TSTP Solution File: KRS102+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : KRS102+1 : TPTP v8.1.0. Released v3.1.0.
% 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 13:01:08 EDT 2022

% Result   : Unsatisfiable 8.88s 9.07s
% Output   : Refutation 8.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   33
% Syntax   : Number of clauses     :  128 (  16 unt; 106 nHn; 127 RR)
%            Number of literals    :  289 ( 268 equ;  15 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  18 con; 0-0 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(8,axiom,
    ( ~ cTorF(A)
    | A = iplus1
    | A = iminus1 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ cTorF(A)
    | A = iminus4
    | A = iplus4 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( cTorF(A)
    | A != iminus4 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ cTorF(A)
    | A = iplus2
    | A = iminus2 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(16,axiom,
    ( cTorF(A)
    | A != iminus2 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ cTorF(A)
    | A = iplus7
    | A = iminus7 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(23,axiom,
    ( ~ cTorF(A)
    | A = iplus3
    | A = iminus3 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(25,axiom,
    ( cTorF(A)
    | A != iminus3 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(28,axiom,
    ( cTorF(A)
    | A != iF ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(29,axiom,
    ( ~ cTorF(A)
    | A = iplus8
    | A = iminus8 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(31,axiom,
    ( cTorF(A)
    | A != iminus8 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(32,axiom,
    ( ~ cTorF(A)
    | A = iminus6
    | A = iplus6 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(33,axiom,
    ( cTorF(A)
    | A != iminus6 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(35,axiom,
    ( ~ cTorF(A)
    | A = iminus9
    | A = iplus9 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(38,axiom,
    iT != iF,
    file('KRS102+1.p',unknown),
    [] ).

cnf(39,axiom,
    A = A,
    file('KRS102+1.p',unknown),
    [] ).

cnf(50,axiom,
    ( iT = iminus6
    | iT = iplus1
    | iT = iplus9 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(51,plain,
    ( iminus6 = iT
    | iplus1 = iT
    | iplus9 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[50])])])]),
    [iquote('copy,50,flip.1,flip.2,flip.3')] ).

cnf(54,axiom,
    ( iT = iminus9
    | iT = iminus6
    | iT = iplus1 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(55,plain,
    ( iminus9 = iT
    | iminus6 = iT
    | iplus1 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[54])])])]),
    [iquote('copy,54,flip.1,flip.2,flip.3')] ).

cnf(56,axiom,
    ( iT = iminus8
    | iT = iminus4
    | iT = iplus9 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(57,plain,
    ( iminus8 = iT
    | iminus4 = iT
    | iplus9 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[56])])])]),
    [iquote('copy,56,flip.1,flip.2,flip.3')] ).

cnf(58,axiom,
    ( iT = iplus3
    | iT = iplus6
    | iT = iplus4 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(59,plain,
    ( iplus3 = iT
    | iplus6 = iT
    | iplus4 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[58])])])]),
    [iquote('copy,58,flip.1,flip.2,flip.3')] ).

cnf(64,axiom,
    ( iT = iminus8
    | iT = iplus6
    | iT = iplus4 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(65,plain,
    ( iminus8 = iT
    | iplus6 = iT
    | iplus4 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[64])])])]),
    [iquote('copy,64,flip.1,flip.2,flip.3')] ).

cnf(68,axiom,
    ( iT = iplus6
    | iT = iminus2
    | iT = iminus7 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(69,plain,
    ( iplus6 = iT
    | iminus2 = iT
    | iminus7 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[68])])])]),
    [iquote('copy,68,flip.1,flip.2,flip.3')] ).

cnf(76,axiom,
    ( iT = iplus8
    | iT = iplus2
    | iT = iminus4 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(77,plain,
    ( iplus8 = iT
    | iplus2 = iT
    | iminus4 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[76])])])]),
    [iquote('copy,76,flip.1,flip.2,flip.3')] ).

cnf(86,axiom,
    ( iT = iminus4
    | iT = iminus3
    | iT = iminus7 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(87,plain,
    ( iminus4 = iT
    | iminus3 = iT
    | iminus7 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[86])])])]),
    [iquote('copy,86,flip.1,flip.2,flip.3')] ).

cnf(88,axiom,
    ( iT = iplus2
    | iT = iplus4
    | iT = iminus1 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(89,plain,
    ( iplus2 = iT
    | iplus4 = iT
    | iminus1 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[88])])])]),
    [iquote('copy,88,flip.1,flip.2,flip.3')] ).

cnf(94,axiom,
    ( iT = iminus8
    | iT = iminus9
    | iT = iminus4 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(95,plain,
    ( iminus8 = iT
    | iminus9 = iT
    | iminus4 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[94])])])]),
    [iquote('copy,94,flip.1,flip.2,flip.3')] ).

cnf(98,axiom,
    ( iT = iplus8
    | iT = iplus2
    | iT = iminus3 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(99,plain,
    ( iplus8 = iT
    | iplus2 = iT
    | iminus3 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[98])])])]),
    [iquote('copy,98,flip.1,flip.2,flip.3')] ).

cnf(102,axiom,
    ( iT = iplus8
    | iT = iplus3
    | iT = iminus7 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(103,plain,
    ( iplus8 = iT
    | iplus3 = iT
    | iminus7 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[102])])])]),
    [iquote('copy,102,flip.1,flip.2,flip.3')] ).

cnf(110,axiom,
    ( iT = iminus9
    | iT = iminus2
    | iT = iplus7 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(111,plain,
    ( iminus9 = iT
    | iminus2 = iT
    | iplus7 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[110])])])]),
    [iquote('copy,110,flip.1,flip.2,flip.3')] ).

cnf(116,axiom,
    ( iT = iplus6
    | iT = iminus2
    | iT = iplus9 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(117,plain,
    ( iplus6 = iT
    | iminus2 = iT
    | iplus9 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[116])])])]),
    [iquote('copy,116,flip.1,flip.2,flip.3')] ).

cnf(126,axiom,
    ( iT = iminus6
    | iT = iminus2
    | iT = iplus4 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(127,plain,
    ( iminus6 = iT
    | iminus2 = iT
    | iplus4 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[126])])])]),
    [iquote('copy,126,flip.1,flip.2,flip.3')] ).

cnf(128,axiom,
    ( iT = iplus8
    | iT = iplus6
    | iT = iminus4 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(129,plain,
    ( iplus8 = iT
    | iplus6 = iT
    | iminus4 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[128])])])]),
    [iquote('copy,128,flip.1,flip.2,flip.3')] ).

cnf(130,axiom,
    ( iT = iminus4
    | iT = iplus7
    | iT = iplus9 ),
    file('KRS102+1.p',unknown),
    [] ).

cnf(131,plain,
    ( iminus4 = iT
    | iplus7 = iT
    | iplus9 = iT ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[130])])])]),
    [iquote('copy,130,flip.1,flip.2,flip.3')] ).

cnf(135,plain,
    cTorF(iminus6),
    inference(hyper,[status(thm)],[39,33]),
    [iquote('hyper,39,33')] ).

cnf(136,plain,
    cTorF(iminus8),
    inference(hyper,[status(thm)],[39,31]),
    [iquote('hyper,39,31')] ).

cnf(138,plain,
    cTorF(iF),
    inference(hyper,[status(thm)],[39,28]),
    [iquote('hyper,39,28')] ).

cnf(140,plain,
    cTorF(iminus3),
    inference(hyper,[status(thm)],[39,25]),
    [iquote('hyper,39,25')] ).

cnf(146,plain,
    cTorF(iminus2),
    inference(hyper,[status(thm)],[39,16]),
    [iquote('hyper,39,16')] ).

cnf(149,plain,
    cTorF(iminus4),
    inference(hyper,[status(thm)],[39,12]),
    [iquote('hyper,39,12')] ).

cnf(179,plain,
    ( iminus9 = iminus6
    | iplus9 = iminus6 ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[135,35])])]),
    [iquote('hyper,135,35,flip.1,flip.2')] ).

cnf(188,plain,
    ( iminus9 = iminus8
    | iplus9 = iminus8 ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[136,35])])]),
    [iquote('hyper,136,35,flip.1,flip.2')] ).

cnf(207,plain,
    ( iminus6 = iF
    | iplus6 = iF ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[138,32])])]),
    [iquote('hyper,138,32,flip.1,flip.2')] ).

cnf(208,plain,
    ( iplus8 = iF
    | iminus8 = iF ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[138,29])])]),
    [iquote('hyper,138,29,flip.1,flip.2')] ).

cnf(209,plain,
    ( iplus3 = iF
    | iminus3 = iF ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[138,23])])]),
    [iquote('hyper,138,23,flip.1,flip.2')] ).

cnf(211,plain,
    ( iplus7 = iF
    | iminus7 = iF ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[138,17])])]),
    [iquote('hyper,138,17,flip.1,flip.2')] ).

cnf(212,plain,
    ( iplus2 = iF
    | iminus2 = iF ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[138,14])])]),
    [iquote('hyper,138,14,flip.1,flip.2')] ).

cnf(213,plain,
    ( iminus4 = iF
    | iplus4 = iF ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[138,11])])]),
    [iquote('hyper,138,11,flip.1,flip.2')] ).

cnf(214,plain,
    ( iplus1 = iF
    | iminus1 = iF ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[138,8])])]),
    [iquote('hyper,138,8,flip.1,flip.2')] ).

cnf(276,plain,
    ( iplus7 = iminus3
    | iminus7 = iminus3 ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[140,17])])]),
    [iquote('hyper,140,17,flip.1,flip.2')] ).

cnf(368,plain,
    ( iminus9 = iminus2
    | iplus9 = iminus2 ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[146,35])])]),
    [iquote('hyper,146,35,flip.1,flip.2')] ).

cnf(374,plain,
    ( iplus7 = iminus2
    | iminus7 = iminus2 ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[146,17])])]),
    [iquote('hyper,146,17,flip.1,flip.2')] ).

cnf(439,plain,
    ( iminus6 = iminus4
    | iplus6 = iminus4 ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[149,32])])]),
    [iquote('hyper,149,32,flip.1,flip.2')] ).

cnf(440,plain,
    ( iplus8 = iminus4
    | iminus8 = iminus4 ),
    inference(flip,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[149,29])])]),
    [iquote('hyper,149,29,flip.1,flip.2')] ).

cnf(1303,plain,
    ( iminus6 = iT
    | iplus9 = iminus6
    | iplus1 = iT ),
    inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[179,55])]),
    [iquote('para_into,179.1.1,55.1.1,factor_simp')] ).

cnf(1601,plain,
    ( iminus9 = iminus8
    | iminus8 = iT
    | iminus4 = iT ),
    inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[188,57])]),
    [iquote('para_into,188.2.1,57.3.1,factor_simp')] ).

cnf(2998,plain,
    ( iplus7 = iminus3
    | iminus3 = iT
    | iminus4 = iT ),
    inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[276,87])]),
    [iquote('para_into,276.2.1,87.3.1,factor_simp')] ).

cnf(4128,plain,
    ( iplus8 = iT
    | iplus3 = iT
    | iplus7 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[103,211]),38]),
    [iquote('para_into,103.3.1,211.2.1,unit_del,38')] ).

cnf(4810,plain,
    ( iminus2 = iT
    | iplus9 = iminus2
    | iplus7 = iT ),
    inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[368,111])]),
    [iquote('para_into,368.1.1,111.1.1,factor_simp')] ).

cnf(5161,plain,
    ( iplus7 = iminus2
    | iminus2 = iT
    | iplus6 = iT ),
    inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[374,69])]),
    [iquote('para_into,374.2.1,69.3.1,factor_simp')] ).

cnf(5223,plain,
    ( iminus2 = iT
    | iplus9 = iT
    | iminus6 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[117,207]),38]),
    [iquote('para_into,117.1.1,207.2.1,unit_del,38')] ).

cnf(5826,plain,
    ( iminus6 = iT
    | iplus1 = iT ),
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[1303,51])])])]),
    [iquote('para_into,1303.2.1,51.3.1,factor_simp,factor_simp,factor_simp')] ).

cnf(5830,plain,
    ( iplus1 = iT
    | iplus6 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5826,207]),38]),
    [iquote('para_into,5826.1.1,207.1.1,unit_del,38')] ).

cnf(5836,plain,
    ( iminus6 = iT
    | iminus1 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5826,214]),38]),
    [iquote('para_into,5826.2.1,214.1.1,unit_del,38')] ).

cnf(5840,plain,
    ( iplus6 = iF
    | iminus1 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5830,214]),38]),
    [iquote('para_into,5830.1.1,214.1.1,unit_del,38')] ).

cnf(5899,plain,
    ( iminus8 = iT
    | iminus4 = iT ),
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[1601,95])])])]),
    [iquote('para_into,1601.1.1,95.2.1,factor_simp,factor_simp,factor_simp')] ).

cnf(5905,plain,
    ( iminus4 = iT
    | iplus8 = iminus4 ),
    inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5899,440])]),
    [iquote('para_into,5899.1.1,440.2.1,factor_simp')] ).

cnf(5906,plain,
    ( iminus4 = iT
    | iplus8 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5899,208]),38]),
    [iquote('para_into,5899.1.1,208.2.1,unit_del,38')] ).

cnf(5909,plain,
    ( iminus8 = iT
    | iplus4 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5899,213]),38]),
    [iquote('para_into,5899.2.1,213.1.1,unit_del,38')] ).

cnf(5915,plain,
    ( iminus4 = iT
    | iplus6 = iT ),
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5905,129])])]),
    [iquote('para_into,5905.2.1,129.1.1,factor_simp,factor_simp')] ).

cnf(5916,plain,
    ( iminus4 = iT
    | iplus2 = iT ),
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5905,77])])]),
    [iquote('para_into,5905.2.1,77.1.1,factor_simp,factor_simp')] ).

cnf(5919,plain,
    ( iplus8 = iF
    | iplus4 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5906,213]),38]),
    [iquote('para_into,5906.1.1,213.1.1,unit_del,38')] ).

cnf(5928,plain,
    ( iminus8 = iT
    | iplus6 = iT ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5909,65]),38])]),
    [iquote('para_into,5909.2.1,65.3.1,unit_del,38,factor_simp')] ).

cnf(5938,plain,
    ( iplus6 = iT
    | iplus4 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5915,213]),38]),
    [iquote('para_into,5915.1.1,213.1.1,unit_del,38')] ).

cnf(5939,plain,
    ( iplus6 = iT
    | iminus6 = iminus4 ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5915,32]),149])]),
    [iquote('para_into,5915.1.1,32.3.1,unit_del,149,factor_simp')] ).

cnf(5958,plain,
    ( iminus4 = iT
    | iminus6 = iminus4 ),
    inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5915,439])]),
    [iquote('para_into,5915.2.1,439.2.1,factor_simp')] ).

cnf(5963,plain,
    ( iplus2 = iT
    | iplus4 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5916,213]),38]),
    [iquote('para_into,5916.1.1,213.1.1,unit_del,38')] ).

cnf(5987,plain,
    ( iplus6 = iT
    | iplus8 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5928,208]),38]),
    [iquote('para_into,5928.1.1,208.2.1,unit_del,38')] ).

cnf(6050,plain,
    ( iplus6 = iT
    | iplus3 = iT ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5938,59]),38])]),
    [iquote('para_into,5938.2.1,59.3.1,unit_del,38,factor_simp')] ).

cnf(6068,plain,
    ( iminus6 = iminus4
    | iminus6 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5939,207]),38]),
    [iquote('para_into,5939.1.1,207.2.1,unit_del,38')] ).

cnf(6088,plain,
    ( iminus6 = iminus4
    | iplus4 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5958,213]),38]),
    [iquote('para_into,5958.1.1,213.1.1,unit_del,38')] ).

cnf(6094,plain,
    ( iplus2 = iT
    | iminus1 = iT ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5963,89]),38])]),
    [iquote('para_into,5963.2.1,89.2.1,unit_del,38,factor_simp')] ).

cnf(6145,plain,
    ( iplus8 = iF
    | iminus1 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5987,5840]),38]),
    [iquote('para_into,5987.1.1,5840.1.1,unit_del,38')] ).

cnf(6149,plain,
    ( iplus8 = iF
    | iminus6 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5987,207]),38]),
    [iquote('para_into,5987.1.1,207.2.1,unit_del,38')] ).

cnf(6317,plain,
    ( iplus6 = iT
    | iminus3 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[6050,209]),38]),
    [iquote('para_into,6050.2.1,209.1.1,unit_del,38')] ).

cnf(6359,plain,
    ( iminus1 = iT
    | iminus2 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[6094,212]),38]),
    [iquote('para_into,6094.1.1,212.1.1,unit_del,38')] ).

cnf(6370,plain,
    ( iplus2 = iT
    | iplus6 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[6094,5840]),38]),
    [iquote('para_into,6094.2.1,5840.2.1,unit_del,38')] ).

cnf(6403,plain,
    ( iplus8 = iF
    | iplus2 = iT ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[6145,6094]),38]),
    [iquote('para_into,6145.2.1,6094.2.1,unit_del,38')] ).

cnf(6730,plain,
    ( iminus2 = iF
    | iminus6 = iT ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[6359,5836]),38]),
    [iquote('para_into,6359.1.1,5836.2.1,unit_del,38')] ).

cnf(6754,plain,
    ( iplus2 = iT
    | iminus3 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[6370,6317]),38]),
    [iquote('para_into,6370.2.1,6317.1.1,unit_del,38')] ).

cnf(6797,plain,
    ( iplus2 = iT
    | iminus3 = iT ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[6403,99]),38])]),
    [iquote('para_into,6403.1.1,99.1.1,unit_del,38,factor_simp')] ).

cnf(7215,plain,
    ( iminus6 = iT
    | iplus4 = iT ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[6730,127]),38])]),
    [iquote('para_into,6730.1.1,127.2.1,unit_del,38,factor_simp')] ).

cnf(7318,plain,
    iplus2 = iT,
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[6797,6754]),38])]),
    [iquote('para_into,6797.2.1,6754.2.1,unit_del,38,factor_simp')] ).

cnf(7359,plain,
    iminus2 = iF,
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[212]),7318]),38]),
    [iquote('back_demod,212,demod,7318,unit_del,38')] ).

cnf(7369,plain,
    ( iplus9 = iT
    | iminus6 = iF ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[5223]),7359]),38]),
    [iquote('back_demod,5223,demod,7359,unit_del,38')] ).

cnf(7370,plain,
    ( iplus7 = iF
    | iplus6 = iT ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[5161]),7359,7359]),38]),
    [iquote('back_demod,5161,demod,7359,7359,unit_del,38')] ).

cnf(7379,plain,
    ( iplus9 = iF
    | iplus7 = iT ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[4810]),7359,7359]),38]),
    [iquote('back_demod,4810,demod,7359,7359,unit_del,38')] ).

cnf(7413,plain,
    ( iplus4 = iT
    | iplus8 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[7215,6149]),38]),
    [iquote('para_into,7215.1.1,6149.2.1,unit_del,38')] ).

cnf(7415,plain,
    ( iplus4 = iT
    | iminus6 = iminus4 ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[7215,6068]),38]),
    [iquote('para_into,7215.1.1,6068.2.1,unit_del,38')] ).

cnf(7442,plain,
    ( iplus7 = iF
    | iminus6 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[7370,207]),38]),
    [iquote('para_into,7370.2.1,207.2.1,unit_del,38')] ).

cnf(7458,plain,
    ( iplus7 = iT
    | iminus6 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[7379,7369]),38]),
    [iquote('para_into,7379.1.1,7369.1.1,unit_del,38')] ).

cnf(7460,plain,
    ( iplus7 = iT
    | iminus4 = iT ),
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[7379,131]),38])]),
    [iquote('para_into,7379.1.1,131.3.1,unit_del,38,factor_simp')] ).

cnf(7591,plain,
    iplus8 = iF,
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[7413,5919]),38])]),
    [iquote('para_into,7413.1.1,5919.2.1,unit_del,38,factor_simp')] ).

cnf(7603,plain,
    ( iplus3 = iT
    | iplus7 = iF ),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[4128]),7591]),38]),
    [iquote('back_demod,4128,demod,7591,unit_del,38')] ).

cnf(7644,plain,
    iminus6 = iminus4,
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[7415,6088]),38])]),
    [iquote('para_into,7415.1.1,6088.2.1,unit_del,38,factor_simp')] ).

cnf(7648,plain,
    ( iplus7 = iT
    | iminus4 = iF ),
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[7458]),7644]),
    [iquote('back_demod,7458,demod,7644')] ).

cnf(7651,plain,
    ( iplus7 = iF
    | iminus4 = iF ),
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[7442]),7644]),
    [iquote('back_demod,7442,demod,7644')] ).

cnf(7779,plain,
    ( iplus7 = iF
    | iminus3 = iF ),
    inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[7603,209]),38]),
    [iquote('para_into,7603.1.1,209.1.1,unit_del,38')] ).

cnf(7818,plain,
    iplus7 = iT,
    inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[7648,7460]),38])]),
    [iquote('para_into,7648.2.1,7460.2.1,unit_del,38,factor_simp')] ).

cnf(7823,plain,
    iminus3 = iF,
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[7779]),7818]),38]),
    [iquote('back_demod,7779,demod,7818,unit_del,38')] ).

cnf(7833,plain,
    iminus4 = iF,
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[7651]),7818]),38]),
    [iquote('back_demod,7651,demod,7818,unit_del,38')] ).

cnf(7834,plain,
    $false,
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2998]),7818,7823,7823,7833]),38,38,38]),
    [iquote('back_demod,2998,demod,7818,7823,7823,7833,unit_del,38,38,38')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS102+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n009.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 03:30:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.57/2.13  ----- Otter 3.3f, August 2004 -----
% 1.57/2.13  The process was started by sandbox2 on n009.cluster.edu,
% 1.57/2.13  Wed Jul 27 03:30:36 2022
% 1.57/2.13  The command was "./otter".  The process ID is 5197.
% 1.57/2.13  
% 1.57/2.13  set(prolog_style_variables).
% 1.57/2.13  set(auto).
% 1.57/2.13     dependent: set(auto1).
% 1.57/2.13     dependent: set(process_input).
% 1.57/2.13     dependent: clear(print_kept).
% 1.57/2.13     dependent: clear(print_new_demod).
% 1.57/2.13     dependent: clear(print_back_demod).
% 1.57/2.13     dependent: clear(print_back_sub).
% 1.57/2.13     dependent: set(control_memory).
% 1.57/2.13     dependent: assign(max_mem, 12000).
% 1.57/2.13     dependent: assign(pick_given_ratio, 4).
% 1.57/2.13     dependent: assign(stats_level, 1).
% 1.57/2.13     dependent: assign(max_seconds, 10800).
% 1.57/2.13  clear(print_given).
% 1.57/2.13  
% 1.57/2.13  formula_list(usable).
% 1.57/2.13  all A (A=A).
% 1.57/2.13  all A B (A=B&cTorF(A)->cTorF(B)).
% 1.57/2.13  all A B (A=B&cowlNothing(A)->cowlNothing(B)).
% 1.57/2.13  all A B (A=B&cowlThing(A)->cowlThing(B)).
% 1.57/2.13  all A B (A=B&xsd_integer(A)->xsd_integer(B)).
% 1.57/2.13  all A B (A=B&xsd_string(A)->xsd_string(B)).
% 1.57/2.13  all X (cowlThing(X)& -cowlNothing(X)).
% 1.57/2.13  all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.57/2.13  all X (cTorF(X)<->X=iplus1|X=iminus1).
% 1.57/2.13  all X (cTorF(X)<->X=iminus4|X=iplus4).
% 1.57/2.13  all X (cTorF(X)<->X=iplus2|X=iminus2).
% 1.57/2.13  all X (cTorF(X)<->X=iplus7|X=iminus7).
% 1.57/2.13  all X (cTorF(X)<->X=iplus5|X=iminus5).
% 1.57/2.13  all X (cTorF(X)<->X=iplus3|X=iminus3).
% 1.57/2.13  all X (cTorF(X)<->X=iT|X=iF).
% 1.57/2.13  all X (cTorF(X)<->X=iplus8|X=iminus8).
% 1.57/2.13  all X (cTorF(X)<->X=iminus6|X=iplus6).
% 1.57/2.13  all X (cTorF(X)<->X=iminus9|X=iplus9).
% 1.57/2.13  cowlThing(iF).
% 1.57/2.13  iT=iminus6|iT=iplus2|iT=iplus1.
% 1.57/2.13  iT=iminus6|iT=iplus9|iT=iminus7.
% 1.57/2.13  iT=iplus8|iT=iminus3|iT=iplus7.
% 1.57/2.13  iT=iplus5|iT=iplus9|iT=iminus7.
% 1.57/2.13  iT=iminus6|iT=iplus1|iT=iplus9.
% 1.57/2.13  iT=iplus3|iT=iminus9|iT=iplus4.
% 1.57/2.13  iT=iminus9|iT=iminus6|iT=iplus1.
% 1.57/2.13  cowlThing(iT).
% 1.57/2.13  iT=iminus8|iT=iminus4|iT=iplus9.
% 1.57/2.13  iT=iplus3|iT=iplus6|iT=iplus4.
% 1.57/2.13  iT=iplus1|iT=iplus7|iT=iplus4.
% 1.57/2.13  iT=iplus3|iT=iminus8|iT=iminus2.
% 1.57/2.13  iT=iminus8|iT=iplus6|iT=iplus4.
% 1.57/2.13  iT=iplus3|iT=iminus9|iT=iminus2.
% 1.57/2.13  iT=iplus6|iT=iminus2|iT=iminus7.
% 1.57/2.13  iT=iplus6|iT=iminus4|iT=iminus3.
% 1.57/2.13  iT=iminus6|iT=iplus1|iT=iminus4.
% 1.57/2.13  iT=iplus1|iT=iminus4|iT=iplus9.
% 1.57/2.13  iT=iplus8|iT=iplus2|iT=iminus4.
% 1.57/2.13  iT=iplus5|iT=iminus4|iT=iplus9.
% 1.57/2.13  iT=iminus5|iT=iplus6|iT=iplus4.
% 1.57/2.13  iT=iplus8|iT=iminus5|iT=iplus7.
% 1.57/2.13  iT=iminus5|iT=iminus9|iT=iminus2.
% 1.57/2.13  iT=iminus4|iT=iminus3|iT=iminus7.
% 1.57/2.13  iT=iplus2|iT=iplus4|iT=iminus1.
% 1.57/2.13  iT=iminus2|iT=iplus1|iT=iminus3.
% 1.57/2.13  iT=iplus3|iT=iplus6|iT=iminus4.
% 1.57/2.13  iT=iminus8|iT=iminus9|iT=iminus4.
% 1.57/2.13  iT=iplus3|iT=iplus1|iT=iplus4.
% 1.57/2.13  iT=iplus8|iT=iplus2|iT=iminus3.
% 1.57/2.13  iT=iplus3|iT=iminus8|iT=iplus9.
% 1.57/2.13  iT=iplus8|iT=iplus3|iT=iminus7.
% 1.57/2.13  iT=iminus5|iT=iminus8|iT=iminus3.
% 1.57/2.13  iT=iplus3|iT=iplus9|iT=iplus4.
% 1.57/2.13  iT=iminus8|iT=iplus6|iT=iminus7.
% 1.57/2.13  iT=iminus9|iT=iminus2|iT=iplus7.
% 1.57/2.13  iT=iplus5|iT=iminus8|iT=iminus3.
% 1.57/2.13  iT=iminus5|iT=iplus2|iT=iminus7.
% 1.57/2.13  iT=iplus6|iT=iminus2|iT=iplus9.
% 1.57/2.13  iT=iplus2|iT=iplus1|iT=iminus4.
% 1.57/2.13  iT=iplus6|iT=iminus4|iT=iminus1.
% 1.57/2.13  iT=iminus5|iT=iplus3|iT=iminus9.
% 1.57/2.13  iT=iplus5|iT=iplus2|iT=iplus9.
% 1.57/2.13  iT=iminus6|iT=iminus2|iT=iplus4.
% 1.57/2.13  iT=iplus8|iT=iplus6|iT=iminus4.
% 1.57/2.13  iT=iminus4|iT=iplus7|iT=iplus9.
% 1.57/2.13  cowlThing(iminus1).
% 1.57/2.13  cowlThing(iminus2).
% 1.57/2.13  cowlThing(iminus3).
% 1.57/2.13  cowlThing(iminus4).
% 1.57/2.13  cowlThing(iminus5).
% 1.57/2.13  cowlThing(iminus6).
% 1.57/2.13  cowlThing(iminus7).
% 1.57/2.13  cowlThing(iminus8).
% 1.57/2.13  cowlThing(iminus9).
% 1.57/2.13  cowlThing(iplus1).
% 1.57/2.13  cowlThing(iplus2).
% 1.57/2.13  cowlThing(iplus3).
% 1.57/2.13  cowlThing(iplus4).
% 1.57/2.13  cowlThing(iplus5).
% 1.57/2.13  cowlThing(iplus6).
% 1.57/2.13  cowlThing(iplus7).
% 1.57/2.13  cowlThing(iplus8).
% 1.57/2.13  cowlThing(iplus9).
% 1.57/2.13  iT!=iF.
% 1.57/2.13  end_of_list.
% 1.57/2.13  
% 1.57/2.13  -------> usable clausifies to:
% 1.57/2.13  
% 1.57/2.13  list(usable).
% 1.57/2.13  0 [] A=A.
% 1.57/2.13  0 [] A!=B| -cTorF(A)|cTorF(B).
% 1.57/2.13  0 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.57/2.13  0 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.57/2.13  0 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.57/2.13  0 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.57/2.13  0 [] cowlThing(X).
% 1.57/2.13  0 [] -cowlNothing(X).
% 1.57/2.13  0 [] -xsd_string(X)| -xsd_integer(X).
% 1.57/2.13  0 [] xsd_string(X)|xsd_integer(X).
% 1.57/2.13  0 [] -cTorF(X)|X=iplus1|X=iminus1.
% 1.57/2.13  0 [] cTorF(X)|X!=iplus1.
% 1.57/2.13  0 [] cTorF(X)|X!=iminus1.
% 1.57/2.13  0 [] -cTorF(X)|X=iminus4|X=iplus4.
% 1.57/2.13  0 [] cTorF(X)|X!=iminus4.
% 1.57/2.13  0 [] cTorF(X)|X!=iplus4.
% 1.57/2.13  0 [] -cTorF(X)|X=iplus2|X=iminus2.
% 1.57/2.13  0 [] cTorF(X)|X!=iplus2.
% 1.57/2.13  0 [] cTorF(X)|X!=iminus2.
% 1.57/2.13  0 [] -cTorF(X)|X=iplus7|X=iminus7.
% 1.57/2.13  0 [] cTorF(X)|X!=iplus7.
% 1.57/2.13  0 [] cTorF(X)|X!=iminus7.
% 1.57/2.13  0 [] -cTorF(X)|X=iplus5|X=iminus5.
% 1.57/2.13  0 [] cTorF(X)|X!=iplus5.
% 1.57/2.13  0 [] cTorF(X)|X!=iminus5.
% 1.57/2.13  0 [] -cTorF(X)|X=iplus3|X=iminus3.
% 1.57/2.13  0 [] cTorF(X)|X!=iplus3.
% 1.57/2.13  0 [] cTorF(X)|X!=iminus3.
% 1.57/2.13  0 [] -cTorF(X)|X=iT|X=iF.
% 1.57/2.13  0 [] cTorF(X)|X!=iT.
% 1.57/2.13  0 [] cTorF(X)|X!=iF.
% 1.57/2.13  0 [] -cTorF(X)|X=iplus8|X=iminus8.
% 1.57/2.13  0 [] cTorF(X)|X!=iplus8.
% 1.57/2.13  0 [] cTorF(X)|X!=iminus8.
% 1.57/2.13  0 [] -cTorF(X)|X=iminus6|X=iplus6.
% 1.57/2.13  0 [] cTorF(X)|X!=iminus6.
% 1.57/2.13  0 [] cTorF(X)|X!=iplus6.
% 1.57/2.13  0 [] -cTorF(X)|X=iminus9|X=iplus9.
% 1.57/2.13  0 [] cTorF(X)|X!=iminus9.
% 1.57/2.13  0 [] cTorF(X)|X!=iplus9.
% 1.57/2.13  0 [] cowlThing(iF).
% 1.57/2.13  0 [] iT=iminus6|iT=iplus2|iT=iplus1.
% 1.57/2.13  0 [] iT=iminus6|iT=iplus9|iT=iminus7.
% 1.57/2.13  0 [] iT=iplus8|iT=iminus3|iT=iplus7.
% 1.57/2.13  0 [] iT=iplus5|iT=iplus9|iT=iminus7.
% 1.57/2.13  0 [] iT=iminus6|iT=iplus1|iT=iplus9.
% 1.57/2.13  0 [] iT=iplus3|iT=iminus9|iT=iplus4.
% 1.57/2.13  0 [] iT=iminus9|iT=iminus6|iT=iplus1.
% 1.57/2.13  0 [] cowlThing(iT).
% 1.57/2.13  0 [] iT=iminus8|iT=iminus4|iT=iplus9.
% 1.57/2.13  0 [] iT=iplus3|iT=iplus6|iT=iplus4.
% 1.57/2.13  0 [] iT=iplus1|iT=iplus7|iT=iplus4.
% 1.57/2.13  0 [] iT=iplus3|iT=iminus8|iT=iminus2.
% 1.57/2.13  0 [] iT=iminus8|iT=iplus6|iT=iplus4.
% 1.57/2.13  0 [] iT=iplus3|iT=iminus9|iT=iminus2.
% 1.57/2.13  0 [] iT=iplus6|iT=iminus2|iT=iminus7.
% 1.57/2.13  0 [] iT=iplus6|iT=iminus4|iT=iminus3.
% 1.57/2.13  0 [] iT=iminus6|iT=iplus1|iT=iminus4.
% 1.57/2.13  0 [] iT=iplus1|iT=iminus4|iT=iplus9.
% 1.57/2.13  0 [] iT=iplus8|iT=iplus2|iT=iminus4.
% 1.57/2.13  0 [] iT=iplus5|iT=iminus4|iT=iplus9.
% 1.57/2.13  0 [] iT=iminus5|iT=iplus6|iT=iplus4.
% 1.57/2.13  0 [] iT=iplus8|iT=iminus5|iT=iplus7.
% 1.57/2.13  0 [] iT=iminus5|iT=iminus9|iT=iminus2.
% 1.57/2.13  0 [] iT=iminus4|iT=iminus3|iT=iminus7.
% 1.57/2.13  0 [] iT=iplus2|iT=iplus4|iT=iminus1.
% 1.57/2.13  0 [] iT=iminus2|iT=iplus1|iT=iminus3.
% 1.57/2.13  0 [] iT=iplus3|iT=iplus6|iT=iminus4.
% 1.57/2.13  0 [] iT=iminus8|iT=iminus9|iT=iminus4.
% 1.57/2.13  0 [] iT=iplus3|iT=iplus1|iT=iplus4.
% 1.57/2.13  0 [] iT=iplus8|iT=iplus2|iT=iminus3.
% 1.57/2.13  0 [] iT=iplus3|iT=iminus8|iT=iplus9.
% 1.57/2.13  0 [] iT=iplus8|iT=iplus3|iT=iminus7.
% 1.57/2.13  0 [] iT=iminus5|iT=iminus8|iT=iminus3.
% 1.57/2.13  0 [] iT=iplus3|iT=iplus9|iT=iplus4.
% 1.57/2.13  0 [] iT=iminus8|iT=iplus6|iT=iminus7.
% 1.57/2.13  0 [] iT=iminus9|iT=iminus2|iT=iplus7.
% 1.57/2.13  0 [] iT=iplus5|iT=iminus8|iT=iminus3.
% 1.57/2.13  0 [] iT=iminus5|iT=iplus2|iT=iminus7.
% 1.57/2.13  0 [] iT=iplus6|iT=iminus2|iT=iplus9.
% 1.57/2.13  0 [] iT=iplus2|iT=iplus1|iT=iminus4.
% 1.57/2.13  0 [] iT=iplus6|iT=iminus4|iT=iminus1.
% 1.57/2.13  0 [] iT=iminus5|iT=iplus3|iT=iminus9.
% 1.57/2.13  0 [] iT=iplus5|iT=iplus2|iT=iplus9.
% 1.57/2.13  0 [] iT=iminus6|iT=iminus2|iT=iplus4.
% 1.57/2.13  0 [] iT=iplus8|iT=iplus6|iT=iminus4.
% 1.57/2.13  0 [] iT=iminus4|iT=iplus7|iT=iplus9.
% 1.57/2.13  0 [] cowlThing(iminus1).
% 1.57/2.13  0 [] cowlThing(iminus2).
% 1.57/2.13  0 [] cowlThing(iminus3).
% 1.57/2.13  0 [] cowlThing(iminus4).
% 1.57/2.13  0 [] cowlThing(iminus5).
% 1.57/2.13  0 [] cowlThing(iminus6).
% 1.57/2.13  0 [] cowlThing(iminus7).
% 1.57/2.13  0 [] cowlThing(iminus8).
% 1.57/2.13  0 [] cowlThing(iminus9).
% 1.57/2.13  0 [] cowlThing(iplus1).
% 1.57/2.13  0 [] cowlThing(iplus2).
% 1.57/2.13  0 [] cowlThing(iplus3).
% 1.57/2.13  0 [] cowlThing(iplus4).
% 1.57/2.13  0 [] cowlThing(iplus5).
% 1.57/2.13  0 [] cowlThing(iplus6).
% 1.57/2.13  0 [] cowlThing(iplus7).
% 1.57/2.13  0 [] cowlThing(iplus8).
% 1.57/2.13  0 [] cowlThing(iplus9).
% 1.57/2.13  0 [] iT!=iF.
% 1.57/2.13  end_of_list.
% 1.57/2.13  
% 1.57/2.13  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.57/2.13  
% 1.57/2.13  This ia a non-Horn set with equality.  The strategy will be
% 1.57/2.13  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.57/2.13  deletion, with positive clauses in sos and nonpositive
% 1.57/2.13  clauses in usable.
% 1.57/2.13  
% 1.57/2.13     dependent: set(knuth_bendix).
% 1.57/2.13     dependent: set(anl_eq).
% 1.57/2.13     dependent: set(para_from).
% 1.57/2.13     dependent: set(para_into).
% 1.57/2.13     dependent: clear(para_from_right).
% 1.57/2.13     dependent: clear(para_into_right).
% 1.57/2.13     dependent: set(para_from_vars).
% 1.57/2.13     dependent: set(eq_units_both_ways).
% 1.57/2.13     dependent: set(dynamic_demod_all).
% 1.57/2.13     dependent: set(dynamic_demod).
% 1.57/2.13     dependent: set(order_eq).
% 1.57/2.13     dependent: set(back_demod).
% 1.57/2.13     dependent: set(lrpo).
% 1.57/2.13     dependent: set(hyper_res).
% 1.57/2.13     dependent: set(unit_deletion).
% 1.57/2.13     dependent: set(factor).
% 1.57/2.13  
% 1.57/2.13  ------------> process usable:
% 1.57/2.13  ** KEPT (pick-wt=7): 1 [] A!=B| -cTorF(A)|cTorF(B).
% 1.57/2.13  ** KEPT (pick-wt=7): 2 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.57/2.13  ** KEPT (pick-wt=7): 3 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.57/2.13  ** KEPT (pick-wt=7): 4 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.57/2.13  ** KEPT (pick-wt=7): 5 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.57/2.13  ** KEPT (pick-wt=2): 6 [] -cowlNothing(A).
% 1.57/2.13  ** KEPT (pick-wt=4): 7 [] -xsd_string(A)| -xsd_integer(A).
% 1.57/2.13  ** KEPT (pick-wt=8): 8 [] -cTorF(A)|A=iplus1|A=iminus1.
% 1.57/2.13  ** KEPT (pick-wt=5): 9 [] cTorF(A)|A!=iplus1.
% 1.57/2.13  ** KEPT (pick-wt=5): 10 [] cTorF(A)|A!=iminus1.
% 1.57/2.13  ** KEPT (pick-wt=8): 11 [] -cTorF(A)|A=iminus4|A=iplus4.
% 1.57/2.13  ** KEPT (pick-wt=5): 12 [] cTorF(A)|A!=iminus4.
% 1.57/2.13  ** KEPT (pick-wt=5): 13 [] cTorF(A)|A!=iplus4.
% 1.57/2.13  ** KEPT (pick-wt=8): 14 [] -cTorF(A)|A=iplus2|A=iminus2.
% 1.57/2.13  ** KEPT (pick-wt=5): 15 [] cTorF(A)|A!=iplus2.
% 1.57/2.13  ** KEPT (pick-wt=5): 16 [] cTorF(A)|A!=iminus2.
% 1.57/2.13  ** KEPT (pick-wt=8): 17 [] -cTorF(A)|A=iplus7|A=iminus7.
% 1.57/2.13  ** KEPT (pick-wt=5): 18 [] cTorF(A)|A!=iplus7.
% 1.57/2.13  ** KEPT (pick-wt=5): 19 [] cTorF(A)|A!=iminus7.
% 1.57/2.13  ** KEPT (pick-wt=8): 20 [] -cTorF(A)|A=iplus5|A=iminus5.
% 1.57/2.13  ** KEPT (pick-wt=5): 21 [] cTorF(A)|A!=iplus5.
% 1.57/2.13  ** KEPT (pick-wt=5): 22 [] cTorF(A)|A!=iminus5.
% 1.57/2.13  ** KEPT (pick-wt=8): 23 [] -cTorF(A)|A=iplus3|A=iminus3.
% 1.57/2.13  ** KEPT (pick-wt=5): 24 [] cTorF(A)|A!=iplus3.
% 1.57/2.13  ** KEPT (pick-wt=5): 25 [] cTorF(A)|A!=iminus3.
% 1.57/2.13  ** KEPT (pick-wt=8): 26 [] -cTorF(A)|A=iT|A=iF.
% 1.57/2.13  ** KEPT (pick-wt=5): 27 [] cTorF(A)|A!=iT.
% 1.57/2.13  ** KEPT (pick-wt=5): 28 [] cTorF(A)|A!=iF.
% 1.57/2.13  ** KEPT (pick-wt=8): 29 [] -cTorF(A)|A=iplus8|A=iminus8.
% 1.57/2.13  ** KEPT (pick-wt=5): 30 [] cTorF(A)|A!=iplus8.
% 1.57/2.13  ** KEPT (pick-wt=5): 31 [] cTorF(A)|A!=iminus8.
% 1.57/2.13  ** KEPT (pick-wt=8): 32 [] -cTorF(A)|A=iminus6|A=iplus6.
% 1.57/2.13  ** KEPT (pick-wt=5): 33 [] cTorF(A)|A!=iminus6.
% 1.57/2.13  ** KEPT (pick-wt=5): 34 [] cTorF(A)|A!=iplus6.
% 1.57/2.13  ** KEPT (pick-wt=8): 35 [] -cTorF(A)|A=iminus9|A=iplus9.
% 1.57/2.13  ** KEPT (pick-wt=5): 36 [] cTorF(A)|A!=iminus9.
% 1.57/2.13  ** KEPT (pick-wt=5): 37 [] cTorF(A)|A!=iplus9.
% 1.57/2.13  ** KEPT (pick-wt=3): 38 [] iT!=iF.
% 1.57/2.13  6 back subsumes 2.
% 1.57/2.13  
% 1.57/2.13  ------------> process sos:
% 1.57/2.13  ** KEPT (pick-wt=3): 39 [] A=A.
% 1.57/2.13  ** KEPT (pick-wt=2): 40 [] cowlThing(A).
% 1.57/2.13  ** KEPT (pick-wt=4): 41 [] xsd_string(A)|xsd_integer(A).
% 1.57/2.13    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iF).
% 1.57/2.13  ** KEPT (pick-wt=9): 43 [copy,42,flip.1,flip.2,flip.3] iminus6=iT|iplus2=iT|iplus1=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 45 [copy,44,flip.1,flip.2,flip.3] iminus6=iT|iplus9=iT|iminus7=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 47 [copy,46,flip.1,flip.2,flip.3] iplus8=iT|iminus3=iT|iplus7=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 49 [copy,48,flip.1,flip.2,flip.3] iplus5=iT|iplus9=iT|iminus7=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 51 [copy,50,flip.1,flip.2,flip.3] iminus6=iT|iplus1=iT|iplus9=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 53 [copy,52,flip.1,flip.2,flip.3] iplus3=iT|iminus9=iT|iplus4=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 55 [copy,54,flip.1,flip.2,flip.3] iminus9=iT|iminus6=iT|iplus1=iT.
% 1.57/2.13    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iT).
% 1.57/2.13  ** KEPT (pick-wt=9): 57 [copy,56,flip.1,flip.2,flip.3] iminus8=iT|iminus4=iT|iplus9=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 59 [copy,58,flip.1,flip.2,flip.3] iplus3=iT|iplus6=iT|iplus4=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 61 [copy,60,flip.1,flip.2,flip.3] iplus1=iT|iplus7=iT|iplus4=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 63 [copy,62,flip.1,flip.2,flip.3] iplus3=iT|iminus8=iT|iminus2=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 65 [copy,64,flip.1,flip.2,flip.3] iminus8=iT|iplus6=iT|iplus4=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 67 [copy,66,flip.1,flip.2,flip.3] iplus3=iT|iminus9=iT|iminus2=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 69 [copy,68,flip.1,flip.2,flip.3] iplus6=iT|iminus2=iT|iminus7=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 71 [copy,70,flip.1,flip.2,flip.3] iplus6=iT|iminus4=iT|iminus3=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 73 [copy,72,flip.1,flip.2,flip.3] iminus6=iT|iplus1=iT|iminus4=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 75 [copy,74,flip.1,flip.2,flip.3] iplus1=iT|iminus4=iT|iplus9=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 77 [copy,76,flip.1,flip.2,flip.3] iplus8=iT|iplus2=iT|iminus4=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 79 [copy,78,flip.1,flip.2,flip.3] iplus5=iT|iminus4=iT|iplus9=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 81 [copy,80,flip.1,flip.2,flip.3] iminus5=iT|iplus6=iT|iplus4=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 83 [copy,82,flip.1,flip.2,flip.3] iplus8=iT|iminus5=iT|iplus7=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 85 [copy,84,flip.1,flip.2,flip.3] iminus5=iT|iminus9=iT|iminus2=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 87 [copy,86,flip.1,flip.2,flip.3] iminus4=iT|iminus3=iT|iminus7=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 89 [copy,88,flip.1,flip.2,flip.3] iplus2=iT|iplus4=iT|iminus1=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 91 [copy,90,flip.1,flip.2,flip.3] iminus2=iT|iplus1=iT|iminus3=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 93 [copy,92,flip.1,flip.2,flip.3] iplus3=iT|iplus6=iT|iminus4=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 95 [copy,94,flip.1,flip.2,flip.3] iminus8=iT|iminus9=iT|iminus4=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 97 [copy,96,flip.1,flip.2,flip.3] iplus3=iT|iplus1=iT|iplus4=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 99 [copy,98,flip.1,flip.2,flip.3] iplus8=iT|iplus2=iT|iminus3=iT.
% 1.57/2.13  ** KEPT (pick-wt=9): 101 [copy,100,flip.1,flip.2,flip.3] iplus3=iT|iminus8=iT|iplus9=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 103 [copy,102,flip.1,flip.2,flip.3] iplus8=iT|iplus3=iT|iminus7=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 105 [copy,104,flip.1,flip.2,flip.3] iminus5=iT|iminus8=iT|iminus3=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 107 [copy,106,flip.1,flip.2,flip.3] iplus3=iT|iplus9=iT|iplus4=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 109 [copy,108,flip.1,flip.2,flip.3] iminus8=iT|iplus6=iT|iminus7=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 111 [copy,110,flip.1,flip.2,flip.3] iminus9=iT|iminus2=iT|iplus7=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 113 [copy,112,flip.1,flip.2,flip.3] iplus5=iT|iminus8=iT|iminus3=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 115 [copy,114,flip.1,flip.2,flip.3] iminus5=iT|iplus2=iT|iminus7=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 117 [copy,116,flip.1,flip.2,flip.3] iplus6=iT|iminus2=iT|iplus9=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 119 [copy,118,flip.1,flip.2,flip.3] iplus2=iT|iplus1=iT|iminus4=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 121 [copy,120,flip.1,flip.2,flip.3] iplus6=iT|iminus4=iT|iminus1=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 123 [copy,122,flip.1,flip.2,flip.3] iminus5=iT|iplus3=iT|iminus9=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 125 [copy,124,flip.1,flip.2,flip.3] iplus5=iT|iplus2=iT|iplus9=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 127 [copy,126,flip.1,flip.2,flip.3] iminus6=iT|iminus2=iT|iplus4=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 129 [copy,128,flip.1,flip.2,flip.3] iplus8=iT|iplus6=iT|iminus4=iT.
% 8.88/9.07  ** KEPT (pick-wt=9): 131 [copy,130,flip.1,flip.2,flip.3] iminus4=iT|iplus7=iT|iplus9=iT.
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iminus1).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iminus2).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iminus3).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iminus4).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iminus5).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iminus6).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iminus7).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iminus8).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iminus9).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iplus1).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iplus2).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iplus3).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iplus4).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iplus5).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iplus6).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iplus7).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iplus8).
% 8.88/9.07    Following clause subsumed by 40 during input processing: 0 [] cowlThing(iplus9).
% 8.88/9.07    Following clause subsumed by 39 during input processing: 0 [copy,39,flip.1] A=A.
% 8.88/9.07  40 back subsumes 3.
% 8.88/9.07  
% 8.88/9.07  ======= end of input processing =======
% 8.88/9.07  
% 8.88/9.07  =========== start of search ===========
% 8.88/9.07  
% 8.88/9.07  
% 8.88/9.07  Resetting weight limit to 7.
% 8.88/9.07  
% 8.88/9.07  
% 8.88/9.07  Resetting weight limit to 7.
% 8.88/9.07  
% 8.88/9.07  sos_size=5321
% 8.88/9.07  
% 8.88/9.07  
% 8.88/9.07  Resetting weight limit to 6.
% 8.88/9.07  
% 8.88/9.07  
% 8.88/9.07  Resetting weight limit to 6.
% 8.88/9.07  
% 8.88/9.07  sos_size=3737
% 8.88/9.07  
% 8.88/9.07  -------- PROOF -------- 
% 8.88/9.07  
% 8.88/9.07  -----> EMPTY CLAUSE at   6.93 sec ----> 7834 [back_demod,2998,demod,7818,7823,7823,7833,unit_del,38,38,38] $F.
% 8.88/9.07  
% 8.88/9.07  Length of proof is 94.  Level of proof is 17.
% 8.88/9.07  
% 8.88/9.07  ---------------- PROOF ----------------
% 8.88/9.07  % SZS status Theorem
% 8.88/9.07  % SZS output start Refutation
% See solution above
% 8.88/9.07  ------------ end of proof -------------
% 8.88/9.07  
% 8.88/9.07  
% 8.88/9.07  Search stopped by max_proofs option.
% 8.88/9.07  
% 8.88/9.07  
% 8.88/9.07  Search stopped by max_proofs option.
% 8.88/9.07  
% 8.88/9.07  ============ end of search ============
% 8.88/9.07  
% 8.88/9.07  -------------- statistics -------------
% 8.88/9.07  clauses given               2238
% 8.88/9.07  clauses generated        2184711
% 8.88/9.07  clauses kept                7771
% 8.88/9.07  clauses forward subsumed   34945
% 8.88/9.07  clauses back subsumed       2549
% 8.88/9.07  Kbytes malloced             4882
% 8.88/9.07  
% 8.88/9.07  ----------- times (seconds) -----------
% 8.88/9.07  user CPU time          6.93          (0 hr, 0 min, 6 sec)
% 8.88/9.07  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 8.88/9.07  wall-clock time        9             (0 hr, 0 min, 9 sec)
% 8.88/9.07  
% 8.88/9.07  That finishes the proof of the theorem.
% 8.88/9.07  
% 8.88/9.07  Process 5197 finished Wed Jul 27 03:30:45 2022
% 8.88/9.07  Otter interrupted
% 8.88/9.07  PROOF FOUND
%------------------------------------------------------------------------------