TSTP Solution File: SYN328-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN328-1 : TPTP v3.4.2. Released v1.2.0.
% 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 17:49:35 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 4 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 67 ( 27 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 35 ( 3 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause3,plain,
! [A] :
( ~ g(y(A))
| f(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),
[] ).
cnf(146999320,plain,
( ~ g(y(A))
| f(A) ),
inference(rewrite,[status(thm)],[clause3]),
[] ).
fof(clause5,plain,
! [A] :
( f(y(A))
| g(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),
[] ).
cnf(147010664,plain,
( f(y(A))
| g(A) ),
inference(rewrite,[status(thm)],[clause5]),
[] ).
cnf(181043848,plain,
( f(A)
| f(y(y(A))) ),
inference(resolution,[status(thm)],[146999320,147010664]),
[] ).
fof(clause1,plain,
! [A] :
( ~ f(y(A))
| g(y(A))
| ~ f(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),
[] ).
cnf(146986456,plain,
( ~ f(y(A))
| g(y(A))
| ~ f(A) ),
inference(rewrite,[status(thm)],[clause1]),
[] ).
fof(clause2,plain,
! [A] :
( f(y(A))
| f(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),
[] ).
cnf(146993072,plain,
( f(y(A))
| f(A) ),
inference(rewrite,[status(thm)],[clause2]),
[] ).
cnf(181591592,plain,
( g(y(y(A)))
| f(A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181043848,146986456,146993072]),
[] ).
fof(clause9,plain,
! [A] :
( ~ f(y(A))
| g(y(A))
| h(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),
[] ).
cnf(147038696,plain,
( ~ f(y(A))
| g(y(A))
| h(A) ),
inference(rewrite,[status(thm)],[clause9]),
[] ).
cnf(181253720,plain,
( h(A)
| f(A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[146993072,147038696,146999320]),
[] ).
fof(clause6,plain,
! [A] :
( ~ h(y(A))
| g(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),
[] ).
cnf(147016816,plain,
( ~ h(y(A))
| g(A) ),
inference(rewrite,[status(thm)],[clause6]),
[] ).
cnf(181057368,plain,
( ~ h(y(y(A)))
| f(A) ),
inference(resolution,[status(thm)],[147016816,146999320]),
[] ).
fof(clause10,plain,
! [A] :
( ~ h(y(A))
| h(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),
[] ).
cnf(147043240,plain,
( ~ h(y(A))
| h(A) ),
inference(rewrite,[status(thm)],[clause10]),
[] ).
cnf(181086552,plain,
( f(A)
| ~ h(y(y(y(A)))) ),
inference(resolution,[status(thm)],[181057368,147043240]),
[] ).
cnf(181373624,plain,
( f(y(y(y(A))))
| f(A) ),
inference(resolution,[status(thm)],[181253720,181086552]),
[] ).
fof(clause4,plain,
! [A] :
( ~ f(y(A))
| h(y(A))
| ~ g(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),
[] ).
cnf(147005904,plain,
( ~ f(y(A))
| h(y(A))
| ~ g(A) ),
inference(rewrite,[status(thm)],[clause4]),
[] ).
cnf(181740480,plain,
f(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181591592,181373624,147005904,181086552]),
[] ).
cnf(181355472,plain,
( f(y(A))
| h(A) ),
inference(resolution,[status(thm)],[181253720,147043240]),
[] ).
cnf(181419832,plain,
( h(A)
| g(y(A)) ),
inference(resolution,[status(thm)],[181355472,147038696]),
[] ).
cnf(181426000,plain,
( g(y(y(A)))
| g(A) ),
inference(resolution,[status(thm)],[181419832,147016816]),
[] ).
cnf(181062864,plain,
( ~ h(y(y(A)))
| g(A) ),
inference(resolution,[status(thm)],[147043240,147016816]),
[] ).
cnf(181094432,plain,
( g(A)
| ~ h(y(y(y(A)))) ),
inference(resolution,[status(thm)],[181062864,147043240]),
[] ).
cnf(181378920,plain,
( f(y(y(y(A))))
| g(A) ),
inference(resolution,[status(thm)],[181253720,181094432]),
[] ).
cnf(181749056,plain,
g(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181426000,181378920,147005904,181094432]),
[] ).
fof(clause11,plain,
! [A] :
( ~ f(z(A))
| ~ g(z(A))
| ~ h(z(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),
[] ).
cnf(147050424,plain,
( ~ f(z(A))
| ~ g(z(A))
| ~ h(z(A)) ),
inference(rewrite,[status(thm)],[clause11]),
[] ).
cnf(181069696,plain,
( h(A)
| ~ h(y(y(A))) ),
inference(resolution,[status(thm)],[147043240,147043240]),
[] ).
cnf(181367528,plain,
( f(y(y(A)))
| h(A) ),
inference(resolution,[status(thm)],[181253720,181069696]),
[] ).
cnf(181729920,plain,
h(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181419832,181367528,147005904,181069696]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[181740480,181749056,147050424,181729920]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause3,plain,(~g(y(A))|f(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),[]).
%
% cnf(146999320,plain,(~g(y(A))|f(A)),inference(rewrite,[status(thm)],[clause3]),[]).
%
% fof(clause5,plain,(f(y(A))|g(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),[]).
%
% cnf(147010664,plain,(f(y(A))|g(A)),inference(rewrite,[status(thm)],[clause5]),[]).
%
% cnf(181043848,plain,(f(A)|f(y(y(A)))),inference(resolution,[status(thm)],[146999320,147010664]),[]).
%
% fof(clause1,plain,(~f(y(A))|g(y(A))|~f(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),[]).
%
% cnf(146986456,plain,(~f(y(A))|g(y(A))|~f(A)),inference(rewrite,[status(thm)],[clause1]),[]).
%
% fof(clause2,plain,(f(y(A))|f(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),[]).
%
% cnf(146993072,plain,(f(y(A))|f(A)),inference(rewrite,[status(thm)],[clause2]),[]).
%
% cnf(181591592,plain,(g(y(y(A)))|f(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[181043848,146986456,146993072]),[]).
%
% fof(clause9,plain,(~f(y(A))|g(y(A))|h(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),[]).
%
% cnf(147038696,plain,(~f(y(A))|g(y(A))|h(A)),inference(rewrite,[status(thm)],[clause9]),[]).
%
% cnf(181253720,plain,(h(A)|f(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[146993072,147038696,146999320]),[]).
%
% fof(clause6,plain,(~h(y(A))|g(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),[]).
%
% cnf(147016816,plain,(~h(y(A))|g(A)),inference(rewrite,[status(thm)],[clause6]),[]).
%
% cnf(181057368,plain,(~h(y(y(A)))|f(A)),inference(resolution,[status(thm)],[147016816,146999320]),[]).
%
% fof(clause10,plain,(~h(y(A))|h(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),[]).
%
% cnf(147043240,plain,(~h(y(A))|h(A)),inference(rewrite,[status(thm)],[clause10]),[]).
%
% cnf(181086552,plain,(f(A)|~h(y(y(y(A))))),inference(resolution,[status(thm)],[181057368,147043240]),[]).
%
% cnf(181373624,plain,(f(y(y(y(A))))|f(A)),inference(resolution,[status(thm)],[181253720,181086552]),[]).
%
% fof(clause4,plain,(~f(y(A))|h(y(A))|~g(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),[]).
%
% cnf(147005904,plain,(~f(y(A))|h(y(A))|~g(A)),inference(rewrite,[status(thm)],[clause4]),[]).
%
% cnf(181740480,plain,(f(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[181591592,181373624,147005904,181086552]),[]).
%
% cnf(181355472,plain,(f(y(A))|h(A)),inference(resolution,[status(thm)],[181253720,147043240]),[]).
%
% cnf(181419832,plain,(h(A)|g(y(A))),inference(resolution,[status(thm)],[181355472,147038696]),[]).
%
% cnf(181426000,plain,(g(y(y(A)))|g(A)),inference(resolution,[status(thm)],[181419832,147016816]),[]).
%
% cnf(181062864,plain,(~h(y(y(A)))|g(A)),inference(resolution,[status(thm)],[147043240,147016816]),[]).
%
% cnf(181094432,plain,(g(A)|~h(y(y(y(A))))),inference(resolution,[status(thm)],[181062864,147043240]),[]).
%
% cnf(181378920,plain,(f(y(y(y(A))))|g(A)),inference(resolution,[status(thm)],[181253720,181094432]),[]).
%
% cnf(181749056,plain,(g(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[181426000,181378920,147005904,181094432]),[]).
%
% fof(clause11,plain,(~f(z(A))|~g(z(A))|~h(z(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN328-1.tptp',unknown),[]).
%
% cnf(147050424,plain,(~f(z(A))|~g(z(A))|~h(z(A))),inference(rewrite,[status(thm)],[clause11]),[]).
%
% cnf(181069696,plain,(h(A)|~h(y(y(A)))),inference(resolution,[status(thm)],[147043240,147043240]),[]).
%
% cnf(181367528,plain,(f(y(y(A)))|h(A)),inference(resolution,[status(thm)],[181253720,181069696]),[]).
%
% cnf(181729920,plain,(h(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[181419832,181367528,147005904,181069696]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[181740480,181749056,147050424,181729920]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------