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E-SAT---3.5.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : GRP128-1.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:42:09 PM UTC 2026

% Result   : Satisfiable 9.34s 2.07s
% Output   : Saturation 9.34s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_30ERROR: Could not build tree for root c_0_41ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_22,plain,
    ( ~ group_element(X2)
    | ~ group_element(X1)
    | product(X1,X2,e_4)
    | product(X1,X2,e_3)
    | product(X1,X2,e_2)
    | product(X1,X2,e_1) ),
    c_0_21,
    [final] ).

cnf(c_0_23,axiom,
    group_element(e_3),
    element_3,
    [final] ).

cnf(c_0_25,plain,
    ( ~ group_element(X1)
    | product(X1,e_3,e_4)
    | product(X1,e_3,e_3)
    | product(X1,e_3,e_2)
    | product(X1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]),
    [final] ).

cnf(c_0_26,axiom,
    group_element(e_1),
    element_1,
    [final] ).

cnf(c_0_28,negated_conjecture,
    ( ~ product(X3,X2,X4)
    | ~ product(X1,X2,X3)
    | product(X1,X3,X4) ),
    c_0_24,
    [final] ).

cnf(c_0_31,axiom,
    group_element(e_4),
    element_4,
    [final] ).

cnf(c_0_32,plain,
    ( ~ product(X1,X4,X3)
    | ~ product(X1,X2,X3)
    | equalish(X2,X4) ),
    c_0_27,
    [final] ).

cnf(c_0_35,plain,
    ( ~ product(X4,X2,X3)
    | ~ product(X1,X2,X3)
    | equalish(X1,X4) ),
    c_0_30,
    [final] ).

cnf(c_0_36,plain,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_25,c_0_31]),
    [final] ).

cnf(c_0_40,plain,
    ~ equalish(e_1,e_3),
    c_0_34,
    [final] ).

cnf(c_0_41,plain,
    ( ~ product(X1,e_3,e_1)
    | equalish(X1,e_4)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]),
    [final] ).

cnf(c_0_43,plain,
    ~ equalish(e_3,e_4),
    c_0_37,
    [final] ).

cnf(c_0_44,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),
    [final] ).

cnf(c_0_46,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_4)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_44]),
    [final] ).

cnf(c_0_49,plain,
    ( ~ group_element(X1)
    | product(X1,e_4,e_4)
    | product(X1,e_4,e_3)
    | product(X1,e_4,e_2)
    | product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_31]),
    [final] ).

cnf(c_0_54,plain,
    ~ equalish(e_4,e_3),
    c_0_48,
    [final] ).

cnf(c_0_55,plain,
    ( product(e_3,e_4,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_23]),
    [final] ).

cnf(c_0_59,plain,
    ( ~ product(e_3,X1,e_1)
    | equalish(X1,e_4)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_55]),
    [final] ).

cnf(c_0_66,plain,
    ~ equalish(e_4,e_1),
    c_0_62,
    [final] ).

cnf(c_0_70,plain,
    ~ equalish(e_1,e_4),
    c_0_67,
    [final] ).

cnf(c_0_77,axiom,
    group_element(e_2),
    element_2,
    [final] ).

cnf(c_0_79,plain,
    ( ~ group_element(X1)
    | product(X1,e_2,e_4)
    | product(X1,e_2,e_3)
    | product(X1,e_2,e_2)
    | product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_77]),
    [final] ).

cnf(c_0_87,plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_79,c_0_31]),
    [final] ).

cnf(c_0_90,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | equalish(X1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_44]),
    [final] ).

cnf(c_0_91,plain,
    ~ equalish(e_3,e_1),
    c_0_84,
    [final] ).

cnf(c_0_94,plain,
    ~ equalish(e_1,e_2),
    c_0_86,
    [final] ).

cnf(c_0_95,plain,
    ( ~ product(X1,e_2,e_1)
    | equalish(X1,e_4)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_87]),
    [final] ).

cnf(c_0_97,plain,
    ~ equalish(e_2,e_4),
    c_0_88,
    [final] ).

cnf(c_0_101,negated_conjecture,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),
    [final] ).

cnf(c_0_105,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | product(X1,e_4,e_1)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_36]),
    [final] ).

cnf(c_0_107,negated_conjecture,
    ( ~ product(X1,e_2,e_1)
    | product(X1,e_1,e_4)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_101]),
    [final] ).

cnf(c_0_117,plain,
    ~ equalish(e_4,e_2),
    c_0_109,
    [final] ).

cnf(c_0_120,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_70]),
    [final] ).

cnf(c_0_124,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_120]),
    [final] ).

cnf(c_0_134,plain,
    ( ~ product(X1,X2,X4)
    | ~ product(X1,X2,X3)
    | equalish(X3,X4) ),
    c_0_127,
    [final] ).

cnf(c_0_139,plain,
    ~ equalish(e_2,e_3),
    c_0_131,
    [final] ).

cnf(c_0_150,plain,
    ( ~ group_element(X1)
    | product(X1,e_1,e_4)
    | product(X1,e_1,e_3)
    | product(X1,e_1,e_2)
    | product(X1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_26]),
    [final] ).

cnf(c_0_153,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_40]),
    [final] ).

cnf(c_0_157,negated_conjecture,
    ( ~ product(X1,e_3,e_3)
    | equalish(X1,e_3)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_153]),
    [final] ).

cnf(c_0_162,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_150,c_0_26]),
    [final] ).

cnf(c_0_196,plain,
    ~ equalish(e_2,e_1),
    c_0_190,
    [final] ).

cnf(c_0_200,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_193,c_0_155]),
    [final] ).

cnf(c_0_203,plain,
    ~ equalish(e_3,e_2),
    c_0_197,
    [final] ).

cnf(c_0_205,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_199,c_0_160]),
    [final] ).

cnf(c_0_206,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_200]),
    [final] ).

cnf(c_0_207,negated_conjecture,
    ( ~ product(X1,e_2,e_4)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_101]),
    [final] ).

cnf(c_0_210,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | product(X1,e_3,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_205]),
    [final] ).

cnf(c_0_211,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_205]),c_0_43]),
    [final] ).

cnf(c_0_216,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_210,c_0_211]),
    [final] ).

cnf(c_0_220,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_4,e_3,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_216]),
    [final] ).

cnf(c_0_221,negated_conjecture,
    ( ~ product(e_1,X1,e_4)
    | equalish(X1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_120]),
    [final] ).

cnf(c_0_226,negated_conjecture,
    ( ~ product(X1,e_2,e_4)
    | product(X1,e_4,e_1)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_87]),
    [final] ).

cnf(c_0_227,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_101]),c_0_97]),
    [final] ).

cnf(c_0_233,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_227]),
    [final] ).

cnf(c_0_235,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | equalish(X1,e_3)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_205]),
    [final] ).

cnf(c_0_236,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_230,c_0_191]),
    [final] ).

cnf(c_0_242,negated_conjecture,
    ( ~ product(e_3,X1,e_3)
    | equalish(X1,e_3)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_153]),
    [final] ).

cnf(c_0_244,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_54]),
    [final] ).

cnf(c_0_245,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_196]),
    [final] ).

cnf(c_0_247,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_236]),c_0_97]),
    [final] ).

cnf(c_0_248,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | product(X1,e_2,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_236]),
    [final] ).

cnf(c_0_250,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | product(X1,e_3,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_244]),
    [final] ).

cnf(c_0_251,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_245]),
    [final] ).

cnf(c_0_253,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_247]),
    [final] ).

cnf(c_0_255,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_250,c_0_244]),
    [final] ).

cnf(c_0_267,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_3,e_2,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_203]),
    [final] ).

cnf(c_0_269,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_43]),
    [final] ).

cnf(c_0_270,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_247]),
    [final] ).

cnf(c_0_271,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_200]),
    [final] ).

cnf(c_0_272,negated_conjecture,
    ( ~ product(X1,e_2,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_245]),
    [final] ).

cnf(c_0_275,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_269]),
    [final] ).

cnf(c_0_277,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_271,c_0_200]),
    [final] ).

cnf(c_0_280,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_54]),
    [final] ).

cnf(c_0_281,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_4)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_277]),
    [final] ).

cnf(c_0_283,negated_conjecture,
    product(e_2,e_2,e_2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_279]),c_0_117]),
    [final] ).

cnf(c_0_284,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | product(X1,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_280]),
    [final] ).

cnf(c_0_285,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_280]),c_0_97]),
    [final] ).

cnf(c_0_286,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_4,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_196]),
    [final] ).

cnf(c_0_288,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | equalish(X1,e_4)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_286]),
    [final] ).

cnf(c_0_291,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | equalish(X1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_280]),
    [final] ).

cnf(c_0_297,negated_conjecture,
    ( ~ product(X1,e_2,e_2)
    | equalish(X1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_283]),
    [final] ).

cnf(c_0_299,negated_conjecture,
    ( ~ product(e_2,X1,e_2)
    | equalish(X1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_283]),
    [final] ).

cnf(c_0_301,plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_77]),
    [final] ).

cnf(c_0_302,negated_conjecture,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_94]),
    [final] ).

cnf(c_0_304,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_124,c_0_301]),
    [final] ).

cnf(c_0_305,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_227]),
    [final] ).

cnf(c_0_306,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | product(X1,e_2,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_302]),
    [final] ).

cnf(c_0_308,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | product(X1,e_3,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_269]),
    [final] ).

cnf(c_0_309,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_304]),
    [final] ).

cnf(c_0_310,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_227]),
    [final] ).

cnf(c_0_311,negated_conjecture,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_2,e_3,e_4) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_302]),c_0_196]),c_0_306]),
    [final] ).

cnf(c_0_315,negated_conjecture,
    ( ~ product(X1,e_2,e_4)
    | equalish(X1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_267]),
    [final] ).

cnf(c_0_317,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | product(X1,e_2,e_1)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_301]),
    [final] ).

cnf(c_0_320,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | equalish(X1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_311]),
    [final] ).

cnf(c_0_321,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_117]),
    [final] ).

cnf(c_0_322,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_4,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_314]),c_0_54]),
    [final] ).

cnf(c_0_323,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | product(X1,e_3,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_267]),
    [final] ).

cnf(c_0_326,negated_conjecture,
    ( ~ product(e_1,e_2,X1)
    | equalish(X1,e_4)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_101]),
    [final] ).

cnf(c_0_329,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | equalish(X1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_322]),
    [final] ).

cnf(c_0_337,negated_conjecture,
    ( product(e_3,e_4,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_334]),c_0_117]),
    [final] ).

cnf(c_0_340,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | product(X1,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_337]),
    [final] ).

cnf(c_0_344,negated_conjecture,
    ( ~ product(e_2,X1,e_3)
    | equalish(X1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_302]),
    [final] ).

cnf(c_0_348,negated_conjecture,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_200]),
    [final] ).

cnf(c_0_353,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_4,e_4)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_244]),c_0_43]),
    [final] ).

cnf(c_0_355,negated_conjecture,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_350]),c_0_94]),
    [final] ).

cnf(c_0_357,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_353]),
    [final] ).

cnf(c_0_359,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_311]),
    [final] ).

cnf(c_0_366,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_44]),c_0_43]),
    [final] ).

cnf(c_0_369,plain,
    ( ~ product(X1,e_4,e_1)
    | equalish(X1,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_55]),
    [final] ).

cnf(c_0_372,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_366]),
    [final] ).

cnf(c_0_377,plain,
    ( ~ product(e_4,X1,e_1)
    | equalish(X1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_36]),
    [final] ).

cnf(c_0_385,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_196]),
    [final] ).

cnf(c_0_390,plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_79,c_0_23]),
    [final] ).

cnf(c_0_391,negated_conjecture,
    ( ~ product(X1,e_3,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_385]),
    [final] ).

cnf(c_0_394,negated_conjecture,
    ( product(e_2,e_1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_388]),c_0_94]),
    [final] ).

cnf(c_0_398,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_244]),c_0_40]),
    [final] ).

cnf(c_0_399,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_3,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_153]),c_0_91]),
    [final] ).

cnf(c_0_401,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | product(X1,e_2,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_394]),
    [final] ).

cnf(c_0_405,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | product(X1,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_398]),
    [final] ).

cnf(c_0_406,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_399]),
    [final] ).

cnf(c_0_407,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | product(X1,e_3,e_1)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_55]),
    [final] ).

cnf(c_0_408,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_124,c_0_55]),
    [final] ).

cnf(c_0_409,negated_conjecture,
    ( product(e_2,e_1,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_400]),c_0_91]),
    [final] ).

cnf(c_0_414,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | product(X1,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_255]),
    [final] ).

cnf(c_0_418,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_398]),
    [final] ).

cnf(c_0_420,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_3,e_3,e_2)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_406,c_0_36]),
    [final] ).

cnf(c_0_421,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_407,c_0_408]),
    [final] ).

cnf(c_0_424,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | equalish(X1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_244]),
    [final] ).

cnf(c_0_428,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_286]),c_0_40]),
    [final] ).

cnf(c_0_429,plain,
    ( product(e_4,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_31]),
    [final] ).

cnf(c_0_430,negated_conjecture,
    ( ~ product(e_1,X1,e_4)
    | equalish(X1,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_44]),
    [final] ).

cnf(c_0_431,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_255]),
    [final] ).

cnf(c_0_434,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_417]),c_0_117]),
    [final] ).

cnf(c_0_436,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_420]),
    [final] ).

cnf(c_0_437,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_1,e_4)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_421]),
    [final] ).

cnf(c_0_441,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_2,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_43]),
    [final] ).

cnf(c_0_443,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | equalish(X1,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_428]),
    [final] ).

cnf(c_0_445,negated_conjecture,
    ( ~ product(X1,e_4,e_4)
    | product(X1,e_4,e_1)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_429]),
    [final] ).

cnf(c_0_446,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_101]),c_0_139]),
    [final] ).

cnf(c_0_452,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_4)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_44]),
    [final] ).

cnf(c_0_456,negated_conjecture,
    ( ~ product(X1,e_2,e_4)
    | equalish(X1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_441]),
    [final] ).

cnf(c_0_459,plain,
    ( ~ product(X1,e_4,e_1)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_429]),
    [final] ).

cnf(c_0_461,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_446]),
    [final] ).

cnf(c_0_469,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_457]),c_0_54]),
    [final] ).

cnf(c_0_471,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_460]),c_0_70]),
    [final] ).

cnf(c_0_472,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_227]),c_0_54]),
    [final] ).

cnf(c_0_473,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_462]),c_0_54]),
    [final] ).

cnf(c_0_474,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_463]),c_0_117]),
    [final] ).

cnf(c_0_476,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_285]),
    [final] ).

cnf(c_0_478,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_465]),c_0_54]),
    [final] ).

cnf(c_0_481,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | product(X1,e_2,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_409]),
    [final] ).

cnf(c_0_482,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | product(X1,e_3,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_469]),
    [final] ).

cnf(c_0_485,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_471]),
    [final] ).

cnf(c_0_486,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_472]),
    [final] ).

cnf(c_0_487,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | product(X1,e_4,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_473]),
    [final] ).

cnf(c_0_488,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | equalish(X1,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_474]),
    [final] ).

cnf(c_0_491,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | product(X1,e_4,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_478]),
    [final] ).

cnf(c_0_492,negated_conjecture,
    ( ~ product(e_3,e_1,X1)
    | equalish(X1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_244]),
    [final] ).

cnf(c_0_497,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_469]),
    [final] ).

cnf(c_0_499,negated_conjecture,
    ( product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_484]),c_0_117]),
    [final] ).

cnf(c_0_500,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_485,c_0_429]),
    [final] ).

cnf(c_0_501,negated_conjecture,
    ( ~ product(X1,e_2,e_4)
    | product(X1,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_321]),
    [final] ).

cnf(c_0_502,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_473]),
    [final] ).

cnf(c_0_503,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_4,e_1,e_2)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_486,c_0_429]),
    [final] ).

cnf(c_0_504,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_487,c_0_44]),
    [final] ).

cnf(c_0_505,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_200]),c_0_54]),
    [final] ).

cnf(c_0_508,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_491,c_0_44]),
    [final] ).

cnf(c_0_509,negated_conjecture,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_120]),
    [final] ).

cnf(c_0_510,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_493]),c_0_54]),
    [final] ).

cnf(c_0_511,negated_conjecture,
    ( product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_3,e_2,e_1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_495]),c_0_91]),c_0_317]),
    [final] ).

cnf(c_0_512,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | equalish(X1,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_409]),
    [final] ).

cnf(c_0_514,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | product(X1,e_2,e_1)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_355]),
    [final] ).

cnf(c_0_515,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_4,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_498]),c_0_54]),
    [final] ).

cnf(c_0_516,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_366]),
    [final] ).

cnf(c_0_517,negated_conjecture,
    ( ~ product(X1,e_2,e_4)
    | product(X1,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_499]),
    [final] ).

cnf(c_0_518,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_500]),
    [final] ).

cnf(c_0_519,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_501,c_0_101]),
    [final] ).

cnf(c_0_521,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_504]),
    [final] ).

cnf(c_0_522,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_3)
    | product(e_4,e_1,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_505]),
    [final] ).

cnf(c_0_523,negated_conjecture,
    ( ~ product(e_3,e_1,X1)
    | equalish(X1,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_474]),
    [final] ).

cnf(c_0_527,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_508]),
    [final] ).

cnf(c_0_530,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | product(X1,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_510]),
    [final] ).

cnf(c_0_531,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | product(X1,e_3,e_1)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_511]),
    [final] ).

cnf(c_0_532,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_4,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_513]),c_0_117]),
    [final] ).

cnf(c_0_533,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_514,c_0_515]),
    [final] ).

cnf(c_0_534,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_302]),c_0_196]),
    [final] ).

cnf(c_0_536,plain,
    ( ~ product(X1,e_4,e_1)
    | equalish(X1,e_2)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_301]),
    [final] ).

cnf(c_0_537,plain,
    ( ~ product(e_4,X1,e_1)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_429]),
    [final] ).

cnf(c_0_538,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_517,c_0_101]),
    [final] ).

cnf(c_0_539,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_321]),
    [final] ).

cnf(c_0_543,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_1,e_2)
    | product(e_3,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_522,c_0_474]),
    [final] ).

cnf(c_0_544,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_500]),
    [final] ).

cnf(c_0_545,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_524]),c_0_97]),
    [final] ).

cnf(c_0_546,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | product(X1,e_3,e_1)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_390]),
    [final] ).

cnf(c_0_547,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_526]),c_0_54]),
    [final] ).

cnf(c_0_548,negated_conjecture,
    ( ~ product(X1,e_3,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_446]),
    [final] ).

cnf(c_0_551,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_510]),
    [final] ).

cnf(c_0_553,negated_conjecture,
    ( product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_4,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_531,c_0_532]),
    [final] ).

cnf(c_0_554,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_385]),
    [final] ).

cnf(c_0_555,negated_conjecture,
    ( ~ product(X1,e_2,e_4)
    | product(X1,e_4,e_1)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_533]),
    [final] ).

cnf(c_0_556,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_2,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_306,c_0_534]),
    [final] ).

cnf(c_0_561,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_499]),
    [final] ).

cnf(c_0_565,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_543]),
    [final] ).

cnf(c_0_566,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_1,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_545]),c_0_91]),
    [final] ).

cnf(c_0_567,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | product(X1,e_3,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_474]),
    [final] ).

cnf(c_0_568,negated_conjecture,
    ( product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_3,e_1)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_546,c_0_434]),
    [final] ).

cnf(c_0_569,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | product(X1,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_547]),
    [final] ).

cnf(c_0_570,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_3,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_153]),c_0_91]),
    [final] ).

cnf(c_0_571,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_478]),
    [final] ).

cnf(c_0_573,negated_conjecture,
    ( ~ product(X1,e_2,e_1)
    | equalish(X1,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_511]),
    [final] ).

cnf(c_0_576,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | product(X1,e_3,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_545]),
    [final] ).

cnf(c_0_577,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | product(X1,e_4,e_1)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_553]),
    [final] ).

cnf(c_0_578,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | equalish(X1,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_532]),
    [final] ).

cnf(c_0_580,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_554,c_0_36]),
    [final] ).

cnf(c_0_582,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_533]),c_0_97]),
    [final] ).

cnf(c_0_583,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_555,c_0_441]),
    [final] ).

cnf(c_0_584,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_556]),
    [final] ).

cnf(c_0_593,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_566]),c_0_203]),
    [final] ).

cnf(c_0_594,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_567,c_0_566]),
    [final] ).

cnf(c_0_595,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_2,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_568]),c_0_43]),
    [final] ).

cnf(c_0_596,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_547]),
    [final] ).

cnf(c_0_599,plain,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_55]),c_0_43]),
    [final] ).

cnf(c_0_600,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_570]),
    [final] ).

cnf(c_0_602,negated_conjecture,
    ( product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_574]),c_0_40]),
    [final] ).

cnf(c_0_603,plain,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_301]),c_0_97]),
    [final] ).

cnf(c_0_604,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_337]),c_0_43]),
    [final] ).

cnf(c_0_606,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_545]),
    [final] ).

cnf(c_0_610,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_580]),
    [final] ).

cnf(c_0_611,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_581]),c_0_117]),
    [final] ).

cnf(c_0_612,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_302]),
    [final] ).

cnf(c_0_615,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_515]),
    [final] ).

cnf(c_0_622,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_499]),
    [final] ).

cnf(c_0_624,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_591]),c_0_54]),
    [final] ).

cnf(c_0_626,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_593]),c_0_66]),
    [final] ).

cnf(c_0_627,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_3,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_594]),c_0_66]),
    [final] ).

cnf(c_0_628,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_595]),c_0_66]),
    [final] ).

cnf(c_0_629,negated_conjecture,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_597]),c_0_40]),
    [final] ).

cnf(c_0_630,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_598]),c_0_117]),
    [final] ).

cnf(c_0_631,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_599]),c_0_66]),
    [final] ).

cnf(c_0_632,plain,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_87]),c_0_97]),
    [final] ).

cnf(c_0_633,plain,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_36]),c_0_43]),
    [final] ).

cnf(c_0_634,negated_conjecture,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_600,c_0_478]),c_0_66]),
    [final] ).

cnf(c_0_635,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_601]),c_0_54]),
    [final] ).

cnf(c_0_636,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | product(X1,e_3,e_2)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_602]),
    [final] ).

cnf(c_0_637,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_603]),c_0_66]),
    [final] ).

cnf(c_0_638,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_604]),c_0_66]),
    [final] ).

cnf(c_0_639,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_4,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_605]),c_0_54]),
    [final] ).

cnf(c_0_640,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_607]),c_0_40]),
    [final] ).

cnf(c_0_641,negated_conjecture,
    ( product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_608]),c_0_94]),
    [final] ).

cnf(c_0_642,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_609]),c_0_94]),
    [final] ).

cnf(c_0_643,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_610,c_0_36]),
    [final] ).

cnf(c_0_644,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_611]),c_0_66]),
    [final] ).

cnf(c_0_645,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_3,e_1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_124,c_0_337]),
    [final] ).

cnf(c_0_646,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_613]),c_0_94]),
    [final] ).

cnf(c_0_647,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_614]),c_0_94]),
    [final] ).

cnf(c_0_648,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | product(X1,e_3,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_441]),
    [final] ).

cnf(c_0_649,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_3)
    | product(e_1,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_615,c_0_616]),c_0_70]),
    [final] ).

cnf(c_0_650,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_515]),c_0_66]),
    [final] ).

cnf(c_0_651,negated_conjecture,
    ( ~ product(X1,e_2,e_1)
    | product(X1,e_1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_311]),
    [final] ).

cnf(c_0_652,negated_conjecture,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_267]),c_0_91]),
    [final] ).

cnf(c_0_657,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_623]),c_0_94]),
    [final] ).

cnf(c_0_659,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_408]),
    [final] ).

cnf(c_0_660,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_3)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_286]),
    [final] ).

cnf(c_0_661,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_625]),c_0_54]),
    [final] ).

cnf(c_0_666,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_629]),
    [final] ).

cnf(c_0_667,negated_conjecture,
    ( product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_3,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_546,c_0_630]),
    [final] ).

cnf(c_0_668,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_631]),
    [final] ).

cnf(c_0_669,plain,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_4)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_599]),
    [final] ).

cnf(c_0_670,negated_conjecture,
    ( ~ product(X1,e_2,e_4)
    | product(X1,e_4,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_434]),
    [final] ).

cnf(c_0_671,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_500]),
    [final] ).

cnf(c_0_672,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_245]),
    [final] ).

cnf(c_0_673,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_632]),c_0_66]),
    [final] ).

cnf(c_0_674,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_385]),
    [final] ).

cnf(c_0_675,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_633]),c_0_66]),
    [final] ).

cnf(c_0_676,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_634]),
    [final] ).

cnf(c_0_677,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_635]),c_0_66]),
    [final] ).

cnf(c_0_678,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_602]),
    [final] ).

cnf(c_0_680,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_472]),
    [final] ).

cnf(c_0_681,negated_conjecture,
    ( ~ product(X1,e_2,e_4)
    | product(X1,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_532]),
    [final] ).

cnf(c_0_682,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_638]),
    [final] ).

cnf(c_0_683,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | product(X1,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_639]),
    [final] ).

cnf(c_0_684,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_640]),
    [final] ).

cnf(c_0_685,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_641]),
    [final] ).

cnf(c_0_688,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | equalish(X1,e_4)
    | product(e_4,e_1,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_505]),
    [final] ).

cnf(c_0_689,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | equalish(X1,e_4)
    | product(e_4,e_1,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_643]),
    [final] ).

cnf(c_0_690,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | product(X1,e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_428]),
    [final] ).

cnf(c_0_693,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_408]),
    [final] ).

cnf(c_0_694,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_645]),
    [final] ).

cnf(c_0_695,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_211]),
    [final] ).

cnf(c_0_696,negated_conjecture,
    ( ~ product(X1,e_2,e_4)
    | product(X1,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_630]),
    [final] ).

cnf(c_0_697,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_211]),
    [final] ).

cnf(c_0_698,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | product(X1,e_4,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_322]),
    [final] ).

cnf(c_0_699,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_2,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_306,c_0_646]),
    [final] ).

cnf(c_0_700,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_2,e_3)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_306,c_0_647]),
    [final] ).

cnf(c_0_701,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | product(X1,e_4,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_515]),
    [final] ).

cnf(c_0_702,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_3,e_4)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_648,c_0_649]),
    [final] ).

cnf(c_0_703,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_3,e_4)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_648,c_0_650]),
    [final] ).

cnf(c_0_704,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_3,e_4)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_648,c_0_311]),
    [final] ).

cnf(c_0_706,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_434]),
    [final] ).

cnf(c_0_707,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_323,c_0_652]),
    [final] ).

cnf(c_0_708,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_211]),
    [final] ).

cnf(c_0_713,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_657]),c_0_66]),
    [final] ).

cnf(c_0_714,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_624]),c_0_66]),
    [final] ).

cnf(c_0_715,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_658]),c_0_54]),
    [final] ).

cnf(c_0_716,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_2,e_2)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_245]),c_0_97]),c_0_660]),
    [final] ).

cnf(c_0_717,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_661]),c_0_66]),
    [final] ).

cnf(c_0_718,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_661]),c_0_66]),
    [final] ).

cnf(c_0_719,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_4,e_3)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_662]),c_0_40]),
    [final] ).

cnf(c_0_720,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_3,e_4)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_663]),c_0_40]),
    [final] ).

cnf(c_0_721,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_664]),c_0_40]),
    [final] ).

cnf(c_0_722,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_665]),c_0_40]),
    [final] ).

cnf(c_0_723,negated_conjecture,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_666,c_0_667]),
    [final] ).

cnf(c_0_724,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_668,c_0_55]),
    [final] ).

cnf(c_0_725,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_3,e_1,e_4)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_634]),c_0_97]),
    [final] ).

cnf(c_0_726,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_669,c_0_200]),c_0_70]),
    [final] ).

cnf(c_0_727,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_670,c_0_101]),
    [final] ).

cnf(c_0_728,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_1,e_3)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_671,c_0_570]),c_0_43]),
    [final] ).

cnf(c_0_729,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_1,e_2,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_673]),c_0_117]),
    [final] ).

cnf(c_0_730,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_674,c_0_675]),c_0_54]),
    [final] ).

cnf(c_0_731,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_1,e_3,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_407,c_0_631]),
    [final] ).

cnf(c_0_732,negated_conjecture,
    ( product(e_1,e_2,e_2)
    | product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_676,c_0_677]),c_0_117]),
    [final] ).

cnf(c_0_733,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_635]),c_0_66]),
    [final] ).

cnf(c_0_734,negated_conjecture,
    ( product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_679]),c_0_40]),
    [final] ).

cnf(c_0_735,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_602]),c_0_91]),
    [final] ).

cnf(c_0_736,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_681,c_0_101]),
    [final] ).

cnf(c_0_737,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_682,c_0_337]),
    [final] ).

cnf(c_0_738,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_683,c_0_44]),
    [final] ).

cnf(c_0_739,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_538]),c_0_54]),
    [final] ).

cnf(c_0_740,negated_conjecture,
    ( product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_340,c_0_638]),
    [final] ).

cnf(c_0_741,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_684,c_0_568]),
    [final] ).

cnf(c_0_742,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_519]),c_0_54]),
    [final] ).

cnf(c_0_743,negated_conjecture,
    ( product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_685,c_0_553]),
    [final] ).

cnf(c_0_744,negated_conjecture,
    ( product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_1,e_4)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_686]),c_0_40]),
    [final] ).

cnf(c_0_745,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_641]),c_0_40]),
    [final] ).

cnf(c_0_746,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_687]),c_0_117]),
    [final] ).

cnf(c_0_747,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_280]),c_0_97]),
    [final] ).

cnf(c_0_748,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_689,c_0_280]),c_0_97]),
    [final] ).

cnf(c_0_749,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_545]),c_0_91]),
    [final] ).

cnf(c_0_750,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_689,c_0_244]),c_0_43]),
    [final] ).

cnf(c_0_751,negated_conjecture,
    ( product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_690,c_0_44]),
    [final] ).

cnf(c_0_752,negated_conjecture,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_691]),c_0_40]),
    [final] ).

cnf(c_0_753,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_692]),c_0_117]),
    [final] ).

cnf(c_0_754,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_3,e_1,e_4)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_693,c_0_55]),
    [final] ).

cnf(c_0_755,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_3,e_1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_694,c_0_337]),
    [final] ).

cnf(c_0_756,negated_conjecture,
    ( product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_340,c_0_645]),
    [final] ).

cnf(c_0_757,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_640]),c_0_40]),
    [final] ).

cnf(c_0_758,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_4,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_695,c_0_499]),c_0_196]),
    [final] ).

cnf(c_0_759,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_547]),c_0_91]),
    [final] ).

cnf(c_0_760,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_696,c_0_101]),
    [final] ).

cnf(c_0_761,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_697,c_0_280]),c_0_97]),
    [final] ).

cnf(c_0_762,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_698,c_0_44]),
    [final] ).

cnf(c_0_763,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_3,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_648,c_0_699]),
    [final] ).

cnf(c_0_764,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_3,e_4)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_648,c_0_700]),
    [final] ).

cnf(c_0_765,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_701,c_0_702]),
    [final] ).

cnf(c_0_766,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_701,c_0_703]),
    [final] ).

cnf(c_0_767,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_701,c_0_704]),
    [final] ).

cnf(c_0_768,negated_conjecture,
    ( product(e_4,e_1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_705]),c_0_94]),
    [final] ).

cnf(c_0_769,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_706,c_0_505]),c_0_94]),
    [final] ).

cnf(c_0_770,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_567,c_0_505]),
    [final] ).

cnf(c_0_771,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_629]),c_0_40]),
    [final] ).

cnf(c_0_772,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_310,c_0_55]),
    [final] ).

cnf(c_0_773,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_698,c_0_707]),
    [final] ).

cnf(c_0_774,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_407,c_0_227]),
    [final] ).

cnf(c_0_775,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_708,c_0_205]),
    [final] ).

cnf(c_0_780,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_4,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_626]),
    [final] ).

cnf(c_0_781,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_627]),
    [final] ).

cnf(c_0_782,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_628]),
    [final] ).

cnf(c_0_783,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_713]),
    [final] ).

cnf(c_0_784,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_4,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_713]),
    [final] ).

cnf(c_0_785,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_713]),
    [final] ).

cnf(c_0_786,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_4,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_713]),
    [final] ).

cnf(c_0_787,negated_conjecture,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_657]),
    [final] ).

cnf(c_0_788,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_657]),
    [final] ).

cnf(c_0_789,negated_conjecture,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_657]),
    [final] ).

cnf(c_0_790,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_714]),
    [final] ).

cnf(c_0_791,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_714]),
    [final] ).

cnf(c_0_792,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_714]),
    [final] ).

cnf(c_0_793,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_714]),
    [final] ).

cnf(c_0_794,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_715]),
    [final] ).

cnf(c_0_795,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_715]),
    [final] ).

cnf(c_0_796,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_715]),
    [final] ).

cnf(c_0_797,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_715]),
    [final] ).

cnf(c_0_798,negated_conjecture,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_624]),
    [final] ).

cnf(c_0_799,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_624]),
    [final] ).

cnf(c_0_800,negated_conjecture,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_624]),
    [final] ).

cnf(c_0_801,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_1,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_716]),
    [final] ).

cnf(c_0_802,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_4,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_626]),
    [final] ).

cnf(c_0_803,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_4,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_626]),
    [final] ).

cnf(c_0_804,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_4,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_626]),
    [final] ).

cnf(c_0_805,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_627]),
    [final] ).

cnf(c_0_806,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_627]),
    [final] ).

cnf(c_0_807,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_627]),
    [final] ).

cnf(c_0_808,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_628]),
    [final] ).

cnf(c_0_809,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_628]),
    [final] ).

cnf(c_0_810,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_628]),
    [final] ).

cnf(c_0_811,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_717]),
    [final] ).

cnf(c_0_812,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_718]),
    [final] ).

cnf(c_0_813,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | equalish(X1,e_4)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_717]),
    [final] ).

cnf(c_0_814,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_717]),
    [final] ).

cnf(c_0_815,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_717]),
    [final] ).

cnf(c_0_816,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_718]),
    [final] ).

cnf(c_0_817,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_718]),
    [final] ).

cnf(c_0_818,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_718]),
    [final] ).

cnf(c_0_819,negated_conjecture,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_661]),
    [final] ).

cnf(c_0_820,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_661]),
    [final] ).

cnf(c_0_821,negated_conjecture,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_661]),
    [final] ).

cnf(c_0_822,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_1,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_716]),
    [final] ).

cnf(c_0_823,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_1,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_716]),
    [final] ).

cnf(c_0_824,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_1,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_716]),
    [final] ).

cnf(c_0_825,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_4,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_719]),
    [final] ).

cnf(c_0_826,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_720]),
    [final] ).

cnf(c_0_827,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_721]),
    [final] ).

cnf(c_0_828,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_4,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_719]),
    [final] ).

cnf(c_0_829,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_3,e_4,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_719]),
    [final] ).

cnf(c_0_830,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_3,e_4,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_719]),
    [final] ).

cnf(c_0_831,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_720]),
    [final] ).

cnf(c_0_832,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_720]),
    [final] ).

cnf(c_0_833,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_720]),
    [final] ).

cnf(c_0_834,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_721]),
    [final] ).

cnf(c_0_835,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_721]),
    [final] ).

cnf(c_0_836,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_721]),
    [final] ).

cnf(c_0_837,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_722]),
    [final] ).

cnf(c_0_838,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_723]),
    [final] ).

cnf(c_0_839,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_724]),
    [final] ).

cnf(c_0_840,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_725]),
    [final] ).

cnf(c_0_841,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_566]),
    [final] ).

cnf(c_0_842,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_3)
    | product(e_4,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_726]),
    [final] ).

cnf(c_0_843,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_727]),
    [final] ).

cnf(c_0_844,negated_conjecture,
    ( ~ product(X1,e_2,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_3,e_3,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_728]),
    [final] ).

cnf(c_0_845,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_2,e_2)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_729]),
    [final] ).

cnf(c_0_846,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_730]),
    [final] ).

cnf(c_0_847,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_731]),
    [final] ).

cnf(c_0_848,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_732]),
    [final] ).

cnf(c_0_849,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_3)
    | product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_733]),
    [final] ).

cnf(c_0_850,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_677]),
    [final] ).

cnf(c_0_851,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_732]),
    [final] ).

cnf(c_0_852,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_732]),
    [final] ).

cnf(c_0_853,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_732]),
    [final] ).

cnf(c_0_854,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | equalish(X1,e_4)
    | product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_733]),
    [final] ).

cnf(c_0_855,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_3)
    | product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_733]),
    [final] ).

cnf(c_0_856,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_733]),
    [final] ).

cnf(c_0_857,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_677]),
    [final] ).

cnf(c_0_858,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_677]),
    [final] ).

cnf(c_0_859,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_677]),
    [final] ).

cnf(c_0_860,negated_conjecture,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_635]),
    [final] ).

cnf(c_0_861,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_635]),
    [final] ).

cnf(c_0_862,negated_conjecture,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_635]),
    [final] ).

cnf(c_0_863,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_722]),
    [final] ).

cnf(c_0_864,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_722]),
    [final] ).

cnf(c_0_865,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_722]),
    [final] ).

cnf(c_0_866,negated_conjecture,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_593]),
    [final] ).

cnf(c_0_867,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_593]),
    [final] ).

cnf(c_0_868,negated_conjecture,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_593]),
    [final] ).

cnf(c_0_869,negated_conjecture,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_3,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_594]),
    [final] ).

cnf(c_0_870,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_3,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_594]),
    [final] ).

cnf(c_0_871,negated_conjecture,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_3,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_594]),
    [final] ).

cnf(c_0_872,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_723]),
    [final] ).

cnf(c_0_873,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_723]),
    [final] ).

cnf(c_0_874,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_723]),
    [final] ).

cnf(c_0_875,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_724]),
    [final] ).

cnf(c_0_876,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_724]),
    [final] ).

cnf(c_0_877,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_724]),
    [final] ).

cnf(c_0_878,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_725]),
    [final] ).

cnf(c_0_879,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_725]),
    [final] ).

cnf(c_0_880,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_1,e_2,e_2)
    | product(e_3,e_3,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_725]),
    [final] ).

cnf(c_0_881,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | equalish(X1,e_4)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_566]),
    [final] ).

cnf(c_0_882,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_566]),
    [final] ).

cnf(c_0_883,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_1)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_566]),
    [final] ).

cnf(c_0_884,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | equalish(X1,e_4)
    | product(e_4,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_726]),
    [final] ).

cnf(c_0_885,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_726]),
    [final] ).

cnf(c_0_886,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_726]),
    [final] ).

cnf(c_0_887,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_727]),
    [final] ).

cnf(c_0_888,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_727]),
    [final] ).

cnf(c_0_889,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_727]),
    [final] ).

cnf(c_0_890,negated_conjecture,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_595]),
    [final] ).

cnf(c_0_891,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_595]),
    [final] ).

cnf(c_0_892,negated_conjecture,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_595]),
    [final] ).

cnf(c_0_893,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_3,e_3,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_728]),
    [final] ).

cnf(c_0_894,negated_conjecture,
    ( ~ product(e_1,e_2,X1)
    | equalish(X1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_3,e_3,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_728]),
    [final] ).

cnf(c_0_895,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_3,e_3,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_728]),
    [final] ).

cnf(c_0_896,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_2,e_2)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_729]),
    [final] ).

cnf(c_0_897,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_2,e_2)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_729]),
    [final] ).

cnf(c_0_898,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_2,e_2)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_729]),
    [final] ).

cnf(c_0_899,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_730]),
    [final] ).

cnf(c_0_900,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_730]),
    [final] ).

cnf(c_0_901,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_730]),
    [final] ).

cnf(c_0_902,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_731]),
    [final] ).

cnf(c_0_903,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_731]),
    [final] ).

cnf(c_0_904,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_731]),
    [final] ).

cnf(c_0_905,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_734]),
    [final] ).

cnf(c_0_906,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_735]),
    [final] ).

cnf(c_0_907,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_736]),
    [final] ).

cnf(c_0_908,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_734]),
    [final] ).

cnf(c_0_909,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_734]),
    [final] ).

cnf(c_0_910,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_734]),
    [final] ).

cnf(c_0_911,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_737]),
    [final] ).

cnf(c_0_912,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_738]),
    [final] ).

cnf(c_0_913,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_739]),
    [final] ).

cnf(c_0_914,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_740]),
    [final] ).

cnf(c_0_915,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_1,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_741]),
    [final] ).

cnf(c_0_916,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_742]),
    [final] ).

cnf(c_0_917,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_538]),
    [final] ).

cnf(c_0_918,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_735]),
    [final] ).

cnf(c_0_919,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_735]),
    [final] ).

cnf(c_0_920,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_735]),
    [final] ).

cnf(c_0_921,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_736]),
    [final] ).

cnf(c_0_922,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_736]),
    [final] ).

cnf(c_0_923,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_736]),
    [final] ).

cnf(c_0_924,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_743]),
    [final] ).

cnf(c_0_925,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_2,e_1,e_4)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_744]),
    [final] ).

cnf(c_0_926,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_745]),
    [final] ).

cnf(c_0_927,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_743]),
    [final] ).

cnf(c_0_928,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_743]),
    [final] ).

cnf(c_0_929,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_4,e_1,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_743]),
    [final] ).

cnf(c_0_930,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_4)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_744]),
    [final] ).

cnf(c_0_931,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_2,e_1,e_4)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_744]),
    [final] ).

cnf(c_0_932,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_744]),
    [final] ).

cnf(c_0_933,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_745]),
    [final] ).

cnf(c_0_934,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_745]),
    [final] ).

cnf(c_0_935,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_745]),
    [final] ).

cnf(c_0_936,negated_conjecture,
    ( ~ product(X1,e_3,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_641]),
    [final] ).

cnf(c_0_937,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_641]),
    [final] ).

cnf(c_0_938,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_641]),
    [final] ).

cnf(c_0_939,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_746]),
    [final] ).

cnf(c_0_940,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_746]),
    [final] ).

cnf(c_0_941,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_746]),
    [final] ).

cnf(c_0_942,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_746]),
    [final] ).

cnf(c_0_943,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | product(X1,e_3,e_4)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_642]),
    [final] ).

cnf(c_0_944,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | equalish(X1,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_642]),
    [final] ).

cnf(c_0_945,negated_conjecture,
    ( ~ product(e_3,e_1,X1)
    | equalish(X1,e_4)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_642]),
    [final] ).

cnf(c_0_946,negated_conjecture,
    ( ~ product(e_3,X1,e_4)
    | equalish(X1,e_1)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_642]),
    [final] ).

cnf(c_0_947,negated_conjecture,
    ( ~ product(e_3,e_4,X1)
    | equalish(X1,e_2)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_602]),
    [final] ).

cnf(c_0_948,negated_conjecture,
    ( ~ product(e_3,X1,e_2)
    | equalish(X1,e_4)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_602]),
    [final] ).

cnf(c_0_949,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | equalish(X1,e_4)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_553]),
    [final] ).

cnf(c_0_950,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | equalish(X1,e_1)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_553]),
    [final] ).

cnf(c_0_951,negated_conjecture,
    ( ~ product(e_4,X1,e_1)
    | equalish(X1,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_553]),
    [final] ).

cnf(c_0_952,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | equalish(X1,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_532]),
    [final] ).

cnf(c_0_953,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_532]),
    [final] ).

cnf(c_0_954,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | equalish(X1,e_1)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_511]),
    [final] ).

cnf(c_0_955,negated_conjecture,
    ( ~ product(e_3,X1,e_1)
    | equalish(X1,e_2)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_511]),
    [final] ).

cnf(c_0_956,negated_conjecture,
    ( ~ product(e_2,e_1,X1)
    | equalish(X1,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_409]),
    [final] ).

cnf(c_0_957,negated_conjecture,
    ( ~ product(e_2,X1,e_3)
    | equalish(X1,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_409]),
    [final] ).

cnf(c_0_958,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_644]),
    [final] ).

cnf(c_0_959,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_737]),
    [final] ).

cnf(c_0_960,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_737]),
    [final] ).

cnf(c_0_961,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_737]),
    [final] ).

cnf(c_0_962,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_519]),
    [final] ).

cnf(c_0_963,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | product(X1,e_4,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_667]),
    [final] ).

cnf(c_0_964,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_747]),
    [final] ).

cnf(c_0_965,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_748]),
    [final] ).

cnf(c_0_966,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_749]),
    [final] ).

cnf(c_0_967,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_750]),
    [final] ).

cnf(c_0_968,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_751]),
    [final] ).

cnf(c_0_969,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_738]),
    [final] ).

cnf(c_0_970,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_738]),
    [final] ).

cnf(c_0_971,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_738]),
    [final] ).

cnf(c_0_972,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_639]),
    [final] ).

cnf(c_0_973,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | equalish(X1,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_639]),
    [final] ).

cnf(c_0_974,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_639]),
    [final] ).

cnf(c_0_975,negated_conjecture,
    ( ~ product(e_3,e_1,X1)
    | equalish(X1,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_510]),
    [final] ).

cnf(c_0_976,negated_conjecture,
    ( ~ product(e_3,X1,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_510]),
    [final] ).

cnf(c_0_977,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_739]),
    [final] ).

cnf(c_0_978,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_4,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_739]),
    [final] ).

cnf(c_0_979,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_739]),
    [final] ).

cnf(c_0_980,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_740]),
    [final] ).

cnf(c_0_981,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_740]),
    [final] ).

cnf(c_0_982,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_740]),
    [final] ).

cnf(c_0_983,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_1,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_741]),
    [final] ).

cnf(c_0_984,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_1,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_741]),
    [final] ).

cnf(c_0_985,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_1,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_741]),
    [final] ).

cnf(c_0_986,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_742]),
    [final] ).

cnf(c_0_987,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_4,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_742]),
    [final] ).

cnf(c_0_988,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_742]),
    [final] ).

cnf(c_0_989,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_538]),
    [final] ).

cnf(c_0_990,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_538]),
    [final] ).

cnf(c_0_991,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_538]),
    [final] ).

cnf(c_0_992,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_644]),
    [final] ).

cnf(c_0_993,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_644]),
    [final] ).

cnf(c_0_994,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_644]),
    [final] ).

cnf(c_0_995,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_638]),
    [final] ).

cnf(c_0_996,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_638]),
    [final] ).

cnf(c_0_997,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_638]),
    [final] ).

cnf(c_0_998,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_519]),
    [final] ).

cnf(c_0_999,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_519]),
    [final] ).

cnf(c_0_1000,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_519]),
    [final] ).

cnf(c_0_1001,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_667]),
    [final] ).

cnf(c_0_1002,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_667]),
    [final] ).

cnf(c_0_1003,negated_conjecture,
    ( ~ product(e_4,X1,e_1)
    | equalish(X1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_667]),
    [final] ).

cnf(c_0_1004,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_747]),
    [final] ).

cnf(c_0_1005,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_747]),
    [final] ).

cnf(c_0_1006,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_747]),
    [final] ).

cnf(c_0_1007,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_748]),
    [final] ).

cnf(c_0_1008,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_748]),
    [final] ).

cnf(c_0_1009,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_748]),
    [final] ).

cnf(c_0_1010,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_749]),
    [final] ).

cnf(c_0_1011,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_749]),
    [final] ).

cnf(c_0_1012,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_749]),
    [final] ).

cnf(c_0_1013,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_750]),
    [final] ).

cnf(c_0_1014,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_750]),
    [final] ).

cnf(c_0_1015,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_750]),
    [final] ).

cnf(c_0_1016,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_751]),
    [final] ).

cnf(c_0_1017,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_751]),
    [final] ).

cnf(c_0_1018,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_751]),
    [final] ).

cnf(c_0_1019,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_752]),
    [final] ).

cnf(c_0_1020,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_753]),
    [final] ).

cnf(c_0_1021,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_752]),
    [final] ).

cnf(c_0_1022,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_752]),
    [final] ).

cnf(c_0_1023,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_752]),
    [final] ).

cnf(c_0_1024,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_754]),
    [final] ).

cnf(c_0_1025,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_755]),
    [final] ).

cnf(c_0_1026,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_753]),
    [final] ).

cnf(c_0_1027,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_753]),
    [final] ).

cnf(c_0_1028,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_753]),
    [final] ).

cnf(c_0_1029,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_1,e_4)
    | product(e_1,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_756]),
    [final] ).

cnf(c_0_1030,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_755]),
    [final] ).

cnf(c_0_1031,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_755]),
    [final] ).

cnf(c_0_1032,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_755]),
    [final] ).

cnf(c_0_1033,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_757]),
    [final] ).

cnf(c_0_1034,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_758]),
    [final] ).

cnf(c_0_1035,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_4,e_2,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_758]),
    [final] ).

cnf(c_0_1036,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_4,e_2,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_758]),
    [final] ).

cnf(c_0_1037,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_2,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_758]),
    [final] ).

cnf(c_0_1038,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | equalish(X1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_499]),
    [final] ).

cnf(c_0_1039,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_543]),
    [final] ).

cnf(c_0_1040,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_759]),
    [final] ).

cnf(c_0_1041,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_760]),
    [final] ).

cnf(c_0_1042,negated_conjecture,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_611]),
    [final] ).

cnf(c_0_1043,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_611]),
    [final] ).

cnf(c_0_1044,negated_conjecture,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_611]),
    [final] ).

cnf(c_0_1045,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_761]),
    [final] ).

cnf(c_0_1046,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_762]),
    [final] ).

cnf(c_0_1047,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_756]),
    [final] ).

cnf(c_0_1048,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_3,e_1,e_4)
    | product(e_1,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_756]),
    [final] ).

cnf(c_0_1049,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_4)
    | product(e_1,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_756]),
    [final] ).

cnf(c_0_1050,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_645]),
    [final] ).

cnf(c_0_1051,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_645]),
    [final] ).

cnf(c_0_1052,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_645]),
    [final] ).

cnf(c_0_1053,negated_conjecture,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_604]),
    [final] ).

cnf(c_0_1054,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_604]),
    [final] ).

cnf(c_0_1055,negated_conjecture,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_604]),
    [final] ).

cnf(c_0_1056,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_763]),
    [final] ).

cnf(c_0_1057,negated_conjecture,
    ( ~ product(X1,e_2,e_1)
    | product(X1,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_699]),
    [final] ).

cnf(c_0_1058,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_646]),
    [final] ).

cnf(c_0_1059,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_763]),
    [final] ).

cnf(c_0_1060,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_763]),
    [final] ).

cnf(c_0_1061,negated_conjecture,
    ( ~ product(e_1,X1,e_4)
    | equalish(X1,e_3)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_763]),
    [final] ).

cnf(c_0_1062,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_699]),
    [final] ).

cnf(c_0_1063,negated_conjecture,
    ( ~ product(e_1,e_2,X1)
    | equalish(X1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_699]),
    [final] ).

cnf(c_0_1064,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_699]),
    [final] ).

cnf(c_0_1065,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_646]),
    [final] ).

cnf(c_0_1066,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_646]),
    [final] ).

cnf(c_0_1067,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_646]),
    [final] ).

cnf(c_0_1068,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_637]),
    [final] ).

cnf(c_0_1069,negated_conjecture,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_4)
    | product(e_2,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_582]),
    [final] ).

cnf(c_0_1070,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_4)
    | product(e_2,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_582]),
    [final] ).

cnf(c_0_1071,negated_conjecture,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_4)
    | product(e_2,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_582]),
    [final] ).

cnf(c_0_1072,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_637]),
    [final] ).

cnf(c_0_1073,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_4)
    | product(e_3,e_1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_764]),
    [final] ).

cnf(c_0_1074,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_637]),
    [final] ).

cnf(c_0_1075,negated_conjecture,
    ( ~ product(X1,e_2,e_1)
    | product(X1,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_700]),
    [final] ).

cnf(c_0_1076,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_647]),
    [final] ).

cnf(c_0_1077,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_637]),
    [final] ).

cnf(c_0_1078,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_765]),
    [final] ).

cnf(c_0_1079,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_3,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_766]),
    [final] ).

cnf(c_0_1080,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_702]),
    [final] ).

cnf(c_0_1081,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_4)
    | product(e_3,e_3,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_703]),
    [final] ).

cnf(c_0_1082,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_767]),
    [final] ).

cnf(c_0_1083,negated_conjecture,
    ( ~ product(X1,e_2,e_1)
    | product(X1,e_1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_649]),
    [final] ).

cnf(c_0_1084,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | equalish(X1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_764]),
    [final] ).

cnf(c_0_1085,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_764]),
    [final] ).

cnf(c_0_1086,negated_conjecture,
    ( ~ product(e_1,X1,e_4)
    | equalish(X1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_764]),
    [final] ).

cnf(c_0_1087,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | equalish(X1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_700]),
    [final] ).

cnf(c_0_1088,negated_conjecture,
    ( ~ product(e_1,e_2,X1)
    | equalish(X1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_700]),
    [final] ).

cnf(c_0_1089,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_2)
    | product(e_3,e_1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_700]),
    [final] ).

cnf(c_0_1090,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_647]),
    [final] ).

cnf(c_0_1091,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_3,e_1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_647]),
    [final] ).

cnf(c_0_1092,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_647]),
    [final] ).

cnf(c_0_1093,negated_conjecture,
    ( ~ product(X1,e_2,e_1)
    | product(X1,e_1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_650]),
    [final] ).

cnf(c_0_1094,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_4)
    | product(e_1,e_2,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_704]),
    [final] ).

cnf(c_0_1095,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_765]),
    [final] ).

cnf(c_0_1096,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_765]),
    [final] ).

cnf(c_0_1097,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_765]),
    [final] ).

cnf(c_0_1098,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_3,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_766]),
    [final] ).

cnf(c_0_1099,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_3,e_3,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_766]),
    [final] ).

cnf(c_0_1100,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_3,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_766]),
    [final] ).

cnf(c_0_1101,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_702]),
    [final] ).

cnf(c_0_1102,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_702]),
    [final] ).

cnf(c_0_1103,negated_conjecture,
    ( ~ product(e_1,X1,e_4)
    | equalish(X1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_702]),
    [final] ).

cnf(c_0_1104,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | equalish(X1,e_1)
    | product(e_3,e_3,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_703]),
    [final] ).

cnf(c_0_1105,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_4)
    | product(e_3,e_3,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_703]),
    [final] ).

cnf(c_0_1106,negated_conjecture,
    ( ~ product(e_1,X1,e_4)
    | equalish(X1,e_3)
    | product(e_3,e_3,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_703]),
    [final] ).

cnf(c_0_1107,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_767]),
    [final] ).

cnf(c_0_1108,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_767]),
    [final] ).

cnf(c_0_1109,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_1,e_2,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_767]),
    [final] ).

cnf(c_0_1110,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_649]),
    [final] ).

cnf(c_0_1111,negated_conjecture,
    ( ~ product(e_1,e_2,X1)
    | equalish(X1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_649]),
    [final] ).

cnf(c_0_1112,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_649]),
    [final] ).

cnf(c_0_1113,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | equalish(X1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_650]),
    [final] ).

cnf(c_0_1114,negated_conjecture,
    ( ~ product(e_1,e_2,X1)
    | equalish(X1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_650]),
    [final] ).

cnf(c_0_1115,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_650]),
    [final] ).

cnf(c_0_1116,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_704]),
    [final] ).

cnf(c_0_1117,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_4)
    | product(e_1,e_2,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_704]),
    [final] ).

cnf(c_0_1118,negated_conjecture,
    ( ~ product(e_1,X1,e_4)
    | equalish(X1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_704]),
    [final] ).

cnf(c_0_1119,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_768]),
    [final] ).

cnf(c_0_1120,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | product(X1,e_3,e_1)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_583]),
    [final] ).

cnf(c_0_1121,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | equalish(X1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_768]),
    [final] ).

cnf(c_0_1122,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_768]),
    [final] ).

cnf(c_0_1123,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_1)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_768]),
    [final] ).

cnf(c_0_1124,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | equalish(X1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_583]),
    [final] ).

cnf(c_0_1125,negated_conjecture,
    ( ~ product(e_3,e_4,X1)
    | equalish(X1,e_1)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_583]),
    [final] ).

cnf(c_0_1126,negated_conjecture,
    ( ~ product(e_3,X1,e_1)
    | equalish(X1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_583]),
    [final] ).

cnf(c_0_1127,negated_conjecture,
    ( ~ product(X1,e_2,e_1)
    | equalish(X1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_533]),
    [final] ).

cnf(c_0_1128,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | equalish(X1,e_1)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_533]),
    [final] ).

cnf(c_0_1129,negated_conjecture,
    ( ~ product(e_4,X1,e_1)
    | equalish(X1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_533]),
    [final] ).

cnf(c_0_1130,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_631]),
    [final] ).

cnf(c_0_1131,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | equalish(X1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_515]),
    [final] ).

cnf(c_0_1132,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_515]),
    [final] ).

cnf(c_0_1133,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_631]),
    [final] ).

cnf(c_0_1134,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_631]),
    [final] ).

cnf(c_0_1135,negated_conjecture,
    ( ~ product(e_3,e_1,X1)
    | equalish(X1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_469]),
    [final] ).

cnf(c_0_1136,negated_conjecture,
    ( ~ product(e_3,X1,e_2)
    | equalish(X1,e_1)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_469]),
    [final] ).

cnf(c_0_1137,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | equalish(X1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_441]),
    [final] ).

cnf(c_0_1138,negated_conjecture,
    ( ~ product(e_3,X1,e_4)
    | equalish(X1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_441]),
    [final] ).

cnf(c_0_1139,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | equalish(X1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_394]),
    [final] ).

cnf(c_0_1140,negated_conjecture,
    ( ~ product(e_2,e_1,X1)
    | equalish(X1,e_4)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_394]),
    [final] ).

cnf(c_0_1141,negated_conjecture,
    ( ~ product(e_2,X1,e_4)
    | equalish(X1,e_1)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_394]),
    [final] ).

cnf(c_0_1142,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_673]),
    [final] ).

cnf(c_0_1143,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_673]),
    [final] ).

cnf(c_0_1144,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_673]),
    [final] ).

cnf(c_0_1145,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_673]),
    [final] ).

cnf(c_0_1146,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | equalish(X1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_355]),
    [final] ).

cnf(c_0_1147,negated_conjecture,
    ( ~ product(e_2,e_3,X1)
    | equalish(X1,e_1)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_355]),
    [final] ).

cnf(c_0_1148,negated_conjecture,
    ( ~ product(e_2,X1,e_1)
    | equalish(X1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_355]),
    [final] ).

cnf(c_0_1149,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | equalish(X1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_337]),
    [final] ).

cnf(c_0_1150,negated_conjecture,
    ( ~ product(e_3,e_4,X1)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_337]),
    [final] ).

cnf(c_0_1151,negated_conjecture,
    ( ~ product(e_3,X1,e_1)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_337]),
    [final] ).

cnf(c_0_1152,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_675]),
    [final] ).

cnf(c_0_1153,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_675]),
    [final] ).

cnf(c_0_1154,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_675]),
    [final] ).

cnf(c_0_1155,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_675]),
    [final] ).

cnf(c_0_1156,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_757]),
    [final] ).

cnf(c_0_1157,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_757]),
    [final] ).

cnf(c_0_1158,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_757]),
    [final] ).

cnf(c_0_1159,negated_conjecture,
    ( ~ product(X1,e_3,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_640]),
    [final] ).

cnf(c_0_1160,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_640]),
    [final] ).

cnf(c_0_1161,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_640]),
    [final] ).

cnf(c_0_1162,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | equalish(X1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_321]),
    [final] ).

cnf(c_0_1163,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_321]),
    [final] ).

cnf(c_0_1164,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_769]),
    [final] ).

cnf(c_0_1165,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_4,e_3,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_770]),
    [final] ).

cnf(c_0_1166,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_543]),
    [final] ).

cnf(c_0_1167,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_503]),
    [final] ).

cnf(c_0_1168,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_543]),
    [final] ).

cnf(c_0_1169,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_503]),
    [final] ).

cnf(c_0_1170,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_503]),
    [final] ).

cnf(c_0_1171,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_503]),
    [final] ).

cnf(c_0_1172,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_759]),
    [final] ).

cnf(c_0_1173,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_759]),
    [final] ).

cnf(c_0_1174,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_759]),
    [final] ).

cnf(c_0_1175,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_760]),
    [final] ).

cnf(c_0_1176,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_760]),
    [final] ).

cnf(c_0_1177,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_760]),
    [final] ).

cnf(c_0_1178,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_761]),
    [final] ).

cnf(c_0_1179,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_761]),
    [final] ).

cnf(c_0_1180,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_761]),
    [final] ).

cnf(c_0_1181,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_762]),
    [final] ).

cnf(c_0_1182,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_762]),
    [final] ).

cnf(c_0_1183,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_762]),
    [final] ).

cnf(c_0_1184,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_771]),
    [final] ).

cnf(c_0_1185,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_771]),
    [final] ).

cnf(c_0_1186,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_771]),
    [final] ).

cnf(c_0_1187,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_771]),
    [final] ).

cnf(c_0_1188,negated_conjecture,
    ( ~ product(X1,e_3,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_629]),
    [final] ).

cnf(c_0_1189,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_629]),
    [final] ).

cnf(c_0_1190,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_629]),
    [final] ).

cnf(c_0_1191,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_772]),
    [final] ).

cnf(c_0_1192,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_534]),
    [final] ).

cnf(c_0_1193,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_772]),
    [final] ).

cnf(c_0_1194,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_772]),
    [final] ).

cnf(c_0_1195,negated_conjecture,
    ( ~ product(e_3,e_4,X1)
    | equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_547]),
    [final] ).

cnf(c_0_1196,negated_conjecture,
    ( ~ product(e_3,X1,e_2)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_547]),
    [final] ).

cnf(c_0_1197,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_772]),
    [final] ).

cnf(c_0_1198,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | equalish(X1,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_630]),
    [final] ).

cnf(c_0_1199,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | equalish(X1,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_630]),
    [final] ).

cnf(c_0_1200,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_630]),
    [final] ).

cnf(c_0_1201,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_28,c_0_285]),
    [final] ).

cnf(c_0_1202,negated_conjecture,
    ( ~ product(X1,e_3,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_556]),
    [final] ).

cnf(c_0_1203,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_556]),
    [final] ).

cnf(c_0_1204,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_556]),
    [final] ).

cnf(c_0_1205,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_534]),
    [final] ).

cnf(c_0_1206,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_534]),
    [final] ).

cnf(c_0_1207,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_2,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_534]),
    [final] ).

cnf(c_0_1208,negated_conjecture,
    ( ~ product(e_1,e_2,X1)
    | equalish(X1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_311]),
    [final] ).

cnf(c_0_1209,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | equalish(X1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_302]),
    [final] ).

cnf(c_0_1210,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_773]),
    [final] ).

cnf(c_0_1211,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_4)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_707]),
    [final] ).

cnf(c_0_1212,negated_conjecture,
    ( ~ product(X1,e_2,e_1)
    | product(X1,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_652]),
    [final] ).

cnf(c_0_1213,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_285]),
    [final] ).

cnf(c_0_1214,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_285]),
    [final] ).

cnf(c_0_1215,negated_conjecture,
    ( ~ product(e_2,e_1,X1)
    | equalish(X1,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_280]),
    [final] ).

cnf(c_0_1216,negated_conjecture,
    ( ~ product(e_2,X1,e_3)
    | equalish(X1,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_280]),
    [final] ).

cnf(c_0_1217,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_773]),
    [final] ).

cnf(c_0_1218,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_773]),
    [final] ).

cnf(c_0_1219,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_773]),
    [final] ).

cnf(c_0_1220,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_707]),
    [final] ).

cnf(c_0_1221,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_4)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_707]),
    [final] ).

cnf(c_0_1222,negated_conjecture,
    ( ~ product(e_1,X1,e_4)
    | equalish(X1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_707]),
    [final] ).

cnf(c_0_1223,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_652]),
    [final] ).

cnf(c_0_1224,negated_conjecture,
    ( ~ product(e_1,e_2,X1)
    | equalish(X1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_652]),
    [final] ).

cnf(c_0_1225,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_652]),
    [final] ).

cnf(c_0_1226,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_322]),
    [final] ).

cnf(c_0_1227,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_322]),
    [final] ).

cnf(c_0_1228,negated_conjecture,
    ( ~ product(e_3,e_1,X1)
    | equalish(X1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_269]),
    [final] ).

cnf(c_0_1229,negated_conjecture,
    ( ~ product(e_3,X1,e_2)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_269]),
    [final] ).

cnf(c_0_1230,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_267]),
    [final] ).

cnf(c_0_1231,negated_conjecture,
    ( ~ product(e_3,X1,e_4)
    | equalish(X1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_267]),
    [final] ).

cnf(c_0_1232,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_247]),
    [final] ).

cnf(c_0_1233,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_247]),
    [final] ).

cnf(c_0_1234,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | equalish(X1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_236]),
    [final] ).

cnf(c_0_1235,negated_conjecture,
    ( ~ product(e_2,e_1,X1)
    | equalish(X1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_236]),
    [final] ).

cnf(c_0_1236,negated_conjecture,
    ( ~ product(e_2,X1,e_4)
    | equalish(X1,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_236]),
    [final] ).

cnf(c_0_1237,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_504]),
    [final] ).

cnf(c_0_1238,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_504]),
    [final] ).

cnf(c_0_1239,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_504]),
    [final] ).

cnf(c_0_1240,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_508]),
    [final] ).

cnf(c_0_1241,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_508]),
    [final] ).

cnf(c_0_1242,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_508]),
    [final] ).

cnf(c_0_1243,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | equalish(X1,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_473]),
    [final] ).

cnf(c_0_1244,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_473]),
    [final] ).

cnf(c_0_1245,negated_conjecture,
    ( ~ product(X1,e_2,e_1)
    | product(X1,e_1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_634]),
    [final] ).

cnf(c_0_1246,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | equalish(X1,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_634]),
    [final] ).

cnf(c_0_1247,negated_conjecture,
    ( ~ product(e_1,e_2,X1)
    | equalish(X1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_634]),
    [final] ).

cnf(c_0_1248,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | equalish(X1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_478]),
    [final] ).

cnf(c_0_1249,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_478]),
    [final] ).

cnf(c_0_1250,negated_conjecture,
    ( ~ product(e_3,e_4,X1)
    | equalish(X1,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_545]),
    [final] ).

cnf(c_0_1251,negated_conjecture,
    ( ~ product(e_3,X1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_545]),
    [final] ).

cnf(c_0_1252,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_774]),
    [final] ).

cnf(c_0_1253,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_774]),
    [final] ).

cnf(c_0_1254,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_353]),
    [final] ).

cnf(c_0_1255,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_353]),
    [final] ).

cnf(c_0_1256,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_353]),
    [final] ).

cnf(c_0_1257,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_774]),
    [final] ).

cnf(c_0_1258,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_774]),
    [final] ).

cnf(c_0_1259,negated_conjecture,
    ( ~ product(e_3,e_1,X1)
    | equalish(X1,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_255]),
    [final] ).

cnf(c_0_1260,negated_conjecture,
    ( ~ product(e_3,X1,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_3,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_255]),
    [final] ).

cnf(c_0_1261,negated_conjecture,
    ( ~ product(e_3,e_1,X1)
    | equalish(X1,e_2)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_398]),
    [final] ).

cnf(c_0_1262,negated_conjecture,
    ( ~ product(e_3,X1,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_398]),
    [final] ).

cnf(c_0_1263,negated_conjecture,
    ( ~ product(e_3,X1,e_3)
    | equalish(X1,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_244]),
    [final] ).

cnf(c_0_1264,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_775]),
    [final] ).

cnf(c_0_1265,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_775]),
    [final] ).

cnf(c_0_1266,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_775]),
    [final] ).

cnf(c_0_1267,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_775]),
    [final] ).

cnf(c_0_1268,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_4,e_3,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_216]),
    [final] ).

cnf(c_0_1269,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_4,e_3,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_216]),
    [final] ).

cnf(c_0_1270,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_3,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_216]),
    [final] ).

cnf(c_0_1271,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_211]),
    [final] ).

cnf(c_0_1272,negated_conjecture,
    ( ~ product(e_3,e_1,X1)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_205]),
    [final] ).

cnf(c_0_1273,negated_conjecture,
    ( ~ product(e_3,X1,e_4)
    | equalish(X1,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_205]),
    [final] ).

cnf(c_0_1274,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_769]),
    [final] ).

cnf(c_0_1275,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_769]),
    [final] ).

cnf(c_0_1276,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_769]),
    [final] ).

cnf(c_0_1277,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | equalish(X1,e_4)
    | product(e_4,e_3,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_770]),
    [final] ).

cnf(c_0_1278,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_4,e_3,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_770]),
    [final] ).

cnf(c_0_1279,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_3,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_770]),
    [final] ).

cnf(c_0_1280,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_505]),
    [final] ).

cnf(c_0_1281,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_505]),
    [final] ).

cnf(c_0_1282,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_277]),
    [final] ).

cnf(c_0_1283,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_277]),
    [final] ).

cnf(c_0_1284,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_4)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_277]),
    [final] ).

cnf(c_0_1285,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_200]),
    [final] ).

cnf(c_0_1286,negated_conjecture,
    ( ~ product(e_3,X1,e_4)
    | equalish(X1,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_474]),
    [final] ).

cnf(c_0_1287,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_4)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_428]),
    [final] ).

cnf(c_0_1288,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_428]),
    [final] ).

cnf(c_0_1289,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_3)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_286]),
    [final] ).

cnf(c_0_1290,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_1)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_286]),
    [final] ).

cnf(c_0_1291,negated_conjecture,
    ( ~ product(e_2,e_2,X1)
    | equalish(X1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_283]),
    [final] ).

cnf(c_0_1292,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | product(X1,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_568]),
    [final] ).

cnf(c_0_1293,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | equalish(X1,e_4)
    | product(e_4,e_2,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_568]),
    [final] ).

cnf(c_0_1294,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | equalish(X1,e_1)
    | product(e_4,e_2,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_568]),
    [final] ).

cnf(c_0_1295,negated_conjecture,
    ( ~ product(e_4,X1,e_1)
    | equalish(X1,e_3)
    | product(e_4,e_2,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_568]),
    [final] ).

cnf(c_0_1296,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | equalish(X1,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_434]),
    [final] ).

cnf(c_0_1297,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | equalish(X1,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_434]),
    [final] ).

cnf(c_0_1298,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_754]),
    [final] ).

cnf(c_0_1299,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_754]),
    [final] ).

cnf(c_0_1300,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_754]),
    [final] ).

cnf(c_0_1301,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_2)
    | product(e_3,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_420]),
    [final] ).

cnf(c_0_1302,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_2)
    | product(e_3,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_420]),
    [final] ).

cnf(c_0_1303,negated_conjecture,
    ( ~ product(e_4,X1,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_420]),
    [final] ).

cnf(c_0_1304,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_399]),
    [final] ).

cnf(c_0_1305,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_3,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_399]),
    [final] ).

cnf(c_0_1306,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_3,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_399]),
    [final] ).

cnf(c_0_1307,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_2)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_570]),
    [final] ).

cnf(c_0_1308,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_134,c_0_570]),
    [final] ).

cnf(c_0_1309,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_570]),
    [final] ).

cnf(c_0_1310,negated_conjecture,
    ( ~ product(e_3,e_3,X1)
    | equalish(X1,e_3)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_153]),
    [final] ).

cnf(c_0_1311,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | equalish(X1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_421]),
    [final] ).

cnf(c_0_1312,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_3,e_1,e_4)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_421]),
    [final] ).

cnf(c_0_1313,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_3,e_1,e_4)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_421]),
    [final] ).

cnf(c_0_1314,negated_conjecture,
    ( ~ product(e_1,e_2,X1)
    | equalish(X1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_245]),
    [final] ).

cnf(c_0_1315,negated_conjecture,
    ( ~ product(X1,e_1,e_4)
    | product(X1,e_4,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_643]),
    [final] ).

cnf(c_0_1316,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | equalish(X1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_643]),
    [final] ).

cnf(c_0_1317,negated_conjecture,
    ( ~ product(e_4,X1,e_3)
    | equalish(X1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_643]),
    [final] ).

cnf(c_0_1318,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | equalish(X1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_580]),
    [final] ).

cnf(c_0_1319,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_580]),
    [final] ).

cnf(c_0_1320,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_3)
    | product(e_4,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_580]),
    [final] ).

cnf(c_0_1321,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_385]),
    [final] ).

cnf(c_0_1322,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_304]),
    [final] ).

cnf(c_0_1323,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_304]),
    [final] ).

cnf(c_0_1324,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_304]),
    [final] ).

cnf(c_0_1325,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_408]),
    [final] ).

cnf(c_0_1326,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_408]),
    [final] ).

cnf(c_0_1327,plain,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_603]),
    [final] ).

cnf(c_0_1328,plain,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_603]),
    [final] ).

cnf(c_0_1329,plain,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_4)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_603]),
    [final] ).

cnf(c_0_1330,plain,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_4)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_599]),
    [final] ).

cnf(c_0_1331,plain,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_4)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_599]),
    [final] ).

cnf(c_0_1332,plain,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_632]),
    [final] ).

cnf(c_0_1333,plain,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_4)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_632]),
    [final] ).

cnf(c_0_1334,plain,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_632]),
    [final] ).

cnf(c_0_1335,plain,
    ( ~ product(X1,e_4,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_633]),
    [final] ).

cnf(c_0_1336,plain,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_4)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_633]),
    [final] ).

cnf(c_0_1337,plain,
    ( ~ product(e_4,X1,e_4)
    | equalish(X1,e_4)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_633]),
    [final] ).

cnf(c_0_1338,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_500]),
    [final] ).

cnf(c_0_1339,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | equalish(X1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_471]),
    [final] ).

cnf(c_0_1340,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_471]),
    [final] ).

cnf(c_0_1341,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_471]),
    [final] ).

cnf(c_0_1342,negated_conjecture,
    ( ~ product(X1,e_3,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_446]),
    [final] ).

cnf(c_0_1343,negated_conjecture,
    ( ~ product(X1,e_4,e_1)
    | product(X1,e_1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_366]),
    [final] ).

cnf(c_0_1344,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_472]),
    [final] ).

cnf(c_0_1345,negated_conjecture,
    ( ~ product(e_1,X1,e_2)
    | equalish(X1,e_4)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_472]),
    [final] ).

cnf(c_0_1346,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_227]),
    [final] ).

cnf(c_0_1347,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | equalish(X1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_446]),
    [final] ).

cnf(c_0_1348,negated_conjecture,
    ( ~ product(e_1,X1,e_4)
    | equalish(X1,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_101]),
    [final] ).

cnf(c_0_1349,negated_conjecture,
    ( ~ product(e_1,X1,e_3)
    | equalish(X1,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_366]),
    [final] ).

cnf(c_0_1350,plain,
    ( ~ product(X1,e_1,e_1)
    | equalish(X1,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_162]),
    [final] ).

cnf(c_0_1351,plain,
    ( ~ product(e_1,e_1,X1)
    | equalish(X1,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_162]),
    [final] ).

cnf(c_0_1352,plain,
    ( ~ product(e_1,X1,e_1)
    | equalish(X1,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_162]),
    [final] ).

cnf(c_0_1353,plain,
    ( ~ product(X1,e_2,e_1)
    | equalish(X1,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_390]),
    [final] ).

cnf(c_0_1354,plain,
    ( ~ product(e_3,e_2,X1)
    | equalish(X1,e_1)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_390]),
    [final] ).

cnf(c_0_1355,plain,
    ( ~ product(e_3,X1,e_1)
    | equalish(X1,e_2)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_390]),
    [final] ).

cnf(c_0_1356,plain,
    ( ~ product(e_4,e_2,X1)
    | equalish(X1,e_1)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_87]),
    [final] ).

cnf(c_0_1357,plain,
    ( ~ product(e_4,X1,e_1)
    | equalish(X1,e_2)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_87]),
    [final] ).

cnf(c_0_1358,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | equalish(X1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_120]),
    [final] ).

cnf(c_0_1359,plain,
    ( ~ product(e_4,e_3,X1)
    | equalish(X1,e_1)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_36]),
    [final] ).

cnf(c_0_1360,plain,
    ( ~ product(e_2,e_4,X1)
    | equalish(X1,e_1)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_301]),
    [final] ).

cnf(c_0_1361,plain,
    ( ~ product(e_2,X1,e_1)
    | equalish(X1,e_4)
    | product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_301]),
    [final] ).

cnf(c_0_1362,plain,
    ( ~ product(e_3,e_4,X1)
    | equalish(X1,e_1)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_55]),
    [final] ).

cnf(c_0_1363,plain,
    ( ~ product(e_4,e_4,X1)
    | equalish(X1,e_1)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_429]),
    [final] ).

cnf(c_0_1364,plain,
    equalish(e_1,e_1),
    inference(spm,[status(thm)],[c_0_776,c_0_709]),
    [final] ).

cnf(c_0_1365,plain,
    equalish(e_2,e_2),
    inference(spm,[status(thm)],[c_0_777,c_0_710]),
    [final] ).

cnf(c_0_1366,plain,
    equalish(e_3,e_3),
    inference(spm,[status(thm)],[c_0_778,c_0_711]),
    [final] ).

cnf(c_0_1367,plain,
    equalish(e_4,e_4),
    inference(spm,[status(thm)],[c_0_779,c_0_712]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP128-1.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36  % Computer : n019.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Sun Sep 20 20:00:05 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41  Running first-order theorem proving
% 0.14/0.41  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.34/2.07  % Version: 3.5.1
% 9.34/2.07  % Preprocessing class: FSMSSMSSSSSNFFN.
% 9.34/2.07  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.34/2.07  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.34/2.07  % Starting new_bool_3 with 300s (1) cores
% 9.34/2.07  % Starting new_bool_1 with 300s (1) cores
% 9.34/2.07  % Starting sh5l with 300s (1) cores
% 9.34/2.07  % sh5l with pid 796649 completed with status 1
% 9.34/2.07  % Result found by sh5l
% 9.34/2.07  % Preprocessing class: FSMSSMSSSSSNFFN.
% 9.34/2.07  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.34/2.07  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.34/2.07  % Starting new_bool_3 with 300s (1) cores
% 9.34/2.07  % Starting new_bool_1 with 300s (1) cores
% 9.34/2.07  % Starting sh5l with 300s (1) cores
% 9.34/2.07  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 9.34/2.07  % SinE strategy is gf500_gu_R04_F100_L20000
% 9.34/2.07  % Search class: FGUNF-FFSS00-SFFFFFNN
% 9.34/2.07  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 9.34/2.07  % Starting SubtermCWHack with 31s (1) cores
% 9.34/2.07  % SubtermCWHack with pid 796657 completed with status 1
% 9.34/2.07  % Result found by SubtermCWHack
% 9.34/2.07  % Preprocessing class: FSMSSMSSSSSNFFN.
% 9.34/2.07  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.34/2.07  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.34/2.07  % Starting new_bool_3 with 300s (1) cores
% 9.34/2.07  % Starting new_bool_1 with 300s (1) cores
% 9.34/2.07  % Starting sh5l with 300s (1) cores
% 9.34/2.07  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 9.34/2.07  % SinE strategy is gf500_gu_R04_F100_L20000
% 9.34/2.07  % Search class: FGUNF-FFSS00-SFFFFFNN
% 9.34/2.07  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 9.34/2.07  % Starting SubtermCWHack with 31s (1) cores
% 9.34/2.07  % Preprocessing time       : 0.001 s
% 9.34/2.07  
% 9.34/2.07  % No proof found!
% 9.34/2.07  % SZS status Satisfiable
% 9.34/2.07  % SZS output start Saturation
% See solution above
% 9.34/2.07  % Parsed axioms                        : 21
% 9.34/2.07  % Removed by relevancy pruning/SinE    : 0
% 9.34/2.07  % Initial clauses                      : 21
% 9.34/2.07  % Removed in clause preprocessing      : 0
% 9.34/2.07  % Initial clauses in saturation        : 21
% 9.34/2.07  % Processed clauses                    : 10691
% 9.34/2.07  % ...of these trivial                  : 1
% 9.34/2.07  % ...subsumed                          : 8464
% 9.34/2.07  % ...remaining for further processing  : 2226
% 9.34/2.07  % Other redundant clauses eliminated   : 0
% 9.34/2.07  % Clauses deleted for lack of memory   : 0
% 9.34/2.07  % Backward-subsumed                    : 1237
% 9.34/2.07  % Backward-rewritten                   : 37
% 9.34/2.07  % Generated clauses                    : 44755
% 9.34/2.07  % ...of the previous two non-redundant : 25185
% 9.34/2.07  % ...aggressively subsumed             : 0
% 9.34/2.07  % Contextual simplify-reflections      : 13
% 9.34/2.07  % Paramodulations                      : 44755
% 9.34/2.07  % Factorizations                       : 0
% 9.34/2.07  % NegExts                              : 0
% 9.34/2.07  % Equation resolutions                 : 0
% 9.34/2.07  % Disequality decompositions           : 0
% 9.34/2.07  % Total rewrite steps                  : 19553
% 9.34/2.07  % ...of those cached                   : 19548
% 9.34/2.07  % Propositional unsat checks           : 0
% 9.34/2.07  %    Propositional check models        : 0
% 9.34/2.07  %    Propositional check unsatisfiable : 0
% 9.34/2.07  %    Propositional clauses             : 0
% 9.34/2.07  %    Propositional clauses after purity: 0
% 9.34/2.07  %    Propositional unsat core size     : 0
% 9.34/2.07  %    Propositional preprocessing time  : 0.000
% 9.34/2.07  %    Propositional encoding time       : 0.000
% 9.34/2.07  %    Propositional solver time         : 0.000
% 9.34/2.07  %    Success case prop preproc time    : 0.000
% 9.34/2.07  %    Success case prop encoding time   : 0.000
% 9.34/2.07  %    Success case prop solver time     : 0.000
% 9.34/2.07  % Current number of processed clauses  : 952
% 9.34/2.07  %    Positive orientable unit clauses  : 9
% 9.34/2.07  %    Positive unorientable unit clauses: 0
% 9.34/2.07  %    Negative unit clauses             : 12
% 9.34/2.07  %    Non-unit-clauses                  : 931
% 9.34/2.07  % Current number of unprocessed clauses: 0
% 9.34/2.07  % ...number of literals in the above   : 0
% 9.34/2.07  % Current number of archived formulas  : 0
% 9.34/2.07  % Current number of archived clauses   : 1274
% 9.34/2.07  % Clause-clause subsumption calls (NU) : 841111
% 9.34/2.07  % Rec. Clause-clause subsumption calls : 31819
% 9.34/2.07  % Non-unit clause-clause subsumptions  : 9713
% 9.34/2.07  % Unit Clause-clause subsumption calls : 239
% 9.34/2.07  % Rewrite failures with RHS unbound    : 0
% 9.34/2.07  % BW rewrite match attempts            : 7
% 9.34/2.07  % BW rewrite match successes           : 5
% 9.34/2.07  % Condensation attempts                : 0
% 9.34/2.07  % Condensation successes               : 0
% 9.34/2.07  % Termbank termtop insertions          : 1165361
% 9.34/2.07  % Search garbage collected termcells   : 48
% 9.34/2.07  
% 9.34/2.07  % -------------------------------------------------
% 9.34/2.07  % User time                : 1.329 s
% 9.34/2.07  % System time              : 0.017 s
% 9.34/2.07  % Total time               : 1.345 s
% 9.34/2.07  % Maximum resident set size: 3896 pages
% 9.34/2.07  
% 9.34/2.07  % -------------------------------------------------
% 9.34/2.07  % User time                : 1.330 s
% 9.34/2.07  % System time              : 0.023 s
% 9.34/2.07  % Total time               : 1.353 s
% 9.34/2.07  % Maximum resident set size: 4864 pages
% 9.34/2.07  % E exiting
%------------------------------------------------------------------------------