%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN009-3 : TPTP v3.4.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 16:37:42 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 68 ( 35 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 47 ( 3 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_10,plain,
! [A,B,C] :
( ~ u(A,B,C)
| t(A,B,C)
| v(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-3.tptp',unknown),
[] ).
cnf(141286264,plain,
( ~ u(A,B,C)
| t(A,B,C)
| v(A,B,C) ),
inference(rewrite,[status(thm)],[clause_10]),
[] ).
fof(clause_7,plain,
! [A,B,C] : ~ v(A,B,C),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-3.tptp',unknown),
[] ).
cnf(141255544,plain,
~ v(A,B,C),
inference(rewrite,[status(thm)],[clause_7]),
[] ).
cnf(173657272,plain,
( ~ u(A,B,C)
| t(A,B,C) ),
inference(resolution,[status(thm)],[141286264,141255544]),
[] ).
fof(clause_6,plain,
s(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-3.tptp',unknown),
[] ).
cnf(141251000,plain,
s(c),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
fof(clause_8,plain,
u(c,c,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-3.tptp',unknown),
[] ).
cnf(141260408,plain,
u(c,c,c),
inference(rewrite,[status(thm)],[clause_8]),
[] ).
fof(clause_1,plain,
! [A,B,C] :
( ~ p(A,B,C)
| ~ t(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-3.tptp',unknown),
[] ).
cnf(141220520,plain,
( ~ p(A,B,C)
| ~ t(A,B,C) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
fof(clause_9,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/SYN009-3.tptp',unknown),
[] ).
cnf(141273896,plain,
( ~ s(A)
| ~ s(B)
| ~ s(C)
| p(A,B,C)
| q(A,B,C)
| r(A,B,C) ),
inference(rewrite,[status(thm)],[clause_9]),
[] ).
cnf(173878960,plain,
( ~ t(A,B,C)
| ~ s(A)
| ~ s(B)
| ~ s(C)
| q(A,B,C)
| r(A,B,C) ),
inference(resolution,[status(thm)],[141220520,141273896]),
[] ).
cnf(174190936,plain,
( ~ t(c,A,c)
| ~ s(A)
| q(c,A,c)
| r(c,A,c) ),
inference(resolution,[status(thm)],[173878960,141251000]),
[] ).
fof(clause_2,plain,
! [A,B,C] :
( ~ q(A,B,C)
| ~ t(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-3.tptp',unknown),
[] ).
cnf(141227408,plain,
( ~ q(A,B,C)
| ~ t(A,B,C) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
cnf(173725344,plain,
( ~ q(A,B,C)
| ~ u(A,B,C) ),
inference(resolution,[status(thm)],[141227408,173657272]),
[] ).
cnf(175116520,plain,
( ~ t(c,A,c)
| ~ s(A)
| r(c,A,c)
| ~ u(c,A,c) ),
inference(resolution,[status(thm)],[174190936,173725344]),
[] ).
fof(clause_3,plain,
! [A,B,C] :
( ~ r(A,B,C)
| ~ t(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-3.tptp',unknown),
[] ).
cnf(141234152,plain,
( ~ r(A,B,C)
| ~ t(A,B,C) ),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
cnf(173661992,plain,
t(c,c,c),
inference(resolution,[status(thm)],[173657272,141260408]),
[] ).
cnf(173702336,plain,
~ r(c,c,c),
inference(resolution,[status(thm)],[141234152,173661992]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[173657272,141251000,141260408,175116520,173702336]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_10,plain,(~u(A,B,C)|t(A,B,C)|v(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-3.tptp',unknown),[]).
%
% cnf(141286264,plain,(~u(A,B,C)|t(A,B,C)|v(A,B,C)),inference(rewrite,[status(thm)],[clause_10]),[]).
%
% fof(clause_7,plain,(~v(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-3.tptp',unknown),[]).
%
% cnf(141255544,plain,(~v(A,B,C)),inference(rewrite,[status(thm)],[clause_7]),[]).
%
% cnf(173657272,plain,(~u(A,B,C)|t(A,B,C)),inference(resolution,[status(thm)],[141286264,141255544]),[]).
%
% fof(clause_6,plain,(s(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-3.tptp',unknown),[]).
%
% cnf(141251000,plain,(s(c)),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% fof(clause_8,plain,(u(c,c,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-3.tptp',unknown),[]).
%
% cnf(141260408,plain,(u(c,c,c)),inference(rewrite,[status(thm)],[clause_8]),[]).
%
% fof(clause_1,plain,(~p(A,B,C)|~t(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-3.tptp',unknown),[]).
%
% cnf(141220520,plain,(~p(A,B,C)|~t(A,B,C)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% fof(clause_9,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/SYN009-3.tptp',unknown),[]).
%
% cnf(141273896,plain,(~s(A)|~s(B)|~s(C)|p(A,B,C)|q(A,B,C)|r(A,B,C)),inference(rewrite,[status(thm)],[clause_9]),[]).
%
% cnf(173878960,plain,(~t(A,B,C)|~s(A)|~s(B)|~s(C)|q(A,B,C)|r(A,B,C)),inference(resolution,[status(thm)],[141220520,141273896]),[]).
%
% cnf(174190936,plain,(~t(c,A,c)|~s(A)|q(c,A,c)|r(c,A,c)),inference(resolution,[status(thm)],[173878960,141251000]),[]).
%
% fof(clause_2,plain,(~q(A,B,C)|~t(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-3.tptp',unknown),[]).
%
% cnf(141227408,plain,(~q(A,B,C)|~t(A,B,C)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% cnf(173725344,plain,(~q(A,B,C)|~u(A,B,C)),inference(resolution,[status(thm)],[141227408,173657272]),[]).
%
% cnf(175116520,plain,(~t(c,A,c)|~s(A)|r(c,A,c)|~u(c,A,c)),inference(resolution,[status(thm)],[174190936,173725344]),[]).
%
% fof(clause_3,plain,(~r(A,B,C)|~t(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-3.tptp',unknown),[]).
%
% cnf(141234152,plain,(~r(A,B,C)|~t(A,B,C)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% cnf(173661992,plain,(t(c,c,c)),inference(resolution,[status(thm)],[173657272,141260408]),[]).
%
% cnf(173702336,plain,(~r(c,c,c)),inference(resolution,[status(thm)],[141234152,173661992]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[173657272,141251000,141260408,175116520,173702336]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------