TSTP Solution File: LAT387+4 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : LAT387+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n014.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 13:03:14 EDT 2022

% Result   : Theorem 3.93s 4.12s
% Output   : Refutation 3.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   33
% Syntax   : Number of clauses     :   81 (  34 unt;  15 nHn;  80 RR)
%            Number of literals    :  169 (  22 equ;  76 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :   32 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ aSet0(A)
    | ~ aElementOf0(B,A)
    | aElement0(B) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ aElement0(A)
    | sdtlse_qdt0(A,A) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ aElement0(A)
    | ~ aElement0(B)
    | ~ sdtlse_qdt0(A,B)
    | ~ sdtlse_qdt0(B,A)
    | A = B ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ aElement0(A)
    | ~ aElement0(B)
    | ~ aElement0(C)
    | ~ sdtlse_qdt0(A,B)
    | ~ sdtlse_qdt0(B,C)
    | sdtlse_qdt0(A,C) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(16,axiom,
    ( ~ aSet0(A)
    | ~ aSubsetOf0(B,A)
    | ~ aUpperBoundOfIn0(C,B,A)
    | ~ aElementOf0(D,B)
    | sdtlse_qdt0(D,C) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(43,axiom,
    ( ~ aFunction0(A)
    | ~ aElementOf0(B,szDzozmdt0(A))
    | aElementOf0(sdtlpdtrp0(A,B),szRzazndt0(A)) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(94,axiom,
    ( ~ aElementOf0(A,szDzozmdt0(xf))
    | ~ aElementOf0(B,szDzozmdt0(xf))
    | ~ sdtlse_qdt0(A,B)
    | sdtlse_qdt0(sdtlpdtrp0(xf,A),sdtlpdtrp0(xf,B)) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(95,axiom,
    ( ~ aElementOf0(A,xS)
    | aElementOf0(A,szDzozmdt0(xf)) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(96,axiom,
    ( ~ aElementOf0(A,xS)
    | sdtlpdtrp0(xf,A) = A ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(103,axiom,
    ( ~ aElementOf0(A,xP)
    | ~ aElementOf0(B,xT)
    | sdtlse_qdt0(B,A) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(105,axiom,
    ( ~ aElementOf0(A,xU)
    | ~ sdtlse_qdt0(sdtlpdtrp0(xf,A),A)
    | aElementOf0(dollar_f17(A),xT)
    | aElementOf0(A,xP) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(106,axiom,
    ( ~ aElementOf0(A,xU)
    | ~ sdtlse_qdt0(sdtlpdtrp0(xf,A),A)
    | ~ sdtlse_qdt0(dollar_f17(A),A)
    | aElementOf0(A,xP) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(107,axiom,
    ( ~ aElementOf0(A,xU)
    | ~ sdtlse_qdt0(sdtlpdtrp0(xf,A),A)
    | ~ aUpperBoundOfIn0(A,xT,xU)
    | aElementOf0(A,xP) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(108,axiom,
    ( ~ aElementOf0(A,xP)
    | sdtlse_qdt0(xp,A) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(111,axiom,
    ( ~ aLowerBoundOfIn0(A,xP,xU)
    | sdtlse_qdt0(A,xp) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(113,axiom,
    ( ~ aElementOf0(A,xT)
    | sdtlse_qdt0(A,sdtlpdtrp0(xf,xp)) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(114,axiom,
    ( ~ aElementOf0(xp,szDzozmdt0(xf))
    | sdtlpdtrp0(xf,xp) != xp
    | aElementOf0(dollar_c1,xT)
    | aElementOf0(dollar_c2,xS) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(116,axiom,
    ( ~ aElementOf0(xp,szDzozmdt0(xf))
    | sdtlpdtrp0(xf,xp) != xp
    | aElementOf0(dollar_c1,xT)
    | aUpperBoundOfIn0(dollar_c2,xT,xS) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(117,axiom,
    ( ~ aElementOf0(xp,szDzozmdt0(xf))
    | sdtlpdtrp0(xf,xp) != xp
    | aElementOf0(dollar_c1,xT)
    | ~ sdtlse_qdt0(xp,dollar_c2) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(118,axiom,
    ( ~ aElementOf0(xp,szDzozmdt0(xf))
    | sdtlpdtrp0(xf,xp) != xp
    | ~ sdtlse_qdt0(dollar_c1,xp)
    | aElementOf0(dollar_c2,xS) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(120,axiom,
    ( ~ aElementOf0(xp,szDzozmdt0(xf))
    | sdtlpdtrp0(xf,xp) != xp
    | ~ sdtlse_qdt0(dollar_c1,xp)
    | aUpperBoundOfIn0(dollar_c2,xT,xS) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(121,axiom,
    ( ~ aElementOf0(xp,szDzozmdt0(xf))
    | sdtlpdtrp0(xf,xp) != xp
    | ~ sdtlse_qdt0(dollar_c1,xp)
    | ~ sdtlse_qdt0(xp,dollar_c2) ),
    file('LAT387+4.p',unknown),
    [] ).

cnf(154,axiom,
    A = A,
    file('LAT387+4.p',unknown),
    [] ).

cnf(155,axiom,
    aSet0(xU),
    file('LAT387+4.p',unknown),
    [] ).

cnf(157,axiom,
    aFunction0(xf),
    file('LAT387+4.p',unknown),
    [] ).

cnf(159,axiom,
    szDzozmdt0(xf) = szRzazndt0(xf),
    file('LAT387+4.p',unknown),
    [] ).

cnf(161,plain,
    szRzazndt0(xf) = szDzozmdt0(xf),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[159])]),
    [iquote('copy,159,flip.1')] ).

cnf(162,axiom,
    szRzazndt0(xf) = xU,
    file('LAT387+4.p',unknown),
    [] ).

cnf(164,plain,
    szDzozmdt0(xf) = xU,
    inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[162]),161]),
    [iquote('copy,162,demod,161')] ).

cnf(166,axiom,
    aSet0(xS),
    file('LAT387+4.p',unknown),
    [] ).

cnf(170,axiom,
    aSet0(xT),
    file('LAT387+4.p',unknown),
    [] ).

cnf(171,axiom,
    aSubsetOf0(xT,xS),
    file('LAT387+4.p',unknown),
    [] ).

cnf(176,axiom,
    aElementOf0(xp,xU),
    file('LAT387+4.p',unknown),
    [] ).

cnf(179,axiom,
    aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU),
    file('LAT387+4.p',unknown),
    [] ).

cnf(180,axiom,
    aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU),
    file('LAT387+4.p',unknown),
    [] ).

cnf(182,plain,
    szRzazndt0(xf) = xU,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[161]),164]),
    [iquote('back_demod,160,demod,164')] ).

cnf(189,plain,
    ( sdtlpdtrp0(xf,xp) != xp
    | ~ sdtlse_qdt0(dollar_c1,xp)
    | ~ sdtlse_qdt0(xp,dollar_c2) ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[121]),164]),176]),
    [iquote('back_demod,121,demod,164,unit_del,176')] ).

cnf(190,plain,
    ( sdtlpdtrp0(xf,xp) != xp
    | ~ sdtlse_qdt0(dollar_c1,xp)
    | aUpperBoundOfIn0(dollar_c2,xT,xS) ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[120]),164]),176]),
    [iquote('back_demod,120,demod,164,unit_del,176')] ).

cnf(192,plain,
    ( sdtlpdtrp0(xf,xp) != xp
    | ~ sdtlse_qdt0(dollar_c1,xp)
    | aElementOf0(dollar_c2,xS) ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[118]),164]),176]),
    [iquote('back_demod,118,demod,164,unit_del,176')] ).

cnf(193,plain,
    ( sdtlpdtrp0(xf,xp) != xp
    | aElementOf0(dollar_c1,xT)
    | ~ sdtlse_qdt0(xp,dollar_c2) ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[117]),164]),176]),
    [iquote('back_demod,117,demod,164,unit_del,176')] ).

cnf(194,plain,
    ( sdtlpdtrp0(xf,xp) != xp
    | aElementOf0(dollar_c1,xT)
    | aUpperBoundOfIn0(dollar_c2,xT,xS) ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[116]),164]),176]),
    [iquote('back_demod,116,demod,164,unit_del,176')] ).

cnf(196,plain,
    ( sdtlpdtrp0(xf,xp) != xp
    | aElementOf0(dollar_c1,xT)
    | aElementOf0(dollar_c2,xS) ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[114]),164]),176]),
    [iquote('back_demod,114,demod,164,unit_del,176')] ).

cnf(198,plain,
    ( ~ aElementOf0(A,xS)
    | aElementOf0(A,xU) ),
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[95]),164]),
    [iquote('back_demod,95,demod,164')] ).

cnf(199,plain,
    ( ~ aElementOf0(A,xU)
    | ~ aElementOf0(B,xU)
    | ~ sdtlse_qdt0(A,B)
    | sdtlse_qdt0(sdtlpdtrp0(xf,A),sdtlpdtrp0(xf,B)) ),
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[94]),164,164]),
    [iquote('back_demod,94,demod,164,164')] ).

cnf(225,plain,
    ( ~ aElementOf0(A,xU)
    | aElementOf0(sdtlpdtrp0(xf,A),xU) ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[164,43]),182]),157]),
    [iquote('para_from,163.1.1,43.2.2,demod,182,unit_del,157')] ).

cnf(299,plain,
    aElement0(xp),
    inference(hyper,[status(thm)],[176,1,155]),
    [iquote('hyper,176,1,155')] ).

cnf(347,plain,
    sdtlse_qdt0(sdtlpdtrp0(xf,xp),xp),
    inference(hyper,[status(thm)],[179,111]),
    [iquote('hyper,179,111')] ).

cnf(382,plain,
    ( aElementOf0(dollar_f17(xp),xT)
    | aElementOf0(xp,xP) ),
    inference(hyper,[status(thm)],[347,105,176]),
    [iquote('hyper,347,105,176')] ).

cnf(619,plain,
    ( aElementOf0(xp,xP)
    | sdtlse_qdt0(dollar_f17(xp),sdtlpdtrp0(xf,xp)) ),
    inference(hyper,[status(thm)],[382,113]),
    [iquote('hyper,382,113')] ).

cnf(624,plain,
    ( aElementOf0(xp,xP)
    | aElement0(dollar_f17(xp)) ),
    inference(hyper,[status(thm)],[382,1,170]),
    [iquote('hyper,382,1,170')] ).

cnf(1352,plain,
    aElementOf0(sdtlpdtrp0(xf,xp),xU),
    inference(hyper,[status(thm)],[225,176]),
    [iquote('hyper,225,176')] ).

cnf(1381,plain,
    aElement0(sdtlpdtrp0(xf,xp)),
    inference(hyper,[status(thm)],[1352,1,155]),
    [iquote('hyper,1352,1,155')] ).

cnf(1711,plain,
    sdtlse_qdt0(sdtlpdtrp0(xf,sdtlpdtrp0(xf,xp)),sdtlpdtrp0(xf,xp)),
    inference(hyper,[status(thm)],[199,1352,176,347]),
    [iquote('hyper,199,1352,176,347')] ).

cnf(2088,plain,
    ( aElementOf0(xp,xP)
    | sdtlse_qdt0(dollar_f17(xp),xp) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[619,10,624,1381,299,347])]),
    [iquote('hyper,619,10,624,1381,299,347,factor_simp')] ).

cnf(2089,plain,
    aElementOf0(xp,xP),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2088,106,176,347])]),
    [iquote('hyper,2088,106,176,347,factor_simp')] ).

cnf(2165,plain,
    aElementOf0(sdtlpdtrp0(xf,xp),xP),
    inference(hyper,[status(thm)],[1711,107,1352,180]),
    [iquote('hyper,1711,107,1352,180')] ).

cnf(2168,plain,
    sdtlse_qdt0(xp,sdtlpdtrp0(xf,xp)),
    inference(hyper,[status(thm)],[2165,108]),
    [iquote('hyper,2165,108')] ).

cnf(2172,plain,
    sdtlpdtrp0(xf,xp) = xp,
    inference(hyper,[status(thm)],[2168,9,1381,299,347]),
    [iquote('hyper,2168,9,1381,299,347')] ).

cnf(2174,plain,
    ( aElementOf0(dollar_c1,xT)
    | aElementOf0(dollar_c2,xS) ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[196]),2172]),154]),
    [iquote('back_demod,196,demod,2172,unit_del,154')] ).

cnf(2175,plain,
    ( aElementOf0(dollar_c1,xT)
    | aUpperBoundOfIn0(dollar_c2,xT,xS) ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[194]),2172]),154]),
    [iquote('back_demod,194,demod,2172,unit_del,154')] ).

cnf(2176,plain,
    ( aElementOf0(dollar_c1,xT)
    | ~ sdtlse_qdt0(xp,dollar_c2) ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[193]),2172]),154]),
    [iquote('back_demod,193,demod,2172,unit_del,154')] ).

cnf(2177,plain,
    ( ~ sdtlse_qdt0(dollar_c1,xp)
    | aElementOf0(dollar_c2,xS) ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[192]),2172]),154]),
    [iquote('back_demod,192,demod,2172,unit_del,154')] ).

cnf(2178,plain,
    ( ~ sdtlse_qdt0(dollar_c1,xp)
    | aUpperBoundOfIn0(dollar_c2,xT,xS) ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[190]),2172]),154]),
    [iquote('back_demod,190,demod,2172,unit_del,154')] ).

cnf(2179,plain,
    ( ~ sdtlse_qdt0(dollar_c1,xp)
    | ~ sdtlse_qdt0(xp,dollar_c2) ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[189]),2172]),154]),
    [iquote('back_demod,189,demod,2172,unit_del,154')] ).

cnf(2183,plain,
    ( ~ aElementOf0(A,xT)
    | sdtlse_qdt0(A,xp) ),
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[113]),2172]),
    [iquote('back_demod,113,demod,2172')] ).

cnf(2204,plain,
    ( aElementOf0(dollar_c2,xS)
    | sdtlse_qdt0(dollar_c1,xp) ),
    inference(hyper,[status(thm)],[2174,103,2089]),
    [iquote('hyper,2174,103,2089')] ).

cnf(2216,plain,
    aElementOf0(dollar_c2,xS),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2204,2177])]),
    [iquote('hyper,2204,2177,factor_simp')] ).

cnf(2217,plain,
    aElementOf0(dollar_c2,xU),
    inference(hyper,[status(thm)],[2216,198]),
    [iquote('hyper,2216,198')] ).

cnf(2219,plain,
    sdtlpdtrp0(xf,dollar_c2) = dollar_c2,
    inference(hyper,[status(thm)],[2216,96]),
    [iquote('hyper,2216,96')] ).

cnf(2225,plain,
    aElement0(dollar_c2),
    inference(hyper,[status(thm)],[2216,1,166]),
    [iquote('hyper,2216,1,166')] ).

cnf(2227,plain,
    sdtlse_qdt0(dollar_c2,dollar_c2),
    inference(hyper,[status(thm)],[2225,8]),
    [iquote('hyper,2225,8')] ).

cnf(2242,plain,
    ( ~ sdtlse_qdt0(dollar_f17(dollar_c2),dollar_c2)
    | aElementOf0(dollar_c2,xP) ),
    inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[2219,106]),2217,2227]),
    [iquote('para_from,2219.1.1,106.2.1,unit_del,2217,2227')] ).

cnf(2243,plain,
    ( aElementOf0(dollar_f17(dollar_c2),xT)
    | aElementOf0(dollar_c2,xP) ),
    inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[2219,105]),2217,2227]),
    [iquote('para_from,2219.1.1,105.2.1,unit_del,2217,2227')] ).

cnf(2244,plain,
    ( aUpperBoundOfIn0(dollar_c2,xT,xS)
    | sdtlse_qdt0(dollar_c1,xp) ),
    inference(hyper,[status(thm)],[2175,2183]),
    [iquote('hyper,2175,2183')] ).

cnf(2260,plain,
    aUpperBoundOfIn0(dollar_c2,xT,xS),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2244,2178])]),
    [iquote('hyper,2244,2178,factor_simp')] ).

cnf(2261,plain,
    ( sdtlse_qdt0(dollar_f17(dollar_c2),dollar_c2)
    | aElementOf0(dollar_c2,xP) ),
    inference(hyper,[status(thm)],[2260,16,166,171,2243]),
    [iquote('hyper,2260,16,166,171,2243')] ).

cnf(2280,plain,
    aElementOf0(dollar_c2,xP),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2261,2242])]),
    [iquote('hyper,2261,2242,factor_simp')] ).

cnf(2281,plain,
    sdtlse_qdt0(xp,dollar_c2),
    inference(hyper,[status(thm)],[2280,108]),
    [iquote('hyper,2280,108')] ).

cnf(2286,plain,
    aElementOf0(dollar_c1,xT),
    inference(hyper,[status(thm)],[2281,2176]),
    [iquote('hyper,2281,2176')] ).

cnf(2293,plain,
    sdtlse_qdt0(dollar_c1,xp),
    inference(hyper,[status(thm)],[2286,2183]),
    [iquote('hyper,2286,2183')] ).

cnf(2308,plain,
    $false,
    inference(hyper,[status(thm)],[2293,2179,2281]),
    [iquote('hyper,2293,2179,2281')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LAT387+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 08:17:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.91/2.13  ----- Otter 3.3f, August 2004 -----
% 1.91/2.13  The process was started by sandbox2 on n014.cluster.edu,
% 1.91/2.13  Wed Jul 27 08:17:54 2022
% 1.91/2.13  The command was "./otter".  The process ID is 955.
% 1.91/2.13  
% 1.91/2.13  set(prolog_style_variables).
% 1.91/2.13  set(auto).
% 1.91/2.13     dependent: set(auto1).
% 1.91/2.13     dependent: set(process_input).
% 1.91/2.13     dependent: clear(print_kept).
% 1.91/2.13     dependent: clear(print_new_demod).
% 1.91/2.13     dependent: clear(print_back_demod).
% 1.91/2.13     dependent: clear(print_back_sub).
% 1.91/2.13     dependent: set(control_memory).
% 1.91/2.13     dependent: assign(max_mem, 12000).
% 1.91/2.13     dependent: assign(pick_given_ratio, 4).
% 1.91/2.13     dependent: assign(stats_level, 1).
% 1.91/2.13     dependent: assign(max_seconds, 10800).
% 1.91/2.13  clear(print_given).
% 1.91/2.13  
% 1.91/2.13  formula_list(usable).
% 1.91/2.13  all A (A=A).
% 1.91/2.13  all W0 (aSet0(W0)->$T).
% 1.91/2.13  all W0 (aElement0(W0)->$T).
% 1.91/2.13  all W0 (aSet0(W0)-> (all W1 (aElementOf0(W1,W0)->aElement0(W1)))).
% 1.91/2.13  all W0 (aSet0(W0)-> (isEmpty0(W0)<-> -(exists W1 aElementOf0(W1,W0)))).
% 1.91/2.13  all W0 (aSet0(W0)-> (all W1 (aSubsetOf0(W1,W0)<->aSet0(W1)& (all W2 (aElementOf0(W2,W1)->aElementOf0(W2,W0)))))).
% 1.91/2.13  all W0 W1 (aElement0(W0)&aElement0(W1)-> (sdtlse_qdt0(W0,W1)->$T)).
% 1.91/2.13  all W0 (aElement0(W0)->sdtlse_qdt0(W0,W0)).
% 1.91/2.13  all W0 W1 (aElement0(W0)&aElement0(W1)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W0)->W0=W1)).
% 1.91/2.13  all W0 W1 W2 (aElement0(W0)&aElement0(W1)&aElement0(W2)-> (sdtlse_qdt0(W0,W1)&sdtlse_qdt0(W1,W2)->sdtlse_qdt0(W0,W2))).
% 1.91/2.13  all W0 (aSet0(W0)-> (all W1 (aSubsetOf0(W1,W0)-> (all W2 (aLowerBoundOfIn0(W2,W1,W0)<->aElementOf0(W2,W0)& (all W3 (aElementOf0(W3,W1)->sdtlse_qdt0(W2,W3)))))))).
% 1.91/2.13  all W0 (aSet0(W0)-> (all W1 (aSubsetOf0(W1,W0)-> (all W2 (aUpperBoundOfIn0(W2,W1,W0)<->aElementOf0(W2,W0)& (all W3 (aElementOf0(W3,W1)->sdtlse_qdt0(W3,W2)))))))).
% 1.91/2.13  all W0 (aSet0(W0)-> (all W1 (aSubsetOf0(W1,W0)-> (all W2 (aInfimumOfIn0(W2,W1,W0)<->aElementOf0(W2,W0)&aLowerBoundOfIn0(W2,W1,W0)& (all W3 (aLowerBoundOfIn0(W3,W1,W0)->sdtlse_qdt0(W3,W2)))))))).
% 1.91/2.13  all W0 (aSet0(W0)-> (all W1 (aSubsetOf0(W1,W0)-> (all W2 (aSupremumOfIn0(W2,W1,W0)<->aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0)& (all W3 (aUpperBoundOfIn0(W3,W1,W0)->sdtlse_qdt0(W2,W3)))))))).
% 1.91/2.13  all W0 (aSet0(W0)-> (all W1 (aSubsetOf0(W1,W0)-> (all W2 W3 (aSupremumOfIn0(W2,W1,W0)&aSupremumOfIn0(W3,W1,W0)->W2=W3))))).
% 1.91/2.13  all W0 (aSet0(W0)-> (all W1 (aSubsetOf0(W1,W0)-> (all W2 W3 (aInfimumOfIn0(W2,W1,W0)&aInfimumOfIn0(W3,W1,W0)->W2=W3))))).
% 1.91/2.13  all W0 (aCompleteLattice0(W0)<->aSet0(W0)& (all W1 (aSubsetOf0(W1,W0)-> (exists W2 (aInfimumOfIn0(W2,W1,W0)& (exists W3 aSupremumOfIn0(W3,W1,W0))))))).
% 1.91/2.13  all W0 (aFunction0(W0)->$T).
% 1.91/2.13  all W0 (aFunction0(W0)->aSet0(szDzozmdt0(W0))).
% 1.91/2.13  all W0 (aFunction0(W0)->aSet0(szRzazndt0(W0))).
% 1.91/2.13  all W0 W1 (aFunction0(W0)&aSet0(W1)-> (isOn0(W0,W1)<->szDzozmdt0(W0)=szRzazndt0(W0)&szRzazndt0(W0)=W1)).
% 1.91/2.13  all W0 (aFunction0(W0)-> (all W1 (aElementOf0(W1,szDzozmdt0(W0))->aElementOf0(sdtlpdtrp0(W0,W1),szRzazndt0(W0))))).
% 1.91/2.13  all W0 (aFunction0(W0)-> (all W1 (aFixedPointOf0(W1,W0)<->aElementOf0(W1,szDzozmdt0(W0))&sdtlpdtrp0(W0,W1)=W1))).
% 1.91/2.13  all W0 (aFunction0(W0)-> (isMonotone0(W0)<-> (all W1 W2 (aElementOf0(W1,szDzozmdt0(W0))&aElementOf0(W2,szDzozmdt0(W0))-> (sdtlse_qdt0(W1,W2)->sdtlse_qdt0(sdtlpdtrp0(W0,W1),sdtlpdtrp0(W0,W2))))))).
% 1.91/2.13  aSet0(xU).
% 1.91/2.13  all W0 (aSet0(W0)& (all W1 (aElementOf0(W1,W0)->aElementOf0(W1,xU)))|aSubsetOf0(W0,xU)-> (exists W1 (aElementOf0(W1,xU)&aElementOf0(W1,xU)& (all W2 (aElementOf0(W2,W0)->sdtlse_qdt0(W1,W2)))&aLowerBoundOfIn0(W1,W0,xU)& (all W2 (aElementOf0(W2,xU)& (all W3 (aElementOf0(W3,W0)->sdtlse_qdt0(W2,W3)))|aLowerBoundOfIn0(W2,W0,xU)->sdtlse_qdt0(W2,W1)))&aInfimumOfIn0(W1,W0,xU)& (exists W2 (aElementOf0(W2,xU)&aElementOf0(W2,xU)& (all W3 (aElementOf0(W3,W0)->sdtlse_qdt0(W3,W2)))&aUpperBoundOfIn0(W2,W0,xU)& (all W3 (aElementOf0(W3,xU)& (all W4 (aElementOf0(W4,W0)->sdtlse_qdt0(W4,W3)))|aUpperBoundOfIn0(W3,W0,xU)->sdtlse_qdt0(W2,W3)))&aSupremumOfIn0(W2,W0,xU)))))).
% 1.91/2.13  aCompleteLattice0(xU).
% 1.91/2.13  aFunction0(xf).
% 1.91/2.13  all W0 W1 (aElementOf0(W0,szDzozmdt0(xf))&aElementOf0(W1,szDzozmdt0(xf))-> (sdtlse_qdt0(W0,W1)->sdtlse_qdt0(sdtlpdtrp0(xf,W0),sdtlpdtrp0(xf,W1)))).
% 1.91/2.13  isMonotone0(xf).
% 1.91/2.13  szDzozmdt0(xf)=szRzazndt0(xf).
% 1.91/2.13  szRzazndt0(xf)=xU.
% 1.91/2.13  isOn0(xf,xU).
% 1.91/2.13  aSet0(xS).
% 1.91/2.13  all W0 ((aElementOf0(W0,xS)->aElementOf0(W0,szDzozmdt0(xf))&sdtlpdtrp0(xf,W0)=W0&aFixedPointOf0(W0,xf))& (aElementOf0(W0,szDzozmdt0(xf))&sdtlpdtrp0(xf,W0)=W0|aFixedPointOf0(W0,xf)->aElementOf0(W0,xS))).
% 1.91/2.13  xS=cS1142(xf).
% 1.91/2.13  aSet0(xT).
% 1.91/2.13  all W0 (aElementOf0(W0,xT)->aElementOf0(W0,xS)).
% 1.91/2.13  aSubsetOf0(xT,xS).
% 1.91/2.13  aSet0(xP).
% 1.91/2.13  all W0 ((aElementOf0(W0,xP)->aElementOf0(W0,xU)&sdtlse_qdt0(sdtlpdtrp0(xf,W0),W0)& (all W1 (aElementOf0(W1,xT)->sdtlse_qdt0(W1,W0)))&aUpperBoundOfIn0(W0,xT,xU))& (aElementOf0(W0,xU)&sdtlse_qdt0(sdtlpdtrp0(xf,W0),W0)& ((all W1 (aElementOf0(W1,xT)->sdtlse_qdt0(W1,W0)))|aUpperBoundOfIn0(W0,xT,xU))->aElementOf0(W0,xP))).
% 1.91/2.13  xP=cS1241(xU,xf,xT).
% 1.91/2.13  aElementOf0(xp,xU).
% 1.91/2.13  aElementOf0(xp,xU).
% 1.91/2.13  all W0 (aElementOf0(W0,xP)->sdtlse_qdt0(xp,W0)).
% 1.91/2.13  aLowerBoundOfIn0(xp,xP,xU).
% 1.91/2.13  all W0 (aElementOf0(W0,xU)& (all W1 (aElementOf0(W1,xP)->sdtlse_qdt0(W0,W1)))|aLowerBoundOfIn0(W0,xP,xU)->sdtlse_qdt0(W0,xp)).
% 1.91/2.13  aInfimumOfIn0(xp,xP,xU).
% 1.91/2.13  all W0 (aElementOf0(W0,xP)->sdtlse_qdt0(sdtlpdtrp0(xf,xp),W0)).
% 1.91/2.13  aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU).
% 1.91/2.13  all W0 (aElementOf0(W0,xT)->sdtlse_qdt0(W0,sdtlpdtrp0(xf,xp))).
% 1.91/2.13  aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU).
% 1.91/2.13  -((aElementOf0(xp,szDzozmdt0(xf))&sdtlpdtrp0(xf,xp)=xp|aFixedPointOf0(xp,xf))& (((all W0 (aElementOf0(W0,xT)->sdtlse_qdt0(W0,xp)))|aUpperBoundOfIn0(xp,xT,xS))& (all W0 (aElementOf0(W0,xS)& (all W1 (aElementOf0(W1,xT)->sdtlse_qdt0(W1,W0)))&aUpperBoundOfIn0(W0,xT,xS)->sdtlse_qdt0(xp,W0)))|aSupremumOfIn0(xp,xT,xS))).
% 1.91/2.13  end_of_list.
% 1.91/2.13  
% 1.91/2.13  -------> usable clausifies to:
% 1.91/2.13  
% 1.91/2.13  list(usable).
% 1.91/2.13  0 [] A=A.
% 1.91/2.13  0 [] -aSet0(W0)|$T.
% 1.91/2.13  0 [] -aElement0(W0)|$T.
% 1.91/2.13  0 [] -aSet0(W0)| -aElementOf0(W1,W0)|aElement0(W1).
% 1.91/2.13  0 [] -aSet0(W0)| -isEmpty0(W0)| -aElementOf0(W1,W0).
% 1.91/2.13  0 [] -aSet0(W0)|isEmpty0(W0)|aElementOf0($f1(W0),W0).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)|aSet0(W1).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aElementOf0(W2,W1)|aElementOf0(W2,W0).
% 1.91/2.13  0 [] -aSet0(W0)|aSubsetOf0(W1,W0)| -aSet0(W1)|aElementOf0($f2(W0,W1),W1).
% 1.91/2.13  0 [] -aSet0(W0)|aSubsetOf0(W1,W0)| -aSet0(W1)| -aElementOf0($f2(W0,W1),W0).
% 1.91/2.13  0 [] -aElement0(W0)| -aElement0(W1)| -sdtlse_qdt0(W0,W1)|$T.
% 1.91/2.13  0 [] -aElement0(W0)|sdtlse_qdt0(W0,W0).
% 1.91/2.13  0 [] -aElement0(W0)| -aElement0(W1)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W0)|W0=W1.
% 1.91/2.13  0 [] -aElement0(W0)| -aElement0(W1)| -aElement0(W2)| -sdtlse_qdt0(W0,W1)| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(W0,W2).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aLowerBoundOfIn0(W2,W1,W0)|aElementOf0(W2,W0).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aLowerBoundOfIn0(W2,W1,W0)| -aElementOf0(W3,W1)|sdtlse_qdt0(W2,W3).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)|aLowerBoundOfIn0(W2,W1,W0)| -aElementOf0(W2,W0)|aElementOf0($f3(W0,W1,W2),W1).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)|aLowerBoundOfIn0(W2,W1,W0)| -aElementOf0(W2,W0)| -sdtlse_qdt0(W2,$f3(W0,W1,W2)).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aUpperBoundOfIn0(W2,W1,W0)|aElementOf0(W2,W0).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aUpperBoundOfIn0(W2,W1,W0)| -aElementOf0(W3,W1)|sdtlse_qdt0(W3,W2).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)|aUpperBoundOfIn0(W2,W1,W0)| -aElementOf0(W2,W0)|aElementOf0($f4(W0,W1,W2),W1).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)|aUpperBoundOfIn0(W2,W1,W0)| -aElementOf0(W2,W0)| -sdtlse_qdt0($f4(W0,W1,W2),W2).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aInfimumOfIn0(W2,W1,W0)|aElementOf0(W2,W0).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aInfimumOfIn0(W2,W1,W0)|aLowerBoundOfIn0(W2,W1,W0).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aInfimumOfIn0(W2,W1,W0)| -aLowerBoundOfIn0(W3,W1,W0)|sdtlse_qdt0(W3,W2).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)|aInfimumOfIn0(W2,W1,W0)| -aElementOf0(W2,W0)| -aLowerBoundOfIn0(W2,W1,W0)|aLowerBoundOfIn0($f5(W0,W1,W2),W1,W0).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)|aInfimumOfIn0(W2,W1,W0)| -aElementOf0(W2,W0)| -aLowerBoundOfIn0(W2,W1,W0)| -sdtlse_qdt0($f5(W0,W1,W2),W2).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aSupremumOfIn0(W2,W1,W0)|aElementOf0(W2,W0).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aSupremumOfIn0(W2,W1,W0)|aUpperBoundOfIn0(W2,W1,W0).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aSupremumOfIn0(W2,W1,W0)| -aUpperBoundOfIn0(W3,W1,W0)|sdtlse_qdt0(W2,W3).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)|aSupremumOfIn0(W2,W1,W0)| -aElementOf0(W2,W0)| -aUpperBoundOfIn0(W2,W1,W0)|aUpperBoundOfIn0($f6(W0,W1,W2),W1,W0).
% 1.91/2.13  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)|aSupremumOfIn0(W2,W1,W0)| -aElementOf0(W2,W0)| -aUpperBoundOfIn0(W2,W1,W0)| -sdtlse_qdt0(W2,$f6(W0,W1,W2)).
% 1.91/2.14  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aSupremumOfIn0(W2,W1,W0)| -aSupremumOfIn0(W3,W1,W0)|W2=W3.
% 1.91/2.14  0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aInfimumOfIn0(W2,W1,W0)| -aInfimumOfIn0(W3,W1,W0)|W2=W3.
% 1.91/2.14  0 [] -aCompleteLattice0(W0)|aSet0(W0).
% 1.91/2.14  0 [] -aCompleteLattice0(W0)| -aSubsetOf0(W1,W0)|aInfimumOfIn0($f8(W0,W1),W1,W0).
% 1.91/2.14  0 [] -aCompleteLattice0(W0)| -aSubsetOf0(W1,W0)|aSupremumOfIn0($f7(W0,W1),W1,W0).
% 1.91/2.14  0 [] aCompleteLattice0(W0)| -aSet0(W0)|aSubsetOf0($f9(W0),W0).
% 1.91/2.14  0 [] aCompleteLattice0(W0)| -aSet0(W0)| -aInfimumOfIn0(W2,$f9(W0),W0)| -aSupremumOfIn0(W3,$f9(W0),W0).
% 1.91/2.14  0 [] -aFunction0(W0)|$T.
% 1.91/2.14  0 [] -aFunction0(W0)|aSet0(szDzozmdt0(W0)).
% 1.91/2.14  0 [] -aFunction0(W0)|aSet0(szRzazndt0(W0)).
% 1.91/2.14  0 [] -aFunction0(W0)| -aSet0(W1)| -isOn0(W0,W1)|szDzozmdt0(W0)=szRzazndt0(W0).
% 1.91/2.14  0 [] -aFunction0(W0)| -aSet0(W1)| -isOn0(W0,W1)|szRzazndt0(W0)=W1.
% 1.91/2.14  0 [] -aFunction0(W0)| -aSet0(W1)|isOn0(W0,W1)|szDzozmdt0(W0)!=szRzazndt0(W0)|szRzazndt0(W0)!=W1.
% 1.91/2.14  0 [] -aFunction0(W0)| -aElementOf0(W1,szDzozmdt0(W0))|aElementOf0(sdtlpdtrp0(W0,W1),szRzazndt0(W0)).
% 1.91/2.14  0 [] -aFunction0(W0)| -aFixedPointOf0(W1,W0)|aElementOf0(W1,szDzozmdt0(W0)).
% 1.91/2.14  0 [] -aFunction0(W0)| -aFixedPointOf0(W1,W0)|sdtlpdtrp0(W0,W1)=W1.
% 1.91/2.14  0 [] -aFunction0(W0)|aFixedPointOf0(W1,W0)| -aElementOf0(W1,szDzozmdt0(W0))|sdtlpdtrp0(W0,W1)!=W1.
% 1.91/2.14  0 [] -aFunction0(W0)| -isMonotone0(W0)| -aElementOf0(W1,szDzozmdt0(W0))| -aElementOf0(W2,szDzozmdt0(W0))| -sdtlse_qdt0(W1,W2)|sdtlse_qdt0(sdtlpdtrp0(W0,W1),sdtlpdtrp0(W0,W2)).
% 1.91/2.14  0 [] -aFunction0(W0)|isMonotone0(W0)|aElementOf0($f11(W0),szDzozmdt0(W0)).
% 1.91/2.14  0 [] -aFunction0(W0)|isMonotone0(W0)|aElementOf0($f10(W0),szDzozmdt0(W0)).
% 1.91/2.14  0 [] -aFunction0(W0)|isMonotone0(W0)|sdtlse_qdt0($f11(W0),$f10(W0)).
% 1.91/2.14  0 [] -aFunction0(W0)|isMonotone0(W0)| -sdtlse_qdt0(sdtlpdtrp0(W0,$f11(W0)),sdtlpdtrp0(W0,$f10(W0))).
% 1.91/2.14  0 [] aSet0(xU).
% 1.91/2.14  0 [] -aSet0(W0)|aElementOf0($f12(W0),W0)|aElementOf0($f16(W0),xU).
% 1.91/2.14  0 [] -aSet0(W0)|aElementOf0($f12(W0),W0)| -aElementOf0(W2,W0)|sdtlse_qdt0($f16(W0),W2).
% 1.91/2.14  0 [] -aSet0(W0)|aElementOf0($f12(W0),W0)|aLowerBoundOfIn0($f16(W0),W0,xU).
% 1.91/2.14  0 [] -aSet0(W0)|aElementOf0($f12(W0),W0)| -aElementOf0(X1,xU)|aElementOf0($f13(W0,X1),W0)|sdtlse_qdt0(X1,$f16(W0)).
% 1.91/2.14  0 [] -aSet0(W0)|aElementOf0($f12(W0),W0)| -aElementOf0(X1,xU)| -sdtlse_qdt0(X1,$f13(W0,X1))|sdtlse_qdt0(X1,$f16(W0)).
% 1.91/2.14  0 [] -aSet0(W0)|aElementOf0($f12(W0),W0)| -aLowerBoundOfIn0(X1,W0,xU)|sdtlse_qdt0(X1,$f16(W0)).
% 1.91/2.14  0 [] -aSet0(W0)|aElementOf0($f12(W0),W0)|aInfimumOfIn0($f16(W0),W0,xU).
% 1.91/2.14  0 [] -aSet0(W0)|aElementOf0($f12(W0),W0)|aElementOf0($f15(W0),xU).
% 1.91/2.14  0 [] -aSet0(W0)|aElementOf0($f12(W0),W0)| -aElementOf0(W3,W0)|sdtlse_qdt0(W3,$f15(W0)).
% 1.91/2.14  0 [] -aSet0(W0)|aElementOf0($f12(W0),W0)|aUpperBoundOfIn0($f15(W0),W0,xU).
% 1.91/2.14  0 [] -aSet0(W0)|aElementOf0($f12(W0),W0)| -aElementOf0(X2,xU)|aElementOf0($f14(W0,X2),W0)|sdtlse_qdt0($f15(W0),X2).
% 1.91/2.14  0 [] -aSet0(W0)|aElementOf0($f12(W0),W0)| -aElementOf0(X2,xU)| -sdtlse_qdt0($f14(W0,X2),X2)|sdtlse_qdt0($f15(W0),X2).
% 1.91/2.14  0 [] -aSet0(W0)|aElementOf0($f12(W0),W0)| -aUpperBoundOfIn0(X2,W0,xU)|sdtlse_qdt0($f15(W0),X2).
% 1.91/2.14  0 [] -aSet0(W0)|aElementOf0($f12(W0),W0)|aSupremumOfIn0($f15(W0),W0,xU).
% 1.91/2.14  0 [] -aSet0(W0)| -aElementOf0($f12(W0),xU)|aElementOf0($f16(W0),xU).
% 1.91/2.14  0 [] -aSet0(W0)| -aElementOf0($f12(W0),xU)| -aElementOf0(W2,W0)|sdtlse_qdt0($f16(W0),W2).
% 1.91/2.14  0 [] -aSet0(W0)| -aElementOf0($f12(W0),xU)|aLowerBoundOfIn0($f16(W0),W0,xU).
% 1.91/2.14  0 [] -aSet0(W0)| -aElementOf0($f12(W0),xU)| -aElementOf0(X1,xU)|aElementOf0($f13(W0,X1),W0)|sdtlse_qdt0(X1,$f16(W0)).
% 1.91/2.14  0 [] -aSet0(W0)| -aElementOf0($f12(W0),xU)| -aElementOf0(X1,xU)| -sdtlse_qdt0(X1,$f13(W0,X1))|sdtlse_qdt0(X1,$f16(W0)).
% 1.91/2.14  0 [] -aSet0(W0)| -aElementOf0($f12(W0),xU)| -aLowerBoundOfIn0(X1,W0,xU)|sdtlse_qdt0(X1,$f16(W0)).
% 1.91/2.14  0 [] -aSet0(W0)| -aElementOf0($f12(W0),xU)|aInfimumOfIn0($f16(W0),W0,xU).
% 1.91/2.14  0 [] -aSet0(W0)| -aElementOf0($f12(W0),xU)|aElementOf0($f15(W0),xU).
% 1.91/2.14  0 [] -aSet0(W0)| -aElementOf0($f12(W0),xU)| -aElementOf0(W3,W0)|sdtlse_qdt0(W3,$f15(W0)).
% 1.91/2.14  0 [] -aSet0(W0)| -aElementOf0($f12(W0),xU)|aUpperBoundOfIn0($f15(W0),W0,xU).
% 1.91/2.14  0 [] -aSet0(W0)| -aElementOf0($f12(W0),xU)| -aElementOf0(X2,xU)|aElementOf0($f14(W0,X2),W0)|sdtlse_qdt0($f15(W0),X2).
% 1.91/2.14  0 [] -aSet0(W0)| -aElementOf0($f12(W0),xU)| -aElementOf0(X2,xU)| -sdtlse_qdt0($f14(W0,X2),X2)|sdtlse_qdt0($f15(W0),X2).
% 1.91/2.14  0 [] -aSet0(W0)| -aElementOf0($f12(W0),xU)| -aUpperBoundOfIn0(X2,W0,xU)|sdtlse_qdt0($f15(W0),X2).
% 1.91/2.14  0 [] -aSet0(W0)| -aElementOf0($f12(W0),xU)|aSupremumOfIn0($f15(W0),W0,xU).
% 1.91/2.14  0 [] -aSubsetOf0(W0,xU)|aElementOf0($f16(W0),xU).
% 1.91/2.14  0 [] -aSubsetOf0(W0,xU)| -aElementOf0(W2,W0)|sdtlse_qdt0($f16(W0),W2).
% 1.91/2.14  0 [] -aSubsetOf0(W0,xU)|aLowerBoundOfIn0($f16(W0),W0,xU).
% 1.91/2.14  0 [] -aSubsetOf0(W0,xU)| -aElementOf0(X1,xU)|aElementOf0($f13(W0,X1),W0)|sdtlse_qdt0(X1,$f16(W0)).
% 1.91/2.14  0 [] -aSubsetOf0(W0,xU)| -aElementOf0(X1,xU)| -sdtlse_qdt0(X1,$f13(W0,X1))|sdtlse_qdt0(X1,$f16(W0)).
% 1.91/2.14  0 [] -aSubsetOf0(W0,xU)| -aLowerBoundOfIn0(X1,W0,xU)|sdtlse_qdt0(X1,$f16(W0)).
% 1.91/2.14  0 [] -aSubsetOf0(W0,xU)|aInfimumOfIn0($f16(W0),W0,xU).
% 1.91/2.14  0 [] -aSubsetOf0(W0,xU)|aElementOf0($f15(W0),xU).
% 1.91/2.14  0 [] -aSubsetOf0(W0,xU)| -aElementOf0(W3,W0)|sdtlse_qdt0(W3,$f15(W0)).
% 1.91/2.14  0 [] -aSubsetOf0(W0,xU)|aUpperBoundOfIn0($f15(W0),W0,xU).
% 1.91/2.14  0 [] -aSubsetOf0(W0,xU)| -aElementOf0(X2,xU)|aElementOf0($f14(W0,X2),W0)|sdtlse_qdt0($f15(W0),X2).
% 1.91/2.14  0 [] -aSubsetOf0(W0,xU)| -aElementOf0(X2,xU)| -sdtlse_qdt0($f14(W0,X2),X2)|sdtlse_qdt0($f15(W0),X2).
% 1.91/2.14  0 [] -aSubsetOf0(W0,xU)| -aUpperBoundOfIn0(X2,W0,xU)|sdtlse_qdt0($f15(W0),X2).
% 1.91/2.14  0 [] -aSubsetOf0(W0,xU)|aSupremumOfIn0($f15(W0),W0,xU).
% 1.91/2.14  0 [] aCompleteLattice0(xU).
% 1.91/2.14  0 [] aFunction0(xf).
% 1.91/2.14  0 [] -aElementOf0(W0,szDzozmdt0(xf))| -aElementOf0(W1,szDzozmdt0(xf))| -sdtlse_qdt0(W0,W1)|sdtlse_qdt0(sdtlpdtrp0(xf,W0),sdtlpdtrp0(xf,W1)).
% 1.91/2.14  0 [] isMonotone0(xf).
% 1.91/2.14  0 [] szDzozmdt0(xf)=szRzazndt0(xf).
% 1.91/2.14  0 [] szRzazndt0(xf)=xU.
% 1.91/2.14  0 [] isOn0(xf,xU).
% 1.91/2.14  0 [] aSet0(xS).
% 1.91/2.14  0 [] -aElementOf0(W0,xS)|aElementOf0(W0,szDzozmdt0(xf)).
% 1.91/2.14  0 [] -aElementOf0(W0,xS)|sdtlpdtrp0(xf,W0)=W0.
% 1.91/2.14  0 [] -aElementOf0(W0,xS)|aFixedPointOf0(W0,xf).
% 1.91/2.14  0 [] -aElementOf0(W0,szDzozmdt0(xf))|sdtlpdtrp0(xf,W0)!=W0|aElementOf0(W0,xS).
% 1.91/2.14  0 [] -aFixedPointOf0(W0,xf)|aElementOf0(W0,xS).
% 1.91/2.14  0 [] xS=cS1142(xf).
% 1.91/2.14  0 [] aSet0(xT).
% 1.91/2.14  0 [] -aElementOf0(W0,xT)|aElementOf0(W0,xS).
% 1.91/2.14  0 [] aSubsetOf0(xT,xS).
% 1.91/2.14  0 [] aSet0(xP).
% 1.91/2.14  0 [] -aElementOf0(W0,xP)|aElementOf0(W0,xU).
% 1.91/2.14  0 [] -aElementOf0(W0,xP)|sdtlse_qdt0(sdtlpdtrp0(xf,W0),W0).
% 1.91/2.14  0 [] -aElementOf0(W0,xP)| -aElementOf0(W1,xT)|sdtlse_qdt0(W1,W0).
% 1.91/2.14  0 [] -aElementOf0(W0,xP)|aUpperBoundOfIn0(W0,xT,xU).
% 1.91/2.14  0 [] -aElementOf0(W0,xU)| -sdtlse_qdt0(sdtlpdtrp0(xf,W0),W0)|aElementOf0($f17(W0),xT)|aElementOf0(W0,xP).
% 1.91/2.14  0 [] -aElementOf0(W0,xU)| -sdtlse_qdt0(sdtlpdtrp0(xf,W0),W0)| -sdtlse_qdt0($f17(W0),W0)|aElementOf0(W0,xP).
% 1.91/2.14  0 [] -aElementOf0(W0,xU)| -sdtlse_qdt0(sdtlpdtrp0(xf,W0),W0)| -aUpperBoundOfIn0(W0,xT,xU)|aElementOf0(W0,xP).
% 1.91/2.14  0 [] xP=cS1241(xU,xf,xT).
% 1.91/2.14  0 [] aElementOf0(xp,xU).
% 1.91/2.14  0 [] aElementOf0(xp,xU).
% 1.91/2.14  0 [] -aElementOf0(W0,xP)|sdtlse_qdt0(xp,W0).
% 1.91/2.14  0 [] aLowerBoundOfIn0(xp,xP,xU).
% 1.91/2.14  0 [] -aElementOf0(W0,xU)|aElementOf0($f18(W0),xP)|sdtlse_qdt0(W0,xp).
% 1.91/2.14  0 [] -aElementOf0(W0,xU)| -sdtlse_qdt0(W0,$f18(W0))|sdtlse_qdt0(W0,xp).
% 1.91/2.14  0 [] -aLowerBoundOfIn0(W0,xP,xU)|sdtlse_qdt0(W0,xp).
% 1.91/2.14  0 [] aInfimumOfIn0(xp,xP,xU).
% 1.91/2.14  0 [] -aElementOf0(W0,xP)|sdtlse_qdt0(sdtlpdtrp0(xf,xp),W0).
% 1.91/2.14  0 [] aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU).
% 1.91/2.14  0 [] -aElementOf0(W0,xT)|sdtlse_qdt0(W0,sdtlpdtrp0(xf,xp)).
% 1.91/2.14  0 [] aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU).
% 1.91/2.14  0 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp|aElementOf0($c1,xT)|aElementOf0($c2,xS).
% 1.91/2.14  0 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp|aElementOf0($c1,xT)| -aElementOf0(W1,xT)|sdtlse_qdt0(W1,$c2).
% 1.91/2.14  0 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp|aElementOf0($c1,xT)|aUpperBoundOfIn0($c2,xT,xS).
% 1.91/2.14  0 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp|aElementOf0($c1,xT)| -sdtlse_qdt0(xp,$c2).
% 1.91/2.14  0 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -sdtlse_qdt0($c1,xp)|aElementOf0($c2,xS).
% 1.91/2.14  0 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -sdtlse_qdt0($c1,xp)| -aElementOf0(W1,xT)|sdtlse_qdt0(W1,$c2).
% 1.91/2.14  0 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -sdtlse_qdt0($c1,xp)|aUpperBoundOfIn0($c2,xT,xS).
% 1.91/2.14  0 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -sdtlse_qdt0($c1,xp)| -sdtlse_qdt0(xp,$c2).
% 1.91/2.14  0 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -aUpperBoundOfIn0(xp,xT,xS)|aElementOf0($c2,xS).
% 1.91/2.14  0 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -aUpperBoundOfIn0(xp,xT,xS)| -aElementOf0(W1,xT)|sdtlse_qdt0(W1,$c2).
% 1.91/2.14  0 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -aUpperBoundOfIn0(xp,xT,xS)|aUpperBoundOfIn0($c2,xT,xS).
% 1.91/2.14  0 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -aUpperBoundOfIn0(xp,xT,xS)| -sdtlse_qdt0(xp,$c2).
% 1.91/2.14  0 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -aSupremumOfIn0(xp,xT,xS).
% 1.91/2.14  0 [] -aFixedPointOf0(xp,xf)|aElementOf0($c1,xT)|aElementOf0($c2,xS).
% 1.91/2.14  0 [] -aFixedPointOf0(xp,xf)|aElementOf0($c1,xT)| -aElementOf0(W1,xT)|sdtlse_qdt0(W1,$c2).
% 1.91/2.14  0 [] -aFixedPointOf0(xp,xf)|aElementOf0($c1,xT)|aUpperBoundOfIn0($c2,xT,xS).
% 1.91/2.14  0 [] -aFixedPointOf0(xp,xf)|aElementOf0($c1,xT)| -sdtlse_qdt0(xp,$c2).
% 1.91/2.14  0 [] -aFixedPointOf0(xp,xf)| -sdtlse_qdt0($c1,xp)|aElementOf0($c2,xS).
% 1.91/2.14  0 [] -aFixedPointOf0(xp,xf)| -sdtlse_qdt0($c1,xp)| -aElementOf0(W1,xT)|sdtlse_qdt0(W1,$c2).
% 1.91/2.14  0 [] -aFixedPointOf0(xp,xf)| -sdtlse_qdt0($c1,xp)|aUpperBoundOfIn0($c2,xT,xS).
% 1.91/2.14  0 [] -aFixedPointOf0(xp,xf)| -sdtlse_qdt0($c1,xp)| -sdtlse_qdt0(xp,$c2).
% 1.91/2.14  0 [] -aFixedPointOf0(xp,xf)| -aUpperBoundOfIn0(xp,xT,xS)|aElementOf0($c2,xS).
% 1.91/2.14  0 [] -aFixedPointOf0(xp,xf)| -aUpperBoundOfIn0(xp,xT,xS)| -aElementOf0(W1,xT)|sdtlse_qdt0(W1,$c2).
% 1.91/2.14  0 [] -aFixedPointOf0(xp,xf)| -aUpperBoundOfIn0(xp,xT,xS)|aUpperBoundOfIn0($c2,xT,xS).
% 1.91/2.14  0 [] -aFixedPointOf0(xp,xf)| -aUpperBoundOfIn0(xp,xT,xS)| -sdtlse_qdt0(xp,$c2).
% 1.91/2.14  0 [] -aFixedPointOf0(xp,xf)| -aSupremumOfIn0(xp,xT,xS).
% 1.91/2.14  end_of_list.
% 1.91/2.14  
% 1.91/2.14  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.91/2.14  
% 1.91/2.14  This ia a non-Horn set with equality.  The strategy will be
% 1.91/2.14  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.91/2.14  deletion, with positive clauses in sos and nonpositive
% 1.91/2.14  clauses in usable.
% 1.91/2.14  
% 1.91/2.14     dependent: set(knuth_bendix).
% 1.91/2.14     dependent: set(anl_eq).
% 1.91/2.14     dependent: set(para_from).
% 1.91/2.14     dependent: set(para_into).
% 1.91/2.14     dependent: clear(para_from_right).
% 1.91/2.14     dependent: clear(para_into_right).
% 1.91/2.14     dependent: set(para_from_vars).
% 1.91/2.14     dependent: set(eq_units_both_ways).
% 1.91/2.14     dependent: set(dynamic_demod_all).
% 1.91/2.14     dependent: set(dynamic_demod).
% 1.91/2.14     dependent: set(order_eq).
% 1.91/2.14     dependent: set(back_demod).
% 1.91/2.14     dependent: set(lrpo).
% 1.91/2.14     dependent: set(hyper_res).
% 1.91/2.14     dependent: set(unit_deletion).
% 1.91/2.14     dependent: set(factor).
% 1.91/2.14  
% 1.91/2.14  ------------> process usable:
% 1.91/2.14  ** KEPT (pick-wt=7): 1 [] -aSet0(A)| -aElementOf0(B,A)|aElement0(B).
% 1.91/2.14  ** KEPT (pick-wt=7): 2 [] -aSet0(A)| -isEmpty0(A)| -aElementOf0(B,A).
% 1.91/2.14  ** KEPT (pick-wt=8): 3 [] -aSet0(A)|isEmpty0(A)|aElementOf0($f1(A),A).
% 1.91/2.14  ** KEPT (pick-wt=7): 4 [] -aSet0(A)| -aSubsetOf0(B,A)|aSet0(B).
% 1.91/2.14  ** KEPT (pick-wt=11): 5 [] -aSet0(A)| -aSubsetOf0(B,A)| -aElementOf0(C,B)|aElementOf0(C,A).
% 1.91/2.14  ** KEPT (pick-wt=12): 6 [] -aSet0(A)|aSubsetOf0(B,A)| -aSet0(B)|aElementOf0($f2(A,B),B).
% 1.91/2.14  ** KEPT (pick-wt=12): 7 [] -aSet0(A)|aSubsetOf0(B,A)| -aSet0(B)| -aElementOf0($f2(A,B),A).
% 1.91/2.14  ** KEPT (pick-wt=5): 8 [] -aElement0(A)|sdtlse_qdt0(A,A).
% 1.91/2.14  ** KEPT (pick-wt=13): 9 [] -aElement0(A)| -aElement0(B)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,A)|A=B.
% 1.91/2.14  ** KEPT (pick-wt=15): 10 [] -aElement0(A)| -aElement0(B)| -aElement0(C)| -sdtlse_qdt0(A,B)| -sdtlse_qdt0(B,C)|sdtlse_qdt0(A,C).
% 1.91/2.14  ** KEPT (pick-wt=12): 11 [] -aSet0(A)| -aSubsetOf0(B,A)| -aLowerBoundOfIn0(C,B,A)|aElementOf0(C,A).
% 1.91/2.14  ** KEPT (pick-wt=15): 12 [] -aSet0(A)| -aSubsetOf0(B,A)| -aLowerBoundOfIn0(C,B,A)| -aElementOf0(D,B)|sdtlse_qdt0(C,D).
% 1.91/2.14  ** KEPT (pick-wt=18): 13 [] -aSet0(A)| -aSubsetOf0(B,A)|aLowerBoundOfIn0(C,B,A)| -aElementOf0(C,A)|aElementOf0($f3(A,B,C),B).
% 1.91/2.14  ** KEPT (pick-wt=18): 14 [] -aSet0(A)| -aSubsetOf0(B,A)|aLowerBoundOfIn0(C,B,A)| -aElementOf0(C,A)| -sdtlse_qdt0(C,$f3(A,B,C)).
% 1.91/2.14  ** KEPT (pick-wt=12): 15 [] -aSet0(A)| -aSubsetOf0(B,A)| -aUpperBoundOfIn0(C,B,A)|aElementOf0(C,A).
% 1.91/2.14  ** KEPT (pick-wt=15): 16 [] -aSet0(A)| -aSubsetOf0(B,A)| -aUpperBoundOfIn0(C,B,A)| -aElementOf0(D,B)|sdtlse_qdt0(D,C).
% 1.91/2.14  ** KEPT (pick-wt=18): 17 [] -aSet0(A)| -aSubsetOf0(B,A)|aUpperBoundOfIn0(C,B,A)| -aElementOf0(C,A)|aElementOf0($f4(A,B,C),B).
% 1.91/2.14  ** KEPT (pick-wt=18): 18 [] -aSet0(A)| -aSubsetOf0(B,A)|aUpperBoundOfIn0(C,B,A)| -aElementOf0(C,A)| -sdtlse_qdt0($f4(A,B,C),C).
% 1.91/2.14  ** KEPT (pick-wt=12): 19 [] -aSet0(A)| -aSubsetOf0(B,A)| -aInfimumOfIn0(C,B,A)|aElementOf0(C,A).
% 1.91/2.14  ** KEPT (pick-wt=13): 20 [] -aSet0(A)| -aSubsetOf0(B,A)| -aInfimumOfIn0(C,B,A)|aLowerBoundOfIn0(C,B,A).
% 1.91/2.14  ** KEPT (pick-wt=16): 21 [] -aSet0(A)| -aSubsetOf0(B,A)| -aInfimumOfIn0(C,B,A)| -aLowerBoundOfIn0(D,B,A)|sdtlse_qdt0(D,C).
% 1.91/2.14  ** KEPT (pick-wt=23): 22 [] -aSet0(A)| -aSubsetOf0(B,A)|aInfimumOfIn0(C,B,A)| -aElementOf0(C,A)| -aLowerBoundOfIn0(C,B,A)|aLowerBoundOfIn0($f5(A,B,C),B,A).
% 1.91/2.14  ** KEPT (pick-wt=22): 23 [] -aSet0(A)| -aSubsetOf0(B,A)|aInfimumOfIn0(C,B,A)| -aElementOf0(C,A)| -aLowerBoundOfIn0(C,B,A)| -sdtlse_qdt0($f5(A,B,C),C).
% 1.91/2.14  ** KEPT (pick-wt=12): 24 [] -aSet0(A)| -aSubsetOf0(B,A)| -aSupremumOfIn0(C,B,A)|aElementOf0(C,A).
% 1.91/2.14  ** KEPT (pick-wt=13): 25 [] -aSet0(A)| -aSubsetOf0(B,A)| -aSupremumOfIn0(C,B,A)|aUpperBoundOfIn0(C,B,A).
% 1.91/2.14  ** KEPT (pick-wt=16): 26 [] -aSet0(A)| -aSubsetOf0(B,A)| -aSupremumOfIn0(C,B,A)| -aUpperBoundOfIn0(D,B,A)|sdtlse_qdt0(C,D).
% 1.91/2.14  ** KEPT (pick-wt=23): 27 [] -aSet0(A)| -aSubsetOf0(B,A)|aSupremumOfIn0(C,B,A)| -aElementOf0(C,A)| -aUpperBoundOfIn0(C,B,A)|aUpperBoundOfIn0($f6(A,B,C),B,A).
% 1.91/2.14  ** KEPT (pick-wt=22): 28 [] -aSet0(A)| -aSubsetOf0(B,A)|aSupremumOfIn0(C,B,A)| -aElementOf0(C,A)| -aUpperBoundOfIn0(C,B,A)| -sdtlse_qdt0(C,$f6(A,B,C)).
% 1.91/2.14  ** KEPT (pick-wt=16): 29 [] -aSet0(A)| -aSubsetOf0(B,A)| -aSupremumOfIn0(C,B,A)| -aSupremumOfIn0(D,B,A)|C=D.
% 1.91/2.14  ** KEPT (pick-wt=16): 30 [] -aSet0(A)| -aSubsetOf0(B,A)| -aInfimumOfIn0(C,B,A)| -aInfimumOfIn0(D,B,A)|C=D.
% 1.91/2.14  ** KEPT (pick-wt=4): 31 [] -aCompleteLattice0(A)|aSet0(A).
% 1.91/2.14  ** KEPT (pick-wt=11): 32 [] -aCompleteLattice0(A)| -aSubsetOf0(B,A)|aInfimumOfIn0($f8(A,B),B,A).
% 1.91/2.14  ** KEPT (pick-wt=11): 33 [] -aCompleteLattice0(A)| -aSubsetOf0(B,A)|aSupremumOfIn0($f7(A,B),B,A).
% 1.91/2.14  ** KEPT (pick-wt=8): 34 [] aCompleteLattice0(A)| -aSet0(A)|aSubsetOf0($f9(A),A).
% 1.91/2.14  ** KEPT (pick-wt=14): 35 [] aCompleteLattice0(A)| -aSet0(A)| -aInfimumOfIn0(B,$f9(A),A)| -aSupremumOfIn0(C,$f9(A),A).
% 1.91/2.14  ** KEPT (pick-wt=5): 36 [] -aFunction0(A)|aSet0(szDzozmdt0(A)).
% 1.91/2.14  ** KEPT (pick-wt=5): 37 [] -aFunction0(A)|aSet0(szRzazndt0(A)).
% 1.91/2.14  ** KEPT (pick-wt=12): 39 [copy,38,flip.4] -aFunction0(A)| -aSet0(B)| -isOn0(A,B)|szRzazndt0(A)=szDzozmdt0(A).
% 1.91/2.14  ** KEPT (pick-wt=11): 40 [] -aFunction0(A)| -aSet0(B)| -isOn0(A,B)|szRzazndt0(A)=B.
% 1.91/2.14  ** KEPT (pick-wt=16): 42 [copy,41,flip.4] -aFunction0(A)| -aSet0(B)|isOn0(A,B)|szRzazndt0(A)!=szDzozmdt0(A)|szRzazndt0(A)!=B.
% 1.91/2.14  ** KEPT (pick-wt=12): 43 [] -aFunction0(A)| -aElementOf0(B,szDzozmdt0(A))|aElementOf0(sdtlpdtrp0(A,B),szRzazndt0(A)).
% 1.91/2.14  ** KEPT (pick-wt=9): 44 [] -aFunction0(A)| -aFixedPointOf0(B,A)|aElementOf0(B,szDzozmdt0(A)).
% 1.91/2.14  ** KEPT (pick-wt=10): 45 [] -aFunction0(A)| -aFixedPointOf0(B,A)|sdtlpdtrp0(A,B)=B.
% 1.91/2.14  ** KEPT (pick-wt=14): 46 [] -aFunction0(A)|aFixedPointOf0(B,A)| -aElementOf0(B,szDzozmdt0(A))|sdtlpdtrp0(A,B)!=B.
% 1.91/2.14  ** KEPT (pick-wt=22): 47 [] -aFunction0(A)| -isMonotone0(A)| -aElementOf0(B,szDzozmdt0(A))| -aElementOf0(C,szDzozmdt0(A))| -sdtlse_qdt0(B,C)|sdtlse_qdt0(sdtlpdtrp0(A,B),sdtlpdtrp0(A,C)).
% 1.91/2.14  ** KEPT (pick-wt=9): 48 [] -aFunction0(A)|isMonotone0(A)|aElementOf0($f11(A),szDzozmdt0(A)).
% 1.91/2.14  ** KEPT (pick-wt=9): 49 [] -aFunction0(A)|isMonotone0(A)|aElementOf0($f10(A),szDzozmdt0(A)).
% 1.91/2.14  ** KEPT (pick-wt=9): 50 [] -aFunction0(A)|isMonotone0(A)|sdtlse_qdt0($f11(A),$f10(A)).
% 1.91/2.14  ** KEPT (pick-wt=13): 51 [] -aFunction0(A)|isMonotone0(A)| -sdtlse_qdt0(sdtlpdtrp0(A,$f11(A)),sdtlpdtrp0(A,$f10(A))).
% 1.91/2.14  ** KEPT (pick-wt=10): 52 [] -aSet0(A)|aElementOf0($f12(A),A)|aElementOf0($f16(A),xU).
% 1.91/2.14  ** KEPT (pick-wt=13): 53 [] -aSet0(A)|aElementOf0($f12(A),A)| -aElementOf0(B,A)|sdtlse_qdt0($f16(A),B).
% 1.91/2.14  ** KEPT (pick-wt=11): 54 [] -aSet0(A)|aElementOf0($f12(A),A)|aLowerBoundOfIn0($f16(A),A,xU).
% 1.91/2.14  ** KEPT (pick-wt=18): 55 [] -aSet0(A)|aElementOf0($f12(A),A)| -aElementOf0(B,xU)|aElementOf0($f13(A,B),A)|sdtlse_qdt0(B,$f16(A)).
% 1.91/2.14  ** KEPT (pick-wt=18): 56 [] -aSet0(A)|aElementOf0($f12(A),A)| -aElementOf0(B,xU)| -sdtlse_qdt0(B,$f13(A,B))|sdtlse_qdt0(B,$f16(A)).
% 1.91/2.14  ** KEPT (pick-wt=14): 57 [] -aSet0(A)|aElementOf0($f12(A),A)| -aLowerBoundOfIn0(B,A,xU)|sdtlse_qdt0(B,$f16(A)).
% 1.91/2.14  ** KEPT (pick-wt=11): 58 [] -aSet0(A)|aElementOf0($f12(A),A)|aInfimumOfIn0($f16(A),A,xU).
% 1.91/2.14  ** KEPT (pick-wt=10): 59 [] -aSet0(A)|aElementOf0($f12(A),A)|aElementOf0($f15(A),xU).
% 1.91/2.14  ** KEPT (pick-wt=13): 60 [] -aSet0(A)|aElementOf0($f12(A),A)| -aElementOf0(B,A)|sdtlse_qdt0(B,$f15(A)).
% 1.91/2.14  ** KEPT (pick-wt=11): 61 [] -aSet0(A)|aElementOf0($f12(A),A)|aUpperBoundOfIn0($f15(A),A,xU).
% 1.91/2.14  ** KEPT (pick-wt=18): 62 [] -aSet0(A)|aElementOf0($f12(A),A)| -aElementOf0(B,xU)|aElementOf0($f14(A,B),A)|sdtlse_qdt0($f15(A),B).
% 1.91/2.14  ** KEPT (pick-wt=18): 63 [] -aSet0(A)|aElementOf0($f12(A),A)| -aElementOf0(B,xU)| -sdtlse_qdt0($f14(A,B),B)|sdtlse_qdt0($f15(A),B).
% 1.91/2.14  ** KEPT (pick-wt=14): 64 [] -aSet0(A)|aElementOf0($f12(A),A)| -aUpperBoundOfIn0(B,A,xU)|sdtlse_qdt0($f15(A),B).
% 1.91/2.14  ** KEPT (pick-wt=11): 65 [] -aSet0(A)|aElementOf0($f12(A),A)|aSupremumOfIn0($f15(A),A,xU).
% 1.91/2.14  ** KEPT (pick-wt=10): 66 [] -aSet0(A)| -aElementOf0($f12(A),xU)|aElementOf0($f16(A),xU).
% 1.91/2.14  ** KEPT (pick-wt=13): 67 [] -aSet0(A)| -aElementOf0($f12(A),xU)| -aElementOf0(B,A)|sdtlse_qdt0($f16(A),B).
% 1.91/2.14  ** KEPT (pick-wt=11): 68 [] -aSet0(A)| -aElementOf0($f12(A),xU)|aLowerBoundOfIn0($f16(A),A,xU).
% 1.91/2.14  ** KEPT (pick-wt=18): 69 [] -aSet0(A)| -aElementOf0($f12(A),xU)| -aElementOf0(B,xU)|aElementOf0($f13(A,B),A)|sdtlse_qdt0(B,$f16(A)).
% 1.91/2.14  ** KEPT (pick-wt=18): 70 [] -aSet0(A)| -aElementOf0($f12(A),xU)| -aElementOf0(B,xU)| -sdtlse_qdt0(B,$f13(A,B))|sdtlse_qdt0(B,$f16(A)).
% 1.91/2.14  ** KEPT (pick-wt=14): 71 [] -aSet0(A)| -aElementOf0($f12(A),xU)| -aLowerBoundOfIn0(B,A,xU)|sdtlse_qdt0(B,$f16(A)).
% 1.91/2.14  ** KEPT (pick-wt=11): 72 [] -aSet0(A)| -aElementOf0($f12(A),xU)|aInfimumOfIn0($f16(A),A,xU).
% 1.91/2.14  ** KEPT (pick-wt=10): 73 [] -aSet0(A)| -aElementOf0($f12(A),xU)|aElementOf0($f15(A),xU).
% 1.91/2.14  ** KEPT (pick-wt=13): 74 [] -aSet0(A)| -aElementOf0($f12(A),xU)| -aElementOf0(B,A)|sdtlse_qdt0(B,$f15(A)).
% 1.91/2.14  ** KEPT (pick-wt=11): 75 [] -aSet0(A)| -aElementOf0($f12(A),xU)|aUpperBoundOfIn0($f15(A),A,xU).
% 1.91/2.14  ** KEPT (pick-wt=18): 76 [] -aSet0(A)| -aElementOf0($f12(A),xU)| -aElementOf0(B,xU)|aElementOf0($f14(A,B),A)|sdtlse_qdt0($f15(A),B).
% 1.91/2.14  ** KEPT (pick-wt=18): 77 [] -aSet0(A)| -aElementOf0($f12(A),xU)| -aElementOf0(B,xU)| -sdtlse_qdt0($f14(A,B),B)|sdtlse_qdt0($f15(A),B).
% 1.91/2.14  ** KEPT (pick-wt=14): 78 [] -aSet0(A)| -aElementOf0($f12(A),xU)| -aUpperBoundOfIn0(B,A,xU)|sdtlse_qdt0($f15(A),B).
% 1.91/2.14  ** KEPT (pick-wt=11): 79 [] -aSet0(A)| -aElementOf0($f12(A),xU)|aSupremumOfIn0($f15(A),A,xU).
% 1.91/2.14  ** KEPT (pick-wt=7): 80 [] -aSubsetOf0(A,xU)|aElementOf0($f16(A),xU).
% 1.91/2.14  ** KEPT (pick-wt=10): 81 [] -aSubsetOf0(A,xU)| -aElementOf0(B,A)|sdtlse_qdt0($f16(A),B).
% 1.91/2.14  ** KEPT (pick-wt=8): 82 [] -aSubsetOf0(A,xU)|aLowerBoundOfIn0($f16(A),A,xU).
% 1.91/2.14  ** KEPT (pick-wt=15): 83 [] -aSubsetOf0(A,xU)| -aElementOf0(B,xU)|aElementOf0($f13(A,B),A)|sdtlse_qdt0(B,$f16(A)).
% 1.91/2.14  ** KEPT (pick-wt=15): 84 [] -aSubsetOf0(A,xU)| -aElementOf0(B,xU)| -sdtlse_qdt0(B,$f13(A,B))|sdtlse_qdt0(B,$f16(A)).
% 1.91/2.14  ** KEPT (pick-wt=11): 85 [] -aSubsetOf0(A,xU)| -aLowerBoundOfIn0(B,A,xU)|sdtlse_qdt0(B,$f16(A)).
% 1.91/2.14  ** KEPT (pick-wt=8): 86 [] -aSubsetOf0(A,xU)|aInfimumOfIn0($f16(A),A,xU).
% 1.91/2.14  ** KEPT (pick-wt=7): 87 [] -aSubsetOf0(A,xU)|aElementOf0($f15(A),xU).
% 1.91/2.14  ** KEPT (pick-wt=10): 88 [] -aSubsetOf0(A,xU)| -aElementOf0(B,A)|sdtlse_qdt0(B,$f15(A)).
% 1.91/2.14  ** KEPT (pick-wt=8): 89 [] -aSubsetOf0(A,xU)|aUpperBoundOfIn0($f15(A),A,xU).
% 1.91/2.14  ** KEPT (pick-wt=15): 90 [] -aSubsetOf0(A,xU)| -aElementOf0(B,xU)|aElementOf0($f14(A,B),A)|sdtlse_qdt0($f15(A),B).
% 1.91/2.14  ** KEPT (pick-wt=15): 91 [] -aSubsetOf0(A,xU)| -aElementOf0(B,xU)| -sdtlse_qdt0($f14(A,B),B)|sdtlse_qdt0($f15(A),B).
% 1.91/2.14  ** KEPT (pick-wt=11): 92 [] -aSubsetOf0(A,xU)| -aUpperBoundOfIn0(B,A,xU)|sdtlse_qdt0($f15(A),B).
% 1.91/2.14  ** KEPT (pick-wt=8): 93 [] -aSubsetOf0(A,xU)|aSupremumOfIn0($f15(A),A,xU).
% 1.91/2.14  ** KEPT (pick-wt=18): 94 [] -aElementOf0(A,szDzozmdt0(xf))| -aElementOf0(B,szDzozmdt0(xf))| -sdtlse_qdt0(A,B)|sdtlse_qdt0(sdtlpdtrp0(xf,A),sdtlpdtrp0(xf,B)).
% 1.91/2.14  ** KEPT (pick-wt=7): 95 [] -aElementOf0(A,xS)|aElementOf0(A,szDzozmdt0(xf)).
% 1.91/2.14  ** KEPT (pick-wt=8): 96 [] -aElementOf0(A,xS)|sdtlpdtrp0(xf,A)=A.
% 1.91/2.14  ** KEPT (pick-wt=6): 97 [] -aElementOf0(A,xS)|aFixedPointOf0(A,xf).
% 1.91/2.14  ** KEPT (pick-wt=12): 98 [] -aElementOf0(A,szDzozmdt0(xf))|sdtlpdtrp0(xf,A)!=A|aElementOf0(A,xS).
% 1.91/2.14  ** KEPT (pick-wt=6): 99 [] -aFixedPointOf0(A,xf)|aElementOf0(A,xS).
% 1.91/2.14  ** KEPT (pick-wt=6): 100 [] -aElementOf0(A,xT)|aElementOf0(A,xS).
% 1.91/2.14  ** KEPT (pick-wt=6): 101 [] -aElementOf0(A,xP)|aElementOf0(A,xU).
% 1.91/2.14  ** KEPT (pick-wt=8): 102 [] -aElementOf0(A,xP)|sdtlse_qdt0(sdtlpdtrp0(xf,A),A).
% 1.91/2.14  ** KEPT (pick-wt=9): 103 [] -aElementOf0(A,xP)| -aElementOf0(B,xT)|sdtlse_qdt0(B,A).
% 1.91/2.14  ** KEPT (pick-wt=7): 104 [] -aElementOf0(A,xP)|aUpperBoundOfIn0(A,xT,xU).
% 1.91/2.14  ** KEPT (pick-wt=15): 105 [] -aElementOf0(A,xU)| -sdtlse_qdt0(sdtlpdtrp0(xf,A),A)|aElementOf0($f17(A),xT)|aElementOf0(A,xP).
% 1.91/2.14  ** KEPT (pick-wt=15): 106 [] -aElementOf0(A,xU)| -sdtlse_qdt0(sdtlpdtrp0(xf,A),A)| -sdtlse_qdt0($f17(A),A)|aElementOf0(A,xP).
% 1.91/2.14  ** KEPT (pick-wt=15): 107 [] -aElementOf0(A,xU)| -sdtlse_qdt0(sdtlpdtrp0(xf,A),A)| -aUpperBoundOfIn0(A,xT,xU)|aElementOf0(A,xP).
% 1.91/2.14  ** KEPT (pick-wt=6): 108 [] -aElementOf0(A,xP)|sdtlse_qdt0(xp,A).
% 1.91/2.14  ** KEPT (pick-wt=10): 109 [] -aElementOf0(A,xU)|aElementOf0($f18(A),xP)|sdtlse_qdt0(A,xp).
% 1.91/2.14  ** KEPT (pick-wt=10): 110 [] -aElementOf0(A,xU)| -sdtlse_qdt0(A,$f18(A))|sdtlse_qdt0(A,xp).
% 1.91/2.14  ** KEPT (pick-wt=7): 111 [] -aLowerBoundOfIn0(A,xP,xU)|sdtlse_qdt0(A,xp).
% 1.91/2.14  ** KEPT (pick-wt=8): 112 [] -aElementOf0(A,xP)|sdtlse_qdt0(sdtlpdtrp0(xf,xp),A).
% 1.91/2.14  ** KEPT (pick-wt=8): 113 [] -aElementOf0(A,xT)|sdtlse_qdt0(A,sdtlpdtrp0(xf,xp)).
% 1.91/2.14  ** KEPT (pick-wt=15): 114 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp|aElementOf0($c1,xT)|aElementOf0($c2,xS).
% 1.91/2.14  ** KEPT (pick-wt=18): 115 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp|aElementOf0($c1,xT)| -aElementOf0(A,xT)|sdtlse_qdt0(A,$c2).
% 1.91/2.14  ** KEPT (pick-wt=16): 116 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp|aElementOf0($c1,xT)|aUpperBoundOfIn0($c2,xT,xS).
% 1.91/2.14  ** KEPT (pick-wt=15): 117 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp|aElementOf0($c1,xT)| -sdtlse_qdt0(xp,$c2).
% 1.91/2.14  ** KEPT (pick-wt=15): 118 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -sdtlse_qdt0($c1,xp)|aElementOf0($c2,xS).
% 1.91/2.14  ** KEPT (pick-wt=18): 119 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -sdtlse_qdt0($c1,xp)| -aElementOf0(A,xT)|sdtlse_qdt0(A,$c2).
% 1.91/2.14  ** KEPT (pick-wt=16): 120 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -sdtlse_qdt0($c1,xp)|aUpperBoundOfIn0($c2,xT,xS).
% 1.91/2.14  ** KEPT (pick-wt=15): 121 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -sdtlse_qdt0($c1,xp)| -sdtlse_qdt0(xp,$c2).
% 1.91/2.14  ** KEPT (pick-wt=16): 122 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -aUpperBoundOfIn0(xp,xT,xS)|aElementOf0($c2,xS).
% 1.91/2.14  ** KEPT (pick-wt=19): 123 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -aUpperBoundOfIn0(xp,xT,xS)| -aElementOf0(A,xT)|sdtlse_qdt0(A,$c2).
% 1.91/2.14  ** KEPT (pick-wt=17): 124 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -aUpperBoundOfIn0(xp,xT,xS)|aUpperBoundOfIn0($c2,xT,xS).
% 1.91/2.14  ** KEPT (pick-wt=16): 125 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -aUpperBoundOfIn0(xp,xT,xS)| -sdtlse_qdt0(xp,$c2).
% 1.91/2.14  ** KEPT (pick-wt=13): 126 [] -aElementOf0(xp,szDzozmdt0(xf))|sdtlpdtrp0(xf,xp)!=xp| -aSupremumOfIn0(xp,xT,xS).
% 1.91/2.14  ** KEPT (pick-wt=9): 127 [] -aFixedPointOf0(xp,xf)|aElementOf0($c1,xT)|aElementOf0($c2,xS).
% 1.91/2.15  ** KEPT (pick-wt=12): 128 [] -aFixedPointOf0(xp,xf)|aElementOf0($c1,xT)| -aElementOf0(A,xT)|sdtlse_qdt0(A,$c2).
% 1.91/2.15  ** KEPT (pick-wt=10): 129 [] -aFixedPointOf0(xp,xf)|aElementOf0($c1,xT)|aUpperBoundOfIn0($c2,xT,xS).
% 1.91/2.15  ** KEPT (pick-wt=9): 130 [] -aFixedPointOf0(xp,xf)|aElementOf0($c1,xT)| -sdtlse_qdt0(xp,$c2).
% 1.91/2.15  ** KEPT (pick-wt=9): 131 [] -aFixedPointOf0(xp,xf)| -sdtlse_qdt0($c1,xp)|aElementOf0($c2,xS).
% 1.91/2.15  ** KEPT (pick-wt=12): 132 [] -aFixedPointOf0(xp,xf)| -sdtlse_qdt0($c1,xp)| -aElementOf0(A,xT)|sdtlse_qdt0(A,$c2).
% 1.91/2.15  ** KEPT (pick-wt=10): 133 [] -aFixedPointOf0(xp,xf)| -sdtlse_qdt0($c1,xp)|aUpperBoundOfIn0($c2,xT,xS).
% 1.91/2.15  ** KEPT (pick-wt=9): 134 [] -aFixedPointOf0(xp,xf)| -sdtlse_qdt0($c1,xp)| -sdtlse_qdt0(xp,$c2).
% 1.91/2.15  ** KEPT (pick-wt=10): 135 [] -aFixedPointOf0(xp,xf)| -aUpperBoundOfIn0(xp,xT,xS)|aElementOf0($c2,xS).
% 1.91/2.15  ** KEPT (pick-wt=13): 136 [] -aFixedPointOf0(xp,xf)| -aUpperBoundOfIn0(xp,xT,xS)| -aElementOf0(A,xT)|sdtlse_qdt0(A,$c2).
% 3.93/4.12  ** KEPT (pick-wt=11): 137 [] -aFixedPointOf0(xp,xf)| -aUpperBoundOfIn0(xp,xT,xS)|aUpperBoundOfIn0($c2,xT,xS).
% 3.93/4.12  ** KEPT (pick-wt=10): 138 [] -aFixedPointOf0(xp,xf)| -aUpperBoundOfIn0(xp,xT,xS)| -sdtlse_qdt0(xp,$c2).
% 3.93/4.12  ** KEPT (pick-wt=7): 139 [] -aFixedPointOf0(xp,xf)| -aSupremumOfIn0(xp,xT,xS).
% 3.93/4.12  
% 3.93/4.12  ------------> process sos:
% 3.93/4.12  ** KEPT (pick-wt=3): 154 [] A=A.
% 3.93/4.12  ** KEPT (pick-wt=2): 155 [] aSet0(xU).
% 3.93/4.12  ** KEPT (pick-wt=2): 156 [] aCompleteLattice0(xU).
% 3.93/4.12  ** KEPT (pick-wt=2): 157 [] aFunction0(xf).
% 3.93/4.12  ** KEPT (pick-wt=2): 158 [] isMonotone0(xf).
% 3.93/4.12  ** KEPT (pick-wt=5): 160 [copy,159,flip.1] szRzazndt0(xf)=szDzozmdt0(xf).
% 3.93/4.12  ---> New Demodulator: 161 [new_demod,160] szRzazndt0(xf)=szDzozmdt0(xf).
% 3.93/4.12  ** KEPT (pick-wt=4): 163 [copy,162,demod,161] szDzozmdt0(xf)=xU.
% 3.93/4.12  ---> New Demodulator: 164 [new_demod,163] szDzozmdt0(xf)=xU.
% 3.93/4.12  ** KEPT (pick-wt=3): 165 [] isOn0(xf,xU).
% 3.93/4.12  ** KEPT (pick-wt=2): 166 [] aSet0(xS).
% 3.93/4.12  ** KEPT (pick-wt=4): 168 [copy,167,flip.1] cS1142(xf)=xS.
% 3.93/4.12  ---> New Demodulator: 169 [new_demod,168] cS1142(xf)=xS.
% 3.93/4.12  ** KEPT (pick-wt=2): 170 [] aSet0(xT).
% 3.93/4.12  ** KEPT (pick-wt=3): 171 [] aSubsetOf0(xT,xS).
% 3.93/4.12  ** KEPT (pick-wt=2): 172 [] aSet0(xP).
% 3.93/4.12  ** KEPT (pick-wt=6): 174 [copy,173,flip.1] cS1241(xU,xf,xT)=xP.
% 3.93/4.12  ---> New Demodulator: 175 [new_demod,174] cS1241(xU,xf,xT)=xP.
% 3.93/4.12  ** KEPT (pick-wt=3): 176 [] aElementOf0(xp,xU).
% 3.93/4.12    Following clause subsumed by 176 during input processing: 0 [] aElementOf0(xp,xU).
% 3.93/4.12  ** KEPT (pick-wt=4): 177 [] aLowerBoundOfIn0(xp,xP,xU).
% 3.93/4.12  ** KEPT (pick-wt=4): 178 [] aInfimumOfIn0(xp,xP,xU).
% 3.93/4.12  ** KEPT (pick-wt=6): 179 [] aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU).
% 3.93/4.12  ** KEPT (pick-wt=6): 180 [] aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU).
% 3.93/4.12    Following clause subsumed by 154 during input processing: 0 [copy,154,flip.1] A=A.
% 3.93/4.12  154 back subsumes 144.
% 3.93/4.12  154 back subsumes 143.
% 3.93/4.12  154 back subsumes 142.
% 3.93/4.12  >>>> Starting back demodulation with 161.
% 3.93/4.12  >>>> Starting back demodulation with 164.
% 3.93/4.12      >> back demodulating 160 with 164.
% 3.93/4.12      >> back demodulating 153 with 164.
% 3.93/4.12      >> back demodulating 126 with 164.
% 3.93/4.12      >> back demodulating 125 with 164.
% 3.93/4.12      >> back demodulating 124 with 164.
% 3.93/4.12      >> back demodulating 123 with 164.
% 3.93/4.12      >> back demodulating 122 with 164.
% 3.93/4.12      >> back demodulating 121 with 164.
% 3.93/4.12      >> back demodulating 120 with 164.
% 3.93/4.12      >> back demodulating 119 with 164.
% 3.93/4.12      >> back demodulating 118 with 164.
% 3.93/4.12      >> back demodulating 117 with 164.
% 3.93/4.12      >> back demodulating 116 with 164.
% 3.93/4.12      >> back demodulating 115 with 164.
% 3.93/4.12      >> back demodulating 114 with 164.
% 3.93/4.12      >> back demodulating 98 with 164.
% 3.93/4.12      >> back demodulating 95 with 164.
% 3.93/4.12      >> back demodulating 94 with 164.
% 3.93/4.12  >>>> Starting back demodulation with 169.
% 3.93/4.12  >>>> Starting back demodulation with 175.
% 3.93/4.12  >>>> Starting back demodulation with 182.
% 3.93/4.12  
% 3.93/4.12  ======= end of input processing =======
% 3.93/4.12  
% 3.93/4.12  =========== start of search ===========
% 3.93/4.12  
% 3.93/4.12  
% 3.93/4.12  Resetting weight limit to 9.
% 3.93/4.12  
% 3.93/4.12  
% 3.93/4.12  Resetting weight limit to 9.
% 3.93/4.12  
% 3.93/4.12  sos_size=1349
% 3.93/4.12  
% 3.93/4.12  
% 3.93/4.12  Resetting weight limit to 8.
% 3.93/4.12  
% 3.93/4.12  
% 3.93/4.12  Resetting weight limit to 8.
% 3.93/4.12  
% 3.93/4.12  sos_size=1489
% 3.93/4.12  
% 3.93/4.12  -------- PROOF -------- 
% 3.93/4.12  
% 3.93/4.12  -----> EMPTY CLAUSE at   1.99 sec ----> 2308 [hyper,2293,2179,2281] $F.
% 3.93/4.12  
% 3.93/4.12  Length of proof is 47.  Level of proof is 20.
% 3.93/4.12  
% 3.93/4.12  ---------------- PROOF ----------------
% 3.93/4.12  % SZS status Theorem
% 3.93/4.12  % SZS output start Refutation
% See solution above
% 3.93/4.12  ------------ end of proof -------------
% 3.93/4.12  
% 3.93/4.12  
% 3.93/4.12  Search stopped by max_proofs option.
% 3.93/4.12  
% 3.93/4.12  
% 3.93/4.12  Search stopped by max_proofs option.
% 3.93/4.12  
% 3.93/4.12  ============ end of search ============
% 3.93/4.12  
% 3.93/4.12  -------------- statistics -------------
% 3.93/4.12  clauses given                683
% 3.93/4.12  clauses generated          27990
% 3.93/4.12  clauses kept                2292
% 3.93/4.12  clauses forward subsumed    3205
% 3.93/4.12  clauses back subsumed        755
% 3.93/4.12  Kbytes malloced             4882
% 3.93/4.12  
% 3.93/4.12  ----------- times (seconds) -----------
% 3.93/4.12  user CPU time          1.99          (0 hr, 0 min, 1 sec)
% 3.93/4.12  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 3.93/4.12  wall-clock time        4             (0 hr, 0 min, 4 sec)
% 3.93/4.12  
% 3.93/4.12  That finishes the proof of the theorem.
% 3.93/4.12  
% 3.93/4.12  Process 955 finished Wed Jul 27 08:17:58 2022
% 3.93/4.12  Otter interrupted
% 3.93/4.12  PROOF FOUND
%------------------------------------------------------------------------------