TSTP Solution File: GEO218+2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO218+2 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 12:03:00 EDT 2009
% Result : Theorem 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 52 ( 21 ~; 26 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(con,plain,
( ~ convergent_lines(l,m)
& ~ not_orthogonal_through_point(l,n)
& not_orthogonal_through_point(m,n) ),
file('/tmp/SystemOnTPTP17498/GEO218+2.p',unknown),
[] ).
cnf(145158600,plain,
~ not_orthogonal_through_point(l,n),
inference(rewrite,[status(thm)],[con]),
[] ).
fof(apart6,plain,
! [A,B,C] :
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('/tmp/SystemOnTPTP17498/GEO218+2.p',unknown),
[] ).
cnf(144965968,plain,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
inference(rewrite,[status(thm)],[apart6]),
[] ).
cnf(145169880,plain,
~ convergent_lines(l,m),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(158685408,plain,
( ~ convergent_lines(l,A)
| convergent_lines(A,m) ),
inference(resolution,[status(thm)],[144965968,145169880]),
[] ).
fof(coipo1,plain,
! [A,B] :
( convergent_lines(A,B)
| not_orthogonal_through_point(A,B) ),
file('/tmp/SystemOnTPTP17498/GEO218+2.p',unknown),
[] ).
cnf(145049376,plain,
( convergent_lines(A,B)
| not_orthogonal_through_point(A,B) ),
inference(rewrite,[status(thm)],[coipo1]),
[] ).
cnf(159366080,plain,
( convergent_lines(A,m)
| not_orthogonal_through_point(l,A) ),
inference(resolution,[status(thm)],[158685408,145049376]),
[] ).
fof(apart3,plain,
! [A] : ~ convergent_lines(A,A),
file('/tmp/SystemOnTPTP17498/GEO218+2.p',unknown),
[] ).
cnf(144939528,plain,
~ convergent_lines(A,A),
inference(rewrite,[status(thm)],[apart3]),
[] ).
cnf(158385680,plain,
( ~ convergent_lines(A,B)
| convergent_lines(B,A) ),
inference(resolution,[status(thm)],[144965968,144939528]),
[] ).
cnf(159491056,plain,
( not_orthogonal_through_point(l,A)
| convergent_lines(m,A) ),
inference(resolution,[status(thm)],[159366080,158385680]),
[] ).
fof(cotno1,plain,
! [A,C,B] :
( ( not_orthogonal_through_point(A,C)
| convergent_lines(A,B)
| ~ convergent_lines(B,C)
| ~ not_orthogonal_through_point(B,C) )
& ( convergent_lines(A,C)
| convergent_lines(A,B)
| ~ convergent_lines(B,C)
| ~ not_orthogonal_through_point(B,C) )
& ( not_orthogonal_through_point(A,C)
| not_orthogonal_through_point(A,B)
| ~ convergent_lines(B,C)
| ~ not_orthogonal_through_point(B,C) )
& ( convergent_lines(A,C)
| not_orthogonal_through_point(A,B)
| ~ convergent_lines(B,C)
| ~ not_orthogonal_through_point(B,C) ) ),
file('/tmp/SystemOnTPTP17498/GEO218+2.p',unknown),
[] ).
cnf(145091216,plain,
( not_orthogonal_through_point(A,C)
| convergent_lines(A,B)
| ~ convergent_lines(B,C)
| ~ not_orthogonal_through_point(B,C) ),
inference(rewrite,[status(thm)],[cotno1]),
[] ).
cnf(161638344,plain,
( not_orthogonal_through_point(l,A)
| ~ not_orthogonal_through_point(m,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[159491056,145091216,145169880]),
[] ).
cnf(145149600,plain,
not_orthogonal_through_point(m,n),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(161642672,plain,
not_orthogonal_through_point(l,n),
inference(resolution,[status(thm)],[161638344,145149600]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[145158600,161642672]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(con,plain,((~convergent_lines(l,m)&~not_orthogonal_through_point(l,n)¬_orthogonal_through_point(m,n))),file('/tmp/SystemOnTPTP17498/GEO218+2.p',unknown),[]).
%
% cnf(145158600,plain,(~not_orthogonal_through_point(l,n)),inference(rewrite,[status(thm)],[con]),[]).
%
% fof(apart6,plain,(~convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C)),file('/tmp/SystemOnTPTP17498/GEO218+2.p',unknown),[]).
%
% cnf(144965968,plain,(~convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C)),inference(rewrite,[status(thm)],[apart6]),[]).
%
% cnf(145169880,plain,(~convergent_lines(l,m)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(158685408,plain,(~convergent_lines(l,A)|convergent_lines(A,m)),inference(resolution,[status(thm)],[144965968,145169880]),[]).
%
% fof(coipo1,plain,(convergent_lines(A,B)|not_orthogonal_through_point(A,B)),file('/tmp/SystemOnTPTP17498/GEO218+2.p',unknown),[]).
%
% cnf(145049376,plain,(convergent_lines(A,B)|not_orthogonal_through_point(A,B)),inference(rewrite,[status(thm)],[coipo1]),[]).
%
% cnf(159366080,plain,(convergent_lines(A,m)|not_orthogonal_through_point(l,A)),inference(resolution,[status(thm)],[158685408,145049376]),[]).
%
% fof(apart3,plain,(~convergent_lines(A,A)),file('/tmp/SystemOnTPTP17498/GEO218+2.p',unknown),[]).
%
% cnf(144939528,plain,(~convergent_lines(A,A)),inference(rewrite,[status(thm)],[apart3]),[]).
%
% cnf(158385680,plain,(~convergent_lines(A,B)|convergent_lines(B,A)),inference(resolution,[status(thm)],[144965968,144939528]),[]).
%
% cnf(159491056,plain,(not_orthogonal_through_point(l,A)|convergent_lines(m,A)),inference(resolution,[status(thm)],[159366080,158385680]),[]).
%
% fof(cotno1,plain,(((not_orthogonal_through_point(A,C)|convergent_lines(A,B)|~convergent_lines(B,C)|~not_orthogonal_through_point(B,C))&(convergent_lines(A,C)|convergent_lines(A,B)|~convergent_lines(B,C)|~not_orthogonal_through_point(B,C))&(not_orthogonal_through_point(A,C)|not_orthogonal_through_point(A,B)|~convergent_lines(B,C)|~not_orthogonal_through_point(B,C))&(convergent_lines(A,C)|not_orthogonal_through_point(A,B)|~convergent_lines(B,C)|~not_orthogonal_through_point(B,C)))),file('/tmp/SystemOnTPTP17498/GEO218+2.p',unknown),[]).
%
% cnf(145091216,plain,(not_orthogonal_through_point(A,C)|convergent_lines(A,B)|~convergent_lines(B,C)|~not_orthogonal_through_point(B,C)),inference(rewrite,[status(thm)],[cotno1]),[]).
%
% cnf(161638344,plain,(not_orthogonal_through_point(l,A)|~not_orthogonal_through_point(m,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[159491056,145091216,145169880]),[]).
%
% cnf(145149600,plain,(not_orthogonal_through_point(m,n)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(161642672,plain,(not_orthogonal_through_point(l,n)),inference(resolution,[status(thm)],[161638344,145149600]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[145158600,161642672]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------