TSTP Solution File: SYN554-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN554-1 : 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 18:15:25 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(p2_4,plain,
p2(f3(c5,c6),f3(c5,c7)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN554-1.tptp',unknown),
[] ).
cnf(162243456,plain,
p2(f3(c5,c6),f3(c5,c7)),
inference(rewrite,[status(thm)],[p2_4]),
[] ).
fof(p4_8,plain,
! [A,B,C,D] :
( p4(A,B)
| ~ p2(C,B)
| ~ p4(D,C)
| ~ p2(D,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN554-1.tptp',unknown),
[] ).
cnf(162280864,plain,
( p4(A,B)
| ~ p2(C,B)
| ~ p4(D,C)
| ~ p2(D,A) ),
inference(rewrite,[status(thm)],[p4_8]),
[] ).
fof(not_p4_2,plain,
! [A] : ~ p4(A,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN554-1.tptp',unknown),
[] ).
cnf(162234688,plain,
~ p4(A,A),
inference(rewrite,[status(thm)],[not_p4_2]),
[] ).
cnf(191070208,plain,
( ~ p2(B,A)
| ~ p4(C,B)
| ~ p2(C,A) ),
inference(resolution,[status(thm)],[162280864,162234688]),
[] ).
fof(p2_1,plain,
! [A] : p2(A,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN554-1.tptp',unknown),
[] ).
cnf(162229944,plain,
p2(A,A),
inference(rewrite,[status(thm)],[p2_1]),
[] ).
cnf(191076448,plain,
( ~ p4(B,A)
| ~ p2(B,A) ),
inference(resolution,[status(thm)],[191070208,162229944]),
[] ).
fof(p4_7,plain,
! [A,B] :
( p4(f3(c5,A),f3(c5,B))
| ~ p4(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN554-1.tptp',unknown),
[] ).
cnf(162271736,plain,
( p4(f3(c5,A),f3(c5,B))
| ~ p4(A,B) ),
inference(rewrite,[status(thm)],[p4_7]),
[] ).
fof(not_p2_3,plain,
~ p2(c6,c7),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN554-1.tptp',unknown),
[] ).
cnf(162239448,plain,
~ p2(c6,c7),
inference(rewrite,[status(thm)],[not_p2_3]),
[] ).
fof(p2_5,plain,
! [A,B] :
( p2(A,B)
| p4(A,B)
| p4(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN554-1.tptp',unknown),
[] ).
cnf(162250664,plain,
( p2(A,B)
| p4(A,B)
| p4(B,A) ),
inference(rewrite,[status(thm)],[p2_5]),
[] ).
cnf(191169328,plain,
( p4(c6,c7)
| p4(c7,c6) ),
inference(resolution,[status(thm)],[162239448,162250664]),
[] ).
cnf(191408432,plain,
( p4(f3(c5,c6),f3(c5,c7))
| p4(c7,c6) ),
inference(resolution,[status(thm)],[162271736,191169328]),
[] ).
cnf(193673304,plain,
p4(c7,c6),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162243456,191076448,191408432]),
[] ).
cnf(191084376,plain,
( ~ p2(B,A)
| ~ p4(A,B) ),
inference(resolution,[status(thm)],[191070208,162229944]),
[] ).
cnf(191142832,plain,
~ p4(f3(c5,c7),f3(c5,c6)),
inference(resolution,[status(thm)],[191084376,162243456]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[193673304,191142832,162271736]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(p2_4,plain,(p2(f3(c5,c6),f3(c5,c7))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN554-1.tptp',unknown),[]).
%
% cnf(162243456,plain,(p2(f3(c5,c6),f3(c5,c7))),inference(rewrite,[status(thm)],[p2_4]),[]).
%
% fof(p4_8,plain,(p4(A,B)|~p2(C,B)|~p4(D,C)|~p2(D,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN554-1.tptp',unknown),[]).
%
% cnf(162280864,plain,(p4(A,B)|~p2(C,B)|~p4(D,C)|~p2(D,A)),inference(rewrite,[status(thm)],[p4_8]),[]).
%
% fof(not_p4_2,plain,(~p4(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN554-1.tptp',unknown),[]).
%
% cnf(162234688,plain,(~p4(A,A)),inference(rewrite,[status(thm)],[not_p4_2]),[]).
%
% cnf(191070208,plain,(~p2(B,A)|~p4(C,B)|~p2(C,A)),inference(resolution,[status(thm)],[162280864,162234688]),[]).
%
% fof(p2_1,plain,(p2(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN554-1.tptp',unknown),[]).
%
% cnf(162229944,plain,(p2(A,A)),inference(rewrite,[status(thm)],[p2_1]),[]).
%
% cnf(191076448,plain,(~p4(B,A)|~p2(B,A)),inference(resolution,[status(thm)],[191070208,162229944]),[]).
%
% fof(p4_7,plain,(p4(f3(c5,A),f3(c5,B))|~p4(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN554-1.tptp',unknown),[]).
%
% cnf(162271736,plain,(p4(f3(c5,A),f3(c5,B))|~p4(A,B)),inference(rewrite,[status(thm)],[p4_7]),[]).
%
% fof(not_p2_3,plain,(~p2(c6,c7)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN554-1.tptp',unknown),[]).
%
% cnf(162239448,plain,(~p2(c6,c7)),inference(rewrite,[status(thm)],[not_p2_3]),[]).
%
% fof(p2_5,plain,(p2(A,B)|p4(A,B)|p4(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN554-1.tptp',unknown),[]).
%
% cnf(162250664,plain,(p2(A,B)|p4(A,B)|p4(B,A)),inference(rewrite,[status(thm)],[p2_5]),[]).
%
% cnf(191169328,plain,(p4(c6,c7)|p4(c7,c6)),inference(resolution,[status(thm)],[162239448,162250664]),[]).
%
% cnf(191408432,plain,(p4(f3(c5,c6),f3(c5,c7))|p4(c7,c6)),inference(resolution,[status(thm)],[162271736,191169328]),[]).
%
% cnf(193673304,plain,(p4(c7,c6)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162243456,191076448,191408432]),[]).
%
% cnf(191084376,plain,(~p2(B,A)|~p4(A,B)),inference(resolution,[status(thm)],[191070208,162229944]),[]).
%
% cnf(191142832,plain,(~p4(f3(c5,c7),f3(c5,c6))),inference(resolution,[status(thm)],[191084376,162243456]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[193673304,191142832,162271736]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------