TSTP Solution File: GRP135-1.002 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GRP135-1.002 : TPTP v3.4.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 12:28:59 EDT 2009

% Result   : Unsatisfiable 169.5s
% Output   : Refutation 169.5s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  219
%            Number of leaves      :    8
% Syntax   : Number of formulae    :  402 (  10 unt;   0 def)
%            Number of atoms       :  812 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  811 ( 401   ~; 410   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   49 (   0 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(product_total_function1,plain,
    ! [A,B] :
      ( ~ group_element(A)
      | ~ group_element(B)
      | product(A,B,e_1)
      | product(A,B,e_2) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),
    [] ).

cnf(151378384,plain,
    ( ~ group_element(A)
    | ~ group_element(B)
    | product(A,B,e_1)
    | product(A,B,e_2) ),
    inference(rewrite,[status(thm)],[product_total_function1]),
    [] ).

fof(element_2,plain,
    group_element(e_2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),
    [] ).

cnf(151360216,plain,
    group_element(e_2),
    inference(rewrite,[status(thm)],[element_2]),
    [] ).

cnf(159372888,plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2) ),
    inference(resolution,[status(thm)],[151378384,151360216]),
    [] ).

fof(product_right_cancellation,plain,
    ! [A,B,C,D] :
      ( ~ product(A,B,C)
      | ~ product(A,D,C)
      | equalish(B,D) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),
    [] ).

cnf(151398920,plain,
    ( ~ product(A,B,C)
    | ~ product(A,D,C)
    | equalish(B,D) ),
    inference(rewrite,[status(thm)],[product_right_cancellation]),
    [] ).

fof(e_1_is_not_e_2,plain,
    ~ equalish(e_1,e_2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),
    [] ).

cnf(151364736,plain,
    ~ equalish(e_1,e_2),
    inference(rewrite,[status(thm)],[e_1_is_not_e_2]),
    [] ).

cnf(159296872,plain,
    ( ~ product(A,e_1,B)
    | ~ product(A,e_2,B) ),
    inference(resolution,[status(thm)],[151398920,151364736]),
    [] ).

cnf(159728320,plain,
    ( product(e_2,e_2,e_1)
    | ~ product(e_2,e_1,e_2) ),
    inference(resolution,[status(thm)],[159372888,159296872]),
    [] ).

fof(element_1,plain,
    group_element(e_1),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),
    [] ).

cnf(151356296,plain,
    group_element(e_1),
    inference(rewrite,[status(thm)],[element_1]),
    [] ).

cnf(159218288,plain,
    ( ~ group_element(A)
    | product(A,e_1,e_1)
    | product(A,e_1,e_2) ),
    inference(resolution,[status(thm)],[151378384,151356296]),
    [] ).

cnf(159235744,plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2) ),
    inference(resolution,[status(thm)],[159218288,151360216]),
    [] ).

cnf(160895416,plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_1,e_1) ),
    inference(resolution,[status(thm)],[159728320,159235744]),
    [] ).

fof(qg3,plain,
    ! [A,B,C,D] :
      ( ~ product(A,B,C)
      | ~ product(C,A,D)
      | product(D,A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),
    [] ).

cnf(151406928,plain,
    ( ~ product(A,B,C)
    | ~ product(C,A,D)
    | product(D,A,B) ),
    inference(rewrite,[status(thm)],[qg3]),
    [] ).

cnf(159197112,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(resolution,[status(thm)],[151378384,151356296]),
    [] ).

cnf(162890080,plain,
    ( ~ product(e_2,e_1,A)
    | product(A,e_1,e_1)
    | product(e_1,e_1,e_1) ),
    inference(resolution,[status(thm)],[151406928,159197112]),
    [] ).

cnf(159179456,plain,
    ( ~ group_element(A)
    | product(e_1,A,e_1)
    | product(e_1,A,e_2) ),
    inference(resolution,[status(thm)],[151378384,151356296]),
    [] ).

cnf(159910456,plain,
    ( product(e_1,e_2,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[151360216,159179456,159296872]),
    [] ).

fof(product_left_cancellation,plain,
    ! [A,B,C,D] :
      ( ~ product(A,B,C)
      | ~ product(D,B,C)
      | equalish(A,D) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),
    [] ).

cnf(151402552,plain,
    ( ~ product(A,B,C)
    | ~ product(D,B,C)
    | equalish(A,D) ),
    inference(rewrite,[status(thm)],[product_left_cancellation]),
    [] ).

cnf(159322704,plain,
    ( ~ product(e_1,A,B)
    | ~ product(e_2,A,B) ),
    inference(resolution,[status(thm)],[151402552,151364736]),
    [] ).

cnf(159736296,plain,
    ( product(e_2,e_2,e_1)
    | ~ product(e_1,e_2,e_2) ),
    inference(resolution,[status(thm)],[159372888,159322704]),
    [] ).

cnf(161127096,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_2,e_2,e_1) ),
    inference(resolution,[status(thm)],[159910456,159736296]),
    [] ).

cnf(670974768,plain,
    product(e_2,e_2,e_1),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[160895416,162890080,161127096]),
    [] ).

cnf(682016648,plain,
    ( ~ product(e_2,A,e_2)
    | product(e_1,e_2,A) ),
    inference(resolution,[status(thm)],[670974768,151406928]),
    [] ).

cnf(159549424,plain,
    ( product(e_1,e_1,e_2)
    | ~ product(e_1,e_2,e_1) ),
    inference(resolution,[status(thm)],[159197112,159296872]),
    [] ).

cnf(159256656,plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2) ),
    inference(resolution,[status(thm)],[159179456,151360216]),
    [] ).

cnf(160087304,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_2,e_2) ),
    inference(resolution,[status(thm)],[159549424,159256656]),
    [] ).

cnf(163045968,plain,
    ( ~ product(e_2,e_1,A)
    | product(A,e_1,e_2)
    | product(e_1,e_1,e_2) ),
    inference(resolution,[status(thm)],[151406928,160087304]),
    [] ).

cnf(162883024,plain,
    ( ~ product(e_1,e_1,A)
    | product(A,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(resolution,[status(thm)],[151406928,159197112]),
    [] ).

cnf(250609480,plain,
    ( product(e_1,e_1,e_2)
    | ~ product(e_1,e_2,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,162883024,159549424]),
    [] ).

cnf(251446312,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,250609480,162883024]),
    [] ).

cnf(253014304,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,251446312,162883024]),
    [] ).

cnf(254219864,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,253014304,162883024]),
    [] ).

cnf(255424072,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,254219864,162883024]),
    [] ).

cnf(256639512,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,255424072,162883024]),
    [] ).

cnf(257863136,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,256639512,162883024]),
    [] ).

cnf(259088832,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,257863136,162883024]),
    [] ).

cnf(260325848,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,259088832,162883024]),
    [] ).

cnf(261570072,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,260325848,162883024]),
    [] ).

cnf(262821648,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,261570072,162883024]),
    [] ).

cnf(264080240,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,262821648,162883024]),
    [] ).

cnf(265346064,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,264080240,162883024]),
    [] ).

cnf(266623168,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,265346064,162883024]),
    [] ).

cnf(267903376,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,266623168,162883024]),
    [] ).

cnf(269190784,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,267903376,162883024]),
    [] ).

cnf(270489488,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,269190784,162883024]),
    [] ).

cnf(271793432,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,270489488,162883024]),
    [] ).

cnf(273106672,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,271793432,162883024]),
    [] ).

cnf(274430088,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,273106672,162883024]),
    [] ).

cnf(275753480,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,274430088,162883024]),
    [] ).

cnf(277092424,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,275753480,162883024]),
    [] ).

cnf(278430248,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,277092424,162883024]),
    [] ).

cnf(279783440,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,278430248,162883024]),
    [] ).

cnf(281139736,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,279783440,162883024]),
    [] ).

cnf(282503272,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,281139736,162883024]),
    [] ).

cnf(283880360,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,282503272,162883024]),
    [] ).

cnf(285258288,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,283880360,162883024]),
    [] ).

cnf(286647480,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,285258288,162883024]),
    [] ).

cnf(288042872,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,286647480,162883024]),
    [] ).

cnf(289446536,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,288042872,162883024]),
    [] ).

cnf(290857312,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,289446536,162883024]),
    [] ).

cnf(292275304,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,290857312,162883024]),
    [] ).

cnf(293696560,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,292275304,162883024]),
    [] ).

cnf(295133344,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,293696560,162883024]),
    [] ).

cnf(296572952,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,295133344,162883024]),
    [] ).

cnf(298023816,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,296572952,162883024]),
    [] ).

cnf(299479360,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,298023816,162883024]),
    [] ).

cnf(300944656,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,299479360,162883024]),
    [] ).

cnf(302417184,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,300944656,162883024]),
    [] ).

cnf(303892784,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,302417184,162883024]),
    [] ).

cnf(305383760,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,303892784,162883024]),
    [] ).

cnf(306873784,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,305383760,162883024]),
    [] ).

cnf(308375080,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,306873784,162883024]),
    [] ).

cnf(309883560,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,308375080,162883024]),
    [] ).

cnf(311399232,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,309883560,162883024]),
    [] ).

cnf(312926184,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,311399232,162883024]),
    [] ).

cnf(314456264,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,312926184,162883024]),
    [] ).

cnf(315993512,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,314456264,162883024]),
    [] ).

cnf(317542080,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,315993512,162883024]),
    [] ).

cnf(319093768,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,317542080,162883024]),
    [] ).

cnf(320652648,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,319093768,162883024]),
    [] ).

cnf(322222848,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,320652648,162883024]),
    [] ).

cnf(323800504,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,322222848,162883024]),
    [] ).

cnf(325385072,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,323800504,162883024]),
    [] ).

cnf(326976832,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,325385072,162883024]),
    [] ).

cnf(328575872,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,326976832,162883024]),
    [] ).

cnf(330181968,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,328575872,162883024]),
    [] ).

cnf(331795856,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,330181968,162883024]),
    [] ).

cnf(333420504,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,331795856,162883024]),
    [] ).

cnf(335048296,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,333420504,162883024]),
    [] ).

cnf(336683272,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,335048296,162883024]),
    [] ).

cnf(338333616,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,336683272,162883024]),
    [] ).

cnf(339983008,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,338333616,162883024]),
    [] ).

cnf(341643640,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,339983008,162883024]),
    [] ).

cnf(343311792,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,341643640,162883024]),
    [] ).

cnf(344983312,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,343311792,162883024]),
    [] ).

cnf(346669624,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,344983312,162883024]),
    [] ).

cnf(348359088,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,346669624,162883024]),
    [] ).

cnf(350059848,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,348359088,162883024]),
    [] ).

cnf(351763720,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,350059848,162883024]),
    [] ).

cnf(353480976,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,351763720,162883024]),
    [] ).

cnf(355203360,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,353480976,162883024]),
    [] ).

cnf(356928784,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,355203360,162883024]),
    [] ).

cnf(358661488,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,356928784,162883024]),
    [] ).

cnf(360409488,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,358661488,162883024]),
    [] ).

cnf(362156544,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,360409488,162883024]),
    [] ).

cnf(363918984,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,362156544,162883024]),
    [] ).

cnf(365680448,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,363918984,162883024]),
    [] ).

cnf(367453216,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,365680448,162883024]),
    [] ).

cnf(369237232,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,367453216,162883024]),
    [] ).

cnf(371032624,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,369237232,162883024]),
    [] ).

cnf(372831000,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,371032624,162883024]),
    [] ).

cnf(374632544,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,372831000,162883024]),
    [] ).

cnf(376441312,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,374632544,162883024]),
    [] ).

cnf(378261352,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,376441312,162883024]),
    [] ).

cnf(380088640,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,378261352,162883024]),
    [] ).

cnf(381923096,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,380088640,162883024]),
    [] ).

cnf(383764696,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,381923096,162883024]),
    [] ).

cnf(385609520,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,383764696,162883024]),
    [] ).

cnf(387469688,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,385609520,162883024]),
    [] ).

cnf(389332992,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,387469688,162883024]),
    [] ).

cnf(391203392,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,389332992,162883024]),
    [] ).

cnf(393085208,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,391203392,162883024]),
    [] ).

cnf(394976256,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,393085208,162883024]),
    [] ).

cnf(396872408,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,394976256,162883024]),
    [] ).

cnf(398771696,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,396872408,162883024]),
    [] ).

cnf(400678184,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,398771696,162883024]),
    [] ).

cnf(402600048,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,400678184,162883024]),
    [] ).

cnf(404520952,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,402600048,162883024]),
    [] ).

cnf(406457232,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,404520952,162883024]),
    [] ).

cnf(408396616,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,406457232,162883024]),
    [] ).

cnf(410339096,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,408396616,162883024]),
    [] ).

cnf(412296936,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,410339096,162883024]),
    [] ).

cnf(414257896,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,412296936,162883024]),
    [] ).

cnf(416230136,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,414257896,162883024]),
    [] ).

cnf(418205512,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,416230136,162883024]),
    [] ).

cnf(420192144,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,418205512,162883024]),
    [] ).

cnf(422186016,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,420192144,162883024]),
    [] ).

cnf(424182984,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,422186016,162883024]),
    [] ).

cnf(426191232,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,424182984,162883024]),
    [] ).

cnf(428209776,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,426191232,162883024]),
    [] ).

cnf(430232480,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,428209776,162883024]),
    [] ).

cnf(432266408,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,430232480,162883024]),
    [] ).

cnf(434303480,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,432266408,162883024]),
    [] ).

cnf(436347728,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,434303480,162883024]),
    [] ).

cnf(438403280,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,436347728,162883024]),
    [] ).

cnf(440462448,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,438403280,162883024]),
    [] ).

cnf(442532392,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,440462448,162883024]),
    [] ).

cnf(444605504,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,442532392,162883024]),
    [] ).

cnf(446689880,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,444605504,162883024]),
    [] ).

cnf(448781424,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,446689880,162883024]),
    [] ).

cnf(450884344,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,448781424,162883024]),
    [] ).

cnf(452990304,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,450884344,162883024]),
    [] ).

cnf(455103448,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,452990304,162883024]),
    [] ).

cnf(457223848,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,455103448,162883024]),
    [] ).

cnf(459355496,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,457223848,162883024]),
    [] ).

cnf(461490232,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,459355496,162883024]),
    [] ).

cnf(463636304,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,461490232,162883024]),
    [] ).

cnf(465785944,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,463636304,162883024]),
    [] ).

cnf(467943336,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,465785944,162883024]),
    [] ).

cnf(470115080,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,467943336,162883024]),
    [] ).

cnf(472285856,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,470115080,162883024]),
    [] ).

cnf(474467928,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,472285856,162883024]),
    [] ).

cnf(476657216,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,474467928,162883024]),
    [] ).

cnf(478853680,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,476657216,162883024]),
    [] ).

cnf(481061464,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,478853680,162883024]),
    [] ).

cnf(483272336,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,481061464,162883024]),
    [] ).

cnf(485490440,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,483272336,162883024]),
    [] ).

cnf(487719752,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,485490440,162883024]),
    [] ).

cnf(489952272,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,487719752,162883024]),
    [] ).

cnf(492195976,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,489952272,162883024]),
    [] ).

cnf(494446920,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,492195976,162883024]),
    [] ).

cnf(496701048,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,494446920,162883024]),
    [] ).

cnf(498970488,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,496701048,162883024]),
    [] ).

cnf(501238976,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,498970488,162883024]),
    [] ).

cnf(503522800,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,501238976,162883024]),
    [] ).

cnf(505809752,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,503522800,162883024]),
    [] ).

cnf(508103960,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,505809752,162883024]),
    [] ).

cnf(510409360,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,508103960,162883024]),
    [] ).

cnf(512717936,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,510409360,162883024]),
    [] ).

cnf(515033648,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,512717936,162883024]),
    [] ).

cnf(517360664,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,515033648,162883024]),
    [] ).

cnf(519690784,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,517360664,162883024]),
    [] ).

cnf(522036360,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,519690784,162883024]),
    [] ).

cnf(524380896,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,522036360,162883024]),
    [] ).

cnf(526736792,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,524380896,162883024]),
    [] ).

cnf(529103880,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,526736792,162883024]),
    [] ).

cnf(531469968,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,529103880,162883024]),
    [] ).

cnf(533851504,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,531469968,162883024]),
    [] ).

cnf(536236136,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,533851504,162883024]),
    [] ).

cnf(538628008,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,536236136,162883024]),
    [] ).

cnf(541031096,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,538628008,162883024]),
    [] ).

cnf(543441488,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,541031096,162883024]),
    [] ).

cnf(545862064,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,543441488,162883024]),
    [] ).

cnf(548282760,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,545862064,162883024]),
    [] ).

cnf(550731048,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,548282760,162883024]),
    [] ).

cnf(553170200,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,550731048,162883024]),
    [] ).

cnf(555616560,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,553170200,162883024]),
    [] ).

cnf(558070136,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,555616560,162883024]),
    [] ).

cnf(560534936,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,558070136,162883024]),
    [] ).

cnf(563002896,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,560534936,162883024]),
    [] ).

cnf(565482088,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,563002896,162883024]),
    [] ).

cnf(567976728,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,565482088,162883024]),
    [] ).

cnf(570466264,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,567976728,162883024]),
    [] ).

cnf(572967120,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,570466264,162883024]),
    [] ).

cnf(575475136,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,572967120,162883024]),
    [] ).

cnf(577990304,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,575475136,162883024]),
    [] ).

cnf(580512744,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,577990304,162883024]),
    [] ).

cnf(583038272,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,580512744,162883024]),
    [] ).

cnf(585579168,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,583038272,162883024]),
    [] ).

cnf(588123216,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,585579168,162883024]),
    [] ).

cnf(590678600,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,588123216,162883024]),
    [] ).

cnf(593236960,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,590678600,162883024]),
    [] ).

cnf(595802608,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,593236960,162883024]),
    [] ).

cnf(598379496,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,595802608,162883024]),
    [] ).

cnf(600959488,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,598379496,162883024]),
    [] ).

cnf(603550832,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,600959488,162883024]),
    [] ).

cnf(606149304,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,603550832,162883024]),
    [] ).

cnf(608755032,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,606149304,162883024]),
    [] ).

cnf(611367968,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,608755032,162883024]),
    [] ).

cnf(613988096,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,611367968,162883024]),
    [] ).

cnf(616615408,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,613988096,162883024]),
    [] ).

cnf(619253984,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,616615408,162883024]),
    [] ).

cnf(621895744,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,619253984,162883024]),
    [] ).

cnf(624548728,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,621895744,162883024]),
    [] ).

cnf(627208920,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,624548728,162883024]),
    [] ).

cnf(629872248,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,627208920,162883024]),
    [] ).

cnf(632546832,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,629872248,162883024]),
    [] ).

cnf(635228608,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,632546832,162883024]),
    [] ).

cnf(637917640,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,635228608,162883024]),
    [] ).

cnf(640613784,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,637917640,162883024]),
    [] ).

cnf(643317176,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,640613784,162883024]),
    [] ).

cnf(646027776,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,643317176,162883024]),
    [] ).

cnf(648745560,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,646027776,162883024]),
    [] ).

cnf(651474576,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,648745560,162883024]),
    [] ).

cnf(654206800,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,651474576,162883024]),
    [] ).

cnf(656946224,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,654206800,162883024]),
    [] ).

cnf(659700912,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,656946224,162883024]),
    [] ).

cnf(662454736,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,659700912,162883024]),
    [] ).

cnf(665215768,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,662454736,162883024]),
    [] ).

cnf(667989760,plain,
    ( ~ product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,665215768,162883024]),
    [] ).

cnf(159578408,plain,
    ( product(e_1,e_1,e_1)
    | ~ product(e_2,e_1,e_2) ),
    inference(resolution,[status(thm)],[159197112,159322704]),
    [] ).

fof(product_total_function2,plain,
    ! [A,B,C,D] :
      ( ~ product(A,B,C)
      | ~ product(A,B,D)
      | equalish(C,D) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),
    [] ).

cnf(151390632,plain,
    ( ~ product(A,B,C)
    | ~ product(A,B,D)
    | equalish(C,D) ),
    inference(rewrite,[status(thm)],[product_total_function2]),
    [] ).

cnf(159270920,plain,
    ( ~ product(A,B,e_1)
    | ~ product(A,B,e_2) ),
    inference(resolution,[status(thm)],[151390632,151364736]),
    [] ).

cnf(160280072,plain,
    ( ~ product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_2) ),
    inference(resolution,[status(thm)],[159578408,159270920]),
    [] ).

cnf(102382873,plain,
    ~ product(e_2,e_1,e_2),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[682016648,667989760,160280072]),
    [] ).

cnf(160000168,plain,
    ( product(e_1,e_2,e_1)
    | ~ product(e_1,e_1,e_2) ),
    inference(resolution,[status(thm)],[159256656,159296872]),
    [] ).

cnf(159570696,plain,
    ( product(e_1,e_1,e_2)
    | ~ product(e_2,e_1,e_1) ),
    inference(resolution,[status(thm)],[159197112,159322704]),
    [] ).

cnf(160263608,plain,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[151356296,151360216,159570696,151378384]),
    [] ).

cnf(161590176,plain,
    ( product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2) ),
    inference(resolution,[status(thm)],[160000168,160263608]),
    [] ).

cnf(163298592,plain,
    ( ~ product(e_1,e_1,A)
    | product(A,e_1,e_2)
    | product(e_2,e_1,e_2) ),
    inference(resolution,[status(thm)],[151406928,161590176]),
    [] ).

cnf(160426304,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[151360216,159218288,159322704]),
    [] ).

cnf(250669448,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_2,e_1,e_2) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,162883024,160426304]),
    [] ).

cnf(252261272,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,250669448,162883024]),
    [] ).

cnf(253843064,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,252261272,162883024]),
    [] ).

cnf(255044888,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,253843064,162883024]),
    [] ).

cnf(256257928,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,255044888,162883024]),
    [] ).

cnf(257475064,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,256257928,162883024]),
    [] ).

cnf(258698376,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,257475064,162883024]),
    [] ).

cnf(259937048,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,258698376,162883024]),
    [] ).

cnf(261174784,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,259937048,162883024]),
    [] ).

cnf(262423848,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,261174784,162883024]),
    [] ).

cnf(263680184,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,262423848,162883024]),
    [] ).

cnf(264943576,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,263680184,162883024]),
    [] ).

cnf(266218304,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,264943576,162883024]),
    [] ).

cnf(267496112,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,266218304,162883024]),
    [] ).

cnf(268781120,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,267496112,162883024]),
    [] ).

cnf(270077424,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,268781120,162883024]),
    [] ).

cnf(271378888,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,270077424,162883024]),
    [] ).

cnf(272689808,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,271378888,162883024]),
    [] ).

cnf(274010800,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,272689808,162883024]),
    [] ).

cnf(275331784,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,274010800,162883024]),
    [] ).

cnf(276668360,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,275331784,162883024]),
    [] ).

cnf(278003784,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,276668360,162883024]),
    [] ).

cnf(279354544,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,278003784,162883024]),
    [] ).

cnf(280708472,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,279354544,162883024]),
    [] ).

cnf(282069576,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,280708472,162883024]),
    [] ).

cnf(283444048,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,282069576,162883024]),
    [] ).

cnf(284819824,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,283444048,162883024]),
    [] ).

cnf(286202488,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,284819824,162883024]),
    [] ).

cnf(287599592,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,286202488,162883024]),
    [] ).

cnf(289000840,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,287599592,162883024]),
    [] ).

cnf(290409248,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,289000840,162883024]),
    [] ).

cnf(291820752,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,290409248,162883024]),
    [] ).

cnf(293243560,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,291820752,162883024]),
    [] ).

cnf(294678048,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,293243560,162883024]),
    [] ).

cnf(296115288,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,294678048,162883024]),
    [] ).

cnf(297559664,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,296115288,162883024]),
    [] ).

cnf(299011264,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,297559664,162883024]),
    [] ).

cnf(300475696,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,299011264,162883024]),
    [] ).

cnf(301949904,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,300475696,162883024]),
    [] ).

cnf(303423104,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,301949904,162883024]),
    [] ).

cnf(304907584,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,303423104,162883024]),
    [] ).

cnf(306399304,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,304907584,162883024]),
    [] ).

cnf(307894128,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,306399304,162883024]),
    [] ).

cnf(309404312,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,307894128,162883024]),
    [] ).

cnf(310913480,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,309404312,162883024]),
    [] ).

cnf(312438032,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,310913480,162883024]),
    [] ).

cnf(313965696,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,312438032,162883024]),
    [] ).

cnf(315500560,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,313965696,162883024]),
    [] ).

cnf(317046712,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,315500560,162883024]),
    [] ).

cnf(318596016,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,317046712,162883024]),
    [] ).

cnf(320152496,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,318596016,162883024]),
    [] ).

cnf(321720288,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,320152496,162883024]),
    [] ).

cnf(323295536,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,321720288,162883024]),
    [] ).

cnf(324877728,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,323295536,162883024]),
    [] ).

cnf(326467080,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,324877728,162883024]),
    [] ).

cnf(328063656,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,326467080,162883024]),
    [] ).

cnf(329667416,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,328063656,162883024]),
    [] ).

cnf(331278384,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,329667416,162883024]),
    [] ).

cnf(332901136,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,331278384,162883024]),
    [] ).

cnf(334526520,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,332901136,162883024]),
    [] ).

cnf(336159120,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,334526520,162883024]),
    [] ).

cnf(337802976,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,336159120,162883024]),
    [] ).

cnf(339454056,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,337802976,162883024]),
    [] ).

cnf(341112296,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,339454056,162883024]),
    [] ).

cnf(342773672,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,341112296,162883024]),
    [] ).

cnf(344447136,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,342773672,162883024]),
    [] ).

cnf(346131072,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,344447136,162883024]),
    [] ).

cnf(347814048,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,346131072,162883024]),
    [] ).

cnf(349508320,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,347814048,162883024]),
    [] ).

cnf(351213864,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,349508320,162883024]),
    [] ).

cnf(352928712,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,351213864,162883024]),
    [] ).

cnf(354648704,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,352928712,162883024]),
    [] ).

cnf(356371744,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,354648704,162883024]),
    [] ).

cnf(358106072,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,356371744,162883024]),
    [] ).

cnf(359847648,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,358106072,162883024]),
    [] ).

cnf(361592312,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,359847648,162883024]),
    [] ).

cnf(363352328,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,361592312,162883024]),
    [] ).

cnf(365111400,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,363352328,162883024]),
    [] ).

cnf(366881776,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,365111400,162883024]),
    [] ).

cnf(368663392,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,366881776,162883024]),
    [] ).

cnf(370456352,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,368663392,162883024]),
    [] ).

cnf(372252360,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,370456352,162883024]),
    [] ).

cnf(374051488,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,372252360,162883024]),
    [] ).

cnf(375857856,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,374051488,162883024]),
    [] ).

cnf(377675512,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,375857856,162883024]),
    [] ).

cnf(379500368,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,377675512,162883024]),
    [] ).

cnf(381328344,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,379500368,162883024]),
    [] ).

cnf(383171656,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,381328344,162883024]),
    [] ).

cnf(385014056,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,383171656,162883024]),
    [] ).

cnf(386871816,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,385014056,162883024]),
    [] ).

cnf(388732696,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,386871816,162883024]),
    [] ).

cnf(390596648,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,388732696,162883024]),
    [] ).

cnf(392476032,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,390596648,162883024]),
    [] ).

cnf(394364704,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,392476032,162883024]),
    [] ).

cnf(396262544,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,394364704,162883024]),
    [] ).

cnf(398159432,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,396262544,162883024]),
    [] ).

cnf(400063512,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,398159432,162883024]),
    [] ).

cnf(401978896,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,400063512,162883024]),
    [] ).

cnf(403901472,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,401978896,162883024]),
    [] ).

cnf(405835352,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,403901472,162883024]),
    [] ).

cnf(407768248,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,405835352,162883024]),
    [] ).

cnf(409712432,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,407768248,162883024]),
    [] ).

cnf(411667856,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,409712432,162883024]),
    [] ).

cnf(413626432,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,411667856,162883024]),
    [] ).

cnf(415596272,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,413626432,162883024]),
    [] ).

cnf(417569232,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,415596272,162883024]),
    [] ).

cnf(419549392,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,417569232,162883024]),
    [] ).

cnf(421540848,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,419549392,162883024]),
    [] ).

cnf(423539520,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,421540848,162883024]),
    [] ).

cnf(425541280,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,423539520,162883024]),
    [] ).

cnf(427558440,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,425541280,162883024]),
    [] ).

cnf(429577704,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,427558440,162883024]),
    [] ).

cnf(431609248,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,429577704,162883024]),
    [] ).

cnf(433643920,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,431609248,162883024]),
    [] ).

cnf(435685776,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,433643920,162883024]),
    [] ).

cnf(437738912,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,435685776,162883024]),
    [] ).

cnf(439795688,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,437738912,162883024]),
    [] ).

cnf(441863232,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,439795688,162883024]),
    [] ).

cnf(443933920,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,441863232,162883024]),
    [] ).

cnf(446015904,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,443933920,162883024]),
    [] ).

cnf(448105064,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,446015904,162883024]),
    [] ).

cnf(450201472,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,448105064,162883024]),
    [] ).

cnf(452309144,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,450201472,162883024]),
    [] ).

cnf(454419888,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,452309144,162883024]),
    [] ).

cnf(456537856,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,454419888,162883024]),
    [] ).

cnf(458667128,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,456537856,162883024]),
    [] ).

cnf(460799472,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,458667128,162883024]),
    [] ).

cnf(462939072,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,460799472,162883024]),
    [] ).

cnf(465089864,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,462939072,162883024]),
    [] ).

cnf(467245376,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,465089864,162883024]),
    [] ).

cnf(469414704,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,467245376,162883024]),
    [] ).

cnf(471583080,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,469414704,162883024]),
    [] ).

cnf(473758664,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,471583080,162883024]),
    [] ).

cnf(475949648,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,473758664,162883024]),
    [] ).

cnf(478143720,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,475949648,162883024]),
    [] ).

cnf(480349088,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,478143720,162883024]),
    [] ).

cnf(482553472,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,480349088,162883024]),
    [] ).

cnf(484769160,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,482553472,162883024]),
    [] ).

cnf(486996104,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,484769160,162883024]),
    [] ).

cnf(489230288,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,486996104,162883024]),
    [] ).

cnf(491471608,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,489230288,162883024]),
    [] ).

cnf(493716056,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_1,e_1,e_1) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,491471608,162883024]),
    [] ).

cnf(670925384,plain,
    product(e_2,e_1,e_2),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[493716056,159235744,162890080,160426304]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[102382873,670925384]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 167 seconds
% START OF PROOF SEQUENCE
% fof(product_total_function1,plain,(~group_element(A)|~group_element(B)|product(A,B,e_1)|product(A,B,e_2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),[]).
% 
% cnf(151378384,plain,(~group_element(A)|~group_element(B)|product(A,B,e_1)|product(A,B,e_2)),inference(rewrite,[status(thm)],[product_total_function1]),[]).
% 
% fof(element_2,plain,(group_element(e_2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),[]).
% 
% cnf(151360216,plain,(group_element(e_2)),inference(rewrite,[status(thm)],[element_2]),[]).
% 
% cnf(159372888,plain,(product(e_2,e_2,e_1)|product(e_2,e_2,e_2)),inference(resolution,[status(thm)],[151378384,151360216]),[]).
% 
% fof(product_right_cancellation,plain,(~product(A,B,C)|~product(A,D,C)|equalish(B,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),[]).
% 
% cnf(151398920,plain,(~product(A,B,C)|~product(A,D,C)|equalish(B,D)),inference(rewrite,[status(thm)],[product_right_cancellation]),[]).
% 
% fof(e_1_is_not_e_2,plain,(~equalish(e_1,e_2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),[]).
% 
% cnf(151364736,plain,(~equalish(e_1,e_2)),inference(rewrite,[status(thm)],[e_1_is_not_e_2]),[]).
% 
% cnf(159296872,plain,(~product(A,e_1,B)|~product(A,e_2,B)),inference(resolution,[status(thm)],[151398920,151364736]),[]).
% 
% cnf(159728320,plain,(product(e_2,e_2,e_1)|~product(e_2,e_1,e_2)),inference(resolution,[status(thm)],[159372888,159296872]),[]).
% 
% fof(element_1,plain,(group_element(e_1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),[]).
% 
% cnf(151356296,plain,(group_element(e_1)),inference(rewrite,[status(thm)],[element_1]),[]).
% 
% cnf(159218288,plain,(~group_element(A)|product(A,e_1,e_1)|product(A,e_1,e_2)),inference(resolution,[status(thm)],[151378384,151356296]),[]).
% 
% cnf(159235744,plain,(product(e_2,e_1,e_1)|product(e_2,e_1,e_2)),inference(resolution,[status(thm)],[159218288,151360216]),[]).
% 
% cnf(160895416,plain,(product(e_2,e_2,e_1)|product(e_2,e_1,e_1)),inference(resolution,[status(thm)],[159728320,159235744]),[]).
% 
% fof(qg3,plain,(~product(A,B,C)|~product(C,A,D)|product(D,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),[]).
% 
% cnf(151406928,plain,(~product(A,B,C)|~product(C,A,D)|product(D,A,B)),inference(rewrite,[status(thm)],[qg3]),[]).
% 
% cnf(159197112,plain,(product(e_1,e_1,e_1)|product(e_1,e_1,e_2)),inference(resolution,[status(thm)],[151378384,151356296]),[]).
% 
% cnf(162890080,plain,(~product(e_2,e_1,A)|product(A,e_1,e_1)|product(e_1,e_1,e_1)),inference(resolution,[status(thm)],[151406928,159197112]),[]).
% 
% cnf(159179456,plain,(~group_element(A)|product(e_1,A,e_1)|product(e_1,A,e_2)),inference(resolution,[status(thm)],[151378384,151356296]),[]).
% 
% cnf(159910456,plain,(product(e_1,e_2,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[151360216,159179456,159296872]),[]).
% 
% fof(product_left_cancellation,plain,(~product(A,B,C)|~product(D,B,C)|equalish(A,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),[]).
% 
% cnf(151402552,plain,(~product(A,B,C)|~product(D,B,C)|equalish(A,D)),inference(rewrite,[status(thm)],[product_left_cancellation]),[]).
% 
% cnf(159322704,plain,(~product(e_1,A,B)|~product(e_2,A,B)),inference(resolution,[status(thm)],[151402552,151364736]),[]).
% 
% cnf(159736296,plain,(product(e_2,e_2,e_1)|~product(e_1,e_2,e_2)),inference(resolution,[status(thm)],[159372888,159322704]),[]).
% 
% cnf(161127096,plain,(~product(e_1,e_1,e_1)|product(e_2,e_2,e_1)),inference(resolution,[status(thm)],[159910456,159736296]),[]).
% 
% cnf(670974768,plain,(product(e_2,e_2,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[160895416,162890080,161127096]),[]).
% 
% cnf(682016648,plain,(~product(e_2,A,e_2)|product(e_1,e_2,A)),inference(resolution,[status(thm)],[670974768,151406928]),[]).
% 
% cnf(159549424,plain,(product(e_1,e_1,e_2)|~product(e_1,e_2,e_1)),inference(resolution,[status(thm)],[159197112,159296872]),[]).
% 
% cnf(159256656,plain,(product(e_1,e_2,e_1)|product(e_1,e_2,e_2)),inference(resolution,[status(thm)],[159179456,151360216]),[]).
% 
% cnf(160087304,plain,(product(e_1,e_1,e_2)|product(e_1,e_2,e_2)),inference(resolution,[status(thm)],[159549424,159256656]),[]).
% 
% cnf(163045968,plain,(~product(e_2,e_1,A)|product(A,e_1,e_2)|product(e_1,e_1,e_2)),inference(resolution,[status(thm)],[151406928,160087304]),[]).
% 
% cnf(162883024,plain,(~product(e_1,e_1,A)|product(A,e_1,e_1)|product(e_1,e_1,e_2)),inference(resolution,[status(thm)],[151406928,159197112]),[]).
% 
% cnf(250609480,plain,(product(e_1,e_1,e_2)|~product(e_1,e_2,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,162883024,159549424]),[]).
% 
% cnf(251446312,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,250609480,162883024]),[]).
% 
% cnf(253014304,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,251446312,162883024]),[]).
% 
% cnf(254219864,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,253014304,162883024]),[]).
% 
% cnf(255424072,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,254219864,162883024]),[]).
% 
% cnf(256639512,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,255424072,162883024]),[]).
% 
% cnf(257863136,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,256639512,162883024]),[]).
% 
% cnf(259088832,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,257863136,162883024]),[]).
% 
% cnf(260325848,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,259088832,162883024]),[]).
% 
% cnf(261570072,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,260325848,162883024]),[]).
% 
% cnf(262821648,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,261570072,162883024]),[]).
% 
% cnf(264080240,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,262821648,162883024]),[]).
% 
% cnf(265346064,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,264080240,162883024]),[]).
% 
% cnf(266623168,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,265346064,162883024]),[]).
% 
% cnf(267903376,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,266623168,162883024]),[]).
% 
% cnf(269190784,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,267903376,162883024]),[]).
% 
% cnf(270489488,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,269190784,162883024]),[]).
% 
% cnf(271793432,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,270489488,162883024]),[]).
% 
% cnf(273106672,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,271793432,162883024]),[]).
% 
% cnf(274430088,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,273106672,162883024]),[]).
% 
% cnf(275753480,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,274430088,162883024]),[]).
% 
% cnf(277092424,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,275753480,162883024]),[]).
% 
% cnf(278430248,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,277092424,162883024]),[]).
% 
% cnf(279783440,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,278430248,162883024]),[]).
% 
% cnf(281139736,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,279783440,162883024]),[]).
% 
% cnf(282503272,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,281139736,162883024]),[]).
% 
% cnf(283880360,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,282503272,162883024]),[]).
% 
% cnf(285258288,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,283880360,162883024]),[]).
% 
% cnf(286647480,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,285258288,162883024]),[]).
% 
% cnf(288042872,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,286647480,162883024]),[]).
% 
% cnf(289446536,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,288042872,162883024]),[]).
% 
% cnf(290857312,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,289446536,162883024]),[]).
% 
% cnf(292275304,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,290857312,162883024]),[]).
% 
% cnf(293696560,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,292275304,162883024]),[]).
% 
% cnf(295133344,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,293696560,162883024]),[]).
% 
% cnf(296572952,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,295133344,162883024]),[]).
% 
% cnf(298023816,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,296572952,162883024]),[]).
% 
% cnf(299479360,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,298023816,162883024]),[]).
% 
% cnf(300944656,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,299479360,162883024]),[]).
% 
% cnf(302417184,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,300944656,162883024]),[]).
% 
% cnf(303892784,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,302417184,162883024]),[]).
% 
% cnf(305383760,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,303892784,162883024]),[]).
% 
% cnf(306873784,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,305383760,162883024]),[]).
% 
% cnf(308375080,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,306873784,162883024]),[]).
% 
% cnf(309883560,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,308375080,162883024]),[]).
% 
% cnf(311399232,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,309883560,162883024]),[]).
% 
% cnf(312926184,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,311399232,162883024]),[]).
% 
% cnf(314456264,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,312926184,162883024]),[]).
% 
% cnf(315993512,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,314456264,162883024]),[]).
% 
% cnf(317542080,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,315993512,162883024]),[]).
% 
% cnf(319093768,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,317542080,162883024]),[]).
% 
% cnf(320652648,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,319093768,162883024]),[]).
% 
% cnf(322222848,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,320652648,162883024]),[]).
% 
% cnf(323800504,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,322222848,162883024]),[]).
% 
% cnf(325385072,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,323800504,162883024]),[]).
% 
% cnf(326976832,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,325385072,162883024]),[]).
% 
% cnf(328575872,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,326976832,162883024]),[]).
% 
% cnf(330181968,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,328575872,162883024]),[]).
% 
% cnf(331795856,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,330181968,162883024]),[]).
% 
% cnf(333420504,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,331795856,162883024]),[]).
% 
% cnf(335048296,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,333420504,162883024]),[]).
% 
% cnf(336683272,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,335048296,162883024]),[]).
% 
% cnf(338333616,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,336683272,162883024]),[]).
% 
% cnf(339983008,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,338333616,162883024]),[]).
% 
% cnf(341643640,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,339983008,162883024]),[]).
% 
% cnf(343311792,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,341643640,162883024]),[]).
% 
% cnf(344983312,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,343311792,162883024]),[]).
% 
% cnf(346669624,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,344983312,162883024]),[]).
% 
% cnf(348359088,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,346669624,162883024]),[]).
% 
% cnf(350059848,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,348359088,162883024]),[]).
% 
% cnf(351763720,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,350059848,162883024]),[]).
% 
% cnf(353480976,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,351763720,162883024]),[]).
% 
% cnf(355203360,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,353480976,162883024]),[]).
% 
% cnf(356928784,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,355203360,162883024]),[]).
% 
% cnf(358661488,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,356928784,162883024]),[]).
% 
% cnf(360409488,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,358661488,162883024]),[]).
% 
% cnf(362156544,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,360409488,162883024]),[]).
% 
% cnf(363918984,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,362156544,162883024]),[]).
% 
% cnf(365680448,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,363918984,162883024]),[]).
% 
% cnf(367453216,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,365680448,162883024]),[]).
% 
% cnf(369237232,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,367453216,162883024]),[]).
% 
% cnf(371032624,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,369237232,162883024]),[]).
% 
% cnf(372831000,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,371032624,162883024]),[]).
% 
% cnf(374632544,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,372831000,162883024]),[]).
% 
% cnf(376441312,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,374632544,162883024]),[]).
% 
% cnf(378261352,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,376441312,162883024]),[]).
% 
% cnf(380088640,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,378261352,162883024]),[]).
% 
% cnf(381923096,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,380088640,162883024]),[]).
% 
% cnf(383764696,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,381923096,162883024]),[]).
% 
% cnf(385609520,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,383764696,162883024]),[]).
% 
% cnf(387469688,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,385609520,162883024]),[]).
% 
% cnf(389332992,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,387469688,162883024]),[]).
% 
% cnf(391203392,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,389332992,162883024]),[]).
% 
% cnf(393085208,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,391203392,162883024]),[]).
% 
% cnf(394976256,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,393085208,162883024]),[]).
% 
% cnf(396872408,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,394976256,162883024]),[]).
% 
% cnf(398771696,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,396872408,162883024]),[]).
% 
% cnf(400678184,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,398771696,162883024]),[]).
% 
% cnf(402600048,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,400678184,162883024]),[]).
% 
% cnf(404520952,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,402600048,162883024]),[]).
% 
% cnf(406457232,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,404520952,162883024]),[]).
% 
% cnf(408396616,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,406457232,162883024]),[]).
% 
% cnf(410339096,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,408396616,162883024]),[]).
% 
% cnf(412296936,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,410339096,162883024]),[]).
% 
% cnf(414257896,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,412296936,162883024]),[]).
% 
% cnf(416230136,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,414257896,162883024]),[]).
% 
% cnf(418205512,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,416230136,162883024]),[]).
% 
% cnf(420192144,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,418205512,162883024]),[]).
% 
% cnf(422186016,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,420192144,162883024]),[]).
% 
% cnf(424182984,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,422186016,162883024]),[]).
% 
% cnf(426191232,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,424182984,162883024]),[]).
% 
% cnf(428209776,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,426191232,162883024]),[]).
% 
% cnf(430232480,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,428209776,162883024]),[]).
% 
% cnf(432266408,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,430232480,162883024]),[]).
% 
% cnf(434303480,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,432266408,162883024]),[]).
% 
% cnf(436347728,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,434303480,162883024]),[]).
% 
% cnf(438403280,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,436347728,162883024]),[]).
% 
% cnf(440462448,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,438403280,162883024]),[]).
% 
% cnf(442532392,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,440462448,162883024]),[]).
% 
% cnf(444605504,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,442532392,162883024]),[]).
% 
% cnf(446689880,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,444605504,162883024]),[]).
% 
% cnf(448781424,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,446689880,162883024]),[]).
% 
% cnf(450884344,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,448781424,162883024]),[]).
% 
% cnf(452990304,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,450884344,162883024]),[]).
% 
% cnf(455103448,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,452990304,162883024]),[]).
% 
% cnf(457223848,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,455103448,162883024]),[]).
% 
% cnf(459355496,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,457223848,162883024]),[]).
% 
% cnf(461490232,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,459355496,162883024]),[]).
% 
% cnf(463636304,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,461490232,162883024]),[]).
% 
% cnf(465785944,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,463636304,162883024]),[]).
% 
% cnf(467943336,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,465785944,162883024]),[]).
% 
% cnf(470115080,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,467943336,162883024]),[]).
% 
% cnf(472285856,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,470115080,162883024]),[]).
% 
% cnf(474467928,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,472285856,162883024]),[]).
% 
% cnf(476657216,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,474467928,162883024]),[]).
% 
% cnf(478853680,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,476657216,162883024]),[]).
% 
% cnf(481061464,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,478853680,162883024]),[]).
% 
% cnf(483272336,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,481061464,162883024]),[]).
% 
% cnf(485490440,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,483272336,162883024]),[]).
% 
% cnf(487719752,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,485490440,162883024]),[]).
% 
% cnf(489952272,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,487719752,162883024]),[]).
% 
% cnf(492195976,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,489952272,162883024]),[]).
% 
% cnf(494446920,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,492195976,162883024]),[]).
% 
% cnf(496701048,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,494446920,162883024]),[]).
% 
% cnf(498970488,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,496701048,162883024]),[]).
% 
% cnf(501238976,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,498970488,162883024]),[]).
% 
% cnf(503522800,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,501238976,162883024]),[]).
% 
% cnf(505809752,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,503522800,162883024]),[]).
% 
% cnf(508103960,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,505809752,162883024]),[]).
% 
% cnf(510409360,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,508103960,162883024]),[]).
% 
% cnf(512717936,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,510409360,162883024]),[]).
% 
% cnf(515033648,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,512717936,162883024]),[]).
% 
% cnf(517360664,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,515033648,162883024]),[]).
% 
% cnf(519690784,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,517360664,162883024]),[]).
% 
% cnf(522036360,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,519690784,162883024]),[]).
% 
% cnf(524380896,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,522036360,162883024]),[]).
% 
% cnf(526736792,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,524380896,162883024]),[]).
% 
% cnf(529103880,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,526736792,162883024]),[]).
% 
% cnf(531469968,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,529103880,162883024]),[]).
% 
% cnf(533851504,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,531469968,162883024]),[]).
% 
% cnf(536236136,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,533851504,162883024]),[]).
% 
% cnf(538628008,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,536236136,162883024]),[]).
% 
% cnf(541031096,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,538628008,162883024]),[]).
% 
% cnf(543441488,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,541031096,162883024]),[]).
% 
% cnf(545862064,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,543441488,162883024]),[]).
% 
% cnf(548282760,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,545862064,162883024]),[]).
% 
% cnf(550731048,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,548282760,162883024]),[]).
% 
% cnf(553170200,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,550731048,162883024]),[]).
% 
% cnf(555616560,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,553170200,162883024]),[]).
% 
% cnf(558070136,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,555616560,162883024]),[]).
% 
% cnf(560534936,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,558070136,162883024]),[]).
% 
% cnf(563002896,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,560534936,162883024]),[]).
% 
% cnf(565482088,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,563002896,162883024]),[]).
% 
% cnf(567976728,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,565482088,162883024]),[]).
% 
% cnf(570466264,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,567976728,162883024]),[]).
% 
% cnf(572967120,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,570466264,162883024]),[]).
% 
% cnf(575475136,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,572967120,162883024]),[]).
% 
% cnf(577990304,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,575475136,162883024]),[]).
% 
% cnf(580512744,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,577990304,162883024]),[]).
% 
% cnf(583038272,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,580512744,162883024]),[]).
% 
% cnf(585579168,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,583038272,162883024]),[]).
% 
% cnf(588123216,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,585579168,162883024]),[]).
% 
% cnf(590678600,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,588123216,162883024]),[]).
% 
% cnf(593236960,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,590678600,162883024]),[]).
% 
% cnf(595802608,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,593236960,162883024]),[]).
% 
% cnf(598379496,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,595802608,162883024]),[]).
% 
% cnf(600959488,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,598379496,162883024]),[]).
% 
% cnf(603550832,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,600959488,162883024]),[]).
% 
% cnf(606149304,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,603550832,162883024]),[]).
% 
% cnf(608755032,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,606149304,162883024]),[]).
% 
% cnf(611367968,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,608755032,162883024]),[]).
% 
% cnf(613988096,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,611367968,162883024]),[]).
% 
% cnf(616615408,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,613988096,162883024]),[]).
% 
% cnf(619253984,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,616615408,162883024]),[]).
% 
% cnf(621895744,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,619253984,162883024]),[]).
% 
% cnf(624548728,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,621895744,162883024]),[]).
% 
% cnf(627208920,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,624548728,162883024]),[]).
% 
% cnf(629872248,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,627208920,162883024]),[]).
% 
% cnf(632546832,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,629872248,162883024]),[]).
% 
% cnf(635228608,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,632546832,162883024]),[]).
% 
% cnf(637917640,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,635228608,162883024]),[]).
% 
% cnf(640613784,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,637917640,162883024]),[]).
% 
% cnf(643317176,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,640613784,162883024]),[]).
% 
% cnf(646027776,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,643317176,162883024]),[]).
% 
% cnf(648745560,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,646027776,162883024]),[]).
% 
% cnf(651474576,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,648745560,162883024]),[]).
% 
% cnf(654206800,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,651474576,162883024]),[]).
% 
% cnf(656946224,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,654206800,162883024]),[]).
% 
% cnf(659700912,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,656946224,162883024]),[]).
% 
% cnf(662454736,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,659700912,162883024]),[]).
% 
% cnf(665215768,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,662454736,162883024]),[]).
% 
% cnf(667989760,plain,(~product(e_1,e_2,e_1)|product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163045968,665215768,162883024]),[]).
% 
% cnf(159578408,plain,(product(e_1,e_1,e_1)|~product(e_2,e_1,e_2)),inference(resolution,[status(thm)],[159197112,159322704]),[]).
% 
% fof(product_total_function2,plain,(~product(A,B,C)|~product(A,B,D)|equalish(C,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP135-1.002.tptp',unknown),[]).
% 
% cnf(151390632,plain,(~product(A,B,C)|~product(A,B,D)|equalish(C,D)),inference(rewrite,[status(thm)],[product_total_function2]),[]).
% 
% cnf(159270920,plain,(~product(A,B,e_1)|~product(A,B,e_2)),inference(resolution,[status(thm)],[151390632,151364736]),[]).
% 
% cnf(160280072,plain,(~product(e_2,e_1,e_2)|~product(e_1,e_1,e_2)),inference(resolution,[status(thm)],[159578408,159270920]),[]).
% 
% cnf(102382873,plain,(~product(e_2,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[682016648,667989760,160280072]),[]).
% 
% cnf(160000168,plain,(product(e_1,e_2,e_1)|~product(e_1,e_1,e_2)),inference(resolution,[status(thm)],[159256656,159296872]),[]).
% 
% cnf(159570696,plain,(product(e_1,e_1,e_2)|~product(e_2,e_1,e_1)),inference(resolution,[status(thm)],[159197112,159322704]),[]).
% 
% cnf(160263608,plain,(product(e_1,e_1,e_2)|product(e_2,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[151356296,151360216,159570696,151378384]),[]).
% 
% cnf(161590176,plain,(product(e_1,e_2,e_1)|product(e_2,e_1,e_2)),inference(resolution,[status(thm)],[160000168,160263608]),[]).
% 
% cnf(163298592,plain,(~product(e_1,e_1,A)|product(A,e_1,e_2)|product(e_2,e_1,e_2)),inference(resolution,[status(thm)],[151406928,161590176]),[]).
% 
% cnf(160426304,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[151360216,159218288,159322704]),[]).
% 
% cnf(250669448,plain,(~product(e_1,e_1,e_1)|product(e_2,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,162883024,160426304]),[]).
% 
% cnf(252261272,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,250669448,162883024]),[]).
% 
% cnf(253843064,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,252261272,162883024]),[]).
% 
% cnf(255044888,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,253843064,162883024]),[]).
% 
% cnf(256257928,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,255044888,162883024]),[]).
% 
% cnf(257475064,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,256257928,162883024]),[]).
% 
% cnf(258698376,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,257475064,162883024]),[]).
% 
% cnf(259937048,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,258698376,162883024]),[]).
% 
% cnf(261174784,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,259937048,162883024]),[]).
% 
% cnf(262423848,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,261174784,162883024]),[]).
% 
% cnf(263680184,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,262423848,162883024]),[]).
% 
% cnf(264943576,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,263680184,162883024]),[]).
% 
% cnf(266218304,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,264943576,162883024]),[]).
% 
% cnf(267496112,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,266218304,162883024]),[]).
% 
% cnf(268781120,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,267496112,162883024]),[]).
% 
% cnf(270077424,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,268781120,162883024]),[]).
% 
% cnf(271378888,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,270077424,162883024]),[]).
% 
% cnf(272689808,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,271378888,162883024]),[]).
% 
% cnf(274010800,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,272689808,162883024]),[]).
% 
% cnf(275331784,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,274010800,162883024]),[]).
% 
% cnf(276668360,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,275331784,162883024]),[]).
% 
% cnf(278003784,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,276668360,162883024]),[]).
% 
% cnf(279354544,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,278003784,162883024]),[]).
% 
% cnf(280708472,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,279354544,162883024]),[]).
% 
% cnf(282069576,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,280708472,162883024]),[]).
% 
% cnf(283444048,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,282069576,162883024]),[]).
% 
% cnf(284819824,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,283444048,162883024]),[]).
% 
% cnf(286202488,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,284819824,162883024]),[]).
% 
% cnf(287599592,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,286202488,162883024]),[]).
% 
% cnf(289000840,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,287599592,162883024]),[]).
% 
% cnf(290409248,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,289000840,162883024]),[]).
% 
% cnf(291820752,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,290409248,162883024]),[]).
% 
% cnf(293243560,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,291820752,162883024]),[]).
% 
% cnf(294678048,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,293243560,162883024]),[]).
% 
% cnf(296115288,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,294678048,162883024]),[]).
% 
% cnf(297559664,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,296115288,162883024]),[]).
% 
% cnf(299011264,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,297559664,162883024]),[]).
% 
% cnf(300475696,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,299011264,162883024]),[]).
% 
% cnf(301949904,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,300475696,162883024]),[]).
% 
% cnf(303423104,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,301949904,162883024]),[]).
% 
% cnf(304907584,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,303423104,162883024]),[]).
% 
% cnf(306399304,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,304907584,162883024]),[]).
% 
% cnf(307894128,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,306399304,162883024]),[]).
% 
% cnf(309404312,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,307894128,162883024]),[]).
% 
% cnf(310913480,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,309404312,162883024]),[]).
% 
% cnf(312438032,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,310913480,162883024]),[]).
% 
% cnf(313965696,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,312438032,162883024]),[]).
% 
% cnf(315500560,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,313965696,162883024]),[]).
% 
% cnf(317046712,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,315500560,162883024]),[]).
% 
% cnf(318596016,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,317046712,162883024]),[]).
% 
% cnf(320152496,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,318596016,162883024]),[]).
% 
% cnf(321720288,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,320152496,162883024]),[]).
% 
% cnf(323295536,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,321720288,162883024]),[]).
% 
% cnf(324877728,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,323295536,162883024]),[]).
% 
% cnf(326467080,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,324877728,162883024]),[]).
% 
% cnf(328063656,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,326467080,162883024]),[]).
% 
% cnf(329667416,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,328063656,162883024]),[]).
% 
% cnf(331278384,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,329667416,162883024]),[]).
% 
% cnf(332901136,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,331278384,162883024]),[]).
% 
% cnf(334526520,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,332901136,162883024]),[]).
% 
% cnf(336159120,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,334526520,162883024]),[]).
% 
% cnf(337802976,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,336159120,162883024]),[]).
% 
% cnf(339454056,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,337802976,162883024]),[]).
% 
% cnf(341112296,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,339454056,162883024]),[]).
% 
% cnf(342773672,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,341112296,162883024]),[]).
% 
% cnf(344447136,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,342773672,162883024]),[]).
% 
% cnf(346131072,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,344447136,162883024]),[]).
% 
% cnf(347814048,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,346131072,162883024]),[]).
% 
% cnf(349508320,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,347814048,162883024]),[]).
% 
% cnf(351213864,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,349508320,162883024]),[]).
% 
% cnf(352928712,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,351213864,162883024]),[]).
% 
% cnf(354648704,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,352928712,162883024]),[]).
% 
% cnf(356371744,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,354648704,162883024]),[]).
% 
% cnf(358106072,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,356371744,162883024]),[]).
% 
% cnf(359847648,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,358106072,162883024]),[]).
% 
% cnf(361592312,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,359847648,162883024]),[]).
% 
% cnf(363352328,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,361592312,162883024]),[]).
% 
% cnf(365111400,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,363352328,162883024]),[]).
% 
% cnf(366881776,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,365111400,162883024]),[]).
% 
% cnf(368663392,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,366881776,162883024]),[]).
% 
% cnf(370456352,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,368663392,162883024]),[]).
% 
% cnf(372252360,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,370456352,162883024]),[]).
% 
% cnf(374051488,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,372252360,162883024]),[]).
% 
% cnf(375857856,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,374051488,162883024]),[]).
% 
% cnf(377675512,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,375857856,162883024]),[]).
% 
% cnf(379500368,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,377675512,162883024]),[]).
% 
% cnf(381328344,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,379500368,162883024]),[]).
% 
% cnf(383171656,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,381328344,162883024]),[]).
% 
% cnf(385014056,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,383171656,162883024]),[]).
% 
% cnf(386871816,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,385014056,162883024]),[]).
% 
% cnf(388732696,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,386871816,162883024]),[]).
% 
% cnf(390596648,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,388732696,162883024]),[]).
% 
% cnf(392476032,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,390596648,162883024]),[]).
% 
% cnf(394364704,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,392476032,162883024]),[]).
% 
% cnf(396262544,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,394364704,162883024]),[]).
% 
% cnf(398159432,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,396262544,162883024]),[]).
% 
% cnf(400063512,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,398159432,162883024]),[]).
% 
% cnf(401978896,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,400063512,162883024]),[]).
% 
% cnf(403901472,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,401978896,162883024]),[]).
% 
% cnf(405835352,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,403901472,162883024]),[]).
% 
% cnf(407768248,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,405835352,162883024]),[]).
% 
% cnf(409712432,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,407768248,162883024]),[]).
% 
% cnf(411667856,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,409712432,162883024]),[]).
% 
% cnf(413626432,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,411667856,162883024]),[]).
% 
% cnf(415596272,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,413626432,162883024]),[]).
% 
% cnf(417569232,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,415596272,162883024]),[]).
% 
% cnf(419549392,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,417569232,162883024]),[]).
% 
% cnf(421540848,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,419549392,162883024]),[]).
% 
% cnf(423539520,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,421540848,162883024]),[]).
% 
% cnf(425541280,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,423539520,162883024]),[]).
% 
% cnf(427558440,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,425541280,162883024]),[]).
% 
% cnf(429577704,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,427558440,162883024]),[]).
% 
% cnf(431609248,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,429577704,162883024]),[]).
% 
% cnf(433643920,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,431609248,162883024]),[]).
% 
% cnf(435685776,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,433643920,162883024]),[]).
% 
% cnf(437738912,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,435685776,162883024]),[]).
% 
% cnf(439795688,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,437738912,162883024]),[]).
% 
% cnf(441863232,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,439795688,162883024]),[]).
% 
% cnf(443933920,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,441863232,162883024]),[]).
% 
% cnf(446015904,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,443933920,162883024]),[]).
% 
% cnf(448105064,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,446015904,162883024]),[]).
% 
% cnf(450201472,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,448105064,162883024]),[]).
% 
% cnf(452309144,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,450201472,162883024]),[]).
% 
% cnf(454419888,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,452309144,162883024]),[]).
% 
% cnf(456537856,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,454419888,162883024]),[]).
% 
% cnf(458667128,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,456537856,162883024]),[]).
% 
% cnf(460799472,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,458667128,162883024]),[]).
% 
% cnf(462939072,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,460799472,162883024]),[]).
% 
% cnf(465089864,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,462939072,162883024]),[]).
% 
% cnf(467245376,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,465089864,162883024]),[]).
% 
% cnf(469414704,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,467245376,162883024]),[]).
% 
% cnf(471583080,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,469414704,162883024]),[]).
% 
% cnf(473758664,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,471583080,162883024]),[]).
% 
% cnf(475949648,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,473758664,162883024]),[]).
% 
% cnf(478143720,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,475949648,162883024]),[]).
% 
% cnf(480349088,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,478143720,162883024]),[]).
% 
% cnf(482553472,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,480349088,162883024]),[]).
% 
% cnf(484769160,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,482553472,162883024]),[]).
% 
% cnf(486996104,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,484769160,162883024]),[]).
% 
% cnf(489230288,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,486996104,162883024]),[]).
% 
% cnf(491471608,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,489230288,162883024]),[]).
% 
% cnf(493716056,plain,(product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163298592,491471608,162883024]),[]).
% 
% cnf(670925384,plain,(product(e_2,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[493716056,159235744,162890080,160426304]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[102382873,670925384]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------