%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LDA003-1 : 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 13:58:14 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 1 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(a2,plain,
! [A,B] : left(A,f(A,B)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LDA/LDA003-1.tptp',unknown),
[] ).
cnf(154752192,plain,
left(A,f(A,B)),
inference(rewrite,[status(thm)],[a2]),
[] ).
fof(prove_equation,plain,
~ left(n3,u),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LDA/LDA003-1.tptp',unknown),
[] ).
cnf(154779768,plain,
~ left(n3,u),
inference(rewrite,[status(thm)],[prove_equation]),
[] ).
fof(clause_5,plain,
$equal(f(n2,n1),n3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LDA/LDA003-1.tptp',unknown),
[] ).
cnf(154772192,plain,
$equal(f(n2,n1),n3),
inference(rewrite,[status(thm)],[clause_5]),
[] ).
cnf(162625584,plain,
~ left(f(n2,n1),u),
inference(paramodulation,[status(thm)],[154779768,154772192,theory(equality)]),
[] ).
fof(clause_6,plain,
$equal(f(n2,n2),u),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LDA/LDA003-1.tptp',unknown),
[] ).
cnf(154775992,plain,
$equal(f(n2,n2),u),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
cnf(162678536,plain,
~ left(f(n2,n1),f(n2,n2)),
inference(paramodulation,[status(thm)],[162625584,154775992,theory(equality)]),
[] ).
fof(clause_4,plain,
$equal(f(n1,n1),n2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LDA/LDA003-1.tptp',unknown),
[] ).
cnf(154764240,plain,
$equal(f(n1,n1),n2),
inference(rewrite,[status(thm)],[clause_4]),
[] ).
cnf(162764280,plain,
~ left(f(n2,n1),f(n2,f(n1,n1))),
inference(paramodulation,[status(thm)],[162678536,154764240,theory(equality)]),
[] ).
fof(a1,plain,
! [A,B,C] : $equal(f(f(A,B),f(A,C)),f(A,f(B,C))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LDA/LDA003-1.tptp',unknown),
[] ).
cnf(154747280,plain,
$equal(f(f(A,B),f(A,C)),f(A,f(B,C))),
inference(rewrite,[status(thm)],[a1]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[154752192,162764280,154747280,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(a2,plain,(left(A,f(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LDA/LDA003-1.tptp',unknown),[]).
%
% cnf(154752192,plain,(left(A,f(A,B))),inference(rewrite,[status(thm)],[a2]),[]).
%
% fof(prove_equation,plain,(~left(n3,u)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LDA/LDA003-1.tptp',unknown),[]).
%
% cnf(154779768,plain,(~left(n3,u)),inference(rewrite,[status(thm)],[prove_equation]),[]).
%
% fof(clause_5,plain,($equal(f(n2,n1),n3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LDA/LDA003-1.tptp',unknown),[]).
%
% cnf(154772192,plain,($equal(f(n2,n1),n3)),inference(rewrite,[status(thm)],[clause_5]),[]).
%
% cnf(162625584,plain,(~left(f(n2,n1),u)),inference(paramodulation,[status(thm)],[154779768,154772192,theory(equality)]),[]).
%
% fof(clause_6,plain,($equal(f(n2,n2),u)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LDA/LDA003-1.tptp',unknown),[]).
%
% cnf(154775992,plain,($equal(f(n2,n2),u)),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% cnf(162678536,plain,(~left(f(n2,n1),f(n2,n2))),inference(paramodulation,[status(thm)],[162625584,154775992,theory(equality)]),[]).
%
% fof(clause_4,plain,($equal(f(n1,n1),n2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LDA/LDA003-1.tptp',unknown),[]).
%
% cnf(154764240,plain,($equal(f(n1,n1),n2)),inference(rewrite,[status(thm)],[clause_4]),[]).
%
% cnf(162764280,plain,(~left(f(n2,n1),f(n2,f(n1,n1)))),inference(paramodulation,[status(thm)],[162678536,154764240,theory(equality)]),[]).
%
% fof(a1,plain,($equal(f(f(A,B),f(A,C)),f(A,f(B,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LDA/LDA003-1.tptp',unknown),[]).
%
% cnf(154747280,plain,($equal(f(f(A,B),f(A,C)),f(A,f(B,C)))),inference(rewrite,[status(thm)],[a1]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[154752192,162764280,154747280,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------