TSTP Solution File: GEO178+2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO178+2 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 11:58:22 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 58 ( 24 ~; 25 |; 9 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 7 !; 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/SystemOnTPTP1432/GEO178+2.p',unknown),
[] ).
cnf(164894064,plain,
( distinct_points(C,A)
| ~ apart_point_and_line(C,line_connecting(A,B))
| ~ distinct_points(A,B) ),
inference(rewrite,[status(thm)],[con1]),
[] ).
fof(con,plain,
( ( distinct_points(x,y)
| ~ distinct_points(z,y) )
& ( apart_point_and_line(z,line_connecting(x,y))
| ~ distinct_points(z,y) )
& ( ~ distinct_points(z,x)
| ~ distinct_points(z,y) )
& ( distinct_points(x,y)
| distinct_points(x,y) )
& ( apart_point_and_line(z,line_connecting(x,y))
| distinct_points(x,y) )
& ( ~ distinct_points(z,x)
| distinct_points(x,y) )
& ( distinct_points(x,y)
| apart_point_and_line(z,line_connecting(x,y)) )
& ( apart_point_and_line(z,line_connecting(x,y))
| apart_point_and_line(z,line_connecting(x,y)) )
& ( ~ distinct_points(z,x)
| apart_point_and_line(z,line_connecting(x,y)) ) ),
file('/tmp/SystemOnTPTP1432/GEO178+2.p',unknown),
[] ).
cnf(165077352,plain,
distinct_points(x,y),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(183439944,plain,
( distinct_points(A,x)
| ~ apart_point_and_line(A,line_connecting(x,y)) ),
inference(resolution,[status(thm)],[164894064,165077352]),
[] ).
cnf(165064472,plain,
apart_point_and_line(z,line_connecting(x,y)),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(183597000,plain,
distinct_points(z,x),
inference(resolution,[status(thm)],[183439944,165064472]),
[] ).
cnf(164889752,plain,
( distinct_points(C,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| ~ distinct_points(A,B) ),
inference(rewrite,[status(thm)],[con1]),
[] ).
cnf(183428672,plain,
( distinct_points(A,y)
| ~ apart_point_and_line(A,line_connecting(x,y)) ),
inference(resolution,[status(thm)],[164889752,165077352]),
[] ).
cnf(183591792,plain,
distinct_points(z,y),
inference(resolution,[status(thm)],[183428672,165064472]),
[] ).
fof(apart4,plain,
! [A,B,C] :
( ~ distinct_points(A,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
file('/tmp/SystemOnTPTP1432/GEO178+2.p',unknown),
[] ).
cnf(164850584,plain,
( ~ distinct_points(A,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
inference(rewrite,[status(thm)],[apart4]),
[] ).
fof(apart1,plain,
! [A] : ~ distinct_points(A,A),
file('/tmp/SystemOnTPTP1432/GEO178+2.p',unknown),
[] ).
cnf(164829472,plain,
~ distinct_points(A,A),
inference(rewrite,[status(thm)],[apart1]),
[] ).
cnf(183655032,plain,
( ~ distinct_points(A,B)
| distinct_points(B,A) ),
inference(resolution,[status(thm)],[164850584,164829472]),
[] ).
cnf(165081880,plain,
( ~ distinct_points(z,x)
| ~ distinct_points(z,y) ),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(183748808,plain,
~ distinct_points(x,z),
inference(forward_subsumption_resolution__resolution,[status(thm)],[183591792,183655032,165081880]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[183597000,183748808,183655032]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 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/SystemOnTPTP1432/GEO178+2.p',unknown),[]).
%
% cnf(164894064,plain,(distinct_points(C,A)|~apart_point_and_line(C,line_connecting(A,B))|~distinct_points(A,B)),inference(rewrite,[status(thm)],[con1]),[]).
%
% fof(con,plain,(((distinct_points(x,y)|~distinct_points(z,y))&(apart_point_and_line(z,line_connecting(x,y))|~distinct_points(z,y))&(~distinct_points(z,x)|~distinct_points(z,y))&(distinct_points(x,y)|distinct_points(x,y))&(apart_point_and_line(z,line_connecting(x,y))|distinct_points(x,y))&(~distinct_points(z,x)|distinct_points(x,y))&(distinct_points(x,y)|apart_point_and_line(z,line_connecting(x,y)))&(apart_point_and_line(z,line_connecting(x,y))|apart_point_and_line(z,line_connecting(x,y)))&(~distinct_points(z,x)|apart_point_and_line(z,line_connecting(x,y))))),file('/tmp/SystemOnTPTP1432/GEO178+2.p',unknown),[]).
%
% cnf(165077352,plain,(distinct_points(x,y)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(183439944,plain,(distinct_points(A,x)|~apart_point_and_line(A,line_connecting(x,y))),inference(resolution,[status(thm)],[164894064,165077352]),[]).
%
% cnf(165064472,plain,(apart_point_and_line(z,line_connecting(x,y))),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(183597000,plain,(distinct_points(z,x)),inference(resolution,[status(thm)],[183439944,165064472]),[]).
%
% cnf(164889752,plain,(distinct_points(C,B)|~apart_point_and_line(C,line_connecting(A,B))|~distinct_points(A,B)),inference(rewrite,[status(thm)],[con1]),[]).
%
% cnf(183428672,plain,(distinct_points(A,y)|~apart_point_and_line(A,line_connecting(x,y))),inference(resolution,[status(thm)],[164889752,165077352]),[]).
%
% cnf(183591792,plain,(distinct_points(z,y)),inference(resolution,[status(thm)],[183428672,165064472]),[]).
%
% fof(apart4,plain,(~distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C)),file('/tmp/SystemOnTPTP1432/GEO178+2.p',unknown),[]).
%
% cnf(164850584,plain,(~distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C)),inference(rewrite,[status(thm)],[apart4]),[]).
%
% fof(apart1,plain,(~distinct_points(A,A)),file('/tmp/SystemOnTPTP1432/GEO178+2.p',unknown),[]).
%
% cnf(164829472,plain,(~distinct_points(A,A)),inference(rewrite,[status(thm)],[apart1]),[]).
%
% cnf(183655032,plain,(~distinct_points(A,B)|distinct_points(B,A)),inference(resolution,[status(thm)],[164850584,164829472]),[]).
%
% cnf(165081880,plain,(~distinct_points(z,x)|~distinct_points(z,y)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(183748808,plain,(~distinct_points(x,z)),inference(forward_subsumption_resolution__resolution,[status(thm)],[183591792,183655032,165081880]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[183597000,183748808,183655032]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------