TSTP Solution File: SYN009-4 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN009-4 : TPTP v3.4.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 16:37:44 EDT 2009
% Result : Unsatisfiable 1.2s
% Output : Refutation 1.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 61 ( 32 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 33 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_6,plain,
s(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-4.tptp',unknown),
[] ).
cnf(156992256,plain,
s(c),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
fof(clause_7,plain,
~ n(c,c,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-4.tptp',unknown),
[] ).
cnf(157031232,plain,
~ n(c,c,c),
inference(rewrite,[status(thm)],[clause_7]),
[] ).
fof(clause_9,plain,
! [A,B,C] :
( ~ s(A)
| ~ s(B)
| ~ s(C)
| m(A,B,C)
| n(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-4.tptp',unknown),
[] ).
cnf(157051504,plain,
( ~ s(A)
| ~ s(B)
| ~ s(C)
| m(A,B,C)
| n(A,B,C) ),
inference(rewrite,[status(thm)],[clause_9]),
[] ).
cnf(187259520,plain,
m(c,c,c),
inference(forward_subsumption_resolution__resolution,[status(thm)],[156992256,157031232,157051504]),
[] ).
fof(clause_1,plain,
! [A,B,C] :
( ~ p(A,B,C)
| ~ m(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-4.tptp',unknown),
[] ).
cnf(156996568,plain,
( ~ p(A,B,C)
| ~ m(A,B,C) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
fof(clause_8,plain,
! [A,B,C] :
( ~ s(A)
| ~ s(B)
| ~ s(C)
| p(A,B,C)
| q(A,B,C)
| r(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-4.tptp',unknown),
[] ).
cnf(157044808,plain,
( ~ s(A)
| ~ s(B)
| ~ s(C)
| p(A,B,C)
| q(A,B,C)
| r(A,B,C) ),
inference(rewrite,[status(thm)],[clause_8]),
[] ).
cnf(189952552,plain,
( ~ m(A,B,C)
| ~ s(A)
| ~ s(B)
| ~ s(C)
| q(A,B,C)
| r(A,B,C) ),
inference(resolution,[status(thm)],[156996568,157044808]),
[] ).
fof(clause_2,plain,
! [A,B,C] :
( ~ q(A,B,C)
| ~ m(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-4.tptp',unknown),
[] ).
cnf(157003392,plain,
( ~ q(A,B,C)
| ~ m(A,B,C) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
cnf(188366856,plain,
~ q(c,c,c),
inference(resolution,[status(thm)],[157003392,187259520]),
[] ).
cnf(191155184,plain,
r(c,c,c),
inference(forward_subsumption_resolution__resolution,[status(thm)],[187259520,156992256,189952552,188366856]),
[] ).
fof(clause_3,plain,
! [A,B,C] :
( ~ r(A,B,C)
| ~ m(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-4.tptp',unknown),
[] ).
cnf(157010008,plain,
( ~ r(A,B,C)
| ~ m(A,B,C) ),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
cnf(188379000,plain,
~ r(c,c,c),
inference(resolution,[status(thm)],[157010008,187259520]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[191155184,188379000]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(clause_6,plain,(s(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-4.tptp',unknown),[]).
%
% cnf(156992256,plain,(s(c)),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% fof(clause_7,plain,(~n(c,c,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-4.tptp',unknown),[]).
%
% cnf(157031232,plain,(~n(c,c,c)),inference(rewrite,[status(thm)],[clause_7]),[]).
%
% fof(clause_9,plain,(~s(A)|~s(B)|~s(C)|m(A,B,C)|n(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-4.tptp',unknown),[]).
%
% cnf(157051504,plain,(~s(A)|~s(B)|~s(C)|m(A,B,C)|n(A,B,C)),inference(rewrite,[status(thm)],[clause_9]),[]).
%
% cnf(187259520,plain,(m(c,c,c)),inference(forward_subsumption_resolution__resolution,[status(thm)],[156992256,157031232,157051504]),[]).
%
% fof(clause_1,plain,(~p(A,B,C)|~m(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-4.tptp',unknown),[]).
%
% cnf(156996568,plain,(~p(A,B,C)|~m(A,B,C)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% fof(clause_8,plain,(~s(A)|~s(B)|~s(C)|p(A,B,C)|q(A,B,C)|r(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-4.tptp',unknown),[]).
%
% cnf(157044808,plain,(~s(A)|~s(B)|~s(C)|p(A,B,C)|q(A,B,C)|r(A,B,C)),inference(rewrite,[status(thm)],[clause_8]),[]).
%
% cnf(189952552,plain,(~m(A,B,C)|~s(A)|~s(B)|~s(C)|q(A,B,C)|r(A,B,C)),inference(resolution,[status(thm)],[156996568,157044808]),[]).
%
% fof(clause_2,plain,(~q(A,B,C)|~m(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-4.tptp',unknown),[]).
%
% cnf(157003392,plain,(~q(A,B,C)|~m(A,B,C)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% cnf(188366856,plain,(~q(c,c,c)),inference(resolution,[status(thm)],[157003392,187259520]),[]).
%
% cnf(191155184,plain,(r(c,c,c)),inference(forward_subsumption_resolution__resolution,[status(thm)],[187259520,156992256,189952552,188366856]),[]).
%
% fof(clause_3,plain,(~r(A,B,C)|~m(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-4.tptp',unknown),[]).
%
% cnf(157010008,plain,(~r(A,B,C)|~m(A,B,C)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% cnf(188379000,plain,(~r(c,c,c)),inference(resolution,[status(thm)],[157010008,187259520]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[191155184,188379000]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------