TSTP Solution File: GRP128-3.004 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GRP128-3.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:38:37 EDT 2023

% Result   : Satisfiable 1.52s 0.61s
% Output   : Saturation 1.52s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named product_total_function1)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_42,axiom,
    ~ equalish(e_1,e_2),
    e_1_is_not_e_2,
    [final] ).

cnf(c_0_43,axiom,
    ( equalish(X2,X5)
    | ~ cycle(X1,X2)
    | ~ cycle(X3,X4)
    | ~ next(X1,X3)
    | ~ greater(X2,e_0)
    | ~ next(X4,X5) ),
    cycle4,
    [final] ).

cnf(c_0_44,axiom,
    greater(e_1,e_0),
    e_1_greater_e_0,
    [final] ).

cnf(c_0_45,axiom,
    ( cycle(X1,e_0)
    | cycle(X1,e_1)
    | cycle(X1,e_2)
    | cycle(X1,e_3)
    | ~ group_element(X1) ),
    cycle2,
    [final] ).

cnf(c_0_46,axiom,
    group_element(e_2),
    element_2,
    [final] ).

cnf(c_0_47,axiom,
    ~ equalish(e_3,e_2),
    e_3_is_not_e_2,
    [final] ).

cnf(c_0_48,axiom,
    greater(e_3,e_0),
    e_3_greater_e_0,
    [final] ).

cnf(c_0_49,plain,
    ( ~ cycle(X1,e_1)
    | ~ cycle(X2,X3)
    | ~ next(X3,e_2)
    | ~ next(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]),
    [final] ).

cnf(c_0_51,plain,
    ( ~ cycle(X1,e_3)
    | ~ cycle(X2,X3)
    | ~ next(X3,e_2)
    | ~ next(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_43]),c_0_48])]),
    [final] ).

cnf(c_0_53,axiom,
    next(e_1,e_2),
    e_1_then_e_2,
    [final] ).

cnf(c_0_54,axiom,
    group_element(e_3),
    element_3,
    [final] ).

cnf(c_0_56,plain,
    ( cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_3,e_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_54]),
    [final] ).

cnf(c_0_57,axiom,
    next(e_2,e_3),
    e_2_then_e_3,
    [final] ).

cnf(c_0_58,axiom,
    ( ~ cycle(X1,X2)
    | ~ cycle(X3,e_0)
    | ~ cycle(X4,X5)
    | ~ next(X3,X4)
    | ~ greater(X3,X1)
    | ~ greater(X2,X5) ),
    cycle5,
    [final] ).

cnf(c_0_61,axiom,
    greater(e_3,e_2),
    e_3_greater_e_2,
    [final] ).

cnf(c_0_62,axiom,
    ( 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) ),
    product_total_function1,
    [final] ).

cnf(c_0_63,axiom,
    group_element(e_4),
    element_4,
    [final] ).

cnf(c_0_64,axiom,
    ~ equalish(e_1,e_4),
    e_1_is_not_e_4,
    [final] ).

cnf(c_0_65,axiom,
    ~ equalish(e_2,e_4),
    e_2_is_not_e_4,
    [final] ).

cnf(c_0_66,axiom,
    greater(e_2,e_0),
    e_2_greater_e_0,
    [final] ).

cnf(c_0_67,axiom,
    ~ equalish(e_3,e_4),
    e_3_is_not_e_4,
    [final] ).

cnf(c_0_69,axiom,
    ( equalish(X1,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X3) ),
    product_left_cancellation,
    [final] ).

cnf(c_0_70,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_62,c_0_63]),
    [final] ).

cnf(c_0_71,axiom,
    ( equalish(X3,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X2,X4) ),
    product_total_function2,
    [final] ).

cnf(c_0_72,axiom,
    ~ equalish(e_1,e_3),
    e_1_is_not_e_3,
    [final] ).

cnf(c_0_73,axiom,
    ~ equalish(e_2,e_3),
    e_2_is_not_e_3,
    [final] ).

cnf(c_0_74,plain,
    ( ~ cycle(X1,e_1)
    | ~ cycle(X2,X3)
    | ~ next(X3,e_4)
    | ~ next(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_43]),c_0_44])]),
    [final] ).

cnf(c_0_75,plain,
    ( ~ cycle(X1,e_2)
    | ~ cycle(X2,X3)
    | ~ next(X3,e_4)
    | ~ next(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_43]),c_0_66])]),
    [final] ).

cnf(c_0_76,plain,
    ( ~ cycle(X1,e_3)
    | ~ cycle(X2,X3)
    | ~ next(X3,e_4)
    | ~ next(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_43]),c_0_48])]),
    [final] ).

cnf(c_0_78,plain,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_69]),
    [final] ).

cnf(c_0_80,negated_conjecture,
    ( product(X1,X3,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X3,X2,X4) ),
    qg3,
    [final] ).

cnf(c_0_81,plain,
    ( ~ product(X1,X2,e_4)
    | ~ product(X1,X2,e_1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_71]),
    [final] ).

cnf(c_0_82,plain,
    ( ~ cycle(X1,e_1)
    | ~ cycle(X2,X3)
    | ~ next(X3,e_3)
    | ~ next(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_43]),c_0_44])]),
    [final] ).

cnf(c_0_83,plain,
    ( ~ cycle(X1,e_2)
    | ~ cycle(X2,X3)
    | ~ next(X3,e_3)
    | ~ next(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_43]),c_0_66])]),
    [final] ).

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

cnf(c_0_87,axiom,
    cycle(e_4,e_0),
    cycle3,
    [final] ).

cnf(c_0_88,axiom,
    group_element(e_1),
    element_1,
    [final] ).

cnf(c_0_93,plain,
    ( cycle(e_2,e_0)
    | ~ cycle(X1,e_3)
    | ~ next(e_2,X1) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]),
    [final] ).

cnf(c_0_95,axiom,
    ( equalish(X2,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X4,X3) ),
    product_right_cancellation,
    [final] ).

cnf(c_0_96,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_62,c_0_88]),
    [final] ).

cnf(c_0_98,plain,
    ( ~ product(X1,X2,e_4)
    | ~ product(X1,X2,e_2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_71]),
    [final] ).

cnf(c_0_99,plain,
    ( ~ product(X1,X2,e_4)
    | ~ product(X1,X2,e_3) ),
    inference(spm,[status(thm)],[c_0_67,c_0_71]),
    [final] ).

cnf(c_0_100,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_0)
    | ~ cycle(X1,e_2)
    | ~ next(e_2,X1) ),
    inference(spm,[status(thm)],[c_0_92,c_0_57]),
    [final] ).

cnf(c_0_102,plain,
    ( ~ product(X1,e_4,X2)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_64,c_0_95]),
    [final] ).

cnf(c_0_104,plain,
    ~ product(e_2,e_4,e_4),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_97]),c_0_80]),c_0_80]),c_0_98]),c_0_99]),
    [final] ).

cnf(c_0_105,axiom,
    ( ~ cycle(X1,e_0)
    | ~ product(X1,e_1,X2)
    | ~ greater(X2,X1) ),
    cycle6,
    [final] ).

cnf(c_0_109,axiom,
    ~ equalish(e_4,e_3),
    e_4_is_not_e_3,
    [final] ).

cnf(c_0_110,axiom,
    ( equalish(X3,X4)
    | ~ cycle(X1,X2)
    | ~ product(X1,e_1,X3)
    | ~ greater(X2,e_0)
    | ~ next(X1,X4) ),
    cycle7,
    [final] ).

cnf(c_0_113,axiom,
    greater(e_4,e_2),
    e_4_greater_e_2,
    [final] ).

cnf(c_0_114,plain,
    ( ~ product(X1,e_1,e_4)
    | ~ cycle(X1,X2)
    | ~ greater(X2,e_0)
    | ~ next(X1,e_3) ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]),
    [final] ).

cnf(c_0_117,axiom,
    ~ equalish(e_3,e_1),
    e_3_is_not_e_1,
    [final] ).

cnf(c_0_119,axiom,
    ~ equalish(e_2,e_1),
    e_2_is_not_e_1,
    [final] ).

cnf(c_0_120,plain,
    ( ~ cycle(X1,e_3)
    | ~ cycle(X2,X3)
    | ~ next(X3,e_1)
    | ~ next(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_43]),c_0_48])]),
    [final] ).

cnf(c_0_122,plain,
    ( ~ cycle(X1,e_2)
    | ~ cycle(X2,X3)
    | ~ next(X3,e_1)
    | ~ next(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_43]),c_0_66])]),
    [final] ).

cnf(c_0_123,plain,
    ( ~ product(X1,e_1,e_1)
    | ~ cycle(X1,X2)
    | ~ greater(X2,e_0)
    | ~ next(X1,e_4) ),
    inference(spm,[status(thm)],[c_0_64,c_0_110]),
    [final] ).

cnf(c_0_124,plain,
    ( ~ product(X1,e_1,e_3)
    | ~ cycle(X1,X2)
    | ~ greater(X2,e_0)
    | ~ next(X1,e_4) ),
    inference(spm,[status(thm)],[c_0_67,c_0_110]),
    [final] ).

cnf(c_0_125,plain,
    ( ~ product(X1,e_1,e_2)
    | ~ cycle(X1,X2)
    | ~ greater(X2,e_0)
    | ~ next(X1,e_4) ),
    inference(spm,[status(thm)],[c_0_65,c_0_110]),
    [final] ).

cnf(c_0_127,axiom,
    next(e_0,e_1),
    e_0_then_e_1,
    [final] ).

cnf(c_0_132,plain,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_67,c_0_69]),
    [final] ).

cnf(c_0_134,plain,
    ( product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | ~ cycle(X1,e_0)
    | ~ next(e_2,X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]),
    [final] ).

cnf(c_0_136,plain,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_73,c_0_69]),
    [final] ).

cnf(c_0_139,plain,
    ( product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | ~ cycle(X1,e_3)
    | ~ next(e_2,X1) ),
    inference(spm,[status(thm)],[c_0_133,c_0_85]),
    [final] ).

cnf(c_0_145,plain,
    ~ product(e_3,e_4,e_4),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_142]),c_0_80]),c_0_80]),c_0_98]),c_0_99]),
    [final] ).

cnf(c_0_148,plain,
    ( ~ product(X1,e_4,X2)
    | ~ product(X1,e_3,X2) ),
    inference(spm,[status(thm)],[c_0_67,c_0_95]),
    [final] ).

cnf(c_0_154,plain,
    ( ~ product(X1,e_1,X2)
    | ~ product(X1,e_2,X2) ),
    inference(spm,[status(thm)],[c_0_119,c_0_95]),
    [final] ).

cnf(c_0_157,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_62,c_0_54]),
    [final] ).

cnf(c_0_158,plain,
    ( ~ product(e_4,X1,X2)
    | ~ product(e_1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_64,c_0_69]),
    [final] ).

cnf(c_0_164,plain,
    ( ~ product(X1,e_3,X2)
    | ~ product(X1,e_2,X2) ),
    inference(spm,[status(thm)],[c_0_73,c_0_95]),
    [final] ).

cnf(c_0_168,plain,
    ( ~ product(X1,e_3,X2)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_95]),
    [final] ).

cnf(c_0_172,plain,
    ( ~ product(e_1,X1,X2)
    | ~ product(e_2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_119,c_0_69]),
    [final] ).

cnf(c_0_181,plain,
    ( ~ product(e_3,X1,X2)
    | ~ product(e_1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_69]),
    [final] ).

cnf(c_0_187,plain,
    ( ~ product(X1,e_4,X2)
    | ~ product(X1,e_2,X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_95]),
    [final] ).

cnf(c_0_205,negated_conjecture,
    product(e_2,e_3,e_4),
    inference(spm,[status(thm)],[c_0_202,c_0_200]),
    [final] ).

cnf(c_0_207,plain,
    ( ~ product(X1,X2,e_3)
    | ~ product(X1,X2,e_1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_71]),
    [final] ).

cnf(c_0_215,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_62,c_0_46]),
    [final] ).

cnf(c_0_223,negated_conjecture,
    ( product(X1,e_2,e_4)
    | ~ product(X1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_205]),
    [final] ).

cnf(c_0_225,plain,
    ( ~ product(X1,X2,e_1)
    | ~ product(X1,X2,e_2) ),
    inference(spm,[status(thm)],[c_0_119,c_0_71]),
    [final] ).

cnf(c_0_227,plain,
    ( ~ product(X1,X2,e_3)
    | ~ product(X1,X2,e_2) ),
    inference(spm,[status(thm)],[c_0_73,c_0_71]),
    [final] ).

cnf(c_0_234,negated_conjecture,
    ~ product(e_2,e_4,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]),
    [final] ).

cnf(c_0_238,negated_conjecture,
    ~ product(e_2,e_2,e_4),
    inference(spm,[status(thm)],[c_0_164,c_0_205]),
    [final] ).

cnf(c_0_248,negated_conjecture,
    ~ product(e_1,e_2,e_3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_239]),c_0_99]),
    [final] ).

cnf(c_0_266,negated_conjecture,
    ~ product(e_3,e_4,e_3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_136]),
    [final] ).

cnf(c_0_269,negated_conjecture,
    product(e_2,e_2,e_2),
    inference(spm,[status(thm)],[c_0_264,c_0_265]),
    [final] ).

cnf(c_0_273,negated_conjecture,
    ~ product(e_3,e_3,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_269])]),
    [final] ).

cnf(c_0_277,plain,
    ~ product(e_3,e_3,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_274]),c_0_275]),
    [final] ).

cnf(c_0_278,negated_conjecture,
    product(e_1,e_2,e_4),
    inference(sr,[status(thm)],[c_0_276,c_0_277]),
    [final] ).

cnf(c_0_279,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_278])]),
    [final] ).

cnf(c_0_282,negated_conjecture,
    product(e_1,e_3,e_2),
    inference(sr,[status(thm)],[c_0_280,c_0_277]),
    [final] ).

cnf(c_0_284,negated_conjecture,
    ~ product(e_2,e_4,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_281]),c_0_282])]),
    [final] ).

cnf(c_0_286,negated_conjecture,
    product(e_2,e_4,e_1),
    inference(sr,[status(thm)],[c_0_226,c_0_284]),
    [final] ).

cnf(c_0_287,negated_conjecture,
    ~ product(e_1,e_2,e_2),
    inference(spm,[status(thm)],[c_0_164,c_0_282]),
    [final] ).

cnf(c_0_289,negated_conjecture,
    product(e_2,e_1,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_288]),c_0_282])]),
    [final] ).

cnf(c_0_293,negated_conjecture,
    ( ~ cycle(X1,X2)
    | ~ next(X2,e_1)
    | ~ next(e_2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_290]),c_0_122]),
    [final] ).

cnf(c_0_295,negated_conjecture,
    ( ~ cycle(X1,X2)
    | ~ next(X2,e_4)
    | ~ next(e_2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_290]),c_0_75]),
    [final] ).

cnf(c_0_308,negated_conjecture,
    cycle(e_2,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_87]),c_0_85])]),
    [final] ).

cnf(c_0_311,axiom,
    ~ equalish(e_4,e_2),
    e_4_is_not_e_2,
    [final] ).

cnf(c_0_312,negated_conjecture,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_53])]),
    [final] ).

cnf(c_0_314,negated_conjecture,
    ~ product(e_4,e_4,e_3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_262]),c_0_78]),
    [final] ).

cnf(c_0_315,plain,
    ( ~ product(X1,e_1,e_4)
    | ~ cycle(X1,X2)
    | ~ greater(X2,e_0)
    | ~ next(X1,e_2) ),
    inference(spm,[status(thm)],[c_0_311,c_0_110]),
    [final] ).

cnf(c_0_316,negated_conjecture,
    ( cycle(e_1,e_3)
    | ~ product(e_1,e_1,X1)
    | ~ greater(X1,e_1) ),
    inference(spm,[status(thm)],[c_0_105,c_0_312]),
    [final] ).

cnf(c_0_317,plain,
    ( ~ product(X1,e_1,e_3)
    | ~ cycle(X1,X2)
    | ~ greater(X2,e_0)
    | ~ next(X1,e_2) ),
    inference(spm,[status(thm)],[c_0_47,c_0_110]),
    [final] ).

cnf(c_0_318,negated_conjecture,
    product(e_4,e_4,e_4),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_289])]),c_0_314]),
    [final] ).

cnf(c_0_320,axiom,
    greater(e_4,e_1),
    e_4_greater_e_1,
    [final] ).

cnf(c_0_322,axiom,
    greater(e_3,e_1),
    e_3_greater_e_1,
    [final] ).

cnf(c_0_323,plain,
    ( ~ cycle(X1,X2)
    | ~ cycle(X3,X4)
    | ~ greater(e_4,X3)
    | ~ greater(X4,X2)
    | ~ next(e_4,X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_87]),
    [final] ).

cnf(c_0_324,negated_conjecture,
    ( product(X1,e_2,e_3)
    | ~ product(X1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_289]),
    [final] ).

cnf(c_0_325,negated_conjecture,
    ( product(X1,e_1,e_2)
    | ~ product(X1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_282]),
    [final] ).

cnf(c_0_326,negated_conjecture,
    ~ product(e_4,e_3,e_2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_280]),c_0_132]),
    [final] ).

cnf(c_0_327,negated_conjecture,
    ~ product(e_4,e_3,e_4),
    inference(spm,[status(thm)],[c_0_148,c_0_318]),
    [final] ).

cnf(c_0_329,negated_conjecture,
    ~ product(e_1,e_1,e_4),
    inference(spm,[status(thm)],[c_0_319,c_0_320]),
    [final] ).

cnf(c_0_330,negated_conjecture,
    ~ product(e_1,e_1,e_3),
    inference(spm,[status(thm)],[c_0_321,c_0_322]),
    [final] ).

cnf(c_0_331,plain,
    ( ~ cycle(e_2,X1)
    | ~ cycle(X2,X3)
    | ~ greater(X1,X3)
    | ~ next(e_4,X2) ),
    inference(spm,[status(thm)],[c_0_323,c_0_113]),
    [final] ).

cnf(c_0_332,plain,
    ( cycle(e_1,e_0)
    | ~ cycle(X1,X2)
    | ~ next(X2,e_4)
    | ~ next(e_1,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_299]),c_0_75]),c_0_76]),
    [final] ).

cnf(c_0_333,negated_conjecture,
    ( product(X1,e_2,e_3)
    | ~ product(X1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_324,c_0_325]),
    [final] ).

cnf(c_0_334,plain,
    ( product(e_4,e_3,e_3)
    | product(e_4,e_3,e_1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_203,c_0_326]),c_0_327]),
    [final] ).

cnf(c_0_335,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_328,c_0_329]),c_0_330]),
    [final] ).

cnf(c_0_337,plain,
    ( cycle(e_1,e_0)
    | ~ cycle(X1,e_3)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_332,c_0_85]),
    [final] ).

cnf(c_0_339,negated_conjecture,
    product(e_3,e_3,e_3),
    inference(sr,[status(thm)],[c_0_241,c_0_284]),
    [final] ).

cnf(c_0_344,negated_conjecture,
    ~ product(e_2,e_1,e_2),
    inference(spm,[status(thm)],[c_0_227,c_0_289]),
    [final] ).

cnf(c_0_345,negated_conjecture,
    product(e_4,e_2,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_338]),c_0_339])]),
    [final] ).

cnf(c_0_346,negated_conjecture,
    product(e_3,e_2,e_1),
    inference(sr,[status(thm)],[c_0_340,c_0_284]),
    [final] ).

cnf(c_0_348,plain,
    ( cycle(e_3,e_0)
    | ~ cycle(X1,X2)
    | ~ next(X2,e_4)
    | ~ next(e_3,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_56]),c_0_75]),c_0_76]),
    [final] ).

cnf(c_0_350,plain,
    ~ product(e_4,e_1,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_341]),c_0_282])]),
    [final] ).

cnf(c_0_352,negated_conjecture,
    ( product(X1,e_4,e_3)
    | ~ product(X1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_80,c_0_345]),
    [final] ).

cnf(c_0_353,negated_conjecture,
    ( product(X1,X2,e_2)
    | ~ product(X2,e_3,e_1)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_325]),
    [final] ).

cnf(c_0_354,negated_conjecture,
    ( product(X1,e_3,e_1)
    | ~ product(X1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_80,c_0_346]),
    [final] ).

cnf(c_0_356,plain,
    ( ~ product(X1,e_1,e_1)
    | ~ cycle(X1,X2)
    | ~ greater(X2,e_0)
    | ~ next(X1,e_2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_110]),
    [final] ).

cnf(c_0_361,plain,
    ( ~ cycle(e_1,X1)
    | ~ cycle(X2,X3)
    | ~ greater(X1,X3)
    | ~ next(e_4,X2) ),
    inference(spm,[status(thm)],[c_0_323,c_0_320]),
    [final] ).

cnf(c_0_362,axiom,
    ( equalish(X2,X3)
    | ~ cycle(X1,X2)
    | ~ cycle(X1,X3) ),
    cycle1,
    [final] ).

cnf(c_0_363,plain,
    ( cycle(e_3,e_0)
    | ~ cycle(X1,e_3)
    | ~ next(e_3,X1) ),
    inference(spm,[status(thm)],[c_0_348,c_0_85]),
    [final] ).

cnf(c_0_366,negated_conjecture,
    ( product(X1,X2,e_3)
    | ~ product(X2,e_2,e_4)
    | ~ product(X1,e_4,X2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_352]),
    [final] ).

cnf(c_0_367,negated_conjecture,
    ( product(X1,X2,e_2)
    | ~ product(X2,e_2,e_3)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_353,c_0_354]),
    [final] ).

cnf(c_0_368,negated_conjecture,
    product(e_3,e_4,e_2),
    inference(sr,[status(thm)],[c_0_355,c_0_284]),
    [final] ).

cnf(c_0_369,axiom,
    ~ equalish(e_4,e_1),
    e_4_is_not_e_1,
    [final] ).

cnf(c_0_373,axiom,
    greater(e_4,e_3),
    e_4_greater_e_3,
    [final] ).

cnf(c_0_378,negated_conjecture,
    ( ~ product(e_1,e_1,X1)
    | ~ cycle(X2,X3)
    | ~ greater(e_3,X3)
    | ~ greater(X1,e_1)
    | ~ next(e_4,X2) ),
    inference(spm,[status(thm)],[c_0_361,c_0_316]),
    [final] ).

cnf(c_0_379,plain,
    ( ~ cycle(X1,e_4)
    | ~ cycle(X1,e_1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_362]),
    [final] ).

cnf(c_0_380,plain,
    ( ~ cycle(X1,e_4)
    | ~ cycle(X1,e_2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_362]),
    [final] ).

cnf(c_0_381,plain,
    ( ~ cycle(X1,e_4)
    | ~ cycle(X1,e_3) ),
    inference(spm,[status(thm)],[c_0_67,c_0_362]),
    [final] ).

cnf(c_0_382,plain,
    ( ~ product(X1,e_1,e_2)
    | ~ cycle(X1,X2)
    | ~ greater(X2,e_0)
    | ~ next(X1,e_3) ),
    inference(spm,[status(thm)],[c_0_73,c_0_110]),
    [final] ).

cnf(c_0_384,plain,
    ( ~ product(X1,e_1,e_2)
    | ~ cycle(X1,X2)
    | ~ greater(X2,e_0)
    | ~ next(X1,e_1) ),
    inference(spm,[status(thm)],[c_0_119,c_0_110]),
    [final] ).

cnf(c_0_386,negated_conjecture,
    ( cycle(e_1,e_3)
    | ~ next(e_4,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_312]),c_0_66])]),
    [final] ).

cnf(c_0_387,plain,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_3)
    | ~ cycle(X1,X2)
    | ~ next(X2,e_3)
    | ~ next(e_3,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_56]),c_0_83]),
    [final] ).

cnf(c_0_388,negated_conjecture,
    product(e_3,e_1,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_269])]),
    [final] ).

cnf(c_0_389,negated_conjecture,
    ( product(X1,e_1,e_3)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_366,c_0_278]),
    [final] ).

cnf(c_0_390,negated_conjecture,
    ( product(X1,X2,e_1)
    | ~ product(X2,e_2,e_3)
    | ~ product(X1,e_3,X2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_354]),
    [final] ).

cnf(c_0_391,negated_conjecture,
    ( product(X1,e_4,e_2)
    | ~ product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_367,c_0_345]),
    [final] ).

cnf(c_0_392,negated_conjecture,
    ( product(X1,e_1,e_4)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_278]),
    [final] ).

cnf(c_0_393,negated_conjecture,
    ( product(X1,e_3,e_2)
    | ~ product(X1,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_80,c_0_368]),
    [final] ).

cnf(c_0_395,plain,
    ( ~ product(X1,e_1,e_4)
    | ~ cycle(X1,X2)
    | ~ greater(X2,e_0)
    | ~ next(X1,e_1) ),
    inference(spm,[status(thm)],[c_0_369,c_0_110]),
    [final] ).

cnf(c_0_397,plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_2)
    | ~ cycle(X1,X2)
    | ~ next(X2,e_2)
    | ~ next(e_1,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_299]),c_0_51]),
    [final] ).

cnf(c_0_398,plain,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_2)
    | ~ cycle(X1,X2)
    | ~ next(X2,e_2)
    | ~ next(e_3,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_56]),c_0_51]),
    [final] ).

cnf(c_0_399,plain,
    ( ~ cycle(e_3,X1)
    | ~ cycle(X2,X3)
    | ~ greater(X1,X3)
    | ~ next(e_4,X2) ),
    inference(spm,[status(thm)],[c_0_323,c_0_373]),
    [final] ).

cnf(c_0_401,plain,
    ( ~ product(X1,e_1,e_1)
    | ~ cycle(X1,X2)
    | ~ greater(X2,e_0)
    | ~ next(X1,e_3) ),
    inference(spm,[status(thm)],[c_0_72,c_0_110]),
    [final] ).

cnf(c_0_402,plain,
    ( ~ product(X1,e_1,e_3)
    | ~ cycle(X1,X2)
    | ~ greater(X2,e_0)
    | ~ next(X1,e_1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_110]),
    [final] ).

cnf(c_0_409,negated_conjecture,
    ( ~ product(e_1,e_1,X1)
    | ~ greater(X1,e_1)
    | ~ next(e_4,e_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_308]),c_0_61])]),
    [final] ).

cnf(c_0_410,axiom,
    greater(e_2,e_1),
    e_2_greater_e_1,
    [final] ).

cnf(c_0_411,negated_conjecture,
    ( ~ product(e_1,e_1,X1)
    | ~ cycle(X2,X3)
    | ~ greater(X1,e_1)
    | ~ next(X3,e_1)
    | ~ next(e_1,X2) ),
    inference(spm,[status(thm)],[c_0_120,c_0_316]),
    [final] ).

cnf(c_0_412,plain,
    ( cycle(e_2,e_0)
    | ~ cycle(e_2,e_4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_50]),c_0_380]),c_0_381]),
    [final] ).

cnf(c_0_413,negated_conjecture,
    ( cycle(e_1,e_3)
    | ~ cycle(X1,X2)
    | ~ cycle(X3,X4)
    | ~ greater(e_1,X3)
    | ~ greater(X4,X2)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_312]),
    [final] ).

cnf(c_0_416,negated_conjecture,
    ( ~ product(e_1,e_1,X1)
    | ~ greater(X1,e_1)
    | ~ next(e_3,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_383]),c_0_127]),c_0_57])]),
    [final] ).

cnf(c_0_417,negated_conjecture,
    ( ~ product(e_1,e_1,X1)
    | ~ greater(X1,e_1)
    | ~ next(e_1,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_316]),c_0_105]),
    [final] ).

cnf(c_0_419,plain,
    product(e_4,e_1,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_385]),c_0_345])]),
    [final] ).

cnf(c_0_421,negated_conjecture,
    ( ~ cycle(X1,X2)
    | ~ greater(e_3,X2)
    | ~ next(e_4,e_1)
    | ~ next(e_4,X1) ),
    inference(spm,[status(thm)],[c_0_361,c_0_386]),
    [final] ).

cnf(c_0_422,negated_conjecture,
    ( ~ cycle(X1,X2)
    | ~ next(e_4,e_1)
    | ~ next(X2,e_1)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_386]),
    [final] ).

cnf(c_0_423,plain,
    ( ~ cycle(X1,e_3)
    | ~ cycle(X1,e_2) ),
    inference(spm,[status(thm)],[c_0_73,c_0_362]),
    [final] ).

cnf(c_0_424,negated_conjecture,
    ( ~ cycle(X1,X2)
    | ~ greater(e_2,X2)
    | ~ next(e_4,X1) ),
    inference(spm,[status(thm)],[c_0_331,c_0_308]),
    [final] ).

cnf(c_0_425,negated_conjecture,
    ( ~ cycle(X1,X2)
    | ~ next(X2,e_3)
    | ~ next(e_2,X1) ),
    inference(spm,[status(thm)],[c_0_83,c_0_308]),
    [final] ).

cnf(c_0_429,plain,
    ( cycle(e_3,e_3)
    | cycle(e_3,e_0)
    | ~ cycle(X1,e_2)
    | ~ next(e_3,X1) ),
    inference(spm,[status(thm)],[c_0_387,c_0_57]),
    [final] ).

cnf(c_0_431,negated_conjecture,
    ( product(X1,X2,e_3)
    | ~ product(X2,e_4,e_1)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_389]),
    [final] ).

cnf(c_0_432,negated_conjecture,
    ( product(X1,e_4,e_1)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_390,c_0_345]),
    [final] ).

cnf(c_0_433,negated_conjecture,
    ( product(X1,e_4,e_2)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_391,c_0_392]),
    [final] ).

cnf(c_0_434,negated_conjecture,
    ( product(X1,e_3,e_2)
    | ~ product(X1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_393,c_0_352]),
    [final] ).

cnf(c_0_435,negated_conjecture,
    ( product(X1,e_3,e_4)
    | ~ product(X1,e_1,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_269])]),
    [final] ).

cnf(c_0_436,plain,
    ( cycle(e_1,e_0)
    | ~ cycle(e_1,e_4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_299]),c_0_380]),c_0_381]),
    [final] ).

cnf(c_0_439,plain,
    ( cycle(e_1,e_2)
    | cycle(e_1,e_0)
    | ~ cycle(X1,e_1)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_397,c_0_53]),
    [final] ).

cnf(c_0_440,plain,
    ( cycle(e_3,e_2)
    | cycle(e_3,e_0)
    | ~ cycle(X1,e_1)
    | ~ next(e_3,X1) ),
    inference(spm,[status(thm)],[c_0_398,c_0_53]),
    [final] ).

cnf(c_0_441,plain,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_2)
    | cycle(e_3,e_3)
    | ~ cycle(X1,X2)
    | ~ greater(e_1,X2)
    | ~ next(e_4,X1) ),
    inference(spm,[status(thm)],[c_0_399,c_0_56]),
    [final] ).

cnf(c_0_442,axiom,
    greater(e_4,e_0),
    e_4_greater_e_0,
    [final] ).

cnf(c_0_453,negated_conjecture,
    ~ product(e_3,e_1,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_403,c_0_269])]),
    [final] ).

cnf(c_0_460,negated_conjecture,
    ( ~ product(e_1,e_1,e_2)
    | ~ next(e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_409,c_0_410]),
    [final] ).

cnf(c_0_461,negated_conjecture,
    ( ~ product(e_1,e_1,X1)
    | ~ cycle(e_2,e_4)
    | ~ greater(X1,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_127]),c_0_53])]),
    [final] ).

cnf(c_0_462,negated_conjecture,
    ( ~ product(e_1,e_1,X1)
    | ~ greater(X1,e_1)
    | ~ next(e_1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_87]),c_0_127])]),
    [final] ).

cnf(c_0_463,negated_conjecture,
    ( ~ product(e_1,e_1,X1)
    | ~ cycle(X2,X3)
    | ~ greater(X1,e_1)
    | ~ next(X3,e_2)
    | ~ next(e_1,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_316]),
    [final] ).

cnf(c_0_464,negated_conjecture,
    ( ~ product(e_1,e_1,X1)
    | ~ cycle(X2,X3)
    | ~ greater(X1,e_1)
    | ~ next(X3,e_4)
    | ~ next(e_1,X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_316]),
    [final] ).

cnf(c_0_465,negated_conjecture,
    ( cycle(e_1,e_3)
    | ~ cycle(e_0,X1)
    | ~ cycle(X2,X3)
    | ~ greater(X1,X3)
    | ~ next(e_1,X2) ),
    inference(spm,[status(thm)],[c_0_413,c_0_44]),
    [final] ).

cnf(c_0_466,negated_conjecture,
    ( ~ product(e_1,e_1,e_2)
    | ~ next(e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_414,c_0_410]),
    [final] ).

cnf(c_0_467,negated_conjecture,
    ( ~ product(e_1,e_1,e_2)
    | ~ next(e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_415,c_0_410]),
    [final] ).

cnf(c_0_468,negated_conjecture,
    ( ~ product(e_1,e_1,e_2)
    | ~ next(e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_416,c_0_410]),
    [final] ).

cnf(c_0_469,negated_conjecture,
    ( ~ product(e_1,e_1,e_2)
    | ~ next(e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_417,c_0_410]),
    [final] ).

cnf(c_0_470,plain,
    ( ~ greater(e_0,e_0)
    | ~ next(e_4,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_418,c_0_419])]),
    [final] ).

cnf(c_0_471,plain,
    ( ~ greater(e_0,e_0)
    | ~ next(e_4,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_420,c_0_419])]),
    [final] ).

cnf(c_0_472,negated_conjecture,
    ( ~ greater(e_3,e_3)
    | ~ next(e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_421,c_0_386]),
    [final] ).

cnf(c_0_473,negated_conjecture,
    ( ~ next(e_4,e_1)
    | ~ next(e_4,e_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_308]),c_0_61])]),
    [final] ).

cnf(c_0_474,negated_conjecture,
    ( ~ cycle(e_2,e_4)
    | ~ next(e_4,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_412]),c_0_127]),c_0_53])]),
    [final] ).

cnf(c_0_475,negated_conjecture,
    ( ~ next(e_4,e_1)
    | ~ next(e_1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_87]),c_0_127])]),
    [final] ).

cnf(c_0_476,negated_conjecture,
    ( ~ cycle(X1,X2)
    | ~ next(e_4,e_1)
    | ~ next(X2,e_2)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_386]),
    [final] ).

cnf(c_0_477,negated_conjecture,
    ( ~ cycle(X1,X2)
    | ~ next(e_4,e_1)
    | ~ next(X2,e_4)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_386]),
    [final] ).

cnf(c_0_478,negated_conjecture,
    ( ~ product(e_1,e_1,e_1)
    | ~ product(e_1,e_1,X1)
    | ~ greater(X1,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_316]),c_0_48]),c_0_53])]),
    [final] ).

cnf(c_0_479,negated_conjecture,
    ( ~ product(e_1,e_1,X1)
    | ~ cycle(e_1,e_2)
    | ~ greater(X1,e_1) ),
    inference(spm,[status(thm)],[c_0_423,c_0_316]),
    [final] ).

cnf(c_0_480,negated_conjecture,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_2)
    | cycle(e_3,e_3)
    | ~ next(e_4,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_56]),c_0_410])]),
    [final] ).

cnf(c_0_481,negated_conjecture,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_2)
    | cycle(e_3,e_3)
    | ~ next(e_1,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_56]),c_0_57])]),
    [final] ).

cnf(c_0_482,negated_conjecture,
    ( cycle(e_1,e_3)
    | ~ cycle(X1,X2)
    | ~ greater(e_0,X2)
    | ~ next(e_4,X1) ),
    inference(spm,[status(thm)],[c_0_361,c_0_312]),
    [final] ).

cnf(c_0_483,negated_conjecture,
    ( ~ product(e_1,e_1,e_1)
    | ~ greater(e_0,e_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_426]),c_0_48]),c_0_53])]),
    [final] ).

cnf(c_0_484,negated_conjecture,
    ( ~ next(e_3,e_1)
    | ~ next(e_4,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_427]),c_0_127]),c_0_57])]),
    [final] ).

cnf(c_0_485,negated_conjecture,
    ( ~ next(e_4,e_1)
    | ~ next(e_1,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_428]),c_0_66])]),
    [final] ).

cnf(c_0_486,negated_conjecture,
    ( ~ greater(e_2,e_2)
    | ~ next(e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_424,c_0_308]),
    [final] ).

cnf(c_0_487,negated_conjecture,
    ( ~ product(e_1,e_1,e_1)
    | ~ next(e_4,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_386]),c_0_48]),c_0_53])]),
    [final] ).

cnf(c_0_488,negated_conjecture,
    ( ~ cycle(e_1,e_2)
    | ~ next(e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_423,c_0_386]),
    [final] ).

cnf(c_0_489,negated_conjecture,
    ( ~ greater(e_2,e_3)
    | ~ next(e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_365,c_0_386]),
    [final] ).

cnf(c_0_490,negated_conjecture,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_2)
    | cycle(e_3,e_3)
    | ~ next(e_1,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_56]),c_0_57])]),
    [final] ).

cnf(c_0_491,negated_conjecture,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_3)
    | ~ next(e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_429,c_0_430]),
    [final] ).

cnf(c_0_492,negated_conjecture,
    ( product(X1,X2,e_3)
    | ~ product(X2,e_3,e_4)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_431,c_0_432]),
    [final] ).

cnf(c_0_493,negated_conjecture,
    ( product(X1,X2,e_2)
    | ~ product(X2,e_2,e_1)
    | ~ product(X1,e_4,X2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_433]),
    [final] ).

cnf(c_0_494,negated_conjecture,
    ( product(X1,X2,e_2)
    | ~ product(X2,e_2,e_4)
    | ~ product(X1,e_3,X2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_434]),
    [final] ).

cnf(c_0_495,negated_conjecture,
    ( product(X1,X2,e_1)
    | ~ product(X2,e_3,e_4)
    | ~ product(X1,e_4,X2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_432]),
    [final] ).

cnf(c_0_496,negated_conjecture,
    ( ~ product(X1,e_3,e_3)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_389]),
    [final] ).

cnf(c_0_497,negated_conjecture,
    ( ~ product(X1,e_2,e_3)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_154,c_0_389]),
    [final] ).

cnf(c_0_498,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_227,c_0_389]),
    [final] ).

cnf(c_0_499,negated_conjecture,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_2)
    | cycle(e_3,e_3)
    | ~ next(e_1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_56]),c_0_57])]),
    [final] ).

cnf(c_0_500,negated_conjecture,
    ( product(X1,e_3,e_4)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_435,c_0_389]),
    [final] ).

cnf(c_0_501,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_148,c_0_433]),
    [final] ).

cnf(c_0_502,negated_conjecture,
    ( ~ product(X1,e_4,e_3)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_207,c_0_432]),
    [final] ).

cnf(c_0_503,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_225,c_0_432]),
    [final] ).

cnf(c_0_504,negated_conjecture,
    ( ~ product(X1,e_3,e_3)
    | ~ product(X1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_148,c_0_352]),
    [final] ).

cnf(c_0_505,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | ~ product(X1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_227,c_0_352]),
    [final] ).

cnf(c_0_506,negated_conjecture,
    ( ~ cycle(e_1,e_4)
    | ~ next(e_4,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_436]),c_0_66])]),
    [final] ).

cnf(c_0_507,negated_conjecture,
    ( ~ cycle(e_2,e_4)
    | ~ next(e_4,e_2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_412]),c_0_380]),
    [final] ).

cnf(c_0_508,plain,
    ( cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_0)
    | ~ next(e_3,e_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_437,c_0_388])]),
    [final] ).

cnf(c_0_509,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | ~ product(X1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_81,c_0_354]),
    [final] ).

cnf(c_0_510,negated_conjecture,
    ( ~ product(X1,e_3,e_2)
    | ~ product(X1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_225,c_0_354]),
    [final] ).

cnf(c_0_511,negated_conjecture,
    ( product(X1,e_2,e_1)
    | ~ product(X1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_286]),
    [final] ).

cnf(c_0_512,negated_conjecture,
    ( product(X1,X2,e_4)
    | ~ product(X2,e_2,e_1)
    | ~ product(X1,e_1,X2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_392]),
    [final] ).

cnf(c_0_513,negated_conjecture,
    ( ~ product(X1,e_3,e_4)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_392]),
    [final] ).

cnf(c_0_514,negated_conjecture,
    ( ~ product(X1,e_4,e_4)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_392]),
    [final] ).

cnf(c_0_515,negated_conjecture,
    ( ~ product(X1,e_1,e_3)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_99,c_0_392]),
    [final] ).

cnf(c_0_516,negated_conjecture,
    ( ~ product(X1,e_1,e_2)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_98,c_0_392]),
    [final] ).

cnf(c_0_517,negated_conjecture,
    ( ~ product(X1,e_4,e_2)
    | ~ product(X1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_325]),
    [final] ).

cnf(c_0_518,negated_conjecture,
    ( ~ product(X1,e_2,e_2)
    | ~ product(X1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_154,c_0_325]),
    [final] ).

cnf(c_0_519,plain,
    ( product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | ~ greater(e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_328]),
    [final] ).

cnf(c_0_520,plain,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_2)
    | cycle(e_1,e_0)
    | cycle(e_1,e_2)
    | ~ next(e_1,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_56]),c_0_337]),
    [final] ).

cnf(c_0_521,plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_2)
    | cycle(e_3,e_0)
    | cycle(e_3,e_2)
    | ~ next(e_3,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_299]),c_0_363]),
    [final] ).

cnf(c_0_522,plain,
    ( cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_0)
    | ~ cycle(X1,e_0)
    | ~ next(e_4,X1) ),
    inference(spm,[status(thm)],[c_0_441,c_0_44]),
    [final] ).

cnf(c_0_523,plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_2)
    | ~ next(e_1,e_1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_299]),c_0_337]),
    [final] ).

cnf(c_0_524,plain,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_2)
    | ~ next(e_3,e_3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_56]),c_0_363]),
    [final] ).

cnf(c_0_525,plain,
    ( ~ cycle(e_1,e_4)
    | ~ cycle(X1,X2)
    | ~ cycle(X3,X4)
    | ~ greater(e_1,X3)
    | ~ greater(X4,X2)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_436]),
    [final] ).

cnf(c_0_526,plain,
    ( ~ cycle(e_2,e_4)
    | ~ cycle(X1,X2)
    | ~ cycle(X3,X4)
    | ~ greater(e_2,X3)
    | ~ greater(X4,X2)
    | ~ next(e_2,X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_412]),
    [final] ).

cnf(c_0_527,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ greater(e_0,e_0)
    | ~ next(e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_317,c_0_87]),
    [final] ).

cnf(c_0_528,plain,
    ( ~ product(e_4,e_1,e_4)
    | ~ greater(e_0,e_0)
    | ~ next(e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_315,c_0_87]),
    [final] ).

cnf(c_0_529,plain,
    ( ~ cycle(e_1,e_4)
    | ~ cycle(X1,X2)
    | ~ greater(e_0,X2)
    | ~ next(e_4,X1) ),
    inference(spm,[status(thm)],[c_0_361,c_0_436]),
    [final] ).

cnf(c_0_530,plain,
    ( ~ cycle(e_2,e_4)
    | ~ cycle(X1,X2)
    | ~ greater(e_0,X2)
    | ~ next(e_4,X1) ),
    inference(spm,[status(thm)],[c_0_331,c_0_412]),
    [final] ).

cnf(c_0_531,plain,
    ( ~ cycle(e_0,X1)
    | ~ cycle(X2,X3)
    | ~ greater(X1,X3)
    | ~ next(e_4,X2) ),
    inference(spm,[status(thm)],[c_0_323,c_0_442]),
    [final] ).

cnf(c_0_532,plain,
    ( ~ cycle(X1,e_4)
    | ~ cycle(X2,X3)
    | ~ next(X3,e_1)
    | ~ next(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_43]),c_0_442])]),
    [final] ).

cnf(c_0_533,plain,
    ( ~ cycle(X1,e_4)
    | ~ cycle(X2,X3)
    | ~ next(X3,e_2)
    | ~ next(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_43]),c_0_442])]),
    [final] ).

cnf(c_0_534,plain,
    ( ~ cycle(X1,e_4)
    | ~ cycle(X2,X3)
    | ~ next(X3,e_3)
    | ~ next(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_43]),c_0_442])]),
    [final] ).

cnf(c_0_535,plain,
    ( ~ product(e_1,e_1,X1)
    | ~ cycle(e_1,e_4)
    | ~ greater(X1,e_1) ),
    inference(spm,[status(thm)],[c_0_105,c_0_436]),
    [final] ).

cnf(c_0_536,plain,
    ( ~ product(e_2,e_1,X1)
    | ~ cycle(e_2,e_4)
    | ~ greater(X1,e_2) ),
    inference(spm,[status(thm)],[c_0_105,c_0_412]),
    [final] ).

cnf(c_0_537,plain,
    ( ~ product(e_4,e_1,X1)
    | ~ greater(X1,e_4) ),
    inference(spm,[status(thm)],[c_0_105,c_0_87]),
    [final] ).

cnf(c_0_538,plain,
    ( ~ cycle(X1,e_3)
    | ~ cycle(X1,e_1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_362]),
    [final] ).

cnf(c_0_539,plain,
    ( ~ cycle(X1,e_1)
    | ~ cycle(X1,e_2) ),
    inference(spm,[status(thm)],[c_0_119,c_0_362]),
    [final] ).

cnf(c_0_540,negated_conjecture,
    ~ product(e_1,e_3,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_443,c_0_419])]),
    [final] ).

cnf(c_0_541,plain,
    ~ product(e_3,e_1,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_444]),c_0_282])]),
    [final] ).

cnf(c_0_542,negated_conjecture,
    ~ product(e_1,e_4,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_389]),c_0_289])]),
    [final] ).

cnf(c_0_543,negated_conjecture,
    ~ product(e_3,e_4,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_389]),c_0_289])]),
    [final] ).

cnf(c_0_544,negated_conjecture,
    ~ product(e_4,e_4,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_389]),c_0_289])]),
    [final] ).

cnf(c_0_545,negated_conjecture,
    ~ product(e_1,e_3,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_432]),c_0_286])]),
    [final] ).

cnf(c_0_546,negated_conjecture,
    ~ product(e_4,e_2,e_2),
    inference(spm,[status(thm)],[c_0_227,c_0_345]),
    [final] ).

cnf(c_0_547,negated_conjecture,
    ~ next(e_4,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_87]),c_0_66])]),
    [final] ).

cnf(c_0_548,negated_conjecture,
    ~ cycle(e_3,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_446]),c_0_127]),c_0_57])]),
    [final] ).

cnf(c_0_549,negated_conjecture,
    ~ product(e_2,e_1,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_447]),c_0_66]),c_0_57])]),
    [final] ).

cnf(c_0_550,negated_conjecture,
    ~ next(e_2,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_448]),c_0_289]),c_0_66])]),
    [final] ).

cnf(c_0_551,negated_conjecture,
    ~ next(e_2,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_449]),c_0_289]),c_0_66])]),
    [final] ).

cnf(c_0_552,negated_conjecture,
    ~ product(e_4,e_4,e_2),
    inference(spm,[status(thm)],[c_0_98,c_0_318]),
    [final] ).

cnf(c_0_553,negated_conjecture,
    ~ product(e_2,e_2,e_3),
    inference(spm,[status(thm)],[c_0_154,c_0_289]),
    [final] ).

cnf(c_0_554,negated_conjecture,
    ~ next(e_2,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_450]),c_0_289]),c_0_66])]),
    [final] ).

cnf(c_0_555,negated_conjecture,
    ~ product(e_3,e_2,e_3),
    inference(spm,[status(thm)],[c_0_207,c_0_346]),
    [final] ).

cnf(c_0_556,plain,
    ~ product(e_3,e_2,e_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_451,c_0_286])]),
    [final] ).

cnf(c_0_557,negated_conjecture,
    ~ product(e_1,e_3,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_452]),c_0_282])]),
    [final] ).

cnf(c_0_558,negated_conjecture,
    ~ product(e_1,e_2,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_392]),c_0_388])]),
    [final] ).

cnf(c_0_559,negated_conjecture,
    ~ product(e_4,e_2,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_392]),c_0_388])]),
    [final] ).

cnf(c_0_560,negated_conjecture,
    ~ product(e_3,e_3,e_1),
    inference(spm,[status(thm)],[c_0_453,c_0_325]),
    [final] ).

cnf(c_0_561,negated_conjecture,
    ~ product(e_4,e_2,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_407,c_0_269])]),
    [final] ).

cnf(c_0_562,negated_conjecture,
    ~ product(e_3,e_2,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_454,c_0_269])]),
    [final] ).

cnf(c_0_563,negated_conjecture,
    ~ product(e_3,e_1,e_3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_455,c_0_269])]),
    [final] ).

cnf(c_0_564,negated_conjecture,
    ~ product(e_2,e_1,e_4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_456,c_0_269])]),
    [final] ).

cnf(c_0_565,negated_conjecture,
    ~ product(e_2,e_3,e_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_457]),c_0_205])]),
    [final] ).

cnf(c_0_566,negated_conjecture,
    ~ product(e_2,e_2,e_1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_459]),c_0_207]),
    [final] ).

cnf(c_0_567,negated_conjecture,
    ~ product(e_2,e_3,e_3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_190]),c_0_99]),
    [final] ).

cnf(c_0_568,negated_conjecture,
    ~ product(e_2,e_3,e_2),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_186]),c_0_225]),c_0_98]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GRP128-3.004 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n005.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 02:48:01 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.W3lL9ncuw1/E---3.1_30439.p
% 1.52/0.61  # Version: 3.1pre001
% 1.52/0.61  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.52/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.52/0.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.52/0.61  # Starting new_bool_3 with 300s (1) cores
% 1.52/0.61  # Starting new_bool_1 with 300s (1) cores
% 1.52/0.61  # Starting sh5l with 300s (1) cores
% 1.52/0.61  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 30517 completed with status 1
% 1.52/0.61  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.52/0.61  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.52/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.52/0.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.52/0.61  # No SInE strategy applied
% 1.52/0.61  # Search class: FGHNF-FFMM00-SFFFFFNN
% 1.52/0.61  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.52/0.61  # Starting H----_011_C07_F1_PI_AE_OS_S1U with 811s (1) cores
% 1.52/0.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.52/0.61  # Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 1.52/0.61  # Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.52/0.61  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 1.52/0.61  # G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 30525 completed with status 1
% 1.52/0.61  # Result found by G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 1.52/0.61  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.52/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.52/0.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.52/0.61  # No SInE strategy applied
% 1.52/0.61  # Search class: FGHNF-FFMM00-SFFFFFNN
% 1.52/0.61  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.52/0.61  # Starting H----_011_C07_F1_PI_AE_OS_S1U with 811s (1) cores
% 1.52/0.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.52/0.61  # Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 1.52/0.61  # Preprocessing time       : 0.001 s
% 1.52/0.61  # Presaturation interreduction done
% 1.52/0.61  
% 1.52/0.61  # No proof found!
% 1.52/0.61  # SZS status Satisfiable
% 1.52/0.61  # SZS output start Saturation
% See solution above
% 1.52/0.61  # Parsed axioms                        : 42
% 1.52/0.61  # Removed by relevancy pruning/SinE    : 0
% 1.52/0.61  # Initial clauses                      : 42
% 1.52/0.61  # Removed in clause preprocessing      : 0
% 1.52/0.61  # Initial clauses in saturation        : 42
% 1.52/0.61  # Processed clauses                    : 2261
% 1.52/0.61  # ...of these trivial                  : 26
% 1.52/0.61  # ...subsumed                          : 1014
% 1.52/0.61  # ...remaining for further processing  : 1221
% 1.52/0.61  # Other redundant clauses eliminated   : 0
% 1.52/0.61  # Clauses deleted for lack of memory   : 0
% 1.52/0.61  # Backward-subsumed                    : 695
% 1.52/0.61  # Backward-rewritten                   : 140
% 1.52/0.61  # Generated clauses                    : 4218
% 1.52/0.61  # ...of the previous two non-redundant : 3990
% 1.52/0.61  # ...aggressively subsumed             : 0
% 1.52/0.61  # Contextual simplify-reflections      : 194
% 1.52/0.61  # Paramodulations                      : 4163
% 1.52/0.61  # Factorizations                       : 0
% 1.52/0.61  # NegExts                              : 0
% 1.52/0.61  # Equation resolutions                 : 0
% 1.52/0.61  # Total rewrite steps                  : 1310
% 1.52/0.61  # Propositional unsat checks           : 0
% 1.52/0.61  #    Propositional check models        : 0
% 1.52/0.61  #    Propositional check unsatisfiable : 0
% 1.52/0.61  #    Propositional clauses             : 0
% 1.52/0.61  #    Propositional clauses after purity: 0
% 1.52/0.61  #    Propositional unsat core size     : 0
% 1.52/0.61  #    Propositional preprocessing time  : 0.000
% 1.52/0.61  #    Propositional encoding time       : 0.000
% 1.52/0.61  #    Propositional solver time         : 0.000
% 1.52/0.61  #    Success case prop preproc time    : 0.000
% 1.52/0.61  #    Success case prop encoding time   : 0.000
% 1.52/0.61  #    Success case prop solver time     : 0.000
% 1.52/0.61  # Current number of processed clauses  : 289
% 1.52/0.61  #    Positive orientable unit clauses  : 33
% 1.52/0.61  #    Positive unorientable unit clauses: 0
% 1.52/0.61  #    Negative unit clauses             : 59
% 1.52/0.61  #    Non-unit-clauses                  : 197
% 1.52/0.61  # Current number of unprocessed clauses: 0
% 1.52/0.61  # ...number of literals in the above   : 0
% 1.52/0.61  # Current number of archived formulas  : 0
% 1.52/0.61  # Current number of archived clauses   : 932
% 1.52/0.61  # Clause-clause subsumption calls (NU) : 92291
% 1.52/0.61  # Rec. Clause-clause subsumption calls : 37127
% 1.52/0.61  # Non-unit clause-clause subsumptions  : 1159
% 1.52/0.61  # Unit Clause-clause subsumption calls : 10152
% 1.52/0.61  # Rewrite failures with RHS unbound    : 0
% 1.52/0.61  # BW rewrite match attempts            : 56
% 1.52/0.61  # BW rewrite match successes           : 14
% 1.52/0.61  # Condensation attempts                : 0
% 1.52/0.61  # Condensation successes               : 0
% 1.52/0.61  # Termbank termtop insertions          : 60509
% 1.52/0.61  
% 1.52/0.61  # -------------------------------------------------
% 1.52/0.61  # User time                : 0.159 s
% 1.52/0.61  # System time              : 0.009 s
% 1.52/0.61  # Total time               : 0.168 s
% 1.52/0.61  # Maximum resident set size: 1660 pages
% 1.52/0.61  
% 1.52/0.61  # -------------------------------------------------
% 1.52/0.61  # User time                : 0.802 s
% 1.52/0.61  # System time              : 0.024 s
% 1.52/0.61  # Total time               : 0.826 s
% 1.52/0.61  # Maximum resident set size: 1732 pages
% 1.52/0.61  % E---3.1 exiting
% 1.52/0.62  % E---3.1 exiting
%------------------------------------------------------------------------------