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E---3.5.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GRP125-2.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:38:01 PM UTC 2026

% Result   : Satisfiable 0.26s 0.55s
% Output   : Saturation 0.26s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_32ERROR: Could not build tree for root c_0_40ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_34,plain,
    ( ~ group_element(X2)
    | ~ group_element(X1)
    | product(X1,X2,e_4)
    | product(X1,X2,e_3)
    | product(X1,X2,e_2)
    | product(X1,X2,e_1) ),
    c_0_32,
    [final] ).

cnf(c_0_35,axiom,
    group_element(e_1),
    element_1,
    [final] ).

cnf(c_0_36,plain,
    ( ~ greater(X2,X3)
    | ~ next(X1,X3)
    | ~ product(X1,e_1,X2) ),
    c_0_33,
    [final] ).

cnf(c_0_37,axiom,
    greater(e_4,e_3),
    e_4_greater_e_3,
    [final] ).

cnf(c_0_40,plain,
    ( ~ group_element(X1)
    | product(X1,e_1,e_1)
    | product(X1,e_1,e_2)
    | product(X1,e_1,e_3)
    | product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]),
    [final] ).

cnf(c_0_41,axiom,
    group_element(e_2),
    element_2,
    [final] ).

cnf(c_0_42,plain,
    ( ~ next(X1,e_3)
    | ~ product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]),
    [final] ).

cnf(c_0_43,axiom,
    next(e_2,e_3),
    e_2_then_e_3,
    [final] ).

cnf(c_0_44,plain,
    ~ equalish(e_2,e_1),
    c_0_38,
    [final] ).

cnf(c_0_45,plain,
    ( ~ product(X4,X2,X3)
    | ~ product(X1,X2,X3)
    | equalish(X1,X4) ),
    c_0_39,
    [final] ).

cnf(c_0_49,plain,
    ~ product(e_2,e_1,e_4),
    inference(spm,[status(thm)],[c_0_42,c_0_43]),
    [final] ).

cnf(c_0_50,plain,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]),
    [final] ).

cnf(c_0_51,axiom,
    product(X1,X1,X1),
    product_idempotence,
    [final] ).

cnf(c_0_52,axiom,
    group_element(e_4),
    element_4,
    [final] ).

cnf(c_0_53,plain,
    ~ equalish(e_1,e_4),
    c_0_46,
    [final] ).

cnf(c_0_54,plain,
    ( ~ product(X1,X4,X3)
    | ~ product(X1,X2,X3)
    | equalish(X2,X4) ),
    c_0_47,
    [final] ).

cnf(c_0_56,plain,
    ~ product(e_2,e_1,e_1),
    inference(spm,[status(thm)],[c_0_50,c_0_51]),
    [final] ).

cnf(c_0_58,plain,
    ( ~ group_element(X1)
    | product(X1,e_4,e_1)
    | product(X1,e_4,e_2)
    | product(X1,e_4,e_3)
    | product(X1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_34,c_0_52]),
    [final] ).

cnf(c_0_59,plain,
    ( ~ product(X1,e_1,X2)
    | ~ product(X1,e_4,X2) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]),
    [final] ).

cnf(c_0_61,plain,
    ~ equalish(e_2,e_4),
    c_0_57,
    [final] ).

cnf(c_0_62,plain,
    ( ~ product(e_1,X1,X2)
    | ~ product(e_4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_53,c_0_45]),
    [final] ).

cnf(c_0_64,plain,
    ~ product(e_1,e_4,e_1),
    inference(spm,[status(thm)],[c_0_59,c_0_51]),
    [final] ).

cnf(c_0_66,plain,
    ( ~ product(X1,e_2,X2)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_44,c_0_54]),
    [final] ).

cnf(c_0_68,plain,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_61,c_0_45]),
    [final] ).

cnf(c_0_70,plain,
    ~ product(e_4,e_1,e_1),
    inference(spm,[status(thm)],[c_0_62,c_0_51]),
    [final] ).

cnf(c_0_73,plain,
    ~ equalish(e_3,e_4),
    c_0_65,
    [final] ).

cnf(c_0_75,plain,
    ~ product(e_2,e_4,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_51])]),
    [final] ).

cnf(c_0_76,plain,
    ~ product(e_2,e_4,e_4),
    inference(spm,[status(thm)],[c_0_68,c_0_51]),
    [final] ).

cnf(c_0_78,negated_conjecture,
    ( ~ product(X2,X1,X4)
    | ~ product(X1,X2,X3)
    | product(X3,X4,X1) ),
    c_0_71,
    [final] ).

cnf(c_0_80,plain,
    ( ~ product(X1,e_3,X2)
    | ~ product(X1,e_4,X2) ),
    inference(spm,[status(thm)],[c_0_73,c_0_54]),
    [final] ).

cnf(c_0_85,plain,
    ( ~ product(X1,e_2,X2)
    | ~ product(X1,e_4,X2) ),
    inference(spm,[status(thm)],[c_0_61,c_0_54]),
    [final] ).

cnf(c_0_87,axiom,
    group_element(e_3),
    element_3,
    [final] ).

cnf(c_0_88,plain,
    ~ equalish(e_1,e_3),
    c_0_82,
    [final] ).

cnf(c_0_93,plain,
    ~ product(e_2,e_3,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_51])]),
    [final] ).

cnf(c_0_94,plain,
    ( ~ group_element(X1)
    | product(X1,e_3,e_1)
    | product(X1,e_3,e_2)
    | product(X1,e_3,e_3)
    | product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_34,c_0_87]),
    [final] ).

cnf(c_0_95,plain,
    ( ~ product(X1,e_1,X2)
    | ~ product(X1,e_3,X2) ),
    inference(spm,[status(thm)],[c_0_88,c_0_54]),
    [final] ).

cnf(c_0_99,plain,
    ( ~ product(X1,X2,X4)
    | ~ product(X1,X2,X3)
    | equalish(X3,X4) ),
    c_0_90,
    [final] ).

cnf(c_0_102,plain,
    ~ product(e_1,e_3,e_1),
    inference(spm,[status(thm)],[c_0_95,c_0_51]),
    [final] ).

cnf(c_0_105,plain,
    ~ product(e_2,e_2,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_98]),c_0_51])]),
    [final] ).

cnf(c_0_106,plain,
    ( ~ product(X1,X2,e_3)
    | ~ product(X1,X2,e_4) ),
    inference(spm,[status(thm)],[c_0_73,c_0_99]),
    [final] ).

cnf(c_0_110,negated_conjecture,
    ~ product(e_2,e_1,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_51])]),
    [final] ).

cnf(c_0_111,plain,
    ( ~ group_element(X1)
    | product(X1,e_2,e_1)
    | product(X1,e_2,e_2)
    | product(X1,e_2,e_3)
    | product(X1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_34,c_0_41]),
    [final] ).

cnf(c_0_114,negated_conjecture,
    product(e_2,e_3,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_109]),c_0_51])]),
    [final] ).

cnf(c_0_115,plain,
    product(e_2,e_1,e_3),
    inference(sr,[status(thm)],[c_0_60,c_0_110]),
    [final] ).

cnf(c_0_117,plain,
    ~ product(e_1,e_2,e_1),
    inference(spm,[status(thm)],[c_0_66,c_0_51]),
    [final] ).

cnf(c_0_118,plain,
    ~ equalish(e_2,e_3),
    c_0_112,
    [final] ).

cnf(c_0_119,plain,
    ( ~ product(e_1,X1,X2)
    | ~ product(e_3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_88,c_0_45]),
    [final] ).

cnf(c_0_122,plain,
    ~ product(e_4,e_2,e_4),
    inference(spm,[status(thm)],[c_0_85,c_0_51]),
    [final] ).

cnf(c_0_123,negated_conjecture,
    ( ~ product(e_1,e_4,X1)
    | product(X1,e_2,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_115])]),
    [final] ).

cnf(c_0_125,plain,
    ( ~ product(X1,e_2,X2)
    | ~ product(X1,e_3,X2) ),
    inference(spm,[status(thm)],[c_0_118,c_0_54]),
    [final] ).

cnf(c_0_126,plain,
    product(e_1,e_3,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_51])]),
    [final] ).

cnf(c_0_127,plain,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_73,c_0_45]),
    [final] ).

cnf(c_0_130,plain,
    product(e_4,e_1,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_115])]),
    [final] ).

cnf(c_0_133,plain,
    ~ product(e_1,e_2,e_2),
    inference(spm,[status(thm)],[c_0_125,c_0_126]),
    [final] ).

cnf(c_0_134,plain,
    ( ~ product(e_2,X1,X2)
    | ~ product(e_3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_118,c_0_45]),
    [final] ).

cnf(c_0_136,negated_conjecture,
    product(e_3,e_2,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_129]),c_0_126])]),
    [final] ).

cnf(c_0_137,plain,
    ~ product(e_4,e_2,e_2),
    inference(spm,[status(thm)],[c_0_66,c_0_130]),
    [final] ).

cnf(c_0_140,negated_conjecture,
    ( ~ product(e_1,e_2,X1)
    | product(X1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_115]),
    [final] ).

cnf(c_0_143,plain,
    ~ product(e_4,e_3,e_4),
    inference(spm,[status(thm)],[c_0_80,c_0_51]),
    [final] ).

cnf(c_0_145,plain,
    ~ product(e_2,e_3,e_3),
    inference(spm,[status(thm)],[c_0_134,c_0_51]),
    [final] ).

cnf(c_0_147,plain,
    product(e_4,e_2,e_3),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136])]),c_0_137]),
    [final] ).

cnf(c_0_148,negated_conjecture,
    product(e_3,e_4,e_2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_110]),
    [final] ).

cnf(c_0_151,plain,
    ~ product(e_4,e_3,e_2),
    inference(spm,[status(thm)],[c_0_62,c_0_126]),
    [final] ).

cnf(c_0_154,negated_conjecture,
    ~ product(e_2,e_4,e_2),
    inference(spm,[status(thm)],[c_0_134,c_0_148]),
    [final] ).

cnf(c_0_155,negated_conjecture,
    ( ~ product(e_4,e_3,X1)
    | product(X1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_78,c_0_148]),
    [final] ).

cnf(c_0_156,negated_conjecture,
    product(e_4,e_3,e_1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_149]),c_0_110]),
    [final] ).

cnf(c_0_157,negated_conjecture,
    ( ~ product(e_3,e_2,X1)
    | product(X1,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_78,c_0_114]),
    [final] ).

cnf(c_0_160,negated_conjecture,
    product(e_3,e_1,e_4),
    inference(sr,[status(thm)],[c_0_153,c_0_154]),
    [final] ).

cnf(c_0_161,plain,
    product(e_2,e_4,e_1),
    inference(sr,[status(thm)],[c_0_81,c_0_154]),
    [final] ).

cnf(c_0_162,negated_conjecture,
    product(e_1,e_2,e_4),
    inference(spm,[status(thm)],[c_0_155,c_0_156]),
    [final] ).

cnf(c_0_163,negated_conjecture,
    product(e_1,e_4,e_3),
    inference(spm,[status(thm)],[c_0_157,c_0_136]),
    [final] ).

cnf(c_0_164,axiom,
    greater(e_2,e_1),
    e_2_greater_e_1,
    [final] ).

cnf(c_0_165,axiom,
    greater(e_3,e_1),
    e_3_greater_e_1,
    [final] ).

cnf(c_0_166,axiom,
    greater(e_3,e_2),
    e_3_greater_e_2,
    [final] ).

cnf(c_0_167,axiom,
    greater(e_4,e_1),
    e_4_greater_e_1,
    [final] ).

cnf(c_0_168,axiom,
    greater(e_4,e_2),
    e_4_greater_e_2,
    [final] ).

cnf(c_0_169,plain,
    ( ~ product(X1,X2,e_1)
    | ~ product(X1,X2,e_3) ),
    inference(spm,[status(thm)],[c_0_88,c_0_99]),
    [final] ).

cnf(c_0_170,plain,
    ( ~ product(X1,X2,e_2)
    | ~ product(X1,X2,e_3) ),
    inference(spm,[status(thm)],[c_0_118,c_0_99]),
    [final] ).

cnf(c_0_171,plain,
    ( ~ product(X1,X2,e_1)
    | ~ product(X1,X2,e_4) ),
    inference(spm,[status(thm)],[c_0_53,c_0_99]),
    [final] ).

cnf(c_0_176,plain,
    ( ~ product(X1,X2,e_2)
    | ~ product(X1,X2,e_4) ),
    inference(spm,[status(thm)],[c_0_61,c_0_99]),
    [final] ).

cnf(c_0_179,plain,
    ( ~ product(X1,X2,e_2)
    | ~ product(X1,X2,e_1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_99]),
    [final] ).

cnf(c_0_186,negated_conjecture,
    ( ~ product(e_1,e_3,X1)
    | product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_160]),
    [final] ).

cnf(c_0_187,negated_conjecture,
    ( ~ product(e_4,e_2,X1)
    | product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_78,c_0_161]),
    [final] ).

cnf(c_0_188,negated_conjecture,
    ( ~ product(e_2,e_4,X1)
    | product(X1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_78,c_0_147]),
    [final] ).

cnf(c_0_189,negated_conjecture,
    ( ~ product(e_2,e_1,X1)
    | product(X1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_78,c_0_162]),
    [final] ).

cnf(c_0_190,negated_conjecture,
    ( ~ product(e_3,e_4,X1)
    | product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_78,c_0_156]),
    [final] ).

cnf(c_0_191,negated_conjecture,
    ( ~ product(e_4,e_1,X1)
    | product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_78,c_0_163]),
    [final] ).

cnf(c_0_192,negated_conjecture,
    ( ~ product(e_2,e_3,X1)
    | product(X1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_78,c_0_136]),
    [final] ).

cnf(c_0_193,negated_conjecture,
    ( ~ product(e_3,e_1,X1)
    | product(X1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_78,c_0_126]),
    [final] ).

cnf(c_0_194,plain,
    ( ~ next(X1,e_1)
    | ~ product(X1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_164]),
    [final] ).

cnf(c_0_195,plain,
    ( ~ next(X1,e_1)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_36,c_0_165]),
    [final] ).

cnf(c_0_196,plain,
    ( ~ next(X1,e_2)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_36,c_0_166]),
    [final] ).

cnf(c_0_197,plain,
    ( ~ next(X1,e_1)
    | ~ product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_36,c_0_167]),
    [final] ).

cnf(c_0_198,plain,
    ( ~ next(X1,e_2)
    | ~ product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_36,c_0_168]),
    [final] ).

cnf(c_0_199,negated_conjecture,
    ( ~ product(X2,X2,X1)
    | product(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_78,c_0_51]),
    [final] ).

cnf(c_0_200,negated_conjecture,
    ~ product(e_3,e_3,e_4),
    inference(spm,[status(thm)],[c_0_95,c_0_160]),
    [final] ).

cnf(c_0_201,negated_conjecture,
    ~ product(e_3,e_1,e_3),
    inference(spm,[status(thm)],[c_0_106,c_0_160]),
    [final] ).

cnf(c_0_202,negated_conjecture,
    ~ product(e_4,e_3,e_3),
    inference(spm,[status(thm)],[c_0_169,c_0_156]),
    [final] ).

cnf(c_0_203,negated_conjecture,
    ~ product(e_1,e_4,e_2),
    inference(spm,[status(thm)],[c_0_170,c_0_163]),
    [final] ).

cnf(c_0_204,negated_conjecture,
    ~ product(e_3,e_2,e_4),
    inference(spm,[status(thm)],[c_0_171,c_0_136]),
    [final] ).

cnf(c_0_205,plain,
    ~ product(e_3,e_3,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_172]),c_0_51])]),
    [final] ).

cnf(c_0_206,plain,
    ~ product(e_4,e_2,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_173]),c_0_51])]),
    [final] ).

cnf(c_0_207,negated_conjecture,
    ~ product(e_3,e_2,e_2),
    inference(spm,[status(thm)],[c_0_85,c_0_148]),
    [final] ).

cnf(c_0_208,negated_conjecture,
    ~ product(e_1,e_2,e_3),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_131]),c_0_105]),
    [final] ).

cnf(c_0_209,negated_conjecture,
    ~ product(e_3,e_4,e_3),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_174]),c_0_105]),
    [final] ).

cnf(c_0_210,negated_conjecture,
    ~ product(e_1,e_3,e_3),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_175]),c_0_105]),
    [final] ).

cnf(c_0_211,plain,
    ~ product(e_3,e_1,e_2),
    inference(spm,[status(thm)],[c_0_127,c_0_130]),
    [final] ).

cnf(c_0_212,negated_conjecture,
    ~ product(e_2,e_3,e_2),
    inference(spm,[status(thm)],[c_0_176,c_0_114]),
    [final] ).

cnf(c_0_213,plain,
    ~ product(e_2,e_2,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_177]),c_0_51])]),
    [final] ).

cnf(c_0_214,plain,
    ~ product(e_3,e_4,e_4),
    inference(spm,[status(thm)],[c_0_127,c_0_51]),
    [final] ).

cnf(c_0_215,plain,
    ~ product(e_4,e_4,e_3),
    inference(spm,[status(thm)],[c_0_106,c_0_51]),
    [final] ).

cnf(c_0_216,plain,
    ~ product(e_4,e_4,e_2),
    inference(spm,[status(thm)],[c_0_176,c_0_51]),
    [final] ).

cnf(c_0_217,plain,
    ~ product(e_2,e_2,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_178]),c_0_51])]),
    [final] ).

cnf(c_0_218,plain,
    ~ product(e_3,e_2,e_3),
    inference(spm,[status(thm)],[c_0_125,c_0_51]),
    [final] ).

cnf(c_0_219,plain,
    ~ product(e_3,e_3,e_2),
    inference(spm,[status(thm)],[c_0_170,c_0_51]),
    [final] ).

cnf(c_0_220,plain,
    ~ product(e_3,e_1,e_1),
    inference(spm,[status(thm)],[c_0_119,c_0_51]),
    [final] ).

cnf(c_0_221,plain,
    ~ product(e_1,e_1,e_3),
    inference(spm,[status(thm)],[c_0_169,c_0_51]),
    [final] ).

cnf(c_0_222,plain,
    ~ product(e_1,e_1,e_4),
    inference(spm,[status(thm)],[c_0_171,c_0_51]),
    [final] ).

cnf(c_0_223,plain,
    ~ product(e_1,e_1,e_2),
    inference(spm,[status(thm)],[c_0_179,c_0_51]),
    [final] ).

cnf(c_0_224,plain,
    ~ equalish(e_4,e_3),
    c_0_180,
    [final] ).

cnf(c_0_225,plain,
    ~ equalish(e_4,e_2),
    c_0_181,
    [final] ).

cnf(c_0_226,plain,
    ~ equalish(e_4,e_1),
    c_0_182,
    [final] ).

cnf(c_0_227,plain,
    ~ equalish(e_3,e_2),
    c_0_183,
    [final] ).

cnf(c_0_228,plain,
    ~ equalish(e_3,e_1),
    c_0_184,
    [final] ).

cnf(c_0_229,plain,
    ~ equalish(e_1,e_2),
    c_0_185,
    [final] ).

cnf(c_0_230,axiom,
    next(e_3,e_4),
    e_3_then_e_4,
    [final] ).

cnf(c_0_231,axiom,
    next(e_1,e_2),
    e_1_then_e_2,
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : GRP125-2.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43  % Computer : n009.cluster.edu
% 0.18/0.43  % Model    : x86_64 x86_64
% 0.18/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43  % Memory   : 8046.5625MB
% 0.18/0.43  % OS       : Linux 6.8.0-71-generic
% 0.18/0.43  % CPULimit : 300
% 0.18/0.43  % WCLimit  : 300
% 0.18/0.43  % DateTime : Sun Sep 20 19:58:57 UTC 2026
% 0.18/0.43  % CPUTime  : 
% 0.18/0.44  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.50  Running first-order theorem proving
% 0.18/0.50  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.54  % Version: 3.5.1
% 0.26/0.54  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.54  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.54  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.54  % Starting new_bool_3 with 300s (1) cores
% 0.26/0.54  % Starting new_bool_1 with 300s (1) cores
% 0.26/0.54  % Starting sh5l with 300s (1) cores
% 0.26/0.54  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4108597 completed with status 1
% 0.26/0.54  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.26/0.54  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.54  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.54  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.54  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.54  % No SInE strategy applied
% 0.26/0.54  % Search class: FGHNF-FFSM00-SFFFFFNN
% 0.26/0.54  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.54  % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.54  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.26/0.54  % Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 0.26/0.55  % Starting new_bool_3 with 136s (1) cores
% 0.26/0.55  % Starting new_bool_1 with 136s (1) cores
% 0.26/0.55  % G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 4108605 completed with status 1
% 0.26/0.55  % Result found by G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 0.26/0.55  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.55  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.55  % No SInE strategy applied
% 0.26/0.55  % Search class: FGHNF-FFSM00-SFFFFFNN
% 0.26/0.55  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.55  % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.26/0.55  % Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 0.26/0.55  % Preprocessing time       : 0.001 s
% 0.26/0.55  % Presaturation interreduction done
% 0.26/0.55  
% 0.26/0.55  % No proof found!
% 0.26/0.55  % SZS status Satisfiable
% 0.26/0.55  % SZS output start Saturation
% See solution above
% 0.26/0.55  % Parsed axioms                        : 32
% 0.26/0.55  % Removed by relevancy pruning/SinE    : 0
% 0.26/0.55  % Initial clauses                      : 32
% 0.26/0.55  % Removed in clause preprocessing      : 0
% 0.26/0.55  % Initial clauses in saturation        : 32
% 0.26/0.55  % Processed clauses                    : 413
% 0.26/0.55  % ...of these trivial                  : 2
% 0.26/0.55  % ...subsumed                          : 97
% 0.26/0.55  % ...remaining for further processing  : 314
% 0.26/0.55  % Other redundant clauses eliminated   : 0
% 0.26/0.55  % Clauses deleted for lack of memory   : 0
% 0.26/0.55  % Backward-subsumed                    : 109
% 0.26/0.55  % Backward-rewritten                   : 21
% 0.26/0.55  % Generated clauses                    : 706
% 0.26/0.55  % ...of the previous two non-redundant : 619
% 0.26/0.55  % ...aggressively subsumed             : 0
% 0.26/0.55  % Contextual simplify-reflections      : 0
% 0.26/0.55  % Paramodulations                      : 681
% 0.26/0.55  % Factorizations                       : 0
% 0.26/0.55  % NegExts                              : 0
% 0.26/0.55  % Equation resolutions                 : 0
% 0.26/0.55  % Disequality decompositions           : 0
% 0.26/0.55  % Total rewrite steps                  : 71
% 0.26/0.55  % ...of those cached                   : 54
% 0.26/0.55  % Propositional unsat checks           : 0
% 0.26/0.55  %    Propositional check models        : 0
% 0.26/0.55  %    Propositional check unsatisfiable : 0
% 0.26/0.55  %    Propositional clauses             : 0
% 0.26/0.55  %    Propositional clauses after purity: 0
% 0.26/0.55  %    Propositional unsat core size     : 0
% 0.26/0.55  %    Propositional preprocessing time  : 0.000
% 0.26/0.55  %    Propositional encoding time       : 0.000
% 0.26/0.55  %    Propositional solver time         : 0.000
% 0.26/0.55  %    Success case prop preproc time    : 0.000
% 0.26/0.55  %    Success case prop encoding time   : 0.000
% 0.26/0.55  %    Success case prop solver time     : 0.000
% 0.26/0.55  % Current number of processed clauses  : 127
% 0.26/0.55  %    Positive orientable unit clauses  : 26
% 0.26/0.55  %    Positive unorientable unit clauses: 0
% 0.26/0.55  %    Negative unit clauses             : 54
% 0.26/0.55  %    Non-unit-clauses                  : 47
% 0.26/0.55  % Current number of unprocessed clauses: 0
% 0.26/0.55  % ...number of literals in the above   : 0
% 0.26/0.55  % Current number of archived formulas  : 0
% 0.26/0.55  % Current number of archived clauses   : 187
% 0.26/0.55  % Clause-clause subsumption calls (NU) : 4170
% 0.26/0.55  % Rec. Clause-clause subsumption calls : 3414
% 0.26/0.55  % Non-unit clause-clause subsumptions  : 80
% 0.26/0.55  % Unit Clause-clause subsumption calls : 366
% 0.26/0.55  % Rewrite failures with RHS unbound    : 0
% 0.26/0.55  % BW rewrite match attempts            : 54
% 0.26/0.55  % BW rewrite match successes           : 11
% 0.26/0.55  % Condensation attempts                : 0
% 0.26/0.55  % Condensation successes               : 0
% 0.26/0.55  % Termbank termtop insertions          : 7756
% 0.26/0.55  % Search garbage collected termcells   : 56
% 0.26/0.55  
% 0.26/0.55  % -------------------------------------------------
% 0.26/0.55  % User time                : 0.021 s
% 0.26/0.55  % System time              : 0.006 s
% 0.26/0.55  % Total time               : 0.027 s
% 0.26/0.55  % Maximum resident set size: 3644 pages
% 0.26/0.55  
% 0.26/0.55  % -------------------------------------------------
% 0.26/0.55  % User time                : 0.112 s
% 0.26/0.55  % System time              : 0.019 s
% 0.26/0.55  % Total time               : 0.131 s
% 0.26/0.55  % Maximum resident set size: 4864 pages
% 0.26/0.55  % E exiting
%------------------------------------------------------------------------------