
( line(X3)
& ( apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(73,negated_conjecture,
? [X4,X5] :
( point(X4)
& point(X5)
& distinct_points(X4,X5)
& ! [X6] :
( line(X6)
& ( apart_point_and_line(X4,X6)
| apart_point_and_line(X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[72]) ).
fof(74,negated_conjecture,
( point(esk1_0)
& point(esk2_0)
& distinct_points(esk1_0,esk2_0)
& ! [X6] :
( line(X6)
& ( apart_point_and_line(esk1_0,X6)
| apart_point_and_line(esk2_0,X6) ) ) ),
inference(skolemize,[status(esa)],[73]) ).
fof(75,negated_conjecture,
! [X6] :
( line(X6)
& ( apart_point_and_line(esk1_0,X6)
| apart_point_and_line(esk2_0,X6) )
& point(esk1_0)
& point(esk2_0)
& distinct_points(esk1_0,esk2_0) ),
inference(shift_quantors,[status(thm)],[74]) ).
cnf(76,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(79,negated_conjecture,
( apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(86,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,X1))
| ~ distinct_points(esk1_0,X1) ),
inference(spm,[status(thm)],[53,79,theory(equality)]) ).
cnf(92,negated_conjecture,
~ distinct_points(esk1_0,esk2_0),
inference(spm,[status(thm)],[50,86,theory(equality)]) ).
cnf(94,negated_conjecture,
$false,
inference(rw,[status(thm)],[92,76,theory(equality)]) ).
cnf(95,negated_conjecture,
$false,
inference(cn,[status(thm)],[94,theory(equality)]) ).
cnf(96,negated_conjecture,
$false,
95,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO225+1.p
% --creating new selector for [GEO006+0.ax, GEO006+5.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpR4XYPI/sel_GEO225+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpR4XYPI/sel_GEO225+1.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [GEO006+0.ax, GEO006+5.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpR4XYPI/sel_GEO225+1.p_3 with time limit 75
% -prover status ResourceOut
% --creating new selector for [GEO006+0.ax, GEO006+5.ax]
% -running prover on /tmp/tmpR4XYPI/sel_GEO225+1.p_4 with time limit 55
% -prover status Theorem
% Problem GEO225+1.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO225+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO225+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
%
%------------------------------------------------------------------------------