TSTP Solution File: GEO192+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO192+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 12:00:02 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 60 ( 27 ~; 25 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 26 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(ceq2,plain,
! [A,B,C] :
( ~ apart_point_and_line(A,B)
| distinct_lines(B,C)
| apart_point_and_line(A,C) ),
file('/tmp/SystemOnTPTP1870/GEO192+1.p',unknown),
[] ).
cnf(160473704,plain,
( ~ apart_point_and_line(A,B)
| distinct_lines(B,C)
| apart_point_and_line(A,C) ),
inference(rewrite,[status(thm)],[ceq2]),
[] ).
fof(con,plain,
( ( convergent_lines(x,y)
| ~ distinct_lines(x,z) )
& ( ~ distinct_lines(y,z)
| ~ distinct_lines(x,z) )
& ( apart_point_and_line(intersection_point(x,y),z)
| ~ distinct_lines(x,z) )
& ( convergent_lines(x,y)
| apart_point_and_line(intersection_point(x,y),z) )
& ( ~ distinct_lines(y,z)
| apart_point_and_line(intersection_point(x,y),z) )
& ( apart_point_and_line(intersection_point(x,y),z)
| apart_point_and_line(intersection_point(x,y),z) )
& ( convergent_lines(x,y)
| convergent_lines(x,y) )
& ( ~ distinct_lines(y,z)
| convergent_lines(x,y) )
& ( apart_point_and_line(intersection_point(x,y),z)
| convergent_lines(x,y) ) ),
file('/tmp/SystemOnTPTP1870/GEO192+1.p',unknown),
[] ).
cnf(160614464,plain,
apart_point_and_line(intersection_point(x,y),z),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(179050176,plain,
( distinct_lines(z,A)
| apart_point_and_line(intersection_point(x,y),A) ),
inference(resolution,[status(thm)],[160473704,160614464]),
[] ).
fof(ci3,plain,
! [A,B] :
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),A) ),
file('/tmp/SystemOnTPTP1870/GEO192+1.p',unknown),
[] ).
cnf(160439688,plain,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),A) ),
inference(rewrite,[status(thm)],[ci3]),
[] ).
cnf(160610608,plain,
convergent_lines(x,y),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(178956432,plain,
~ apart_point_and_line(intersection_point(x,y),x),
inference(resolution,[status(thm)],[160439688,160610608]),
[] ).
cnf(180485128,plain,
distinct_lines(z,x),
inference(resolution,[status(thm)],[179050176,178956432]),
[] ).
fof(apart5,plain,
! [A,B,C] :
( ~ distinct_lines(A,B)
| distinct_lines(A,C)
| distinct_lines(B,C) ),
file('/tmp/SystemOnTPTP1870/GEO192+1.p',unknown),
[] ).
cnf(160401648,plain,
( ~ distinct_lines(A,B)
| distinct_lines(A,C)
| distinct_lines(B,C) ),
inference(rewrite,[status(thm)],[apart5]),
[] ).
fof(apart2,plain,
! [A] : ~ distinct_lines(A,A),
file('/tmp/SystemOnTPTP1870/GEO192+1.p',unknown),
[] ).
cnf(160378048,plain,
~ distinct_lines(A,A),
inference(rewrite,[status(thm)],[apart2]),
[] ).
cnf(178990192,plain,
( ~ distinct_lines(A,B)
| distinct_lines(B,A) ),
inference(resolution,[status(thm)],[160401648,160378048]),
[] ).
fof(ci4,plain,
! [A,B] :
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),B) ),
file('/tmp/SystemOnTPTP1870/GEO192+1.p',unknown),
[] ).
cnf(160443888,plain,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),B) ),
inference(rewrite,[status(thm)],[ci4]),
[] ).
cnf(178970064,plain,
~ apart_point_and_line(intersection_point(x,y),y),
inference(resolution,[status(thm)],[160443888,160610608]),
[] ).
cnf(179158616,plain,
( ~ apart_point_and_line(intersection_point(x,y),A)
| distinct_lines(A,y) ),
inference(resolution,[status(thm)],[160473704,178970064]),
[] ).
cnf(179172272,plain,
distinct_lines(z,y),
inference(resolution,[status(thm)],[179158616,160614464]),
[] ).
cnf(179302400,plain,
distinct_lines(y,z),
inference(resolution,[status(thm)],[178990192,179172272]),
[] ).
cnf(160619160,plain,
( ~ distinct_lines(y,z)
| ~ distinct_lines(x,z) ),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(179399696,plain,
~ distinct_lines(z,x),
inference(forward_subsumption_resolution__resolution,[status(thm)],[179302400,178990192,160619160]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[180485128,179399696]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(ceq2,plain,(~apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C)),file('/tmp/SystemOnTPTP1870/GEO192+1.p',unknown),[]).
%
% cnf(160473704,plain,(~apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C)),inference(rewrite,[status(thm)],[ceq2]),[]).
%
% fof(con,plain,(((convergent_lines(x,y)|~distinct_lines(x,z))&(~distinct_lines(y,z)|~distinct_lines(x,z))&(apart_point_and_line(intersection_point(x,y),z)|~distinct_lines(x,z))&(convergent_lines(x,y)|apart_point_and_line(intersection_point(x,y),z))&(~distinct_lines(y,z)|apart_point_and_line(intersection_point(x,y),z))&(apart_point_and_line(intersection_point(x,y),z)|apart_point_and_line(intersection_point(x,y),z))&(convergent_lines(x,y)|convergent_lines(x,y))&(~distinct_lines(y,z)|convergent_lines(x,y))&(apart_point_and_line(intersection_point(x,y),z)|convergent_lines(x,y)))),file('/tmp/SystemOnTPTP1870/GEO192+1.p',unknown),[]).
%
% cnf(160614464,plain,(apart_point_and_line(intersection_point(x,y),z)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(179050176,plain,(distinct_lines(z,A)|apart_point_and_line(intersection_point(x,y),A)),inference(resolution,[status(thm)],[160473704,160614464]),[]).
%
% fof(ci3,plain,(~convergent_lines(A,B)|~apart_point_and_line(intersection_point(A,B),A)),file('/tmp/SystemOnTPTP1870/GEO192+1.p',unknown),[]).
%
% cnf(160439688,plain,(~convergent_lines(A,B)|~apart_point_and_line(intersection_point(A,B),A)),inference(rewrite,[status(thm)],[ci3]),[]).
%
% cnf(160610608,plain,(convergent_lines(x,y)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(178956432,plain,(~apart_point_and_line(intersection_point(x,y),x)),inference(resolution,[status(thm)],[160439688,160610608]),[]).
%
% cnf(180485128,plain,(distinct_lines(z,x)),inference(resolution,[status(thm)],[179050176,178956432]),[]).
%
% fof(apart5,plain,(~distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C)),file('/tmp/SystemOnTPTP1870/GEO192+1.p',unknown),[]).
%
% cnf(160401648,plain,(~distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C)),inference(rewrite,[status(thm)],[apart5]),[]).
%
% fof(apart2,plain,(~distinct_lines(A,A)),file('/tmp/SystemOnTPTP1870/GEO192+1.p',unknown),[]).
%
% cnf(160378048,plain,(~distinct_lines(A,A)),inference(rewrite,[status(thm)],[apart2]),[]).
%
% cnf(178990192,plain,(~distinct_lines(A,B)|distinct_lines(B,A)),inference(resolution,[status(thm)],[160401648,160378048]),[]).
%
% fof(ci4,plain,(~convergent_lines(A,B)|~apart_point_and_line(intersection_point(A,B),B)),file('/tmp/SystemOnTPTP1870/GEO192+1.p',unknown),[]).
%
% cnf(160443888,plain,(~convergent_lines(A,B)|~apart_point_and_line(intersection_point(A,B),B)),inference(rewrite,[status(thm)],[ci4]),[]).
%
% cnf(178970064,plain,(~apart_point_and_line(intersection_point(x,y),y)),inference(resolution,[status(thm)],[160443888,160610608]),[]).
%
% cnf(179158616,plain,(~apart_point_and_line(intersection_point(x,y),A)|distinct_lines(A,y)),inference(resolution,[status(thm)],[160473704,178970064]),[]).
%
% cnf(179172272,plain,(distinct_lines(z,y)),inference(resolution,[status(thm)],[179158616,160614464]),[]).
%
% cnf(179302400,plain,(distinct_lines(y,z)),inference(resolution,[status(thm)],[178990192,179172272]),[]).
%
% cnf(160619160,plain,(~distinct_lines(y,z)|~distinct_lines(x,z)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(179399696,plain,(~distinct_lines(z,x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[179302400,178990192,160619160]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[180485128,179399696]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------