TSTP Solution File: SYN326-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN326-1 : TPTP v3.4.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 17:49:26 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 11 ( 3 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause5,plain,
! [A] :
( ~ g(A)
| h(z(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),
[] ).
cnf(146171904,plain,
( ~ g(A)
| h(z(A)) ),
inference(rewrite,[status(thm)],[clause5]),
[] ).
fof(clause2,plain,
! [A] :
( g(y(A))
| f(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),
[] ).
cnf(146153720,plain,
( g(y(A))
| f(A,A) ),
inference(rewrite,[status(thm)],[clause2]),
[] ).
fof(clause7,plain,
! [A] : ~ f(z(A),z(A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),
[] ).
cnf(146184608,plain,
~ f(z(A),z(A)),
inference(rewrite,[status(thm)],[clause7]),
[] ).
cnf(169684256,plain,
g(y(z(A))),
inference(resolution,[status(thm)],[146153720,146184608]),
[] ).
cnf(169719832,plain,
h(z(y(z(A)))),
inference(resolution,[status(thm)],[146171904,169684256]),
[] ).
fof(clause3,plain,
! [A] :
( ~ h(A)
| f(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),
[] ).
cnf(146160112,plain,
( ~ h(A)
| f(A,A) ),
inference(rewrite,[status(thm)],[clause3]),
[] ).
cnf(169692816,plain,
~ h(z(A)),
inference(resolution,[status(thm)],[146160112,146184608]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[169719832,169692816]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause5,plain,(~g(A)|h(z(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),[]).
%
% cnf(146171904,plain,(~g(A)|h(z(A))),inference(rewrite,[status(thm)],[clause5]),[]).
%
% fof(clause2,plain,(g(y(A))|f(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),[]).
%
% cnf(146153720,plain,(g(y(A))|f(A,A)),inference(rewrite,[status(thm)],[clause2]),[]).
%
% fof(clause7,plain,(~f(z(A),z(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),[]).
%
% cnf(146184608,plain,(~f(z(A),z(A))),inference(rewrite,[status(thm)],[clause7]),[]).
%
% cnf(169684256,plain,(g(y(z(A)))),inference(resolution,[status(thm)],[146153720,146184608]),[]).
%
% cnf(169719832,plain,(h(z(y(z(A))))),inference(resolution,[status(thm)],[146171904,169684256]),[]).
%
% fof(clause3,plain,(~h(A)|f(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326-1.tptp',unknown),[]).
%
% cnf(146160112,plain,(~h(A)|f(A,A)),inference(rewrite,[status(thm)],[clause3]),[]).
%
% cnf(169692816,plain,(~h(z(A))),inference(resolution,[status(thm)],[146160112,146184608]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[169719832,169692816]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------