TSTP Solution File: SYN031-1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN031-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 16:38:06 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 4 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 1 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(theorem,plain,
! [A,B] :
( ~ g(A,B)
| ~ g(B,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN031-1.tptp',unknown),
[] ).
cnf(151226008,plain,
( ~ g(A,B)
| ~ g(B,a) ),
inference(rewrite,[status(thm)],[theorem]),
[] ).
fof(clause1,plain,
! [A] :
( g(A,a)
| g(f(A),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN031-1.tptp',unknown),
[] ).
cnf(151203496,plain,
( g(A,a)
| g(f(A),A) ),
inference(rewrite,[status(thm)],[clause1]),
[] ).
cnf(159061360,plain,
g(f(a),a),
inference(resolution,[status(thm)],[151226008,151203496]),
[] ).
fof(clause2,plain,
! [A] :
( g(A,a)
| g(A,f(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN031-1.tptp',unknown),
[] ).
cnf(151207592,plain,
( g(A,a)
| g(A,f(A)) ),
inference(rewrite,[status(thm)],[clause2]),
[] ).
cnf(159091104,plain,
g(a,f(a)),
inference(resolution,[status(thm)],[151226008,151207592]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[159061360,159091104,151226008]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(theorem,plain,(~g(A,B)|~g(B,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN031-1.tptp',unknown),[]).
%
% cnf(151226008,plain,(~g(A,B)|~g(B,a)),inference(rewrite,[status(thm)],[theorem]),[]).
%
% fof(clause1,plain,(g(A,a)|g(f(A),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN031-1.tptp',unknown),[]).
%
% cnf(151203496,plain,(g(A,a)|g(f(A),A)),inference(rewrite,[status(thm)],[clause1]),[]).
%
% cnf(159061360,plain,(g(f(a),a)),inference(resolution,[status(thm)],[151226008,151203496]),[]).
%
% fof(clause2,plain,(g(A,a)|g(A,f(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN031-1.tptp',unknown),[]).
%
% cnf(151207592,plain,(g(A,a)|g(A,f(A))),inference(rewrite,[status(thm)],[clause2]),[]).
%
% cnf(159091104,plain,(g(a,f(a))),inference(resolution,[status(thm)],[151226008,151207592]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[159061360,159091104,151226008]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------