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E---3.5.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GRP123-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 12:37:56 PM UTC 2026

% Result   : Satisfiable 34.02s 4.79s
% Output   : Saturation 34.02s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_51ERROR: Could not build tree for root c_0_71ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_52,plain,
    ~ equalish(e_5,e_1),
    c_0_47,
    [final] ).

cnf(c_0_53,plain,
    ( ~ product(X4,X2,X3)
    | ~ product(X1,X2,X3)
    | equalish(X1,X4) ),
    c_0_48,
    [final] ).

cnf(c_0_54,plain,
    ( ~ greater(X2,X3)
    | ~ next(X1,X3)
    | ~ product(X1,e_1,X2) ),
    c_0_49,
    [final] ).

cnf(c_0_55,axiom,
    greater(e_5,e_3),
    e_5_greater_e_3,
    [final] ).

cnf(c_0_56,axiom,
    greater(e_4,e_3),
    e_4_greater_e_3,
    [final] ).

cnf(c_0_57,plain,
    ~ equalish(e_2,e_1),
    c_0_50,
    [final] ).

cnf(c_0_59,plain,
    ( ~ group_element(X2)
    | ~ group_element(X1)
    | product(X1,X2,e_5)
    | product(X1,X2,e_4)
    | product(X1,X2,e_3)
    | product(X1,X2,e_2)
    | product(X1,X2,e_1) ),
    c_0_51,
    [final] ).

cnf(c_0_60,axiom,
    group_element(e_1),
    element_1,
    [final] ).

cnf(c_0_61,plain,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]),
    [final] ).

cnf(c_0_62,axiom,
    product(X1,X1,X1),
    product_idempotence,
    [final] ).

cnf(c_0_66,plain,
    ( ~ next(X1,e_3)
    | ~ product(X1,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]),
    [final] ).

cnf(c_0_67,axiom,
    next(e_2,e_3),
    e_2_then_e_3,
    [final] ).

cnf(c_0_68,plain,
    ( ~ next(X1,e_3)
    | ~ product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_54,c_0_56]),
    [final] ).

cnf(c_0_69,plain,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_53]),
    [final] ).

cnf(c_0_70,plain,
    ( ~ product(X1,X4,X3)
    | ~ product(X1,X2,X3)
    | equalish(X2,X4) ),
    c_0_58,
    [final] ).

cnf(c_0_71,plain,
    ( ~ group_element(X1)
    | product(X1,e_1,e_1)
    | product(X1,e_1,e_2)
    | product(X1,e_1,e_3)
    | product(X1,e_1,e_4)
    | product(X1,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]),
    [final] ).

cnf(c_0_72,axiom,
    group_element(e_5),
    element_5,
    [final] ).

cnf(c_0_73,plain,
    ~ product(e_5,e_1,e_1),
    inference(spm,[status(thm)],[c_0_61,c_0_62]),
    [final] ).

cnf(c_0_74,axiom,
    greater(e_5,e_4),
    e_5_greater_e_4,
    [final] ).

cnf(c_0_75,plain,
    ~ equalish(e_3,e_1),
    c_0_63,
    [final] ).

cnf(c_0_76,plain,
    ~ equalish(e_5,e_3),
    c_0_64,
    [final] ).

cnf(c_0_77,plain,
    ~ equalish(e_5,e_2),
    c_0_65,
    [final] ).

cnf(c_0_78,axiom,
    group_element(e_2),
    element_2,
    [final] ).

cnf(c_0_79,plain,
    ~ product(e_2,e_1,e_5),
    inference(spm,[status(thm)],[c_0_66,c_0_67]),
    [final] ).

cnf(c_0_80,plain,
    ~ product(e_2,e_1,e_4),
    inference(spm,[status(thm)],[c_0_68,c_0_67]),
    [final] ).

cnf(c_0_81,plain,
    ~ product(e_2,e_1,e_1),
    inference(spm,[status(thm)],[c_0_69,c_0_62]),
    [final] ).

cnf(c_0_82,plain,
    ( ~ product(X1,e_5,X2)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_70]),
    [final] ).

cnf(c_0_84,plain,
    ( ~ next(X1,e_4)
    | ~ product(X1,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_54,c_0_74]),
    [final] ).

cnf(c_0_85,axiom,
    next(e_3,e_4),
    e_3_then_e_4,
    [final] ).

cnf(c_0_86,plain,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_75,c_0_53]),
    [final] ).

cnf(c_0_88,plain,
    ( ~ group_element(X1)
    | product(X1,e_5,e_1)
    | product(X1,e_5,e_2)
    | product(X1,e_5,e_3)
    | product(X1,e_5,e_4)
    | product(X1,e_5,e_5) ),
    inference(spm,[status(thm)],[c_0_59,c_0_72]),
    [final] ).

cnf(c_0_89,axiom,
    group_element(e_3),
    element_3,
    [final] ).

cnf(c_0_90,plain,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_53]),
    [final] ).

cnf(c_0_91,plain,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_77,c_0_53]),
    [final] ).

cnf(c_0_94,plain,
    ~ product(e_3,e_1,e_5),
    inference(spm,[status(thm)],[c_0_84,c_0_85]),
    [final] ).

cnf(c_0_95,plain,
    ~ product(e_3,e_1,e_1),
    inference(spm,[status(thm)],[c_0_86,c_0_62]),
    [final] ).

cnf(c_0_97,plain,
    ~ equalish(e_3,e_2),
    c_0_87,
    [final] ).

cnf(c_0_99,plain,
    ~ product(e_3,e_5,e_5),
    inference(spm,[status(thm)],[c_0_90,c_0_62]),
    [final] ).

cnf(c_0_101,plain,
    ~ product(e_2,e_5,e_5),
    inference(spm,[status(thm)],[c_0_91,c_0_62]),
    [final] ).

cnf(c_0_102,plain,
    ( ~ product(X1,e_2,X2)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_70]),
    [final] ).

cnf(c_0_107,plain,
    ~ equalish(e_5,e_4),
    c_0_96,
    [final] ).

cnf(c_0_108,plain,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_53]),
    [final] ).

cnf(c_0_111,plain,
    ~ product(e_2,e_5,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_62])]),
    [final] ).

cnf(c_0_113,plain,
    ~ equalish(e_4,e_1),
    c_0_104,
    [final] ).

cnf(c_0_116,axiom,
    group_element(e_4),
    element_4,
    [final] ).

cnf(c_0_117,plain,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_107,c_0_53]),
    [final] ).

cnf(c_0_122,plain,
    ~ equalish(e_4,e_3),
    c_0_112,
    [final] ).

cnf(c_0_123,plain,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_113,c_0_53]),
    [final] ).

cnf(c_0_125,plain,
    ~ equalish(e_4,e_2),
    c_0_115,
    [final] ).

cnf(c_0_127,plain,
    ~ product(e_4,e_5,e_5),
    inference(spm,[status(thm)],[c_0_117,c_0_62]),
    [final] ).

cnf(c_0_128,negated_conjecture,
    ( ~ product(X6,X5,X4)
    | ~ product(X6,X2,X1)
    | ~ product(X4,X5,X3)
    | ~ product(X1,X2,X3)
    | equalish(X1,X4) ),
    c_0_118,
    [final] ).

cnf(c_0_129,negated_conjecture,
    ( ~ product(X6,X5,X4)
    | ~ product(X6,X2,X1)
    | ~ product(X4,X5,X3)
    | ~ product(X1,X2,X3)
    | equalish(X2,X5) ),
    c_0_119,
    [final] ).

cnf(c_0_132,plain,
    ( ~ product(X1,e_4,X2)
    | ~ product(X1,e_3,X2) ),
    inference(spm,[status(thm)],[c_0_122,c_0_70]),
    [final] ).

cnf(c_0_133,plain,
    ~ product(e_4,e_1,e_1),
    inference(spm,[status(thm)],[c_0_123,c_0_62]),
    [final] ).

cnf(c_0_135,plain,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_122,c_0_53]),
    [final] ).

cnf(c_0_136,plain,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_125,c_0_53]),
    [final] ).

cnf(c_0_138,negated_conjecture,
    ( ~ product(e_5,X3,X4)
    | ~ product(e_4,X2,X4)
    | ~ product(X1,X3,e_5)
    | ~ product(X1,X2,e_4) ),
    inference(spm,[status(thm)],[c_0_107,c_0_128]),
    [final] ).

cnf(c_0_139,negated_conjecture,
    ( ~ product(X3,e_2,X4)
    | ~ product(X2,e_1,X4)
    | ~ product(X1,e_2,X3)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_129]),
    [final] ).

cnf(c_0_140,plain,
    ( ~ product(X1,e_3,X2)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_75,c_0_70]),
    [final] ).

cnf(c_0_142,plain,
    ( ~ group_element(X1)
    | product(X1,e_3,e_1)
    | product(X1,e_3,e_2)
    | product(X1,e_3,e_3)
    | product(X1,e_3,e_4)
    | product(X1,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_59,c_0_89]),
    [final] ).

cnf(c_0_143,plain,
    ~ product(e_4,e_3,e_4),
    inference(spm,[status(thm)],[c_0_132,c_0_62]),
    [final] ).

cnf(c_0_144,plain,
    ( ~ product(X1,e_4,X2)
    | ~ product(X1,e_2,X2) ),
    inference(spm,[status(thm)],[c_0_125,c_0_70]),
    [final] ).

cnf(c_0_146,plain,
    ~ product(e_4,e_1,e_2),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_134]),c_0_135]),c_0_136]),
    [final] ).

cnf(c_0_148,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_4,X2)
    | ~ product(e_4,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_138,c_0_62]),
    [final] ).

cnf(c_0_151,plain,
    ( ~ product(X1,e_3,X2)
    | ~ product(X1,e_2,X2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_70]),
    [final] ).

cnf(c_0_153,plain,
    ( ~ group_element(X1)
    | product(X1,e_2,e_1)
    | product(X1,e_2,e_2)
    | product(X1,e_2,e_3)
    | product(X1,e_2,e_4)
    | product(X1,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_59,c_0_78]),
    [final] ).

cnf(c_0_154,plain,
    ~ product(e_4,e_2,e_4),
    inference(spm,[status(thm)],[c_0_144,c_0_62]),
    [final] ).

cnf(c_0_155,negated_conjecture,
    ( ~ product(X3,e_5,X4)
    | ~ product(X2,e_1,X4)
    | ~ product(X1,e_5,X3)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_129]),
    [final] ).

cnf(c_0_156,plain,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5) ),
    inference(sr,[status(thm)],[c_0_145,c_0_146]),
    [final] ).

cnf(c_0_157,plain,
    ( ~ product(X1,e_5,X2)
    | ~ product(X1,e_4,X2) ),
    inference(spm,[status(thm)],[c_0_107,c_0_70]),
    [final] ).

cnf(c_0_165,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_5,e_1,X2)
    | ~ product(e_4,e_5,X1)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]),
    [final] ).

cnf(c_0_168,plain,
    ( ~ product(X1,e_5,X2)
    | ~ product(X1,e_3,X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_70]),
    [final] ).

cnf(c_0_172,plain,
    ( ~ product(e_4,e_2,e_5)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_102,c_0_156]),
    [final] ).

cnf(c_0_176,plain,
    ( ~ product(X1,e_4,X2)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_113,c_0_70]),
    [final] ).

cnf(c_0_181,plain,
    ( ~ product(X1,e_5,X2)
    | ~ product(X1,e_2,X2) ),
    inference(spm,[status(thm)],[c_0_77,c_0_70]),
    [final] ).

cnf(c_0_184,negated_conjecture,
    ( ~ product(e_4,X3,X4)
    | ~ product(e_2,X2,X4)
    | ~ product(X1,X3,e_4)
    | ~ product(X1,X2,e_2) ),
    inference(spm,[status(thm)],[c_0_125,c_0_128]),
    [final] ).

cnf(c_0_188,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_2,X2)
    | ~ product(e_2,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_184,c_0_62]),
    [final] ).

cnf(c_0_195,plain,
    ( ~ group_element(X1)
    | product(X1,e_4,e_1)
    | product(X1,e_4,e_2)
    | product(X1,e_4,e_3)
    | product(X1,e_4,e_4)
    | product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_59,c_0_116]),
    [final] ).

cnf(c_0_196,plain,
    ~ product(e_5,e_4,e_5),
    inference(spm,[status(thm)],[c_0_157,c_0_62]),
    [final] ).

cnf(c_0_197,plain,
    ~ product(e_2,e_4,e_4),
    inference(spm,[status(thm)],[c_0_136,c_0_62]),
    [final] ).

cnf(c_0_202,plain,
    ~ product(e_2,e_4,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_198]),c_0_62])]),
    [final] ).

cnf(c_0_204,negated_conjecture,
    ( ~ product(e_5,X3,X4)
    | ~ product(e_1,X2,X4)
    | ~ product(X1,X3,e_5)
    | ~ product(X1,X2,e_1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_128]),
    [final] ).

cnf(c_0_207,plain,
    ~ product(e_3,e_4,e_4),
    inference(spm,[status(thm)],[c_0_135,c_0_62]),
    [final] ).

cnf(c_0_209,negated_conjecture,
    ( ~ product(e_2,X3,X4)
    | ~ product(e_1,X2,X4)
    | ~ product(X1,X3,e_2)
    | ~ product(X1,X2,e_1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_128]),
    [final] ).

cnf(c_0_211,plain,
    ~ product(e_1,e_4,e_1),
    inference(spm,[status(thm)],[c_0_176,c_0_62]),
    [final] ).

cnf(c_0_212,negated_conjecture,
    ( ~ product(e_5,X3,X4)
    | ~ product(e_3,X2,X4)
    | ~ product(X1,X3,e_5)
    | ~ product(X1,X2,e_3) ),
    inference(spm,[status(thm)],[c_0_76,c_0_128]),
    [final] ).

cnf(c_0_215,plain,
    ~ product(e_2,e_3,e_3),
    inference(spm,[status(thm)],[c_0_108,c_0_62]),
    [final] ).

cnf(c_0_220,plain,
    ( product(e_1,e_4,e_5)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_60]),c_0_211]),
    [final] ).

cnf(c_0_221,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_3,X2)
    | ~ product(e_3,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_212,c_0_62]),
    [final] ).

cnf(c_0_233,plain,
    ~ product(e_1,e_3,e_1),
    inference(spm,[status(thm)],[c_0_140,c_0_62]),
    [final] ).

cnf(c_0_235,negated_conjecture,
    ~ product(e_2,e_3,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_226]),c_0_62])]),
    [final] ).

cnf(c_0_240,negated_conjecture,
    ( ~ product(e_4,X3,X4)
    | ~ product(e_1,X2,X4)
    | ~ product(X1,X3,e_4)
    | ~ product(X1,X2,e_1) ),
    inference(spm,[status(thm)],[c_0_113,c_0_128]),
    [final] ).

cnf(c_0_243,negated_conjecture,
    ~ product(e_2,e_3,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_236]),c_0_62])]),
    [final] ).

cnf(c_0_244,plain,
    ( ~ product(e_1,e_3,e_5)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_132,c_0_220]),
    [final] ).

cnf(c_0_247,negated_conjecture,
    ( ~ product(X3,e_4,X4)
    | ~ product(X2,e_2,X4)
    | ~ product(X1,e_4,X3)
    | ~ product(X1,e_2,X2) ),
    inference(spm,[status(thm)],[c_0_125,c_0_129]),
    [final] ).

cnf(c_0_248,plain,
    ~ product(e_1,e_2,e_1),
    inference(spm,[status(thm)],[c_0_102,c_0_62]),
    [final] ).

cnf(c_0_249,negated_conjecture,
    ( ~ product(X3,e_3,X4)
    | ~ product(X2,e_1,X4)
    | ~ product(X1,e_3,X3)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_75,c_0_129]),
    [final] ).

cnf(c_0_259,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_2,e_2,X2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_247,c_0_62]),
    [final] ).

cnf(c_0_260,plain,
    ( ~ product(e_1,e_2,e_5)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_144,c_0_220]),
    [final] ).

cnf(c_0_262,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_5,e_1,X2)
    | ~ product(e_4,e_3,X1)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_249,c_0_156]),
    [final] ).

cnf(c_0_277,negated_conjecture,
    ( ~ product(e_1,e_4,e_2)
    | product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_62]),c_0_69]),
    [final] ).

cnf(c_0_284,plain,
    ~ product(e_1,e_5,e_1),
    inference(spm,[status(thm)],[c_0_82,c_0_62]),
    [final] ).

cnf(c_0_306,negated_conjecture,
    ( ~ product(e_3,X3,X4)
    | ~ product(e_2,X2,X4)
    | ~ product(X1,X3,e_3)
    | ~ product(X1,X2,e_2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_128]),
    [final] ).

cnf(c_0_312,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_2,X2)
    | ~ product(e_2,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_306,c_0_62]),
    [final] ).

cnf(c_0_315,plain,
    ~ product(e_3,e_2,e_3),
    inference(spm,[status(thm)],[c_0_151,c_0_62]),
    [final] ).

cnf(c_0_319,negated_conjecture,
    ( ~ product(X3,e_5,X4)
    | ~ product(X2,e_2,X4)
    | ~ product(X1,e_5,X3)
    | ~ product(X1,e_2,X2) ),
    inference(spm,[status(thm)],[c_0_77,c_0_129]),
    [final] ).

cnf(c_0_325,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_2,e_2,X2)
    | ~ product(e_2,e_5,X1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_62]),
    [final] ).

cnf(c_0_339,plain,
    ( ~ product(X1,X2,X4)
    | ~ product(X1,X2,X3)
    | equalish(X3,X4) ),
    c_0_332,
    [final] ).

cnf(c_0_345,plain,
    ( ~ product(X1,X2,e_5)
    | ~ product(X1,X2,e_2) ),
    inference(spm,[status(thm)],[c_0_77,c_0_339]),
    [final] ).

cnf(c_0_347,negated_conjecture,
    ( ~ product(X3,e_5,X4)
    | ~ product(X2,e_3,X4)
    | ~ product(X1,e_5,X3)
    | ~ product(X1,e_3,X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_129]),
    [final] ).

cnf(c_0_352,negated_conjecture,
    ~ product(e_2,e_4,e_2),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_344]),c_0_345]),c_0_176]),
    [final] ).

cnf(c_0_354,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_3,X2)
    | ~ product(e_3,e_5,X1) ),
    inference(spm,[status(thm)],[c_0_347,c_0_62]),
    [final] ).

cnf(c_0_357,plain,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_4,e_1) ),
    inference(sr,[status(thm)],[c_0_206,c_0_352]),
    [final] ).

cnf(c_0_362,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_1,e_4,X2)
    | ~ product(e_2,X1,e_4)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_240,c_0_357]),
    [final] ).

cnf(c_0_367,negated_conjecture,
    ( ~ product(e_4,e_5,X1)
    | ~ product(e_1,e_4,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]),
    [final] ).

cnf(c_0_372,plain,
    ( ~ product(X1,X2,e_5)
    | ~ product(X1,X2,e_3) ),
    inference(spm,[status(thm)],[c_0_76,c_0_339]),
    [final] ).

cnf(c_0_373,plain,
    ~ product(e_5,e_2,e_5),
    inference(spm,[status(thm)],[c_0_181,c_0_62]),
    [final] ).

cnf(c_0_385,negated_conjecture,
    ( ~ product(e_3,X3,X4)
    | ~ product(e_1,X2,X4)
    | ~ product(X1,X3,e_3)
    | ~ product(X1,X2,e_1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_128]),
    [final] ).

cnf(c_0_402,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_2,e_4,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_394]),c_0_62])]),
    [final] ).

cnf(c_0_404,negated_conjecture,
    ( ~ product(X3,e_5,X4)
    | ~ product(X2,e_4,X4)
    | ~ product(X1,e_5,X3)
    | ~ product(X1,e_4,X2) ),
    inference(spm,[status(thm)],[c_0_107,c_0_129]),
    [final] ).

cnf(c_0_413,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_4,X2)
    | ~ product(e_4,e_5,X1) ),
    inference(spm,[status(thm)],[c_0_404,c_0_62]),
    [final] ).

cnf(c_0_414,negated_conjecture,
    ( ~ product(X3,e_4,X4)
    | ~ product(X2,e_3,X4)
    | ~ product(X1,e_4,X3)
    | ~ product(X1,e_3,X2) ),
    inference(spm,[status(thm)],[c_0_122,c_0_129]),
    [final] ).

cnf(c_0_425,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_3,X2)
    | ~ product(e_3,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_414,c_0_62]),
    [final] ).

cnf(c_0_428,plain,
    ~ product(e_5,e_3,e_5),
    inference(spm,[status(thm)],[c_0_168,c_0_62]),
    [final] ).

cnf(c_0_436,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_5,e_2,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_422,c_0_402]),
    [final] ).

cnf(c_0_486,negated_conjecture,
    ( ~ product(e_4,X3,X4)
    | ~ product(e_3,X2,X4)
    | ~ product(X1,X3,e_4)
    | ~ product(X1,X2,e_3) ),
    inference(spm,[status(thm)],[c_0_122,c_0_128]),
    [final] ).

cnf(c_0_504,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_3,X2)
    | ~ product(e_3,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_486,c_0_62]),
    [final] ).

cnf(c_0_529,plain,
    ( ~ product(X1,X2,e_4)
    | ~ product(X1,X2,e_2) ),
    inference(spm,[status(thm)],[c_0_125,c_0_339]),
    [final] ).

cnf(c_0_535,plain,
    ( product(e_2,e_3,e_5)
    | product(e_2,e_3,e_1) ),
    inference(sr,[status(thm)],[c_0_524,c_0_243]),
    [final] ).

cnf(c_0_536,plain,
    ( ~ product(X1,X2,e_2)
    | ~ product(X1,X2,e_1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_339]),
    [final] ).

cnf(c_0_537,plain,
    ( ~ product(X1,X2,e_4)
    | ~ product(X1,X2,e_1) ),
    inference(spm,[status(thm)],[c_0_113,c_0_339]),
    [final] ).

cnf(c_0_538,plain,
    ( ~ product(X1,X2,e_4)
    | ~ product(X1,X2,e_3) ),
    inference(spm,[status(thm)],[c_0_122,c_0_339]),
    [final] ).

cnf(c_0_539,plain,
    ( ~ product(X1,X2,e_3)
    | ~ product(X1,X2,e_2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_339]),
    [final] ).

cnf(c_0_550,negated_conjecture,
    ~ product(e_3,e_4,e_5),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_308]),c_0_108]),
    [final] ).

cnf(c_0_563,plain,
    ( ~ product(X1,X2,e_5)
    | ~ product(X1,X2,e_4) ),
    inference(spm,[status(thm)],[c_0_107,c_0_339]),
    [final] ).

cnf(c_0_571,plain,
    ( product(e_2,e_3,e_5)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[c_0_416,c_0_352]),
    [final] ).

cnf(c_0_574,negated_conjecture,
    ~ product(e_3,e_2,e_4),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_564]),c_0_529]),
    [final] ).

cnf(c_0_583,negated_conjecture,
    ~ product(e_3,e_2,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_575]),c_0_62])]),
    [final] ).

cnf(c_0_595,negated_conjecture,
    ( ~ product(e_5,X3,X4)
    | ~ product(e_2,X2,X4)
    | ~ product(X1,X3,e_5)
    | ~ product(X1,X2,e_2) ),
    inference(spm,[status(thm)],[c_0_77,c_0_128]),
    [final] ).

cnf(c_0_602,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_2,X2)
    | ~ product(e_2,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_595,c_0_62]),
    [final] ).

cnf(c_0_606,negated_conjecture,
    ( ~ product(X3,e_3,X4)
    | ~ product(X2,e_2,X4)
    | ~ product(X1,e_3,X3)
    | ~ product(X1,e_2,X2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_129]),
    [final] ).

cnf(c_0_610,negated_conjecture,
    ( product(e_3,e_5,e_2)
    | product(e_2,e_3,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_600]),c_0_62])]),
    [final] ).

cnf(c_0_618,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_2,e_2,X2)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_606,c_0_62]),
    [final] ).

cnf(c_0_620,negated_conjecture,
    ( product(e_2,e_3,e_5)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_609,c_0_610]),
    [final] ).

cnf(c_0_627,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | ~ product(e_2,e_2,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_618,c_0_535]),
    [final] ).

cnf(c_0_637,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_3)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_306,c_0_620]),
    [final] ).

cnf(c_0_644,negated_conjecture,
    product(e_3,e_2,e_5),
    inference(sr,[status(thm)],[c_0_564,c_0_583]),
    [final] ).

cnf(c_0_670,negated_conjecture,
    product(e_4,e_3,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_666]),c_0_62])]),
    [final] ).

cnf(c_0_673,negated_conjecture,
    ~ product(e_4,e_2,e_2),
    inference(spm,[status(thm)],[c_0_151,c_0_670]),
    [final] ).

cnf(c_0_677,negated_conjecture,
    ( ~ product(X1,e_2,X2)
    | ~ product(e_5,e_1,X2)
    | ~ product(e_4,e_2,X1)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_139,c_0_156]),
    [final] ).

cnf(c_0_678,plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(sr,[status(thm)],[c_0_164,c_0_673]),
    [final] ).

cnf(c_0_682,negated_conjecture,
    ( ~ product(e_1,e_2,X1)
    | ~ product(e_5,e_1,X1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_2,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_678]),c_0_172]),
    [final] ).

cnf(c_0_686,negated_conjecture,
    ( product(e_1,e_3,e_4)
    | product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_674]),c_0_492]),c_0_277]),c_0_681]),
    [final] ).

cnf(c_0_708,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_3,X2)
    | ~ product(e_4,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_306,c_0_670]),
    [final] ).

cnf(c_0_717,negated_conjecture,
    ~ product(e_2,e_5,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_714]),c_0_715]),
    [final] ).

cnf(c_0_720,negated_conjecture,
    ( product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3) ),
    inference(sr,[status(thm)],[c_0_309,c_0_717]),
    [final] ).

cnf(c_0_721,negated_conjecture,
    ~ product(e_3,e_1,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_719]),c_0_62])]),
    [final] ).

cnf(c_0_722,negated_conjecture,
    ~ product(e_5,e_4,e_2),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_718]),c_0_144]),c_0_90]),
    [final] ).

cnf(c_0_723,negated_conjecture,
    ( ~ product(e_1,e_2,e_3)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_181,c_0_720]),
    [final] ).

cnf(c_0_724,negated_conjecture,
    ( ~ product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_157,c_0_720]),
    [final] ).

cnf(c_0_727,negated_conjecture,
    ( ~ product(e_1,e_2,e_3)
    | ~ product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_157,c_0_723]),
    [final] ).

cnf(c_0_750,negated_conjecture,
    ~ product(e_5,e_3,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_742]),c_0_62])]),
    [final] ).

cnf(c_0_757,plain,
    ~ product(e_3,e_5,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_749]),c_0_62])]),
    [final] ).

cnf(c_0_759,negated_conjecture,
    ~ product(e_5,e_2,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_751]),c_0_62])]),
    [final] ).

cnf(c_0_763,negated_conjecture,
    product(e_2,e_5,e_4),
    inference(sr,[status(thm)],[c_0_192,c_0_717]),
    [final] ).

cnf(c_0_764,negated_conjecture,
    ( product(e_3,e_5,e_2)
    | product(e_1,e_5,e_2) ),
    inference(sr,[status(thm)],[c_0_756,c_0_757]),
    [final] ).

cnf(c_0_769,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_5,X2)
    | ~ product(e_2,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_138,c_0_763]),
    [final] ).

cnf(c_0_771,negated_conjecture,
    ~ product(e_4,e_5,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_764]),c_0_135]),
    [final] ).

cnf(c_0_772,plain,
    ( product(e_5,e_3,e_4)
    | product(e_5,e_2,e_4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_765,c_0_766]),c_0_767]),c_0_768]),
    [final] ).

cnf(c_0_774,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_1) ),
    inference(sr,[status(thm)],[c_0_137,c_0_771]),
    [final] ).

cnf(c_0_780,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_1,e_1,X2)
    | ~ product(e_1,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_385,c_0_62]),
    [final] ).

cnf(c_0_783,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_4,e_5,e_3) ),
    inference(sr,[status(thm)],[c_0_646,c_0_771]),
    [final] ).

cnf(c_0_788,plain,
    ( ~ product(X1,X2,e_3)
    | ~ product(X1,X2,e_1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_339]),
    [final] ).

cnf(c_0_789,negated_conjecture,
    ( product(e_3,e_5,e_2)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[c_0_711,c_0_717]),
    [final] ).

cnf(c_0_793,negated_conjecture,
    ( ~ product(e_3,e_4,e_1)
    | product(e_1,e_4,e_2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_787,c_0_62]),c_0_788]),c_0_536]),
    [final] ).

cnf(c_0_794,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_5)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_595,c_0_789]),
    [final] ).

cnf(c_0_796,negated_conjecture,
    ~ product(e_3,e_1,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_791]),c_0_62])]),
    [final] ).

cnf(c_0_799,negated_conjecture,
    ~ product(e_3,e_4,e_3),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_795]),c_0_644]),c_0_763])]),c_0_539]),
    [final] ).

cnf(c_0_800,negated_conjecture,
    ( ~ product(X3,e_4,X4)
    | ~ product(X2,e_1,X4)
    | ~ product(X1,e_4,X3)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_113,c_0_129]),
    [final] ).

cnf(c_0_801,plain,
    product(e_3,e_1,e_4),
    inference(sr,[status(thm)],[c_0_741,c_0_796]),
    [final] ).

cnf(c_0_803,plain,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(sr,[status(thm)],[c_0_798,c_0_799]),
    [final] ).

cnf(c_0_805,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_1,X2)
    | ~ product(e_3,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_800,c_0_801]),
    [final] ).

cnf(c_0_814,negated_conjecture,
    ~ product(e_2,e_1,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_812]),c_0_62])]),
    [final] ).

cnf(c_0_821,negated_conjecture,
    product(e_5,e_4,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_818]),c_0_62])]),
    [final] ).

cnf(c_0_824,negated_conjecture,
    ( ~ product(e_1,e_4,e_2)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_157,c_0_764]),
    [final] ).

cnf(c_0_827,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_1,e_1,X2)
    | ~ product(e_1,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_204,c_0_62]),
    [final] ).

cnf(c_0_844,negated_conjecture,
    ( product(e_5,e_3,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_837,c_0_774]),c_0_838]),
    [final] ).

cnf(c_0_852,negated_conjecture,
    ( ~ product(e_4,e_5,e_3)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_123,c_0_720]),
    [final] ).

cnf(c_0_853,negated_conjecture,
    ( ~ product(e_5,e_2,e_4)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_151,c_0_844]),
    [final] ).

cnf(c_0_854,negated_conjecture,
    ( product(e_5,e_2,e_4)
    | product(e_3,e_5,e_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_845]),c_0_62])]),
    [final] ).

cnf(c_0_860,negated_conjecture,
    ( product(e_5,e_2,e_4)
    | product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_451,c_0_759]),c_0_849]),
    [final] ).

cnf(c_0_863,negated_conjecture,
    ( ~ product(e_4,e_5,e_3)
    | ~ product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_86,c_0_852]),
    [final] ).

cnf(c_0_874,negated_conjecture,
    ( ~ product(e_4,e_5,e_3)
    | ~ product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_862]),c_0_863]),
    [final] ).

cnf(c_0_875,negated_conjecture,
    ( product(e_3,e_5,e_2)
    | product(e_4,e_5,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_864]),c_0_62])]),
    [final] ).

cnf(c_0_885,negated_conjecture,
    ( ~ product(e_3,e_5,e_2)
    | product(e_1,e_4,e_2)
    | product(e_3,e_4,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_617]),c_0_157]),
    [final] ).

cnf(c_0_886,negated_conjecture,
    ( ~ product(e_2,e_4,e_5)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_874,c_0_875]),
    [final] ).

cnf(c_0_901,negated_conjecture,
    ( ~ product(e_2,e_4,e_5)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_885,c_0_886]),c_0_799]),
    [final] ).

cnf(c_0_907,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_1,e_5,e_2) ),
    inference(sr,[status(thm)],[c_0_891,c_0_771]),
    [final] ).

cnf(c_0_915,negated_conjecture,
    ( ~ product(e_4,e_5,e_3)
    | ~ product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_157,c_0_852]),
    [final] ).

cnf(c_0_918,negated_conjecture,
    ~ product(e_1,e_3,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_901]),c_0_681]),
    [final] ).

cnf(c_0_919,negated_conjecture,
    ~ product(e_1,e_3,e_3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_902,c_0_901]),c_0_903]),
    [final] ).

cnf(c_0_924,negated_conjecture,
    ~ product(e_3,e_5,e_3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_875]),c_0_539]),
    [final] ).

cnf(c_0_927,negated_conjecture,
    ~ product(e_5,e_3,e_3),
    inference(spm,[status(thm)],[c_0_132,c_0_821]),
    [final] ).

cnf(c_0_928,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_780,c_0_720]),
    [final] ).

cnf(c_0_929,negated_conjecture,
    ( ~ product(e_3,e_5,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_909]),c_0_135]),c_0_108]),
    [final] ).

cnf(c_0_931,negated_conjecture,
    ( product(e_1,e_3,e_4)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(sr,[status(thm)],[c_0_910,c_0_717]),
    [final] ).

cnf(c_0_936,negated_conjecture,
    ( ~ product(e_4,e_5,e_3)
    | product(e_1,e_3,e_4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_915,c_0_916]),c_0_917]),c_0_135]),
    [final] ).

cnf(c_0_942,plain,
    ( product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_241,c_0_918]),c_0_919]),
    [final] ).

cnf(c_0_946,negated_conjecture,
    ~ product(e_1,e_2,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_901]),c_0_923]),
    [final] ).

cnf(c_0_947,plain,
    product(e_2,e_1,e_3),
    inference(sr,[status(thm)],[c_0_92,c_0_814]),
    [final] ).

cnf(c_0_948,negated_conjecture,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_1,e_1,X2)
    | ~ product(e_1,X1,e_2) ),
    inference(spm,[status(thm)],[c_0_209,c_0_62]),
    [final] ).

cnf(c_0_949,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_916,c_0_924]),c_0_918]),
    [final] ).

cnf(c_0_952,plain,
    ( product(e_5,e_3,e_4)
    | product(e_5,e_3,e_1) ),
    inference(sr,[status(thm)],[c_0_758,c_0_927]),
    [final] ).

cnf(c_0_953,negated_conjecture,
    ( ~ product(e_3,e_5,e_1)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_928,c_0_62]),
    [final] ).

cnf(c_0_954,negated_conjecture,
    ( product(e_1,e_5,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_909,c_0_717]),c_0_771]),
    [final] ).

cnf(c_0_957,negated_conjecture,
    ( ~ product(e_5,e_3,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_61,c_0_931]),
    [final] ).

cnf(c_0_966,negated_conjecture,
    ( ~ product(e_4,e_5,e_3)
    | ~ product(e_1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_151,c_0_936]),
    [final] ).

cnf(c_0_968,negated_conjecture,
    ( ~ product(e_1,e_5,X1)
    | ~ product(e_5,e_1,X1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_165,c_0_774]),
    [final] ).

cnf(c_0_969,plain,
    product(e_5,e_1,e_2),
    inference(sr,[status(thm)],[c_0_937,c_0_814]),
    [final] ).

cnf(c_0_976,negated_conjecture,
    ( ~ product(e_5,e_3,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_827,c_0_942]),
    [final] ).

cnf(c_0_982,negated_conjecture,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_2,e_3) ),
    inference(sr,[status(thm)],[c_0_608,c_0_946]),
    [final] ).

cnf(c_0_983,plain,
    ( ~ product(e_2,e_4,e_1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_108,c_0_803]),
    [final] ).

cnf(c_0_984,negated_conjecture,
    ~ product(e_5,e_2,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_382,c_0_947])]),
    [final] ).

cnf(c_0_985,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_948,c_0_949]),
    [final] ).

cnf(c_0_988,plain,
    ( ~ product(e_2,e_3,e_1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_91,c_0_952]),
    [final] ).

cnf(c_0_989,negated_conjecture,
    ( ~ product(e_3,e_5,e_1)
    | ~ product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_157,c_0_953]),
    [final] ).

cnf(c_0_1004,negated_conjecture,
    ( ~ product(e_4,e_5,e_3)
    | product(e_1,e_2,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_966,c_0_608]),c_0_967]),
    [final] ).

cnf(c_0_1006,negated_conjecture,
    ( ~ product(e_1,e_5,e_2)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_968,c_0_969]),
    [final] ).

cnf(c_0_1007,negated_conjecture,
    ( product(e_1,e_5,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_2,e_4) ),
    inference(sr,[status(thm)],[c_0_970,c_0_946]),
    [final] ).

cnf(c_0_1010,negated_conjecture,
    ( ~ product(e_1,e_2,e_3)
    | product(e_1,e_3,e_4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_825]),c_0_151]),c_0_938]),
    [final] ).

cnf(c_0_1012,negated_conjecture,
    ( ~ product(e_3,e_5,e_2)
    | product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_891]),c_0_135]),
    [final] ).

cnf(c_0_1014,negated_conjecture,
    ( ~ product(e_5,e_3,e_1)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_976,c_0_62]),
    [final] ).

cnf(c_0_1015,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_5,e_4,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_404,c_0_220]),
    [final] ).

cnf(c_0_1016,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_4,X1)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_414,c_0_772]),
    [final] ).

cnf(c_0_1018,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_1,e_1,X2)
    | ~ product(e_1,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_240,c_0_62]),
    [final] ).

cnf(c_0_1022,negated_conjecture,
    ( ~ product(e_1,e_2,e_3)
    | ~ product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_86,c_0_723]),
    [final] ).

cnf(c_0_1023,negated_conjecture,
    ( ~ product(e_5,e_2,e_4)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_61,c_0_982]),
    [final] ).

cnf(c_0_1024,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_3,X1,e_5)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_595,c_0_983]),
    [final] ).

cnf(c_0_1025,plain,
    ( product(e_5,e_2,e_4)
    | product(e_5,e_2,e_1) ),
    inference(sr,[status(thm)],[c_0_766,c_0_984]),
    [final] ).

cnf(c_0_1026,negated_conjecture,
    ( ~ product(e_2,e_4,e_1)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_985,c_0_62]),
    [final] ).

cnf(c_0_1027,plain,
    ( ~ product(e_2,e_3,e_5)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_69,c_0_942]),
    [final] ).

cnf(c_0_1028,negated_conjecture,
    ( ~ product(e_3,e_4,e_2)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_86,c_0_949]),
    [final] ).

cnf(c_0_1031,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_184,c_0_764]),
    [final] ).

cnf(c_0_1032,negated_conjecture,
    ( ~ product(e_1,e_4,e_2)
    | product(e_5,e_3,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_987]),c_0_144]),
    [final] ).

cnf(c_0_1033,plain,
    ( ~ product(e_2,e_3,e_1)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_151,c_0_988]),
    [final] ).

cnf(c_0_1034,plain,
    ( product(e_5,e_3,e_4)
    | product(e_2,e_3,e_5) ),
    inference(sr,[status(thm)],[c_0_831,c_0_927]),
    [final] ).

cnf(c_0_1035,negated_conjecture,
    ( ~ product(e_3,e_5,e_1)
    | product(e_1,e_3,e_4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_989,c_0_916]),c_0_990]),c_0_788]),
    [final] ).

cnf(c_0_1038,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_184,c_0_793]),
    [final] ).

cnf(c_0_1039,negated_conjecture,
    ( product(e_2,e_3,e_5)
    | product(e_4,e_2,e_3) ),
    inference(sr,[status(thm)],[c_0_664,c_0_673]),
    [final] ).

cnf(c_0_1040,negated_conjecture,
    ( product(e_4,e_2,e_3)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[c_0_993,c_0_717]),
    [final] ).

cnf(c_0_1042,plain,
    ( product(e_5,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_995,c_0_759]),c_0_996]),
    [final] ).

cnf(c_0_1043,plain,
    ( ~ product(e_2,e_3,e_1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_132,c_0_357]),
    [final] ).

cnf(c_0_1058,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_780,c_0_1004]),
    [final] ).

cnf(c_0_1060,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_948,c_0_852]),
    [final] ).

cnf(c_0_1061,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_5)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_595,c_0_610]),
    [final] ).

cnf(c_0_1062,negated_conjecture,
    ( ~ product(e_3,e_4,e_2)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_157,c_0_610]),
    [final] ).

cnf(c_0_1064,negated_conjecture,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4)
    | product(e_1,e_2,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1006,c_0_1007]),
    [final] ).

cnf(c_0_1065,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_212,c_0_1004]),
    [final] ).

cnf(c_0_1066,plain,
    ( product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3)
    | product(e_4,e_5,e_3) ),
    inference(sr,[status(thm)],[c_0_1008,c_0_771]),
    [final] ).

cnf(c_0_1067,negated_conjecture,
    ( product(e_1,e_2,e_3)
    | product(e_5,e_3,e_4) ),
    inference(sr,[status(thm)],[c_0_972,c_0_946]),
    [final] ).

cnf(c_0_1068,negated_conjecture,
    ( product(e_5,e_3,e_4)
    | product(e_1,e_3,e_4) ),
    inference(sr,[status(thm)],[c_0_1009,c_0_924]),
    [final] ).

cnf(c_0_1069,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1010]),
    [final] ).

cnf(c_0_1070,negated_conjecture,
    ( product(e_1,e_2,e_3)
    | product(e_3,e_5,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_882,c_0_854]),c_0_884]),
    [final] ).

cnf(c_0_1071,negated_conjecture,
    ( product(e_1,e_2,e_3)
    | product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1011,c_0_722]),c_0_757]),c_0_1012]),
    [final] ).

cnf(c_0_1073,negated_conjecture,
    ( ~ product(e_5,e_3,e_1)
    | ~ product(e_1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_151,c_0_1014]),
    [final] ).

cnf(c_0_1074,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_1,X2)
    | ~ product(e_3,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_138,c_0_801]),
    [final] ).

cnf(c_0_1075,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_1,e_2,e_3)
    | product(e_1,e_4,e_4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1015,c_0_723]),c_0_727]),c_0_144]),
    [final] ).

cnf(c_0_1077,negated_conjecture,
    ( ~ product(e_3,e_4,X1)
    | ~ product(e_4,e_3,X1)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1016,c_0_1017]),
    [final] ).

cnf(c_0_1078,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_982]),
    [final] ).

cnf(c_0_1081,plain,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[c_0_1020,c_0_924]),
    [final] ).

cnf(c_0_1082,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_5,e_3,e_4) ),
    inference(sr,[status(thm)],[c_0_1021,c_0_799]),
    [final] ).

cnf(c_0_1083,negated_conjecture,
    ( ~ product(e_5,e_2,e_4)
    | ~ product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1022,c_0_1023]),
    [final] ).

cnf(c_0_1084,negated_conjecture,
    ( ~ product(e_2,e_4,e_1)
    | product(e_5,e_2,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1024,c_0_1025]),c_0_644])]),
    [final] ).

cnf(c_0_1085,negated_conjecture,
    ( ~ product(e_2,e_4,e_1)
    | ~ product(e_1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_151,c_0_1026]),
    [final] ).

cnf(c_0_1086,plain,
    ( ~ product(e_2,e_3,e_5)
    | ~ product(e_1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_151,c_0_1027]),
    [final] ).

cnf(c_0_1087,negated_conjecture,
    ( ~ product(e_3,e_4,e_2)
    | ~ product(e_1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_151,c_0_1028]),
    [final] ).

cnf(c_0_1090,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_5,X1)
    | ~ product(e_1,e_2,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1031,c_0_1010]),c_0_1022]),
    [final] ).

cnf(c_0_1091,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_1,X2)
    | ~ product(e_2,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_212,c_0_947]),
    [final] ).

cnf(c_0_1092,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | ~ product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_306,c_0_723]),
    [final] ).

cnf(c_0_1093,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_184,c_0_723]),
    [final] ).

cnf(c_0_1096,negated_conjecture,
    ( ~ product(e_4,e_5,e_3)
    | ~ product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_61,c_0_936]),
    [final] ).

cnf(c_0_1097,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_5,e_2,X2)
    | ~ product(e_3,e_5,X1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_644]),
    [final] ).

cnf(c_0_1098,negated_conjecture,
    ( ~ product(e_2,e_4,e_5)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_1032,c_0_901]),
    [final] ).

cnf(c_0_1099,negated_conjecture,
    ( ~ product(e_1,e_2,e_3)
    | ~ product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_61,c_0_1010]),
    [final] ).

cnf(c_0_1100,negated_conjecture,
    ( ~ product(e_2,e_3,e_1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1033,c_0_854]),
    [final] ).

cnf(c_0_1101,negated_conjecture,
    ( ~ product(e_4,e_5,e_1)
    | product(e_5,e_3,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_952]),c_0_1034]),
    [final] ).

cnf(c_0_1102,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_3)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_306,c_0_793]),
    [final] ).

cnf(c_0_1103,negated_conjecture,
    ( ~ product(e_3,e_4,e_1)
    | ~ product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_727,c_0_793]),
    [final] ).

cnf(c_0_1105,negated_conjecture,
    ( ~ product(e_3,e_5,e_1)
    | ~ product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_61,c_0_1035]),
    [final] ).

cnf(c_0_1109,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_3,X2)
    | ~ product(e_4,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_595,c_0_670]),
    [final] ).

cnf(c_0_1110,negated_conjecture,
    ( ~ product(e_3,e_4,e_1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_824,c_0_793]),
    [final] ).

cnf(c_0_1112,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[c_0_811,c_0_799]),
    [final] ).

cnf(c_0_1118,negated_conjecture,
    ( ~ product(e_3,e_5,e_1)
    | ~ product(e_1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_151,c_0_1035]),
    [final] ).

cnf(c_0_1125,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_4,e_5,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1039]),
    [final] ).

cnf(c_0_1126,negated_conjecture,
    ( ~ product(e_4,e_5,e_3)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_915,c_0_620]),
    [final] ).

cnf(c_0_1127,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_4,e_5,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1040]),
    [final] ).

cnf(c_0_1131,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,X1,e_5)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1042]),
    [final] ).

cnf(c_0_1132,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_347,c_0_686]),
    [final] ).

cnf(c_0_1133,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_5,e_4,X2)
    | ~ product(e_2,e_5,X1)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_404,c_0_1043]),
    [final] ).

cnf(c_0_1159,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_4,X1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_1057,c_0_844]),
    [final] ).

cnf(c_0_1162,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_1,X1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_1059,c_0_844]),
    [final] ).

cnf(c_0_1168,axiom,
    greater(e_3,e_2),
    e_3_greater_e_2,
    [final] ).

cnf(c_0_1169,axiom,
    greater(e_4,e_2),
    e_4_greater_e_2,
    [final] ).

cnf(c_0_1170,axiom,
    greater(e_5,e_2),
    e_5_greater_e_2,
    [final] ).

cnf(c_0_1171,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_3)
    | product(e_1,e_2,e_4)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_306,c_0_1064]),
    [final] ).

cnf(c_0_1172,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_4)
    | product(e_1,e_2,e_4)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_184,c_0_1064]),
    [final] ).

cnf(c_0_1173,plain,
    ( ~ product(e_1,e_2,e_5)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_151,c_0_942]),
    [final] ).

cnf(c_0_1174,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1065,c_0_1066]),
    [final] ).

cnf(c_0_1175,negated_conjecture,
    ( ~ product(e_1,e_4,e_2)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_696]),c_0_132]),c_0_144]),
    [final] ).

cnf(c_0_1176,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_138,c_0_931]),
    [final] ).

cnf(c_0_1177,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_212,c_0_1067]),
    [final] ).

cnf(c_0_1178,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_138,c_0_982]),
    [final] ).

cnf(c_0_1179,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1068]),
    [final] ).

cnf(c_0_1180,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1069,c_0_1070]),
    [final] ).

cnf(c_0_1181,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_1070]),
    [final] ).

cnf(c_0_1182,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_212,c_0_1071]),
    [final] ).

cnf(c_0_1183,negated_conjecture,
    ( ~ product(e_1,e_4,e_4)
    | product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1072,c_0_741]),c_0_1036]),c_0_809]),
    [final] ).

cnf(c_0_1184,negated_conjecture,
    ( ~ product(e_1,e_2,e_3)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_1006,c_0_723]),
    [final] ).

cnf(c_0_1185,negated_conjecture,
    ( ~ product(e_5,e_3,e_1)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1073,c_0_982]),
    [final] ).

cnf(c_0_1186,negated_conjecture,
    ( ~ product(e_4,e_1,e_4)
    | product(e_3,e_5,e_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1074,c_0_854]),c_0_644])]),
    [final] ).

cnf(c_0_1187,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_4,e_5,e_3)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_1075,c_0_1004]),
    [final] ).

cnf(c_0_1190,negated_conjecture,
    ( ~ product(e_3,e_4,e_2)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1077,c_0_670]),
    [final] ).

cnf(c_0_1191,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_3)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_306,c_0_949]),
    [final] ).

cnf(c_0_1192,negated_conjecture,
    ( product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5)
    | product(e_1,e_2,e_3) ),
    inference(sr,[status(thm)],[c_0_675,c_0_946]),
    [final] ).

cnf(c_0_1193,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_720]),
    [final] ).

cnf(c_0_1194,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_486,c_0_720]),
    [final] ).

cnf(c_0_1195,negated_conjecture,
    ( ~ product(e_4,e_2,e_1)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1078,c_0_62]),
    [final] ).

cnf(c_0_1196,negated_conjecture,
    ( ~ product(e_3,e_5,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1079,c_0_1080]),c_0_135]),
    [final] ).

cnf(c_0_1197,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_1,e_4,X1)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_247,c_0_982]),
    [final] ).

cnf(c_0_1198,negated_conjecture,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_1,e_5,X2)
    | ~ product(e_3,X1,e_2)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_209,c_0_1081]),
    [final] ).

cnf(c_0_1199,negated_conjecture,
    ( ~ product(e_2,e_3,e_5)
    | product(e_3,e_4,e_2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_1082]),c_0_801])]),c_0_806]),
    [final] ).

cnf(c_0_1200,negated_conjecture,
    ( ~ product(e_2,e_4,e_1)
    | ~ product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1083,c_0_1084]),
    [final] ).

cnf(c_0_1201,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_595,c_0_723]),
    [final] ).

cnf(c_0_1202,negated_conjecture,
    ( ~ product(e_2,e_4,e_1)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1085,c_0_982]),
    [final] ).

cnf(c_0_1203,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1010]),
    [final] ).

cnf(c_0_1204,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1010]),
    [final] ).

cnf(c_0_1205,negated_conjecture,
    ( ~ product(e_2,e_3,e_5)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1086,c_0_982]),
    [final] ).

cnf(c_0_1206,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1038,c_0_803]),
    [final] ).

cnf(c_0_1207,negated_conjecture,
    ( ~ product(e_3,e_4,e_2)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1087,c_0_982]),
    [final] ).

cnf(c_0_1208,negated_conjecture,
    ( ~ product(e_3,e_5,e_2)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_1022,c_0_1067]),
    [final] ).

cnf(c_0_1209,negated_conjecture,
    ( ~ product(e_4,e_2,e_3)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_123,c_0_1067]),
    [final] ).

cnf(c_0_1210,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_1,e_2,e_4) ),
    inference(sr,[status(thm)],[c_0_1088,c_0_946]),
    [final] ).

cnf(c_0_1211,negated_conjecture,
    ( ~ product(e_2,e_1,X1)
    | ~ product(e_1,e_2,X1)
    | product(e_5,e_2,e_4) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_386,c_0_947])]),c_0_759]),
    [final] ).

cnf(c_0_1212,negated_conjecture,
    ( ~ product(e_2,e_4,e_5)
    | ~ product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_727,c_0_901]),
    [final] ).

cnf(c_0_1213,negated_conjecture,
    ( ~ product(e_1,e_3,e_4)
    | product(e_2,e_3,e_5)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_1089,c_0_801]),
    [final] ).

cnf(c_0_1214,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1090,c_0_1023]),
    [final] ).

cnf(c_0_1215,negated_conjecture,
    ( ~ product(e_2,e_3,e_5)
    | product(e_5,e_2,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1091,c_0_772]),c_0_801])]),
    [final] ).

cnf(c_0_1216,plain,
    ( ~ product(e_4,e_2,e_1)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_117,c_0_1025]),
    [final] ).

cnf(c_0_1218,negated_conjecture,
    ( ~ product(e_2,e_4,e_1)
    | ~ product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_61,c_0_1026]),
    [final] ).

cnf(c_0_1219,plain,
    ( ~ product(e_5,e_2,e_1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_151,c_0_952]),
    [final] ).

cnf(c_0_1220,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_4,X2)
    | ~ product(e_5,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_486,c_0_821]),
    [final] ).

cnf(c_0_1221,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_1,X2)
    | ~ product(e_5,X1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1002,c_0_947])]),
    [final] ).

cnf(c_0_1222,negated_conjecture,
    ( product(e_1,e_5,e_2)
    | product(e_5,e_3,e_4) ),
    inference(sr,[status(thm)],[c_0_987,c_0_946]),
    [final] ).

cnf(c_0_1225,negated_conjecture,
    ( ~ product(e_3,e_4,e_2)
    | ~ product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_61,c_0_1028]),
    [final] ).

cnf(c_0_1226,negated_conjecture,
    ( product(e_3,e_5,e_2)
    | product(e_1,e_3,e_4) ),
    inference(sr,[status(thm)],[c_0_1094,c_0_924]),
    [final] ).

cnf(c_0_1227,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_1,X2)
    | ~ product(e_3,e_5,X1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_801]),
    [final] ).

cnf(c_0_1228,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_2,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1095,c_0_936]),c_0_967]),c_0_1096]),
    [final] ).

cnf(c_0_1230,negated_conjecture,
    ( ~ product(e_5,e_2,e_4)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_123,c_0_1023]),
    [final] ).

cnf(c_0_1231,negated_conjecture,
    ( ~ product(e_2,e_4,e_5)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_151,c_0_1098]),
    [final] ).

cnf(c_0_1232,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_306,c_0_764]),
    [final] ).

cnf(c_0_1233,negated_conjecture,
    ( ~ product(e_5,e_3,e_4)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1099,c_0_1070]),
    [final] ).

cnf(c_0_1234,negated_conjecture,
    ( ~ product(e_2,e_3,e_1)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_885,c_0_1100]),c_0_799]),
    [final] ).

cnf(c_0_1235,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,X1,e_5)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_854]),
    [final] ).

cnf(c_0_1236,negated_conjecture,
    ( ~ product(e_4,e_5,e_1)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_151,c_0_1101]),
    [final] ).

cnf(c_0_1237,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1102,c_0_803]),
    [final] ).

cnf(c_0_1238,negated_conjecture,
    ( ~ product(e_3,e_4,e_1)
    | product(e_5,e_3,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1103,c_0_972]),c_0_1104]),
    [final] ).

cnf(c_0_1239,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_1,e_3,X2)
    | ~ product(e_5,X1,e_4)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_240,c_0_952]),
    [final] ).

cnf(c_0_1240,negated_conjecture,
    ( ~ product(e_3,e_5,e_1)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1105,c_0_772]),
    [final] ).

cnf(c_0_1241,negated_conjecture,
    ( ~ product(e_4,e_5,e_3)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1096,c_0_772]),
    [final] ).

cnf(c_0_1242,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,X1,e_5)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1034]),
    [final] ).

cnf(c_0_1243,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_1,e_3,X2)
    | ~ product(e_5,X1,e_3)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_385,c_0_952]),
    [final] ).

cnf(c_0_1244,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_1,e_3,X2)
    | ~ product(e_5,X1,e_5)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_204,c_0_952]),
    [final] ).

cnf(c_0_1245,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_2,e_1,X2)
    | ~ product(e_5,e_3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1106,c_0_947])]),
    [final] ).

cnf(c_0_1246,negated_conjecture,
    ( ~ product(e_5,e_3,e_4)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_61,c_0_686]),
    [final] ).

cnf(c_0_1247,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_4,X2)
    | ~ product(e_5,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_212,c_0_821]),
    [final] ).

cnf(c_0_1248,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_1,X2)
    | ~ product(e_5,X1,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1107,c_0_947])]),
    [final] ).

cnf(c_0_1250,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_1,e_2,X2)
    | ~ product(e_5,X1,e_4)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_240,c_0_1025]),
    [final] ).

cnf(c_0_1251,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_1,e_2,X2)
    | ~ product(e_5,X1,e_5)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_204,c_0_1025]),
    [final] ).

cnf(c_0_1252,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_1,X2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_800,c_0_947]),
    [final] ).

cnf(c_0_1253,negated_conjecture,
    ( ~ product(X1,e_2,X2)
    | ~ product(e_2,e_1,X2)
    | ~ product(e_5,e_2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1108,c_0_947])]),
    [final] ).

cnf(c_0_1257,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_1,e_4,X2)
    | ~ product(e_2,X1,e_3)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_385,c_0_357]),
    [final] ).

cnf(c_0_1258,negated_conjecture,
    ( ~ product(X1,e_2,X2)
    | ~ product(e_3,e_1,X2)
    | ~ product(e_2,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_947]),
    [final] ).

cnf(c_0_1259,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_1,e_3,X2)
    | ~ product(e_2,X1,e_3)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_385,c_0_535]),
    [final] ).

cnf(c_0_1260,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_1,X2)
    | ~ product(e_2,e_5,X1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_947]),
    [final] ).

cnf(c_0_1261,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_5)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_595,c_0_1110]),
    [final] ).

cnf(c_0_1263,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_2,e_1,X2)
    | ~ product(e_5,e_5,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1111,c_0_947])]),
    [final] ).

cnf(c_0_1267,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,X1,e_5)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1082]),
    [final] ).

cnf(c_0_1268,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_5,e_2,X2)
    | ~ product(e_3,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_247,c_0_644]),
    [final] ).

cnf(c_0_1269,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_404,c_0_793]),
    [final] ).

cnf(c_0_1270,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_595,c_0_793]),
    [final] ).

cnf(c_0_1271,negated_conjecture,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_1,e_4,X2)
    | ~ product(e_3,X1,e_2)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_209,c_0_803]),
    [final] ).

cnf(c_0_1275,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_3,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_606,c_0_860]),
    [final] ).

cnf(c_0_1281,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_3,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1004]),
    [final] ).

cnf(c_0_1282,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1004]),
    [final] ).

cnf(c_0_1283,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1004]),
    [final] ).

cnf(c_0_1284,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_486,c_0_1004]),
    [final] ).

cnf(c_0_1286,negated_conjecture,
    ( ~ product(e_3,e_5,e_1)
    | product(e_1,e_2,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1118,c_0_608]),c_0_1119]),
    [final] ).

cnf(c_0_1290,negated_conjecture,
    ( ~ product(X1,e_2,X2)
    | ~ product(e_4,e_1,X2)
    | ~ product(e_3,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_801]),
    [final] ).

cnf(c_0_1291,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_4,e_1,X2)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_249,c_0_801]),
    [final] ).

cnf(c_0_1292,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,X1,e_5)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_138,c_0_844]),
    [final] ).

cnf(c_0_1293,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,X1,e_5)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_138,c_0_772]),
    [final] ).

cnf(c_0_1295,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_4,X1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1042]),
    [final] ).

cnf(c_0_1296,negated_conjecture,
    ( ~ product(e_2,e_4,e_5)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_1121]),c_0_1066]),
    [final] ).

cnf(c_0_1299,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_4)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_184,c_0_620]),
    [final] ).

cnf(c_0_1301,negated_conjecture,
    ( ~ product(e_1,e_5,X1)
    | ~ product(e_3,e_2,X1)
    | product(e_2,e_3,e_5)
    | product(e_4,e_5,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1125,c_0_774]),c_0_1126]),
    [final] ).

cnf(c_0_1302,negated_conjecture,
    ( ~ product(e_1,e_5,X1)
    | ~ product(e_3,e_2,X1)
    | product(e_3,e_4,e_2)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_1127,c_0_774]),
    [final] ).

cnf(c_0_1303,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_3,e_5,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_404,c_0_402]),
    [final] ).

cnf(c_0_1305,negated_conjecture,
    ( ~ product(e_4,e_1,e_4)
    | product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1117,c_0_410]),c_0_644])]),c_0_809]),c_0_1036]),
    [final] ).

cnf(c_0_1309,negated_conjecture,
    ( ~ product(e_2,e_3,X1)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_4,e_2,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1128,c_0_962]),c_0_181]),
    [final] ).

cnf(c_0_1313,negated_conjecture,
    ( ~ product(e_5,e_5,X1)
    | ~ product(e_4,e_2,X1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1131,c_0_62]),
    [final] ).

cnf(c_0_1314,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,X1,e_5)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_138,c_0_860]),
    [final] ).

cnf(c_0_1317,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_595,c_0_852]),
    [final] ).

cnf(c_0_1318,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_184,c_0_852]),
    [final] ).

cnf(c_0_1319,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_306,c_0_852]),
    [final] ).

cnf(c_0_1321,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_4)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_486,c_0_1071]),
    [final] ).

cnf(c_0_1322,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_1,e_2,X2)
    | ~ product(e_4,X1,e_3)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_385,c_0_678]),
    [final] ).

cnf(c_0_1323,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_2,e_3,X2)
    | ~ product(e_4,e_5,X1) ),
    inference(spm,[status(thm)],[c_0_347,c_0_670]),
    [final] ).

cnf(c_0_1324,negated_conjecture,
    ( ~ product(e_1,e_5,X1)
    | ~ product(e_4,e_4,X1)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_413,c_0_774]),
    [final] ).

cnf(c_0_1329,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_4,X1,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_486,c_0_1040]),
    [final] ).

cnf(c_0_1330,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_5,e_4,X2)
    | ~ product(e_2,e_5,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1133,c_0_535]),
    [final] ).

cnf(c_0_1331,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_1,e_3,X2)
    | ~ product(e_2,X1,e_4)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_240,c_0_535]),
    [final] ).

cnf(c_0_1337,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_138,c_0_686]),
    [final] ).

cnf(c_0_1340,negated_conjecture,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_1,e_2,X2)
    | ~ product(e_4,X1,e_2)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_209,c_0_678]),
    [final] ).

cnf(c_0_1341,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_1,e_2,X2)
    | ~ product(e_4,X1,e_4)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_240,c_0_678]),
    [final] ).

cnf(c_0_1342,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_4,X1,e_4)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_486,c_0_1039]),
    [final] ).

cnf(c_0_1343,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_3,X2)
    | ~ product(e_4,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_184,c_0_670]),
    [final] ).

cnf(c_0_1349,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_5,e_2,X2)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_606,c_0_644]),
    [final] ).

cnf(c_0_1358,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_948,c_0_620]),
    [final] ).

cnf(c_0_1368,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | ~ product(e_2,e_2,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_259,c_0_357]),
    [final] ).

cnf(c_0_1369,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_1,e_3,X2)
    | ~ product(e_2,X1,e_5)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_204,c_0_535]),
    [final] ).

cnf(c_0_1375,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_5,e_1,X2)
    | ~ product(e_4,e_4,X1)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_800,c_0_156]),
    [final] ).

cnf(c_0_1376,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_827,c_0_220]),
    [final] ).

cnf(c_0_1377,axiom,
    greater(e_2,e_1),
    e_2_greater_e_1,
    [final] ).

cnf(c_0_1378,axiom,
    greater(e_3,e_1),
    e_3_greater_e_1,
    [final] ).

cnf(c_0_1379,axiom,
    greater(e_4,e_1),
    e_4_greater_e_1,
    [final] ).

cnf(c_0_1380,axiom,
    greater(e_5,e_1),
    e_5_greater_e_1,
    [final] ).

cnf(c_0_1396,plain,
    ( ~ next(X1,e_2)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_54,c_0_1168]),
    [final] ).

cnf(c_0_1397,axiom,
    next(e_1,e_2),
    e_1_then_e_2,
    [final] ).

cnf(c_0_1398,plain,
    ( ~ next(X1,e_2)
    | ~ product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_54,c_0_1169]),
    [final] ).

cnf(c_0_1399,plain,
    ( ~ next(X1,e_2)
    | ~ product(X1,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_54,c_0_1170]),
    [final] ).

cnf(c_0_1410,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_2,e_4,X1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4)
    | product(e_1,e_2,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1171,c_0_720]),c_0_1006]),
    [final] ).

cnf(c_0_1411,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_4,X1)
    | ~ product(e_1,e_2,e_5)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1172,c_0_1173]),c_0_563]),
    [final] ).

cnf(c_0_1412,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_1,e_2,e_4)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_404,c_0_1064]),
    [final] ).

cnf(c_0_1413,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_1,e_2,e_4)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_595,c_0_1064]),
    [final] ).

cnf(c_0_1414,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_1,e_2,e_4)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_948,c_0_1064]),
    [final] ).

cnf(c_0_1415,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_3,e_2,X1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1174,c_0_220]),c_0_1175]),
    [final] ).

cnf(c_0_1416,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_4,e_3,X1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1176,c_0_220]),c_0_1175]),
    [final] ).

cnf(c_0_1417,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_3,e_2,X1)
    | product(e_5,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1177,c_0_220]),c_0_1032]),
    [final] ).

cnf(c_0_1418,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_4,e_2,X1)
    | product(e_1,e_2,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_1178,c_0_220]),
    [final] ).

cnf(c_0_1419,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_4,e_3,X1)
    | product(e_5,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1179,c_0_220]),c_0_1032]),
    [final] ).

cnf(c_0_1420,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1015,c_0_1007]),
    [final] ).

cnf(c_0_1421,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_4,e_3,X1)
    | product(e_3,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1180,c_0_220]),c_0_824]),
    [final] ).

cnf(c_0_1422,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_3,e_2,X1)
    | product(e_3,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1181,c_0_220]),c_0_824]),
    [final] ).

cnf(c_0_1423,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_3,e_2,X1)
    | product(e_2,e_4,e_5)
    | product(e_1,e_4,e_3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1182,c_0_220]),c_0_1183]),c_0_277]),
    [final] ).

cnf(c_0_1424,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_5,e_1,X1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_2,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_1066]),c_0_172]),
    [final] ).

cnf(c_0_1425,negated_conjecture,
    ( ~ product(e_5,e_3,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_1184,c_0_1185]),
    [final] ).

cnf(c_0_1426,negated_conjecture,
    ( ~ product(e_1,e_4,e_3)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_1006,c_0_724]),
    [final] ).

cnf(c_0_1427,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_5,e_1,X1)
    | product(e_4,e_1,e_3)
    | product(e_3,e_5,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_875]),c_0_1186]),
    [final] ).

cnf(c_0_1428,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | product(e_1,e_2,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_306,c_0_1007]),
    [final] ).

cnf(c_0_1429,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | product(e_1,e_2,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_184,c_0_1007]),
    [final] ).

cnf(c_0_1430,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_1,e_2,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_595,c_0_1007]),
    [final] ).

cnf(c_0_1431,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | product(e_1,e_4,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1187,c_0_1066]),
    [final] ).

cnf(c_0_1432,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_5,X1)
    | ~ product(e_1,e_2,e_5)
    | product(e_1,e_4,e_2) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1188,c_0_1173]),c_0_717]),c_0_946]),c_0_563]),
    [final] ).

cnf(c_0_1433,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_2,e_5,X1)
    | product(e_1,e_4,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1189,c_0_1190]),c_0_1112]),
    [final] ).

cnf(c_0_1434,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_2,e_4,X1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1191,c_0_720]),
    [final] ).

cnf(c_0_1435,negated_conjecture,
    ( ~ product(e_5,e_3,X1)
    | ~ product(e_4,e_2,X1)
    | product(e_1,e_3,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1178,c_0_942]),c_0_1010]),
    [final] ).

cnf(c_0_1436,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_1,e_2,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_948,c_0_1007]),
    [final] ).

cnf(c_0_1437,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_780,c_0_1192]),
    [final] ).

cnf(c_0_1438,negated_conjecture,
    ( ~ product(e_5,e_3,X1)
    | ~ product(e_3,e_5,X1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_1193,c_0_942]),
    [final] ).

cnf(c_0_1439,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | product(e_1,e_4,e_4)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_1075,c_0_1067]),
    [final] ).

cnf(c_0_1440,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_3,e_5,X1)
    | product(e_1,e_5,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1194,c_0_982]),c_0_723]),
    [final] ).

cnf(c_0_1441,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_2,e_4,X1)
    | ~ product(e_4,e_2,e_1)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_1191,c_0_1195]),
    [final] ).

cnf(c_0_1442,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_2,e_4,X1)
    | ~ product(e_5,e_2,e_4)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_1191,c_0_1023]),
    [final] ).

cnf(c_0_1443,negated_conjecture,
    ( ~ product(e_2,e_4,e_5)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1196,c_0_886]),
    [final] ).

cnf(c_0_1444,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | product(e_1,e_4,e_4)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1075,c_0_1070]),
    [final] ).

cnf(c_0_1445,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_4,e_2,X1)
    | product(e_1,e_2,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1197,c_0_901]),c_0_1071]),
    [final] ).

cnf(c_0_1446,negated_conjecture,
    ( ~ product(e_2,e_3,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1196,c_0_1100]),
    [final] ).

cnf(c_0_1447,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_1,e_5,X1)
    | product(e_3,e_5,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_1199]),c_0_610]),
    [final] ).

cnf(c_0_1448,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_983]),c_0_1200]),
    [final] ).

cnf(c_0_1449,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_5,e_3,e_1)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_1075,c_0_1185]),
    [final] ).

cnf(c_0_1450,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | ~ product(e_5,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_1092,c_0_1185]),
    [final] ).

cnf(c_0_1451,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_5,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_1093,c_0_1185]),
    [final] ).

cnf(c_0_1452,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_5,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_1201,c_0_1185]),
    [final] ).

cnf(c_0_1453,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_3,X1)
    | ~ product(e_5,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1185]),
    [final] ).

cnf(c_0_1454,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_5,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1185]),
    [final] ).

cnf(c_0_1455,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_5,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1185]),
    [final] ).

cnf(c_0_1456,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_5,X1)
    | ~ product(e_5,e_3,e_1)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1194,c_0_1014]),
    [final] ).

cnf(c_0_1457,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_5,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_486,c_0_1185]),
    [final] ).

cnf(c_0_1458,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_5,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_212,c_0_1185]),
    [final] ).

cnf(c_0_1459,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_5,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1014]),
    [final] ).

cnf(c_0_1460,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_5,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1014]),
    [final] ).

cnf(c_0_1461,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_5,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1014]),
    [final] ).

cnf(c_0_1462,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_1092,c_0_1202]),
    [final] ).

cnf(c_0_1463,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_1093,c_0_1202]),
    [final] ).

cnf(c_0_1464,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_1201,c_0_1202]),
    [final] ).

cnf(c_0_1465,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_2,e_4,e_1)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_1075,c_0_1202]),
    [final] ).

cnf(c_0_1466,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_5,X1)
    | ~ product(e_2,e_4,e_1)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1194,c_0_1026]),
    [final] ).

cnf(c_0_1467,negated_conjecture,
    ( ~ product(e_3,e_5,e_2)
    | product(e_1,e_2,e_4)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_86,c_0_1007]),
    [final] ).

cnf(c_0_1468,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_3,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1202]),
    [final] ).

cnf(c_0_1469,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1202]),
    [final] ).

cnf(c_0_1470,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1202]),
    [final] ).

cnf(c_0_1471,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_486,c_0_1202]),
    [final] ).

cnf(c_0_1472,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_212,c_0_1202]),
    [final] ).

cnf(c_0_1473,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1026]),
    [final] ).

cnf(c_0_1474,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1026]),
    [final] ).

cnf(c_0_1475,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1026]),
    [final] ).

cnf(c_0_1476,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_1203,c_0_1195]),
    [final] ).

cnf(c_0_1477,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_1204,c_0_1195]),
    [final] ).

cnf(c_0_1478,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_1069,c_0_1195]),
    [final] ).

cnf(c_0_1479,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_1092,c_0_1195]),
    [final] ).

cnf(c_0_1480,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_1093,c_0_1195]),
    [final] ).

cnf(c_0_1481,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_1201,c_0_1195]),
    [final] ).

cnf(c_0_1482,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_4,e_2,e_1)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_1075,c_0_1195]),
    [final] ).

cnf(c_0_1483,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_3,X1)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1195]),
    [final] ).

cnf(c_0_1484,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1195]),
    [final] ).

cnf(c_0_1485,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1195]),
    [final] ).

cnf(c_0_1486,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_486,c_0_1195]),
    [final] ).

cnf(c_0_1487,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_212,c_0_1195]),
    [final] ).

cnf(c_0_1488,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_2,e_3,e_5)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_1075,c_0_1205]),
    [final] ).

cnf(c_0_1489,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1092,c_0_1205]),
    [final] ).

cnf(c_0_1490,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1093,c_0_1205]),
    [final] ).

cnf(c_0_1491,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1201,c_0_1205]),
    [final] ).

cnf(c_0_1492,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_3,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1205]),
    [final] ).

cnf(c_0_1493,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1205]),
    [final] ).

cnf(c_0_1494,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1205]),
    [final] ).

cnf(c_0_1495,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_5,X1)
    | ~ product(e_2,e_3,e_5)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1194,c_0_1027]),
    [final] ).

cnf(c_0_1496,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_4,X1)
    | ~ product(e_1,e_2,e_5)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1206,c_0_1173]),
    [final] ).

cnf(c_0_1497,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_486,c_0_1205]),
    [final] ).

cnf(c_0_1498,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_212,c_0_1205]),
    [final] ).

cnf(c_0_1499,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1027]),
    [final] ).

cnf(c_0_1500,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1027]),
    [final] ).

cnf(c_0_1501,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1027]),
    [final] ).

cnf(c_0_1502,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_5,X1)
    | ~ product(e_1,e_2,e_5)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1194,c_0_1173]),
    [final] ).

cnf(c_0_1503,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_1,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1173]),
    [final] ).

cnf(c_0_1504,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_1,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1173]),
    [final] ).

cnf(c_0_1505,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_1,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1173]),
    [final] ).

cnf(c_0_1506,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_5,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_414,c_0_942]),
    [final] ).

cnf(c_0_1507,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_5,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_347,c_0_942]),
    [final] ).

cnf(c_0_1508,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1092,c_0_1207]),
    [final] ).

cnf(c_0_1509,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1093,c_0_1207]),
    [final] ).

cnf(c_0_1510,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1201,c_0_1207]),
    [final] ).

cnf(c_0_1511,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_3,e_4,e_2)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_1075,c_0_1207]),
    [final] ).

cnf(c_0_1512,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_3,X1)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1207]),
    [final] ).

cnf(c_0_1513,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1207]),
    [final] ).

cnf(c_0_1514,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1207]),
    [final] ).

cnf(c_0_1515,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_486,c_0_1207]),
    [final] ).

cnf(c_0_1516,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_1207]),
    [final] ).

cnf(c_0_1517,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_5,X1)
    | ~ product(e_3,e_4,e_2)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1194,c_0_1028]),
    [final] ).

cnf(c_0_1518,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_404,c_0_949]),
    [final] ).

cnf(c_0_1519,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_4)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_184,c_0_949]),
    [final] ).

cnf(c_0_1520,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_595,c_0_949]),
    [final] ).

cnf(c_0_1521,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1028]),
    [final] ).

cnf(c_0_1522,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1028]),
    [final] ).

cnf(c_0_1523,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1028]),
    [final] ).

cnf(c_0_1524,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1208]),
    [final] ).

cnf(c_0_1525,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_5,X1)
    | ~ product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1208]),
    [final] ).

cnf(c_0_1526,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,X1,e_5)
    | ~ product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1208]),
    [final] ).

cnf(c_0_1527,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_5,e_2,e_4)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_1075,c_0_1023]),
    [final] ).

cnf(c_0_1528,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1209]),
    [final] ).

cnf(c_0_1529,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_5,X1)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1209]),
    [final] ).

cnf(c_0_1530,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,X1,e_5)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1209]),
    [final] ).

cnf(c_0_1531,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1203,c_0_1023]),
    [final] ).

cnf(c_0_1532,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_1092,c_0_1067]),
    [final] ).

cnf(c_0_1533,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_1093,c_0_1067]),
    [final] ).

cnf(c_0_1534,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_1201,c_0_1067]),
    [final] ).

cnf(c_0_1535,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_3,X1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1067]),
    [final] ).

cnf(c_0_1536,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_4,X1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1067]),
    [final] ).

cnf(c_0_1537,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1067]),
    [final] ).

cnf(c_0_1538,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_4)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_486,c_0_1067]),
    [final] ).

cnf(c_0_1539,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1204,c_0_1023]),
    [final] ).

cnf(c_0_1540,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1069,c_0_1023]),
    [final] ).

cnf(c_0_1541,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1092,c_0_1023]),
    [final] ).

cnf(c_0_1542,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1093,c_0_1023]),
    [final] ).

cnf(c_0_1543,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1201,c_0_1023]),
    [final] ).

cnf(c_0_1544,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_1,e_3,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1210]),
    [final] ).

cnf(c_0_1545,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_1,e_4,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1210]),
    [final] ).

cnf(c_0_1546,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1210]),
    [final] ).

cnf(c_0_1547,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1210]),
    [final] ).

cnf(c_0_1548,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_1,e_3,X1)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_606,c_0_982]),
    [final] ).

cnf(c_0_1549,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_319,c_0_982]),
    [final] ).

cnf(c_0_1550,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1068]),
    [final] ).

cnf(c_0_1551,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1068]),
    [final] ).

cnf(c_0_1552,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_3,X1)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1023]),
    [final] ).

cnf(c_0_1553,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1023]),
    [final] ).

cnf(c_0_1554,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1023]),
    [final] ).

cnf(c_0_1555,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_486,c_0_1023]),
    [final] ).

cnf(c_0_1556,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_212,c_0_1023]),
    [final] ).

cnf(c_0_1557,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_1,e_5,X2)
    | ~ product(e_3,X1,e_3)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_385,c_0_1081]),
    [final] ).

cnf(c_0_1558,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_1,e_5,X2)
    | ~ product(e_3,X1,e_4)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_240,c_0_1081]),
    [final] ).

cnf(c_0_1559,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1098]),
    [final] ).

cnf(c_0_1560,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_5,X1)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1098]),
    [final] ).

cnf(c_0_1561,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,X1,e_5)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1098]),
    [final] ).

cnf(c_0_1562,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_1,e_5,X2)
    | ~ product(e_3,X1,e_5)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_204,c_0_1081]),
    [final] ).

cnf(c_0_1563,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_404,c_0_901]),
    [final] ).

cnf(c_0_1564,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_3)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_306,c_0_901]),
    [final] ).

cnf(c_0_1565,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_184,c_0_901]),
    [final] ).

cnf(c_0_1566,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_595,c_0_901]),
    [final] ).

cnf(c_0_1567,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_3)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_306,c_0_886]),
    [final] ).

cnf(c_0_1568,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_4)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_184,c_0_886]),
    [final] ).

cnf(c_0_1569,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_5)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_595,c_0_886]),
    [final] ).

cnf(c_0_1570,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_1090,c_0_1185]),
    [final] ).

cnf(c_0_1571,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_5,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_780,c_0_1185]),
    [final] ).

cnf(c_0_1572,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_5,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_1014]),
    [final] ).

cnf(c_0_1573,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_780,c_0_1202]),
    [final] ).

cnf(c_0_1574,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_1026]),
    [final] ).

cnf(c_0_1575,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_780,c_0_1195]),
    [final] ).

cnf(c_0_1576,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_780,c_0_1205]),
    [final] ).

cnf(c_0_1577,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_1027]),
    [final] ).

cnf(c_0_1578,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_1,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_1173]),
    [final] ).

cnf(c_0_1579,negated_conjecture,
    ( ~ product(e_5,e_3,e_1)
    | product(e_5,e_2,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1211,c_0_1185]),c_0_947])]),
    [final] ).

cnf(c_0_1580,negated_conjecture,
    ( ~ product(e_5,e_3,e_1)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1212,c_0_1185]),
    [final] ).

cnf(c_0_1581,negated_conjecture,
    ( ~ product(e_5,e_3,e_1)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_1103,c_0_1185]),
    [final] ).

cnf(c_0_1582,negated_conjecture,
    ( ~ product(e_5,e_3,e_1)
    | ~ product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1022,c_0_1185]),
    [final] ).

cnf(c_0_1583,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_5,X2)
    | ~ product(e_4,X1,e_4)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_486,c_0_875]),
    [final] ).

cnf(c_0_1584,negated_conjecture,
    ( ~ product(e_5,e_3,e_1)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_123,c_0_1185]),
    [final] ).

cnf(c_0_1585,negated_conjecture,
    ( ~ product(e_5,e_3,e_1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1073,c_0_1210]),
    [final] ).

cnf(c_0_1586,negated_conjecture,
    ( ~ product(e_5,e_3,e_1)
    | product(e_2,e_3,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1213,c_0_1014]),c_0_814]),
    [final] ).

cnf(c_0_1587,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_5,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1214,c_0_1215]),
    [final] ).

cnf(c_0_1588,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_5,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_1214,c_0_1084]),
    [final] ).

cnf(c_0_1589,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_5,X2)
    | ~ product(e_4,X1,e_5)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_875]),
    [final] ).

cnf(c_0_1590,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_5,X1)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_1214,c_0_1216]),
    [final] ).

cnf(c_0_1591,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_5,X1)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1090,c_0_1207]),
    [final] ).

cnf(c_0_1592,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_5,e_3,X1)
    | product(e_1,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1217,c_0_949]),c_0_919]),c_0_918]),
    [final] ).

cnf(c_0_1593,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_780,c_0_1207]),
    [final] ).

cnf(c_0_1594,negated_conjecture,
    ( ~ product(e_5,e_2,e_1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_1218,c_0_1219]),
    [final] ).

cnf(c_0_1595,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_1028]),
    [final] ).

cnf(c_0_1596,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_4,X1)
    | ~ product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1220,c_0_1208]),
    [final] ).

cnf(c_0_1597,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_1,X1)
    | ~ product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1221,c_0_1208]),
    [final] ).

cnf(c_0_1598,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_4,X1)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1220,c_0_1209]),
    [final] ).

cnf(c_0_1599,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_1,X1)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1221,c_0_1209]),
    [final] ).

cnf(c_0_1600,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_948,c_0_1222]),
    [final] ).

cnf(c_0_1601,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_2,e_5,X1)
    | product(e_5,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1223,c_0_1067]),c_0_946]),
    [final] ).

cnf(c_0_1602,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_780,c_0_1067]),
    [final] ).

cnf(c_0_1603,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_1210]),
    [final] ).

cnf(c_0_1604,negated_conjecture,
    ( ~ product(e_4,e_2,e_1)
    | ~ product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_1099,c_0_1195]),
    [final] ).

cnf(c_0_1605,plain,
    ( ~ product(e_2,e_3,e_5)
    | ~ product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_61,c_0_1027]),
    [final] ).

cnf(c_0_1606,negated_conjecture,
    ( ~ product(e_1,e_2,e_5)
    | product(e_2,e_3,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1213,c_0_1173]),c_0_814]),
    [final] ).

cnf(c_0_1607,plain,
    ( ~ product(e_1,e_2,e_5)
    | ~ product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_61,c_0_1173]),
    [final] ).

cnf(c_0_1608,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_780,c_0_1023]),
    [final] ).

cnf(c_0_1609,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_5,X1)
    | product(e_5,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1224,c_0_1068]),c_0_946]),
    [final] ).

cnf(c_0_1610,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_2,X1)
    | product(e_5,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1095,c_0_1068]),c_0_946]),
    [final] ).

cnf(c_0_1611,negated_conjecture,
    ( ~ product(e_5,e_2,e_1)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1225,c_0_1219]),
    [final] ).

cnf(c_0_1612,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_4,X1)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1220,c_0_1098]),
    [final] ).

cnf(c_0_1613,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_1,X1)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1221,c_0_1098]),
    [final] ).

cnf(c_0_1614,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_1068]),
    [final] ).

cnf(c_0_1615,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_1226]),
    [final] ).

cnf(c_0_1616,negated_conjecture,
    ( ~ product(e_1,e_5,X1)
    | ~ product(e_4,e_1,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1227,c_0_1081]),
    [final] ).

cnf(c_0_1617,negated_conjecture,
    ( ~ product(e_1,e_5,X1)
    | ~ product(e_5,e_2,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1097,c_0_1081]),
    [final] ).

cnf(c_0_1618,negated_conjecture,
    ( ~ product(e_1,e_5,X1)
    | ~ product(e_3,e_3,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_354,c_0_1081]),
    [final] ).

cnf(c_0_1619,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_948,c_0_901]),
    [final] ).

cnf(c_0_1620,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_4,e_1,X1)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1227,c_0_886]),
    [final] ).

cnf(c_0_1621,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_4,e_4,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_413,c_0_875]),
    [final] ).

cnf(c_0_1622,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_2,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1228,c_0_875]),
    [final] ).

cnf(c_0_1623,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_2,e_3,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_708,c_0_875]),
    [final] ).

cnf(c_0_1624,negated_conjecture,
    ( ~ product(e_1,e_5,e_4)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1229,c_0_854]),c_0_924]),
    [final] ).

cnf(c_0_1625,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_2,X1)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1097,c_0_886]),
    [final] ).

cnf(c_0_1626,negated_conjecture,
    ( ~ product(e_4,e_2,e_1)
    | ~ product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1083,c_0_1216]),
    [final] ).

cnf(c_0_1627,negated_conjecture,
    ( ~ product(e_3,e_5,e_2)
    | ~ product(e_2,e_3,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1091,c_0_1208]),c_0_801])]),
    [final] ).

cnf(c_0_1628,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1203,c_0_1070]),
    [final] ).

cnf(c_0_1629,negated_conjecture,
    ( ~ product(e_2,e_3,e_5)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1230,c_0_1215]),
    [final] ).

cnf(c_0_1630,negated_conjecture,
    ( ~ product(e_2,e_4,e_1)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1230,c_0_1084]),
    [final] ).

cnf(c_0_1631,negated_conjecture,
    ( ~ product(e_3,e_4,e_2)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1230,c_0_1190]),
    [final] ).

cnf(c_0_1632,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1204,c_0_1070]),
    [final] ).

cnf(c_0_1633,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_3,e_3,X1)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_354,c_0_886]),
    [final] ).

cnf(c_0_1634,negated_conjecture,
    ( ~ product(e_4,e_2,e_1)
    | ~ product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1231,c_0_1216]),
    [final] ).

cnf(c_0_1635,negated_conjecture,
    ( ~ product(e_1,e_2,e_4)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_151,c_0_1068]),
    [final] ).

cnf(c_0_1636,negated_conjecture,
    ( ~ product(e_1,e_2,e_4)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_151,c_0_1226]),
    [final] ).

cnf(c_0_1637,negated_conjecture,
    ( ~ product(e_2,e_4,e_5)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_989,c_0_901]),
    [final] ).

cnf(c_0_1638,negated_conjecture,
    ( ~ product(e_2,e_4,e_5)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_157,c_0_886]),
    [final] ).

cnf(c_0_1639,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_3,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1070]),
    [final] ).

cnf(c_0_1640,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_4,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1070]),
    [final] ).

cnf(c_0_1641,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1070]),
    [final] ).

cnf(c_0_1642,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_4)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_486,c_0_1070]),
    [final] ).

cnf(c_0_1643,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_5,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1090,c_0_1070]),
    [final] ).

cnf(c_0_1644,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_2,e_5,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1232,c_0_1070]),
    [final] ).

cnf(c_0_1645,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_780,c_0_1070]),
    [final] ).

cnf(c_0_1646,negated_conjecture,
    ( ~ product(e_5,e_2,e_1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1233,c_0_1219]),
    [final] ).

cnf(c_0_1647,negated_conjecture,
    ( ~ product(e_4,e_2,e_3)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_123,c_0_1070]),
    [final] ).

cnf(c_0_1648,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_404,c_0_1234]),
    [final] ).

cnf(c_0_1649,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_3)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_306,c_0_1234]),
    [final] ).

cnf(c_0_1650,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_184,c_0_1234]),
    [final] ).

cnf(c_0_1651,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_595,c_0_1234]),
    [final] ).

cnf(c_0_1652,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_3)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_306,c_0_1100]),
    [final] ).

cnf(c_0_1653,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_4)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_184,c_0_1100]),
    [final] ).

cnf(c_0_1654,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_3,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_606,c_0_854]),
    [final] ).

cnf(c_0_1655,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_5)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_595,c_0_1100]),
    [final] ).

cnf(c_0_1656,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_4,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_247,c_0_854]),
    [final] ).

cnf(c_0_1657,negated_conjecture,
    ( ~ product(e_5,e_5,X1)
    | ~ product(e_4,e_2,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1235,c_0_62]),
    [final] ).

cnf(c_0_1658,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_948,c_0_1234]),
    [final] ).

cnf(c_0_1659,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_4,e_1,X1)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_1227,c_0_1100]),
    [final] ).

cnf(c_0_1660,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_2,X1)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_1097,c_0_1100]),
    [final] ).

cnf(c_0_1661,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_3,e_3,X1)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_354,c_0_1100]),
    [final] ).

cnf(c_0_1662,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_5,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_319,c_0_854]),
    [final] ).

cnf(c_0_1663,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_2,e_1,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1221,c_0_854]),
    [final] ).

cnf(c_0_1664,negated_conjecture,
    ( ~ product(e_2,e_3,e_1)
    | ~ product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_727,c_0_1234]),
    [final] ).

cnf(c_0_1665,negated_conjecture,
    ( ~ product(e_4,e_5,e_1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1236,c_0_854]),
    [final] ).

cnf(c_0_1666,negated_conjecture,
    ( ~ product(e_4,e_2,e_5)
    | product(e_3,e_5,e_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_854]),c_0_62])]),
    [final] ).

cnf(c_0_1667,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_1010]),
    [final] ).

cnf(c_0_1668,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_2,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1095,c_0_1035]),c_0_1119]),c_0_1105]),
    [final] ).

cnf(c_0_1669,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_2,e_4,X1)
    | product(e_3,e_4,e_2)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1237,c_0_720]),
    [final] ).

cnf(c_0_1670,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1238]),
    [final] ).

cnf(c_0_1671,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_5,X1)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1238]),
    [final] ).

cnf(c_0_1672,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_4,X1)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_1220,c_0_1238]),
    [final] ).

cnf(c_0_1673,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_1,X1)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_1221,c_0_1238]),
    [final] ).

cnf(c_0_1674,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,X1,e_5)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1238]),
    [final] ).

cnf(c_0_1675,negated_conjecture,
    ( ~ product(e_3,e_4,e_1)
    | ~ product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_151,c_0_1238]),
    [final] ).

cnf(c_0_1676,negated_conjecture,
    ( ~ product(e_4,e_5,e_1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_957,c_0_1101]),
    [final] ).

cnf(c_0_1677,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_1,e_3,X1)
    | product(e_5,e_3,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1239,c_0_1190]),c_0_1082]),
    [final] ).

cnf(c_0_1678,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_1,e_3,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1239,c_0_1240]),c_0_1105]),
    [final] ).

cnf(c_0_1679,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_1,e_3,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1239,c_0_1241]),c_0_1096]),
    [final] ).

cnf(c_0_1680,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_4,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1101]),
    [final] ).

cnf(c_0_1681,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_5,X1)
    | ~ product(e_4,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1101]),
    [final] ).

cnf(c_0_1682,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,X1,e_5)
    | ~ product(e_4,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1101]),
    [final] ).

cnf(c_0_1683,negated_conjecture,
    ( ~ product(e_5,e_2,e_1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_957,c_0_1219]),
    [final] ).

cnf(c_0_1684,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_414,c_0_988]),
    [final] ).

cnf(c_0_1685,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_5,X1)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_347,c_0_988]),
    [final] ).

cnf(c_0_1686,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,X1,e_5)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_988]),
    [final] ).

cnf(c_0_1687,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_4,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1034]),
    [final] ).

cnf(c_0_1688,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_5,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1034]),
    [final] ).

cnf(c_0_1689,negated_conjecture,
    ( ~ product(e_5,e_5,X1)
    | ~ product(e_4,e_3,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1242,c_0_62]),
    [final] ).

cnf(c_0_1690,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_1,e_3,X2)
    | ~ product(e_5,e_4,X1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_414,c_0_952]),
    [final] ).

cnf(c_0_1691,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_1,e_3,X2)
    | ~ product(e_5,e_5,X1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_347,c_0_952]),
    [final] ).

cnf(c_0_1692,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_5,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1219]),
    [final] ).

cnf(c_0_1693,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_5,X1)
    | ~ product(e_5,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1219]),
    [final] ).

cnf(c_0_1694,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,X1,e_5)
    | ~ product(e_5,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1219]),
    [final] ).

cnf(c_0_1695,negated_conjecture,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_1,e_3,X2)
    | ~ product(e_5,X1,e_2)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_209,c_0_952]),
    [final] ).

cnf(c_0_1696,negated_conjecture,
    ( ~ product(e_3,e_4,X1)
    | ~ product(e_1,e_3,X1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_1243,c_0_821]),
    [final] ).

cnf(c_0_1697,negated_conjecture,
    ( ~ product(e_5,e_5,X1)
    | ~ product(e_1,e_3,X1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_1244,c_0_62]),
    [final] ).

cnf(c_0_1698,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_4,X1)
    | ~ product(e_4,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_1220,c_0_1101]),
    [final] ).

cnf(c_0_1699,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_1,X1)
    | ~ product(e_4,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_1221,c_0_1101]),
    [final] ).

cnf(c_0_1700,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_3,e_4,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1220,c_0_1215]),
    [final] ).

cnf(c_0_1701,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_3,e_4,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_1220,c_0_1084]),
    [final] ).

cnf(c_0_1702,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_3,e_4,X1)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_1220,c_0_1216]),
    [final] ).

cnf(c_0_1703,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_3,e_4,X1)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1220,c_0_1190]),
    [final] ).

cnf(c_0_1704,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_4,X1)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_1220,c_0_988]),
    [final] ).

cnf(c_0_1705,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_4,X1)
    | ~ product(e_5,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_1220,c_0_1219]),
    [final] ).

cnf(c_0_1706,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_4,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1220,c_0_1034]),
    [final] ).

cnf(c_0_1707,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_1,X1)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_1221,c_0_988]),
    [final] ).

cnf(c_0_1708,negated_conjecture,
    ( ~ product(e_3,e_4,e_2)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_853,c_0_1190]),
    [final] ).

cnf(c_0_1709,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_1,X1)
    | ~ product(e_5,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_1221,c_0_1219]),
    [final] ).

cnf(c_0_1710,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_1,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1221,c_0_1034]),
    [final] ).

cnf(c_0_1711,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | ~ product(e_2,e_1,X1)
    | product(e_5,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_1245,c_0_952]),
    [final] ).

cnf(c_0_1712,negated_conjecture,
    ( ~ product(e_2,e_4,e_1)
    | ~ product(e_4,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_1236,c_0_1084]),
    [final] ).

cnf(c_0_1713,negated_conjecture,
    ( ~ product(e_3,e_4,e_2)
    | ~ product(e_4,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_1236,c_0_1190]),
    [final] ).

cnf(c_0_1714,negated_conjecture,
    ( ~ product(e_4,e_5,e_1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1246,c_0_1101]),
    [final] ).

cnf(c_0_1715,negated_conjecture,
    ( ~ product(e_4,e_5,e_1)
    | ~ product(e_2,e_3,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1091,c_0_1101]),c_0_801])]),
    [final] ).

cnf(c_0_1716,plain,
    ( ~ product(e_4,e_2,e_1)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_1033,c_0_1216]),
    [final] ).

cnf(c_0_1717,negated_conjecture,
    ( ~ product(e_3,e_4,e_2)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_1033,c_0_1190]),
    [final] ).

cnf(c_0_1718,negated_conjecture,
    ( ~ product(e_2,e_3,e_1)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_1105,c_0_988]),
    [final] ).

cnf(c_0_1719,negated_conjecture,
    ( ~ product(e_2,e_3,e_1)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_1096,c_0_988]),
    [final] ).

cnf(c_0_1720,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_4,X2)
    | ~ product(e_5,e_5,X1) ),
    inference(spm,[status(thm)],[c_0_404,c_0_821]),
    [final] ).

cnf(c_0_1721,negated_conjecture,
    ( ~ product(e_5,e_2,e_1)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_1105,c_0_1219]),
    [final] ).

cnf(c_0_1722,negated_conjecture,
    ( ~ product(e_5,e_2,e_1)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_1096,c_0_1219]),
    [final] ).

cnf(c_0_1723,negated_conjecture,
    ( ~ product(e_5,e_2,e_1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1246,c_0_1219]),
    [final] ).

cnf(c_0_1724,negated_conjecture,
    ( ~ product(e_5,e_2,e_1)
    | ~ product(e_2,e_3,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1091,c_0_1219]),c_0_801])]),
    [final] ).

cnf(c_0_1725,plain,
    ( ~ product(e_5,e_2,e_4)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_151,c_0_1034]),
    [final] ).

cnf(c_0_1726,negated_conjecture,
    ( ~ product(e_5,e_5,X1)
    | ~ product(e_3,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_1247,c_0_62]),
    [final] ).

cnf(c_0_1727,negated_conjecture,
    ( ~ product(e_3,e_4,X1)
    | ~ product(e_2,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_1248,c_0_821]),
    [final] ).

cnf(c_0_1728,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_3,e_4,X1)
    | product(e_3,e_5,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1249,c_0_1190]),c_0_789]),
    [final] ).

cnf(c_0_1729,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_3,X1)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1190]),
    [final] ).

cnf(c_0_1730,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1190]),
    [final] ).

cnf(c_0_1731,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_5,X1)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1190]),
    [final] ).

cnf(c_0_1732,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,X1,e_5)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1190]),
    [final] ).

cnf(c_0_1733,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_3,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1215]),
    [final] ).

cnf(c_0_1734,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1215]),
    [final] ).

cnf(c_0_1735,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_5,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1215]),
    [final] ).

cnf(c_0_1736,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,X1,e_5)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1215]),
    [final] ).

cnf(c_0_1737,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_3,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1084]),
    [final] ).

cnf(c_0_1738,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1084]),
    [final] ).

cnf(c_0_1739,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_1,e_2,X2)
    | ~ product(e_5,e_3,X1)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1025]),
    [final] ).

cnf(c_0_1740,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_5,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1084]),
    [final] ).

cnf(c_0_1741,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,X1,e_5)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1084]),
    [final] ).

cnf(c_0_1742,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_1,e_2,X2)
    | ~ product(e_5,e_4,X1)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1025]),
    [final] ).

cnf(c_0_1743,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_1,e_2,X2)
    | ~ product(e_5,e_5,X1)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1025]),
    [final] ).

cnf(c_0_1744,negated_conjecture,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_1,e_2,X2)
    | ~ product(e_5,X1,e_2)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_209,c_0_1025]),
    [final] ).

cnf(c_0_1745,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_1,e_2,X2)
    | ~ product(e_5,X1,e_3)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_385,c_0_1025]),
    [final] ).

cnf(c_0_1746,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_1,e_2,X1)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1250,c_0_772]),
    [final] ).

cnf(c_0_1747,negated_conjecture,
    ( ~ product(e_5,e_5,X1)
    | ~ product(e_1,e_2,X1)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1251,c_0_62]),
    [final] ).

cnf(c_0_1748,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_3,X1)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1216]),
    [final] ).

cnf(c_0_1749,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1216]),
    [final] ).

cnf(c_0_1750,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_5,X1)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1216]),
    [final] ).

cnf(c_0_1751,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,X1,e_5)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1216]),
    [final] ).

cnf(c_0_1752,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_2,e_1,X1)
    | ~ product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1221,c_0_1190]),
    [final] ).

cnf(c_0_1753,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_3,e_1,X1)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_1252,c_0_1043]),
    [final] ).

cnf(c_0_1754,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_3,e_1,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1252,c_0_571]),
    [final] ).

cnf(c_0_1755,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_2,e_1,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1221,c_0_1215]),
    [final] ).

cnf(c_0_1756,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_2,e_1,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_1253,c_0_1084]),
    [final] ).

cnf(c_0_1757,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_2,e_1,X1)
    | ~ product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_1253,c_0_1216]),
    [final] ).

cnf(c_0_1758,negated_conjecture,
    ( ~ product(e_2,e_3,e_1)
    | ~ product(e_4,e_2,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_1254]),c_0_62])]),
    [final] ).

cnf(c_0_1759,negated_conjecture,
    ( ~ product(e_4,e_4,e_1)
    | ~ product(e_4,e_2,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_1255]),c_0_62])]),
    [final] ).

cnf(c_0_1760,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_1,X1)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1245,c_0_772]),
    [final] ).

cnf(c_0_1761,negated_conjecture,
    ( ~ product(e_3,e_4,e_2)
    | ~ product(e_4,e_1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1074,c_0_1190]),c_0_644])]),
    [final] ).

cnf(c_0_1762,negated_conjecture,
    ( ~ product(e_3,e_4,e_2)
    | ~ product(e_4,e_2,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_1190]),c_0_62])]),
    [final] ).

cnf(c_0_1763,negated_conjecture,
    ( ~ product(e_3,e_4,X1)
    | ~ product(e_1,e_2,X1)
    | product(e_5,e_2,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1256,c_0_1017]),c_0_984]),
    [final] ).

cnf(c_0_1764,negated_conjecture,
    ( ~ product(e_3,e_1,X1)
    | ~ product(e_1,e_4,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1257,c_0_947]),
    [final] ).

cnf(c_0_1765,negated_conjecture,
    ( ~ product(e_2,e_2,X1)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_1258,c_0_62]),
    [final] ).

cnf(c_0_1766,negated_conjecture,
    ( ~ product(e_3,e_1,X1)
    | ~ product(e_1,e_3,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1259,c_0_947]),
    [final] ).

cnf(c_0_1767,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_1,X2)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_249,c_0_947]),
    [final] ).

cnf(c_0_1768,negated_conjecture,
    ( ~ product(e_4,e_5,X1)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_1260,c_0_763]),
    [final] ).

cnf(c_0_1769,negated_conjecture,
    ( ~ product(e_2,e_3,e_5)
    | ~ product(e_4,e_1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1074,c_0_1215]),c_0_644])]),
    [final] ).

cnf(c_0_1770,negated_conjecture,
    ( ~ product(e_2,e_3,e_5)
    | ~ product(e_3,e_4,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1261,c_0_1215]),c_0_644]),c_0_763])]),
    [final] ).

cnf(c_0_1771,negated_conjecture,
    ( ~ product(e_2,e_3,e_5)
    | ~ product(e_4,e_2,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_1215]),c_0_62])]),
    [final] ).

cnf(c_0_1772,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_1,X2)
    | ~ product(e_2,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_486,c_0_947]),
    [final] ).

cnf(c_0_1773,negated_conjecture,
    ( ~ product(e_2,e_4,e_1)
    | ~ product(e_4,e_1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1074,c_0_1084]),c_0_644])]),
    [final] ).

cnf(c_0_1774,negated_conjecture,
    ( ~ product(e_2,e_4,e_1)
    | ~ product(e_4,e_2,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_1084]),c_0_62])]),
    [final] ).

cnf(c_0_1775,negated_conjecture,
    ( ~ product(e_4,e_2,e_1)
    | product(e_2,e_3,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1061,c_0_1216]),c_0_644]),c_0_763])]),
    [final] ).

cnf(c_0_1776,negated_conjecture,
    ( ~ product(e_4,e_2,e_1)
    | ~ product(e_4,e_1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1074,c_0_1216]),c_0_644])]),
    [final] ).

cnf(c_0_1777,negated_conjecture,
    ( ~ product(e_4,e_2,e_1)
    | ~ product(e_3,e_4,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1261,c_0_1216]),c_0_644]),c_0_763])]),
    [final] ).

cnf(c_0_1778,negated_conjecture,
    ( ~ product(e_4,e_2,e_1)
    | product(e_3,e_4,e_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_1216]),c_0_644]),c_0_763])]),
    [final] ).

cnf(c_0_1779,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_1,X2)
    | ~ product(e_5,X1,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1262,c_0_947])]),
    [final] ).

cnf(c_0_1780,negated_conjecture,
    ( ~ product(e_5,e_5,X1)
    | ~ product(e_2,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_1263,c_0_62]),
    [final] ).

cnf(c_0_1781,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_2,e_1,X2)
    | ~ product(e_5,e_4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1264,c_0_947])]),
    [final] ).

cnf(c_0_1782,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_4,e_2,X1)
    | product(e_3,e_4,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1265,c_0_1112]),c_0_1266]),
    [final] ).

cnf(c_0_1783,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_3,e_5,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_404,c_0_1199]),
    [final] ).

cnf(c_0_1784,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_3,X1,e_3)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_306,c_0_1199]),
    [final] ).

cnf(c_0_1785,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_3,X1,e_4)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_184,c_0_1199]),
    [final] ).

cnf(c_0_1786,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_3,X1,e_5)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_595,c_0_1199]),
    [final] ).

cnf(c_0_1787,negated_conjecture,
    ( ~ product(e_2,e_3,e_5)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1159,c_0_1199]),c_0_670])]),
    [final] ).

cnf(c_0_1788,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_4,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1082]),
    [final] ).

cnf(c_0_1789,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_5,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1082]),
    [final] ).

cnf(c_0_1790,negated_conjecture,
    ( ~ product(e_5,e_5,X1)
    | ~ product(e_4,e_3,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1267,c_0_62]),
    [final] ).

cnf(c_0_1791,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_4,e_1,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_805,c_0_1199]),
    [final] ).

cnf(c_0_1792,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_5,e_2,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1268,c_0_1199]),
    [final] ).

cnf(c_0_1793,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_3,e_3,X1)
    | ~ product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_425,c_0_1199]),
    [final] ).

cnf(c_0_1794,negated_conjecture,
    ( ~ product(e_2,e_4,e_1)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1159,c_0_983]),c_0_670])]),
    [final] ).

cnf(c_0_1795,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_3,e_5,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_404,c_0_983]),
    [final] ).

cnf(c_0_1796,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_3,X1,e_3)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_306,c_0_983]),
    [final] ).

cnf(c_0_1797,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_3,X1,e_4)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_184,c_0_983]),
    [final] ).

cnf(c_0_1798,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1269,c_0_803]),
    [final] ).

cnf(c_0_1799,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1270,c_0_803]),
    [final] ).

cnf(c_0_1800,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_1,e_4,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1271,c_0_789]),
    [final] ).

cnf(c_0_1801,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_1,X1)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1272,c_0_1082]),c_0_799]),
    [final] ).

cnf(c_0_1802,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_1,e_4,X2)
    | ~ product(e_3,e_5,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_404,c_0_803]),
    [final] ).

cnf(c_0_1803,negated_conjecture,
    ( ~ product(e_3,e_4,X1)
    | ~ product(e_4,e_3,X1)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1273,c_0_817]),c_0_799]),
    [final] ).

cnf(c_0_1804,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_4,e_1,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_805,c_0_983]),
    [final] ).

cnf(c_0_1805,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_948,c_0_1112]),
    [final] ).

cnf(c_0_1806,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | ~ product(e_4,e_1,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_805,c_0_803]),
    [final] ).

cnf(c_0_1807,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | ~ product(e_5,e_2,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1268,c_0_803]),
    [final] ).

cnf(c_0_1808,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | ~ product(e_3,e_3,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_425,c_0_803]),
    [final] ).

cnf(c_0_1809,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_5,e_2,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_1268,c_0_983]),
    [final] ).

cnf(c_0_1810,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_3,e_3,X1)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_425,c_0_983]),
    [final] ).

cnf(c_0_1811,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_1,e_4,X2)
    | ~ product(e_3,X1,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_385,c_0_803]),
    [final] ).

cnf(c_0_1812,negated_conjecture,
    ( ~ product(e_5,e_2,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_151,c_0_1082]),
    [final] ).

cnf(c_0_1813,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_1,e_4,X2)
    | ~ product(e_3,X1,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_240,c_0_803]),
    [final] ).

cnf(c_0_1814,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_1,e_4,X2)
    | ~ product(e_3,X1,e_5)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_204,c_0_803]),
    [final] ).

cnf(c_0_1815,negated_conjecture,
    ( ~ product(e_5,e_5,e_1)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1274,c_0_803]),c_0_799]),
    [final] ).

cnf(c_0_1816,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | ~ product(e_4,e_2,X1)
    | product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1275,c_0_758]),c_0_1276]),c_0_1246]),
    [final] ).

cnf(c_0_1817,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_3,e_4,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1277,c_0_1240]),c_0_536]),c_0_1278]),
    [final] ).

cnf(c_0_1818,negated_conjecture,
    ( ~ product(e_1,e_5,e_5)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_4,e_1,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1279,c_0_156]),c_0_1280]),
    [final] ).

cnf(c_0_1819,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_3,X1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1281,c_0_1066]),
    [final] ).

cnf(c_0_1820,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_4,X1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1282,c_0_1066]),
    [final] ).

cnf(c_0_1821,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1283,c_0_1066]),
    [final] ).

cnf(c_0_1822,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1284,c_0_1066]),
    [final] ).

cnf(c_0_1823,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_3,e_4,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1277,c_0_1241]),c_0_863]),c_0_1285]),
    [final] ).

cnf(c_0_1824,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_3,e_5,e_1)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_1075,c_0_1286]),
    [final] ).

cnf(c_0_1825,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_2,e_5,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1232,c_0_1286]),c_0_536]),
    [final] ).

cnf(c_0_1826,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_3,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1286]),
    [final] ).

cnf(c_0_1827,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1286]),
    [final] ).

cnf(c_0_1828,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1286]),
    [final] ).

cnf(c_0_1829,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_486,c_0_1286]),
    [final] ).

cnf(c_0_1830,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_212,c_0_1286]),
    [final] ).

cnf(c_0_1831,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_2,e_1,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1054,c_0_1240]),c_0_1278]),
    [final] ).

cnf(c_0_1832,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_3,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1240]),
    [final] ).

cnf(c_0_1833,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1240]),
    [final] ).

cnf(c_0_1834,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_5,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1240]),
    [final] ).

cnf(c_0_1835,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,X1,e_5)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1240]),
    [final] ).

cnf(c_0_1836,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_5,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1031,c_0_1035]),c_0_536]),
    [final] ).

cnf(c_0_1837,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_414,c_0_1035]),
    [final] ).

cnf(c_0_1838,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_780,c_0_1286]),
    [final] ).

cnf(c_0_1839,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_347,c_0_1035]),
    [final] ).

cnf(c_0_1840,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_1035]),
    [final] ).

cnf(c_0_1841,negated_conjecture,
    ( ~ product(e_3,e_5,e_1)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_123,c_0_1286]),
    [final] ).

cnf(c_0_1842,negated_conjecture,
    ( ~ product(e_3,e_5,e_1)
    | product(e_3,e_4,e_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_1240]),c_0_644]),c_0_763])]),
    [final] ).

cnf(c_0_1843,negated_conjecture,
    ( ~ product(e_3,e_5,e_1)
    | ~ product(e_4,e_1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1074,c_0_1240]),c_0_644])]),
    [final] ).

cnf(c_0_1844,negated_conjecture,
    ( ~ product(e_3,e_5,e_1)
    | ~ product(e_4,e_2,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_1240]),c_0_62])]),
    [final] ).

cnf(c_0_1845,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1035]),
    [final] ).

cnf(c_0_1846,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_2,e_5,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1232,c_0_1004]),c_0_863]),
    [final] ).

cnf(c_0_1847,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_2,e_1,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1054,c_0_1241]),c_0_1285]),
    [final] ).

cnf(c_0_1848,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_2,e_5,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1031,c_0_936]),c_0_863]),
    [final] ).

cnf(c_0_1849,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_3,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1241]),
    [final] ).

cnf(c_0_1850,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_4,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1241]),
    [final] ).

cnf(c_0_1851,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_5,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1241]),
    [final] ).

cnf(c_0_1852,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,X1,e_5)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_138,c_0_1241]),
    [final] ).

cnf(c_0_1853,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_414,c_0_936]),
    [final] ).

cnf(c_0_1854,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_347,c_0_936]),
    [final] ).

cnf(c_0_1855,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_936]),
    [final] ).

cnf(c_0_1856,negated_conjecture,
    ( ~ product(e_4,e_5,e_3)
    | ~ product(e_4,e_1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1074,c_0_1241]),c_0_644])]),
    [final] ).

cnf(c_0_1857,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_138,c_0_936]),
    [final] ).

cnf(c_0_1858,negated_conjecture,
    ( ~ product(e_4,e_5,e_3)
    | product(e_3,e_4,e_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_1241]),c_0_644]),c_0_763])]),
    [final] ).

cnf(c_0_1859,negated_conjecture,
    ( ~ product(e_4,e_5,e_3)
    | ~ product(e_4,e_2,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_1241]),c_0_62])]),
    [final] ).

cnf(c_0_1860,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_3,e_4,X1)
    | ~ product(e_4,e_5,e_4)
    | product(e_5,e_3,e_4)
    | product(e_5,e_3,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1287,c_0_1288]),c_0_831]),
    [final] ).

cnf(c_0_1861,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_4,e_1,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_805,c_0_402]),
    [final] ).

cnf(c_0_1862,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_4,e_1,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1227,c_0_610]),
    [final] ).

cnf(c_0_1863,negated_conjecture,
    ( ~ product(e_5,e_4,e_4)
    | product(e_2,e_3,e_5)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_1289,c_0_801]),
    [final] ).

cnf(c_0_1864,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_4,e_1,X1)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_1227,c_0_1110]),
    [final] ).

cnf(c_0_1865,negated_conjecture,
    ( ~ product(e_5,e_2,X1)
    | ~ product(e_4,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_1290,c_0_644]),
    [final] ).

cnf(c_0_1866,negated_conjecture,
    ( ~ product(e_3,e_3,X1)
    | ~ product(e_4,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_1291,c_0_62]),
    [final] ).

cnf(c_0_1867,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_4,X1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_414,c_0_844]),
    [final] ).

cnf(c_0_1868,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_5,X1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_347,c_0_844]),
    [final] ).

cnf(c_0_1869,negated_conjecture,
    ( ~ product(e_5,e_5,X1)
    | ~ product(e_4,e_3,X1)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_1292,c_0_62]),
    [final] ).

cnf(c_0_1870,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_5,e_5,X1)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_347,c_0_772]),
    [final] ).

cnf(c_0_1871,negated_conjecture,
    ( ~ product(e_5,e_5,X1)
    | ~ product(e_4,e_3,X1)
    | product(e_5,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_1293,c_0_62]),
    [final] ).

cnf(c_0_1872,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_2,e_1,X1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1294,c_0_1042]),
    [final] ).

cnf(c_0_1873,negated_conjecture,
    ( ~ product(e_3,e_4,X1)
    | ~ product(e_4,e_2,X1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1295,c_0_1121]),
    [final] ).

cnf(c_0_1874,negated_conjecture,
    ( ~ product(e_2,e_3,e_1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1296,c_0_1043]),
    [final] ).

cnf(c_0_1875,negated_conjecture,
    ( ~ product(e_4,e_2,e_5)
    | product(e_5,e_4,e_4)
    | product(e_2,e_3,e_5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1297,c_0_571]),c_0_1062]),
    [final] ).

cnf(c_0_1876,negated_conjecture,
    ( ~ product(e_4,e_2,e_5)
    | product(e_3,e_4,e_3)
    | product(e_2,e_3,e_5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1298,c_0_571]),c_0_1062]),
    [final] ).

cnf(c_0_1877,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_2,e_4,X1)
    | product(e_2,e_3,e_5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1299,c_0_1088]),c_0_629]),c_0_1062]),
    [final] ).

cnf(c_0_1878,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_3,e_2,X1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1300,c_0_954]),c_0_992]),
    [final] ).

cnf(c_0_1879,negated_conjecture,
    ( ~ product(e_1,e_5,e_5)
    | product(e_4,e_5,e_4)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1301,c_0_644]),
    [final] ).

cnf(c_0_1880,negated_conjecture,
    ( ~ product(e_1,e_5,e_5)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1302,c_0_644]),
    [final] ).

cnf(c_0_1881,negated_conjecture,
    ( ~ product(e_1,e_5,X1)
    | ~ product(e_2,e_4,X1)
    | product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1303,c_0_1020]),c_0_1304]),c_0_1012]),
    [final] ).

cnf(c_0_1882,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1075,c_0_1071]),c_0_1183]),
    [final] ).

cnf(c_0_1883,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_5,e_1,X1)
    | product(e_4,e_1,e_3)
    | product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_783]),c_0_1305]),
    [final] ).

cnf(c_0_1884,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_2,X1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1306,c_0_931]),c_0_992]),
    [final] ).

cnf(c_0_1885,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_3,X1)
    | ~ product(e_1,e_4,e_3)
    | product(e_1,e_3,e_4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1307,c_0_724]),c_0_1308]),c_0_132]),
    [final] ).

cnf(c_0_1886,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_5,e_1,X1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_677,c_0_1040]),
    [final] ).

cnf(c_0_1887,negated_conjecture,
    ( ~ product(e_2,e_3,X1)
    | ~ product(e_1,e_5,X1)
    | product(e_4,e_5,e_4)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1309,c_0_1040]),c_0_771]),
    [final] ).

cnf(c_0_1888,negated_conjecture,
    ( ~ product(e_4,e_1,e_4)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1117,c_0_1042]),c_0_644])]),c_0_1310]),
    [final] ).

cnf(c_0_1889,negated_conjecture,
    ( ~ product(e_1,e_2,e_3)
    | product(e_5,e_2,e_2)
    | product(e_5,e_2,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1311,c_0_92]),c_0_1312]),
    [final] ).

cnf(c_0_1890,negated_conjecture,
    ( ~ product(e_1,e_5,e_4)
    | product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1229,c_0_860]),c_0_1012]),c_0_1304]),
    [final] ).

cnf(c_0_1891,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_3,X1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1042]),
    [final] ).

cnf(c_0_1892,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_5,X1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1042]),
    [final] ).

cnf(c_0_1893,negated_conjecture,
    ( ~ product(e_5,e_5,e_1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1313,c_0_678]),
    [final] ).

cnf(c_0_1894,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_4,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_247,c_0_860]),
    [final] ).

cnf(c_0_1895,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_2,X2)
    | ~ product(e_5,e_5,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_319,c_0_860]),
    [final] ).

cnf(c_0_1896,negated_conjecture,
    ( ~ product(e_5,e_5,X1)
    | ~ product(e_4,e_2,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1314,c_0_62]),
    [final] ).

cnf(c_0_1897,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_2,e_1,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1315,c_0_860]),
    [final] ).

cnf(c_0_1898,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | ~ product(e_3,e_4,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1316,c_0_860]),
    [final] ).

cnf(c_0_1899,negated_conjecture,
    ( ~ product(e_4,e_2,e_5)
    | product(e_2,e_4,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_860]),c_0_62])]),
    [final] ).

cnf(c_0_1900,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_4,e_2,X1)
    | ~ product(e_3,e_4,e_1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1265,c_0_793]),c_0_536]),c_0_1104]),
    [final] ).

cnf(c_0_1901,negated_conjecture,
    ( ~ product(e_1,e_2,e_3)
    | product(e_3,e_4,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_1088]),c_0_539]),
    [final] ).

cnf(c_0_1902,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1317,c_0_1066]),
    [final] ).

cnf(c_0_1903,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1318,c_0_1066]),
    [final] ).

cnf(c_0_1904,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1319,c_0_1066]),
    [final] ).

cnf(c_0_1905,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_5,X2)
    | ~ product(e_4,X1,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_486,c_0_1066]),
    [final] ).

cnf(c_0_1906,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_5,X2)
    | ~ product(e_4,X1,e_5)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_212,c_0_1066]),
    [final] ).

cnf(c_0_1907,negated_conjecture,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_1,e_5,X2)
    | ~ product(e_4,X1,e_2)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_209,c_0_774]),
    [final] ).

cnf(c_0_1908,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_1,e_5,X2)
    | ~ product(e_4,X1,e_3)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_385,c_0_774]),
    [final] ).

cnf(c_0_1909,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_1,e_5,X2)
    | ~ product(e_4,X1,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_240,c_0_774]),
    [final] ).

cnf(c_0_1910,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_1,e_5,X2)
    | ~ product(e_4,X1,e_5)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_204,c_0_774]),
    [final] ).

cnf(c_0_1911,negated_conjecture,
    ( ~ product(e_3,e_4,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_1196,c_0_1110]),
    [final] ).

cnf(c_0_1912,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_414,c_0_931]),
    [final] ).

cnf(c_0_1913,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_347,c_0_931]),
    [final] ).

cnf(c_0_1914,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_4,e_3,X1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1320,c_0_954]),c_0_717]),
    [final] ).

cnf(c_0_1915,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_948,c_0_954]),
    [final] ).

cnf(c_0_1916,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_3,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1071]),
    [final] ).

cnf(c_0_1917,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_4,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1071]),
    [final] ).

cnf(c_0_1918,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_319,c_0_1071]),
    [final] ).

cnf(c_0_1919,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_3,e_2,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1321,c_0_686]),
    [final] ).

cnf(c_0_1920,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_780,c_0_1071]),
    [final] ).

cnf(c_0_1921,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_4,e_4,X1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_413,c_0_1066]),
    [final] ).

cnf(c_0_1922,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_1,e_2,X1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1322,c_0_1066]),
    [final] ).

cnf(c_0_1923,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_2,e_3,X1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_708,c_0_1066]),
    [final] ).

cnf(c_0_1924,negated_conjecture,
    ( ~ product(e_1,e_5,X1)
    | ~ product(e_2,e_3,X1)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_1323,c_0_774]),
    [final] ).

cnf(c_0_1925,negated_conjecture,
    ( ~ product(e_1,e_5,e_4)
    | product(e_4,e_5,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1324,c_0_62]),c_0_123]),
    [final] ).

cnf(c_0_1926,negated_conjecture,
    ( ~ product(e_1,e_5,e_3)
    | product(e_3,e_5,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1325,c_0_62]),c_0_86]),
    [final] ).

cnf(c_0_1927,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_3,e_2,X1)
    | product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1326,c_0_764]),c_0_757]),c_0_722]),c_0_1012]),
    [final] ).

cnf(c_0_1928,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_4,e_1,X1)
    | product(e_3,e_4,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1115,c_0_789]),c_0_569]),
    [final] ).

cnf(c_0_1929,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_4,e_2,X1)
    | ~ product(e_1,e_4,e_3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1327,c_0_724]),c_0_144]),c_0_728]),
    [final] ).

cnf(c_0_1930,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_931]),
    [final] ).

cnf(c_0_1931,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_2,e_4,X1)
    | product(e_2,e_3,e_5)
    | product(e_1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_637,c_0_720]),
    [final] ).

cnf(c_0_1932,plain,
    ( ~ product(e_3,e_5,e_1)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_135,c_0_774]),
    [final] ).

cnf(c_0_1933,plain,
    ( ~ product(e_4,e_2,e_1)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_181,c_0_774]),
    [final] ).

cnf(c_0_1934,plain,
    ( ~ product(e_4,e_4,e_1)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_157,c_0_774]),
    [final] ).

cnf(c_0_1935,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1317,c_0_783]),
    [final] ).

cnf(c_0_1936,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1318,c_0_783]),
    [final] ).

cnf(c_0_1937,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1319,c_0_783]),
    [final] ).

cnf(c_0_1938,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,e_5,X2)
    | ~ product(e_4,X1,e_4)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_486,c_0_783]),
    [final] ).

cnf(c_0_1939,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_5,X2)
    | ~ product(e_4,X1,e_5)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_212,c_0_783]),
    [final] ).

cnf(c_0_1940,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_595,c_0_764]),
    [final] ).

cnf(c_0_1941,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_948,c_0_907]),
    [final] ).

cnf(c_0_1942,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_4,e_4,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_413,c_0_783]),
    [final] ).

cnf(c_0_1943,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_3)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_306,c_0_1110]),
    [final] ).

cnf(c_0_1944,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_4,e_3,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1328,c_0_783]),
    [final] ).

cnf(c_0_1945,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_2,e_3,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_708,c_0_783]),
    [final] ).

cnf(c_0_1946,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_4)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_184,c_0_1110]),
    [final] ).

cnf(c_0_1947,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_2,X1)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_1097,c_0_1110]),
    [final] ).

cnf(c_0_1948,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_3,e_3,X1)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_354,c_0_1110]),
    [final] ).

cnf(c_0_1949,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_948,c_0_764]),
    [final] ).

cnf(c_0_1950,negated_conjecture,
    ( ~ product(e_4,e_2,e_3)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_181,c_0_783]),
    [final] ).

cnf(c_0_1951,negated_conjecture,
    ( ~ product(e_1,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_151,c_0_931]),
    [final] ).

cnf(c_0_1952,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_306,c_0_953]),
    [final] ).

cnf(c_0_1953,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_184,c_0_953]),
    [final] ).

cnf(c_0_1954,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_595,c_0_953]),
    [final] ).

cnf(c_0_1955,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_4,e_3,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1040]),
    [final] ).

cnf(c_0_1956,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_4,e_4,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1040]),
    [final] ).

cnf(c_0_1957,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_3)
    | ~ product(e_1,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_306,c_0_724]),
    [final] ).

cnf(c_0_1958,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_4)
    | ~ product(e_1,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_184,c_0_724]),
    [final] ).

cnf(c_0_1959,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_1,X1,e_5)
    | ~ product(e_1,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_595,c_0_724]),
    [final] ).

cnf(c_0_1960,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | ~ product(e_3,e_2,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1329,c_0_62]),
    [final] ).

cnf(c_0_1961,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_4,X1,e_5)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_1040]),
    [final] ).

cnf(c_0_1962,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_306,c_0_789]),
    [final] ).

cnf(c_0_1963,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_4)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_184,c_0_789]),
    [final] ).

cnf(c_0_1964,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_948,c_0_953]),
    [final] ).

cnf(c_0_1965,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_948,c_0_723]),
    [final] ).

cnf(c_0_1966,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_2,e_3,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_708,c_0_1040]),
    [final] ).

cnf(c_0_1967,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_2,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1097,c_0_789]),
    [final] ).

cnf(c_0_1968,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_3,e_3,X1)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_354,c_0_789]),
    [final] ).

cnf(c_0_1969,negated_conjecture,
    ( ~ product(e_3,e_5,e_1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_989,c_0_620]),
    [final] ).

cnf(c_0_1970,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_1,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_948,c_0_724]),
    [final] ).

cnf(c_0_1971,negated_conjecture,
    ( ~ product(e_3,e_4,e_1)
    | ~ product(e_4,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_915,c_0_793]),
    [final] ).

cnf(c_0_1972,negated_conjecture,
    ( ~ product(e_1,e_2,e_3)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_727,c_0_620]),
    [final] ).

cnf(c_0_1973,negated_conjecture,
    ( ~ product(e_1,e_4,e_3)
    | ~ product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_86,c_0_724]),
    [final] ).

cnf(c_0_1974,negated_conjecture,
    ( ~ product(e_4,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1330,c_0_763]),
    [final] ).

cnf(c_0_1975,negated_conjecture,
    ( ~ product(e_4,e_5,X1)
    | ~ product(e_1,e_3,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1331,c_0_763]),
    [final] ).

cnf(c_0_1976,negated_conjecture,
    ( ~ product(e_4,e_5,X1)
    | ~ product(e_2,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_325,c_0_763]),
    [final] ).

cnf(c_0_1977,negated_conjecture,
    ( ~ product(e_3,e_4,e_1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1175,c_0_793]),
    [final] ).

cnf(c_0_1978,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_1,e_5,X1)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1332,c_0_979]),c_0_1333]),
    [final] ).

cnf(c_0_1979,negated_conjecture,
    ( ~ product(e_2,e_1,X1)
    | ~ product(e_1,e_2,X1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_945]),c_0_922]),c_0_1334]),c_0_1335]),
    [final] ).

cnf(c_0_1980,negated_conjecture,
    ( ~ product(e_3,e_4,X1)
    | ~ product(e_1,e_2,X1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1336,c_0_815]),c_0_922]),c_0_1334]),c_0_1335]),
    [final] ).

cnf(c_0_1981,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_4,e_3,X1)
    | product(e_2,e_4,e_5)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1337,c_0_220]),c_0_277]),
    [final] ).

cnf(c_0_1982,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_4,e_3,X2)
    | ~ product(e_1,e_4,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_414,c_0_686]),
    [final] ).

cnf(c_0_1983,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | ~ product(e_1,e_1,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_686]),
    [final] ).

cnf(c_0_1984,negated_conjecture,
    ( ~ product(e_1,e_2,e_4)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_151,c_0_686]),
    [final] ).

cnf(c_0_1985,negated_conjecture,
    ( ~ product(e_4,e_4,e_5)
    | product(e_2,e_5,e_2)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1338,c_0_644]),
    [final] ).

cnf(c_0_1986,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_5,e_1,X1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_677,c_0_1039]),
    [final] ).

cnf(c_0_1987,negated_conjecture,
    ( ~ product(e_2,e_3,X1)
    | ~ product(e_1,e_5,X1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_2)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1309,c_0_1039]),
    [final] ).

cnf(c_0_1988,negated_conjecture,
    ( ~ product(e_4,e_4,e_5)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1339,c_0_644]),
    [final] ).

cnf(c_0_1989,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_1,e_2,X2)
    | ~ product(e_4,e_3,X1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_606,c_0_678]),
    [final] ).

cnf(c_0_1990,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_1,e_2,X2)
    | ~ product(e_4,e_4,X1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_247,c_0_678]),
    [final] ).

cnf(c_0_1991,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_1,e_2,X2)
    | ~ product(e_4,e_5,X1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_319,c_0_678]),
    [final] ).

cnf(c_0_1992,negated_conjecture,
    ( ~ product(e_2,e_3,X1)
    | ~ product(e_1,e_2,X1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1340,c_0_670]),
    [final] ).

cnf(c_0_1993,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | ~ product(e_1,e_2,X1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_1341,c_0_62]),
    [final] ).

cnf(c_0_1994,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_1,e_2,X2)
    | ~ product(e_4,X1,e_5)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_204,c_0_678]),
    [final] ).

cnf(c_0_1995,negated_conjecture,
    ( ~ product(e_2,e_3,X1)
    | ~ product(e_5,e_1,X1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_262,c_0_670]),
    [final] ).

cnf(c_0_1996,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_4,e_3,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_606,c_0_1039]),
    [final] ).

cnf(c_0_1997,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_4,e_4,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_247,c_0_1039]),
    [final] ).

cnf(c_0_1998,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | ~ product(e_3,e_2,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1342,c_0_62]),
    [final] ).

cnf(c_0_1999,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_3,e_2,X2)
    | ~ product(e_4,X1,e_5)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_212,c_0_1039]),
    [final] ).

cnf(c_0_2000,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | ~ product(e_2,e_3,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_708,c_0_1039]),
    [final] ).

cnf(c_0_2001,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_2,e_3,X2)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_414,c_0_670]),
    [final] ).

cnf(c_0_2002,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_1343,c_0_62]),
    [final] ).

cnf(c_0_2003,negated_conjecture,
    ( ~ product(e_1,e_4,e_5)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1344,c_0_156]),c_0_1345]),
    [final] ).

cnf(c_0_2004,negated_conjecture,
    ( ~ product(e_4,e_2,e_5)
    | product(e_2,e_3,e_5)
    | product(e_5,e_2,e_2)
    | product(e_5,e_2,e_3)
    | product(e_5,e_2,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1346,c_0_378]),c_0_535]),
    [final] ).

cnf(c_0_2005,negated_conjecture,
    ( ~ product(e_4,e_4,e_1)
    | product(e_3,e_4,e_3)
    | product(e_2,e_3,e_5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1347,c_0_535]),c_0_1062]),
    [final] ).

cnf(c_0_2006,negated_conjecture,
    ( ~ product(e_1,e_4,e_3)
    | product(e_3,e_4,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1348,c_0_62]),c_0_86]),
    [final] ).

cnf(c_0_2007,negated_conjecture,
    ( ~ product(e_3,e_3,X1)
    | ~ product(e_5,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_1349,c_0_62]),
    [final] ).

cnf(c_0_2008,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_3,X1,e_3)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_306,c_0_402]),
    [final] ).

cnf(c_0_2009,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_3,X1,e_4)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_184,c_0_402]),
    [final] ).

cnf(c_0_2010,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_3,X1,e_5)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_595,c_0_402]),
    [final] ).

cnf(c_0_2011,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_3,e_3,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_425,c_0_402]),
    [final] ).

cnf(c_0_2012,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1015,c_0_446]),c_0_336]),
    [final] ).

cnf(c_0_2013,negated_conjecture,
    ( ~ product(e_5,e_2,X1)
    | ~ product(e_1,e_5,X1)
    | product(e_3,e_5,e_3)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_850,c_0_1350]),c_0_1351]),c_0_1352]),
    [final] ).

cnf(c_0_2014,negated_conjecture,
    ( ~ product(e_5,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_1,e_5,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1353,c_0_453]),c_0_117]),
    [final] ).

cnf(c_0_2015,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_5,e_2,X1)
    | product(e_1,e_2,e_4)
    | product(e_1,e_2,e_2)
    | product(e_2,e_5,e_2)
    | product(e_1,e_5,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1354,c_0_309]),c_0_316]),
    [final] ).

cnf(c_0_2016,negated_conjecture,
    ( ~ product(e_3,e_5,X1)
    | ~ product(e_5,e_4,X1)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_2)
    | product(e_2,e_5,e_2)
    | product(e_1,e_5,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1015,c_0_309]),c_0_348]),
    [final] ).

cnf(c_0_2017,negated_conjecture,
    ( ~ product(e_4,e_4,e_5)
    | product(e_2,e_3,e_5)
    | product(e_4,e_2,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1355,c_0_564]),c_0_658]),
    [final] ).

cnf(c_0_2018,negated_conjecture,
    ( ~ product(e_4,e_4,e_1)
    | product(e_2,e_3,e_5)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_1356,c_0_535]),
    [final] ).

cnf(c_0_2019,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_5,e_2,X1)
    | product(e_2,e_3,e_5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1357,c_0_610]),c_0_658]),
    [final] ).

cnf(c_0_2020,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,e_5,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_404,c_0_620]),
    [final] ).

cnf(c_0_2021,negated_conjecture,
    ( ~ product(e_2,e_4,e_1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1358,c_0_62]),
    [final] ).

cnf(c_0_2022,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_2,e_4,X2)
    | ~ product(e_1,X1,e_5)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_595,c_0_620]),
    [final] ).

cnf(c_0_2023,negated_conjecture,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_3)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_306,c_0_610]),
    [final] ).

cnf(c_0_2024,negated_conjecture,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,e_5,X2)
    | ~ product(e_3,X1,e_4)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_184,c_0_610]),
    [final] ).

cnf(c_0_2025,negated_conjecture,
    ( ~ product(e_2,e_5,X1)
    | ~ product(e_3,e_3,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_354,c_0_610]),
    [final] ).

cnf(c_0_2026,negated_conjecture,
    ( ~ product(e_4,e_4,e_5)
    | product(e_2,e_5,e_2)
    | product(e_2,e_1,e_2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1359,c_0_564]),c_0_658]),c_0_1360]),
    [final] ).

cnf(c_0_2027,negated_conjecture,
    ( ~ product(e_4,e_4,e_5)
    | product(e_4,e_2,e_2)
    | product(e_3,e_4,e_2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1361,c_0_564]),c_0_658]),c_0_1362]),
    [final] ).

cnf(c_0_2028,negated_conjecture,
    ( ~ product(e_4,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_4,e_2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1363,c_0_519]),c_0_658]),c_0_1360]),
    [final] ).

cnf(c_0_2029,negated_conjecture,
    ( ~ product(e_5,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1364,c_0_164]),c_0_1365]),c_0_1366]),c_0_488]),
    [final] ).

cnf(c_0_2030,negated_conjecture,
    ( ~ product(e_4,e_5,e_4)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_1367,c_0_106]),
    [final] ).

cnf(c_0_2031,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | ~ product(e_1,e_1,X1)
    | ~ product(e_3,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_948,c_0_793]),
    [final] ).

cnf(c_0_2032,negated_conjecture,
    ( ~ product(e_3,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1368,c_0_793]),c_0_62])]),
    [final] ).

cnf(c_0_2033,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_1,e_4,X2)
    | ~ product(e_2,e_5,X1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_404,c_0_357]),
    [final] ).

cnf(c_0_2034,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_2,e_2,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_259,c_0_571]),
    [final] ).

cnf(c_0_2035,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_1,e_3,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1369,c_0_571]),
    [final] ).

cnf(c_0_2036,negated_conjecture,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_1,e_4,X2)
    | ~ product(e_2,X1,e_2)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_209,c_0_357]),
    [final] ).

cnf(c_0_2037,negated_conjecture,
    ( ~ product(e_5,X1,X2)
    | ~ product(e_1,e_4,X2)
    | ~ product(e_2,X1,e_5)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_204,c_0_357]),
    [final] ).

cnf(c_0_2038,negated_conjecture,
    ( ~ product(e_5,e_4,X1)
    | ~ product(e_2,e_2,X1)
    | ~ product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_259,c_0_1043]),
    [final] ).

cnf(c_0_2039,negated_conjecture,
    ( ~ product(e_4,e_4,e_1)
    | product(e_3,e_1,e_2)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1370,c_0_535]),
    [final] ).

cnf(c_0_2040,negated_conjecture,
    ( ~ product(e_4,e_4,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1371,c_0_535]),c_0_243]),
    [final] ).

cnf(c_0_2041,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_1,e_3,X2)
    | ~ product(e_2,e_4,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_414,c_0_535]),
    [final] ).

cnf(c_0_2042,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_1,e_3,X2)
    | ~ product(e_2,e_5,X1)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_347,c_0_535]),
    [final] ).

cnf(c_0_2043,negated_conjecture,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_1,e_3,X2)
    | ~ product(e_2,X1,e_2)
    | product(e_2,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_209,c_0_535]),
    [final] ).

cnf(c_0_2044,negated_conjecture,
    ( ~ product(e_2,e_3,X1)
    | ~ product(e_5,e_1,X1)
    | ~ product(e_4,e_2,e_3)
    | product(e_4,e_1,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_962]),c_0_102]),
    [final] ).

cnf(c_0_2045,negated_conjecture,
    ( ~ product(e_4,e_5,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_1372,c_0_106]),
    [final] ).

cnf(c_0_2046,negated_conjecture,
    ( ~ product(e_4,e_2,e_5)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_2)
    | product(e_5,e_2,e_2)
    | product(e_5,e_2,e_3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_1373]),c_0_62])]),c_0_135]),
    [final] ).

cnf(c_0_2047,negated_conjecture,
    ( ~ product(e_1,e_5,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1374,c_0_106]),c_0_69]),
    [final] ).

cnf(c_0_2048,negated_conjecture,
    ( ~ product(e_4,e_4,X1)
    | ~ product(e_5,e_1,X1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_1375,c_0_62]),
    [final] ).

cnf(c_0_2049,plain,
    ( ~ product(e_4,e_4,e_5)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_176,c_0_156]),
    [final] ).

cnf(c_0_2050,negated_conjecture,
    ( ~ product(e_5,e_4,e_1)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_1376,c_0_62]),
    [final] ).

cnf(c_0_2051,plain,
    ( ~ product(e_4,e_4,e_5)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_123,c_0_220]),
    [final] ).

cnf(c_0_2052,negated_conjecture,
    ( ~ product(X1,e_2,X2)
    | ~ product(e_1,e_1,X2)
    | ~ product(e_1,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_62]),
    [final] ).

cnf(c_0_2053,negated_conjecture,
    ( ~ product(X1,e_3,X2)
    | ~ product(e_1,e_1,X2)
    | ~ product(e_1,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_249,c_0_62]),
    [final] ).

cnf(c_0_2054,negated_conjecture,
    ( ~ product(X1,e_4,X2)
    | ~ product(e_1,e_1,X2)
    | ~ product(e_1,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_800,c_0_62]),
    [final] ).

cnf(c_0_2055,negated_conjecture,
    ( ~ product(X1,e_5,X2)
    | ~ product(e_1,e_1,X2)
    | ~ product(e_1,e_5,X1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_62]),
    [final] ).

cnf(c_0_2056,plain,
    ( ~ product(X1,X2,e_5)
    | ~ product(X1,X2,e_1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_339]),
    [final] ).

cnf(c_0_2057,plain,
    ( ~ next(X1,e_1)
    | ~ product(X1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_1377]),
    [final] ).

cnf(c_0_2058,plain,
    ( ~ next(X1,e_1)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_54,c_0_1378]),
    [final] ).

cnf(c_0_2059,plain,
    ( ~ next(X1,e_1)
    | ~ product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_54,c_0_1379]),
    [final] ).

cnf(c_0_2060,plain,
    ( ~ next(X1,e_1)
    | ~ product(X1,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_54,c_0_1380]),
    [final] ).

cnf(c_0_2061,negated_conjecture,
    ~ product(e_4,e_3,e_1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1381,c_0_1190]),c_0_1382]),
    [final] ).

cnf(c_0_2062,plain,
    ~ product(e_3,e_3,e_1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_1383]),c_0_1384]),
    [final] ).

cnf(c_0_2063,negated_conjecture,
    ~ product(e_3,e_2,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1385]),c_0_62])]),
    [final] ).

cnf(c_0_2064,negated_conjecture,
    ~ product(e_4,e_3,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1386]),c_0_62])]),
    [final] ).

cnf(c_0_2065,negated_conjecture,
    ~ product(e_4,e_3,e_5),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1061,c_0_1387]),c_0_644]),c_0_763])]),c_0_136]),
    [final] ).

cnf(c_0_2066,plain,
    ~ product(e_2,e_5,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1388]),c_0_62])]),
    [final] ).

cnf(c_0_2067,plain,
    ~ product(e_3,e_3,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_1389]),c_0_62])]),
    [final] ).

cnf(c_0_2068,negated_conjecture,
    ~ product(e_3,e_3,e_5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1390,c_0_763])]),
    [final] ).

cnf(c_0_2069,plain,
    ~ product(e_2,e_2,e_1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1391]),c_0_1392]),
    [final] ).

cnf(c_0_2070,plain,
    ~ product(e_2,e_2,e_5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_1393]),c_0_62])]),
    [final] ).

cnf(c_0_2071,negated_conjecture,
    ~ product(e_2,e_2,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1394]),c_0_62])]),
    [final] ).

cnf(c_0_2072,plain,
    ~ product(e_2,e_2,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1395]),c_0_62])]),
    [final] ).

cnf(c_0_2073,plain,
    ~ product(e_1,e_1,e_2),
    inference(spm,[status(thm)],[c_0_536,c_0_62]),
    [final] ).

cnf(c_0_2074,plain,
    ~ product(e_3,e_3,e_2),
    inference(spm,[status(thm)],[c_0_539,c_0_62]),
    [final] ).

cnf(c_0_2075,plain,
    ~ product(e_4,e_4,e_2),
    inference(spm,[status(thm)],[c_0_529,c_0_62]),
    [final] ).

cnf(c_0_2076,plain,
    ~ product(e_4,e_4,e_3),
    inference(spm,[status(thm)],[c_0_538,c_0_62]),
    [final] ).

cnf(c_0_2077,plain,
    ~ product(e_5,e_5,e_2),
    inference(spm,[status(thm)],[c_0_345,c_0_62]),
    [final] ).

cnf(c_0_2078,plain,
    ~ product(e_5,e_5,e_3),
    inference(spm,[status(thm)],[c_0_372,c_0_62]),
    [final] ).

cnf(c_0_2079,plain,
    ~ product(e_5,e_5,e_4),
    inference(spm,[status(thm)],[c_0_563,c_0_62]),
    [final] ).

cnf(c_0_2080,plain,
    ~ product(e_1,e_1,e_3),
    inference(spm,[status(thm)],[c_0_1396,c_0_1397]),
    [final] ).

cnf(c_0_2081,plain,
    ~ product(e_1,e_1,e_4),
    inference(spm,[status(thm)],[c_0_1398,c_0_1397]),
    [final] ).

cnf(c_0_2082,plain,
    ~ product(e_1,e_1,e_5),
    inference(spm,[status(thm)],[c_0_1399,c_0_1397]),
    [final] ).

cnf(c_0_2083,plain,
    ~ equalish(e_4,e_5),
    c_0_1400,
    [final] ).

cnf(c_0_2084,plain,
    ~ equalish(e_3,e_5),
    c_0_1401,
    [final] ).

cnf(c_0_2085,plain,
    ~ equalish(e_3,e_4),
    c_0_1402,
    [final] ).

cnf(c_0_2086,plain,
    ~ equalish(e_2,e_5),
    c_0_1403,
    [final] ).

cnf(c_0_2087,plain,
    ~ equalish(e_2,e_4),
    c_0_1404,
    [final] ).

cnf(c_0_2088,plain,
    ~ equalish(e_2,e_3),
    c_0_1405,
    [final] ).

cnf(c_0_2089,plain,
    ~ equalish(e_1,e_5),
    c_0_1406,
    [final] ).

cnf(c_0_2090,plain,
    ~ equalish(e_1,e_4),
    c_0_1407,
    [final] ).

cnf(c_0_2091,plain,
    ~ equalish(e_1,e_3),
    c_0_1408,
    [final] ).

cnf(c_0_2092,plain,
    ~ equalish(e_1,e_2),
    c_0_1409,
    [final] ).

cnf(c_0_2093,axiom,
    next(e_4,e_5),
    e_4_then_e_5,
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP123-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36  % Computer : n006.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 19:58:13 UTC 2026
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41  Running first-order theorem proving
% 0.14/0.41  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 34.02/4.79  % Version: 3.5.1
% 34.02/4.79  % Preprocessing class: FSMSSMSSSSSNFFN.
% 34.02/4.79  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 34.02/4.79  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 34.02/4.79  % Starting new_bool_3 with 300s (1) cores
% 34.02/4.79  % Starting new_bool_1 with 300s (1) cores
% 34.02/4.79  % Starting sh5l with 300s (1) cores
% 34.02/4.79  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1134301 completed with status 1
% 34.02/4.79  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 34.02/4.79  % Preprocessing class: FSMSSMSSSSSNFFN.
% 34.02/4.79  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 34.02/4.79  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 34.02/4.79  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 34.02/4.79  % No SInE strategy applied
% 34.02/4.79  % Search class: FGHNF-FFMM00-SFFFFFNN
% 34.02/4.79  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 34.02/4.79  % Starting SubtermCWHack with 136s (1) cores
% 34.02/4.79  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 34.02/4.79  % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 34.02/4.79  % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 34.02/4.79  % Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 34.02/4.79  % G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 1134312 completed with status 1
% 34.02/4.79  % Result found by G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 34.02/4.79  % Preprocessing class: FSMSSMSSSSSNFFN.
% 34.02/4.79  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 34.02/4.79  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 34.02/4.79  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 34.02/4.79  % No SInE strategy applied
% 34.02/4.79  % Search class: FGHNF-FFMM00-SFFFFFNN
% 34.02/4.79  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 34.02/4.79  % Starting SubtermCWHack with 136s (1) cores
% 34.02/4.79  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 34.02/4.79  % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 34.02/4.79  % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 34.02/4.79  % Preprocessing time       : 0.001 s
% 34.02/4.79  % Presaturation interreduction done
% 34.02/4.79  
% 34.02/4.79  % No proof found!
% 34.02/4.79  % SZS status Satisfiable
% 34.02/4.79  % SZS output start Saturation
% See solution above
% 34.02/4.79  % Parsed axioms                        : 47
% 34.02/4.79  % Removed by relevancy pruning/SinE    : 0
% 34.02/4.79  % Initial clauses                      : 47
% 34.02/4.79  % Removed in clause preprocessing      : 0
% 34.02/4.79  % Initial clauses in saturation        : 47
% 34.02/4.79  % Processed clauses                    : 19691
% 34.02/4.79  % ...of these trivial                  : 4
% 34.02/4.79  % ...subsumed                          : 13198
% 34.02/4.79  % ...remaining for further processing  : 6489
% 34.02/4.79  % Other redundant clauses eliminated   : 0
% 34.02/4.79  % Clauses deleted for lack of memory   : 0
% 34.02/4.79  % Backward-subsumed                    : 4970
% 34.02/4.79  % Backward-rewritten                   : 165
% 34.02/4.79  % Generated clauses                    : 58943
% 34.02/4.79  % ...of the previous two non-redundant : 57048
% 34.02/4.79  % ...aggressively subsumed             : 0
% 34.02/4.79  % Contextual simplify-reflections      : 1309
% 34.02/4.79  % Paramodulations                      : 58760
% 34.02/4.79  % Factorizations                       : 0
% 34.02/4.79  % NegExts                              : 0
% 34.02/4.79  % Equation resolutions                 : 0
% 34.02/4.79  % Disequality decompositions           : 0
% 34.02/4.79  % Total rewrite steps                  : 1871
% 34.02/4.79  % ...of those cached                   : 1859
% 34.02/4.79  % Propositional unsat checks           : 0
% 34.02/4.79  %    Propositional check models        : 0
% 34.02/4.79  %    Propositional check unsatisfiable : 0
% 34.02/4.79  %    Propositional clauses             : 0
% 34.02/4.79  %    Propositional clauses after purity: 0
% 34.02/4.79  %    Propositional unsat core size     : 0
% 34.02/4.79  %    Propositional preprocessing time  : 0.000
% 34.02/4.79  %    Propositional encoding time       : 0.000
% 34.02/4.79  %    Propositional solver time         : 0.000
% 34.02/4.79  %    Success case prop preproc time    : 0.000
% 34.02/4.79  %    Success case prop encoding time   : 0.000
% 34.02/4.79  %    Success case prop solver time     : 0.000
% 34.02/4.79  % Current number of processed clauses  : 1124
% 34.02/4.79  %    Positive orientable unit clauses  : 27
% 34.02/4.79  %    Positive unorientable unit clauses: 0
% 34.02/4.79  %    Negative unit clauses             : 91
% 34.02/4.79  %    Non-unit-clauses                  : 1006
% 34.02/4.79  % Current number of unprocessed clauses: 0
% 34.02/4.79  % ...number of literals in the above   : 0
% 34.02/4.79  % Current number of archived formulas  : 0
% 34.02/4.79  % Current number of archived clauses   : 5365
% 34.02/4.79  % Clause-clause subsumption calls (NU) : 2357780
% 34.02/4.79  % Rec. Clause-clause subsumption calls : 253426
% 34.02/4.79  % Non-unit clause-clause subsumptions  : 13672
% 34.02/4.79  % Unit Clause-clause subsumption calls : 11207
% 34.02/4.79  % Rewrite failures with RHS unbound    : 0
% 34.02/4.79  % BW rewrite match attempts            : 47
% 34.02/4.79  % BW rewrite match successes           : 7
% 34.02/4.79  % Condensation attempts                : 0
% 34.02/4.79  % Condensation successes               : 0
% 34.02/4.79  % Termbank termtop insertions          : 1296132
% 34.02/4.79  % Search garbage collected termcells   : 81
% 34.02/4.79  
% 34.02/4.79  % -------------------------------------------------
% 34.02/4.79  % User time                : 4.248 s
% 34.02/4.79  % System time              : 0.065 s
% 34.02/4.79  % Total time               : 4.313 s
% 34.02/4.79  % Maximum resident set size: 3912 pages
% 34.02/4.79  
% 34.02/4.79  % -------------------------------------------------
% 34.02/4.79  % User time                : 21.046 s
% 34.02/4.79  % System time              : 0.297 s
% 34.02/4.79  % Total time               : 21.342 s
% 34.02/4.79  % Maximum resident set size: 5120 pages
% 34.02/4.79  % E exiting
%------------------------------------------------------------------------------