%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : ROB013-1 : TPTP v3.4.2. Released v1.0.0.
% 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 15:21:49 EDT 2009

% Result   : Unsatisfiable 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(robbins_axiom,plain,
    ! [A,B] : $equal(negate(add(negate(add(A,B)),negate(add(A,negate(B))))),A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ROB/ROB013-1.tptp',unknown),
    [] ).

cnf(143537544,plain,
    $equal(negate(add(negate(add(A,B)),negate(add(A,negate(B))))),A),
    inference(rewrite,[status(thm)],[robbins_axiom]),
    [] ).

fof(prove_result,plain,
    ~ $equal(negate(add(c,negate(add(negate(b),a)))),a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ROB/ROB013-1.tptp',unknown),
    [] ).

cnf(143550376,plain,
    ~ $equal(negate(add(c,negate(add(negate(b),a)))),a),
    inference(rewrite,[status(thm)],[prove_result]),
    [] ).

fof(commutativity_of_add,plain,
    ! [B,A] : $equal(add(B,A),add(A,B)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ROB/ROB013-1.tptp',unknown),
    [] ).

cnf(143529392,plain,
    $equal(add(B,A),add(A,B)),
    inference(rewrite,[status(thm)],[commutativity_of_add]),
    [] ).

cnf(151394744,plain,
    ~ $equal(negate(add(c,negate(add(a,negate(b))))),a),
    inference(paramodulation,[status(thm)],[143550376,143529392,theory(equality)]),
    [] ).

fof(condition,plain,
    $equal(negate(add(a,b)),c),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ROB/ROB013-1.tptp',unknown),
    [] ).

cnf(143541360,plain,
    $equal(negate(add(a,b)),c),
    inference(rewrite,[status(thm)],[condition]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[143537544,151394744,143541360,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(robbins_axiom,plain,($equal(negate(add(negate(add(A,B)),negate(add(A,negate(B))))),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ROB/ROB013-1.tptp',unknown),[]).
% 
% cnf(143537544,plain,($equal(negate(add(negate(add(A,B)),negate(add(A,negate(B))))),A)),inference(rewrite,[status(thm)],[robbins_axiom]),[]).
% 
% fof(prove_result,plain,(~$equal(negate(add(c,negate(add(negate(b),a)))),a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ROB/ROB013-1.tptp',unknown),[]).
% 
% cnf(143550376,plain,(~$equal(negate(add(c,negate(add(negate(b),a)))),a)),inference(rewrite,[status(thm)],[prove_result]),[]).
% 
% fof(commutativity_of_add,plain,($equal(add(B,A),add(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ROB/ROB013-1.tptp',unknown),[]).
% 
% cnf(143529392,plain,($equal(add(B,A),add(A,B))),inference(rewrite,[status(thm)],[commutativity_of_add]),[]).
% 
% cnf(151394744,plain,(~$equal(negate(add(c,negate(add(a,negate(b))))),a)),inference(paramodulation,[status(thm)],[143550376,143529392,theory(equality)]),[]).
% 
% fof(condition,plain,($equal(negate(add(a,b)),c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/ROB/ROB013-1.tptp',unknown),[]).
% 
% cnf(143541360,plain,($equal(negate(add(a,b)),c)),inference(rewrite,[status(thm)],[condition]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[143537544,151394744,143541360,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------