TSTP Solution File: KRS001-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS001-1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 13:24:27 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 26 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 23 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_6,plain,
! [A] :
( r(A,u1r2(A))
| ~ r2least(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),
[] ).
cnf(162027984,plain,
( r(A,u1r2(A))
| ~ r2least(A) ),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
fof(clause_2,plain,
! [A] :
( r2least(A)
| ~ c(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),
[] ).
cnf(161997976,plain,
( r2least(A)
| ~ c(A) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
fof(clause_15,plain,
! [A] :
( c(A)
| ~ e(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),
[] ).
cnf(162095064,plain,
( c(A)
| ~ e(A) ),
inference(rewrite,[status(thm)],[clause_15]),
[] ).
fof(clause_1,plain,
e(exist),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),
[] ).
cnf(161991192,plain,
e(exist),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
cnf(169930016,plain,
c(exist),
inference(resolution,[status(thm)],[162095064,161991192]),
[] ).
cnf(169947096,plain,
r2least(exist),
inference(resolution,[status(thm)],[161997976,169930016]),
[] ).
cnf(169995944,plain,
r(exist,u1r2(exist)),
inference(resolution,[status(thm)],[162027984,169947096]),
[] ).
fof(clause_10,plain,
! [A,B,C] :
( equalish(A,B)
| ~ r1most(C)
| ~ r(C,A)
| ~ r(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),
[] ).
cnf(162067464,plain,
( equalish(A,B)
| ~ r1most(C)
| ~ r(C,A)
| ~ r(C,B) ),
inference(rewrite,[status(thm)],[clause_10]),
[] ).
fof(clause_8,plain,
! [A] :
( r1most(A)
| ~ d(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),
[] ).
cnf(162046720,plain,
( r1most(A)
| ~ d(A) ),
inference(rewrite,[status(thm)],[clause_8]),
[] ).
fof(clause_14,plain,
! [A] :
( d(A)
| ~ e(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),
[] ).
cnf(162090040,plain,
( d(A)
| ~ e(A) ),
inference(rewrite,[status(thm)],[clause_14]),
[] ).
cnf(169917840,plain,
d(exist),
inference(resolution,[status(thm)],[162090040,161991192]),
[] ).
cnf(169938096,plain,
r1most(exist),
inference(resolution,[status(thm)],[162046720,169917840]),
[] ).
cnf(169965184,plain,
( equalish(A,B)
| ~ r(exist,A)
| ~ r(exist,B) ),
inference(resolution,[status(thm)],[162067464,169938096]),
[] ).
fof(clause_5,plain,
! [A] :
( r(A,u1r1(A))
| ~ r2least(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),
[] ).
cnf(162022152,plain,
( r(A,u1r1(A))
| ~ r2least(A) ),
inference(rewrite,[status(thm)],[clause_5]),
[] ).
cnf(169982968,plain,
r(exist,u1r1(exist)),
inference(resolution,[status(thm)],[162022152,169947096]),
[] ).
cnf(170047880,plain,
( equalish(A,u1r1(exist))
| ~ r(exist,A) ),
inference(resolution,[status(thm)],[169965184,169982968]),
[] ).
fof(clause_4,plain,
! [A] :
( ~ r2least(A)
| ~ equalish(u1r2(A),u1r1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),
[] ).
cnf(162011352,plain,
( ~ r2least(A)
| ~ equalish(u1r2(A),u1r1(A)) ),
inference(rewrite,[status(thm)],[clause_4]),
[] ).
cnf(170011128,plain,
~ equalish(u1r2(exist),u1r1(exist)),
inference(resolution,[status(thm)],[162011352,169947096]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[169995944,170047880,170011128]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_6,plain,(r(A,u1r2(A))|~r2least(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),[]).
%
% cnf(162027984,plain,(r(A,u1r2(A))|~r2least(A)),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% fof(clause_2,plain,(r2least(A)|~c(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),[]).
%
% cnf(161997976,plain,(r2least(A)|~c(A)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% fof(clause_15,plain,(c(A)|~e(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),[]).
%
% cnf(162095064,plain,(c(A)|~e(A)),inference(rewrite,[status(thm)],[clause_15]),[]).
%
% fof(clause_1,plain,(e(exist)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),[]).
%
% cnf(161991192,plain,(e(exist)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% cnf(169930016,plain,(c(exist)),inference(resolution,[status(thm)],[162095064,161991192]),[]).
%
% cnf(169947096,plain,(r2least(exist)),inference(resolution,[status(thm)],[161997976,169930016]),[]).
%
% cnf(169995944,plain,(r(exist,u1r2(exist))),inference(resolution,[status(thm)],[162027984,169947096]),[]).
%
% fof(clause_10,plain,(equalish(A,B)|~r1most(C)|~r(C,A)|~r(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),[]).
%
% cnf(162067464,plain,(equalish(A,B)|~r1most(C)|~r(C,A)|~r(C,B)),inference(rewrite,[status(thm)],[clause_10]),[]).
%
% fof(clause_8,plain,(r1most(A)|~d(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),[]).
%
% cnf(162046720,plain,(r1most(A)|~d(A)),inference(rewrite,[status(thm)],[clause_8]),[]).
%
% fof(clause_14,plain,(d(A)|~e(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),[]).
%
% cnf(162090040,plain,(d(A)|~e(A)),inference(rewrite,[status(thm)],[clause_14]),[]).
%
% cnf(169917840,plain,(d(exist)),inference(resolution,[status(thm)],[162090040,161991192]),[]).
%
% cnf(169938096,plain,(r1most(exist)),inference(resolution,[status(thm)],[162046720,169917840]),[]).
%
% cnf(169965184,plain,(equalish(A,B)|~r(exist,A)|~r(exist,B)),inference(resolution,[status(thm)],[162067464,169938096]),[]).
%
% fof(clause_5,plain,(r(A,u1r1(A))|~r2least(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),[]).
%
% cnf(162022152,plain,(r(A,u1r1(A))|~r2least(A)),inference(rewrite,[status(thm)],[clause_5]),[]).
%
% cnf(169982968,plain,(r(exist,u1r1(exist))),inference(resolution,[status(thm)],[162022152,169947096]),[]).
%
% cnf(170047880,plain,(equalish(A,u1r1(exist))|~r(exist,A)),inference(resolution,[status(thm)],[169965184,169982968]),[]).
%
% fof(clause_4,plain,(~r2least(A)|~equalish(u1r2(A),u1r1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS001-1.tptp',unknown),[]).
%
% cnf(162011352,plain,(~r2least(A)|~equalish(u1r2(A),u1r1(A))),inference(rewrite,[status(thm)],[clause_4]),[]).
%
% cnf(170011128,plain,(~equalish(u1r2(exist),u1r1(exist))),inference(resolution,[status(thm)],[162011352,169947096]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[169995944,170047880,170011128]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------