TSTP Solution File: SYN312-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN312-1 : TPTP v3.4.2. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 17:48:38 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 19 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 25 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 33 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause3,plain,
! [A,B,C] :
( p(A,B,C)
| ~ p(B,A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),
[] ).
cnf(152578760,plain,
( p(A,B,C)
| ~ p(B,A,C) ),
inference(rewrite,[status(thm)],[clause3]),
[] ).
fof(clause1,plain,
! [A,B,C,D] :
( p(A,B,C)
| ~ p(A,D,C)
| ~ p(D,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),
[] ).
cnf(152570608,plain,
( p(A,B,C)
| ~ p(A,D,C)
| ~ p(D,B,C) ),
inference(rewrite,[status(thm)],[clause1]),
[] ).
fof(clause7,plain,
p(f(b),d,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),
[] ).
cnf(152601160,plain,
p(f(b),d,c),
inference(rewrite,[status(thm)],[clause7]),
[] ).
cnf(178902600,plain,
( p(A,d,c)
| ~ p(A,f(b),c) ),
inference(resolution,[status(thm)],[152570608,152601160]),
[] ).
fof(clause6,plain,
p(a,f(b),c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),
[] ).
cnf(152593080,plain,
p(a,f(b),c),
inference(rewrite,[status(thm)],[clause6]),
[] ).
cnf(178918376,plain,
p(a,d,c),
inference(resolution,[status(thm)],[178902600,152593080]),
[] ).
cnf(178939536,plain,
p(d,a,c),
inference(resolution,[status(thm)],[152578760,178918376]),
[] ).
fof(clause5,plain,
! [A,B,C] :
( p(g(A),B,C)
| ~ p(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),
[] ).
cnf(152589456,plain,
( p(g(A),B,C)
| ~ p(A,B,C) ),
inference(rewrite,[status(thm)],[clause5]),
[] ).
fof(clause2,plain,
! [A,B,C] :
( p(A,B,C)
| ~ p(C,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),
[] ).
cnf(152574816,plain,
( p(A,B,C)
| ~ p(C,B,A) ),
inference(rewrite,[status(thm)],[clause2]),
[] ).
fof(clause4,plain,
! [A,B,C] :
( p(A,B,f(C))
| ~ p(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),
[] ).
cnf(152584008,plain,
( p(A,B,f(C))
| ~ p(A,B,C) ),
inference(rewrite,[status(thm)],[clause4]),
[] ).
fof(clause8,plain,
~ p(f(g(a)),f(g(d)),f(g(c))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),
[] ).
cnf(152605864,plain,
~ p(f(g(a)),f(g(d)),f(g(c))),
inference(rewrite,[status(thm)],[clause8]),
[] ).
cnf(182520752,plain,
~ p(f(g(a)),f(g(d)),g(c)),
inference(resolution,[status(thm)],[152605864,152584008]),
[] ).
cnf(192556080,plain,
~ p(g(c),f(g(d)),f(g(a))),
inference(resolution,[status(thm)],[152574816,182520752]),
[] ).
cnf(192812232,plain,
~ p(g(c),f(g(d)),g(a)),
inference(resolution,[status(thm)],[152584008,192556080]),
[] ).
cnf(192887008,plain,
~ p(c,f(g(d)),g(a)),
inference(resolution,[status(thm)],[152589456,192812232]),
[] ).
cnf(192924832,plain,
~ p(g(a),f(g(d)),c),
inference(resolution,[status(thm)],[152574816,192887008]),
[] ).
cnf(192985928,plain,
~ p(a,f(g(d)),c),
inference(resolution,[status(thm)],[152589456,192924832]),
[] ).
cnf(193035408,plain,
~ p(f(g(d)),a,c),
inference(resolution,[status(thm)],[152578760,192985928]),
[] ).
cnf(193090096,plain,
~ p(c,a,f(g(d))),
inference(resolution,[status(thm)],[152574816,193035408]),
[] ).
cnf(193163408,plain,
~ p(c,a,g(d)),
inference(resolution,[status(thm)],[152584008,193090096]),
[] ).
cnf(193199496,plain,
~ p(g(d),a,c),
inference(resolution,[status(thm)],[152574816,193163408]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[178939536,152589456,193199496]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause3,plain,(p(A,B,C)|~p(B,A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),[]).
%
% cnf(152578760,plain,(p(A,B,C)|~p(B,A,C)),inference(rewrite,[status(thm)],[clause3]),[]).
%
% fof(clause1,plain,(p(A,B,C)|~p(A,D,C)|~p(D,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),[]).
%
% cnf(152570608,plain,(p(A,B,C)|~p(A,D,C)|~p(D,B,C)),inference(rewrite,[status(thm)],[clause1]),[]).
%
% fof(clause7,plain,(p(f(b),d,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),[]).
%
% cnf(152601160,plain,(p(f(b),d,c)),inference(rewrite,[status(thm)],[clause7]),[]).
%
% cnf(178902600,plain,(p(A,d,c)|~p(A,f(b),c)),inference(resolution,[status(thm)],[152570608,152601160]),[]).
%
% fof(clause6,plain,(p(a,f(b),c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),[]).
%
% cnf(152593080,plain,(p(a,f(b),c)),inference(rewrite,[status(thm)],[clause6]),[]).
%
% cnf(178918376,plain,(p(a,d,c)),inference(resolution,[status(thm)],[178902600,152593080]),[]).
%
% cnf(178939536,plain,(p(d,a,c)),inference(resolution,[status(thm)],[152578760,178918376]),[]).
%
% fof(clause5,plain,(p(g(A),B,C)|~p(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),[]).
%
% cnf(152589456,plain,(p(g(A),B,C)|~p(A,B,C)),inference(rewrite,[status(thm)],[clause5]),[]).
%
% fof(clause2,plain,(p(A,B,C)|~p(C,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),[]).
%
% cnf(152574816,plain,(p(A,B,C)|~p(C,B,A)),inference(rewrite,[status(thm)],[clause2]),[]).
%
% fof(clause4,plain,(p(A,B,f(C))|~p(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),[]).
%
% cnf(152584008,plain,(p(A,B,f(C))|~p(A,B,C)),inference(rewrite,[status(thm)],[clause4]),[]).
%
% fof(clause8,plain,(~p(f(g(a)),f(g(d)),f(g(c)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN312-1.tptp',unknown),[]).
%
% cnf(152605864,plain,(~p(f(g(a)),f(g(d)),f(g(c)))),inference(rewrite,[status(thm)],[clause8]),[]).
%
% cnf(182520752,plain,(~p(f(g(a)),f(g(d)),g(c))),inference(resolution,[status(thm)],[152605864,152584008]),[]).
%
% cnf(192556080,plain,(~p(g(c),f(g(d)),f(g(a)))),inference(resolution,[status(thm)],[152574816,182520752]),[]).
%
% cnf(192812232,plain,(~p(g(c),f(g(d)),g(a))),inference(resolution,[status(thm)],[152584008,192556080]),[]).
%
% cnf(192887008,plain,(~p(c,f(g(d)),g(a))),inference(resolution,[status(thm)],[152589456,192812232]),[]).
%
% cnf(192924832,plain,(~p(g(a),f(g(d)),c)),inference(resolution,[status(thm)],[152574816,192887008]),[]).
%
% cnf(192985928,plain,(~p(a,f(g(d)),c)),inference(resolution,[status(thm)],[152589456,192924832]),[]).
%
% cnf(193035408,plain,(~p(f(g(d)),a,c)),inference(resolution,[status(thm)],[152578760,192985928]),[]).
%
% cnf(193090096,plain,(~p(c,a,f(g(d)))),inference(resolution,[status(thm)],[152574816,193035408]),[]).
%
% cnf(193163408,plain,(~p(c,a,g(d))),inference(resolution,[status(thm)],[152584008,193090096]),[]).
%
% cnf(193199496,plain,(~p(g(d),a,c)),inference(resolution,[status(thm)],[152574816,193163408]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[178939536,152589456,193199496]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------