TSTP Solution File: GEO170+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO170+1 : 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 11:57:17 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 45 ( 20 ~; 22 |; 3 &)
% ( 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 : 19 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(ci1,plain,
! [A,B] :
( ~ distinct_points(A,B)
| ~ apart_point_and_line(A,line_connecting(A,B)) ),
file('/tmp/SystemOnTPTP18174/GEO170+1.p',unknown),
[] ).
cnf(149459576,plain,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(A,line_connecting(A,B)) ),
inference(rewrite,[status(thm)],[ci1]),
[] ).
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/SystemOnTPTP18174/GEO170+1.p',unknown),
[] ).
cnf(149618688,plain,
distinct_points(x,y),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(165327392,plain,
~ apart_point_and_line(x,line_connecting(x,y)),
inference(resolution,[status(thm)],[149459576,149618688]),
[] ).
cnf(149591192,plain,
distinct_lines(z,line_connecting(x,y)),
inference(rewrite,[status(thm)],[con]),
[] ).
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/SystemOnTPTP18174/GEO170+1.p',unknown),
[] ).
cnf(149500912,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(165357800,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)],[149500912,149618688]),
[] ).
cnf(149609960,plain,
~ apart_point_and_line(x,z),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(165528480,plain,
( ~ distinct_lines(z,A)
| apart_point_and_line(x,A)
| apart_point_and_line(y,z)
| apart_point_and_line(y,A) ),
inference(resolution,[status(thm)],[165357800,149609960]),
[] ).
fof(ci2,plain,
! [A,B] :
( ~ distinct_points(A,B)
| ~ apart_point_and_line(B,line_connecting(A,B)) ),
file('/tmp/SystemOnTPTP18174/GEO170+1.p',unknown),
[] ).
cnf(149476816,plain,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(B,line_connecting(A,B)) ),
inference(rewrite,[status(thm)],[ci2]),
[] ).
cnf(165340840,plain,
~ apart_point_and_line(y,line_connecting(x,y)),
inference(resolution,[status(thm)],[149476816,149618688]),
[] ).
cnf(165584824,plain,
( apart_point_and_line(x,line_connecting(x,y))
| apart_point_and_line(y,z) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[149591192,165528480,165340840]),
[] ).
cnf(149602656,plain,
~ apart_point_and_line(y,z),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(165589456,plain,
apart_point_and_line(x,line_connecting(x,y)),
inference(resolution,[status(thm)],[165584824,149602656]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[165327392,165589456]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(ci1,plain,(~distinct_points(A,B)|~apart_point_and_line(A,line_connecting(A,B))),file('/tmp/SystemOnTPTP18174/GEO170+1.p',unknown),[]).
%
% cnf(149459576,plain,(~distinct_points(A,B)|~apart_point_and_line(A,line_connecting(A,B))),inference(rewrite,[status(thm)],[ci1]),[]).
%
% 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/SystemOnTPTP18174/GEO170+1.p',unknown),[]).
%
% cnf(149618688,plain,(distinct_points(x,y)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(165327392,plain,(~apart_point_and_line(x,line_connecting(x,y))),inference(resolution,[status(thm)],[149459576,149618688]),[]).
%
% cnf(149591192,plain,(distinct_lines(z,line_connecting(x,y))),inference(rewrite,[status(thm)],[con]),[]).
%
% 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/SystemOnTPTP18174/GEO170+1.p',unknown),[]).
%
% cnf(149500912,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(165357800,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)],[149500912,149618688]),[]).
%
% cnf(149609960,plain,(~apart_point_and_line(x,z)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(165528480,plain,(~distinct_lines(z,A)|apart_point_and_line(x,A)|apart_point_and_line(y,z)|apart_point_and_line(y,A)),inference(resolution,[status(thm)],[165357800,149609960]),[]).
%
% fof(ci2,plain,(~distinct_points(A,B)|~apart_point_and_line(B,line_connecting(A,B))),file('/tmp/SystemOnTPTP18174/GEO170+1.p',unknown),[]).
%
% cnf(149476816,plain,(~distinct_points(A,B)|~apart_point_and_line(B,line_connecting(A,B))),inference(rewrite,[status(thm)],[ci2]),[]).
%
% cnf(165340840,plain,(~apart_point_and_line(y,line_connecting(x,y))),inference(resolution,[status(thm)],[149476816,149618688]),[]).
%
% cnf(165584824,plain,(apart_point_and_line(x,line_connecting(x,y))|apart_point_and_line(y,z)),inference(forward_subsumption_resolution__resolution,[status(thm)],[149591192,165528480,165340840]),[]).
%
% cnf(149602656,plain,(~apart_point_and_line(y,z)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(165589456,plain,(apart_point_and_line(x,line_connecting(x,y))),inference(resolution,[status(thm)],[165584824,149602656]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[165327392,165589456]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------