TSTP Solution File: SYN345-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN345-1 : 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 17:50:33 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 4 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 72 ( 29 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 18 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause2,plain,
! [A,B] :
( ~ f(A,B,z(B,A))
| ~ f(a,a,b)
| f(a,b,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),
[] ).
cnf(169915392,plain,
( ~ f(A,B,z(B,A))
| ~ f(a,a,b)
| f(a,b,b) ),
inference(rewrite,[status(thm)],[clause2]),
[] ).
fof(clause1,plain,
! [A] :
( f(a,b,A)
| ~ f(a,a,b)
| f(a,b,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),
[] ).
cnf(169907224,plain,
( f(a,b,A)
| ~ f(a,a,b)
| f(a,b,b) ),
inference(rewrite,[status(thm)],[clause1]),
[] ).
cnf(196139488,plain,
( ~ f(a,a,b)
| f(a,b,b) ),
inference(resolution,[status(thm)],[169915392,169907224]),
[] ).
fof(clause5,plain,
! [A,B] :
( f(A,B,z(A,B))
| f(a,a,b)
| f(a,b,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),
[] ).
cnf(169937040,plain,
( f(A,B,z(A,B))
| f(a,a,b)
| f(a,b,b) ),
inference(rewrite,[status(thm)],[clause5]),
[] ).
cnf(196031904,plain,
( f(a,b,A)
| f(a,b,b)
| f(B,C,z(B,C)) ),
inference(resolution,[status(thm)],[169907224,169937040]),
[] ).
fof(clause7,plain,
! [A] :
( ~ f(b,b,A)
| f(a,a,b)
| f(a,b,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),
[] ).
cnf(169954480,plain,
( ~ f(b,b,A)
| f(a,a,b)
| f(a,b,b) ),
inference(rewrite,[status(thm)],[clause7]),
[] ).
cnf(196039552,plain,
( ~ f(b,b,A)
| f(a,b,b)
| f(a,b,B) ),
inference(resolution,[status(thm)],[169954480,169907224]),
[] ).
cnf(196086912,plain,
( f(a,b,A)
| f(a,b,b)
| f(a,b,B) ),
inference(resolution,[status(thm)],[196031904,196039552]),
[] ).
fof(clause3,plain,
! [A,B] :
( f(b,A,B)
| f(a,a,b)
| ~ f(a,b,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),
[] ).
cnf(169922752,plain,
( f(b,A,B)
| f(a,a,b)
| ~ f(a,b,b) ),
inference(rewrite,[status(thm)],[clause3]),
[] ).
cnf(196106552,plain,
( f(b,A,B)
| f(a,a,b) ),
inference(resolution,[status(thm)],[196086912,169922752]),
[] ).
cnf(196137640,plain,
( f(a,b,b)
| f(b,A,B) ),
inference(resolution,[status(thm)],[196139488,196106552]),
[] ).
cnf(196168680,plain,
( f(a,b,b)
| f(a,b,B) ),
inference(resolution,[status(thm)],[196137640,196039552]),
[] ).
fof(clause4,plain,
! [A,B] :
( ~ f(A,z(A,B),z(A,B))
| f(a,a,b)
| ~ f(a,b,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),
[] ).
cnf(169930056,plain,
( ~ f(A,z(A,B),z(A,B))
| f(a,a,b)
| ~ f(a,b,b) ),
inference(rewrite,[status(thm)],[clause4]),
[] ).
fof(clause6,plain,
! [A,B] :
( f(A,B,z(A,B))
| ~ f(a,a,b)
| ~ f(a,b,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),
[] ).
cnf(169947520,plain,
( f(A,B,z(A,B))
| ~ f(a,a,b)
| ~ f(a,b,b) ),
inference(rewrite,[status(thm)],[clause6]),
[] ).
fof(clause8,plain,
! [A] :
( ~ f(b,b,A)
| ~ f(a,a,b)
| ~ f(a,b,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),
[] ).
cnf(169960800,plain,
( ~ f(b,b,A)
| ~ f(a,a,b)
| ~ f(a,b,b) ),
inference(rewrite,[status(thm)],[clause8]),
[] ).
cnf(196196888,plain,
( ~ f(b,b,A)
| ~ f(a,a,b) ),
inference(resolution,[status(thm)],[169960800,196168680]),
[] ).
cnf(196302320,plain,
~ f(a,a,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[196139488,169947520,196196888]),
[] ).
cnf(196322296,plain,
f(b,A,B),
inference(resolution,[status(thm)],[196302320,196106552]),
[] ).
cnf(197115248,plain,
f(a,a,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[196168680,169930056,196322296]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[197115248,196302320]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause2,plain,(~f(A,B,z(B,A))|~f(a,a,b)|f(a,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),[]).
%
% cnf(169915392,plain,(~f(A,B,z(B,A))|~f(a,a,b)|f(a,b,b)),inference(rewrite,[status(thm)],[clause2]),[]).
%
% fof(clause1,plain,(f(a,b,A)|~f(a,a,b)|f(a,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),[]).
%
% cnf(169907224,plain,(f(a,b,A)|~f(a,a,b)|f(a,b,b)),inference(rewrite,[status(thm)],[clause1]),[]).
%
% cnf(196139488,plain,(~f(a,a,b)|f(a,b,b)),inference(resolution,[status(thm)],[169915392,169907224]),[]).
%
% fof(clause5,plain,(f(A,B,z(A,B))|f(a,a,b)|f(a,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),[]).
%
% cnf(169937040,plain,(f(A,B,z(A,B))|f(a,a,b)|f(a,b,b)),inference(rewrite,[status(thm)],[clause5]),[]).
%
% cnf(196031904,plain,(f(a,b,A)|f(a,b,b)|f(B,C,z(B,C))),inference(resolution,[status(thm)],[169907224,169937040]),[]).
%
% fof(clause7,plain,(~f(b,b,A)|f(a,a,b)|f(a,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),[]).
%
% cnf(169954480,plain,(~f(b,b,A)|f(a,a,b)|f(a,b,b)),inference(rewrite,[status(thm)],[clause7]),[]).
%
% cnf(196039552,plain,(~f(b,b,A)|f(a,b,b)|f(a,b,B)),inference(resolution,[status(thm)],[169954480,169907224]),[]).
%
% cnf(196086912,plain,(f(a,b,A)|f(a,b,b)|f(a,b,B)),inference(resolution,[status(thm)],[196031904,196039552]),[]).
%
% fof(clause3,plain,(f(b,A,B)|f(a,a,b)|~f(a,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),[]).
%
% cnf(169922752,plain,(f(b,A,B)|f(a,a,b)|~f(a,b,b)),inference(rewrite,[status(thm)],[clause3]),[]).
%
% cnf(196106552,plain,(f(b,A,B)|f(a,a,b)),inference(resolution,[status(thm)],[196086912,169922752]),[]).
%
% cnf(196137640,plain,(f(a,b,b)|f(b,A,B)),inference(resolution,[status(thm)],[196139488,196106552]),[]).
%
% cnf(196168680,plain,(f(a,b,b)|f(a,b,B)),inference(resolution,[status(thm)],[196137640,196039552]),[]).
%
% fof(clause4,plain,(~f(A,z(A,B),z(A,B))|f(a,a,b)|~f(a,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),[]).
%
% cnf(169930056,plain,(~f(A,z(A,B),z(A,B))|f(a,a,b)|~f(a,b,b)),inference(rewrite,[status(thm)],[clause4]),[]).
%
% fof(clause6,plain,(f(A,B,z(A,B))|~f(a,a,b)|~f(a,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),[]).
%
% cnf(169947520,plain,(f(A,B,z(A,B))|~f(a,a,b)|~f(a,b,b)),inference(rewrite,[status(thm)],[clause6]),[]).
%
% fof(clause8,plain,(~f(b,b,A)|~f(a,a,b)|~f(a,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN345-1.tptp',unknown),[]).
%
% cnf(169960800,plain,(~f(b,b,A)|~f(a,a,b)|~f(a,b,b)),inference(rewrite,[status(thm)],[clause8]),[]).
%
% cnf(196196888,plain,(~f(b,b,A)|~f(a,a,b)),inference(resolution,[status(thm)],[169960800,196168680]),[]).
%
% cnf(196302320,plain,(~f(a,a,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[196139488,169947520,196196888]),[]).
%
% cnf(196322296,plain,(f(b,A,B)),inference(resolution,[status(thm)],[196302320,196106552]),[]).
%
% cnf(197115248,plain,(f(a,a,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[196168680,169930056,196322296]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[197115248,196302320]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------