TSTP Solution File: KRS002-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS002-1 : 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 13:24:29 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 32 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 27 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_6,plain,
! [A] :
( s(A,u1r2(A))
| ~ s2least(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),
[] ).
cnf(174180248,plain,
( s(A,u1r2(A))
| ~ s2least(A) ),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
fof(clause_2,plain,
! [A] :
( s2least(A)
| ~ c(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),
[] ).
cnf(174149760,plain,
( s2least(A)
| ~ c(A) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
fof(clause_1,plain,
e(exist),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),
[] ).
cnf(174142848,plain,
e(exist),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
fof(clause_16,plain,
! [A,B] :
( c(A)
| ~ e(B)
| ~ r(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),
[] ).
cnf(174258440,plain,
( c(A)
| ~ e(B)
| ~ r(B,A) ),
inference(rewrite,[status(thm)],[clause_16]),
[] ).
fof(clause_14,plain,
! [A] :
( r(A,u4r2(A))
| ~ e(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),
[] ).
cnf(174240624,plain,
( r(A,u4r2(A))
| ~ e(A) ),
inference(rewrite,[status(thm)],[clause_14]),
[] ).
cnf(182119096,plain,
r(exist,u4r2(exist)),
inference(resolution,[status(thm)],[174240624,174142848]),
[] ).
cnf(182162840,plain,
c(u4r2(exist)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[174142848,174258440,182119096]),
[] ).
cnf(182186496,plain,
s2least(u4r2(exist)),
inference(resolution,[status(thm)],[174149760,182162840]),
[] ).
cnf(182231560,plain,
s(u4r2(exist),u1r2(u4r2(exist))),
inference(resolution,[status(thm)],[174180248,182186496]),
[] ).
fof(clause_8,plain,
! [A] :
( s1most(A)
| ~ d(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),
[] ).
cnf(174199144,plain,
( s1most(A)
| ~ d(A) ),
inference(rewrite,[status(thm)],[clause_8]),
[] ).
fof(clause_15,plain,
! [A,B] :
( d(A)
| ~ e(B)
| ~ r(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),
[] ).
cnf(174251592,plain,
( d(A)
| ~ e(B)
| ~ r(B,A) ),
inference(rewrite,[status(thm)],[clause_15]),
[] ).
cnf(182153824,plain,
d(u4r2(exist)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[174142848,174251592,182119096]),
[] ).
cnf(182173416,plain,
s1most(u4r2(exist)),
inference(resolution,[status(thm)],[174199144,182153824]),
[] ).
fof(clause_10,plain,
! [A,B,C] :
( equalish(A,B)
| ~ s1most(C)
| ~ s(C,A)
| ~ s(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),
[] ).
cnf(174216024,plain,
( equalish(A,B)
| ~ s1most(C)
| ~ s(C,A)
| ~ s(C,B) ),
inference(rewrite,[status(thm)],[clause_10]),
[] ).
fof(clause_4,plain,
! [A] :
( ~ s2least(A)
| ~ equalish(u1r2(A),u1r1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),
[] ).
cnf(174163360,plain,
( ~ s2least(A)
| ~ equalish(u1r2(A),u1r1(A)) ),
inference(rewrite,[status(thm)],[clause_4]),
[] ).
cnf(182250896,plain,
~ equalish(u1r2(u4r2(exist)),u1r1(u4r2(exist))),
inference(resolution,[status(thm)],[174163360,182186496]),
[] ).
cnf(182333048,plain,
( ~ s1most(A)
| ~ s(A,u1r2(u4r2(exist)))
| ~ s(A,u1r1(u4r2(exist))) ),
inference(resolution,[status(thm)],[174216024,182250896]),
[] ).
fof(clause_5,plain,
! [A] :
( s(A,u1r1(A))
| ~ s2least(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),
[] ).
cnf(174174288,plain,
( s(A,u1r1(A))
| ~ s2least(A) ),
inference(rewrite,[status(thm)],[clause_5]),
[] ).
cnf(182218488,plain,
s(u4r2(exist),u1r1(u4r2(exist))),
inference(resolution,[status(thm)],[174174288,182186496]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[182231560,182173416,182333048,182218488]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(clause_6,plain,(s(A,u1r2(A))|~s2least(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),[]).
%
% cnf(174180248,plain,(s(A,u1r2(A))|~s2least(A)),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% fof(clause_2,plain,(s2least(A)|~c(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),[]).
%
% cnf(174149760,plain,(s2least(A)|~c(A)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% fof(clause_1,plain,(e(exist)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),[]).
%
% cnf(174142848,plain,(e(exist)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% fof(clause_16,plain,(c(A)|~e(B)|~r(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),[]).
%
% cnf(174258440,plain,(c(A)|~e(B)|~r(B,A)),inference(rewrite,[status(thm)],[clause_16]),[]).
%
% fof(clause_14,plain,(r(A,u4r2(A))|~e(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),[]).
%
% cnf(174240624,plain,(r(A,u4r2(A))|~e(A)),inference(rewrite,[status(thm)],[clause_14]),[]).
%
% cnf(182119096,plain,(r(exist,u4r2(exist))),inference(resolution,[status(thm)],[174240624,174142848]),[]).
%
% cnf(182162840,plain,(c(u4r2(exist))),inference(forward_subsumption_resolution__resolution,[status(thm)],[174142848,174258440,182119096]),[]).
%
% cnf(182186496,plain,(s2least(u4r2(exist))),inference(resolution,[status(thm)],[174149760,182162840]),[]).
%
% cnf(182231560,plain,(s(u4r2(exist),u1r2(u4r2(exist)))),inference(resolution,[status(thm)],[174180248,182186496]),[]).
%
% fof(clause_8,plain,(s1most(A)|~d(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),[]).
%
% cnf(174199144,plain,(s1most(A)|~d(A)),inference(rewrite,[status(thm)],[clause_8]),[]).
%
% fof(clause_15,plain,(d(A)|~e(B)|~r(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),[]).
%
% cnf(174251592,plain,(d(A)|~e(B)|~r(B,A)),inference(rewrite,[status(thm)],[clause_15]),[]).
%
% cnf(182153824,plain,(d(u4r2(exist))),inference(forward_subsumption_resolution__resolution,[status(thm)],[174142848,174251592,182119096]),[]).
%
% cnf(182173416,plain,(s1most(u4r2(exist))),inference(resolution,[status(thm)],[174199144,182153824]),[]).
%
% fof(clause_10,plain,(equalish(A,B)|~s1most(C)|~s(C,A)|~s(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),[]).
%
% cnf(174216024,plain,(equalish(A,B)|~s1most(C)|~s(C,A)|~s(C,B)),inference(rewrite,[status(thm)],[clause_10]),[]).
%
% fof(clause_4,plain,(~s2least(A)|~equalish(u1r2(A),u1r1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),[]).
%
% cnf(174163360,plain,(~s2least(A)|~equalish(u1r2(A),u1r1(A))),inference(rewrite,[status(thm)],[clause_4]),[]).
%
% cnf(182250896,plain,(~equalish(u1r2(u4r2(exist)),u1r1(u4r2(exist)))),inference(resolution,[status(thm)],[174163360,182186496]),[]).
%
% cnf(182333048,plain,(~s1most(A)|~s(A,u1r2(u4r2(exist)))|~s(A,u1r1(u4r2(exist)))),inference(resolution,[status(thm)],[174216024,182250896]),[]).
%
% fof(clause_5,plain,(s(A,u1r1(A))|~s2least(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS002-1.tptp',unknown),[]).
%
% cnf(174174288,plain,(s(A,u1r1(A))|~s2least(A)),inference(rewrite,[status(thm)],[clause_5]),[]).
%
% cnf(182218488,plain,(s(u4r2(exist),u1r1(u4r2(exist)))),inference(resolution,[status(thm)],[174174288,182186496]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[182231560,182173416,182333048,182218488]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------