TSTP Solution File: SYN321-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN321-1 : TPTP v3.4.2. Released v1.2.0.
% 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 17:49:06 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 : 10 ( 3 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 9 ( 4 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause3,plain,
! [A] :
( f(a,b)
| g(a,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN321-1.tptp',unknown),
[] ).
cnf(141880016,plain,
( f(a,b)
| g(a,A) ),
inference(rewrite,[status(thm)],[clause3]),
[] ).
fof(clause4,plain,
( ~ f(a,b)
| ~ g(a,d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN321-1.tptp',unknown),
[] ).
fof(clause1,plain,
! [A,B] :
( ~ f(a,A)
| g(a,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN321-1.tptp',unknown),
[] ).
cnf(141867184,plain,
( ~ f(a,A)
| g(a,B) ),
inference(rewrite,[status(thm)],[clause1]),
[] ).
cnf(141883888,plain,
~ f(a,b),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause4,141867184]),
[] ).
cnf(157506080,plain,
g(a,A),
inference(resolution,[status(thm)],[141880016,141883888]),
[] ).
fof(clause2,plain,
! [A] :
( ~ g(A,A)
| f(A,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN321-1.tptp',unknown),
[] ).
cnf(141873656,plain,
( ~ g(A,A)
| f(A,b) ),
inference(rewrite,[status(thm)],[clause2]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[157506080,141873656,141883888]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause3,plain,(f(a,b)|g(a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN321-1.tptp',unknown),[]).
%
% cnf(141880016,plain,(f(a,b)|g(a,A)),inference(rewrite,[status(thm)],[clause3]),[]).
%
% fof(clause4,plain,(~f(a,b)|~g(a,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN321-1.tptp',unknown),[]).
%
% fof(clause1,plain,(~f(a,A)|g(a,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN321-1.tptp',unknown),[]).
%
% cnf(141867184,plain,(~f(a,A)|g(a,B)),inference(rewrite,[status(thm)],[clause1]),[]).
%
% cnf(141883888,plain,(~f(a,b)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause4,141867184]),[]).
%
% cnf(157506080,plain,(g(a,A)),inference(resolution,[status(thm)],[141880016,141883888]),[]).
%
% fof(clause2,plain,(~g(A,A)|f(A,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN321-1.tptp',unknown),[]).
%
% cnf(141873656,plain,(~g(A,A)|f(A,b)),inference(rewrite,[status(thm)],[clause2]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[157506080,141873656,141883888]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------