TSTP Solution File: GRP133-2.004 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : GRP133-2.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 07:57:36 EDT 2024

% Result   : Timeout 2.29s 300.04s
% Output   : None 
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_31)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_33,plain,
    ( ~ product(X1,e_1,X2)
    | ~ next(X1,X3)
    | ~ greater(X2,X3) ),
    c_0_31,
    [final] ).

cnf(c_0_34,axiom,
    greater(e_4,e_2),
    e_4_greater_e_2,
    [final] ).

cnf(c_0_35,axiom,
    greater(e_3,e_2),
    e_3_greater_e_2,
    [final] ).

cnf(c_0_38,plain,
    ( product(X1,X2,e_1)
    | product(X1,X2,e_2)
    | product(X1,X2,e_3)
    | product(X1,X2,e_4)
    | ~ group_element(X1)
    | ~ group_element(X2) ),
    c_0_32,
    [final] ).

cnf(c_0_39,axiom,
    group_element(e_1),
    element_1,
    [final] ).

cnf(c_0_40,plain,
    ( ~ product(X1,e_1,e_4)
    | ~ next(X1,e_2) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]),
    [final] ).

cnf(c_0_41,axiom,
    next(e_1,e_2),
    e_1_then_e_2,
    [final] ).

cnf(c_0_42,plain,
    ( ~ product(X1,e_1,e_3)
    | ~ next(X1,e_2) ),
    inference(spm,[status(thm)],[c_0_33,c_0_35]),
    [final] ).

cnf(c_0_43,plain,
    ~ equalish(e_2,e_1),
    c_0_36,
    [final] ).

cnf(c_0_44,plain,
    ( equalish(X1,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X3) ),
    c_0_37,
    [final] ).

cnf(c_0_45,plain,
    ( product(X1,e_1,e_4)
    | product(X1,e_1,e_3)
    | product(X1,e_1,e_2)
    | product(X1,e_1,e_1)
    | ~ group_element(X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]),
    [final] ).

cnf(c_0_46,plain,
    ~ product(e_1,e_1,e_4),
    inference(spm,[status(thm)],[c_0_40,c_0_41]),
    [final] ).

cnf(c_0_47,plain,
    ~ product(e_1,e_1,e_3),
    inference(spm,[status(thm)],[c_0_42,c_0_41]),
    [final] ).

cnf(c_0_48,axiom,
    greater(e_4,e_3),
    e_4_greater_e_3,
    [final] ).

cnf(c_0_50,plain,
    ( ~ product(e_1,X1,X2)
    | ~ product(e_2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]),
    [final] ).

cnf(c_0_51,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_39]),c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_52,plain,
    ( ~ product(X1,e_1,e_4)
    | ~ next(X1,e_3) ),
    inference(spm,[status(thm)],[c_0_33,c_0_48]),
    [final] ).

cnf(c_0_53,axiom,
    next(e_2,e_3),
    e_2_then_e_3,
    [final] ).

cnf(c_0_55,negated_conjecture,
    ( product(X3,X4,X1)
    | ~ product(X1,X2,X3)
    | ~ product(X2,X1,X4) ),
    c_0_49,
    [final] ).

cnf(c_0_57,axiom,
    group_element(e_2),
    element_2,
    [final] ).

cnf(c_0_58,plain,
    ~ product(e_2,e_1,e_4),
    inference(spm,[status(thm)],[c_0_52,c_0_53]),
    [final] ).

cnf(c_0_59,plain,
    ( equalish(X2,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X4,X3) ),
    c_0_54,
    [final] ).

cnf(c_0_62,plain,
    ( ~ product(X1,e_1,X2)
    | ~ product(X1,e_2,X2) ),
    inference(spm,[status(thm)],[c_0_43,c_0_59]),
    [final] ).

cnf(c_0_66,plain,
    ( product(X1,e_2,e_4)
    | product(X1,e_2,e_3)
    | product(X1,e_2,e_2)
    | product(X1,e_2,e_1)
    | ~ group_element(X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_57]),
    [final] ).

cnf(c_0_71,plain,
    ~ equalish(e_3,e_2),
    c_0_67,
    [final] ).

cnf(c_0_74,plain,
    ( ~ product(X1,e_2,X2)
    | ~ product(X1,e_3,X2) ),
    inference(spm,[status(thm)],[c_0_71,c_0_59]),
    [final] ).

cnf(c_0_82,plain,
    ~ equalish(e_4,e_3),
    c_0_78,
    [final] ).

cnf(c_0_84,plain,
    ( equalish(X3,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X2,X4) ),
    c_0_80,
    [final] ).

cnf(c_0_86,plain,
    ( ~ product(X1,e_3,X2)
    | ~ product(X1,e_4,X2) ),
    inference(spm,[status(thm)],[c_0_82,c_0_59]),
    [final] ).

cnf(c_0_88,plain,
    ( ~ product(X1,X2,e_1)
    | ~ product(X1,X2,e_2) ),
    inference(spm,[status(thm)],[c_0_43,c_0_84]),
    [final] ).

cnf(c_0_93,plain,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_82,c_0_44]),
    [final] ).

cnf(c_0_95,plain,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_71,c_0_44]),
    [final] ).

cnf(c_0_96,plain,
    ~ equalish(e_3,e_1),
    c_0_91,
    [final] ).

cnf(c_0_98,plain,
    ~ equalish(e_4,e_2),
    c_0_92,
    [final] ).

cnf(c_0_99,axiom,
    group_element(e_4),
    element_4,
    [final] ).

cnf(c_0_102,plain,
    ( ~ product(e_1,X1,X2)
    | ~ product(e_3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_96,c_0_44]),
    [final] ).

cnf(c_0_104,plain,
    ( ~ product(X1,e_2,X2)
    | ~ product(X1,e_4,X2) ),
    inference(spm,[status(thm)],[c_0_98,c_0_59]),
    [final] ).

cnf(c_0_105,plain,
    ( product(X1,e_4,e_4)
    | product(X1,e_4,e_3)
    | product(X1,e_4,e_2)
    | product(X1,e_4,e_1)
    | ~ group_element(X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_99]),
    [final] ).

cnf(c_0_106,axiom,
    group_element(e_3),
    element_3,
    [final] ).

cnf(c_0_111,plain,
    ~ equalish(e_4,e_1),
    c_0_107,
    [final] ).

cnf(c_0_114,plain,
    ( ~ product(X1,e_1,X2)
    | ~ product(X1,e_4,X2) ),
    inference(spm,[status(thm)],[c_0_111,c_0_59]),
    [final] ).

cnf(c_0_117,plain,
    ( product(e_1,e_1,e_2)
    | ~ product(e_1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_51]),
    [final] ).

cnf(c_0_118,plain,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_98,c_0_44]),
    [final] ).

cnf(c_0_120,plain,
    ( ~ product(X1,e_1,X2)
    | ~ product(X1,e_3,X2) ),
    inference(spm,[status(thm)],[c_0_96,c_0_59]),
    [final] ).

cnf(c_0_121,plain,
    ( product(X1,e_3,e_4)
    | product(X1,e_3,e_3)
    | product(X1,e_3,e_2)
    | product(X1,e_3,e_1)
    | ~ group_element(X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_106]),
    [final] ).

cnf(c_0_122,negated_conjecture,
    ( product(X1,e_2,e_1)
    | ~ product(e_1,e_4,e_1)
    | ~ product(e_1,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_117]),
    [final] ).

cnf(c_0_126,plain,
    ( product(e_1,e_1,e_2)
    | ~ product(e_1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_51]),
    [final] ).

cnf(c_0_130,plain,
    ( ~ product(e_1,X1,X2)
    | ~ product(e_4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_111,c_0_44]),
    [final] ).

cnf(c_0_144,plain,
    ( product(e_1,e_1,e_2)
    | ~ product(e_3,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_51]),
    [final] ).

cnf(c_0_145,plain,
    ( product(e_1,e_1,e_2)
    | ~ product(e_4,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_51]),
    [final] ).

cnf(c_0_156,plain,
    ( ~ product(e_4,e_1,e_2)
    | ~ product(e_3,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_144]),
    [final] ).

cnf(c_0_159,negated_conjecture,
    ~ product(e_2,e_4,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_146]),c_0_147]),
    [final] ).

cnf(c_0_167,plain,
    ( product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3)
    | ~ product(e_3,e_1,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_155]),c_0_156]),
    [final] ).

cnf(c_0_177,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ product(e_1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_117]),
    [final] ).

cnf(c_0_184,plain,
    ( product(e_1,e_4,e_4)
    | product(e_1,e_4,e_3)
    | ~ product(e_1,e_3,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_123]),c_0_86]),
    [final] ).

cnf(c_0_191,plain,
    ( ~ product(X1,X2,e_2)
    | ~ product(X1,X2,e_4) ),
    inference(spm,[status(thm)],[c_0_98,c_0_84]),
    [final] ).

cnf(c_0_209,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_112]),c_0_206]),
    [final] ).

cnf(c_0_214,negated_conjecture,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | ~ product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_93,c_0_209]),
    [final] ).

cnf(c_0_226,plain,
    ( ~ product(X1,X2,e_1)
    | ~ product(X1,X2,e_3) ),
    inference(spm,[status(thm)],[c_0_96,c_0_84]),
    [final] ).

cnf(c_0_227,negated_conjecture,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | ~ product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_114,c_0_209]),
    [final] ).

cnf(c_0_228,negated_conjecture,
    ( product(X1,e_2,e_1)
    | ~ product(e_1,e_3,e_1)
    | ~ product(e_1,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_126]),
    [final] ).

cnf(c_0_238,plain,
    ( ~ product(X1,X2,e_1)
    | ~ product(X1,X2,e_4) ),
    inference(spm,[status(thm)],[c_0_111,c_0_84]),
    [final] ).

cnf(c_0_247,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | ~ product(e_2,e_2,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_237]),c_0_238]),
    [final] ).

cnf(c_0_256,negated_conjecture,
    ( ~ product(e_2,e_3,e_4)
    | ~ product(e_2,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_247]),
    [final] ).

cnf(c_0_262,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | ~ product(e_2,e_3,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_194]),c_0_120]),
    [final] ).

cnf(c_0_265,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | ~ product(e_2,e_2,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_238]),
    [final] ).

cnf(c_0_271,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | ~ product(e_2,e_3,e_2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_118]),c_0_120]),
    [final] ).

cnf(c_0_277,negated_conjecture,
    ( product(e_4,e_4,e_3)
    | ~ product(e_2,e_3,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_271]),c_0_120]),
    [final] ).

cnf(c_0_286,negated_conjecture,
    ( product(e_1,e_3,e_3)
    | ~ product(e_2,e_3,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_120]),
    [final] ).

cnf(c_0_287,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_2,e_1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_280]),c_0_281]),
    [final] ).

cnf(c_0_288,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ product(e_3,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_144]),
    [final] ).

cnf(c_0_292,negated_conjecture,
    ~ product(e_2,e_2,e_4),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_287]),c_0_238]),
    [final] ).

cnf(c_0_293,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | ~ product(e_3,e_1,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_290]),
    [final] ).

cnf(c_0_295,negated_conjecture,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[c_0_291,c_0_292]),
    [final] ).

cnf(c_0_298,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(X1,e_3,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_295]),
    [final] ).

cnf(c_0_300,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | ~ product(e_3,e_3,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_297]),c_0_95]),
    [final] ).

cnf(c_0_304,negated_conjecture,
    ~ product(e_4,e_3,e_3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_301]),c_0_302]),
    [final] ).

cnf(c_0_309,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | ~ product(e_2,e_2,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_259]),c_0_62]),
    [final] ).

cnf(c_0_321,negated_conjecture,
    ~ product(e_3,e_4,e_4),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_303]),c_0_315]),c_0_316]),
    [final] ).

cnf(c_0_322,negated_conjecture,
    ~ product(e_3,e_4,e_3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_317]),c_0_318]),
    [final] ).

cnf(c_0_331,negated_conjecture,
    ~ product(e_4,e_3,e_2),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_326]),c_0_93]),c_0_118]),
    [final] ).

cnf(c_0_346,negated_conjecture,
    ~ product(e_2,e_2,e_3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_341]),c_0_233]),
    [final] ).

cnf(c_0_348,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | ~ product(e_2,e_3,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_289]),c_0_120]),
    [final] ).

cnf(c_0_354,negated_conjecture,
    ( product(e_1,e_1,e_2)
    | product(e_2,e_2,e_2) ),
    inference(sr,[status(thm)],[c_0_307,c_0_346]),
    [final] ).

cnf(c_0_359,negated_conjecture,
    ( ~ product(e_3,e_3,e_4)
    | ~ product(e_2,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_120,c_0_309]),
    [final] ).

cnf(c_0_364,negated_conjecture,
    ~ product(e_2,e_1,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_354]),c_0_62]),
    [final] ).

cnf(c_0_369,negated_conjecture,
    product(e_3,e_4,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_358]),c_0_349]),
    [final] ).

cnf(c_0_372,negated_conjecture,
    ( product(e_3,e_2,e_1)
    | ~ product(e_2,e_2,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_62]),
    [final] ).

cnf(c_0_375,negated_conjecture,
    ( product(e_1,e_3,e_3)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[c_0_363,c_0_364]),
    [final] ).

cnf(c_0_377,negated_conjecture,
    ~ product(e_3,e_2,e_4),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_367]),c_0_368]),
    [final] ).

cnf(c_0_378,negated_conjecture,
    ~ product(e_3,e_2,e_2),
    inference(spm,[status(thm)],[c_0_104,c_0_369]),
    [final] ).

cnf(c_0_379,negated_conjecture,
    ~ product(e_3,e_1,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_354]),c_0_370]),
    [final] ).

cnf(c_0_380,negated_conjecture,
    ( product(e_1,e_4,e_3)
    | ~ product(e_2,e_2,e_2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_74]),c_0_191]),
    [final] ).

cnf(c_0_383,negated_conjecture,
    ( product(e_3,e_3,e_3)
    | product(X1,e_3,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_375]),
    [final] ).

cnf(c_0_389,plain,
    ( ~ product(X1,X2,e_2)
    | ~ product(X1,X2,e_3) ),
    inference(spm,[status(thm)],[c_0_71,c_0_84]),
    [final] ).

cnf(c_0_391,negated_conjecture,
    product(e_2,e_1,e_3),
    inference(sr,[status(thm)],[c_0_68,c_0_364]),
    [final] ).

cnf(c_0_392,negated_conjecture,
    ~ product(e_1,e_2,e_3),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_292]),c_0_387]),c_0_50]),
    [final] ).

cnf(c_0_393,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[c_0_388,c_0_364]),
    [final] ).

cnf(c_0_396,negated_conjecture,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | ~ product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_184,c_0_300]),
    [final] ).

cnf(c_0_397,negated_conjecture,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_2,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_390]),c_0_391])]),
    [final] ).

cnf(c_0_399,negated_conjecture,
    ~ product(e_1,e_2,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_354]),c_0_50]),
    [final] ).

cnf(c_0_400,negated_conjecture,
    ~ product(e_4,e_4,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_393]),c_0_394]),
    [final] ).

cnf(c_0_404,negated_conjecture,
    product(e_1,e_2,e_4),
    inference(sr,[status(thm)],[c_0_398,c_0_399]),
    [final] ).

cnf(c_0_405,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | ~ product(e_4,e_4,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_190]),c_0_118]),
    [final] ).

cnf(c_0_406,negated_conjecture,
    ( product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3) ),
    inference(sr,[status(thm)],[c_0_187,c_0_400]),
    [final] ).

cnf(c_0_407,negated_conjecture,
    ~ product(e_1,e_4,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_354]),c_0_401]),
    [final] ).

cnf(c_0_408,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | ~ product(e_3,e_3,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_300]),c_0_402]),
    [final] ).

cnf(c_0_409,negated_conjecture,
    ( product(e_1,e_4,e_3)
    | product(e_3,e_2,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_403]),c_0_404])]),
    [final] ).

cnf(c_0_412,negated_conjecture,
    ( product(e_4,e_4,e_3)
    | product(e_1,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_406]),c_0_407]),
    [final] ).

cnf(c_0_414,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | ~ product(e_1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_86,c_0_409]),
    [final] ).

cnf(c_0_415,negated_conjecture,
    ( product(e_1,e_3,e_3)
    | product(e_3,e_1,e_4) ),
    inference(sr,[status(thm)],[c_0_352,c_0_364]),
    [final] ).

cnf(c_0_416,negated_conjecture,
    ~ product(e_3,e_3,e_2),
    inference(spm,[status(thm)],[c_0_86,c_0_369]),
    [final] ).

cnf(c_0_420,negated_conjecture,
    ( product(e_4,e_4,e_3)
    | ~ product(e_1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_86,c_0_412]),
    [final] ).

cnf(c_0_421,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_4,e_4) ),
    inference(sr,[status(thm)],[c_0_413,c_0_364]),
    [final] ).

cnf(c_0_423,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[c_0_373,c_0_364]),
    [final] ).

cnf(c_0_424,plain,
    ( ~ product(X1,X2,e_3)
    | ~ product(X1,X2,e_4) ),
    inference(spm,[status(thm)],[c_0_82,c_0_84]),
    [final] ).

cnf(c_0_425,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(e_3,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_414,c_0_415]),
    [final] ).

cnf(c_0_429,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_4,e_2)
    | ~ product(e_4,e_2,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_234]),c_0_104]),
    [final] ).

cnf(c_0_430,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[c_0_139,c_0_416]),
    [final] ).

cnf(c_0_434,negated_conjecture,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_4,e_3) ),
    inference(sr,[status(thm)],[c_0_419,c_0_399]),
    [final] ).

cnf(c_0_435,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_420,c_0_295]),
    [final] ).

cnf(c_0_436,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(e_4,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_421]),c_0_364]),c_0_331]),
    [final] ).

cnf(c_0_438,negated_conjecture,
    ~ product(e_3,e_1,e_3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_425]),c_0_62]),
    [final] ).

cnf(c_0_442,negated_conjecture,
    ( product(e_3,e_3,e_3)
    | ~ product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_95,c_0_430]),
    [final] ).

cnf(c_0_443,negated_conjecture,
    product(e_4,e_3,e_1),
    inference(sr,[status(thm)],[c_0_112,c_0_364]),
    [final] ).

cnf(c_0_447,negated_conjecture,
    ( product(e_1,e_3,e_3)
    | ~ product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_130,c_0_434]),
    [final] ).

cnf(c_0_448,negated_conjecture,
    ( product(e_4,e_4,e_3)
    | product(X1,e_2,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_435]),
    [final] ).

cnf(c_0_449,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(e_4,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_436]),c_0_364]),
    [final] ).

cnf(c_0_450,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(e_3,e_1,e_1) ),
    inference(sr,[status(thm)],[c_0_437,c_0_438]),
    [final] ).

cnf(c_0_453,negated_conjecture,
    ( product(X1,e_2,e_1)
    | ~ product(e_3,e_1,e_1)
    | ~ product(e_1,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_144]),
    [final] ).

cnf(c_0_455,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_441,c_0_364]),c_0_400]),
    [final] ).

cnf(c_0_456,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | ~ product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_442]),c_0_364]),
    [final] ).

cnf(c_0_459,negated_conjecture,
    ~ product(e_3,e_3,e_1),
    inference(spm,[status(thm)],[c_0_93,c_0_443]),
    [final] ).

cnf(c_0_465,negated_conjecture,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_102,c_0_447]),
    [final] ).

cnf(c_0_466,negated_conjecture,
    ( product(e_4,e_2,e_3)
    | product(e_4,e_4,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_309]),c_0_449]),
    [final] ).

cnf(c_0_467,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | ~ product(e_3,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_450]),
    [final] ).

cnf(c_0_472,negated_conjecture,
    ( ~ product(e_1,e_3,e_2)
    | ~ product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_389,c_0_447]),
    [final] ).

cnf(c_0_473,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | ~ product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_456]),c_0_304]),
    [final] ).

cnf(c_0_477,negated_conjecture,
    ( product(e_4,e_4,e_3)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_412]),c_0_400]),c_0_459]),
    [final] ).

cnf(c_0_482,negated_conjecture,
    ( product(e_4,e_2,e_3)
    | ~ product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_465,c_0_466]),
    [final] ).

cnf(c_0_483,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_4) ),
    inference(sr,[status(thm)],[c_0_439,c_0_364]),
    [final] ).

cnf(c_0_484,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | product(e_2,e_4,e_1) ),
    inference(sr,[status(thm)],[c_0_440,c_0_364]),
    [final] ).

cnf(c_0_485,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | ~ product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_467]),c_0_304]),
    [final] ).

cnf(c_0_488,negated_conjecture,
    ( product(X1,e_3,e_3)
    | ~ product(e_2,e_3,e_2)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_286]),
    [final] ).

cnf(c_0_490,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | product(e_1,e_4,e_3) ),
    inference(sr,[status(thm)],[c_0_351,c_0_364]),
    [final] ).

cnf(c_0_492,negated_conjecture,
    ( product(e_1,e_4,e_3)
    | product(e_4,e_2,e_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_471]),c_0_404])]),
    [final] ).

cnf(c_0_493,negated_conjecture,
    ( ~ product(e_4,e_4,e_3)
    | ~ product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_472,c_0_473]),
    [final] ).

cnf(c_0_494,negated_conjecture,
    ( product(e_4,e_4,e_3)
    | ~ product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_118,c_0_406]),
    [final] ).

cnf(c_0_502,negated_conjecture,
    ( product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2) ),
    inference(sr,[status(thm)],[c_0_173,c_0_364]),
    [final] ).

cnf(c_0_503,negated_conjecture,
    ( product(e_4,e_4,e_3)
    | ~ product(e_3,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_156,c_0_477]),
    [final] ).

cnf(c_0_507,negated_conjecture,
    ( product(e_3,e_3,e_3)
    | ~ product(e_2,e_2,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_182]),c_0_62]),
    [final] ).

cnf(c_0_509,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_2,e_1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_279]),c_0_239]),c_0_281]),
    [final] ).

cnf(c_0_514,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | ~ product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_482]),c_0_400]),
    [final] ).

cnf(c_0_515,negated_conjecture,
    ~ product(e_4,e_3,e_4),
    inference(spm,[status(thm)],[c_0_238,c_0_443]),
    [final] ).

cnf(c_0_516,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | ~ product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_424,c_0_483]),
    [final] ).

cnf(c_0_517,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | ~ product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_424,c_0_484]),
    [final] ).

cnf(c_0_518,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | ~ product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_102,c_0_415]),
    [final] ).

cnf(c_0_519,negated_conjecture,
    ( ~ product(e_4,e_4,e_3)
    | ~ product(e_3,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_472,c_0_485]),
    [final] ).

cnf(c_0_520,negated_conjecture,
    ( product(e_1,e_3,e_3)
    | product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[c_0_486,c_0_364]),
    [final] ).

cnf(c_0_521,negated_conjecture,
    ( product(e_1,e_3,e_3)
    | product(e_2,e_4,e_1) ),
    inference(sr,[status(thm)],[c_0_487,c_0_364]),
    [final] ).

cnf(c_0_522,negated_conjecture,
    ( product(X1,e_3,e_3)
    | ~ product(e_2,e_2,e_1)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_488,c_0_265]),
    [final] ).

cnf(c_0_523,plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2) ),
    inference(sr,[status(thm)],[c_0_489,c_0_346]),
    [final] ).

cnf(c_0_524,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | ~ product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_130,c_0_490]),
    [final] ).

cnf(c_0_526,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | ~ product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_130,c_0_409]),
    [final] ).

cnf(c_0_527,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | ~ product(e_1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_86,c_0_492]),
    [final] ).

cnf(c_0_528,negated_conjecture,
    ( product(e_4,e_2,e_3)
    | ~ product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_493,c_0_466]),
    [final] ).

cnf(c_0_529,negated_conjecture,
    ( ~ product(e_4,e_4,e_3)
    | ~ product(e_2,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_130,c_0_380]),
    [final] ).

cnf(c_0_530,negated_conjecture,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_465,c_0_494]),
    [final] ).

cnf(c_0_531,negated_conjecture,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_2,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_102,c_0_286]),
    [final] ).

cnf(c_0_533,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[c_0_495,c_0_416]),
    [final] ).

cnf(c_0_541,negated_conjecture,
    ( product(e_4,e_4,e_3)
    | ~ product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_62,c_0_477]),
    [final] ).

cnf(c_0_542,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(X1,e_3,e_2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_502]),
    [final] ).

cnf(c_0_543,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | product(e_4,e_2,e_3) ),
    inference(sr,[status(thm)],[c_0_338,c_0_364]),
    [final] ).

cnf(c_0_545,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | ~ product(e_3,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_93,c_0_502]),
    [final] ).

cnf(c_0_546,negated_conjecture,
    ( ~ product(e_4,e_2,e_3)
    | ~ product(e_3,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_104,c_0_503]),
    [final] ).

cnf(c_0_547,negated_conjecture,
    ( ~ product(e_4,e_2,e_3)
    | ~ product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_104,c_0_494]),
    [final] ).

cnf(c_0_548,negated_conjecture,
    ( product(X1,e_4,e_3)
    | ~ product(e_2,e_3,e_2)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_348]),
    [final] ).

cnf(c_0_549,negated_conjecture,
    ( product(X1,e_3,e_4)
    | ~ product(e_2,e_3,e_2)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_277]),
    [final] ).

cnf(c_0_550,negated_conjecture,
    ( product(X1,e_2,e_2)
    | ~ product(e_2,e_3,e_2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_271]),
    [final] ).

cnf(c_0_552,plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_3) ),
    inference(sr,[status(thm)],[c_0_504,c_0_378]),
    [final] ).

cnf(c_0_553,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | ~ product(e_2,e_2,e_2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_249]),c_0_506]),c_0_74]),
    [final] ).

cnf(c_0_554,negated_conjecture,
    ( ~ product(e_3,e_2,e_3)
    | ~ product(e_2,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_74,c_0_507]),
    [final] ).

cnf(c_0_556,negated_conjecture,
    ~ product(e_2,e_4,e_3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_509]),c_0_510]),
    [final] ).

cnf(c_0_557,negated_conjecture,
    ( product(X1,e_2,e_1)
    | ~ product(e_4,e_1,e_1)
    | ~ product(e_1,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_145]),
    [final] ).

cnf(c_0_560,plain,
    ( product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3)
    | product(e_3,e_1,e_4) ),
    inference(sr,[status(thm)],[c_0_179,c_0_438]),
    [final] ).

cnf(c_0_561,plain,
    ( product(e_1,e_4,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_1) ),
    inference(sr,[status(thm)],[c_0_123,c_0_407]),
    [final] ).

cnf(c_0_562,negated_conjecture,
    ( product(X1,e_2,e_1)
    | ~ product(e_3,e_3,e_3)
    | ~ product(e_1,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_514]),
    [final] ).

cnf(c_0_563,negated_conjecture,
    ( product(X1,e_3,e_2)
    | ~ product(e_3,e_3,e_3)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_482]),
    [final] ).

cnf(c_0_564,negated_conjecture,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_209]),c_0_364]),c_0_515]),
    [final] ).

cnf(c_0_565,negated_conjecture,
    ( product(X1,e_3,e_3)
    | ~ product(e_4,e_4,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_447]),
    [final] ).

cnf(c_0_566,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_516,c_0_397]),
    [final] ).

cnf(c_0_567,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_517,c_0_397]),
    [final] ).

cnf(c_0_568,negated_conjecture,
    ( product(e_3,e_3,e_3)
    | ~ product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_467]),c_0_304]),
    [final] ).

cnf(c_0_569,negated_conjecture,
    ( product(X1,e_4,e_1)
    | ~ product(e_3,e_3,e_3)
    | ~ product(e_1,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_518]),
    [final] ).

cnf(c_0_570,negated_conjecture,
    ( product(e_4,e_2,e_3)
    | ~ product(e_3,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_519,c_0_466]),
    [final] ).

cnf(c_0_571,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ product(e_4,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_145]),
    [final] ).

cnf(c_0_572,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(X1,e_3,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_520]),
    [final] ).

cnf(c_0_573,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(X1,e_3,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_521]),
    [final] ).

cnf(c_0_574,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(X1,e_3,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_522,c_0_523]),
    [final] ).

cnf(c_0_575,negated_conjecture,
    ( ~ product(e_3,e_3,e_4)
    | ~ product(e_3,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_467]),
    [final] ).

cnf(c_0_576,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | ~ product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_524,c_0_494]),
    [final] ).

cnf(c_0_577,negated_conjecture,
    ( product(e_1,e_1,e_2)
    | product(e_3,e_1,e_4) ),
    inference(sr,[status(thm)],[c_0_525,c_0_438]),
    [final] ).

cnf(c_0_578,negated_conjecture,
    ( product(e_4,e_2,e_3)
    | product(e_3,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_526,c_0_466]),
    [final] ).

cnf(c_0_579,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_414,c_0_295]),
    [final] ).

cnf(c_0_580,negated_conjecture,
    ( product(X1,e_2,e_3)
    | ~ product(e_3,e_3,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_300]),
    [final] ).

cnf(c_0_581,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_527,c_0_295]),
    [final] ).

cnf(c_0_583,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | ~ product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_528]),c_0_400]),
    [final] ).

cnf(c_0_584,negated_conjecture,
    ( product(e_4,e_2,e_3)
    | ~ product(e_2,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_529,c_0_466]),
    [final] ).

cnf(c_0_585,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | ~ product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_530,c_0_397]),
    [final] ).

cnf(c_0_586,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | ~ product(e_2,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_531,c_0_397]),
    [final] ).

cnf(c_0_587,plain,
    ( ~ product(e_4,e_1,e_2)
    | ~ product(e_1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_117]),
    [final] ).

cnf(c_0_588,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(e_3,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_533]),c_0_377]),c_0_378]),c_0_364]),
    [final] ).

cnf(c_0_589,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_4,e_2,e_2) ),
    inference(sr,[status(thm)],[c_0_534,c_0_364]),
    [final] ).

cnf(c_0_590,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_4,e_4,e_3) ),
    inference(sr,[status(thm)],[c_0_468,c_0_364]),
    [final] ).

cnf(c_0_591,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(e_1,e_4,e_3) ),
    inference(sr,[status(thm)],[c_0_535,c_0_364]),
    [final] ).

cnf(c_0_592,negated_conjecture,
    ( product(e_3,e_2,e_1)
    | product(e_4,e_2,e_2) ),
    inference(sr,[status(thm)],[c_0_536,c_0_364]),
    [final] ).

cnf(c_0_593,negated_conjecture,
    ( product(e_1,e_3,e_3)
    | product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[c_0_537,c_0_364]),
    [final] ).

cnf(c_0_594,negated_conjecture,
    ( product(e_3,e_2,e_1)
    | product(e_4,e_4,e_3) ),
    inference(sr,[status(thm)],[c_0_476,c_0_364]),
    [final] ).

cnf(c_0_595,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(e_4,e_2,e_3) ),
    inference(sr,[status(thm)],[c_0_382,c_0_364]),
    [final] ).

cnf(c_0_596,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[c_0_497,c_0_364]),
    [final] ).

cnf(c_0_597,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[c_0_360,c_0_364]),
    [final] ).

cnf(c_0_598,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[c_0_343,c_0_364]),
    [final] ).

cnf(c_0_599,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2) ),
    inference(sr,[status(thm)],[c_0_538,c_0_364]),
    [final] ).

cnf(c_0_600,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_4,e_4,e_3) ),
    inference(sr,[status(thm)],[c_0_469,c_0_364]),
    [final] ).

cnf(c_0_601,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[c_0_539,c_0_364]),
    [final] ).

cnf(c_0_602,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[c_0_540,c_0_364]),
    [final] ).

cnf(c_0_603,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_4) ),
    inference(sr,[status(thm)],[c_0_289,c_0_364]),
    [final] ).

cnf(c_0_604,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[c_0_433,c_0_364]),
    [final] ).

cnf(c_0_605,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[c_0_230,c_0_364]),
    [final] ).

cnf(c_0_606,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(e_3,e_3,e_4) ),
    inference(sr,[status(thm)],[c_0_283,c_0_364]),
    [final] ).

cnf(c_0_607,negated_conjecture,
    ( product(e_4,e_4,e_3)
    | product(e_3,e_1,e_4) ),
    inference(sr,[status(thm)],[c_0_269,c_0_364]),
    [final] ).

cnf(c_0_608,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(e_3,e_1,e_4) ),
    inference(sr,[status(thm)],[c_0_259,c_0_364]),
    [final] ).

cnf(c_0_609,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(e_4,e_2,e_3) ),
    inference(sr,[status(thm)],[c_0_418,c_0_364]),
    [final] ).

cnf(c_0_610,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(e_2,e_4,e_4) ),
    inference(sr,[status(thm)],[c_0_217,c_0_364]),
    [final] ).

cnf(c_0_611,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(e_4,e_2,e_3) ),
    inference(sr,[status(thm)],[c_0_221,c_0_364]),
    [final] ).

cnf(c_0_612,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(e_2,e_2,e_1) ),
    inference(sr,[status(thm)],[c_0_208,c_0_364]),
    [final] ).

cnf(c_0_613,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[c_0_189,c_0_364]),
    [final] ).

cnf(c_0_614,negated_conjecture,
    ( product(e_3,e_3,e_3)
    | product(e_4,e_2,e_2) ),
    inference(sr,[status(thm)],[c_0_182,c_0_364]),
    [final] ).

cnf(c_0_615,negated_conjecture,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_465,c_0_541]),
    [final] ).

cnf(c_0_616,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | ~ product(e_2,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_247]),c_0_331]),
    [final] ).

cnf(c_0_617,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | ~ product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_389,c_0_543]),
    [final] ).

cnf(c_0_618,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(e_1,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_404])]),c_0_407]),
    [final] ).

cnf(c_0_619,plain,
    ( product(e_1,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_404])]),c_0_407]),
    [final] ).

cnf(c_0_620,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[c_0_474,c_0_416]),
    [final] ).

cnf(c_0_621,negated_conjecture,
    ( product(e_3,e_3,e_3)
    | product(e_2,e_2,e_1) ),
    inference(sr,[status(thm)],[c_0_544,c_0_416]),
    [final] ).

cnf(c_0_622,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_2,e_2,e_1) ),
    inference(sr,[status(thm)],[c_0_329,c_0_416]),
    [final] ).

cnf(c_0_623,negated_conjecture,
    ( product(e_3,e_3,e_3)
    | product(e_4,e_4,e_3) ),
    inference(sr,[status(thm)],[c_0_160,c_0_416]),
    [final] ).

cnf(c_0_624,negated_conjecture,
    ( product(e_4,e_4,e_3)
    | ~ product(e_3,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_545]),c_0_364]),
    [final] ).

cnf(c_0_626,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | ~ product(e_3,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_546,c_0_502]),
    [final] ).

cnf(c_0_627,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | ~ product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_547,c_0_502]),
    [final] ).

cnf(c_0_628,negated_conjecture,
    ( product(X1,e_4,e_3)
    | ~ product(e_2,e_2,e_1)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_548,c_0_265]),
    [final] ).

cnf(c_0_629,negated_conjecture,
    ( product(X1,e_3,e_4)
    | ~ product(e_2,e_2,e_1)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_549,c_0_265]),
    [final] ).

cnf(c_0_630,negated_conjecture,
    ( product(X1,e_2,e_2)
    | ~ product(e_2,e_2,e_1)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_550,c_0_265]),
    [final] ).

cnf(c_0_631,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | ~ product(e_3,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_93,c_0_543]),
    [final] ).

cnf(c_0_632,negated_conjecture,
    ( product(e_3,e_2,e_1)
    | ~ product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_442]),c_0_364]),
    [final] ).

cnf(c_0_633,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | ~ product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_442]),c_0_364]),
    [final] ).

cnf(c_0_634,plain,
    ( product(e_3,e_2,e_3)
    | ~ product(e_2,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_552]),
    [final] ).

cnf(c_0_635,negated_conjecture,
    ( product(X1,e_2,e_3)
    | ~ product(e_2,e_2,e_1)
    | ~ product(e_3,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_265]),
    [final] ).

cnf(c_0_636,negated_conjecture,
    ( product(X1,e_4,e_4)
    | ~ product(e_2,e_2,e_1)
    | ~ product(e_4,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_247]),
    [final] ).

cnf(c_0_637,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | ~ product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_120,c_0_354]),
    [final] ).

cnf(c_0_638,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | ~ product(e_2,e_2,e_2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_553]),c_0_377]),c_0_95]),c_0_554]),
    [final] ).

cnf(c_0_639,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_4,e_1) ),
    inference(sr,[status(thm)],[c_0_555,c_0_292]),
    [final] ).

cnf(c_0_640,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_4) ),
    inference(sr,[status(thm)],[c_0_464,c_0_292]),
    [final] ).

cnf(c_0_641,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[c_0_257,c_0_292]),
    [final] ).

cnf(c_0_642,plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_4) ),
    inference(sr,[status(thm)],[c_0_171,c_0_556]),
    [final] ).

cnf(c_0_645,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | ~ product(e_2,e_2,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_218]),c_0_88]),
    [final] ).

cnf(c_0_646,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | ~ product(e_2,e_2,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_507]),c_0_62]),
    [final] ).

cnf(c_0_649,plain,
    ( ~ product(e_4,e_1,e_2)
    | ~ product(e_1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_126]),
    [final] ).

cnf(c_0_651,axiom,
    greater(e_2,e_1),
    e_2_greater_e_1,
    [final] ).

cnf(c_0_652,axiom,
    greater(e_3,e_1),
    e_3_greater_e_1,
    [final] ).

cnf(c_0_653,axiom,
    greater(e_4,e_1),
    e_4_greater_e_1,
    [final] ).

cnf(c_0_665,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(e_4,e_1,e_3)
    | product(X1,e_4,e_1)
    | ~ product(e_1,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_560]),
    [final] ).

cnf(c_0_666,plain,
    ( product(e_3,e_1,e_4)
    | product(e_4,e_1,e_3)
    | ~ product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_114,c_0_560]),
    [final] ).

cnf(c_0_667,negated_conjecture,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(X1,e_2,e_1)
    | ~ product(e_1,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_561]),
    [final] ).

cnf(c_0_668,negated_conjecture,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(X1,e_1,e_4)
    | ~ product(e_4,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_561]),
    [final] ).

cnf(c_0_669,negated_conjecture,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | ~ product(e_3,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_184,c_0_485]),
    [final] ).

cnf(c_0_670,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(X1,e_2,e_1)
    | ~ product(e_1,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_453,c_0_450]),
    [final] ).

cnf(c_0_671,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(X1,e_1,e_1)
    | ~ product(e_1,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_450]),
    [final] ).

cnf(c_0_672,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_409]),
    [final] ).

cnf(c_0_673,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | product(X1,e_2,e_1)
    | ~ product(e_1,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_562,c_0_397]),
    [final] ).

cnf(c_0_674,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | product(X1,e_3,e_2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_563,c_0_397]),
    [final] ).

cnf(c_0_675,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(X1,e_3,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_564]),
    [final] ).

cnf(c_0_676,negated_conjecture,
    ( product(e_4,e_2,e_3)
    | product(X1,e_3,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_565,c_0_466]),
    [final] ).

cnf(c_0_677,negated_conjecture,
    ( product(e_4,e_2,e_3)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_466]),
    [final] ).

cnf(c_0_678,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(X1,e_3,e_2)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_566]),
    [final] ).

cnf(c_0_679,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(X1,e_3,e_2)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_567]),
    [final] ).

cnf(c_0_680,negated_conjecture,
    ( product(X1,e_3,e_2)
    | ~ product(e_3,e_2,e_1)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_563,c_0_568]),
    [final] ).

cnf(c_0_681,negated_conjecture,
    ( product(X1,e_2,e_1)
    | ~ product(e_3,e_2,e_1)
    | ~ product(e_1,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_562,c_0_568]),
    [final] ).

cnf(c_0_682,negated_conjecture,
    ( product(X1,e_3,e_3)
    | ~ product(e_3,e_2,e_1)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_568]),
    [final] ).

cnf(c_0_683,negated_conjecture,
    ( product(X1,e_2,e_3)
    | ~ product(e_3,e_2,e_1)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_485]),
    [final] ).

cnf(c_0_684,negated_conjecture,
    ( product(X1,e_4,e_1)
    | ~ product(e_3,e_2,e_1)
    | ~ product(e_1,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_467]),
    [final] ).

cnf(c_0_685,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | product(X1,e_4,e_1)
    | ~ product(e_1,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_569,c_0_397]),
    [final] ).

cnf(c_0_686,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | ~ product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_570]),c_0_400]),
    [final] ).

cnf(c_0_687,negated_conjecture,
    ( ~ product(e_3,e_2,e_1)
    | ~ product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_519,c_0_541]),
    [final] ).

cnf(c_0_688,negated_conjecture,
    ( ~ product(e_4,e_1,e_1)
    | ~ product(e_3,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_571,c_0_485]),
    [final] ).

cnf(c_0_689,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | ~ product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_467]),c_0_304]),
    [final] ).

cnf(c_0_690,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | ~ product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_467]),c_0_304]),
    [final] ).

cnf(c_0_691,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | ~ product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_467]),c_0_304]),
    [final] ).

cnf(c_0_692,negated_conjecture,
    ( ~ product(e_3,e_2,e_1)
    | ~ product(e_2,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_575,c_0_348]),
    [final] ).

cnf(c_0_693,negated_conjecture,
    ( ~ product(e_3,e_2,e_1)
    | ~ product(e_2,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_575,c_0_576]),
    [final] ).

cnf(c_0_694,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | ~ product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_130,c_0_577]),
    [final] ).

cnf(c_0_695,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | product(e_4,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_578]),c_0_400]),
    [final] ).

cnf(c_0_696,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | ~ product(e_3,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_120,c_0_425]),
    [final] ).

cnf(c_0_697,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | ~ product(e_4,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_571,c_0_579]),
    [final] ).

cnf(c_0_698,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | ~ product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_526,c_0_541]),
    [final] ).

cnf(c_0_699,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | product(X1,e_2,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_580,c_0_397]),
    [final] ).

cnf(c_0_700,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | product(X1,e_3,e_3)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_397]),
    [final] ).

cnf(c_0_701,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(X1,e_2,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_581]),
    [final] ).

cnf(c_0_702,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_492]),
    [final] ).

cnf(c_0_703,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | ~ product(e_3,e_1,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_582]),c_0_226]),
    [final] ).

cnf(c_0_704,negated_conjecture,
    ( product(X1,e_2,e_1)
    | ~ product(e_2,e_3,e_4)
    | ~ product(e_1,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_583]),
    [final] ).

cnf(c_0_705,negated_conjecture,
    ( product(X1,e_3,e_2)
    | ~ product(e_2,e_3,e_4)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_528]),
    [final] ).

cnf(c_0_706,negated_conjecture,
    ( product(X1,e_3,e_2)
    | ~ product(e_2,e_2,e_2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_584]),
    [final] ).

cnf(c_0_707,negated_conjecture,
    ( product(X1,e_3,e_2)
    | ~ product(e_2,e_4,e_4)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_585]),
    [final] ).

cnf(c_0_708,negated_conjecture,
    ( product(X1,e_3,e_2)
    | ~ product(e_2,e_3,e_2)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_586]),
    [final] ).

cnf(c_0_709,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | ~ product(e_4,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_571,c_0_581]),
    [final] ).

cnf(c_0_710,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | ~ product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_130,c_0_492]),
    [final] ).

cnf(c_0_711,negated_conjecture,
    ( product(e_4,e_2,e_2)
    | product(X1,e_2,e_1)
    | ~ product(e_1,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_455]),
    [final] ).

cnf(c_0_712,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | ~ product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_587,c_0_561]),
    [final] ).

cnf(c_0_713,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | ~ product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_561]),
    [final] ).

cnf(c_0_714,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | ~ product(e_4,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_561]),
    [final] ).

cnf(c_0_715,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | ~ product(e_1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_561]),
    [final] ).

cnf(c_0_716,negated_conjecture,
    ( product(e_4,e_4,e_3)
    | product(X1,e_2,e_1)
    | ~ product(e_1,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_477]),
    [final] ).

cnf(c_0_717,negated_conjecture,
    ( product(e_4,e_4,e_3)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_412]),
    [final] ).

cnf(c_0_718,negated_conjecture,
    ( product(e_4,e_4,e_3)
    | product(X1,e_4,e_4)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_406]),
    [final] ).

cnf(c_0_719,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(X1,e_3,e_2)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_588]),
    [final] ).

cnf(c_0_720,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(X1,e_2,e_1)
    | ~ product(e_1,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_393]),
    [final] ).

cnf(c_0_721,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(X1,e_2,e_2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_589]),
    [final] ).

cnf(c_0_722,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | ~ product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_389,c_0_564]),
    [final] ).

cnf(c_0_723,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_590]),
    [final] ).

cnf(c_0_724,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_591]),
    [final] ).

cnf(c_0_725,negated_conjecture,
    ( product(e_3,e_2,e_1)
    | product(X1,e_2,e_2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_592]),
    [final] ).

cnf(c_0_726,negated_conjecture,
    ( product(e_3,e_2,e_1)
    | product(X1,e_3,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_593]),
    [final] ).

cnf(c_0_727,negated_conjecture,
    ( product(e_3,e_2,e_1)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_594]),
    [final] ).

cnf(c_0_728,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(X1,e_3,e_2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_595]),
    [final] ).

cnf(c_0_729,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(X1,e_4,e_3)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_483]),
    [final] ).

cnf(c_0_730,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(X1,e_1,e_2)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_596]),
    [final] ).

cnf(c_0_731,negated_conjecture,
    ( product(e_3,e_2,e_1)
    | product(X1,e_4,e_3)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_597]),
    [final] ).

cnf(c_0_732,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_490]),
    [final] ).

cnf(c_0_733,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(X1,e_4,e_1)
    | ~ product(e_1,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_423]),
    [final] ).

cnf(c_0_734,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | product(X1,e_2,e_1)
    | ~ product(e_1,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_598]),
    [final] ).

cnf(c_0_735,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(X1,e_2,e_2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_599]),
    [final] ).

cnf(c_0_736,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_600]),
    [final] ).

cnf(c_0_737,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | product(X1,e_3,e_2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_543]),
    [final] ).

cnf(c_0_738,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(X1,e_1,e_2)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_601]),
    [final] ).

cnf(c_0_739,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(X1,e_1,e_2)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_602]),
    [final] ).

cnf(c_0_740,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(X1,e_4,e_3)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_484]),
    [final] ).

cnf(c_0_741,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | product(X1,e_2,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_603]),
    [final] ).

cnf(c_0_742,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(X1,e_2,e_1)
    | ~ product(e_1,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_604]),
    [final] ).

cnf(c_0_743,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(X1,e_2,e_1)
    | ~ product(e_1,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_605]),
    [final] ).

cnf(c_0_744,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | product(X1,e_4,e_1)
    | ~ product(e_1,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_606]),
    [final] ).

cnf(c_0_745,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(X1,e_3,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_415]),
    [final] ).

cnf(c_0_746,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_607]),
    [final] ).

cnf(c_0_747,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | product(X1,e_2,e_2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_608]),
    [final] ).

cnf(c_0_748,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(X1,e_3,e_2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_609]),
    [final] ).

cnf(c_0_749,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(X1,e_4,e_1)
    | ~ product(e_1,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_610]),
    [final] ).

cnf(c_0_750,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(X1,e_3,e_2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_611]),
    [final] ).

cnf(c_0_751,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(X1,e_4,e_1)
    | ~ product(e_1,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_612]),
    [final] ).

cnf(c_0_752,negated_conjecture,
    ( product(e_1,e_4,e_4)
    | product(e_1,e_4,e_3)
    | ~ product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_396,c_0_442]),
    [final] ).

cnf(c_0_753,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(X1,e_2,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_580,c_0_613]),
    [final] ).

cnf(c_0_754,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(X1,e_3,e_3)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_613]),
    [final] ).

cnf(c_0_755,negated_conjecture,
    ( product(e_3,e_3,e_3)
    | product(X1,e_2,e_2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_614]),
    [final] ).

cnf(c_0_756,negated_conjecture,
    ( ~ product(e_3,e_3,e_3)
    | ~ product(e_2,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_615,c_0_616]),
    [final] ).

cnf(c_0_757,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | ~ product(e_2,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_617,c_0_616]),
    [final] ).

cnf(c_0_758,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_618]),
    [final] ).

cnf(c_0_759,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_619]),
    [final] ).

cnf(c_0_760,negated_conjecture,
    ( product(e_1,e_3,e_3)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_434]),
    [final] ).

cnf(c_0_761,negated_conjecture,
    ( product(e_3,e_2,e_3)
    | product(X1,e_1,e_2)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_552]),
    [final] ).

cnf(c_0_762,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(X1,e_2,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_580,c_0_620]),
    [final] ).

cnf(c_0_763,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(X1,e_3,e_3)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_620]),
    [final] ).

cnf(c_0_764,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(X1,e_3,e_3)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_621]),
    [final] ).

cnf(c_0_765,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(X1,e_2,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_622]),
    [final] ).

cnf(c_0_766,negated_conjecture,
    ( product(e_3,e_3,e_3)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_623]),
    [final] ).

cnf(c_0_767,negated_conjecture,
    ( product(e_3,e_3,e_3)
    | product(X1,e_4,e_3)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_430]),
    [final] ).

cnf(c_0_768,negated_conjecture,
    ( product(X1,e_3,e_3)
    | ~ product(e_2,e_4,e_4)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_565,c_0_494]),
    [final] ).

cnf(c_0_769,negated_conjecture,
    ( product(X1,e_3,e_3)
    | ~ product(e_3,e_2,e_3)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_565,c_0_624]),
    [final] ).

cnf(c_0_770,negated_conjecture,
    ( product(X1,e_3,e_3)
    | ~ product(e_4,e_2,e_2)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_565,c_0_541]),
    [final] ).

cnf(c_0_771,negated_conjecture,
    ( product(X1,e_3,e_3)
    | ~ product(e_3,e_1,e_1)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_565,c_0_503]),
    [final] ).

cnf(c_0_772,negated_conjecture,
    ( product(e_1,e_4,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_1,e_2) ),
    inference(sr,[status(thm)],[c_0_625,c_0_407]),
    [final] ).

cnf(c_0_773,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(X1,e_2,e_1)
    | ~ product(e_1,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_354]),
    [final] ).

cnf(c_0_774,negated_conjecture,
    ( product(X1,e_2,e_2)
    | ~ product(e_3,e_1,e_1)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_626]),
    [final] ).

cnf(c_0_775,negated_conjecture,
    ( product(X1,e_3,e_4)
    | ~ product(e_3,e_1,e_1)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_503]),
    [final] ).

cnf(c_0_776,negated_conjecture,
    ( product(X1,e_3,e_4)
    | ~ product(e_4,e_2,e_2)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_541]),
    [final] ).

cnf(c_0_777,negated_conjecture,
    ( product(X1,e_2,e_2)
    | ~ product(e_2,e_4,e_4)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_627]),
    [final] ).

cnf(c_0_778,negated_conjecture,
    ( product(X1,e_4,e_3)
    | ~ product(e_2,e_4,e_4)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_576]),
    [final] ).

cnf(c_0_779,negated_conjecture,
    ( product(X1,e_3,e_4)
    | ~ product(e_2,e_4,e_4)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_494]),
    [final] ).

cnf(c_0_780,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(X1,e_4,e_3)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_628,c_0_523]),
    [final] ).

cnf(c_0_781,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(X1,e_3,e_4)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_629,c_0_523]),
    [final] ).

cnf(c_0_782,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(X1,e_2,e_2)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_630,c_0_523]),
    [final] ).

cnf(c_0_783,negated_conjecture,
    ( product(X1,e_3,e_4)
    | ~ product(e_3,e_2,e_3)
    | ~ product(e_4,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_624]),
    [final] ).

cnf(c_0_784,negated_conjecture,
    ( product(X1,e_4,e_3)
    | ~ product(e_3,e_2,e_3)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_631]),
    [final] ).

cnf(c_0_785,negated_conjecture,
    ( product(X1,e_1,e_2)
    | ~ product(e_2,e_3,e_4)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_632]),
    [final] ).

cnf(c_0_786,negated_conjecture,
    ( product(X1,e_1,e_4)
    | ~ product(e_2,e_3,e_4)
    | ~ product(e_4,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_633]),
    [final] ).

cnf(c_0_787,negated_conjecture,
    ( product(X1,e_4,e_1)
    | ~ product(e_2,e_3,e_4)
    | ~ product(e_1,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_456]),
    [final] ).

cnf(c_0_788,negated_conjecture,
    ( product(X1,e_2,e_2)
    | ~ product(e_3,e_2,e_3)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_545]),
    [final] ).

cnf(c_0_789,negated_conjecture,
    ( product(X1,e_3,e_2)
    | ~ product(e_2,e_2,e_1)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_634]),
    [final] ).

cnf(c_0_790,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(X1,e_2,e_3)
    | ~ product(e_3,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_635,c_0_523]),
    [final] ).

cnf(c_0_791,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(X1,e_4,e_4)
    | ~ product(e_4,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_636,c_0_523]),
    [final] ).

cnf(c_0_792,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(X1,e_1,e_2)
    | ~ product(e_2,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_523]),
    [final] ).

cnf(c_0_793,negated_conjecture,
    ( ~ product(e_2,e_3,e_4)
    | ~ product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_493,c_0_541]),
    [final] ).

cnf(c_0_794,negated_conjecture,
    ( product(e_4,e_4,e_3)
    | ~ product(e_4,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_571,c_0_435]),
    [final] ).

cnf(c_0_795,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_104,c_0_449]),
    [final] ).

cnf(c_0_796,negated_conjecture,
    ( product(X1,e_2,e_3)
    | ~ product(e_2,e_3,e_4)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_580,c_0_442]),
    [final] ).

cnf(c_0_797,negated_conjecture,
    ( product(X1,e_3,e_3)
    | ~ product(e_2,e_3,e_4)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_442]),
    [final] ).

cnf(c_0_798,negated_conjecture,
    ( ~ product(e_3,e_1,e_1)
    | ~ product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_288,c_0_473]),
    [final] ).

cnf(c_0_799,negated_conjecture,
    ( ~ product(e_4,e_1,e_1)
    | ~ product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_571,c_0_473]),
    [final] ).

cnf(c_0_800,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | ~ product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_389,c_0_520]),
    [final] ).

cnf(c_0_801,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_104,c_0_590]),
    [final] ).

cnf(c_0_802,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | ~ product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_130,c_0_591]),
    [final] ).

cnf(c_0_803,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | ~ product(e_1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_86,c_0_591]),
    [final] ).

cnf(c_0_804,negated_conjecture,
    ( product(e_3,e_2,e_1)
    | ~ product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_389,c_0_593]),
    [final] ).

cnf(c_0_805,negated_conjecture,
    ( product(e_3,e_2,e_1)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_104,c_0_594]),
    [final] ).

cnf(c_0_806,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | ~ product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_389,c_0_595]),
    [final] ).

cnf(c_0_807,negated_conjecture,
    ( product(e_3,e_2,e_1)
    | ~ product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_424,c_0_597]),
    [final] ).

cnf(c_0_808,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | ~ product(e_1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_86,c_0_490]),
    [final] ).

cnf(c_0_809,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | ~ product(e_3,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_120,c_0_423]),
    [final] ).

cnf(c_0_810,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | ~ product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_389,c_0_521]),
    [final] ).

cnf(c_0_811,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_104,c_0_600]),
    [final] ).

cnf(c_0_812,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | product(e_2,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_637,c_0_603]),
    [final] ).

cnf(c_0_813,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | ~ product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_389,c_0_415]),
    [final] ).

cnf(c_0_814,negated_conjecture,
    ( product(e_3,e_1,e_4)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_104,c_0_607]),
    [final] ).

cnf(c_0_815,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | ~ product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_389,c_0_609]),
    [final] ).

cnf(c_0_816,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | ~ product(e_3,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_120,c_0_610]),
    [final] ).

cnf(c_0_817,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | ~ product(e_4,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_389,c_0_611]),
    [final] ).

cnf(c_0_818,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | ~ product(e_3,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_120,c_0_612]),
    [final] ).

cnf(c_0_819,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | ~ product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_408,c_0_442]),
    [final] ).

cnf(c_0_820,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | ~ product(e_3,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_74,c_0_613]),
    [final] ).

cnf(c_0_821,negated_conjecture,
    ( product(e_3,e_3,e_3)
    | ~ product(e_1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_389,c_0_375]),
    [final] ).

cnf(c_0_822,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | ~ product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_130,c_0_618]),
    [final] ).

cnf(c_0_823,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | ~ product(e_1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_86,c_0_618]),
    [final] ).

cnf(c_0_824,plain,
    ( product(e_2,e_4,e_4)
    | ~ product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_130,c_0_619]),
    [final] ).

cnf(c_0_825,plain,
    ( product(e_2,e_4,e_4)
    | ~ product(e_1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_86,c_0_619]),
    [final] ).

cnf(c_0_826,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | ~ product(e_3,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_74,c_0_620]),
    [final] ).

cnf(c_0_827,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | ~ product(e_3,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_74,c_0_621]),
    [final] ).

cnf(c_0_828,negated_conjecture,
    ( ~ product(e_3,e_2,e_3)
    | ~ product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_74,c_0_442]),
    [final] ).

cnf(c_0_829,negated_conjecture,
    ( product(e_3,e_3,e_3)
    | ~ product(e_4,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_104,c_0_623]),
    [final] ).

cnf(c_0_830,negated_conjecture,
    ( product(X1,e_1,e_3)
    | ~ product(e_3,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_443]),
    [final] ).

cnf(c_0_831,negated_conjecture,
    ( product(X1,e_3,e_1)
    | ~ product(e_1,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_391]),
    [final] ).

cnf(c_0_832,negated_conjecture,
    ( product(e_1,e_3,e_2)
    | product(e_2,e_4,e_4) ),
    inference(sr,[status(thm)],[c_0_194,c_0_364]),
    [final] ).

cnf(c_0_833,negated_conjecture,
    ( product(X1,e_4,e_2)
    | ~ product(e_2,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_404]),
    [final] ).

cnf(c_0_834,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(e_1,e_3,e_2) ),
    inference(sr,[status(thm)],[c_0_326,c_0_416]),
    [final] ).

cnf(c_0_835,negated_conjecture,
    ( product(X1,e_2,e_4)
    | ~ product(e_4,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_369]),
    [final] ).

cnf(c_0_836,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | ~ product(e_4,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_130,c_0_354]),
    [final] ).

cnf(c_0_837,negated_conjecture,
    ( product(X1,e_2,e_1)
    | ~ product(e_2,e_2,e_2)
    | ~ product(e_1,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_638]),
    [final] ).

cnf(c_0_838,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(X1,e_1,e_4)
    | ~ product(e_4,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_639]),
    [final] ).

cnf(c_0_839,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(X1,e_4,e_4)
    | ~ product(e_4,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_640]),
    [final] ).

cnf(c_0_840,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | product(X1,e_4,e_3)
    | ~ product(e_3,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_641]),
    [final] ).

cnf(c_0_841,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(X1,e_4,e_3)
    | ~ product(e_3,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_287]),
    [final] ).

cnf(c_0_842,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | product(X1,e_1,e_4)
    | ~ product(e_4,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_642]),
    [final] ).

cnf(c_0_843,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(X1,e_1,e_4)
    | ~ product(e_4,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_509]),
    [final] ).

cnf(c_0_844,negated_conjecture,
    ( ~ product(e_3,e_1,e_1)
    | ~ product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_288,c_0_300]),
    [final] ).

cnf(c_0_845,negated_conjecture,
    ( ~ product(e_4,e_1,e_1)
    | ~ product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_571,c_0_300]),
    [final] ).

cnf(c_0_846,negated_conjecture,
    ( product(X1,e_3,e_4)
    | ~ product(e_2,e_2,e_2)
    | ~ product(e_4,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_380]),
    [final] ).

cnf(c_0_847,negated_conjecture,
    ( ~ product(e_1,e_3,e_3)
    | ~ product(e_2,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_86,c_0_380]),
    [final] ).

cnf(c_0_848,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | ~ product(e_2,e_4,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_555]),c_0_104]),
    [final] ).

cnf(c_0_849,negated_conjecture,
    ( product(X1,e_1,e_2)
    | ~ product(e_2,e_2,e_2)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_372]),
    [final] ).

cnf(c_0_850,negated_conjecture,
    ( product(e_1,e_4,e_3)
    | product(e_2,e_1,e_2)
    | ~ product(e_1,e_3,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_344]),c_0_102]),
    [final] ).

cnf(c_0_851,negated_conjecture,
    ( product(e_4,e_1,e_3)
    | product(e_2,e_3,e_4)
    | ~ product(e_4,e_4,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_643]),c_0_118]),
    [final] ).

cnf(c_0_852,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | ~ product(e_3,e_1,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_362]),c_0_290]),
    [final] ).

cnf(c_0_853,negated_conjecture,
    ( product(e_2,e_3,e_2)
    | ~ product(e_4,e_1,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_362]),c_0_202]),
    [final] ).

cnf(c_0_854,negated_conjecture,
    ( product(e_4,e_1,e_3)
    | product(e_2,e_4,e_1)
    | ~ product(e_4,e_4,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_644]),c_0_118]),
    [final] ).

cnf(c_0_855,negated_conjecture,
    ( product(e_3,e_3,e_4)
    | ~ product(e_4,e_1,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_289]),c_0_202]),
    [final] ).

cnf(c_0_856,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | ~ product(e_2,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_463,c_0_247]),
    [final] ).

cnf(c_0_857,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | ~ product(e_2,e_4,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_104]),
    [final] ).

cnf(c_0_858,negated_conjecture,
    ( ~ product(e_2,e_4,e_4)
    | ~ product(e_2,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_238,c_0_645]),
    [final] ).

cnf(c_0_859,negated_conjecture,
    ( product(X1,e_1,e_4)
    | ~ product(e_2,e_2,e_2)
    | ~ product(e_4,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_645]),
    [final] ).

cnf(c_0_860,negated_conjecture,
    ( product(X1,e_4,e_1)
    | ~ product(e_2,e_2,e_2)
    | ~ product(e_1,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_309]),
    [final] ).

cnf(c_0_861,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | ~ product(e_3,e_1,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_185]),c_0_290]),
    [final] ).

cnf(c_0_862,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | ~ product(e_4,e_1,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_185]),c_0_202]),
    [final] ).

cnf(c_0_863,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | ~ product(e_2,e_3,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_185]),c_0_120]),
    [final] ).

cnf(c_0_864,negated_conjecture,
    ( ~ product(e_4,e_2,e_3)
    | ~ product(e_2,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_104,c_0_277]),
    [final] ).

cnf(c_0_865,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | ~ product(e_3,e_1,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_194]),c_0_290]),
    [final] ).

cnf(c_0_866,negated_conjecture,
    ( product(e_2,e_4,e_4)
    | ~ product(e_4,e_1,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_194]),c_0_202]),
    [final] ).

cnf(c_0_867,negated_conjecture,
    ( product(X1,e_4,e_4)
    | ~ product(e_2,e_3,e_2)
    | ~ product(e_4,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_262]),
    [final] ).

cnf(c_0_868,negated_conjecture,
    ( ~ product(e_3,e_1,e_1)
    | ~ product(e_2,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_288,c_0_646]),
    [final] ).

cnf(c_0_869,negated_conjecture,
    ( ~ product(e_4,e_1,e_1)
    | ~ product(e_2,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_571,c_0_646]),
    [final] ).

cnf(c_0_870,negated_conjecture,
    ( product(X1,e_2,e_3)
    | ~ product(e_2,e_2,e_2)
    | ~ product(e_3,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_646]),
    [final] ).

cnf(c_0_871,negated_conjecture,
    ( product(X1,e_3,e_3)
    | ~ product(e_2,e_2,e_2)
    | ~ product(e_3,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_507]),
    [final] ).

cnf(c_0_872,negated_conjecture,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(X1,e_4,e_1)
    | ~ product(e_1,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_209]),
    [final] ).

cnf(c_0_873,negated_conjecture,
    ( product(X1,e_4,e_3)
    | ~ product(e_2,e_2,e_2)
    | ~ product(e_3,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_553]),
    [final] ).

cnf(c_0_874,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | ~ product(e_4,e_1,e_1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_89]),c_0_202]),c_0_120]),
    [final] ).

cnf(c_0_875,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | ~ product(e_1,e_3,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_126]),c_0_649]),
    [final] ).

cnf(c_0_876,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | ~ product(e_1,e_4,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_117]),c_0_587]),
    [final] ).

cnf(c_0_877,negated_conjecture,
    ( product(e_2,e_2,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | ~ product(e_1,e_4,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_117]),c_0_177]),
    [final] ).

cnf(c_0_878,negated_conjecture,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | ~ product(e_3,e_1,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_650]),c_0_288]),
    [final] ).

cnf(c_0_879,negated_conjecture,
    ( product(e_3,e_3,e_1)
    | ~ product(e_4,e_1,e_1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_100]),c_0_202]),c_0_120]),
    [final] ).

cnf(c_0_880,negated_conjecture,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | ~ product(e_1,e_3,e_4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_75]),c_0_74]),
    [final] ).

cnf(c_0_881,negated_conjecture,
    ( product(e_1,e_1,e_2)
    | product(X1,e_1,e_1)
    | ~ product(e_1,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_51]),
    [final] ).

cnf(c_0_882,plain,
    ( ~ product(X1,e_1,e_2)
    | ~ next(X1,e_1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_651]),
    [final] ).

cnf(c_0_883,plain,
    ( ~ product(X1,e_1,e_3)
    | ~ next(X1,e_1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_652]),
    [final] ).

cnf(c_0_884,plain,
    ( ~ product(X1,e_1,e_4)
    | ~ next(X1,e_1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_653]),
    [final] ).

cnf(c_0_885,negated_conjecture,
    ~ product(e_3,e_4,e_1),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_654]),c_0_304]),c_0_95]),
    [final] ).

cnf(c_0_886,negated_conjecture,
    ~ product(e_4,e_2,e_4),
    inference(spm,[status(thm)],[c_0_399,c_0_655]),
    [final] ).

cnf(c_0_887,negated_conjecture,
    ~ product(e_4,e_2,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_656,c_0_369])]),
    [final] ).

cnf(c_0_888,negated_conjecture,
    ~ product(e_2,e_3,e_3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_641]),c_0_389]),
    [final] ).

cnf(c_0_889,negated_conjecture,
    ~ product(e_2,e_3,e_1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_509]),c_0_74]),
    [final] ).

cnf(c_0_890,negated_conjecture,
    ~ product(e_2,e_1,e_1),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_657,c_0_185]),c_0_88]),c_0_62]),
    [final] ).

cnf(c_0_891,negated_conjecture,
    ~ product(e_1,e_2,e_1),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_185]),c_0_69]),c_0_50]),
    [final] ).

cnf(c_0_892,plain,
    ~ equalish(e_3,e_4),
    c_0_659,
    [final] ).

cnf(c_0_893,plain,
    ~ equalish(e_2,e_4),
    c_0_660,
    [final] ).

cnf(c_0_894,plain,
    ~ equalish(e_2,e_3),
    c_0_661,
    [final] ).

cnf(c_0_895,plain,
    ~ equalish(e_1,e_4),
    c_0_662,
    [final] ).

cnf(c_0_896,plain,
    ~ equalish(e_1,e_3),
    c_0_663,
    [final] ).

cnf(c_0_897,plain,
    ~ equalish(e_1,e_2),
    c_0_664,
    [final] ).

cnf(c_0_898,axiom,
    next(e_3,e_4),
    e_3_then_e_4,
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GRP133-2.004 : TPTP v8.1.2. Released v1.2.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 16:00:38 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.VFO8ntOUov/E---3.1_12677.p
% 2.29/300.04  # Version: 3.1.0
% 2.29/300.04  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.29/300.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.29/300.04  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.29/300.04  # Starting new_bool_3 with 300s (1) cores
% 2.29/300.04  # Starting new_bool_1 with 300s (1) cores
% 2.29/300.04  # Starting sh5l with 300s (1) cores
% 2.29/300.04  # new_bool_3 with pid 12777 completed with status 1
% 2.29/300.04  # Result found by new_bool_3
% 2.29/300.04  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.29/300.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.29/300.04  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.29/300.04  # Starting new_bool_3 with 300s (1) cores
% 2.29/300.04  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.29/300.04  # Search class: FGHNF-FFSM00-SFFFFFNN
% 2.29/300.04  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.29/300.04  # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 2.29/300.04  # G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 12786 completed with status 1
% 2.29/300.04  # Result found by G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 2.29/300.04  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.29/300.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.29/300.04  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.29/300.04  # Starting new_bool_3 with 300s (1) cores
% 2.29/300.04  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.29/300.04  # Search class: FGHNF-FFSM00-SFFFFFNN
% 2.29/300.04  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.29/300.04  # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 2.29/300.04  # Preprocessing time       : 0.001 s
% 2.29/300.04  # Presaturation interreduction done
% 2.29/300.04  
% 2.29/300.04  # No proof found!
% 2.29/300.04  # SZS status Satisfiable
% 2.29/300.04  # SZS output start Saturation
% See solution above
% 2.29/300.04  # Parsed axioms                        : 31
% 2.29/300.04  # Removed by relevancy pruning/SinE    : 0
% 2.29/300.04  # Initial clauses                      : 31
% 2.29/300.04  # Removed in clause preprocessing      : 0
% 2.29/300.04  # Initial clauses in saturation        : 31
% 2.29/300.04  # Processed clauses                    : 5626
% 2.29/300.04  # ...of these trivial                  : 17
% 2.29/300.04  # ...subsumed                          : 3944
% 2.29/300.04  # ...remaining for further processing  : 1665
% 2.29/300.04  # Other redundant clauses eliminated   : 0
% 2.29/300.04  # Clauses deleted for lack of memory   : 0
% 2.29/300.04  # Backward-subsumed                    : 941
% 2.29/300.04  # Backward-rewritten                   : 56
% 2.29/300.04  # Generated clauses                    : 10019
% 2.29/300.04  # ...of the previous two non-redundant : 9504
% 2.29/300.04  # ...aggressively subsumed             : 0
% 2.29/300.04  # Contextual simplify-reflections      : 312
% 2.29/300.04  # Paramodulations                      : 9887
% 2.29/300.04  # Factorizations                       : 0
% 2.29/300.04  # NegExts                              : 0
% 2.29/300.04  # Equation resolutions                 : 0
% 2.29/300.04  # Disequality decompositions           : 0
% 2.29/300.04  # Total rewrite steps                  : 86
% 2.29/300.04  # ...of those cached                   : 82
% 2.29/300.04  # Propositional unsat checks           : 0
% 2.29/300.04  #    Propositional check models        : 0
% 2.29/300.04  #    Propositional check unsatisfiable : 0
% 2.29/300.04  #    Propositional clauses             : 0
% 2.29/300.04  #    Propositional clauses after purity: 0
% 2.29/300.04  #    Propositional unsat core size     : 0
% 2.29/300.04  #    Propositional preprocessing time  : 0.000
% 2.29/300.04  #    Propositional encoding time       : 0.000
% 2.29/300.04  #    Propositional solver time         : 0.000
% 2.29/300.04  #    Success case prop preproc time    : 0.000
% 2.29/300.04  #    Success case prop encoding time   : 0.000
% 2.29/300.04  #    Success case prop solver time     : 0.000
% 2.29/300.04  # Current number of processed clauses  : 505
% 2.29/300.04  #    Positive orientable unit clauses  : 17
% 2.29/300.04  #    Positive unorientable unit clauses: 0
% 2.29/300.04  #    Negative unit clauses             : 42
% 2.29/300.04  #    Non-unit-clauses                  : 446
% 2.29/300.04  # Current number of unprocessed clauses: 0
% 2.29/300.04  # ...number of literals in the above   : 0
% 2.29/300.04  # Current number of archived formulas  : 0
% 2.29/300.04  # Current number of archived clauses   : 1160
% 2.29/300.04  # Clause-clause subsumption calls (NU) : 96299
% 2.29/300.04  # Rec. Clause-clause subsumption calls : 59737
% 2.29/300.04  # Non-unit clause-clause subsumptions  : 4440
% 2.29/300.04  # Unit Clause-clause subsumption calls : 2011
% 2.29/300.04  # Rewrite failures with RHS unbound    : 0
% 2.29/300.04  # BW rewrite match attempts            : 20
% 2.29/300.04  # BW rewrite match successes           : 4
% 2.29/300.04  # Condensation attempts                : 0
% 2.29/300.04  # Condensation successes               : 0
% 2.29/300.04  # Termbank termtop insertions          : 128908
% 2.29/300.04  # Search garbage collected termcells   : 56
% 2.29/300.04  
% 2.29/300.04  # -------------------------------------------------
% 2.29/300.04  # User time                : 0.242 s
% 2.29/300.04  # System time              : 0.006 s
% 2.29/300.04  # Total time               : 0.249 s
% 2.29/300.04  # Maximum resident set size: 1848 pages
% 2.29/300.04  
% 2.29/300.04  # -------------------------------------------------
% 2.29/300.04  # User time                : 0.243 s
% 2.29/300.04  # System time              : 0.010 s
% 2.29/300.04  # Total time               : 0.252 s
% 2.29/300.04  # Maximum resident set size: 1756 pages
% 2.29/300.04  % E---3.1 exiting
%------------------------------------------------------------------------------