TSTP Solution File: SWV543-1.004 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV543-1.004 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n020.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 13:21:07 EDT 2022

% Result   : Unsatisfiable 2.21s 2.38s
% Output   : Refutation 2.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   87 (  77 unt;  10 nHn;  79 RR)
%            Number of literals    :   97 (  96 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  26 con; 0-3 aty)
%            Number of variables   :   15 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    a_430 != a_440,
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(2,plain,
    a_440 != a_430,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1])]),
    [iquote('copy,1,flip.1')] ).

cnf(4,axiom,
    select(store(A,B,C),B) = C,
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(6,axiom,
    ( A = B
    | select(store(C,A,D),B) = select(C,B) ),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(7,axiom,
    store(store(A,B,select(A,C)),C,select(A,B)) = store(store(A,C,select(A,B)),B,select(A,C)),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(14,axiom,
    a_420 = store(a_418,i0,e_419),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(16,plain,
    store(a_418,i0,e_419) = a_420,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[14])]),
    [iquote('copy,14,flip.1')] ).

cnf(17,axiom,
    a_422 = store(a_420,i3,e_421),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(19,plain,
    store(a_420,i3,e_421) = a_422,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[17])]),
    [iquote('copy,17,flip.1')] ).

cnf(20,axiom,
    a_424 = store(a_422,i3,e_423),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(22,plain,
    store(a_422,i3,e_423) = a_424,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[20])]),
    [iquote('copy,20,flip.1')] ).

cnf(23,axiom,
    a_426 = store(a_424,i2,e_425),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(24,plain,
    store(a_424,i2,e_425) = a_426,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[23])]),
    [iquote('copy,23,flip.1')] ).

cnf(26,axiom,
    a_428 = store(a_426,i2,e_427),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(28,plain,
    store(a_426,i2,e_427) = a_428,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[26])]),
    [iquote('copy,26,flip.1')] ).

cnf(29,axiom,
    a_430 = store(a_428,i0,e_429),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(30,plain,
    store(a_428,i0,e_429) = a_430,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[29])]),
    [iquote('copy,29,flip.1')] ).

cnf(32,axiom,
    a_431 = store(a_418,i3,e_421),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(34,plain,
    store(a_418,i3,e_421) = a_431,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[32])]),
    [iquote('copy,32,flip.1')] ).

cnf(35,axiom,
    a_432 = store(a_431,i0,e_419),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(37,plain,
    store(a_431,i0,e_419) = a_432,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[35])]),
    [iquote('copy,35,flip.1')] ).

cnf(38,axiom,
    a_434 = store(a_432,i3,e_433),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(40,plain,
    store(a_432,i3,e_433) = a_434,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[38])]),
    [iquote('copy,38,flip.1')] ).

cnf(41,axiom,
    a_436 = store(a_434,i2,e_435),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(42,plain,
    store(a_434,i2,e_435) = a_436,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[41])]),
    [iquote('copy,41,flip.1')] ).

cnf(44,axiom,
    a_438 = store(a_436,i0,e_437),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(45,plain,
    store(a_436,i0,e_437) = a_438,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[44])]),
    [iquote('copy,44,flip.1')] ).

cnf(47,axiom,
    a_440 = store(a_438,i2,e_439),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(49,plain,
    store(a_438,i2,e_439) = a_440,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[47])]),
    [iquote('copy,47,flip.1')] ).

cnf(53,axiom,
    e_419 = select(a_418,i3),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(55,plain,
    select(a_418,i3) = e_419,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[53])]),
    [iquote('copy,53,flip.1')] ).

cnf(56,axiom,
    e_421 = select(a_418,i0),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(58,plain,
    select(a_418,i0) = e_421,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[56])]),
    [iquote('copy,56,flip.1')] ).

cnf(59,axiom,
    e_423 = select(a_422,i2),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(61,plain,
    select(a_422,i2) = e_423,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[59])]),
    [iquote('copy,59,flip.1')] ).

cnf(62,axiom,
    e_425 = select(a_422,i3),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(64,plain,
    select(a_422,i3) = e_425,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[62])]),
    [iquote('copy,62,flip.1')] ).

cnf(65,axiom,
    e_427 = select(a_426,i0),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(67,plain,
    select(a_426,i0) = e_427,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[65])]),
    [iquote('copy,65,flip.1')] ).

cnf(68,axiom,
    e_429 = select(a_426,i2),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(70,plain,
    select(a_426,i2) = e_429,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[68])]),
    [iquote('copy,68,flip.1')] ).

cnf(71,axiom,
    e_433 = select(a_432,i2),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(73,plain,
    select(a_432,i2) = e_433,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[71])]),
    [iquote('copy,71,flip.1')] ).

cnf(74,axiom,
    e_435 = select(a_432,i3),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(75,plain,
    select(a_432,i3) = e_435,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[74])]),
    [iquote('copy,74,flip.1')] ).

cnf(77,axiom,
    e_437 = select(a_436,i2),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(79,plain,
    select(a_436,i2) = e_437,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[77])]),
    [iquote('copy,77,flip.1')] ).

cnf(80,axiom,
    e_439 = select(a_436,i0),
    file('SWV543-1.004.p',unknown),
    [] ).

cnf(82,plain,
    select(a_436,i0) = e_439,
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[80])]),
    [iquote('copy,80,flip.1')] ).

cnf(127,plain,
    store(store(a_436,i0,select(a_436,A)),A,e_439) = store(store(a_436,A,e_439),i0,select(a_436,A)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[7,82]),82])]),
    [iquote('para_into,7.1.1.1.3,81.1.1,demod,82,flip.1')] ).

cnf(133,plain,
    store(store(a_432,i2,select(a_432,A)),A,e_433) = store(store(a_432,A,e_433),i2,select(a_432,A)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[7,73]),73])]),
    [iquote('para_into,7.1.1.1.3,72.1.1,demod,73,flip.1')] ).

cnf(141,plain,
    store(store(a_422,i2,select(a_422,A)),A,e_423) = store(store(a_422,A,e_423),i2,select(a_422,A)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[7,61]),61])]),
    [iquote('para_into,7.1.1.1.3,60.1.1,demod,61,flip.1')] ).

cnf(143,plain,
    store(store(a_418,i0,select(a_418,A)),A,e_421) = store(store(a_418,A,e_421),i0,select(a_418,A)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[7,58]),58])]),
    [iquote('para_into,7.1.1.1.3,57.1.1,demod,58,flip.1')] ).

cnf(185,plain,
    e_425 = e_421,
    inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[19,4]),64]),
    [iquote('para_from,18.1.1,4.1.1.1,demod,64')] ).

cnf(191,plain,
    select(a_422,i3) = e_421,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[64]),185]),
    [iquote('back_demod,63,demod,185')] ).

cnf(193,plain,
    store(a_424,i2,e_421) = a_426,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[24]),185]),
    [iquote('back_demod,24,demod,185')] ).

cnf(233,plain,
    select(a_431,i3) = e_421,
    inference(para_from,[status(thm),theory(equality)],[34,4]),
    [iquote('para_from,33.1.1,4.1.1.1')] ).

cnf(241,plain,
    ( i0 = A
    | select(a_432,A) = select(a_431,A) ),
    inference(para_from,[status(thm),theory(equality)],[37,6]),
    [iquote('para_from,36.1.1,6.2.1.1')] ).

cnf(259,plain,
    e_437 = e_435,
    inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[42,4]),79]),
    [iquote('para_from,42.1.1,4.1.1.1,demod,79')] ).

cnf(264,plain,
    select(a_436,i2) = e_435,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[79]),259]),
    [iquote('back_demod,78,demod,259')] ).

cnf(266,plain,
    store(a_436,i0,e_435) = a_438,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[45]),259]),
    [iquote('back_demod,45,demod,259')] ).

cnf(294,plain,
    e_429 = e_421,
    inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[193,4]),70]),
    [iquote('para_from,192.1.1,4.1.1.1,demod,70')] ).

cnf(311,plain,
    store(a_428,i0,e_421) = a_430,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[30]),294]),
    [iquote('back_demod,30,demod,294')] ).

cnf(833,plain,
    ( i3 = i0
    | e_435 = e_421 ),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[241,75]),233])]),
    [iquote('para_into,241.2.1,75.1.1,demod,233,flip.1')] ).

cnf(848,plain,
    ( e_421 = e_419
    | e_435 = e_421 ),
    inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[833,55]),58]),
    [iquote('para_from,833.1.1,54.1.1.2,demod,58')] ).

cnf(850,plain,
    ( store(a_418,i0,e_421) = a_431
    | e_435 = e_421 ),
    inference(para_from,[status(thm),theory(equality)],[833,34]),
    [iquote('para_from,833.1.1,33.1.1.2')] ).

cnf(852,plain,
    ( store(a_420,i0,e_421) = a_422
    | e_435 = e_421 ),
    inference(para_from,[status(thm),theory(equality)],[833,19]),
    [iquote('para_from,833.1.1,18.1.1.2')] ).

cnf(898,plain,
    ( a_431 = a_420
    | e_435 = e_421 ),
    inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[850,848]),16])]),
    [iquote('para_into,850.1.1.3,848.1.1,demod,16,factor_simp')] ).

cnf(900,plain,
    ( store(a_420,i0,e_419) = a_432
    | e_435 = e_421 ),
    inference(para_from,[status(thm),theory(equality)],[898,37]),
    [iquote('para_from,898.1.1,36.1.1.1')] ).

cnf(903,plain,
    ( store(a_420,i0,e_419) = a_422
    | e_435 = e_421 ),
    inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[852,848])]),
    [iquote('para_into,852.1.1.3,848.1.1,factor_simp')] ).

cnf(904,plain,
    ( a_432 = a_422
    | e_435 = e_421 ),
    inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[903,900])]),
    [iquote('para_into,903.1.1,900.1.1,factor_simp')] ).

cnf(908,plain,
    e_435 = e_421,
    inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[904,75]),191])]),
    [iquote('para_from,904.1.1,75.1.1.1,demod,191,factor_simp')] ).

cnf(918,plain,
    store(a_436,i0,e_421) = a_438,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[266]),908]),
    [iquote('back_demod,266,demod,908')] ).

cnf(920,plain,
    select(a_436,i2) = e_421,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[264]),908]),
    [iquote('back_demod,264,demod,908')] ).

cnf(924,plain,
    select(a_432,i3) = e_421,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[75]),908]),
    [iquote('back_demod,75,demod,908')] ).

cnf(926,plain,
    store(a_434,i2,e_421) = a_436,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[42]),908]),
    [iquote('back_demod,42,demod,908')] ).

cnf(965,plain,
    store(store(a_436,i2,e_439),i0,e_421) = a_440,
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[127,920]),918,49,920])]),
    [iquote('para_into,127.1.1.1.3,919.1.1,demod,918,49,920,flip.1')] ).

cnf(969,plain,
    store(store(a_432,i2,e_421),i3,e_433) = a_436,
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[133,924]),40,924,926]),
    [iquote('para_into,133.1.1.1.3,923.1.1,demod,40,924,926')] ).

cnf(984,plain,
    store(store(a_422,i2,e_421),i3,e_423) = a_426,
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[141,191]),22,191,193]),
    [iquote('para_into,141.1.1.1.3,190.1.1,demod,22,191,193')] ).

cnf(995,plain,
    a_432 = a_422,
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[143,55]),16,19,34,55,37])]),
    [iquote('para_into,143.1.1.1.3,54.1.1,demod,16,19,34,55,37,flip.1')] ).

cnf(996,plain,
    store(store(a_422,i2,e_421),i3,e_433) = a_436,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[969]),995]),
    [iquote('back_demod,969,demod,995')] ).

cnf(1006,plain,
    e_433 = e_423,
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[73]),995,61])]),
    [iquote('back_demod,72,demod,995,61,flip.1')] ).

cnf(1015,plain,
    a_436 = a_426,
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[996]),1006,984])]),
    [iquote('back_demod,996,demod,1006,984,flip.1')] ).

cnf(1031,plain,
    store(store(a_426,i2,e_439),i0,e_421) = a_440,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[965]),1015]),
    [iquote('back_demod,965,demod,1015')] ).

cnf(1039,plain,
    e_439 = e_427,
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[82]),1015,67])]),
    [iquote('back_demod,81,demod,1015,67,flip.1')] ).

cnf(1042,plain,
    a_440 = a_430,
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1031]),1039,28,311])]),
    [iquote('back_demod,1031,demod,1039,28,311,flip.1')] ).

cnf(1044,plain,
    $false,
    inference(binary,[status(thm)],[1042,2]),
    [iquote('binary,1042.1,2.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV543-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 05:48:08 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 2.02/2.20  ----- Otter 3.3f, August 2004 -----
% 2.02/2.20  The process was started by sandbox on n020.cluster.edu,
% 2.02/2.20  Wed Jul 27 05:48:08 2022
% 2.02/2.20  The command was "./otter".  The process ID is 13728.
% 2.02/2.20  
% 2.02/2.20  set(prolog_style_variables).
% 2.02/2.20  set(auto).
% 2.02/2.20     dependent: set(auto1).
% 2.02/2.20     dependent: set(process_input).
% 2.02/2.20     dependent: clear(print_kept).
% 2.02/2.20     dependent: clear(print_new_demod).
% 2.02/2.20     dependent: clear(print_back_demod).
% 2.02/2.20     dependent: clear(print_back_sub).
% 2.02/2.20     dependent: set(control_memory).
% 2.02/2.20     dependent: assign(max_mem, 12000).
% 2.02/2.20     dependent: assign(pick_given_ratio, 4).
% 2.02/2.20     dependent: assign(stats_level, 1).
% 2.02/2.20     dependent: assign(max_seconds, 10800).
% 2.02/2.20  clear(print_given).
% 2.02/2.20  
% 2.02/2.20  list(usable).
% 2.02/2.20  0 [] A=A.
% 2.02/2.20  0 [] select(store(A,I,E),I)=E.
% 2.02/2.20  0 [] I=J|select(store(A,I,E),J)=select(A,J).
% 2.02/2.20  0 [] store(store(A,I,select(A,J)),J,select(A,I))=store(store(A,J,select(A,I)),I,select(A,J)).
% 2.02/2.20  0 [] a_417=store(a1,i1,e_416).
% 2.02/2.20  0 [] a_418=store(a_417,i1,e_416).
% 2.02/2.20  0 [] a_420=store(a_418,i0,e_419).
% 2.02/2.20  0 [] a_422=store(a_420,i3,e_421).
% 2.02/2.20  0 [] a_424=store(a_422,i3,e_423).
% 2.02/2.20  0 [] a_426=store(a_424,i2,e_425).
% 2.02/2.20  0 [] a_428=store(a_426,i2,e_427).
% 2.02/2.20  0 [] a_430=store(a_428,i0,e_429).
% 2.02/2.20  0 [] a_431=store(a_418,i3,e_421).
% 2.02/2.20  0 [] a_432=store(a_431,i0,e_419).
% 2.02/2.20  0 [] a_434=store(a_432,i3,e_433).
% 2.02/2.20  0 [] a_436=store(a_434,i2,e_435).
% 2.02/2.20  0 [] a_438=store(a_436,i0,e_437).
% 2.02/2.20  0 [] a_440=store(a_438,i2,e_439).
% 2.02/2.20  0 [] e_416=select(a1,i1).
% 2.02/2.20  0 [] e_419=select(a_418,i3).
% 2.02/2.20  0 [] e_421=select(a_418,i0).
% 2.02/2.20  0 [] e_423=select(a_422,i2).
% 2.02/2.20  0 [] e_425=select(a_422,i3).
% 2.02/2.20  0 [] e_427=select(a_426,i0).
% 2.02/2.20  0 [] e_429=select(a_426,i2).
% 2.02/2.20  0 [] e_433=select(a_432,i2).
% 2.02/2.20  0 [] e_435=select(a_432,i3).
% 2.02/2.20  0 [] e_437=select(a_436,i2).
% 2.02/2.20  0 [] e_439=select(a_436,i0).
% 2.02/2.20  0 [] a_430!=a_440.
% 2.02/2.20  end_of_list.
% 2.02/2.20  
% 2.02/2.20  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=2.
% 2.02/2.20  
% 2.02/2.20  This ia a non-Horn set with equality.  The strategy will be
% 2.02/2.20  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.02/2.20  deletion, with positive clauses in sos and nonpositive
% 2.02/2.20  clauses in usable.
% 2.02/2.20  
% 2.02/2.20     dependent: set(knuth_bendix).
% 2.02/2.20     dependent: set(anl_eq).
% 2.02/2.20     dependent: set(para_from).
% 2.02/2.20     dependent: set(para_into).
% 2.02/2.20     dependent: clear(para_from_right).
% 2.02/2.20     dependent: clear(para_into_right).
% 2.02/2.20     dependent: set(para_from_vars).
% 2.02/2.20     dependent: set(eq_units_both_ways).
% 2.02/2.20     dependent: set(dynamic_demod_all).
% 2.02/2.20     dependent: set(dynamic_demod).
% 2.02/2.20     dependent: set(order_eq).
% 2.02/2.20     dependent: set(back_demod).
% 2.02/2.20     dependent: set(lrpo).
% 2.02/2.20     dependent: set(hyper_res).
% 2.02/2.20     dependent: set(unit_deletion).
% 2.02/2.20     dependent: set(factor).
% 2.02/2.20  
% 2.02/2.20  ------------> process usable:
% 2.02/2.20  ** KEPT (pick-wt=3): 2 [copy,1,flip.1] a_440!=a_430.
% 2.02/2.20  
% 2.02/2.20  ------------> process sos:
% 2.02/2.20  ** KEPT (pick-wt=3): 3 [] A=A.
% 2.02/2.20  ** KEPT (pick-wt=8): 4 [] select(store(A,B,C),B)=C.
% 2.02/2.20  ---> New Demodulator: 5 [new_demod,4] select(store(A,B,C),B)=C.
% 2.02/2.20  ** KEPT (pick-wt=13): 6 [] A=B|select(store(C,A,D),B)=select(C,B).
% 2.02/2.20  ** KEPT (pick-wt=23): 7 [] store(store(A,B,select(A,C)),C,select(A,B))=store(store(A,C,select(A,B)),B,select(A,C)).
% 2.02/2.20  ** KEPT (pick-wt=6): 9 [copy,8,flip.1] store(a1,i1,e_416)=a_417.
% 2.02/2.20  ---> New Demodulator: 10 [new_demod,9] store(a1,i1,e_416)=a_417.
% 2.02/2.20  ** KEPT (pick-wt=6): 12 [copy,11,flip.1] store(a_417,i1,e_416)=a_418.
% 2.02/2.20  ---> New Demodulator: 13 [new_demod,12] store(a_417,i1,e_416)=a_418.
% 2.02/2.20  ** KEPT (pick-wt=6): 15 [copy,14,flip.1] store(a_418,i0,e_419)=a_420.
% 2.02/2.20  ---> New Demodulator: 16 [new_demod,15] store(a_418,i0,e_419)=a_420.
% 2.02/2.20  ** KEPT (pick-wt=6): 18 [copy,17,flip.1] store(a_420,i3,e_421)=a_422.
% 2.02/2.20  ---> New Demodulator: 19 [new_demod,18] store(a_420,i3,e_421)=a_422.
% 2.02/2.20  ** KEPT (pick-wt=6): 21 [copy,20,flip.1] store(a_422,i3,e_423)=a_424.
% 2.02/2.20  ---> New Demodulator: 22 [new_demod,21] store(a_422,i3,e_423)=a_424.
% 2.02/2.20  ** KEPT (pick-wt=6): 24 [copy,23,flip.1] store(a_424,i2,e_425)=a_426.
% 2.02/2.20  ---> New Demodulator: 25 [new_demod,24] store(a_424,i2,e_425)=a_426.
% 2.02/2.20  ** KEPT (pick-wt=6): 27 [copy,26,flip.1] store(a_426,i2,e_427)=a_428.
% 2.02/2.20  ---> New Demodulator: 28 [new_demod,27] store(a_426,i2,e_427)=a_428.
% 2.02/2.20  ** KEPT (pick-wt=6): 30 [copy,29,flip.1] store(a_428,i0,e_429)=a_430.
% 2.02/2.20  ---> New Demodulator: 31 [new_demod,30] store(a_428,i0,e_429)=a_430.
% 2.02/2.20  ** KEPT (pick-wt=6): 33 [copy,32,flip.1] store(a_418,i3,e_421)=a_431.
% 2.02/2.20  ---> New Demodulator: 34 [new_demod,33] store(a_418,i3,e_421)=a_431.
% 2.21/2.38  ** KEPT (pick-wt=6): 36 [copy,35,flip.1] store(a_431,i0,e_419)=a_432.
% 2.21/2.38  ---> New Demodulator: 37 [new_demod,36] store(a_431,i0,e_419)=a_432.
% 2.21/2.38  ** KEPT (pick-wt=6): 39 [copy,38,flip.1] store(a_432,i3,e_433)=a_434.
% 2.21/2.38  ---> New Demodulator: 40 [new_demod,39] store(a_432,i3,e_433)=a_434.
% 2.21/2.38  ** KEPT (pick-wt=6): 42 [copy,41,flip.1] store(a_434,i2,e_435)=a_436.
% 2.21/2.38  ---> New Demodulator: 43 [new_demod,42] store(a_434,i2,e_435)=a_436.
% 2.21/2.38  ** KEPT (pick-wt=6): 45 [copy,44,flip.1] store(a_436,i0,e_437)=a_438.
% 2.21/2.38  ---> New Demodulator: 46 [new_demod,45] store(a_436,i0,e_437)=a_438.
% 2.21/2.38  ** KEPT (pick-wt=6): 48 [copy,47,flip.1] store(a_438,i2,e_439)=a_440.
% 2.21/2.38  ---> New Demodulator: 49 [new_demod,48] store(a_438,i2,e_439)=a_440.
% 2.21/2.38  ** KEPT (pick-wt=5): 51 [copy,50,flip.1] select(a1,i1)=e_416.
% 2.21/2.38  ---> New Demodulator: 52 [new_demod,51] select(a1,i1)=e_416.
% 2.21/2.38  ** KEPT (pick-wt=5): 54 [copy,53,flip.1] select(a_418,i3)=e_419.
% 2.21/2.38  ---> New Demodulator: 55 [new_demod,54] select(a_418,i3)=e_419.
% 2.21/2.38  ** KEPT (pick-wt=5): 57 [copy,56,flip.1] select(a_418,i0)=e_421.
% 2.21/2.38  ---> New Demodulator: 58 [new_demod,57] select(a_418,i0)=e_421.
% 2.21/2.38  ** KEPT (pick-wt=5): 60 [copy,59,flip.1] select(a_422,i2)=e_423.
% 2.21/2.38  ---> New Demodulator: 61 [new_demod,60] select(a_422,i2)=e_423.
% 2.21/2.38  ** KEPT (pick-wt=5): 63 [copy,62,flip.1] select(a_422,i3)=e_425.
% 2.21/2.38  ---> New Demodulator: 64 [new_demod,63] select(a_422,i3)=e_425.
% 2.21/2.38  ** KEPT (pick-wt=5): 66 [copy,65,flip.1] select(a_426,i0)=e_427.
% 2.21/2.38  ---> New Demodulator: 67 [new_demod,66] select(a_426,i0)=e_427.
% 2.21/2.38  ** KEPT (pick-wt=5): 69 [copy,68,flip.1] select(a_426,i2)=e_429.
% 2.21/2.38  ---> New Demodulator: 70 [new_demod,69] select(a_426,i2)=e_429.
% 2.21/2.38  ** KEPT (pick-wt=5): 72 [copy,71,flip.1] select(a_432,i2)=e_433.
% 2.21/2.38  ---> New Demodulator: 73 [new_demod,72] select(a_432,i2)=e_433.
% 2.21/2.38  ** KEPT (pick-wt=5): 75 [copy,74,flip.1] select(a_432,i3)=e_435.
% 2.21/2.38  ---> New Demodulator: 76 [new_demod,75] select(a_432,i3)=e_435.
% 2.21/2.38  ** KEPT (pick-wt=5): 78 [copy,77,flip.1] select(a_436,i2)=e_437.
% 2.21/2.38  ---> New Demodulator: 79 [new_demod,78] select(a_436,i2)=e_437.
% 2.21/2.38  ** KEPT (pick-wt=5): 81 [copy,80,flip.1] select(a_436,i0)=e_439.
% 2.21/2.38  ---> New Demodulator: 82 [new_demod,81] select(a_436,i0)=e_439.
% 2.21/2.38    Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 2.21/2.38  >>>> Starting back demodulation with 5.
% 2.21/2.38    Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] store(store(A,B,select(A,C)),C,select(A,B))=store(store(A,C,select(A,B)),B,select(A,C)).
% 2.21/2.38  >>>> Starting back demodulation with 10.
% 2.21/2.38  >>>> Starting back demodulation with 13.
% 2.21/2.38  >>>> Starting back demodulation with 16.
% 2.21/2.38  >>>> Starting back demodulation with 19.
% 2.21/2.38  >>>> Starting back demodulation with 22.
% 2.21/2.38  >>>> Starting back demodulation with 25.
% 2.21/2.38  >>>> Starting back demodulation with 28.
% 2.21/2.38  >>>> Starting back demodulation with 31.
% 2.21/2.38  >>>> Starting back demodulation with 34.
% 2.21/2.38  >>>> Starting back demodulation with 37.
% 2.21/2.38  >>>> Starting back demodulation with 40.
% 2.21/2.38  >>>> Starting back demodulation with 43.
% 2.21/2.38  >>>> Starting back demodulation with 46.
% 2.21/2.38  >>>> Starting back demodulation with 49.
% 2.21/2.38  >>>> Starting back demodulation with 52.
% 2.21/2.38  >>>> Starting back demodulation with 55.
% 2.21/2.38  >>>> Starting back demodulation with 58.
% 2.21/2.38  >>>> Starting back demodulation with 61.
% 2.21/2.38  >>>> Starting back demodulation with 64.
% 2.21/2.38  >>>> Starting back demodulation with 67.
% 2.21/2.38  >>>> Starting back demodulation with 70.
% 2.21/2.38  >>>> Starting back demodulation with 73.
% 2.21/2.38  >>>> Starting back demodulation with 76.
% 2.21/2.38  >>>> Starting back demodulation with 79.
% 2.21/2.38  >>>> Starting back demodulation with 82.
% 2.21/2.38  
% 2.21/2.38  ======= end of input processing =======
% 2.21/2.38  
% 2.21/2.38  =========== start of search ===========
% 2.21/2.38  
% 2.21/2.38  
% 2.21/2.38  Resetting weight limit to 15.
% 2.21/2.38  
% 2.21/2.38  
% 2.21/2.38  Resetting weight limit to 15.
% 2.21/2.38  
% 2.21/2.38  sos_size=497
% 2.21/2.38  
% 2.21/2.38  
% 2.21/2.38  Resetting weight limit to 11.
% 2.21/2.38  
% 2.21/2.38  
% 2.21/2.38  Resetting weight limit to 11.
% 2.21/2.38  
% 2.21/2.38  sos_size=610
% 2.21/2.38  
% 2.21/2.38  
% 2.21/2.38  Resetting weight limit to 10.
% 2.21/2.38  
% 2.21/2.38  
% 2.21/2.38  Resetting weight limit to 10.
% 2.21/2.38  
% 2.21/2.38  sos_size=655
% 2.21/2.38  
% 2.21/2.38  -------- PROOF -------- 
% 2.21/2.38  
% 2.21/2.38  ----> UNIT CONFLICT at   0.18 sec ----> 1044 [binary,1042.1,2.1] $F.
% 2.21/2.38  
% 2.21/2.38  Length of proof is 60.  Level of proof is 14.
% 2.21/2.38  
% 2.21/2.38  ---------------- PROOF ----------------
% 2.21/2.38  % SZS status Unsatisfiable
% 2.21/2.38  % SZS output start Refutation
% See solution above
% 2.21/2.38  ------------ end of proof -------------
% 2.21/2.38  
% 2.21/2.38  
% 2.21/2.38  Search stopped by max_proofs option.
% 2.21/2.38  
% 2.21/2.38  
% 2.21/2.38  Search stopped by max_proofs option.
% 2.21/2.38  
% 2.21/2.38  ============ end of search ============
% 2.21/2.38  
% 2.21/2.38  -------------- statistics -------------
% 2.21/2.38  clauses given                181
% 2.21/2.38  clauses generated          10130
% 2.21/2.38  clauses kept                 911
% 2.21/2.38  clauses forward subsumed    1212
% 2.21/2.38  clauses back subsumed         32
% 2.21/2.38  Kbytes malloced             4882
% 2.21/2.38  
% 2.21/2.38  ----------- times (seconds) -----------
% 2.21/2.38  user CPU time          0.18          (0 hr, 0 min, 0 sec)
% 2.21/2.38  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 2.21/2.38  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.21/2.38  
% 2.21/2.38  That finishes the proof of the theorem.
% 2.21/2.38  
% 2.21/2.38  Process 13728 finished Wed Jul 27 05:48:10 2022
% 2.21/2.38  Otter interrupted
% 2.21/2.38  PROOF FOUND
%------------------------------------------------------------------------------