TSTP Solution File: GEO170+2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO170+2 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:57:20 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 25 ~; 30 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(con1,plain,
! [C,A,B] :
( ( distinct_points(C,A)
| ~ apart_point_and_line(C,line_connecting(A,B))
| ~ distinct_points(A,B) )
& ( distinct_points(C,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| ~ distinct_points(A,B) ) ),
file('/tmp/SystemOnTPTP18279/GEO170+2.p',unknown),
[] ).
cnf(152891008,plain,
( distinct_points(C,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| ~ distinct_points(A,B) ),
inference(rewrite,[status(thm)],[con1]),
[] ).
fof(apart1,plain,
! [A] : ~ distinct_points(A,A),
file('/tmp/SystemOnTPTP18279/GEO170+2.p',unknown),
[] ).
cnf(152830728,plain,
~ distinct_points(A,A),
inference(rewrite,[status(thm)],[apart1]),
[] ).
cnf(168826688,plain,
( ~ apart_point_and_line(B,line_connecting(A,B))
| ~ distinct_points(A,B) ),
inference(resolution,[status(thm)],[152891008,152830728]),
[] ).
fof(con,plain,
( distinct_points(x,y)
& ~ apart_point_and_line(x,z)
& ~ apart_point_and_line(y,z)
& distinct_lines(z,line_connecting(x,y)) ),
file('/tmp/SystemOnTPTP18279/GEO170+2.p',unknown),
[] ).
cnf(153040944,plain,
distinct_points(x,y),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(168840256,plain,
~ apart_point_and_line(y,line_connecting(x,y)),
inference(resolution,[status(thm)],[168826688,153040944]),
[] ).
fof(cu1,plain,
! [A,B,C,D] :
( ~ distinct_points(A,B)
| ~ distinct_lines(C,D)
| apart_point_and_line(A,C)
| apart_point_and_line(A,D)
| apart_point_and_line(B,C)
| apart_point_and_line(B,D) ),
file('/tmp/SystemOnTPTP18279/GEO170+2.p',unknown),
[] ).
cnf(152930624,plain,
( ~ distinct_points(A,B)
| ~ distinct_lines(C,D)
| apart_point_and_line(A,C)
| apart_point_and_line(A,D)
| apart_point_and_line(B,C)
| apart_point_and_line(B,D) ),
inference(rewrite,[status(thm)],[cu1]),
[] ).
cnf(168783704,plain,
( ~ distinct_lines(A,B)
| apart_point_and_line(x,A)
| apart_point_and_line(x,B)
| apart_point_and_line(y,A)
| apart_point_and_line(y,B) ),
inference(resolution,[status(thm)],[152930624,153040944]),
[] ).
cnf(153015096,plain,
distinct_lines(z,line_connecting(x,y)),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(169027760,plain,
( apart_point_and_line(x,z)
| apart_point_and_line(x,line_connecting(x,y))
| apart_point_and_line(y,z)
| apart_point_and_line(y,line_connecting(x,y)) ),
inference(resolution,[status(thm)],[168783704,153015096]),
[] ).
cnf(152895320,plain,
( distinct_points(C,A)
| ~ apart_point_and_line(C,line_connecting(A,B))
| ~ distinct_points(A,B) ),
inference(rewrite,[status(thm)],[con1]),
[] ).
cnf(168854688,plain,
( ~ apart_point_and_line(A,line_connecting(A,B))
| ~ distinct_points(A,B) ),
inference(resolution,[status(thm)],[152895320,152830728]),
[] ).
cnf(168868120,plain,
~ apart_point_and_line(x,line_connecting(x,y)),
inference(resolution,[status(thm)],[168854688,153040944]),
[] ).
cnf(169053248,plain,
( apart_point_and_line(x,z)
| apart_point_and_line(y,z)
| apart_point_and_line(y,line_connecting(x,y)) ),
inference(resolution,[status(thm)],[169027760,168868120]),
[] ).
cnf(153033824,plain,
~ apart_point_and_line(x,z),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(169059344,plain,
( apart_point_and_line(y,z)
| apart_point_and_line(y,line_connecting(x,y)) ),
inference(resolution,[status(thm)],[169053248,153033824]),
[] ).
cnf(153022440,plain,
~ apart_point_and_line(y,z),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(169063784,plain,
apart_point_and_line(y,line_connecting(x,y)),
inference(resolution,[status(thm)],[169059344,153022440]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[168840256,169063784]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(con1,plain,(((distinct_points(C,A)|~apart_point_and_line(C,line_connecting(A,B))|~distinct_points(A,B))&(distinct_points(C,B)|~apart_point_and_line(C,line_connecting(A,B))|~distinct_points(A,B)))),file('/tmp/SystemOnTPTP18279/GEO170+2.p',unknown),[]).
%
% cnf(152891008,plain,(distinct_points(C,B)|~apart_point_and_line(C,line_connecting(A,B))|~distinct_points(A,B)),inference(rewrite,[status(thm)],[con1]),[]).
%
% fof(apart1,plain,(~distinct_points(A,A)),file('/tmp/SystemOnTPTP18279/GEO170+2.p',unknown),[]).
%
% cnf(152830728,plain,(~distinct_points(A,A)),inference(rewrite,[status(thm)],[apart1]),[]).
%
% cnf(168826688,plain,(~apart_point_and_line(B,line_connecting(A,B))|~distinct_points(A,B)),inference(resolution,[status(thm)],[152891008,152830728]),[]).
%
% fof(con,plain,((distinct_points(x,y)&~apart_point_and_line(x,z)&~apart_point_and_line(y,z)&distinct_lines(z,line_connecting(x,y)))),file('/tmp/SystemOnTPTP18279/GEO170+2.p',unknown),[]).
%
% cnf(153040944,plain,(distinct_points(x,y)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(168840256,plain,(~apart_point_and_line(y,line_connecting(x,y))),inference(resolution,[status(thm)],[168826688,153040944]),[]).
%
% fof(cu1,plain,(~distinct_points(A,B)|~distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D)),file('/tmp/SystemOnTPTP18279/GEO170+2.p',unknown),[]).
%
% cnf(152930624,plain,(~distinct_points(A,B)|~distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D)),inference(rewrite,[status(thm)],[cu1]),[]).
%
% cnf(168783704,plain,(~distinct_lines(A,B)|apart_point_and_line(x,A)|apart_point_and_line(x,B)|apart_point_and_line(y,A)|apart_point_and_line(y,B)),inference(resolution,[status(thm)],[152930624,153040944]),[]).
%
% cnf(153015096,plain,(distinct_lines(z,line_connecting(x,y))),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(169027760,plain,(apart_point_and_line(x,z)|apart_point_and_line(x,line_connecting(x,y))|apart_point_and_line(y,z)|apart_point_and_line(y,line_connecting(x,y))),inference(resolution,[status(thm)],[168783704,153015096]),[]).
%
% cnf(152895320,plain,(distinct_points(C,A)|~apart_point_and_line(C,line_connecting(A,B))|~distinct_points(A,B)),inference(rewrite,[status(thm)],[con1]),[]).
%
% cnf(168854688,plain,(~apart_point_and_line(A,line_connecting(A,B))|~distinct_points(A,B)),inference(resolution,[status(thm)],[152895320,152830728]),[]).
%
% cnf(168868120,plain,(~apart_point_and_line(x,line_connecting(x,y))),inference(resolution,[status(thm)],[168854688,153040944]),[]).
%
% cnf(169053248,plain,(apart_point_and_line(x,z)|apart_point_and_line(y,z)|apart_point_and_line(y,line_connecting(x,y))),inference(resolution,[status(thm)],[169027760,168868120]),[]).
%
% cnf(153033824,plain,(~apart_point_and_line(x,z)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(169059344,plain,(apart_point_and_line(y,z)|apart_point_and_line(y,line_connecting(x,y))),inference(resolution,[status(thm)],[169053248,153033824]),[]).
%
% cnf(153022440,plain,(~apart_point_and_line(y,z)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(169063784,plain,(apart_point_and_line(y,line_connecting(x,y))),inference(resolution,[status(thm)],[169059344,153022440]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[168840256,169063784]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------