TSTP Solution File: GEO069-3 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO069-3 : TPTP v3.4.2. Bugfixed v1.2.1.
% 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 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:54:44 EDT 2009
% Result : Unsatisfiable 1.7s
% Output : Refutation 1.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 22 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t10_2,plain,
! [A,B,C] :
( ~ colinear(A,B,C)
| colinear(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),
[] ).
cnf(149638040,plain,
( ~ colinear(A,B,C)
| colinear(B,C,A) ),
inference(rewrite,[status(thm)],[t10_2]),
[] ).
fof(t12_2,plain,
! [A,B,C,D] :
( ~ colinear(A,B,C)
| ~ colinear(A,B,D)
| colinear(B,C,D)
| $equal(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),
[] ).
cnf(149702344,plain,
( ~ colinear(A,B,C)
| ~ colinear(A,B,D)
| colinear(B,C,D)
| $equal(B,A) ),
inference(rewrite,[status(thm)],[t12_2]),
[] ).
fof(t10_1,plain,
! [A,B,C] :
( ~ colinear(A,B,C)
| colinear(C,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),
[] ).
cnf(149633664,plain,
( ~ colinear(A,B,C)
| colinear(C,B,A) ),
inference(rewrite,[status(thm)],[t10_1]),
[] ).
fof(xvu_colinear,plain,
colinear(x,v,u),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),
[] ).
cnf(149713240,plain,
colinear(x,v,u),
inference(rewrite,[status(thm)],[xvu_colinear]),
[] ).
cnf(160138720,plain,
colinear(u,v,x),
inference(resolution,[status(thm)],[149633664,149713240]),
[] ).
cnf(163288904,plain,
( ~ colinear(u,v,A)
| colinear(v,x,A)
| $equal(v,u) ),
inference(resolution,[status(thm)],[149702344,160138720]),
[] ).
fof(u_not_v,plain,
~ $equal(v,u),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),
[] ).
cnf(149705608,plain,
~ $equal(v,u),
inference(rewrite,[status(thm)],[u_not_v]),
[] ).
cnf(163325840,plain,
( ~ colinear(u,v,A)
| colinear(v,x,A) ),
inference(resolution,[status(thm)],[163288904,149705608]),
[] ).
fof(wvu_colinear,plain,
colinear(w,v,u),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),
[] ).
cnf(149709472,plain,
colinear(w,v,u),
inference(rewrite,[status(thm)],[wvu_colinear]),
[] ).
cnf(162243496,plain,
colinear(u,v,w),
inference(resolution,[status(thm)],[149633664,149709472]),
[] ).
cnf(164353600,plain,
colinear(v,x,w),
inference(resolution,[status(thm)],[163325840,162243496]),
[] ).
cnf(173362536,plain,
colinear(x,w,v),
inference(resolution,[status(thm)],[149638040,164353600]),
[] ).
fof(prove_xwu_and_xwv_colinear,plain,
( ~ colinear(x,w,u)
| ~ colinear(x,w,v) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),
[] ).
cnf(149722872,plain,
( ~ colinear(x,w,u)
| ~ colinear(x,w,v) ),
inference(rewrite,[status(thm)],[prove_xwu_and_xwv_colinear]),
[] ).
fof(t12_1,plain,
! [A,B,C,D] :
( ~ colinear(A,B,C)
| ~ colinear(A,B,D)
| colinear(A,C,D)
| $equal(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),
[] ).
cnf(149697760,plain,
( ~ colinear(A,B,C)
| ~ colinear(A,B,D)
| colinear(A,C,D)
| $equal(B,A) ),
inference(rewrite,[status(thm)],[t12_1]),
[] ).
cnf(163182496,plain,
( ~ colinear(u,v,A)
| colinear(u,x,A)
| $equal(v,u) ),
inference(resolution,[status(thm)],[149697760,160138720]),
[] ).
cnf(163219600,plain,
( ~ colinear(u,v,A)
| colinear(u,x,A) ),
inference(resolution,[status(thm)],[163182496,149705608]),
[] ).
cnf(164199912,plain,
colinear(u,x,w),
inference(resolution,[status(thm)],[163219600,162243496]),
[] ).
cnf(171523720,plain,
colinear(x,w,u),
inference(resolution,[status(thm)],[149638040,164199912]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[173362536,149722872,171523720]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(t10_2,plain,(~colinear(A,B,C)|colinear(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),[]).
%
% cnf(149638040,plain,(~colinear(A,B,C)|colinear(B,C,A)),inference(rewrite,[status(thm)],[t10_2]),[]).
%
% fof(t12_2,plain,(~colinear(A,B,C)|~colinear(A,B,D)|colinear(B,C,D)|$equal(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),[]).
%
% cnf(149702344,plain,(~colinear(A,B,C)|~colinear(A,B,D)|colinear(B,C,D)|$equal(B,A)),inference(rewrite,[status(thm)],[t12_2]),[]).
%
% fof(t10_1,plain,(~colinear(A,B,C)|colinear(C,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),[]).
%
% cnf(149633664,plain,(~colinear(A,B,C)|colinear(C,B,A)),inference(rewrite,[status(thm)],[t10_1]),[]).
%
% fof(xvu_colinear,plain,(colinear(x,v,u)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),[]).
%
% cnf(149713240,plain,(colinear(x,v,u)),inference(rewrite,[status(thm)],[xvu_colinear]),[]).
%
% cnf(160138720,plain,(colinear(u,v,x)),inference(resolution,[status(thm)],[149633664,149713240]),[]).
%
% cnf(163288904,plain,(~colinear(u,v,A)|colinear(v,x,A)|$equal(v,u)),inference(resolution,[status(thm)],[149702344,160138720]),[]).
%
% fof(u_not_v,plain,(~$equal(v,u)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),[]).
%
% cnf(149705608,plain,(~$equal(v,u)),inference(rewrite,[status(thm)],[u_not_v]),[]).
%
% cnf(163325840,plain,(~colinear(u,v,A)|colinear(v,x,A)),inference(resolution,[status(thm)],[163288904,149705608]),[]).
%
% fof(wvu_colinear,plain,(colinear(w,v,u)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),[]).
%
% cnf(149709472,plain,(colinear(w,v,u)),inference(rewrite,[status(thm)],[wvu_colinear]),[]).
%
% cnf(162243496,plain,(colinear(u,v,w)),inference(resolution,[status(thm)],[149633664,149709472]),[]).
%
% cnf(164353600,plain,(colinear(v,x,w)),inference(resolution,[status(thm)],[163325840,162243496]),[]).
%
% cnf(173362536,plain,(colinear(x,w,v)),inference(resolution,[status(thm)],[149638040,164353600]),[]).
%
% fof(prove_xwu_and_xwv_colinear,plain,(~colinear(x,w,u)|~colinear(x,w,v)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),[]).
%
% cnf(149722872,plain,(~colinear(x,w,u)|~colinear(x,w,v)),inference(rewrite,[status(thm)],[prove_xwu_and_xwv_colinear]),[]).
%
% fof(t12_1,plain,(~colinear(A,B,C)|~colinear(A,B,D)|colinear(A,C,D)|$equal(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO069-3.tptp',unknown),[]).
%
% cnf(149697760,plain,(~colinear(A,B,C)|~colinear(A,B,D)|colinear(A,C,D)|$equal(B,A)),inference(rewrite,[status(thm)],[t12_1]),[]).
%
% cnf(163182496,plain,(~colinear(u,v,A)|colinear(u,x,A)|$equal(v,u)),inference(resolution,[status(thm)],[149697760,160138720]),[]).
%
% cnf(163219600,plain,(~colinear(u,v,A)|colinear(u,x,A)),inference(resolution,[status(thm)],[163182496,149705608]),[]).
%
% cnf(164199912,plain,(colinear(u,x,w)),inference(resolution,[status(thm)],[163219600,162243496]),[]).
%
% cnf(171523720,plain,(colinear(x,w,u)),inference(resolution,[status(thm)],[149638040,164199912]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[173362536,149722872,171523720]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------