TSTP Solution File: GEO045-3 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO045-3 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:53:49 EDT 2009
% Result : Unsatisfiable 107.9s
% Output : Refutation 107.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 17 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 22 ~; 18 |; 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 : 35 ( 3 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t1,plain,
! [A,B,C] :
( ~ between(A,B,C)
| between(C,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),
[] ).
cnf(152098280,plain,
( ~ between(A,B,C)
| between(C,B,A) ),
inference(rewrite,[status(thm)],[t1]),
[] ).
fof(prove_v_between_u_and_x,plain,
~ between(u,v,x),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),
[] ).
cnf(152148000,plain,
~ between(u,v,x),
inference(rewrite,[status(thm)],[prove_v_between_u_and_x]),
[] ).
cnf(204980336,plain,
~ between(x,v,u),
inference(resolution,[status(thm)],[152098280,152148000]),
[] ).
fof(b6,plain,
! [A,B,C,D] :
( ~ between(A,B,C)
| ~ between(B,C,D)
| between(A,C,D)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),
[] ).
cnf(152124440,plain,
( ~ between(A,B,C)
| ~ between(B,C,D)
| between(A,C,D)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[b6]),
[] ).
fof(v_between_u_and_w,plain,
between(u,v,w),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),
[] ).
cnf(152128072,plain,
between(u,v,w),
inference(rewrite,[status(thm)],[v_between_u_and_w]),
[] ).
cnf(160893656,plain,
between(w,v,u),
inference(resolution,[status(thm)],[152098280,152128072]),
[] ).
cnf(169323856,plain,
( ~ between(A,w,v)
| between(A,v,u)
| $equal(v,w) ),
inference(resolution,[status(thm)],[152124440,160893656]),
[] ).
fof(b1,plain,
! [A,B,C,D] :
( ~ between(A,B,C)
| ~ $equal(C,A)
| between(D,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),
[] ).
cnf(152093096,plain,
( ~ between(A,B,C)
| ~ $equal(C,A)
| between(D,B,C) ),
inference(rewrite,[status(thm)],[b1]),
[] ).
fof(t2,plain,
! [A,B] : between(A,A,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),
[] ).
cnf(152106504,plain,
between(A,A,B),
inference(rewrite,[status(thm)],[t2]),
[] ).
cnf(160382648,plain,
( ~ $equal(B,A)
| between(C,A,B) ),
inference(resolution,[status(thm)],[152093096,152106504]),
[] ).
fof(identity_for_betweeness,plain,
! [A,B] :
( ~ between(A,B,A)
| $equal(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),
[] ).
cnf(151742096,plain,
( ~ between(A,B,A)
| $equal(B,A) ),
inference(rewrite,[status(thm)],[identity_for_betweeness]),
[] ).
fof(v_not_w,plain,
~ $equal(w,v),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),
[] ).
cnf(152143776,plain,
~ $equal(w,v),
inference(rewrite,[status(thm)],[v_not_w]),
[] ).
cnf(168200872,plain,
~ between(v,w,v),
inference(resolution,[status(thm)],[151742096,152143776]),
[] ).
cnf(209501144,plain,
~ $equal(v,w),
inference(resolution,[status(thm)],[160382648,168200872]),
[] ).
cnf(337576272,plain,
( ~ between(A,w,v)
| between(A,v,u) ),
inference(resolution,[status(thm)],[169323856,209501144]),
[] ).
fof(w_between_v_and_x,plain,
between(v,w,x),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),
[] ).
cnf(152140064,plain,
between(v,w,x),
inference(rewrite,[status(thm)],[w_between_v_and_x]),
[] ).
cnf(166884648,plain,
between(x,w,v),
inference(resolution,[status(thm)],[152098280,152140064]),
[] ).
cnf(337586008,plain,
between(x,v,u),
inference(resolution,[status(thm)],[337576272,166884648]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[204980336,337586008]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 106 seconds
% START OF PROOF SEQUENCE
% fof(t1,plain,(~between(A,B,C)|between(C,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),[]).
%
% cnf(152098280,plain,(~between(A,B,C)|between(C,B,A)),inference(rewrite,[status(thm)],[t1]),[]).
%
% fof(prove_v_between_u_and_x,plain,(~between(u,v,x)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),[]).
%
% cnf(152148000,plain,(~between(u,v,x)),inference(rewrite,[status(thm)],[prove_v_between_u_and_x]),[]).
%
% cnf(204980336,plain,(~between(x,v,u)),inference(resolution,[status(thm)],[152098280,152148000]),[]).
%
% fof(b6,plain,(~between(A,B,C)|~between(B,C,D)|between(A,C,D)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),[]).
%
% cnf(152124440,plain,(~between(A,B,C)|~between(B,C,D)|between(A,C,D)|$equal(C,B)),inference(rewrite,[status(thm)],[b6]),[]).
%
% fof(v_between_u_and_w,plain,(between(u,v,w)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),[]).
%
% cnf(152128072,plain,(between(u,v,w)),inference(rewrite,[status(thm)],[v_between_u_and_w]),[]).
%
% cnf(160893656,plain,(between(w,v,u)),inference(resolution,[status(thm)],[152098280,152128072]),[]).
%
% cnf(169323856,plain,(~between(A,w,v)|between(A,v,u)|$equal(v,w)),inference(resolution,[status(thm)],[152124440,160893656]),[]).
%
% fof(b1,plain,(~between(A,B,C)|~$equal(C,A)|between(D,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),[]).
%
% cnf(152093096,plain,(~between(A,B,C)|~$equal(C,A)|between(D,B,C)),inference(rewrite,[status(thm)],[b1]),[]).
%
% fof(t2,plain,(between(A,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),[]).
%
% cnf(152106504,plain,(between(A,A,B)),inference(rewrite,[status(thm)],[t2]),[]).
%
% cnf(160382648,plain,(~$equal(B,A)|between(C,A,B)),inference(resolution,[status(thm)],[152093096,152106504]),[]).
%
% fof(identity_for_betweeness,plain,(~between(A,B,A)|$equal(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),[]).
%
% cnf(151742096,plain,(~between(A,B,A)|$equal(B,A)),inference(rewrite,[status(thm)],[identity_for_betweeness]),[]).
%
% fof(v_not_w,plain,(~$equal(w,v)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),[]).
%
% cnf(152143776,plain,(~$equal(w,v)),inference(rewrite,[status(thm)],[v_not_w]),[]).
%
% cnf(168200872,plain,(~between(v,w,v)),inference(resolution,[status(thm)],[151742096,152143776]),[]).
%
% cnf(209501144,plain,(~$equal(v,w)),inference(resolution,[status(thm)],[160382648,168200872]),[]).
%
% cnf(337576272,plain,(~between(A,w,v)|between(A,v,u)),inference(resolution,[status(thm)],[169323856,209501144]),[]).
%
% fof(w_between_v_and_x,plain,(between(v,w,x)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO045-3.tptp',unknown),[]).
%
% cnf(152140064,plain,(between(v,w,x)),inference(rewrite,[status(thm)],[w_between_v_and_x]),[]).
%
% cnf(166884648,plain,(between(x,w,v)),inference(resolution,[status(thm)],[152098280,152140064]),[]).
%
% cnf(337586008,plain,(between(x,v,u)),inference(resolution,[status(thm)],[337576272,166884648]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[204980336,337586008]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------