%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : ROB030-1 : TPTP v3.4.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.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 15:22:04 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   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    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (   5 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_absorption_within_negation,plain,
    ! [A,B] : ~ $equal(negate(add(A,B)),negate(B)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ROB/ROB030-1.tptp',unknown),
    [] ).

cnf(150114312,plain,
    ~ $equal(negate(add(A,B)),negate(B)),
    inference(rewrite,[status(thm)],[prove_absorption_within_negation]),
    [] ).

fof(associativity_of_add,plain,
    ! [A,B,C] : $equal(add(A,add(B,C)),add(add(A,B),C)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ROB/ROB030-1.tptp',unknown),
    [] ).

cnf(150097776,plain,
    $equal(add(A,add(B,C)),add(add(A,B),C)),
    inference(rewrite,[status(thm)],[associativity_of_add]),
    [] ).

cnf(157938080,plain,
    ~ $equal(negate(add(B,add(C,A))),negate(A)),
    inference(paramodulation,[status(thm)],[150114312,150097776,theory(equality)]),
    [] ).

fof(absorbtion,plain,
    $equal(add(c,d),d),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ROB/ROB030-1.tptp',unknown),
    [] ).

cnf(150105576,plain,
    $equal(add(c,d),d),
    inference(rewrite,[status(thm)],[absorbtion]),
    [] ).

cnf(158029616,plain,
    ~ $equal(negate(add(A,d)),negate(d)),
    inference(paramodulation,[status(thm)],[157938080,150105576,theory(equality)]),
    [] ).

cnf(158158216,plain,
    ~ $equal(negate(add(A,d)),negate(add(c,d))),
    inference(paramodulation,[status(thm)],[158029616,150105576,theory(equality)]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(equality_resolution,[status(thm)],[158158216]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_absorption_within_negation,plain,(~$equal(negate(add(A,B)),negate(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ROB/ROB030-1.tptp',unknown),[]).
% 
% cnf(150114312,plain,(~$equal(negate(add(A,B)),negate(B))),inference(rewrite,[status(thm)],[prove_absorption_within_negation]),[]).
% 
% fof(associativity_of_add,plain,($equal(add(A,add(B,C)),add(add(A,B),C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ROB/ROB030-1.tptp',unknown),[]).
% 
% cnf(150097776,plain,($equal(add(A,add(B,C)),add(add(A,B),C))),inference(rewrite,[status(thm)],[associativity_of_add]),[]).
% 
% cnf(157938080,plain,(~$equal(negate(add(B,add(C,A))),negate(A))),inference(paramodulation,[status(thm)],[150114312,150097776,theory(equality)]),[]).
% 
% fof(absorbtion,plain,($equal(add(c,d),d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ROB/ROB030-1.tptp',unknown),[]).
% 
% cnf(150105576,plain,($equal(add(c,d),d)),inference(rewrite,[status(thm)],[absorbtion]),[]).
% 
% cnf(158029616,plain,(~$equal(negate(add(A,d)),negate(d))),inference(paramodulation,[status(thm)],[157938080,150105576,theory(equality)]),[]).
% 
% cnf(158158216,plain,(~$equal(negate(add(A,d)),negate(add(c,d)))),inference(paramodulation,[status(thm)],[158029616,150105576,theory(equality)]),[]).
% 
% cnf(contradiction,plain,$false,inference(equality_resolution,[status(thm)],[158158216]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------