TSTP Solution File: SYN009-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN009-2 : TPTP v3.4.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 16:37:40 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 38 ( 21 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_2,plain,
! [A,B,C] :
( ~ q(A,B,C)
| ~ t(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-2.tptp',unknown),
[] ).
cnf(157652504,plain,
( ~ q(A,B,C)
| ~ t(B,C,A) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
fof(clause_7,plain,
t(c,c,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-2.tptp',unknown),
[] ).
cnf(157680216,plain,
t(c,c,c),
inference(rewrite,[status(thm)],[clause_7]),
[] ).
cnf(184514320,plain,
~ q(c,c,c),
inference(resolution,[status(thm)],[157652504,157680216]),
[] ).
fof(clause_6,plain,
s(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-2.tptp',unknown),
[] ).
cnf(157675712,plain,
s(c),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
fof(clause_8,plain,
! [A,B,C] :
( ~ s(A)
| ~ s(B)
| ~ s(C)
| p(A,B,C)
| q(B,C,A)
| r(C,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-2.tptp',unknown),
[] ).
cnf(157693640,plain,
( ~ s(A)
| ~ s(B)
| ~ s(C)
| p(A,B,C)
| q(B,C,A)
| r(C,A,B) ),
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/SYN009-2.tptp',unknown),
[] ).
cnf(157645744,plain,
( ~ p(A,B,C)
| ~ t(A,B,C) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
cnf(184498184,plain,
~ p(c,c,c),
inference(resolution,[status(thm)],[157645744,157680216]),
[] ).
cnf(184537752,plain,
( q(c,c,c)
| r(c,c,c) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[157675712,157693640,184498184]),
[] ).
fof(clause_3,plain,
! [A,B,C] :
( ~ r(A,B,C)
| ~ t(C,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-2.tptp',unknown),
[] ).
cnf(157659120,plain,
( ~ r(A,B,C)
| ~ t(C,A,B) ),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
cnf(184526368,plain,
~ r(c,c,c),
inference(resolution,[status(thm)],[157659120,157680216]),
[] ).
cnf(184543392,plain,
q(c,c,c),
inference(resolution,[status(thm)],[184537752,184526368]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[184514320,184543392]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(clause_2,plain,(~q(A,B,C)|~t(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-2.tptp',unknown),[]).
%
% cnf(157652504,plain,(~q(A,B,C)|~t(B,C,A)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% fof(clause_7,plain,(t(c,c,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-2.tptp',unknown),[]).
%
% cnf(157680216,plain,(t(c,c,c)),inference(rewrite,[status(thm)],[clause_7]),[]).
%
% cnf(184514320,plain,(~q(c,c,c)),inference(resolution,[status(thm)],[157652504,157680216]),[]).
%
% fof(clause_6,plain,(s(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-2.tptp',unknown),[]).
%
% cnf(157675712,plain,(s(c)),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% fof(clause_8,plain,(~s(A)|~s(B)|~s(C)|p(A,B,C)|q(B,C,A)|r(C,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-2.tptp',unknown),[]).
%
% cnf(157693640,plain,(~s(A)|~s(B)|~s(C)|p(A,B,C)|q(B,C,A)|r(C,A,B)),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/SYN009-2.tptp',unknown),[]).
%
% cnf(157645744,plain,(~p(A,B,C)|~t(A,B,C)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% cnf(184498184,plain,(~p(c,c,c)),inference(resolution,[status(thm)],[157645744,157680216]),[]).
%
% cnf(184537752,plain,(q(c,c,c)|r(c,c,c)),inference(forward_subsumption_resolution__resolution,[status(thm)],[157675712,157693640,184498184]),[]).
%
% fof(clause_3,plain,(~r(A,B,C)|~t(C,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN009-2.tptp',unknown),[]).
%
% cnf(157659120,plain,(~r(A,B,C)|~t(C,A,B)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% cnf(184526368,plain,(~r(c,c,c)),inference(resolution,[status(thm)],[157659120,157680216]),[]).
%
% cnf(184543392,plain,(q(c,c,c)),inference(resolution,[status(thm)],[184537752,184526368]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[184514320,184543392]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------