TSTP Solution File: GEO248+3 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO248+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 09:08:55 EST 2010
% Result : Theorem 184.61s
% Output : CNFRefutation 184.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 70 ( 28 ~; 20 |; 18 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 6 sgn 26 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1,X4] :
( apart_point_and_line(X1,X4)
<=> ( left_apart_point(X1,X4)
| right_apart_point(X1,X4) ) ),
file('/tmp/tmpkaR_Qi/sel_GEO248+3.p_4',a6_defns) ).
fof(11,axiom,
! [X1,X4] :
~ ( left_apart_point(X1,X4)
| left_apart_point(X1,reverse_line(X4)) ),
file('/tmp/tmpkaR_Qi/sel_GEO248+3.p_4',ax10_basics) ).
fof(14,axiom,
! [X7,X8] :
( right_apart_point(X7,X8)
<=> left_apart_point(X7,reverse_line(X8)) ),
file('/tmp/tmpkaR_Qi/sel_GEO248+3.p_4',a2_defns) ).
fof(26,conjecture,
! [X1,X2,X4] :
( ( apart_point_and_line(X1,X4)
& incident_point_and_line(X2,parallel_lines(X4,X1)) )
=> apart_point_and_line(X2,X4) ),
file('/tmp/tmpkaR_Qi/sel_GEO248+3.p_4',con) ).
fof(27,negated_conjecture,
~ ! [X1,X2,X4] :
( ( apart_point_and_line(X1,X4)
& incident_point_and_line(X2,parallel_lines(X4,X1)) )
=> apart_point_and_line(X2,X4) ),
inference(assume_negation,[status(cth)],[26]) ).
fof(42,plain,
! [X1,X4] :
( ( ~ apart_point_and_line(X1,X4)
| left_apart_point(X1,X4)
| right_apart_point(X1,X4) )
& ( ( ~ left_apart_point(X1,X4)
& ~ right_apart_point(X1,X4) )
| apart_point_and_line(X1,X4) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(43,plain,
! [X5,X6] :
( ( ~ apart_point_and_line(X5,X6)
| left_apart_point(X5,X6)
| right_apart_point(X5,X6) )
& ( ( ~ left_apart_point(X5,X6)
& ~ right_apart_point(X5,X6) )
| apart_point_and_line(X5,X6) ) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(44,plain,
! [X5,X6] :
( ( ~ apart_point_and_line(X5,X6)
| left_apart_point(X5,X6)
| right_apart_point(X5,X6) )
& ( ~ left_apart_point(X5,X6)
| apart_point_and_line(X5,X6) )
& ( ~ right_apart_point(X5,X6)
| apart_point_and_line(X5,X6) ) ),
inference(distribute,[status(thm)],[43]) ).
cnf(47,plain,
( right_apart_point(X1,X2)
| left_apart_point(X1,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
fof(66,plain,
! [X1,X4] :
( ~ left_apart_point(X1,X4)
& ~ left_apart_point(X1,reverse_line(X4)) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(67,plain,
! [X5,X6] :
( ~ left_apart_point(X5,X6)
& ~ left_apart_point(X5,reverse_line(X6)) ),
inference(variable_rename,[status(thm)],[66]) ).
cnf(69,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[67]) ).
fof(75,plain,
! [X7,X8] :
( ( ~ right_apart_point(X7,X8)
| left_apart_point(X7,reverse_line(X8)) )
& ( ~ left_apart_point(X7,reverse_line(X8))
| right_apart_point(X7,X8) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(76,plain,
! [X9,X10] :
( ( ~ right_apart_point(X9,X10)
| left_apart_point(X9,reverse_line(X10)) )
& ( ~ left_apart_point(X9,reverse_line(X10))
| right_apart_point(X9,X10) ) ),
inference(variable_rename,[status(thm)],[75]) ).
cnf(78,plain,
( left_apart_point(X1,reverse_line(X2))
| ~ right_apart_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[76]) ).
fof(123,negated_conjecture,
? [X1,X2,X4] :
( apart_point_and_line(X1,X4)
& incident_point_and_line(X2,parallel_lines(X4,X1))
& ~ apart_point_and_line(X2,X4) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(124,negated_conjecture,
? [X5,X6,X7] :
( apart_point_and_line(X5,X7)
& incident_point_and_line(X6,parallel_lines(X7,X5))
& ~ apart_point_and_line(X6,X7) ),
inference(variable_rename,[status(thm)],[123]) ).
fof(125,negated_conjecture,
( apart_point_and_line(esk1_0,esk3_0)
& incident_point_and_line(esk2_0,parallel_lines(esk3_0,esk1_0))
& ~ apart_point_and_line(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[124]) ).
cnf(128,negated_conjecture,
apart_point_and_line(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[125]) ).
cnf(132,plain,
~ right_apart_point(X1,X2),
inference(sr,[status(thm)],[78,69,theory(equality)]) ).
cnf(134,plain,
( right_apart_point(X1,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(sr,[status(thm)],[47,69,theory(equality)]) ).
cnf(135,plain,
~ apart_point_and_line(X1,X2),
inference(sr,[status(thm)],[134,132,theory(equality)]) ).
cnf(136,negated_conjecture,
$false,
inference(sr,[status(thm)],[128,135,theory(equality)]) ).
cnf(137,negated_conjecture,
$false,
136,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO248+3.p
% --creating new selector for [GEO009+0.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpkaR_Qi/sel_GEO248+3.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpkaR_Qi/sel_GEO248+3.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [GEO009+0.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpkaR_Qi/sel_GEO248+3.p_3 with time limit 74
% -prover status ResourceOut
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpkaR_Qi/sel_GEO248+3.p_4 with time limit 55
% -prover status Theorem
% Problem GEO248+3.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO248+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO248+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
%
%------------------------------------------------------------------------------