TSTP Solution File: ALG138+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : ALG138+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 12:46:08 EDT 2022

% Result   : Unsatisfiable 2.54s 2.69s
% Output   : Refutation 2.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   35
% Syntax   : Number of clauses     :   93 (  57 unt;  24 nHn;  92 RR)
%            Number of literals    :  148 ( 147 equ;  67 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    op(e0,e0) != op(e1,e0),
    file('ALG138+1.p',unknown),
    [] ).

cnf(2,plain,
    op(e1,e0) != op(e0,e0),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1])]),
    [iquote('copy,1,flip.1')] ).

cnf(21,axiom,
    op(e1,e1) != op(e3,e1),
    file('ALG138+1.p',unknown),
    [] ).

cnf(22,plain,
    op(e3,e1) != op(e1,e1),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[21])]),
    [iquote('copy,21,flip.1')] ).

cnf(25,axiom,
    op(e0,e2) != op(e1,e2),
    file('ALG138+1.p',unknown),
    [] ).

cnf(26,plain,
    op(e1,e2) != op(e0,e2),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[25])]),
    [iquote('copy,25,flip.1')] ).

cnf(27,axiom,
    op(e0,e2) != op(e2,e2),
    file('ALG138+1.p',unknown),
    [] ).

cnf(28,plain,
    op(e2,e2) != op(e0,e2),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[27])]),
    [iquote('copy,27,flip.1')] ).

cnf(29,axiom,
    op(e0,e2) != op(e3,e2),
    file('ALG138+1.p',unknown),
    [] ).

cnf(30,plain,
    op(e3,e2) != op(e0,e2),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[29])]),
    [iquote('copy,29,flip.1')] ).

cnf(31,axiom,
    op(e1,e2) != op(e2,e2),
    file('ALG138+1.p',unknown),
    [] ).

cnf(32,plain,
    op(e2,e2) != op(e1,e2),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[31])]),
    [iquote('copy,31,flip.1')] ).

cnf(41,axiom,
    op(e0,e3) != op(e3,e3),
    file('ALG138+1.p',unknown),
    [] ).

cnf(42,plain,
    op(e3,e3) != op(e0,e3),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[41])]),
    [iquote('copy,41,flip.1')] ).

cnf(51,axiom,
    op(e0,e0) != op(e0,e2),
    file('ALG138+1.p',unknown),
    [] ).

cnf(52,plain,
    op(e0,e2) != op(e0,e0),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[51])]),
    [iquote('copy,51,flip.1')] ).

cnf(53,axiom,
    op(e0,e0) != op(e0,e3),
    file('ALG138+1.p',unknown),
    [] ).

cnf(54,plain,
    op(e0,e3) != op(e0,e0),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[53])]),
    [iquote('copy,53,flip.1')] ).

cnf(59,axiom,
    op(e0,e2) != op(e0,e3),
    file('ALG138+1.p',unknown),
    [] ).

cnf(60,plain,
    op(e0,e3) != op(e0,e2),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[59])]),
    [iquote('copy,59,flip.1')] ).

cnf(67,axiom,
    op(e1,e1) != op(e1,e2),
    file('ALG138+1.p',unknown),
    [] ).

cnf(68,plain,
    op(e1,e2) != op(e1,e1),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[67])]),
    [iquote('copy,67,flip.1')] ).

cnf(69,axiom,
    op(e1,e1) != op(e1,e3),
    file('ALG138+1.p',unknown),
    [] ).

cnf(70,plain,
    op(e1,e3) != op(e1,e1),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[69])]),
    [iquote('copy,69,flip.1')] ).

cnf(83,axiom,
    op(e2,e2) != op(e2,e3),
    file('ALG138+1.p',unknown),
    [] ).

cnf(84,plain,
    op(e2,e3) != op(e2,e2),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[83])]),
    [iquote('copy,83,flip.1')] ).

cnf(87,axiom,
    op(e3,e0) != op(e3,e2),
    file('ALG138+1.p',unknown),
    [] ).

cnf(88,plain,
    op(e3,e2) != op(e3,e0),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[87])]),
    [iquote('copy,87,flip.1')] ).

cnf(97,axiom,
    e0 != e1,
    file('ALG138+1.p',unknown),
    [] ).

cnf(98,plain,
    e1 != e0,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[97])]),
    [iquote('copy,97,flip.1')] ).

cnf(99,axiom,
    e0 != e2,
    file('ALG138+1.p',unknown),
    [] ).

cnf(100,plain,
    e2 != e0,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[99])]),
    [iquote('copy,99,flip.1')] ).

cnf(103,axiom,
    e1 != e2,
    file('ALG138+1.p',unknown),
    [] ).

cnf(104,plain,
    e2 != e1,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[103])]),
    [iquote('copy,103,flip.1')] ).

cnf(105,axiom,
    e1 != e3,
    file('ALG138+1.p',unknown),
    [] ).

cnf(106,plain,
    e3 != e1,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[105])]),
    [iquote('copy,105,flip.1')] ).

cnf(107,axiom,
    e2 != e3,
    file('ALG138+1.p',unknown),
    [] ).

cnf(108,plain,
    e3 != e2,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[107])]),
    [iquote('copy,107,flip.1')] ).

cnf(117,axiom,
    ( e0 != op(e1,e2)
    | e3 != op(op(e1,e2),e2) ),
    file('ALG138+1.p',unknown),
    [] ).

cnf(118,plain,
    ( op(e1,e2) != e0
    | op(op(e1,e2),e2) != e3 ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[117])])]),
    [iquote('copy,117,flip.1,flip.2')] ).

cnf(137,axiom,
    ( e2 != op(e0,e3)
    | e1 != op(op(e0,e3),e3) ),
    file('ALG138+1.p',unknown),
    [] ).

cnf(138,plain,
    ( op(e0,e3) != e2
    | op(op(e0,e3),e3) != e1 ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[137])])]),
    [iquote('copy,137,flip.1,flip.2')] ).

cnf(157,axiom,
    A = A,
    file('ALG138+1.p',unknown),
    [] ).

cnf(160,axiom,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e3 ),
    file('ALG138+1.p',unknown),
    [] ).

cnf(161,axiom,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    file('ALG138+1.p',unknown),
    [] ).

cnf(164,axiom,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e3 ),
    file('ALG138+1.p',unknown),
    [] ).

cnf(182,axiom,
    ( op(e1,e0) = e0
    | op(e1,e1) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0 ),
    file('ALG138+1.p',unknown),
    [] ).

cnf(191,axiom,
    ( op(e0,e2) = e0
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0 ),
    file('ALG138+1.p',unknown),
    [] ).

cnf(193,axiom,
    ( op(e0,e2) = e1
    | op(e1,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1 ),
    file('ALG138+1.p',unknown),
    [] ).

cnf(200,axiom,
    ( op(e3,e0) = e1
    | op(e3,e1) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1 ),
    file('ALG138+1.p',unknown),
    [] ).

cnf(201,axiom,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    file('ALG138+1.p',unknown),
    [] ).

cnf(203,axiom,
    ( op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e2,e3) = e2
    | op(e3,e3) = e2 ),
    file('ALG138+1.p',unknown),
    [] ).

cnf(207,axiom,
    op(e0,e0) = e0,
    file('ALG138+1.p',unknown),
    [] ).

cnf(209,axiom,
    op(e1,e1) = e1,
    file('ALG138+1.p',unknown),
    [] ).

cnf(211,axiom,
    op(e2,e2) = e2,
    file('ALG138+1.p',unknown),
    [] ).

cnf(213,axiom,
    op(e3,e3) = e3,
    file('ALG138+1.p',unknown),
    [] ).

cnf(220,plain,
    op(e0,e3) != e0,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[54]),207]),
    [iquote('back_demod,54,demod,207')] ).

cnf(221,plain,
    op(e0,e2) != e0,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[52]),207]),
    [iquote('back_demod,52,demod,207')] ).

cnf(225,plain,
    op(e1,e0) != e0,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2]),207]),
    [iquote('back_demod,2,demod,207')] ).

cnf(231,plain,
    ( op(e1,e2) = e0
    | op(e1,e3) = e0 ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[182]),209]),225,98]),
    [iquote('back_demod,182,demod,209,unit_del,225,98')] ).

cnf(232,plain,
    op(e1,e3) != e1,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[70]),209]),
    [iquote('back_demod,70,demod,209')] ).

cnf(233,plain,
    op(e1,e2) != e1,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[68]),209]),
    [iquote('back_demod,68,demod,209')] ).

cnf(235,plain,
    op(e3,e1) != e1,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[22]),209]),
    [iquote('back_demod,22,demod,209')] ).

cnf(240,plain,
    ( op(e0,e2) = e1
    | op(e3,e2) = e1 ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[193]),211]),233,104]),
    [iquote('back_demod,193,demod,211,unit_del,233,104')] ).

cnf(242,plain,
    ( op(e1,e2) = e0
    | op(e3,e2) = e0 ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[191]),211]),221,100]),
    [iquote('back_demod,191,demod,211,unit_del,221,100')] ).

cnf(244,plain,
    op(e2,e3) != e2,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[84]),211]),
    [iquote('back_demod,84,demod,211')] ).

cnf(248,plain,
    op(e1,e2) != e2,
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[32]),211])]),
    [iquote('back_demod,32,demod,211,flip.1')] ).

cnf(249,plain,
    op(e0,e2) != e2,
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[28]),211])]),
    [iquote('back_demod,28,demod,211,flip.1')] ).

cnf(250,plain,
    ( op(e0,e3) = e2
    | op(e1,e3) = e2 ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[203]),213]),244,108]),
    [iquote('back_demod,203,demod,213,unit_del,244,108')] ).

cnf(252,plain,
    ( op(e0,e3) = e1
    | op(e2,e3) = e1 ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[201]),213]),232,106]),
    [iquote('back_demod,201,demod,213,unit_del,232,106')] ).

cnf(253,plain,
    ( op(e3,e0) = e1
    | op(e3,e2) = e1 ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[200]),213]),235,106]),
    [iquote('back_demod,200,demod,213,unit_del,235,106')] ).

cnf(261,plain,
    op(e0,e3) != e3,
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[42]),213])]),
    [iquote('back_demod,42,demod,213,flip.1')] ).

cnf(263,plain,
    ( op(e0,e2) = e1
    | op(e0,e2) = e3 ),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[160,221]),249]),
    [iquote('hyper,160,221,unit_del,249')] ).

cnf(264,plain,
    ( op(e0,e3) = e1
    | op(e0,e3) = e2 ),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[161,220]),261]),
    [iquote('hyper,161,220,unit_del,261')] ).

cnf(266,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e3 ),
    inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[164,233]),248]),
    [iquote('hyper,164,233,unit_del,248')] ).

cnf(281,plain,
    ( op(e3,e0) != e1
    | op(e0,e2) = e1 ),
    inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[240,88])]),
    [iquote('para_from,240.2.1,88.1.1,flip.1')] ).

cnf(300,plain,
    ( op(e0,e3) = e2
    | op(e1,e2) = e0 ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[250,231]),100]),
    [iquote('para_into,250.2.1,231.2.1,unit_del,100')] ).

cnf(319,plain,
    ( op(e0,e2) != e1
    | op(e2,e3) = e1 ),
    inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[252,60])]),
    [iquote('para_from,252.1.1,60.1.1,flip.1')] ).

cnf(324,plain,
    ( op(e3,e0) = e1
    | op(e1,e2) = e0 ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[253,242]),98]),
    [iquote('para_into,253.2.1,242.2.1,unit_del,98')] ).

cnf(330,plain,
    ( op(e0,e2) != e1
    | op(e3,e0) = e1 ),
    inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[253,30])]),
    [iquote('para_from,253.2.1,30.1.1,flip.1')] ).

cnf(361,plain,
    ( op(e0,e2) != e1
    | op(e0,e3) = e2 ),
    inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[264,60])]),
    [iquote('para_from,264.1.1,60.1.1,flip.1')] ).

cnf(375,plain,
    ( op(e0,e2) != e3
    | op(e1,e2) = e0 ),
    inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[266,26])]),
    [iquote('para_from,266.2.1,26.1.1,flip.1')] ).

cnf(415,plain,
    ( op(e1,e2) = e0
    | op(e2,e3) = e1 ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[300,252]),104]),
    [iquote('para_into,300.1.1,252.1.1,unit_del,104')] ).

cnf(469,plain,
    ( op(e2,e3) = e1
    | op(e0,e2) = e3 ),
    inference(hyper,[status(thm)],[319,263]),
    [iquote('hyper,319,263')] ).

cnf(504,plain,
    ( op(e3,e0) = e1
    | op(e0,e2) = e3 ),
    inference(hyper,[status(thm)],[330,263]),
    [iquote('hyper,330,263')] ).

cnf(592,plain,
    ( op(e0,e3) = e2
    | op(e0,e2) = e3 ),
    inference(hyper,[status(thm)],[361,263]),
    [iquote('hyper,361,263')] ).

cnf(595,plain,
    ( op(e0,e3) = e2
    | op(e3,e0) != e1 ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[361,281]),157]),
    [iquote('para_into,361.1.1,281.2.1,unit_del,157')] ).

cnf(617,plain,
    ( op(e1,e2) != e0
    | op(e0,e2) != e3 ),
    inference(factor_simp,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[375,118])]),
    [iquote('para_from,375.2.1,118.2.1.1,factor_simp')] ).

cnf(1249,plain,
    ( op(e0,e3) != e2
    | op(e2,e3) != e1
    | op(e3,e0) != e1 ),
    inference(para_from,[status(thm),theory(equality)],[595,138]),
    [iquote('para_from,595.1.1,138.2.1.1')] ).

cnf(1343,plain,
    op(e2,e3) = e1,
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[617,415,469])]),
    [iquote('hyper,617,415,469,factor_simp')] ).

cnf(1350,plain,
    op(e3,e0) = e1,
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[617,324,504])]),
    [iquote('hyper,617,324,504,factor_simp')] ).

cnf(1352,plain,
    op(e0,e3) = e2,
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[617,300,592])]),
    [iquote('hyper,617,300,592,factor_simp')] ).

cnf(1360,plain,
    $false,
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1249]),1352,1343,1350]),157,157,157]),
    [iquote('back_demod,1249,demod,1352,1343,1350,unit_del,157,157,157')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ALG138+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.14  % Command  : otter-tptp-script %s
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Jul 27 03:41:51 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 2.33/2.52  ----- Otter 3.3f, August 2004 -----
% 2.33/2.52  The process was started by sandbox2 on n009.cluster.edu,
% 2.33/2.52  Wed Jul 27 03:41:51 2022
% 2.33/2.52  The command was "./otter".  The process ID is 14644.
% 2.33/2.52  
% 2.33/2.52  set(prolog_style_variables).
% 2.33/2.52  set(auto).
% 2.33/2.52     dependent: set(auto1).
% 2.33/2.52     dependent: set(process_input).
% 2.33/2.52     dependent: clear(print_kept).
% 2.33/2.52     dependent: clear(print_new_demod).
% 2.33/2.52     dependent: clear(print_back_demod).
% 2.33/2.52     dependent: clear(print_back_sub).
% 2.33/2.52     dependent: set(control_memory).
% 2.33/2.52     dependent: assign(max_mem, 12000).
% 2.33/2.52     dependent: assign(pick_given_ratio, 4).
% 2.33/2.52     dependent: assign(stats_level, 1).
% 2.33/2.52     dependent: assign(max_seconds, 10800).
% 2.33/2.52  clear(print_given).
% 2.33/2.52  
% 2.33/2.52  formula_list(usable).
% 2.33/2.52  all A (A=A).
% 2.33/2.52  op(e0,e0)=e0|op(e0,e0)=e1|op(e0,e0)=e2|op(e0,e0)=e3.
% 2.33/2.52  op(e0,e1)=e0|op(e0,e1)=e1|op(e0,e1)=e2|op(e0,e1)=e3.
% 2.33/2.52  op(e0,e2)=e0|op(e0,e2)=e1|op(e0,e2)=e2|op(e0,e2)=e3.
% 2.33/2.52  op(e0,e3)=e0|op(e0,e3)=e1|op(e0,e3)=e2|op(e0,e3)=e3.
% 2.33/2.52  op(e1,e0)=e0|op(e1,e0)=e1|op(e1,e0)=e2|op(e1,e0)=e3.
% 2.33/2.52  op(e1,e1)=e0|op(e1,e1)=e1|op(e1,e1)=e2|op(e1,e1)=e3.
% 2.33/2.52  op(e1,e2)=e0|op(e1,e2)=e1|op(e1,e2)=e2|op(e1,e2)=e3.
% 2.33/2.52  op(e1,e3)=e0|op(e1,e3)=e1|op(e1,e3)=e2|op(e1,e3)=e3.
% 2.33/2.52  op(e2,e0)=e0|op(e2,e0)=e1|op(e2,e0)=e2|op(e2,e0)=e3.
% 2.33/2.52  op(e2,e1)=e0|op(e2,e1)=e1|op(e2,e1)=e2|op(e2,e1)=e3.
% 2.33/2.52  op(e2,e2)=e0|op(e2,e2)=e1|op(e2,e2)=e2|op(e2,e2)=e3.
% 2.33/2.52  op(e2,e3)=e0|op(e2,e3)=e1|op(e2,e3)=e2|op(e2,e3)=e3.
% 2.33/2.52  op(e3,e0)=e0|op(e3,e0)=e1|op(e3,e0)=e2|op(e3,e0)=e3.
% 2.33/2.52  op(e3,e1)=e0|op(e3,e1)=e1|op(e3,e1)=e2|op(e3,e1)=e3.
% 2.33/2.52  op(e3,e2)=e0|op(e3,e2)=e1|op(e3,e2)=e2|op(e3,e2)=e3.
% 2.33/2.52  op(e3,e3)=e0|op(e3,e3)=e1|op(e3,e3)=e2|op(e3,e3)=e3.
% 2.33/2.52  op(e0,e0)=e0|op(e0,e1)=e0|op(e0,e2)=e0|op(e0,e3)=e0.
% 2.33/2.52  op(e0,e0)=e0|op(e1,e0)=e0|op(e2,e0)=e0|op(e3,e0)=e0.
% 2.33/2.52  op(e0,e0)=e1|op(e0,e1)=e1|op(e0,e2)=e1|op(e0,e3)=e1.
% 2.33/2.52  op(e0,e0)=e1|op(e1,e0)=e1|op(e2,e0)=e1|op(e3,e0)=e1.
% 2.33/2.52  op(e0,e0)=e2|op(e0,e1)=e2|op(e0,e2)=e2|op(e0,e3)=e2.
% 2.33/2.52  op(e0,e0)=e2|op(e1,e0)=e2|op(e2,e0)=e2|op(e3,e0)=e2.
% 2.33/2.52  op(e0,e0)=e3|op(e0,e1)=e3|op(e0,e2)=e3|op(e0,e3)=e3.
% 2.33/2.52  op(e0,e0)=e3|op(e1,e0)=e3|op(e2,e0)=e3|op(e3,e0)=e3.
% 2.33/2.52  op(e1,e0)=e0|op(e1,e1)=e0|op(e1,e2)=e0|op(e1,e3)=e0.
% 2.33/2.52  op(e0,e1)=e0|op(e1,e1)=e0|op(e2,e1)=e0|op(e3,e1)=e0.
% 2.33/2.52  op(e1,e0)=e1|op(e1,e1)=e1|op(e1,e2)=e1|op(e1,e3)=e1.
% 2.33/2.52  op(e0,e1)=e1|op(e1,e1)=e1|op(e2,e1)=e1|op(e3,e1)=e1.
% 2.33/2.52  op(e1,e0)=e2|op(e1,e1)=e2|op(e1,e2)=e2|op(e1,e3)=e2.
% 2.33/2.52  op(e0,e1)=e2|op(e1,e1)=e2|op(e2,e1)=e2|op(e3,e1)=e2.
% 2.33/2.52  op(e1,e0)=e3|op(e1,e1)=e3|op(e1,e2)=e3|op(e1,e3)=e3.
% 2.33/2.52  op(e0,e1)=e3|op(e1,e1)=e3|op(e2,e1)=e3|op(e3,e1)=e3.
% 2.33/2.52  op(e2,e0)=e0|op(e2,e1)=e0|op(e2,e2)=e0|op(e2,e3)=e0.
% 2.33/2.52  op(e0,e2)=e0|op(e1,e2)=e0|op(e2,e2)=e0|op(e3,e2)=e0.
% 2.33/2.52  op(e2,e0)=e1|op(e2,e1)=e1|op(e2,e2)=e1|op(e2,e3)=e1.
% 2.33/2.52  op(e0,e2)=e1|op(e1,e2)=e1|op(e2,e2)=e1|op(e3,e2)=e1.
% 2.33/2.52  op(e2,e0)=e2|op(e2,e1)=e2|op(e2,e2)=e2|op(e2,e3)=e2.
% 2.33/2.52  op(e0,e2)=e2|op(e1,e2)=e2|op(e2,e2)=e2|op(e3,e2)=e2.
% 2.33/2.52  op(e2,e0)=e3|op(e2,e1)=e3|op(e2,e2)=e3|op(e2,e3)=e3.
% 2.33/2.52  op(e0,e2)=e3|op(e1,e2)=e3|op(e2,e2)=e3|op(e3,e2)=e3.
% 2.33/2.52  op(e3,e0)=e0|op(e3,e1)=e0|op(e3,e2)=e0|op(e3,e3)=e0.
% 2.33/2.52  op(e0,e3)=e0|op(e1,e3)=e0|op(e2,e3)=e0|op(e3,e3)=e0.
% 2.33/2.52  op(e3,e0)=e1|op(e3,e1)=e1|op(e3,e2)=e1|op(e3,e3)=e1.
% 2.33/2.52  op(e0,e3)=e1|op(e1,e3)=e1|op(e2,e3)=e1|op(e3,e3)=e1.
% 2.33/2.52  op(e3,e0)=e2|op(e3,e1)=e2|op(e3,e2)=e2|op(e3,e3)=e2.
% 2.33/2.52  op(e0,e3)=e2|op(e1,e3)=e2|op(e2,e3)=e2|op(e3,e3)=e2.
% 2.33/2.52  op(e3,e0)=e3|op(e3,e1)=e3|op(e3,e2)=e3|op(e3,e3)=e3.
% 2.33/2.52  op(e0,e3)=e3|op(e1,e3)=e3|op(e2,e3)=e3|op(e3,e3)=e3.
% 2.33/2.52  op(e0,e0)!=op(e1,e0).
% 2.33/2.52  op(e0,e0)!=op(e2,e0).
% 2.33/2.52  op(e0,e0)!=op(e3,e0).
% 2.33/2.52  op(e1,e0)!=op(e2,e0).
% 2.33/2.52  op(e1,e0)!=op(e3,e0).
% 2.33/2.52  op(e2,e0)!=op(e3,e0).
% 2.33/2.52  op(e0,e1)!=op(e1,e1).
% 2.33/2.52  op(e0,e1)!=op(e2,e1).
% 2.33/2.52  op(e0,e1)!=op(e3,e1).
% 2.33/2.52  op(e1,e1)!=op(e2,e1).
% 2.33/2.52  op(e1,e1)!=op(e3,e1).
% 2.33/2.52  op(e2,e1)!=op(e3,e1).
% 2.33/2.52  op(e0,e2)!=op(e1,e2).
% 2.33/2.52  op(e0,e2)!=op(e2,e2).
% 2.33/2.52  op(e0,e2)!=op(e3,e2).
% 2.33/2.52  op(e1,e2)!=op(e2,e2).
% 2.33/2.52  op(e1,e2)!=op(e3,e2).
% 2.33/2.52  op(e2,e2)!=op(e3,e2).
% 2.33/2.52  op(e0,e3)!=op(e1,e3).
% 2.33/2.52  op(e0,e3)!=op(e2,e3).
% 2.33/2.52  op(e0,e3)!=op(e3,e3).
% 2.33/2.52  op(e1,e3)!=op(e2,e3).
% 2.33/2.52  op(e1,e3)!=op(e3,e3).
% 2.33/2.52  op(e2,e3)!=op(e3,e3).
% 2.33/2.52  op(e0,e0)!=op(e0,e1).
% 2.33/2.52  op(e0,e0)!=op(e0,e2).
% 2.33/2.52  op(e0,e0)!=op(e0,e3).
% 2.33/2.52  op(e0,e1)!=op(e0,e2).
% 2.33/2.52  op(e0,e1)!=op(e0,e3).
% 2.33/2.52  op(e0,e2)!=op(e0,e3).
% 2.33/2.52  op(e1,e0)!=op(e1,e1).
% 2.33/2.52  op(e1,e0)!=op(e1,e2).
% 2.33/2.52  op(e1,e0)!=op(e1,e3).
% 2.33/2.52  op(e1,e1)!=op(e1,e2).
% 2.33/2.52  op(e1,e1)!=op(e1,e3).
% 2.33/2.52  op(e1,e2)!=op(e1,e3).
% 2.33/2.52  op(e2,e0)!=op(e2,e1).
% 2.33/2.52  op(e2,e0)!=op(e2,e2).
% 2.33/2.52  op(e2,e0)!=op(e2,e3).
% 2.33/2.52  op(e2,e1)!=op(e2,e2).
% 2.33/2.52  op(e2,e1)!=op(e2,e3).
% 2.33/2.52  op(e2,e2)!=op(e2,e3).
% 2.33/2.52  op(e3,e0)!=op(e3,e1).
% 2.33/2.52  op(e3,e0)!=op(e3,e2).
% 2.33/2.52  op(e3,e0)!=op(e3,e3).
% 2.33/2.52  op(e3,e1)!=op(e3,e2).
% 2.33/2.52  op(e3,e1)!=op(e3,e3).
% 2.33/2.52  op(e3,e2)!=op(e3,e3).
% 2.33/2.52  e0!=e1.
% 2.33/2.52  e0!=e2.
% 2.33/2.52  e0!=e3.
% 2.33/2.52  e1!=e2.
% 2.33/2.52  e1!=e3.
% 2.33/2.52  e2!=e3.
% 2.33/2.52  op(e0,e0)=e0.
% 2.33/2.52  op(e1,e1)=e1.
% 2.33/2.52  op(e2,e2)=e2.
% 2.33/2.52  op(e3,e3)=e3.
% 2.33/2.52  -(e0=op(e2,e3)&e1=op(op(e2,e3),e3)).
% 2.33/2.52  -(e0=op(e3,e2)&e1=op(op(e3,e2),e2)).
% 2.33/2.52  -(e0=op(e1,e3)&e2=op(op(e1,e3),e3)).
% 2.33/2.52  -(e0=op(e3,e1)&e2=op(op(e3,e1),e1)).
% 2.33/2.52  -(e0=op(e1,e2)&e3=op(op(e1,e2),e2)).
% 2.33/2.52  -(e0=op(e2,e1)&e3=op(op(e2,e1),e1)).
% 2.33/2.52  -(e1=op(e2,e3)&e0=op(op(e2,e3),e3)).
% 2.33/2.52  -(e1=op(e3,e2)&e0=op(op(e3,e2),e2)).
% 2.33/2.52  -(e1=op(e0,e3)&e2=op(op(e0,e3),e3)).
% 2.33/2.52  -(e1=op(e3,e0)&e2=op(op(e3,e0),e0)).
% 2.33/2.52  -(e1=op(e0,e2)&e3=op(op(e0,e2),e2)).
% 2.33/2.52  -(e1=op(e2,e0)&e3=op(op(e2,e0),e0)).
% 2.33/2.52  -(e2=op(e1,e3)&e0=op(op(e1,e3),e3)).
% 2.33/2.52  -(e2=op(e3,e1)&e0=op(op(e3,e1),e1)).
% 2.33/2.52  -(e2=op(e0,e3)&e1=op(op(e0,e3),e3)).
% 2.33/2.52  -(e2=op(e3,e0)&e1=op(op(e3,e0),e0)).
% 2.33/2.52  -(e2=op(e0,e1)&e3=op(op(e0,e1),e1)).
% 2.33/2.52  -(e2=op(e1,e0)&e3=op(op(e1,e0),e0)).
% 2.33/2.52  -(e3=op(e1,e2)&e0=op(op(e1,e2),e2)).
% 2.33/2.52  -(e3=op(e2,e1)&e0=op(op(e2,e1),e1)).
% 2.33/2.52  -(e3=op(e0,e2)&e1=op(op(e0,e2),e2)).
% 2.33/2.52  -(e3=op(e2,e0)&e1=op(op(e2,e0),e0)).
% 2.33/2.52  -(e3=op(e0,e1)&e2=op(op(e0,e1),e1)).
% 2.33/2.52  -(e3=op(e1,e0)&e2=op(op(e1,e0),e0)).
% 2.33/2.52  end_of_list.
% 2.33/2.52  
% 2.33/2.52  -------> usable clausifies to:
% 2.33/2.52  
% 2.33/2.52  list(usable).
% 2.33/2.52  0 [] A=A.
% 2.33/2.52  0 [] op(e0,e0)=e0|op(e0,e0)=e1|op(e0,e0)=e2|op(e0,e0)=e3.
% 2.33/2.52  0 [] op(e0,e1)=e0|op(e0,e1)=e1|op(e0,e1)=e2|op(e0,e1)=e3.
% 2.33/2.52  0 [] op(e0,e2)=e0|op(e0,e2)=e1|op(e0,e2)=e2|op(e0,e2)=e3.
% 2.33/2.52  0 [] op(e0,e3)=e0|op(e0,e3)=e1|op(e0,e3)=e2|op(e0,e3)=e3.
% 2.33/2.52  0 [] op(e1,e0)=e0|op(e1,e0)=e1|op(e1,e0)=e2|op(e1,e0)=e3.
% 2.33/2.52  0 [] op(e1,e1)=e0|op(e1,e1)=e1|op(e1,e1)=e2|op(e1,e1)=e3.
% 2.33/2.52  0 [] op(e1,e2)=e0|op(e1,e2)=e1|op(e1,e2)=e2|op(e1,e2)=e3.
% 2.33/2.52  0 [] op(e1,e3)=e0|op(e1,e3)=e1|op(e1,e3)=e2|op(e1,e3)=e3.
% 2.33/2.52  0 [] op(e2,e0)=e0|op(e2,e0)=e1|op(e2,e0)=e2|op(e2,e0)=e3.
% 2.33/2.52  0 [] op(e2,e1)=e0|op(e2,e1)=e1|op(e2,e1)=e2|op(e2,e1)=e3.
% 2.33/2.52  0 [] op(e2,e2)=e0|op(e2,e2)=e1|op(e2,e2)=e2|op(e2,e2)=e3.
% 2.33/2.52  0 [] op(e2,e3)=e0|op(e2,e3)=e1|op(e2,e3)=e2|op(e2,e3)=e3.
% 2.33/2.52  0 [] op(e3,e0)=e0|op(e3,e0)=e1|op(e3,e0)=e2|op(e3,e0)=e3.
% 2.33/2.52  0 [] op(e3,e1)=e0|op(e3,e1)=e1|op(e3,e1)=e2|op(e3,e1)=e3.
% 2.33/2.52  0 [] op(e3,e2)=e0|op(e3,e2)=e1|op(e3,e2)=e2|op(e3,e2)=e3.
% 2.33/2.52  0 [] op(e3,e3)=e0|op(e3,e3)=e1|op(e3,e3)=e2|op(e3,e3)=e3.
% 2.33/2.52  0 [] op(e0,e0)=e0|op(e0,e1)=e0|op(e0,e2)=e0|op(e0,e3)=e0.
% 2.33/2.52  0 [] op(e0,e0)=e0|op(e1,e0)=e0|op(e2,e0)=e0|op(e3,e0)=e0.
% 2.33/2.52  0 [] op(e0,e0)=e1|op(e0,e1)=e1|op(e0,e2)=e1|op(e0,e3)=e1.
% 2.33/2.52  0 [] op(e0,e0)=e1|op(e1,e0)=e1|op(e2,e0)=e1|op(e3,e0)=e1.
% 2.33/2.52  0 [] op(e0,e0)=e2|op(e0,e1)=e2|op(e0,e2)=e2|op(e0,e3)=e2.
% 2.33/2.52  0 [] op(e0,e0)=e2|op(e1,e0)=e2|op(e2,e0)=e2|op(e3,e0)=e2.
% 2.33/2.52  0 [] op(e0,e0)=e3|op(e0,e1)=e3|op(e0,e2)=e3|op(e0,e3)=e3.
% 2.33/2.52  0 [] op(e0,e0)=e3|op(e1,e0)=e3|op(e2,e0)=e3|op(e3,e0)=e3.
% 2.33/2.52  0 [] op(e1,e0)=e0|op(e1,e1)=e0|op(e1,e2)=e0|op(e1,e3)=e0.
% 2.33/2.52  0 [] op(e0,e1)=e0|op(e1,e1)=e0|op(e2,e1)=e0|op(e3,e1)=e0.
% 2.33/2.52  0 [] op(e1,e0)=e1|op(e1,e1)=e1|op(e1,e2)=e1|op(e1,e3)=e1.
% 2.33/2.52  0 [] op(e0,e1)=e1|op(e1,e1)=e1|op(e2,e1)=e1|op(e3,e1)=e1.
% 2.33/2.52  0 [] op(e1,e0)=e2|op(e1,e1)=e2|op(e1,e2)=e2|op(e1,e3)=e2.
% 2.33/2.52  0 [] op(e0,e1)=e2|op(e1,e1)=e2|op(e2,e1)=e2|op(e3,e1)=e2.
% 2.33/2.52  0 [] op(e1,e0)=e3|op(e1,e1)=e3|op(e1,e2)=e3|op(e1,e3)=e3.
% 2.33/2.52  0 [] op(e0,e1)=e3|op(e1,e1)=e3|op(e2,e1)=e3|op(e3,e1)=e3.
% 2.33/2.52  0 [] op(e2,e0)=e0|op(e2,e1)=e0|op(e2,e2)=e0|op(e2,e3)=e0.
% 2.33/2.52  0 [] op(e0,e2)=e0|op(e1,e2)=e0|op(e2,e2)=e0|op(e3,e2)=e0.
% 2.33/2.52  0 [] op(e2,e0)=e1|op(e2,e1)=e1|op(e2,e2)=e1|op(e2,e3)=e1.
% 2.33/2.52  0 [] op(e0,e2)=e1|op(e1,e2)=e1|op(e2,e2)=e1|op(e3,e2)=e1.
% 2.33/2.52  0 [] op(e2,e0)=e2|op(e2,e1)=e2|op(e2,e2)=e2|op(e2,e3)=e2.
% 2.33/2.52  0 [] op(e0,e2)=e2|op(e1,e2)=e2|op(e2,e2)=e2|op(e3,e2)=e2.
% 2.33/2.52  0 [] op(e2,e0)=e3|op(e2,e1)=e3|op(e2,e2)=e3|op(e2,e3)=e3.
% 2.33/2.52  0 [] op(e0,e2)=e3|op(e1,e2)=e3|op(e2,e2)=e3|op(e3,e2)=e3.
% 2.33/2.52  0 [] op(e3,e0)=e0|op(e3,e1)=e0|op(e3,e2)=e0|op(e3,e3)=e0.
% 2.33/2.52  0 [] op(e0,e3)=e0|op(e1,e3)=e0|op(e2,e3)=e0|op(e3,e3)=e0.
% 2.33/2.52  0 [] op(e3,e0)=e1|op(e3,e1)=e1|op(e3,e2)=e1|op(e3,e3)=e1.
% 2.33/2.52  0 [] op(e0,e3)=e1|op(e1,e3)=e1|op(e2,e3)=e1|op(e3,e3)=e1.
% 2.33/2.52  0 [] op(e3,e0)=e2|op(e3,e1)=e2|op(e3,e2)=e2|op(e3,e3)=e2.
% 2.33/2.52  0 [] op(e0,e3)=e2|op(e1,e3)=e2|op(e2,e3)=e2|op(e3,e3)=e2.
% 2.33/2.52  0 [] op(e3,e0)=e3|op(e3,e1)=e3|op(e3,e2)=e3|op(e3,e3)=e3.
% 2.33/2.52  0 [] op(e0,e3)=e3|op(e1,e3)=e3|op(e2,e3)=e3|op(e3,e3)=e3.
% 2.33/2.52  0 [] op(e0,e0)!=op(e1,e0).
% 2.33/2.52  0 [] op(e0,e0)!=op(e2,e0).
% 2.33/2.52  0 [] op(e0,e0)!=op(e3,e0).
% 2.33/2.52  0 [] op(e1,e0)!=op(e2,e0).
% 2.33/2.52  0 [] op(e1,e0)!=op(e3,e0).
% 2.33/2.52  0 [] op(e2,e0)!=op(e3,e0).
% 2.33/2.52  0 [] op(e0,e1)!=op(e1,e1).
% 2.33/2.52  0 [] op(e0,e1)!=op(e2,e1).
% 2.33/2.52  0 [] op(e0,e1)!=op(e3,e1).
% 2.33/2.52  0 [] op(e1,e1)!=op(e2,e1).
% 2.33/2.52  0 [] op(e1,e1)!=op(e3,e1).
% 2.33/2.52  0 [] op(e2,e1)!=op(e3,e1).
% 2.33/2.52  0 [] op(e0,e2)!=op(e1,e2).
% 2.33/2.52  0 [] op(e0,e2)!=op(e2,e2).
% 2.33/2.52  0 [] op(e0,e2)!=op(e3,e2).
% 2.33/2.52  0 [] op(e1,e2)!=op(e2,e2).
% 2.33/2.52  0 [] op(e1,e2)!=op(e3,e2).
% 2.33/2.52  0 [] op(e2,e2)!=op(e3,e2).
% 2.33/2.52  0 [] op(e0,e3)!=op(e1,e3).
% 2.33/2.52  0 [] op(e0,e3)!=op(e2,e3).
% 2.33/2.52  0 [] op(e0,e3)!=op(e3,e3).
% 2.33/2.52  0 [] op(e1,e3)!=op(e2,e3).
% 2.33/2.52  0 [] op(e1,e3)!=op(e3,e3).
% 2.33/2.52  0 [] op(e2,e3)!=op(e3,e3).
% 2.33/2.52  0 [] op(e0,e0)!=op(e0,e1).
% 2.33/2.52  0 [] op(e0,e0)!=op(e0,e2).
% 2.33/2.52  0 [] op(e0,e0)!=op(e0,e3).
% 2.33/2.52  0 [] op(e0,e1)!=op(e0,e2).
% 2.33/2.52  0 [] op(e0,e1)!=op(e0,e3).
% 2.33/2.52  0 [] op(e0,e2)!=op(e0,e3).
% 2.33/2.52  0 [] op(e1,e0)!=op(e1,e1).
% 2.33/2.52  0 [] op(e1,e0)!=op(e1,e2).
% 2.33/2.52  0 [] op(e1,e0)!=op(e1,e3).
% 2.33/2.52  0 [] op(e1,e1)!=op(e1,e2).
% 2.33/2.52  0 [] op(e1,e1)!=op(e1,e3).
% 2.33/2.52  0 [] op(e1,e2)!=op(e1,e3).
% 2.33/2.52  0 [] op(e2,e0)!=op(e2,e1).
% 2.33/2.52  0 [] op(e2,e0)!=op(e2,e2).
% 2.33/2.52  0 [] op(e2,e0)!=op(e2,e3).
% 2.33/2.52  0 [] op(e2,e1)!=op(e2,e2).
% 2.33/2.52  0 [] op(e2,e1)!=op(e2,e3).
% 2.33/2.52  0 [] op(e2,e2)!=op(e2,e3).
% 2.33/2.52  0 [] op(e3,e0)!=op(e3,e1).
% 2.33/2.52  0 [] op(e3,e0)!=op(e3,e2).
% 2.33/2.52  0 [] op(e3,e0)!=op(e3,e3).
% 2.33/2.52  0 [] op(e3,e1)!=op(e3,e2).
% 2.33/2.52  0 [] op(e3,e1)!=op(e3,e3).
% 2.33/2.52  0 [] op(e3,e2)!=op(e3,e3).
% 2.33/2.52  0 [] e0!=e1.
% 2.33/2.52  0 [] e0!=e2.
% 2.33/2.52  0 [] e0!=e3.
% 2.33/2.52  0 [] e1!=e2.
% 2.33/2.52  0 [] e1!=e3.
% 2.33/2.52  0 [] e2!=e3.
% 2.33/2.52  0 [] op(e0,e0)=e0.
% 2.33/2.52  0 [] op(e1,e1)=e1.
% 2.33/2.52  0 [] op(e2,e2)=e2.
% 2.33/2.52  0 [] op(e3,e3)=e3.
% 2.33/2.52  0 [] e0!=op(e2,e3)|e1!=op(op(e2,e3),e3).
% 2.33/2.52  0 [] e0!=op(e3,e2)|e1!=op(op(e3,e2),e2).
% 2.33/2.52  0 [] e0!=op(e1,e3)|e2!=op(op(e1,e3),e3).
% 2.33/2.52  0 [] e0!=op(e3,e1)|e2!=op(op(e3,e1),e1).
% 2.33/2.52  0 [] e0!=op(e1,e2)|e3!=op(op(e1,e2),e2).
% 2.33/2.52  0 [] e0!=op(e2,e1)|e3!=op(op(e2,e1),e1).
% 2.33/2.52  0 [] e1!=op(e2,e3)|e0!=op(op(e2,e3),e3).
% 2.33/2.52  0 [] e1!=op(e3,e2)|e0!=op(op(e3,e2),e2).
% 2.33/2.52  0 [] e1!=op(e0,e3)|e2!=op(op(e0,e3),e3).
% 2.33/2.52  0 [] e1!=op(e3,e0)|e2!=op(op(e3,e0),e0).
% 2.33/2.52  0 [] e1!=op(e0,e2)|e3!=op(op(e0,e2),e2).
% 2.33/2.52  0 [] e1!=op(e2,e0)|e3!=op(op(e2,e0),e0).
% 2.33/2.52  0 [] e2!=op(e1,e3)|e0!=op(op(e1,e3),e3).
% 2.33/2.52  0 [] e2!=op(e3,e1)|e0!=op(op(e3,e1),e1).
% 2.33/2.52  0 [] e2!=op(e0,e3)|e1!=op(op(e0,e3),e3).
% 2.33/2.52  0 [] e2!=op(e3,e0)|e1!=op(op(e3,e0),e0).
% 2.33/2.52  0 [] e2!=op(e0,e1)|e3!=op(op(e0,e1),e1).
% 2.33/2.52  0 [] e2!=op(e1,e0)|e3!=op(op(e1,e0),e0).
% 2.33/2.52  0 [] e3!=op(e1,e2)|e0!=op(op(e1,e2),e2).
% 2.33/2.52  0 [] e3!=op(e2,e1)|e0!=op(op(e2,e1),e1).
% 2.33/2.52  0 [] e3!=op(e0,e2)|e1!=op(op(e0,e2),e2).
% 2.33/2.52  0 [] e3!=op(e2,e0)|e1!=op(op(e2,e0),e0).
% 2.33/2.52  0 [] e3!=op(e0,e1)|e2!=op(op(e0,e1),e1).
% 2.33/2.52  0 [] e3!=op(e1,e0)|e2!=op(op(e1,e0),e0).
% 2.33/2.52  end_of_list.
% 2.33/2.52  
% 2.33/2.52  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 2.33/2.52  
% 2.33/2.52  This ia a non-Horn set with equality.  The strategy will be
% 2.33/2.52  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.33/2.52  deletion, with positive clauses in sos and nonpositive
% 2.33/2.52  clauses in usable.
% 2.33/2.52  
% 2.33/2.52     dependent: set(knuth_bendix).
% 2.33/2.52     dependent: set(anl_eq).
% 2.33/2.52     dependent: set(para_from).
% 2.33/2.52     dependent: set(para_into).
% 2.33/2.52     dependent: clear(para_from_right).
% 2.33/2.52     dependent: clear(para_into_right).
% 2.33/2.52     dependent: set(para_from_vars).
% 2.33/2.52     dependent: set(eq_units_both_ways).
% 2.33/2.52     dependent: set(dynamic_demod_all).
% 2.33/2.52     dependent: set(dynamic_demod).
% 2.33/2.52     dependent: set(order_eq).
% 2.33/2.52     dependent: set(back_demod).
% 2.33/2.52     dependent: set(lrpo).
% 2.33/2.52     dependent: set(hyper_res).
% 2.33/2.52     dependent: set(unit_deletion).
% 2.33/2.52     dependent: set(factor).
% 2.33/2.52  
% 2.33/2.52  ------------> process usable:
% 2.33/2.52  ** KEPT (pick-wt=7): 2 [copy,1,flip.1] op(e1,e0)!=op(e0,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 4 [copy,3,flip.1] op(e2,e0)!=op(e0,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 6 [copy,5,flip.1] op(e3,e0)!=op(e0,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 8 [copy,7,flip.1] op(e2,e0)!=op(e1,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 10 [copy,9,flip.1] op(e3,e0)!=op(e1,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 12 [copy,11,flip.1] op(e3,e0)!=op(e2,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 14 [copy,13,flip.1] op(e1,e1)!=op(e0,e1).
% 2.33/2.52  ** KEPT (pick-wt=7): 16 [copy,15,flip.1] op(e2,e1)!=op(e0,e1).
% 2.33/2.52  ** KEPT (pick-wt=7): 18 [copy,17,flip.1] op(e3,e1)!=op(e0,e1).
% 2.33/2.52  ** KEPT (pick-wt=7): 20 [copy,19,flip.1] op(e2,e1)!=op(e1,e1).
% 2.33/2.52  ** KEPT (pick-wt=7): 22 [copy,21,flip.1] op(e3,e1)!=op(e1,e1).
% 2.33/2.52  ** KEPT (pick-wt=7): 24 [copy,23,flip.1] op(e3,e1)!=op(e2,e1).
% 2.33/2.52  ** KEPT (pick-wt=7): 26 [copy,25,flip.1] op(e1,e2)!=op(e0,e2).
% 2.33/2.52  ** KEPT (pick-wt=7): 28 [copy,27,flip.1] op(e2,e2)!=op(e0,e2).
% 2.33/2.52  ** KEPT (pick-wt=7): 30 [copy,29,flip.1] op(e3,e2)!=op(e0,e2).
% 2.33/2.52  ** KEPT (pick-wt=7): 32 [copy,31,flip.1] op(e2,e2)!=op(e1,e2).
% 2.33/2.52  ** KEPT (pick-wt=7): 34 [copy,33,flip.1] op(e3,e2)!=op(e1,e2).
% 2.33/2.52  ** KEPT (pick-wt=7): 36 [copy,35,flip.1] op(e3,e2)!=op(e2,e2).
% 2.33/2.52  ** KEPT (pick-wt=7): 38 [copy,37,flip.1] op(e1,e3)!=op(e0,e3).
% 2.33/2.52  ** KEPT (pick-wt=7): 40 [copy,39,flip.1] op(e2,e3)!=op(e0,e3).
% 2.33/2.52  ** KEPT (pick-wt=7): 42 [copy,41,flip.1] op(e3,e3)!=op(e0,e3).
% 2.33/2.52  ** KEPT (pick-wt=7): 44 [copy,43,flip.1] op(e2,e3)!=op(e1,e3).
% 2.33/2.52  ** KEPT (pick-wt=7): 46 [copy,45,flip.1] op(e3,e3)!=op(e1,e3).
% 2.33/2.52  ** KEPT (pick-wt=7): 48 [copy,47,flip.1] op(e3,e3)!=op(e2,e3).
% 2.33/2.52  ** KEPT (pick-wt=7): 50 [copy,49,flip.1] op(e0,e1)!=op(e0,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 52 [copy,51,flip.1] op(e0,e2)!=op(e0,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 54 [copy,53,flip.1] op(e0,e3)!=op(e0,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 56 [copy,55,flip.1] op(e0,e2)!=op(e0,e1).
% 2.33/2.52  ** KEPT (pick-wt=7): 58 [copy,57,flip.1] op(e0,e3)!=op(e0,e1).
% 2.33/2.52  ** KEPT (pick-wt=7): 60 [copy,59,flip.1] op(e0,e3)!=op(e0,e2).
% 2.33/2.52  ** KEPT (pick-wt=7): 62 [copy,61,flip.1] op(e1,e1)!=op(e1,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 64 [copy,63,flip.1] op(e1,e2)!=op(e1,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 66 [copy,65,flip.1] op(e1,e3)!=op(e1,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 68 [copy,67,flip.1] op(e1,e2)!=op(e1,e1).
% 2.33/2.52  ** KEPT (pick-wt=7): 70 [copy,69,flip.1] op(e1,e3)!=op(e1,e1).
% 2.33/2.52  ** KEPT (pick-wt=7): 72 [copy,71,flip.1] op(e1,e3)!=op(e1,e2).
% 2.33/2.52  ** KEPT (pick-wt=7): 74 [copy,73,flip.1] op(e2,e1)!=op(e2,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 76 [copy,75,flip.1] op(e2,e2)!=op(e2,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 78 [copy,77,flip.1] op(e2,e3)!=op(e2,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 80 [copy,79,flip.1] op(e2,e2)!=op(e2,e1).
% 2.33/2.52  ** KEPT (pick-wt=7): 82 [copy,81,flip.1] op(e2,e3)!=op(e2,e1).
% 2.33/2.52  ** KEPT (pick-wt=7): 84 [copy,83,flip.1] op(e2,e3)!=op(e2,e2).
% 2.33/2.52  ** KEPT (pick-wt=7): 86 [copy,85,flip.1] op(e3,e1)!=op(e3,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 88 [copy,87,flip.1] op(e3,e2)!=op(e3,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 90 [copy,89,flip.1] op(e3,e3)!=op(e3,e0).
% 2.33/2.52  ** KEPT (pick-wt=7): 92 [copy,91,flip.1] op(e3,e2)!=op(e3,e1).
% 2.33/2.52  ** KEPT (pick-wt=7): 94 [copy,93,flip.1] op(e3,e3)!=op(e3,e1).
% 2.33/2.52  ** KEPT (pick-wt=7): 96 [copy,95,flip.1] op(e3,e3)!=op(e3,e2).
% 2.33/2.52  ** KEPT (pick-wt=3): 98 [copy,97,flip.1] e1!=e0.
% 2.33/2.52  ** KEPT (pick-wt=3): 100 [copy,99,flip.1] e2!=e0.
% 2.33/2.52  ** KEPT (pick-wt=3): 102 [copy,101,flip.1] e3!=e0.
% 2.33/2.52  ** KEPT (pick-wt=3): 104 [copy,103,flip.1] e2!=e1.
% 2.33/2.52  ** KEPT (pick-wt=3): 106 [copy,105,flip.1] e3!=e1.
% 2.33/2.52  ** KEPT (pick-wt=3): 108 [copy,107,flip.1] e3!=e2.
% 2.33/2.52  ** KEPT (pick-wt=12): 110 [copy,109,flip.1,flip.2] op(e2,e3)!=e0|op(op(e2,e3),e3)!=e1.
% 2.33/2.52  ** KEPT (pick-wt=12): 112 [copy,111,flip.1,flip.2] op(e3,e2)!=e0|op(op(e3,e2),e2)!=e1.
% 2.33/2.52  ** KEPT (pick-wt=12): 114 [copy,113,flip.1,flip.2] op(e1,e3)!=e0|op(op(e1,e3),e3)!=e2.
% 2.33/2.52  ** KEPT (pick-wt=12): 116 [copy,115,flip.1,flip.2] op(e3,e1)!=e0|op(op(e3,e1),e1)!=e2.
% 2.33/2.52  ** KEPT (pick-wt=12): 118 [copy,117,flip.1,flip.2] op(e1,e2)!=e0|op(op(e1,e2),e2)!=e3.
% 2.33/2.52  ** KEPT (pick-wt=12): 120 [copy,119,flip.1,flip.2] op(e2,e1)!=e0|op(op(e2,e1),e1)!=e3.
% 2.33/2.52  ** KEPT (pick-wt=12): 122 [copy,121,flip.1,flip.2] op(e2,e3)!=e1|op(op(e2,e3),e3)!=e0.
% 2.33/2.52  ** KEPT (pick-wt=12): 124 [copy,123,flip.1,flip.2] op(e3,e2)!=e1|op(op(e3,e2),e2)!=e0.
% 2.33/2.52  ** KEPT (pick-wt=12): 126 [copy,125,flip.1,flip.2] op(e0,e3)!=e1|op(op(e0,e3),e3)!=e2.
% 2.33/2.52  ** KEPT (pick-wt=12): 128 [copy,127,flip.1,flip.2] op(e3,e0)!=e1|op(op(e3,e0),e0)!=e2.
% 2.33/2.52  ** KEPT (pick-wt=12): 130 [copy,129,flip.1,flip.2] op(e0,e2)!=e1|op(op(e0,e2),e2)!=e3.
% 2.33/2.52  ** KEPT (pick-wt=12): 132 [copy,131,flip.1,flip.2] op(e2,e0)!=e1|op(op(e2,e0),e0)!=e3.
% 2.33/2.52  ** KEPT (pick-wt=12): 134 [copy,133,flip.1,flip.2] op(e1,e3)!=e2|op(op(e1,e3),e3)!=e0.
% 2.33/2.52  ** KEPT (pick-wt=12): 136 [copy,135,flip.1,flip.2] op(e3,e1)!=e2|op(op(e3,e1),e1)!=e0.
% 2.33/2.52  ** KEPT (pick-wt=12): 138 [copy,137,flip.1,flip.2] op(e0,e3)!=e2|op(op(e0,e3),e3)!=e1.
% 2.33/2.52  ** KEPT (pick-wt=12): 140 [copy,139,flip.1,flip.2] op(e3,e0)!=e2|op(op(e3,e0),e0)!=e1.
% 2.33/2.52  ** KEPT (pick-wt=12): 142 [copy,141,flip.1,flip.2] op(e0,e1)!=e2|op(op(e0,e1),e1)!=e3.
% 2.33/2.52  ** KEPT (pick-wt=12): 144 [copy,143,flip.1,flip.2] op(e1,e0)!=e2|op(op(e1,e0),e0)!=e3.
% 2.33/2.52  ** KEPT (pick-wt=12): 146 [copy,145,flip.1,flip.2] op(e1,e2)!=e3|op(op(e1,e2),e2)!=e0.
% 2.33/2.52  ** KEPT (pick-wt=12): 148 [copy,147,flip.1,flip.2] op(e2,e1)!=e3|op(op(e2,e1),e1)!=e0.
% 2.33/2.52  ** KEPT (pick-wt=12): 150 [copy,149,flip.1,flip.2] op(e0,e2)!=e3|op(op(e0,e2),e2)!=e1.
% 2.33/2.52  ** KEPT (pick-wt=12): 152 [copy,151,flip.1,flip.2] op(e2,e0)!=e3|op(op(e2,e0),e0)!=e1.
% 2.33/2.52  ** KEPT (pick-wt=12): 154 [copy,153,flip.1,flip.2] op(e0,e1)!=e3|op(op(e0,e1),e1)!=e2.
% 2.33/2.52  ** KEPT (pick-wt=12): 156 [copy,155,flip.1,flip.2] op(e1,e0)!=e3|op(op(e1,e0),e0)!=e2.
% 2.33/2.52  
% 2.33/2.52  ------------> process sos:
% 2.33/2.52  ** KEPT (pick-wt=3): 157 [] A=A.
% 2.33/2.52  ** KEPT (pick-wt=20): 158 [] op(e0,e0)=e0|op(e0,e0)=e1|op(e0,e0)=e2|op(e0,e0)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 159 [] op(e0,e1)=e0|op(e0,e1)=e1|op(e0,e1)=e2|op(e0,e1)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 160 [] op(e0,e2)=e0|op(e0,e2)=e1|op(e0,e2)=e2|op(e0,e2)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 161 [] op(e0,e3)=e0|op(e0,e3)=e1|op(e0,e3)=e2|op(e0,e3)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 162 [] op(e1,e0)=e0|op(e1,e0)=e1|op(e1,e0)=e2|op(e1,e0)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 163 [] op(e1,e1)=e0|op(e1,e1)=e1|op(e1,e1)=e2|op(e1,e1)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 164 [] op(e1,e2)=e0|op(e1,e2)=e1|op(e1,e2)=e2|op(e1,e2)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 165 [] op(e1,e3)=e0|op(e1,e3)=e1|op(e1,e3)=e2|op(e1,e3)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 166 [] op(e2,e0)=e0|op(e2,e0)=e1|op(e2,e0)=e2|op(e2,e0)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 167 [] op(e2,e1)=e0|op(e2,e1)=e1|op(e2,e1)=e2|op(e2,e1)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 168 [] op(e2,e2)=e0|op(e2,e2)=e1|op(e2,e2)=e2|op(e2,e2)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 169 [] op(e2,e3)=e0|op(e2,e3)=e1|op(e2,e3)=e2|op(e2,e3)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 170 [] op(e3,e0)=e0|op(e3,e0)=e1|op(e3,e0)=e2|op(e3,e0)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 171 [] op(e3,e1)=e0|op(e3,e1)=e1|op(e3,e1)=e2|op(e3,e1)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 172 [] op(e3,e2)=e0|op(e3,e2)=e1|op(e3,e2)=e2|op(e3,e2)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 173 [] op(e3,e3)=e0|op(e3,e3)=e1|op(e3,e3)=e2|op(e3,e3)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 174 [] op(e0,e0)=e0|op(e0,e1)=e0|op(e0,e2)=e0|op(e0,e3)=e0.
% 2.33/2.52  ** KEPT (pick-wt=20): 175 [] op(e0,e0)=e0|op(e1,e0)=e0|op(e2,e0)=e0|op(e3,e0)=e0.
% 2.33/2.52  ** KEPT (pick-wt=20): 176 [] op(e0,e0)=e1|op(e0,e1)=e1|op(e0,e2)=e1|op(e0,e3)=e1.
% 2.33/2.52  ** KEPT (pick-wt=20): 177 [] op(e0,e0)=e1|op(e1,e0)=e1|op(e2,e0)=e1|op(e3,e0)=e1.
% 2.33/2.52  ** KEPT (pick-wt=20): 178 [] op(e0,e0)=e2|op(e0,e1)=e2|op(e0,e2)=e2|op(e0,e3)=e2.
% 2.33/2.52  ** KEPT (pick-wt=20): 179 [] op(e0,e0)=e2|op(e1,e0)=e2|op(e2,e0)=e2|op(e3,e0)=e2.
% 2.33/2.52  ** KEPT (pick-wt=20): 180 [] op(e0,e0)=e3|op(e0,e1)=e3|op(e0,e2)=e3|op(e0,e3)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 181 [] op(e0,e0)=e3|op(e1,e0)=e3|op(e2,e0)=e3|op(e3,e0)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 182 [] op(e1,e0)=e0|op(e1,e1)=e0|op(e1,e2)=e0|op(e1,e3)=e0.
% 2.33/2.52  ** KEPT (pick-wt=20): 183 [] op(e0,e1)=e0|op(e1,e1)=e0|op(e2,e1)=e0|op(e3,e1)=e0.
% 2.33/2.52  ** KEPT (pick-wt=20): 184 [] op(e1,e0)=e1|op(e1,e1)=e1|op(e1,e2)=e1|op(e1,e3)=e1.
% 2.33/2.52  ** KEPT (pick-wt=20): 185 [] op(e0,e1)=e1|op(e1,e1)=e1|op(e2,e1)=e1|op(e3,e1)=e1.
% 2.33/2.52  ** KEPT (pick-wt=20): 186 [] op(e1,e0)=e2|op(e1,e1)=e2|op(e1,e2)=e2|op(e1,e3)=e2.
% 2.33/2.52  ** KEPT (pick-wt=20): 187 [] op(e0,e1)=e2|op(e1,e1)=e2|op(e2,e1)=e2|op(e3,e1)=e2.
% 2.33/2.52  ** KEPT (pick-wt=20): 188 [] op(e1,e0)=e3|op(e1,e1)=e3|op(e1,e2)=e3|op(e1,e3)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 189 [] op(e0,e1)=e3|op(e1,e1)=e3|op(e2,e1)=e3|op(e3,e1)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 190 [] op(e2,e0)=e0|op(e2,e1)=e0|op(e2,e2)=e0|op(e2,e3)=e0.
% 2.33/2.52  ** KEPT (pick-wt=20): 191 [] op(e0,e2)=e0|op(e1,e2)=e0|op(e2,e2)=e0|op(e3,e2)=e0.
% 2.33/2.52  ** KEPT (pick-wt=20): 192 [] op(e2,e0)=e1|op(e2,e1)=e1|op(e2,e2)=e1|op(e2,e3)=e1.
% 2.33/2.52  ** KEPT (pick-wt=20): 193 [] op(e0,e2)=e1|op(e1,e2)=e1|op(e2,e2)=e1|op(e3,e2)=e1.
% 2.33/2.52  ** KEPT (pick-wt=20): 194 [] op(e2,e0)=e2|op(e2,e1)=e2|op(e2,e2)=e2|op(e2,e3)=e2.
% 2.33/2.52  ** KEPT (pick-wt=20): 195 [] op(e0,e2)=e2|op(e1,e2)=e2|op(e2,e2)=e2|op(e3,e2)=e2.
% 2.33/2.52  ** KEPT (pick-wt=20): 196 [] op(e2,e0)=e3|op(e2,e1)=e3|op(e2,e2)=e3|op(e2,e3)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 197 [] op(e0,e2)=e3|op(e1,e2)=e3|op(e2,e2)=e3|op(e3,e2)=e3.
% 2.33/2.52  ** KEPT (pick-wt=20): 198 [] op(e3,e0)=e0|op(e3,e1)=e0|op(e3,e2)=e0|op(e3,e3)=e0.
% 2.33/2.52  ** KEPT (pick-wt=20): 199 [] op(e0,e3)=e0|op(e1,e3)=e0|op(e2,e3)=e0|op(e3,e3)=e0.
% 2.33/2.52  ** KEPT (pick-wt=20): 200 [] op(e3,e0)=e1|op(e3,e1)=e1|op(e3,e2)=e1|op(e3,e3)=e1.
% 2.33/2.52  ** KEPT (pick-wt=20): 201 [] op(e0,e3)=e1|op(e1,e3)=e1|op(e2,e3)=e1|op(e3,e3)=e1.
% 2.33/2.52  ** KEPT (pick-wt=20): 202 [] op(e3,e0)=e2|op(e3,e1)=e2|op(e3,e2)=e2|op(e3,e3)=e2.
% 2.54/2.69  ** KEPT (pick-wt=20): 203 [] op(e0,e3)=e2|op(e1,e3)=e2|op(e2,e3)=e2|op(e3,e3)=e2.
% 2.54/2.69  ** KEPT (pick-wt=20): 204 [] op(e3,e0)=e3|op(e3,e1)=e3|op(e3,e2)=e3|op(e3,e3)=e3.
% 2.54/2.69  ** KEPT (pick-wt=20): 205 [] op(e0,e3)=e3|op(e1,e3)=e3|op(e2,e3)=e3|op(e3,e3)=e3.
% 2.54/2.69  ** KEPT (pick-wt=5): 206 [] op(e0,e0)=e0.
% 2.54/2.69  ---> New Demodulator: 207 [new_demod,206] op(e0,e0)=e0.
% 2.54/2.69  ** KEPT (pick-wt=5): 208 [] op(e1,e1)=e1.
% 2.54/2.69  ---> New Demodulator: 209 [new_demod,208] op(e1,e1)=e1.
% 2.54/2.69  ** KEPT (pick-wt=5): 210 [] op(e2,e2)=e2.
% 2.54/2.69  ---> New Demodulator: 211 [new_demod,210] op(e2,e2)=e2.
% 2.54/2.69  ** KEPT (pick-wt=5): 212 [] op(e3,e3)=e3.
% 2.54/2.69  ---> New Demodulator: 213 [new_demod,212] op(e3,e3)=e3.
% 2.54/2.69    Following clause subsumed by 157 during input processing: 0 [copy,157,flip.1] A=A.
% 2.54/2.69  >>>> Starting back demodulation with 207.
% 2.54/2.69      >> back demodulating 181 with 207.
% 2.54/2.69      >> back demodulating 180 with 207.
% 2.54/2.69      >> back demodulating 179 with 207.
% 2.54/2.69      >> back demodulating 178 with 207.
% 2.54/2.69      >> back demodulating 177 with 207.
% 2.54/2.69      >> back demodulating 176 with 207.
% 2.54/2.69      >> back demodulating 175 with 207.
% 2.54/2.69      >> back demodulating 174 with 207.
% 2.54/2.69      >> back demodulating 158 with 207.
% 2.54/2.69      >> back demodulating 54 with 207.
% 2.54/2.69      >> back demodulating 52 with 207.
% 2.54/2.69      >> back demodulating 50 with 207.
% 2.54/2.69      >> back demodulating 6 with 207.
% 2.54/2.69      >> back demodulating 4 with 207.
% 2.54/2.69      >> back demodulating 2 with 207.
% 2.54/2.69  >>>> Starting back demodulation with 209.
% 2.54/2.69      >> back demodulating 189 with 209.
% 2.54/2.69      >> back demodulating 188 with 209.
% 2.54/2.69      >> back demodulating 187 with 209.
% 2.54/2.69      >> back demodulating 186 with 209.
% 2.54/2.69      >> back demodulating 185 with 209.
% 2.54/2.69      >> back demodulating 184 with 209.
% 2.54/2.69      >> back demodulating 183 with 209.
% 2.54/2.69      >> back demodulating 182 with 209.
% 2.54/2.69      >> back demodulating 163 with 209.
% 2.54/2.69      >> back demodulating 70 with 209.
% 2.54/2.69      >> back demodulating 68 with 209.
% 2.54/2.69      >> back demodulating 62 with 209.
% 2.54/2.69      >> back demodulating 22 with 209.
% 2.54/2.69      >> back demodulating 20 with 209.
% 2.54/2.69      >> back demodulating 14 with 209.
% 2.54/2.69  >>>> Starting back demodulation with 211.
% 2.54/2.69      >> back demodulating 197 with 211.
% 2.54/2.69      >> back demodulating 196 with 211.
% 2.54/2.69      >> back demodulating 195 with 211.
% 2.54/2.69      >> back demodulating 194 with 211.
% 2.54/2.69      >> back demodulating 193 with 211.
% 2.54/2.69      >> back demodulating 192 with 211.
% 2.54/2.69      >> back demodulating 191 with 211.
% 2.54/2.69      >> back demodulating 190 with 211.
% 2.54/2.69      >> back demodulating 168 with 211.
% 2.54/2.69      >> back demodulating 84 with 211.
% 2.54/2.69      >> back demodulating 80 with 211.
% 2.54/2.69      >> back demodulating 76 with 211.
% 2.54/2.69      >> back demodulating 36 with 211.
% 2.54/2.69      >> back demodulating 32 with 211.
% 2.54/2.69      >> back demodulating 28 with 211.
% 2.54/2.69  >>>> Starting back demodulation with 213.
% 2.54/2.69      >> back demodulating 205 with 213.
% 2.54/2.69      >> back demodulating 204 with 213.
% 2.54/2.69      >> back demodulating 203 with 213.
% 2.54/2.69      >> back demodulating 202 with 213.
% 2.54/2.69      >> back demodulating 201 with 213.
% 2.54/2.69      >> back demodulating 200 with 213.
% 2.54/2.69      >> back demodulating 199 with 213.
% 2.54/2.69      >> back demodulating 198 with 213.
% 2.54/2.69      >> back demodulating 173 with 213.
% 2.54/2.69      >> back demodulating 96 with 213.
% 2.54/2.69      >> back demodulating 94 with 213.
% 2.54/2.69      >> back demodulating 90 with 213.
% 2.54/2.69      >> back demodulating 48 with 213.
% 2.54/2.69      >> back demodulating 46 with 213.
% 2.54/2.69      >> back demodulating 42 with 213.
% 2.54/2.69  
% 2.54/2.69  ======= end of input processing =======
% 2.54/2.69  
% 2.54/2.69  =========== start of search ===========
% 2.54/2.69  
% 2.54/2.69  -------- PROOF -------- 
% 2.54/2.69  
% 2.54/2.69  -----> EMPTY CLAUSE at   0.18 sec ----> 1360 [back_demod,1249,demod,1352,1343,1350,unit_del,157,157,157] $F.
% 2.54/2.69  
% 2.54/2.69  Length of proof is 57.  Level of proof is 6.
% 2.54/2.69  
% 2.54/2.69  ---------------- PROOF ----------------
% 2.54/2.69  % SZS status Theorem
% 2.54/2.69  % SZS output start Refutation
% See solution above
% 2.54/2.69  ------------ end of proof -------------
% 2.54/2.69  
% 2.54/2.69  
% 2.54/2.69  Search stopped by max_proofs option.
% 2.54/2.69  
% 2.54/2.69  
% 2.54/2.69  Search stopped by max_proofs option.
% 2.54/2.69  
% 2.54/2.69  ============ end of search ============
% 2.54/2.69  
% 2.54/2.69  -------------- statistics -------------
% 2.54/2.69  clauses given                259
% 2.54/2.69  clauses generated          13983
% 2.54/2.69  clauses kept                1273
% 2.54/2.69  clauses forward subsumed   12712
% 2.54/2.69  clauses back subsumed        276
% 2.54/2.69  Kbytes malloced              976
% 2.54/2.69  
% 2.54/2.69  ----------- times (seconds) -----------
% 2.54/2.69  user CPU time          0.18          (0 hr, 0 min, 0 sec)
% 2.54/2.69  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 2.54/2.69  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.54/2.69  
% 2.54/2.69  That finishes the proof of the theorem.
% 2.54/2.69  
% 2.54/2.69  Process 14644 finished Wed Jul 27 03:41:53 2022
% 2.54/2.69  Otter interrupted
% 2.54/2.69  PROOF FOUND
%------------------------------------------------------------------------------