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Prover9---2026-6A.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : GRP128-3.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% 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 : Sun Sep 27 07:27:42 AM UTC 2026

% Result   : Unsatisfiable 177.80s 24.10s
% Output   : CNFRefutation 177.80s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(e_1_is_not_e_2,axiom,
    ~ equalish(e_1,e_2),
    file('theBenchmark.p',e_1_is_not_e_2) ).

cnf(c_1,plain,
    ~ equalish(e_1,e_2),
    inference(clausify,[status(thm)],[e_1_is_not_e_2]) ).

fof(cycle7,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( equalish(VAR_2,VAR_3)
      | ~ next(VAR_0,VAR_3)
      | ~ greater(VAR_1,e_0)
      | ~ product(VAR_0,e_1,VAR_2)
      | ~ cycle(VAR_0,VAR_1) ),
    file('theBenchmark.p',cycle7) ).

cnf(c_2,plain,
    ( equalish(C,D)
    | ~ next(A,D)
    | ~ greater(B,e_0)
    | ~ product(A,e_1,C)
    | ~ cycle(A,B) ),
    inference(clausify,[status(thm)],[cycle7]) ).

fof(cycle4,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
      ( equalish(VAR_1,VAR_4)
      | ~ next(VAR_3,VAR_4)
      | ~ greater(VAR_1,e_0)
      | ~ next(VAR_0,VAR_2)
      | ~ cycle(VAR_2,VAR_3)
      | ~ cycle(VAR_0,VAR_1) ),
    file('theBenchmark.p',cycle4) ).

cnf(c_3,plain,
    ( equalish(B,E)
    | ~ next(D,E)
    | ~ greater(B,e_0)
    | ~ next(A,C)
    | ~ cycle(C,D)
    | ~ cycle(A,B) ),
    inference(clausify,[status(thm)],[cycle4]) ).

fof(e_1_is_not_e_3,axiom,
    ~ equalish(e_1,e_3),
    file('theBenchmark.p',e_1_is_not_e_3) ).

cnf(c_5,plain,
    ~ equalish(e_1,e_3),
    inference(clausify,[status(thm)],[e_1_is_not_e_3]) ).

fof(e_1_is_not_e_4,axiom,
    ~ equalish(e_1,e_4),
    file('theBenchmark.p',e_1_is_not_e_4) ).

cnf(c_6,plain,
    ~ equalish(e_1,e_4),
    inference(clausify,[status(thm)],[e_1_is_not_e_4]) ).

fof(e_1_is_not_e_5,axiom,
    ~ equalish(e_1,e_5),
    file('theBenchmark.p',e_1_is_not_e_5) ).

cnf(c_7,plain,
    ~ equalish(e_1,e_5),
    inference(clausify,[status(thm)],[e_1_is_not_e_5]) ).

fof(e_2_is_not_e_1,axiom,
    ~ equalish(e_2,e_1),
    file('theBenchmark.p',e_2_is_not_e_1) ).

cnf(c_8,plain,
    ~ equalish(e_2,e_1),
    inference(clausify,[status(thm)],[e_2_is_not_e_1]) ).

fof(e_2_is_not_e_3,axiom,
    ~ equalish(e_2,e_3),
    file('theBenchmark.p',e_2_is_not_e_3) ).

cnf(c_9,plain,
    ~ equalish(e_2,e_3),
    inference(clausify,[status(thm)],[e_2_is_not_e_3]) ).

fof(e_2_is_not_e_5,axiom,
    ~ equalish(e_2,e_5),
    file('theBenchmark.p',e_2_is_not_e_5) ).

cnf(c_11,plain,
    ~ equalish(e_2,e_5),
    inference(clausify,[status(thm)],[e_2_is_not_e_5]) ).

fof(e_3_is_not_e_1,axiom,
    ~ equalish(e_3,e_1),
    file('theBenchmark.p',e_3_is_not_e_1) ).

cnf(c_12,plain,
    ~ equalish(e_3,e_1),
    inference(clausify,[status(thm)],[e_3_is_not_e_1]) ).

fof(e_3_is_not_e_2,axiom,
    ~ equalish(e_3,e_2),
    file('theBenchmark.p',e_3_is_not_e_2) ).

cnf(c_13,plain,
    ~ equalish(e_3,e_2),
    inference(clausify,[status(thm)],[e_3_is_not_e_2]) ).

fof(e_3_is_not_e_5,axiom,
    ~ equalish(e_3,e_5),
    file('theBenchmark.p',e_3_is_not_e_5) ).

cnf(c_15,plain,
    ~ equalish(e_3,e_5),
    inference(clausify,[status(thm)],[e_3_is_not_e_5]) ).

fof(e_4_is_not_e_1,axiom,
    ~ equalish(e_4,e_1),
    file('theBenchmark.p',e_4_is_not_e_1) ).

cnf(c_16,plain,
    ~ equalish(e_4,e_1),
    inference(clausify,[status(thm)],[e_4_is_not_e_1]) ).

fof(e_4_is_not_e_2,axiom,
    ~ equalish(e_4,e_2),
    file('theBenchmark.p',e_4_is_not_e_2) ).

cnf(c_17,plain,
    ~ equalish(e_4,e_2),
    inference(clausify,[status(thm)],[e_4_is_not_e_2]) ).

fof(e_4_is_not_e_3,axiom,
    ~ equalish(e_4,e_3),
    file('theBenchmark.p',e_4_is_not_e_3) ).

cnf(c_18,plain,
    ~ equalish(e_4,e_3),
    inference(clausify,[status(thm)],[e_4_is_not_e_3]) ).

fof(e_5_is_not_e_1,axiom,
    ~ equalish(e_5,e_1),
    file('theBenchmark.p',e_5_is_not_e_1) ).

cnf(c_20,plain,
    ~ equalish(e_5,e_1),
    inference(clausify,[status(thm)],[e_5_is_not_e_1]) ).

fof(e_5_is_not_e_2,axiom,
    ~ equalish(e_5,e_2),
    file('theBenchmark.p',e_5_is_not_e_2) ).

cnf(c_21,plain,
    ~ equalish(e_5,e_2),
    inference(clausify,[status(thm)],[e_5_is_not_e_2]) ).

fof(e_5_is_not_e_3,axiom,
    ~ equalish(e_5,e_3),
    file('theBenchmark.p',e_5_is_not_e_3) ).

cnf(c_22,plain,
    ~ equalish(e_5,e_3),
    inference(clausify,[status(thm)],[e_5_is_not_e_3]) ).

fof(e_5_is_not_e_4,axiom,
    ~ equalish(e_5,e_4),
    file('theBenchmark.p',e_5_is_not_e_4) ).

cnf(c_23,plain,
    ~ equalish(e_5,e_4),
    inference(clausify,[status(thm)],[e_5_is_not_e_4]) ).

fof(product_total_function2,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( equalish(VAR_2,VAR_3)
      | ~ product(VAR_0,VAR_1,VAR_3)
      | ~ product(VAR_0,VAR_1,VAR_2) ),
    file('theBenchmark.p',product_total_function2) ).

cnf(c_24,plain,
    ( equalish(C,D)
    | ~ product(A,B,D)
    | ~ product(A,B,C) ),
    inference(clausify,[status(thm)],[product_total_function2]) ).

fof(product_right_cancellation,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( equalish(VAR_1,VAR_3)
      | ~ product(VAR_0,VAR_3,VAR_2)
      | ~ product(VAR_0,VAR_1,VAR_2) ),
    file('theBenchmark.p',product_right_cancellation) ).

cnf(c_25,plain,
    ( equalish(B,D)
    | ~ product(A,D,C)
    | ~ product(A,B,C) ),
    inference(clausify,[status(thm)],[product_right_cancellation]) ).

fof(product_left_cancellation,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( equalish(VAR_0,VAR_3)
      | ~ product(VAR_3,VAR_1,VAR_2)
      | ~ product(VAR_0,VAR_1,VAR_2) ),
    file('theBenchmark.p',product_left_cancellation) ).

cnf(c_26,plain,
    ( equalish(A,D)
    | ~ product(D,B,C)
    | ~ product(A,B,C) ),
    inference(clausify,[status(thm)],[product_left_cancellation]) ).

cnf(c_27,plain,
    ( ~ product(e_1,A,B)
    | ~ product(e_2,A,B) ),
    inference(resolve,[status(thm)],[c_26,c_8]) ).

cnf(c_28,plain,
    ( ~ product(e_1,A,B)
    | ~ product(e_3,A,B) ),
    inference(resolve,[status(thm)],[c_26,c_12]) ).

cnf(c_29,plain,
    ( ~ product(e_2,A,B)
    | ~ product(e_3,A,B) ),
    inference(resolve,[status(thm)],[c_26,c_13]) ).

cnf(c_30,plain,
    ( ~ product(e_1,A,B)
    | ~ product(e_4,A,B) ),
    inference(resolve,[status(thm)],[c_26,c_16]) ).

cnf(c_31,plain,
    ( ~ product(e_2,A,B)
    | ~ product(e_4,A,B) ),
    inference(resolve,[status(thm)],[c_26,c_17]) ).

cnf(c_32,plain,
    ( ~ product(e_3,A,B)
    | ~ product(e_4,A,B) ),
    inference(resolve,[status(thm)],[c_26,c_18]) ).

cnf(c_33,plain,
    ( ~ product(e_1,A,B)
    | ~ product(e_5,A,B) ),
    inference(resolve,[status(thm)],[c_26,c_20]) ).

cnf(c_34,plain,
    ( ~ product(e_2,A,B)
    | ~ product(e_5,A,B) ),
    inference(resolve,[status(thm)],[c_26,c_21]) ).

cnf(c_35,plain,
    ( ~ product(e_3,A,B)
    | ~ product(e_5,A,B) ),
    inference(resolve,[status(thm)],[c_26,c_22]) ).

cnf(c_36,plain,
    ( ~ product(e_4,A,B)
    | ~ product(e_5,A,B) ),
    inference(resolve,[status(thm)],[c_26,c_23]) ).

cnf(c_37,plain,
    ( ~ product(A,e_1,B)
    | ~ product(A,e_2,B) ),
    inference(resolve,[status(thm)],[c_25,c_8]) ).

cnf(c_38,plain,
    ( ~ product(A,e_1,B)
    | ~ product(A,e_3,B) ),
    inference(resolve,[status(thm)],[c_25,c_12]) ).

cnf(c_39,plain,
    ( ~ product(A,e_2,B)
    | ~ product(A,e_3,B) ),
    inference(resolve,[status(thm)],[c_25,c_13]) ).

cnf(c_40,plain,
    ( ~ product(A,e_1,B)
    | ~ product(A,e_4,B) ),
    inference(resolve,[status(thm)],[c_25,c_16]) ).

cnf(c_41,plain,
    ( ~ product(A,e_2,B)
    | ~ product(A,e_4,B) ),
    inference(resolve,[status(thm)],[c_25,c_17]) ).

cnf(c_42,plain,
    ( ~ product(A,e_3,B)
    | ~ product(A,e_4,B) ),
    inference(resolve,[status(thm)],[c_25,c_18]) ).

cnf(c_43,plain,
    ( ~ product(A,e_1,B)
    | ~ product(A,e_5,B) ),
    inference(resolve,[status(thm)],[c_25,c_20]) ).

cnf(c_44,plain,
    ( ~ product(A,e_2,B)
    | ~ product(A,e_5,B) ),
    inference(resolve,[status(thm)],[c_25,c_21]) ).

cnf(c_45,plain,
    ( ~ product(A,e_3,B)
    | ~ product(A,e_5,B) ),
    inference(resolve,[status(thm)],[c_25,c_22]) ).

cnf(c_46,plain,
    ( ~ product(A,e_4,B)
    | ~ product(A,e_5,B) ),
    inference(resolve,[status(thm)],[c_25,c_23]) ).

cnf(c_47,plain,
    ( ~ product(A,B,e_1)
    | ~ product(A,B,e_2) ),
    inference(resolve,[status(thm)],[c_24,c_8]) ).

cnf(c_48,plain,
    ( ~ product(A,B,e_1)
    | ~ product(A,B,e_3) ),
    inference(resolve,[status(thm)],[c_24,c_12]) ).

cnf(c_49,plain,
    ( ~ product(A,B,e_2)
    | ~ product(A,B,e_3) ),
    inference(resolve,[status(thm)],[c_24,c_13]) ).

cnf(c_50,plain,
    ( ~ product(A,B,e_1)
    | ~ product(A,B,e_4) ),
    inference(resolve,[status(thm)],[c_24,c_16]) ).

cnf(c_51,plain,
    ( ~ product(A,B,e_2)
    | ~ product(A,B,e_4) ),
    inference(resolve,[status(thm)],[c_24,c_17]) ).

cnf(c_53,plain,
    ( ~ product(A,B,e_1)
    | ~ product(A,B,e_5) ),
    inference(resolve,[status(thm)],[c_24,c_20]) ).

cnf(c_60,plain,
    ( ~ next(A,e_3)
    | ~ greater(B,e_0)
    | ~ product(A,e_1,e_5)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_22,c_2]) ).

cnf(c_68,plain,
    ( ~ next(C,e_3)
    | ~ greater(e_4,e_0)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_4) ),
    inference(resolve,[status(thm)],[c_18,c_3]) ).

cnf(c_69,plain,
    ( ~ next(A,e_3)
    | ~ greater(B,e_0)
    | ~ product(A,e_1,e_4)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_18,c_2]) ).

cnf(c_70,plain,
    ( ~ next(C,e_2)
    | ~ greater(e_4,e_0)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_4) ),
    inference(resolve,[status(thm)],[c_17,c_3]) ).

cnf(c_72,plain,
    ( ~ next(C,e_1)
    | ~ greater(e_4,e_0)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_4) ),
    inference(resolve,[status(thm)],[c_16,c_3]) ).

cnf(c_76,plain,
    ( ~ next(A,e_5)
    | ~ greater(B,e_0)
    | ~ product(A,e_1,e_3)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_15,c_2]) ).

cnf(c_80,plain,
    ( ~ next(C,e_2)
    | ~ greater(e_3,e_0)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_3) ),
    inference(resolve,[status(thm)],[c_13,c_3]) ).

cnf(c_82,plain,
    ( ~ next(C,e_1)
    | ~ greater(e_3,e_0)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_3) ),
    inference(resolve,[status(thm)],[c_12,c_3]) ).

cnf(c_86,plain,
    ( ~ next(A,e_5)
    | ~ greater(B,e_0)
    | ~ product(A,e_1,e_2)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_11,c_2]) ).

cnf(c_91,plain,
    ( ~ next(C,e_3)
    | ~ greater(e_2,e_0)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_2) ),
    inference(resolve,[status(thm)],[c_9,c_3]) ).

cnf(c_93,plain,
    ( ~ next(C,e_1)
    | ~ greater(e_2,e_0)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_2) ),
    inference(resolve,[status(thm)],[c_8,c_3]) ).

cnf(c_96,plain,
    ( ~ next(C,e_5)
    | ~ greater(e_1,e_0)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_1) ),
    inference(resolve,[status(thm)],[c_7,c_3]) ).

cnf(c_97,plain,
    ( ~ next(A,e_5)
    | ~ greater(B,e_0)
    | ~ product(A,e_1,e_1)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_7,c_2]) ).

cnf(c_99,plain,
    ( ~ next(C,e_4)
    | ~ greater(e_1,e_0)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_1) ),
    inference(resolve,[status(thm)],[c_6,c_3]) ).

cnf(c_102,plain,
    ( ~ next(C,e_3)
    | ~ greater(e_1,e_0)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_1) ),
    inference(resolve,[status(thm)],[c_5,c_3]) ).

cnf(c_105,plain,
    ( ~ next(C,e_2)
    | ~ greater(e_1,e_0)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_1) ),
    inference(resolve,[status(thm)],[c_1,c_3]) ).

fof(qg3,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( product(VAR_0,VAR_2,VAR_3)
      | ~ product(VAR_2,VAR_1,VAR_3)
      | ~ product(VAR_0,VAR_1,VAR_2) ),
    file('theBenchmark.p',qg3) ).

cnf(c_107,plain,
    ( product(A,C,D)
    | ~ product(C,B,D)
    | ~ product(A,B,C) ),
    inference(clausify,[status(thm)],[qg3]) ).

fof(product_total_function1,axiom,
    ! [VAR_0,VAR_1] :
      ( product(VAR_0,VAR_1,e_5)
      | product(VAR_0,VAR_1,e_4)
      | product(VAR_0,VAR_1,e_3)
      | product(VAR_0,VAR_1,e_2)
      | product(VAR_0,VAR_1,e_1)
      | ~ group_element(VAR_1)
      | ~ group_element(VAR_0) ),
    file('theBenchmark.p',product_total_function1) ).

cnf(c_108,plain,
    ( product(A,B,e_5)
    | product(A,B,e_4)
    | product(A,B,e_3)
    | product(A,B,e_2)
    | product(A,B,e_1)
    | ~ group_element(B)
    | ~ group_element(A) ),
    inference(clausify,[status(thm)],[product_total_function1]) ).

fof(element_5,axiom,
    group_element(e_5),
    file('theBenchmark.p',element_5) ).

cnf(c_109,plain,
    group_element(e_5),
    inference(clausify,[status(thm)],[element_5]) ).

fof(element_4,axiom,
    group_element(e_4),
    file('theBenchmark.p',element_4) ).

cnf(c_110,plain,
    group_element(e_4),
    inference(clausify,[status(thm)],[element_4]) ).

fof(element_3,axiom,
    group_element(e_3),
    file('theBenchmark.p',element_3) ).

cnf(c_111,plain,
    group_element(e_3),
    inference(clausify,[status(thm)],[element_3]) ).

fof(element_2,axiom,
    group_element(e_2),
    file('theBenchmark.p',element_2) ).

cnf(c_112,plain,
    group_element(e_2),
    inference(clausify,[status(thm)],[element_2]) ).

fof(element_1,axiom,
    group_element(e_1),
    file('theBenchmark.p',element_1) ).

cnf(c_113,plain,
    group_element(e_1),
    inference(clausify,[status(thm)],[element_1]) ).

fof(cycle6,axiom,
    ! [VAR_0,VAR_1] :
      ( ~ greater(VAR_1,VAR_0)
      | ~ product(VAR_0,e_1,VAR_1)
      | ~ cycle(VAR_0,e_0) ),
    file('theBenchmark.p',cycle6) ).

cnf(c_114,plain,
    ( ~ greater(B,A)
    | ~ product(A,e_1,B)
    | ~ cycle(A,e_0) ),
    inference(clausify,[status(thm)],[cycle6]) ).

fof(cycle5,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
      ( ~ greater(VAR_1,VAR_4)
      | ~ greater(VAR_2,VAR_0)
      | ~ next(VAR_2,VAR_3)
      | ~ cycle(VAR_3,VAR_4)
      | ~ cycle(VAR_2,e_0)
      | ~ cycle(VAR_0,VAR_1) ),
    file('theBenchmark.p',cycle5) ).

cnf(c_115,plain,
    ( ~ greater(B,E)
    | ~ greater(C,A)
    | ~ next(C,D)
    | ~ cycle(D,E)
    | ~ cycle(C,e_0)
    | ~ cycle(A,B) ),
    inference(clausify,[status(thm)],[cycle5]) ).

fof(cycle3,axiom,
    cycle(e_5,e_0),
    file('theBenchmark.p',cycle3) ).

cnf(c_116,plain,
    cycle(e_5,e_0),
    inference(clausify,[status(thm)],[cycle3]) ).

fof(cycle2,axiom,
    ! [VAR_0] :
      ( cycle(VAR_0,e_4)
      | cycle(VAR_0,e_3)
      | cycle(VAR_0,e_2)
      | cycle(VAR_0,e_1)
      | cycle(VAR_0,e_0)
      | ~ group_element(VAR_0) ),
    file('theBenchmark.p',cycle2) ).

cnf(c_117,plain,
    ( cycle(A,e_4)
    | cycle(A,e_3)
    | cycle(A,e_2)
    | cycle(A,e_1)
    | cycle(A,e_0)
    | ~ group_element(A) ),
    inference(clausify,[status(thm)],[cycle2]) ).

fof(e_5_greater_e_3,axiom,
    greater(e_5,e_3),
    file('theBenchmark.p',e_5_greater_e_3) ).

cnf(c_119,plain,
    greater(e_5,e_3),
    inference(clausify,[status(thm)],[e_5_greater_e_3]) ).

fof(e_4_greater_e_3,axiom,
    greater(e_4,e_3),
    file('theBenchmark.p',e_4_greater_e_3) ).

cnf(c_120,plain,
    greater(e_4,e_3),
    inference(clausify,[status(thm)],[e_4_greater_e_3]) ).

fof(e_5_greater_e_2,axiom,
    greater(e_5,e_2),
    file('theBenchmark.p',e_5_greater_e_2) ).

cnf(c_121,plain,
    greater(e_5,e_2),
    inference(clausify,[status(thm)],[e_5_greater_e_2]) ).

fof(e_4_greater_e_2,axiom,
    greater(e_4,e_2),
    file('theBenchmark.p',e_4_greater_e_2) ).

cnf(c_122,plain,
    greater(e_4,e_2),
    inference(clausify,[status(thm)],[e_4_greater_e_2]) ).

fof(e_3_greater_e_2,axiom,
    greater(e_3,e_2),
    file('theBenchmark.p',e_3_greater_e_2) ).

cnf(c_123,plain,
    greater(e_3,e_2),
    inference(clausify,[status(thm)],[e_3_greater_e_2]) ).

fof(e_5_greater_e_1,axiom,
    greater(e_5,e_1),
    file('theBenchmark.p',e_5_greater_e_1) ).

cnf(c_124,plain,
    greater(e_5,e_1),
    inference(clausify,[status(thm)],[e_5_greater_e_1]) ).

fof(e_4_greater_e_1,axiom,
    greater(e_4,e_1),
    file('theBenchmark.p',e_4_greater_e_1) ).

cnf(c_125,plain,
    greater(e_4,e_1),
    inference(clausify,[status(thm)],[e_4_greater_e_1]) ).

fof(e_3_greater_e_1,axiom,
    greater(e_3,e_1),
    file('theBenchmark.p',e_3_greater_e_1) ).

cnf(c_126,plain,
    greater(e_3,e_1),
    inference(clausify,[status(thm)],[e_3_greater_e_1]) ).

fof(e_2_greater_e_1,axiom,
    greater(e_2,e_1),
    file('theBenchmark.p',e_2_greater_e_1) ).

cnf(c_127,plain,
    greater(e_2,e_1),
    inference(clausify,[status(thm)],[e_2_greater_e_1]) ).

fof(e_4_greater_e_0,axiom,
    greater(e_4,e_0),
    file('theBenchmark.p',e_4_greater_e_0) ).

cnf(c_129,plain,
    greater(e_4,e_0),
    inference(clausify,[status(thm)],[e_4_greater_e_0]) ).

fof(e_3_greater_e_0,axiom,
    greater(e_3,e_0),
    file('theBenchmark.p',e_3_greater_e_0) ).

cnf(c_130,plain,
    greater(e_3,e_0),
    inference(clausify,[status(thm)],[e_3_greater_e_0]) ).

fof(e_2_greater_e_0,axiom,
    greater(e_2,e_0),
    file('theBenchmark.p',e_2_greater_e_0) ).

cnf(c_131,plain,
    greater(e_2,e_0),
    inference(clausify,[status(thm)],[e_2_greater_e_0]) ).

fof(e_1_greater_e_0,axiom,
    greater(e_1,e_0),
    file('theBenchmark.p',e_1_greater_e_0) ).

cnf(c_132,plain,
    greater(e_1,e_0),
    inference(clausify,[status(thm)],[e_1_greater_e_0]) ).

fof(e_4_then_e_5,axiom,
    next(e_4,e_5),
    file('theBenchmark.p',e_4_then_e_5) ).

cnf(c_133,plain,
    next(e_4,e_5),
    inference(clausify,[status(thm)],[e_4_then_e_5]) ).

fof(e_3_then_e_4,axiom,
    next(e_3,e_4),
    file('theBenchmark.p',e_3_then_e_4) ).

cnf(c_134,plain,
    next(e_3,e_4),
    inference(clausify,[status(thm)],[e_3_then_e_4]) ).

fof(e_2_then_e_3,axiom,
    next(e_2,e_3),
    file('theBenchmark.p',e_2_then_e_3) ).

cnf(c_135,plain,
    next(e_2,e_3),
    inference(clausify,[status(thm)],[e_2_then_e_3]) ).

fof(e_1_then_e_2,axiom,
    next(e_1,e_2),
    file('theBenchmark.p',e_1_then_e_2) ).

cnf(c_136,plain,
    next(e_1,e_2),
    inference(clausify,[status(thm)],[e_1_then_e_2]) ).

fof(e_0_then_e_1,axiom,
    next(e_0,e_1),
    file('theBenchmark.p',e_0_then_e_1) ).

cnf(c_137,plain,
    next(e_0,e_1),
    inference(clausify,[status(thm)],[e_0_then_e_1]) ).

cnf(c_19894,plain,
    ( ~ greater(e_4,e_0)
    | ~ next(A,e_3)
    | ~ cycle(e_3,A)
    | ~ cycle(A,e_4) ),
    inference(factor,[status(thm)],[c_68]) ).

cnf(c_148,plain,
    ( ~ next(A,e_3)
    | ~ cycle(e_3,A)
    | ~ cycle(A,e_4) ),
    inference(resolve,[status(thm)],[c_129,c_19894]) ).

cnf(c_19895,plain,
    ( ~ greater(e_4,e_0)
    | ~ next(A,e_2)
    | ~ cycle(e_2,A)
    | ~ cycle(A,e_4) ),
    inference(factor,[status(thm)],[c_70]) ).

cnf(c_149,plain,
    ( ~ next(A,e_2)
    | ~ cycle(e_2,A)
    | ~ cycle(A,e_4) ),
    inference(resolve,[status(thm)],[c_129,c_19895]) ).

cnf(c_19896,plain,
    ( ~ greater(e_3,e_0)
    | ~ next(A,e_2)
    | ~ cycle(e_2,A)
    | ~ cycle(A,e_3) ),
    inference(factor,[status(thm)],[c_80]) ).

cnf(c_155,plain,
    ( ~ next(A,e_2)
    | ~ cycle(e_2,A)
    | ~ cycle(A,e_3) ),
    inference(resolve,[status(thm)],[c_130,c_19896]) ).

cnf(c_19897,plain,
    ( ~ greater(e_2,e_0)
    | ~ next(A,e_3)
    | ~ cycle(e_3,A)
    | ~ cycle(A,e_2) ),
    inference(factor,[status(thm)],[c_91]) ).

cnf(c_162,plain,
    ( ~ next(A,e_3)
    | ~ cycle(e_3,A)
    | ~ cycle(A,e_2) ),
    inference(resolve,[status(thm)],[c_131,c_19897]) ).

cnf(c_19898,plain,
    ( ~ greater(e_1,e_0)
    | ~ next(A,e_3)
    | ~ cycle(e_3,A)
    | ~ cycle(A,e_1) ),
    inference(factor,[status(thm)],[c_102]) ).

cnf(c_169,plain,
    ( ~ next(A,e_3)
    | ~ cycle(e_3,A)
    | ~ cycle(A,e_1) ),
    inference(resolve,[status(thm)],[c_132,c_19898]) ).

cnf(c_19899,plain,
    ( ~ greater(e_1,e_0)
    | ~ next(A,e_2)
    | ~ cycle(e_2,A)
    | ~ cycle(A,e_1) ),
    inference(factor,[status(thm)],[c_105]) ).

cnf(c_171,plain,
    ( ~ next(A,e_2)
    | ~ cycle(e_2,A)
    | ~ cycle(A,e_1) ),
    inference(resolve,[status(thm)],[c_132,c_19899]) ).

cnf(c_172,plain,
    ( product(A,A,A)
    | ~ product(A,B,A) ),
    inference(factor,[status(thm)],[c_107]) ).

cnf(c_173,plain,
    ( product(A,A,e_5)
    | product(A,A,e_4)
    | product(A,A,e_3)
    | product(A,A,e_2)
    | product(A,A,e_1)
    | ~ group_element(A) ),
    inference(factor,[status(thm)],[c_108]) ).

cnf(c_182,plain,
    ( ~ next(C,e_1)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_4) ),
    inference(resolve,[status(thm)],[c_129,c_72]) ).

cnf(c_183,plain,
    ( ~ next(C,e_2)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_4) ),
    inference(resolve,[status(thm)],[c_129,c_70]) ).

cnf(c_186,plain,
    ( ~ next(C,e_1)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_3) ),
    inference(resolve,[status(thm)],[c_130,c_82]) ).

cnf(c_187,plain,
    ( ~ next(C,e_2)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_3) ),
    inference(resolve,[status(thm)],[c_130,c_80]) ).

cnf(c_190,plain,
    ( ~ next(C,e_1)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_2) ),
    inference(resolve,[status(thm)],[c_131,c_93]) ).

cnf(c_194,plain,
    ( ~ next(C,e_2)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_1) ),
    inference(resolve,[status(thm)],[c_132,c_105]) ).

cnf(c_196,plain,
    ( ~ next(C,e_4)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_1) ),
    inference(resolve,[status(thm)],[c_132,c_99]) ).

cnf(c_197,plain,
    ( ~ next(C,e_5)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_1) ),
    inference(resolve,[status(thm)],[c_132,c_96]) ).

cnf(c_203,plain,
    ( product(A,e_5,e_5)
    | product(A,e_5,e_4)
    | product(A,e_5,e_3)
    | product(A,e_5,e_2)
    | product(A,e_5,e_1)
    | ~ group_element(A) ),
    inference(resolve,[status(thm)],[c_109,c_108]) ).

cnf(c_206,plain,
    ( product(e_4,A,e_5)
    | product(e_4,A,e_4)
    | product(e_4,A,e_3)
    | product(e_4,A,e_2)
    | product(e_4,A,e_1)
    | ~ group_element(A) ),
    inference(resolve,[status(thm)],[c_110,c_108]) ).

cnf(c_208,plain,
    ( product(e_3,A,e_5)
    | product(e_3,A,e_4)
    | product(e_3,A,e_3)
    | product(e_3,A,e_2)
    | product(e_3,A,e_1)
    | ~ group_element(A) ),
    inference(resolve,[status(thm)],[c_111,c_108]) ).

cnf(c_210,plain,
    ( product(e_2,A,e_5)
    | product(e_2,A,e_4)
    | product(e_2,A,e_3)
    | product(e_2,A,e_2)
    | product(e_2,A,e_1)
    | ~ group_element(A) ),
    inference(resolve,[status(thm)],[c_112,c_108]) ).

cnf(c_213,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | cycle(e_1,e_0) ),
    inference(resolve,[status(thm)],[c_117,c_113]) ).

cnf(c_214,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_2,e_0) ),
    inference(resolve,[status(thm)],[c_117,c_112]) ).

cnf(c_215,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_3,e_0) ),
    inference(resolve,[status(thm)],[c_117,c_111]) ).

cnf(c_216,plain,
    ( cycle(e_4,e_4)
    | cycle(e_4,e_3)
    | cycle(e_4,e_2)
    | cycle(e_4,e_1)
    | cycle(e_4,e_0) ),
    inference(resolve,[status(thm)],[c_117,c_110]) ).

cnf(c_217,plain,
    ( ~ greater(B,C)
    | ~ greater(e_4,A)
    | ~ cycle(e_5,C)
    | ~ cycle(e_4,e_0)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_133,c_115]) ).

cnf(c_221,plain,
    ( ~ greater(B,C)
    | ~ greater(e_3,A)
    | ~ cycle(e_4,C)
    | ~ cycle(e_3,e_0)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_134,c_115]) ).

cnf(c_243,plain,
    ( ~ cycle(e_3,e_2)
    | ~ cycle(e_2,e_4) ),
    inference(resolve,[status(thm)],[c_148,c_135]) ).

cnf(c_244,plain,
    ( ~ cycle(e_2,e_1)
    | ~ cycle(e_1,e_4) ),
    inference(resolve,[status(thm)],[c_149,c_136]) ).

cnf(c_248,plain,
    ( ~ cycle(e_2,e_1)
    | ~ cycle(e_1,e_3) ),
    inference(resolve,[status(thm)],[c_155,c_136]) ).

cnf(c_252,plain,
    ( ~ cycle(e_3,e_2)
    | ~ cycle(e_2,e_2) ),
    inference(resolve,[status(thm)],[c_162,c_135]) ).

cnf(c_256,plain,
    ( ~ cycle(e_3,e_2)
    | ~ cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_169,c_135]) ).

cnf(c_257,plain,
    ( ~ cycle(e_2,e_1)
    | ~ cycle(e_1,e_1) ),
    inference(resolve,[status(thm)],[c_171,c_136]) ).

cnf(c_258,plain,
    ( product(e_1,e_1,e_5)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_173,c_113]) ).

cnf(c_262,plain,
    ( product(e_5,e_5,e_5)
    | product(e_5,e_5,e_4)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_173,c_109]) ).

cnf(c_289,plain,
    ( ~ next(A,e_1)
    | ~ cycle(e_3,A)
    | ~ cycle(e_2,e_4) ),
    inference(resolve,[status(thm)],[c_182,c_135]) ).

cnf(c_291,plain,
    ( ~ next(A,e_1)
    | ~ cycle(e_5,A)
    | ~ cycle(e_4,e_4) ),
    inference(resolve,[status(thm)],[c_182,c_133]) ).

cnf(c_296,plain,
    ( ~ next(A,e_2)
    | ~ cycle(e_4,A)
    | ~ cycle(e_3,e_4) ),
    inference(resolve,[status(thm)],[c_183,c_134]) ).

cnf(c_315,plain,
    ( ~ next(A,e_1)
    | ~ cycle(e_5,A)
    | ~ cycle(e_4,e_3) ),
    inference(resolve,[status(thm)],[c_186,c_133]) ).

cnf(c_320,plain,
    ( ~ next(A,e_2)
    | ~ cycle(e_4,A)
    | ~ cycle(e_3,e_3) ),
    inference(resolve,[status(thm)],[c_187,c_134]) ).

cnf(c_337,plain,
    ( ~ next(A,e_1)
    | ~ cycle(e_3,A)
    | ~ cycle(e_2,e_2) ),
    inference(resolve,[status(thm)],[c_190,c_135]) ).

cnf(c_339,plain,
    ( ~ next(A,e_1)
    | ~ cycle(e_5,A)
    | ~ cycle(e_4,e_2) ),
    inference(resolve,[status(thm)],[c_190,c_133]) ).

cnf(c_361,plain,
    ( ~ next(A,e_2)
    | ~ cycle(e_3,A)
    | ~ cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_194,c_135]) ).

cnf(c_362,plain,
    ( ~ next(A,e_2)
    | ~ cycle(e_4,A)
    | ~ cycle(e_3,e_1) ),
    inference(resolve,[status(thm)],[c_194,c_134]) ).

cnf(c_373,plain,
    ( ~ next(A,e_4)
    | ~ cycle(e_3,A)
    | ~ cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_196,c_135]) ).

cnf(c_379,plain,
    ( ~ next(A,e_5)
    | ~ cycle(e_3,A)
    | ~ cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_197,c_135]) ).

cnf(c_19900,plain,
    ( ~ greater(e_5,e_1)
    | ~ cycle(e_1,e_0)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_258,c_114]) ).

cnf(c_383,plain,
    ( ~ cycle(e_1,e_0)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_124,c_19900]) ).

cnf(c_384,plain,
    ( product(A,e_1,e_5)
    | ~ product(A,e_1,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_258,c_107]) ).

cnf(c_388,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_383,c_213]) ).

cnf(c_411,plain,
    ( ~ product(e_4,e_5,e_5)
    | product(e_5,e_5,e_4)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_262,c_36]) ).

cnf(c_412,plain,
    ( ~ product(e_3,e_5,e_5)
    | product(e_5,e_5,e_4)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_262,c_35]) ).

cnf(c_413,plain,
    ( ~ product(e_2,e_5,e_5)
    | product(e_5,e_5,e_4)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_262,c_34]) ).

cnf(c_414,plain,
    ( ~ product(e_1,e_5,e_5)
    | product(e_5,e_5,e_4)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_262,c_33]) ).

cnf(c_431,plain,
    ( product(e_1,e_5,e_5)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_203,c_113]) ).

cnf(c_432,plain,
    ( product(e_2,e_5,e_5)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_203,c_112]) ).

cnf(c_433,plain,
    ( product(e_3,e_5,e_5)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_203,c_111]) ).

cnf(c_434,plain,
    ( product(e_4,e_5,e_5)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_203,c_110]) ).

cnf(c_435,plain,
    ( product(e_5,e_5,e_4)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_431,c_414]) ).

cnf(c_437,plain,
    ( product(e_1,e_5,A)
    | ~ product(e_5,e_5,A)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_431,c_107]) ).

cnf(c_442,plain,
    ( ~ product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(factor,[status(thm)],[c_437]) ).

cnf(c_443,plain,
    ( ~ product(e_5,e_5,e_2)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(factor,[status(thm)],[c_437]) ).

cnf(c_444,plain,
    ( ~ product(e_5,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(factor,[status(thm)],[c_437]) ).

cnf(c_445,plain,
    ( ~ product(e_5,e_5,e_4)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(factor,[status(thm)],[c_437]) ).

cnf(c_446,plain,
    ( product(e_5,e_5,e_4)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_432,c_413]) ).

cnf(c_448,plain,
    ( product(e_2,e_5,A)
    | ~ product(e_5,e_5,A)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_432,c_107]) ).

cnf(c_454,plain,
    ( ~ product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(factor,[status(thm)],[c_448]) ).

cnf(c_455,plain,
    ( ~ product(e_5,e_5,e_2)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(factor,[status(thm)],[c_448]) ).

cnf(c_456,plain,
    ( ~ product(e_5,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(factor,[status(thm)],[c_448]) ).

cnf(c_457,plain,
    ( ~ product(e_5,e_5,e_4)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(factor,[status(thm)],[c_448]) ).

cnf(c_460,plain,
    ( product(e_5,e_5,e_4)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_433,c_412]) ).

cnf(c_462,plain,
    ( product(e_3,e_5,A)
    | ~ product(e_5,e_5,A)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_433,c_107]) ).

cnf(c_469,plain,
    ( ~ product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(factor,[status(thm)],[c_462]) ).

cnf(c_470,plain,
    ( ~ product(e_5,e_5,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(factor,[status(thm)],[c_462]) ).

cnf(c_471,plain,
    ( ~ product(e_5,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(factor,[status(thm)],[c_462]) ).

cnf(c_472,plain,
    ( ~ product(e_5,e_5,e_4)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(factor,[status(thm)],[c_462]) ).

cnf(c_473,plain,
    ( product(e_5,e_5,e_4)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_434,c_411]) ).

cnf(c_475,plain,
    ( product(e_4,e_5,A)
    | ~ product(e_5,e_5,A)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_434,c_107]) ).

cnf(c_483,plain,
    ( ~ product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(factor,[status(thm)],[c_475]) ).

cnf(c_484,plain,
    ( ~ product(e_5,e_5,e_2)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(factor,[status(thm)],[c_475]) ).

cnf(c_485,plain,
    ( ~ product(e_5,e_5,e_3)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(factor,[status(thm)],[c_475]) ).

cnf(c_486,plain,
    ( ~ product(e_5,e_5,e_4)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(factor,[status(thm)],[c_475]) ).

cnf(c_487,plain,
    ( ~ cycle(e_3,e_0)
    | ~ cycle(e_2,e_4) ),
    inference(resolve,[status(thm)],[c_289,c_137]) ).

cnf(c_488,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | ~ cycle(e_2,e_4) ),
    inference(resolve,[status(thm)],[c_487,c_215]) ).

cnf(c_19901,plain,
    ( ~ cycle(e_5,e_0)
    | ~ cycle(e_4,e_4) ),
    inference(resolve,[status(thm)],[c_291,c_137]) ).

cnf(c_491,plain,
    ~ cycle(e_4,e_4),
    inference(resolve,[status(thm)],[c_116,c_19901]) ).

cnf(c_494,plain,
    ( cycle(e_4,e_3)
    | cycle(e_4,e_2)
    | cycle(e_4,e_1)
    | cycle(e_4,e_0) ),
    inference(resolve,[status(thm)],[c_491,c_216]) ).

cnf(c_498,plain,
    ( ~ cycle(e_4,e_1)
    | ~ cycle(e_3,e_4) ),
    inference(resolve,[status(thm)],[c_296,c_136]) ).

cnf(c_19902,plain,
    ( ~ cycle(e_5,e_0)
    | ~ cycle(e_4,e_3) ),
    inference(resolve,[status(thm)],[c_315,c_137]) ).

cnf(c_514,plain,
    ~ cycle(e_4,e_3),
    inference(resolve,[status(thm)],[c_116,c_19902]) ).

cnf(c_516,plain,
    ( cycle(e_4,e_2)
    | cycle(e_4,e_1)
    | cycle(e_4,e_0) ),
    inference(resolve,[status(thm)],[c_514,c_494]) ).

cnf(c_521,plain,
    ( ~ cycle(e_4,e_1)
    | ~ cycle(e_3,e_3) ),
    inference(resolve,[status(thm)],[c_320,c_136]) ).

cnf(c_536,plain,
    ( ~ cycle(e_3,e_0)
    | ~ cycle(e_2,e_2) ),
    inference(resolve,[status(thm)],[c_337,c_137]) ).

cnf(c_537,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | ~ cycle(e_2,e_2) ),
    inference(resolve,[status(thm)],[c_536,c_215]) ).

cnf(c_19903,plain,
    ( ~ cycle(e_5,e_0)
    | ~ cycle(e_4,e_2) ),
    inference(resolve,[status(thm)],[c_339,c_137]) ).

cnf(c_540,plain,
    ~ cycle(e_4,e_2),
    inference(resolve,[status(thm)],[c_116,c_19903]) ).

cnf(c_544,plain,
    ( cycle(e_4,e_1)
    | cycle(e_4,e_0) ),
    inference(resolve,[status(thm)],[c_540,c_516]) ).

cnf(c_627,plain,
    ( ~ cycle(e_3,e_1)
    | ~ cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_361,c_136]) ).

cnf(c_628,plain,
    ( ~ cycle(e_4,e_1)
    | ~ cycle(e_3,e_1) ),
    inference(resolve,[status(thm)],[c_362,c_136]) ).

cnf(c_659,plain,
    ( ~ cycle(e_3,e_3)
    | ~ cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_373,c_134]) ).

cnf(c_666,plain,
    ( ~ cycle(e_3,e_4)
    | ~ cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_379,c_133]) ).

cnf(c_705,plain,
    ( ~ greater(B,e_0)
    | ~ greater(e_4,A)
    | ~ cycle(e_4,e_0)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_217,c_116]) ).

cnf(c_710,plain,
    ( cycle(e_4,e_1)
    | ~ greater(B,e_0)
    | ~ greater(e_4,A)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_705,c_544]) ).

cnf(c_715,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | ~ greater(B,C)
    | ~ greater(e_3,A)
    | ~ cycle(e_4,C)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_221,c_215]) ).

cnf(c_853,plain,
    ( product(e_4,e_1,e_5)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_206,c_113]) ).

cnf(c_854,plain,
    ( product(e_4,e_2,e_5)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1) ),
    inference(resolve,[status(thm)],[c_206,c_112]) ).

cnf(c_855,plain,
    ( product(e_4,e_3,e_5)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_206,c_111]) ).

cnf(c_867,plain,
    ( ~ product(e_3,e_1,e_5)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_853,c_32]) ).

cnf(c_869,plain,
    ( ~ product(e_1,e_1,e_5)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_853,c_30]) ).

cnf(c_911,plain,
    ( product(A,e_4,e_5)
    | ~ product(A,e_2,e_4)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1) ),
    inference(resolve,[status(thm)],[c_854,c_107]) ).

cnf(c_921,plain,
    ( product(A,e_4,e_5)
    | ~ product(A,e_3,e_4)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_855,c_107]) ).

cnf(c_928,plain,
    ( product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_869,c_258]) ).

cnf(c_958,plain,
    ( product(e_3,e_1,e_5)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_208,c_113]) ).

cnf(c_961,plain,
    ( product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_958,c_867]) ).

cnf(c_19904,plain,
    ( ~ greater(e_5,e_3)
    | ~ cycle(e_3,e_0)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_958,c_114]) ).

cnf(c_966,plain,
    ( ~ cycle(e_3,e_0)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_119,c_19904]) ).

cnf(c_975,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_966,c_215]) ).

cnf(c_1001,plain,
    ( product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_210,c_113]) ).

cnf(c_19905,plain,
    ( ~ greater(e_5,e_2)
    | ~ cycle(e_2,e_0)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1001,c_114]) ).

cnf(c_1009,plain,
    ( ~ cycle(e_2,e_0)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_121,c_19905]) ).

cnf(c_19906,plain,
    ( ~ next(e_2,e_3)
    | ~ greater(A,e_0)
    | ~ cycle(e_2,A)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1001,c_60]) ).

cnf(c_1014,plain,
    ( ~ greater(A,e_0)
    | ~ cycle(e_2,A)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_135,c_19906]) ).

cnf(c_1016,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1009,c_214]) ).

cnf(c_19907,plain,
    ( ~ greater(e_4,e_1)
    | ~ cycle(e_1,e_0)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_388,c_114]) ).

cnf(c_1128,plain,
    ( ~ cycle(e_1,e_0)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_125,c_19907]) ).

cnf(c_19908,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1128,c_213]) ).

cnf(c_19909,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19908]) ).

cnf(c_19910,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19909]) ).

cnf(c_19911,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19910]) ).

cnf(c_1133,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19911]) ).

cnf(c_19912,plain,
    ( ~ greater(e_3,e_1)
    | ~ cycle(e_1,e_0)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1133,c_114]) ).

cnf(c_1136,plain,
    ( ~ cycle(e_1,e_0)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_126,c_19912]) ).

cnf(c_19913,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1136,c_213]) ).

cnf(c_19914,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19913]) ).

cnf(c_19915,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19914]) ).

cnf(c_19916,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19915]) ).

cnf(c_1141,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19916]) ).

cnf(c_19917,plain,
    ( ~ greater(e_2,e_1)
    | ~ cycle(e_1,e_0)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1141,c_114]) ).

cnf(c_1143,plain,
    ( ~ cycle(e_1,e_0)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_127,c_19917]) ).

cnf(c_19918,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1143,c_213]) ).

cnf(c_19919,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19918]) ).

cnf(c_19920,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19919]) ).

cnf(c_19921,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19920]) ).

cnf(c_1150,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | cycle(e_1,e_1)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19921]) ).

cnf(c_19922,plain,
    ( ~ greater(e_4,e_3)
    | ~ cycle(e_3,e_0)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_975,c_114]) ).

cnf(c_1159,plain,
    ( ~ cycle(e_3,e_0)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_120,c_19922]) ).

cnf(c_19923,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1159,c_215]) ).

cnf(c_19924,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19923]) ).

cnf(c_19925,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19924]) ).

cnf(c_19926,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19925]) ).

cnf(c_1168,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19926]) ).

cnf(c_1170,plain,
    ( product(e_3,e_3,e_3)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1168,c_172]) ).

cnf(c_1184,plain,
    ( ~ product(e_3,e_1,e_3)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1170,c_38]) ).

cnf(c_19927,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1184,c_1168]) ).

cnf(c_19928,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_2)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19927]) ).

cnf(c_19929,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19928]) ).

cnf(c_19930,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19929]) ).

cnf(c_19931,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19930]) ).

cnf(c_19932,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19931]) ).

cnf(c_1187,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19932]) ).

cnf(c_1191,plain,
    ( product(A,e_3,e_2)
    | ~ product(A,e_1,e_3)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1187,c_107]) ).

cnf(c_1196,plain,
    ( ~ product(e_2,e_1,e_2)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1187,c_29]) ).

cnf(c_19933,plain,
    ( ~ greater(e_4,e_2)
    | ~ cycle(e_2,e_0)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1016,c_114]) ).

cnf(c_1204,plain,
    ( ~ cycle(e_2,e_0)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_122,c_19933]) ).

cnf(c_19934,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1204,c_214]) ).

cnf(c_19935,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19934]) ).

cnf(c_19936,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19935]) ).

cnf(c_19937,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19936]) ).

cnf(c_1211,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19937]) ).

cnf(c_19938,plain,
    ( ~ greater(e_3,e_2)
    | ~ cycle(e_2,e_0)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1211,c_114]) ).

cnf(c_1216,plain,
    ( ~ cycle(e_2,e_0)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_123,c_19938]) ).

cnf(c_19939,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1216,c_214]) ).

cnf(c_19940,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19939]) ).

cnf(c_19941,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19940]) ).

cnf(c_19942,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19941]) ).

cnf(c_1224,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19942]) ).

cnf(c_1226,plain,
    ( product(e_2,e_2,e_2)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1224,c_172]) ).

cnf(c_1234,plain,
    ( ~ product(e_2,e_1,e_2)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1226,c_37]) ).

cnf(c_19943,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_1234,c_1224]) ).

cnf(c_19944,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19943]) ).

cnf(c_19945,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19944]) ).

cnf(c_19946,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19945]) ).

cnf(c_19947,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19946]) ).

cnf(c_1236,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_19947]) ).

cnf(c_1238,plain,
    ( product(e_2,e_1,e_5)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_1236,c_384]) ).

cnf(c_1240,plain,
    ( product(A,e_2,e_1)
    | ~ product(A,e_1,e_2)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_1236,c_107]) ).

cnf(c_1241,plain,
    ( product(e_2,e_1,A)
    | ~ product(e_1,e_1,A)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_1236,c_107]) ).

cnf(c_1244,plain,
    ( ~ product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_1236,c_27]) ).

cnf(c_19948,plain,
    ( product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_435,c_445]) ).

cnf(c_19949,plain,
    ( product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19948]) ).

cnf(c_19950,plain,
    ( product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19949]) ).

cnf(c_19951,plain,
    ( product(e_1,e_5,e_4)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19950]) ).

cnf(c_1412,plain,
    ( product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19951]) ).

cnf(c_19952,plain,
    ( product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1412,c_444]) ).

cnf(c_19953,plain,
    ( product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19952]) ).

cnf(c_19954,plain,
    ( product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19953]) ).

cnf(c_19955,plain,
    ( product(e_1,e_5,e_4)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19954]) ).

cnf(c_1413,plain,
    ( product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19955]) ).

cnf(c_19956,plain,
    ( product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1413,c_443]) ).

cnf(c_19957,plain,
    ( product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19956]) ).

cnf(c_19958,plain,
    ( product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19957]) ).

cnf(c_19959,plain,
    ( product(e_1,e_5,e_4)
    | product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19958]) ).

cnf(c_1414,plain,
    ( product(e_5,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19959]) ).

cnf(c_19960,plain,
    ( product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1414,c_442]) ).

cnf(c_19961,plain,
    ( product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19960]) ).

cnf(c_19962,plain,
    ( product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19961]) ).

cnf(c_19963,plain,
    ( product(e_1,e_5,e_4)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19962]) ).

cnf(c_1415,plain,
    ( product(e_1,e_5,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19963]) ).

cnf(c_1417,plain,
    ( product(A,e_1,e_4)
    | ~ product(A,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1415,c_107]) ).

cnf(c_1418,plain,
    ( product(e_1,e_4,A)
    | ~ product(e_4,e_5,A)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1415,c_107]) ).

cnf(c_1421,plain,
    ( ~ product(e_1,e_2,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1415,c_44]) ).

cnf(c_19964,plain,
    ( product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_446,c_457]) ).

cnf(c_19965,plain,
    ( product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19964]) ).

cnf(c_19966,plain,
    ( product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19965]) ).

cnf(c_19967,plain,
    ( product(e_2,e_5,e_4)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19966]) ).

cnf(c_1423,plain,
    ( product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19967]) ).

cnf(c_19968,plain,
    ( product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1423,c_456]) ).

cnf(c_19969,plain,
    ( product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19968]) ).

cnf(c_19970,plain,
    ( product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19969]) ).

cnf(c_19971,plain,
    ( product(e_2,e_5,e_4)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19970]) ).

cnf(c_1424,plain,
    ( product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19971]) ).

cnf(c_19972,plain,
    ( product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1424,c_455]) ).

cnf(c_19973,plain,
    ( product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19972]) ).

cnf(c_19974,plain,
    ( product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19973]) ).

cnf(c_19975,plain,
    ( product(e_2,e_5,e_4)
    | product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19974]) ).

cnf(c_1425,plain,
    ( product(e_5,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19975]) ).

cnf(c_19976,plain,
    ( product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1425,c_454]) ).

cnf(c_19977,plain,
    ( product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19976]) ).

cnf(c_19978,plain,
    ( product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19977]) ).

cnf(c_19979,plain,
    ( product(e_2,e_5,e_4)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19978]) ).

cnf(c_1427,plain,
    ( product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19979]) ).

cnf(c_1432,plain,
    ( ~ product(e_2,e_3,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1427,c_45]) ).

cnf(c_1435,plain,
    ( ~ product(e_1,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1427,c_27]) ).

cnf(c_1436,plain,
    ( product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1435,c_1415]) ).

cnf(c_1438,plain,
    ( product(A,e_2,e_3)
    | ~ product(A,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1436,c_107]) ).

cnf(c_1439,plain,
    ( product(e_2,e_3,A)
    | ~ product(e_3,e_5,A)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1436,c_107]) ).

cnf(c_19980,plain,
    ( product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_460,c_472]) ).

cnf(c_19981,plain,
    ( product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19980]) ).

cnf(c_19982,plain,
    ( product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19981]) ).

cnf(c_19983,plain,
    ( product(e_3,e_5,e_4)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19982]) ).

cnf(c_1444,plain,
    ( product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19983]) ).

cnf(c_19984,plain,
    ( product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1444,c_471]) ).

cnf(c_19985,plain,
    ( product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19984]) ).

cnf(c_19986,plain,
    ( product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19985]) ).

cnf(c_19987,plain,
    ( product(e_3,e_5,e_4)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19986]) ).

cnf(c_1445,plain,
    ( product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19987]) ).

cnf(c_19988,plain,
    ( product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1445,c_470]) ).

cnf(c_19989,plain,
    ( product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19988]) ).

cnf(c_19990,plain,
    ( product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19989]) ).

cnf(c_19991,plain,
    ( product(e_3,e_5,e_4)
    | product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19990]) ).

cnf(c_1448,plain,
    ( product(e_5,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19991]) ).

cnf(c_19992,plain,
    ( product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1448,c_469]) ).

cnf(c_19993,plain,
    ( product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19992]) ).

cnf(c_19994,plain,
    ( product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19993]) ).

cnf(c_19995,plain,
    ( product(e_3,e_5,e_4)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19994]) ).

cnf(c_1450,plain,
    ( product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19995]) ).

cnf(c_1453,plain,
    ( product(A,e_3,e_4)
    | ~ product(A,e_5,e_3)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1450,c_107]) ).

cnf(c_1460,plain,
    ( ~ product(e_1,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1450,c_28]) ).

cnf(c_1462,plain,
    ( product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1460,c_1415]) ).

cnf(c_1472,plain,
    ( product(e_3,e_3,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1462,c_172]) ).

cnf(c_1476,plain,
    ( ~ product(e_3,e_3,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1462,c_45]) ).

cnf(c_1479,plain,
    ( ~ product(e_2,e_5,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1462,c_29]) ).

cnf(c_19996,plain,
    ( product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1479,c_1436]) ).

cnf(c_19997,plain,
    ( product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19996]) ).

cnf(c_19998,plain,
    ( product(e_1,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19997]) ).

cnf(c_1497,plain,
    ( product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19998]) ).

cnf(c_19999,plain,
    ( product(e_3,e_2,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1497,c_1438]) ).

cnf(c_20000,plain,
    ( product(e_3,e_2,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_19999]) ).

cnf(c_20001,plain,
    ( product(e_3,e_2,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20000]) ).

cnf(c_20002,plain,
    ( product(e_3,e_2,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20001]) ).

cnf(c_20003,plain,
    ( product(e_3,e_2,e_3)
    | product(e_1,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20002]) ).

cnf(c_1508,plain,
    ( product(e_3,e_2,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20003]) ).

cnf(c_20004,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_3,e_2,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1508,c_1439]) ).

cnf(c_20005,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20004]) ).

cnf(c_20006,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_2,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20005]) ).

cnf(c_20007,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20006]) ).

cnf(c_20008,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_5,e_3)
    | product(e_3,e_2,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20007]) ).

cnf(c_1523,plain,
    ( product(e_2,e_3,e_1)
    | product(e_3,e_2,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20008]) ).

cnf(c_20009,plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_2,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1508,c_1417]) ).

cnf(c_20010,plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20009]) ).

cnf(c_20011,plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_3,e_2,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20010]) ).

cnf(c_1524,plain,
    ( product(e_3,e_1,e_4)
    | product(e_3,e_2,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20011]) ).

cnf(c_1555,plain,
    ( product(e_3,e_3,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1523,c_172]) ).

cnf(c_1563,plain,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_1,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1524,c_172]) ).

cnf(c_1581,plain,
    ( ~ product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1555,c_39]) ).

cnf(c_1587,plain,
    ( ~ product(e_3,e_2,e_3)
    | product(e_3,e_1,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1563,c_39]) ).

cnf(c_20012,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1581,c_1523]) ).

cnf(c_20013,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20012]) ).

cnf(c_20014,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20013]) ).

cnf(c_20015,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20014]) ).

cnf(c_20016,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20015]) ).

cnf(c_20017,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20016]) ).

cnf(c_1604,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20017]) ).

cnf(c_20018,plain,
    ( product(e_3,e_1,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1587,c_1524]) ).

cnf(c_20019,plain,
    ( product(e_3,e_1,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_3,e_1,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20018]) ).

cnf(c_20020,plain,
    ( product(e_3,e_1,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_3,e_1,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20019]) ).

cnf(c_20021,plain,
    ( product(e_3,e_1,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20020]) ).

cnf(c_20022,plain,
    ( product(e_3,e_1,e_4)
    | product(e_2,e_5,e_2)
    | product(e_3,e_1,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20021]) ).

cnf(c_20023,plain,
    ( product(e_3,e_1,e_4)
    | product(e_3,e_1,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20022]) ).

cnf(c_1620,plain,
    ( product(e_3,e_1,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20023]) ).

cnf(c_20024,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_473,c_486]) ).

cnf(c_20025,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20024]) ).

cnf(c_20026,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20025]) ).

cnf(c_20027,plain,
    ( product(e_4,e_5,e_4)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20026]) ).

cnf(c_1655,plain,
    ( product(e_5,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20027]) ).

cnf(c_20028,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1655,c_485]) ).

cnf(c_20029,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20028]) ).

cnf(c_20030,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20029]) ).

cnf(c_20031,plain,
    ( product(e_4,e_5,e_4)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20030]) ).

cnf(c_1662,plain,
    ( product(e_5,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20031]) ).

cnf(c_20032,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1662,c_484]) ).

cnf(c_20033,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20032]) ).

cnf(c_20034,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20033]) ).

cnf(c_20035,plain,
    ( product(e_4,e_5,e_4)
    | product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20034]) ).

cnf(c_1667,plain,
    ( product(e_5,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20035]) ).

cnf(c_20036,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1667,c_483]) ).

cnf(c_20037,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20036]) ).

cnf(c_20038,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20037]) ).

cnf(c_20039,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20038]) ).

cnf(c_1669,plain,
    ( product(e_4,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20039]) ).

cnf(c_1682,plain,
    ( ~ product(e_1,e_5,e_4)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1669,c_30]) ).

cnf(c_1703,plain,
    ( product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1682,c_1415]) ).

cnf(c_20040,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1703,c_1418]) ).

cnf(c_20041,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20040]) ).

cnf(c_20042,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20041]) ).

cnf(c_1753,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20042]) ).

cnf(c_1761,plain,
    ( ~ product(e_2,e_5,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1703,c_31]) ).

cnf(c_1798,plain,
    ( product(e_4,e_2,A)
    | ~ product(e_2,e_5,A)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1753,c_107]) ).

cnf(c_1803,plain,
    ( ~ product(e_3,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1753,c_32]) ).

cnf(c_1804,plain,
    ( ~ product(e_2,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1753,c_31]) ).

cnf(c_20043,plain,
    ( product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1761,c_1436]) ).

cnf(c_20044,plain,
    ( product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20043]) ).

cnf(c_20045,plain,
    ( product(e_1,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20044]) ).

cnf(c_1807,plain,
    ( product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20045]) ).

cnf(c_20046,plain,
    ( product(e_3,e_3,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1803,c_1472]) ).

cnf(c_20047,plain,
    ( product(e_3,e_3,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20046]) ).

cnf(c_20048,plain,
    ( product(e_3,e_3,e_3)
    | product(e_1,e_5,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20047]) ).

cnf(c_1860,plain,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20048]) ).

cnf(c_20049,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1804,c_1604]) ).

cnf(c_20050,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20049]) ).

cnf(c_20051,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20050]) ).

cnf(c_1861,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20051]) ).

cnf(c_20052,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1807,c_1418]) ).

cnf(c_20053,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20052]) ).

cnf(c_20054,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20053]) ).

cnf(c_2058,plain,
    ( product(e_1,e_4,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20054]) ).

cnf(c_20055,plain,
    ( product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1860,c_1417]) ).

cnf(c_20056,plain,
    ( product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20055]) ).

cnf(c_20057,plain,
    ( product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20056]) ).

cnf(c_2075,plain,
    ( product(e_4,e_1,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20057]) ).

cnf(c_20058,plain,
    ( product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_1861,c_1417]) ).

cnf(c_20059,plain,
    ( product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20058]) ).

cnf(c_20060,plain,
    ( product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20059]) ).

cnf(c_2084,plain,
    ( product(e_4,e_1,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20060]) ).

cnf(c_20061,plain,
    ( product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2058,c_1417]) ).

cnf(c_20062,plain,
    ( product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20061]) ).

cnf(c_20063,plain,
    ( product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_4,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20062]) ).

cnf(c_2180,plain,
    ( product(e_4,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20063]) ).

cnf(c_2201,plain,
    ( product(e_4,e_4,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2075,c_172]) ).

cnf(c_2223,plain,
    ( product(e_4,e_4,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2084,c_172]) ).

cnf(c_2343,plain,
    ( ~ product(e_3,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2180,c_32]) ).

cnf(c_2370,plain,
    ( ~ product(e_4,e_1,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2201,c_40]) ).

cnf(c_2389,plain,
    ( ~ product(e_4,e_1,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2223,c_40]) ).

cnf(c_20064,plain,
    ( product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2343,c_1620]) ).

cnf(c_20065,plain,
    ( product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20064]) ).

cnf(c_20066,plain,
    ( product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_4,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20065]) ).

cnf(c_20067,plain,
    ( product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20066]) ).

cnf(c_20068,plain,
    ( product(e_2,e_5,e_2)
    | product(e_1,e_4,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20067]) ).

cnf(c_2487,plain,
    ( product(e_1,e_4,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20068]) ).

cnf(c_2490,plain,
    ( product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2487,c_172]) ).

cnf(c_2495,plain,
    ( ~ product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2487,c_44]) ).

cnf(c_20069,plain,
    ( product(e_2,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2490,c_1417]) ).

cnf(c_20070,plain,
    ( product(e_2,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20069]) ).

cnf(c_20071,plain,
    ( product(e_2,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20070]) ).

cnf(c_2500,plain,
    ( product(e_2,e_1,e_4)
    | product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20071]) ).

cnf(c_20072,plain,
    ( product(e_1,e_4,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2500,c_2495]) ).

cnf(c_20073,plain,
    ( product(e_1,e_4,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20072]) ).

cnf(c_20074,plain,
    ( product(e_1,e_4,e_2)
    | product(e_2,e_5,e_1)
    | product(e_1,e_5,e_3)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20073]) ).

cnf(c_20075,plain,
    ( product(e_1,e_4,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20074]) ).

cnf(c_2507,plain,
    ( product(e_2,e_5,e_1)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20075]) ).

cnf(c_20076,plain,
    ( product(e_2,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2507,c_1417]) ).

cnf(c_20077,plain,
    ( product(e_2,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20076]) ).

cnf(c_20078,plain,
    ( product(e_2,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20077]) ).

cnf(c_20079,plain,
    ( product(e_2,e_1,e_4)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20078]) ).

cnf(c_2516,plain,
    ( product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20079]) ).

cnf(c_20080,plain,
    ( ~ next(e_2,e_3)
    | ~ greater(A,e_0)
    | ~ cycle(e_2,A)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2516,c_69]) ).

cnf(c_2527,plain,
    ( ~ greater(A,e_0)
    | ~ cycle(e_2,A)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_135,c_20080]) ).

cnf(c_20081,plain,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2370,c_2075]) ).

cnf(c_20082,plain,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20081]) ).

cnf(c_20083,plain,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20082]) ).

cnf(c_20084,plain,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20083]) ).

cnf(c_20085,plain,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20084]) ).

cnf(c_20086,plain,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20085]) ).

cnf(c_2623,plain,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20086]) ).

cnf(c_20087,plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2623,c_1417]) ).

cnf(c_20088,plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20087]) ).

cnf(c_20089,plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20088]) ).

cnf(c_2626,plain,
    ( product(e_3,e_1,e_4)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20089]) ).

cnf(c_2633,plain,
    ( ~ product(e_2,e_5,e_1)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2623,c_29]) ).

cnf(c_20090,plain,
    ( product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2626,c_1476]) ).

cnf(c_20091,plain,
    ( product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20090]) ).

cnf(c_20092,plain,
    ( product(e_1,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20091]) ).

cnf(c_2635,plain,
    ( product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20092]) ).

cnf(c_20093,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2389,c_2084]) ).

cnf(c_20094,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20093]) ).

cnf(c_20095,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20094]) ).

cnf(c_20096,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20095]) ).

cnf(c_20097,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20096]) ).

cnf(c_20098,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20097]) ).

cnf(c_2646,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20098]) ).

cnf(c_20099,plain,
    ( product(e_3,e_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2646,c_2633]) ).

cnf(c_20100,plain,
    ( product(e_3,e_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20099]) ).

cnf(c_20101,plain,
    ( product(e_3,e_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20100]) ).

cnf(c_20102,plain,
    ( product(e_3,e_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20101]) ).

cnf(c_2647,plain,
    ( product(e_3,e_3,e_3)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20102]) ).

cnf(c_20103,plain,
    ( product(e_4,e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2646,c_1798]) ).

cnf(c_20104,plain,
    ( product(e_4,e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_4,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20103]) ).

cnf(c_20105,plain,
    ( product(e_4,e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_4,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20104]) ).

cnf(c_20106,plain,
    ( product(e_4,e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_4,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20105]) ).

cnf(c_2648,plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20106]) ).

cnf(c_2650,plain,
    ( product(A,e_2,e_1)
    | ~ product(A,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2646,c_107]) ).

cnf(c_20107,plain,
    ( product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2647,c_1476]) ).

cnf(c_20108,plain,
    ( product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20107]) ).

cnf(c_20109,plain,
    ( product(e_1,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20108]) ).

cnf(c_2656,plain,
    ( product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20109]) ).

cnf(c_20110,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_5,e_1)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2635,c_1803]) ).

cnf(c_20111,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_4,e_5,e_1)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20110]) ).

cnf(c_20112,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_4,e_5,e_1)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20111]) ).

cnf(c_20113,plain,
    ( product(e_1,e_4,e_3)
    | product(e_4,e_5,e_1)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20112]) ).

cnf(c_2826,plain,
    ( product(e_4,e_5,e_1)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20113]) ).

cnf(c_2842,plain,
    ( ~ product(e_2,e_5,e_1)
    | product(e_4,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2648,c_31]) ).

cnf(c_20114,plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2656,c_2650]) ).

cnf(c_20115,plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20114]) ).

cnf(c_20116,plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_3,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20115]) ).

cnf(c_20117,plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_3,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20116]) ).

cnf(c_20118,plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_3,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20117]) ).

cnf(c_2844,plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20118]) ).

cnf(c_20119,plain,
    ( product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2826,c_1417]) ).

cnf(c_20120,plain,
    ( product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20119]) ).

cnf(c_20121,plain,
    ( product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20120]) ).

cnf(c_2870,plain,
    ( product(e_4,e_1,e_4)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20121]) ).

cnf(c_20122,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_4,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2842,c_2646]) ).

cnf(c_20123,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_4,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20122]) ).

cnf(c_20124,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_4,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20123]) ).

cnf(c_20125,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_4,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20124]) ).

cnf(c_20126,plain,
    ( product(e_2,e_3,e_1)
    | product(e_4,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20125]) ).

cnf(c_2893,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20126]) ).

cnf(c_2899,plain,
    ( ~ product(e_3,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2893,c_32]) ).

cnf(c_2906,plain,
    ( ~ product(e_2,e_5,e_1)
    | product(e_3,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2844,c_29]) ).

cnf(c_2951,plain,
    ( product(e_4,e_4,e_4)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2870,c_172]) ).

cnf(c_20127,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2906,c_2646]) ).

cnf(c_20128,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_3,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20127]) ).

cnf(c_20129,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_3,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20128]) ).

cnf(c_20130,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_3,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20129]) ).

cnf(c_20131,plain,
    ( product(e_2,e_3,e_1)
    | product(e_3,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20130]) ).

cnf(c_2979,plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20131]) ).

cnf(c_20132,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2979,c_2899]) ).

cnf(c_20133,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20132]) ).

cnf(c_20134,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20133]) ).

cnf(c_20135,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20134]) ).

cnf(c_20136,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20135]) ).

cnf(c_2980,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20136]) ).

cnf(c_2987,plain,
    ( ~ product(e_2,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2980,c_38]) ).

cnf(c_2998,plain,
    ( ~ product(e_4,e_1,e_4)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2951,c_40]) ).

cnf(c_20137,plain,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_2998,c_2870]) ).

cnf(c_20138,plain,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20137]) ).

cnf(c_20139,plain,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20138]) ).

cnf(c_20140,plain,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20139]) ).

cnf(c_20141,plain,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20140]) ).

cnf(c_20142,plain,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20141]) ).

cnf(c_3025,plain,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20142]) ).

cnf(c_20143,plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_3025,c_1417]) ).

cnf(c_20144,plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20143]) ).

cnf(c_20145,plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20144]) ).

cnf(c_20146,plain,
    ( product(e_3,e_1,e_4)
    | product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20145]) ).

cnf(c_3026,plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(copy,[status(thm)],[c_20146]) ).

cnf(c_3032,plain,
    ( product(A,e_3,e_4)
    | ~ product(A,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1) ),
    inference(resolve,[status(thm)],[c_3026,c_107]) ).

cnf(c_6984,plain,
    ( product(e_4,e_4,e_4)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_928,c_172]) ).

cnf(c_7215,plain,
    ( product(e_4,e_4,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_961,c_172]) ).

cnf(c_20147,plain,
    ( ~ greater(e_5,e_2)
    | ~ cycle(e_2,e_0)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_1238,c_114]) ).

cnf(c_7565,plain,
    ( ~ cycle(e_2,e_0)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_121,c_20147]) ).

cnf(c_20148,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7565,c_214]) ).

cnf(c_20149,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20148]) ).

cnf(c_20150,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20149]) ).

cnf(c_20151,plain,
    ( cycle(e_2,e_4)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20150]) ).

cnf(c_7573,plain,
    ( product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20151]) ).

cnf(c_20152,plain,
    ( product(e_2,e_1,e_4)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7573,c_1241]) ).

cnf(c_20153,plain,
    ( product(e_2,e_1,e_4)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20152]) ).

cnf(c_20154,plain,
    ( product(e_2,e_1,e_4)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20153]) ).

cnf(c_20155,plain,
    ( product(e_2,e_1,e_4)
    | cycle(e_2,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20154]) ).

cnf(c_7577,plain,
    ( product(e_2,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20155]) ).

cnf(c_20156,plain,
    ( ~ greater(e_4,e_2)
    | ~ cycle(e_2,e_0)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7577,c_114]) ).

cnf(c_7592,plain,
    ( ~ cycle(e_2,e_0)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_122,c_20156]) ).

cnf(c_20157,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7592,c_214]) ).

cnf(c_20158,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20157]) ).

cnf(c_20159,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20158]) ).

cnf(c_20160,plain,
    ( cycle(e_2,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20159]) ).

cnf(c_7599,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20160]) ).

cnf(c_20161,plain,
    ( product(e_2,e_1,e_3)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7599,c_1241]) ).

cnf(c_20162,plain,
    ( product(e_2,e_1,e_3)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20161]) ).

cnf(c_20163,plain,
    ( product(e_2,e_1,e_3)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20162]) ).

cnf(c_20164,plain,
    ( product(e_2,e_1,e_3)
    | cycle(e_2,e_4)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20163]) ).

cnf(c_7604,plain,
    ( product(e_2,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20164]) ).

cnf(c_20165,plain,
    ( ~ greater(e_3,e_2)
    | ~ cycle(e_2,e_0)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7604,c_114]) ).

cnf(c_7621,plain,
    ( ~ cycle(e_2,e_0)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_123,c_20165]) ).

cnf(c_20166,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7621,c_214]) ).

cnf(c_20167,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20166]) ).

cnf(c_20168,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20167]) ).

cnf(c_20169,plain,
    ( cycle(e_2,e_4)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20168]) ).

cnf(c_7627,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20169]) ).

cnf(c_20170,plain,
    ( product(e_1,e_2,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7627,c_1240]) ).

cnf(c_20171,plain,
    ( product(e_1,e_2,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20170]) ).

cnf(c_20172,plain,
    ( product(e_1,e_2,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20171]) ).

cnf(c_20173,plain,
    ( product(e_1,e_2,e_1)
    | cycle(e_2,e_4)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20172]) ).

cnf(c_7631,plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20173]) ).

cnf(c_20174,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7631,c_172]) ).

cnf(c_7648,plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20174]) ).

cnf(c_20175,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7648,c_1244]) ).

cnf(c_20176,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20175]) ).

cnf(c_20177,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20176]) ).

cnf(c_20178,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20177]) ).

cnf(c_7650,plain,
    ( cycle(e_2,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20178]) ).

cnf(c_20179,plain,
    ( cycle(e_4,e_1)
    | ~ greater(e_4,e_0)
    | ~ greater(e_4,e_2)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7650,c_710]) ).

cnf(c_20180,plain,
    ( cycle(e_4,e_1)
    | ~ greater(e_4,e_0)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_122,c_20179]) ).

cnf(c_7660,plain,
    ( cycle(e_4,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_129,c_20180]) ).

cnf(c_7666,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7650,c_488]) ).

cnf(c_7676,plain,
    ( ~ cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7660,c_628]) ).

cnf(c_7677,plain,
    ( ~ cycle(e_3,e_3)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7660,c_521]) ).

cnf(c_7678,plain,
    ( ~ cycle(e_3,e_4)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7660,c_498]) ).

cnf(c_20181,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7666,c_7678]) ).

cnf(c_20182,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20181]) ).

cnf(c_20183,plain,
    ( cycle(e_2,e_3)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20182]) ).

cnf(c_7690,plain,
    ( cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20183]) ).

cnf(c_20184,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7690,c_7677]) ).

cnf(c_20185,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20184]) ).

cnf(c_20186,plain,
    ( cycle(e_2,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20185]) ).

cnf(c_7691,plain,
    ( cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20186]) ).

cnf(c_7698,plain,
    ( ~ cycle(e_2,e_4)
    | cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7691,c_243]) ).

cnf(c_20187,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7698,c_7650]) ).

cnf(c_20188,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20187]) ).

cnf(c_20189,plain,
    ( cycle(e_2,e_3)
    | cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20188]) ).

cnf(c_7706,plain,
    ( cycle(e_3,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20189]) ).

cnf(c_20190,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7706,c_7676]) ).

cnf(c_20191,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20190]) ).

cnf(c_20192,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20191]) ).

cnf(c_7707,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20192]) ).

cnf(c_20193,plain,
    ( ~ greater(e_3,e_0)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7707,c_2527]) ).

cnf(c_7708,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_130,c_20193]) ).

cnf(c_20194,plain,
    ( ~ greater(e_3,e_0)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7707,c_1014]) ).

cnf(c_7709,plain,
    ( product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_130,c_20194]) ).

cnf(c_20195,plain,
    ( cycle(e_4,e_1)
    | ~ greater(e_3,e_0)
    | ~ greater(e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7707,c_710]) ).

cnf(c_20196,plain,
    ( cycle(e_4,e_1)
    | ~ greater(e_3,e_0)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_122,c_20195]) ).

cnf(c_7722,plain,
    ( cycle(e_4,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_130,c_20196]) ).

cnf(c_7795,plain,
    ( product(e_1,e_3,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7708,c_1453]) ).

cnf(c_7796,plain,
    ( product(A,e_1,e_3)
    | ~ product(A,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7708,c_107]) ).

cnf(c_7797,plain,
    ( product(e_1,e_3,A)
    | ~ product(e_3,e_5,A)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7708,c_107]) ).

cnf(c_20197,plain,
    ( ~ next(e_2,e_3)
    | ~ greater(A,e_0)
    | ~ cycle(e_2,A)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7709,c_69]) ).

cnf(c_7812,plain,
    ( ~ greater(A,e_0)
    | ~ cycle(e_2,A)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_135,c_20197]) ).

cnf(c_20198,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | ~ greater(e_3,e_0)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7812,c_7707]) ).

cnf(c_20199,plain,
    ( cycle(e_2,e_2)
    | ~ greater(e_3,e_0)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20198]) ).

cnf(c_20200,plain,
    ( ~ greater(e_3,e_0)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20199]) ).

cnf(c_7814,plain,
    ( product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_130,c_20200]) ).

cnf(c_7816,plain,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7814,c_3032]) ).

cnf(c_7822,plain,
    ( product(A,e_2,e_3)
    | ~ product(A,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7814,c_107]) ).

cnf(c_7823,plain,
    ( product(e_2,e_3,A)
    | ~ product(e_3,e_1,A)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7814,c_107]) ).

cnf(c_7828,plain,
    ( ~ product(e_1,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7814,c_27]) ).

cnf(c_8678,plain,
    ( ~ product(e_4,e_1,e_4)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_6984,c_40]) ).

cnf(c_8878,plain,
    ( ~ product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_7215,c_40]) ).

cnf(c_20201,plain,
    ( product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_8678,c_928]) ).

cnf(c_20202,plain,
    ( product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20201]) ).

cnf(c_20203,plain,
    ( product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20202]) ).

cnf(c_20204,plain,
    ( product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20203]) ).

cnf(c_20205,plain,
    ( product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20204]) ).

cnf(c_20206,plain,
    ( product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20205]) ).

cnf(c_20207,plain,
    ( product(e_1,e_1,e_4)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20206]) ).

cnf(c_10378,plain,
    ( product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20207]) ).

cnf(c_20208,plain,
    ( ~ next(e_4,e_5)
    | ~ greater(A,e_0)
    | ~ cycle(e_4,A)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_10378,c_76]) ).

cnf(c_10402,plain,
    ( ~ greater(A,e_0)
    | ~ cycle(e_4,A)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_133,c_20208]) ).

cnf(c_20209,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | ~ greater(e_1,e_0)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_10402,c_7722]) ).

cnf(c_10406,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_132,c_20209]) ).

cnf(c_20210,plain,
    ( ~ next(e_4,e_5)
    | ~ greater(A,e_0)
    | ~ cycle(e_4,A)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_10406,c_86]) ).

cnf(c_10434,plain,
    ( ~ greater(A,e_0)
    | ~ cycle(e_4,A)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_133,c_20210]) ).

cnf(c_20211,plain,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_8878,c_961]) ).

cnf(c_20212,plain,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20211]) ).

cnf(c_20213,plain,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20212]) ).

cnf(c_20214,plain,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20213]) ).

cnf(c_20215,plain,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20214]) ).

cnf(c_20216,plain,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20215]) ).

cnf(c_20217,plain,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20216]) ).

cnf(c_10753,plain,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20217]) ).

cnf(c_20218,plain,
    ( ~ next(e_4,e_5)
    | ~ greater(A,e_0)
    | ~ cycle(e_4,A)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_10753,c_76]) ).

cnf(c_10775,plain,
    ( ~ greater(A,e_0)
    | ~ cycle(e_4,A)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_133,c_20218]) ).

cnf(c_20219,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | ~ greater(e_1,e_0)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_10775,c_7722]) ).

cnf(c_10807,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_132,c_20219]) ).

cnf(c_20220,plain,
    ( ~ next(e_4,e_5)
    | ~ greater(A,e_0)
    | ~ cycle(e_4,A)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_10807,c_86]) ).

cnf(c_10828,plain,
    ( ~ greater(A,e_0)
    | ~ cycle(e_4,A)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_133,c_20220]) ).

cnf(c_20221,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | ~ greater(e_1,e_0)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_10434,c_7722]) ).

cnf(c_20222,plain,
    ( cycle(e_2,e_2)
    | ~ greater(e_1,e_0)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20221]) ).

cnf(c_20223,plain,
    ( ~ greater(e_1,e_0)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20222]) ).

cnf(c_11679,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_132,c_20223]) ).

cnf(c_20224,plain,
    ( product(e_4,e_1,e_5)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_11679,c_384]) ).

cnf(c_20225,plain,
    ( product(e_4,e_1,e_5)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20224]) ).

cnf(c_20226,plain,
    ( product(e_4,e_1,e_5)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20225]) ).

cnf(c_20227,plain,
    ( product(e_4,e_1,e_5)
    | product(e_1,e_1,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20226]) ).

cnf(c_11702,plain,
    ( product(e_4,e_1,e_5)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20227]) ).

cnf(c_11726,plain,
    ( ~ product(e_4,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_11702,c_53]) ).

cnf(c_20228,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_11726,c_11679]) ).

cnf(c_20229,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20228]) ).

cnf(c_20230,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20229]) ).

cnf(c_20231,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20230]) ).

cnf(c_20232,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20231]) ).

cnf(c_20233,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20232]) ).

cnf(c_11730,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20233]) ).

cnf(c_11740,plain,
    ( product(A,e_1,e_4)
    | ~ product(A,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_11730,c_107]) ).

cnf(c_20234,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | ~ greater(e_1,e_0)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_10828,c_7722]) ).

cnf(c_20235,plain,
    ( cycle(e_2,e_2)
    | ~ greater(e_1,e_0)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20234]) ).

cnf(c_20236,plain,
    ( ~ greater(e_1,e_0)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20235]) ).

cnf(c_12022,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_132,c_20236]) ).

cnf(c_20237,plain,
    ( ~ next(e_4,e_5)
    | ~ greater(A,e_0)
    | ~ cycle(e_4,A)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12022,c_97]) ).

cnf(c_12046,plain,
    ( ~ greater(A,e_0)
    | ~ cycle(e_4,A)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_133,c_20237]) ).

cnf(c_20238,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | ~ greater(e_1,e_0)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12046,c_7722]) ).

cnf(c_20239,plain,
    ( cycle(e_2,e_2)
    | ~ greater(e_1,e_0)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20238]) ).

cnf(c_20240,plain,
    ( ~ greater(e_1,e_0)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20239]) ).

cnf(c_12050,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_132,c_20240]) ).

cnf(c_20241,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12050,c_7823]) ).

cnf(c_20242,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20241]) ).

cnf(c_12053,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20242]) ).

cnf(c_12074,plain,
    ( ~ product(e_1,e_1,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12050,c_28]) ).

cnf(c_20243,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12074,c_11730]) ).

cnf(c_20244,plain,
    ( cycle(e_2,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20243]) ).

cnf(c_12075,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20244]) ).

cnf(c_12086,plain,
    ( ~ product(e_2,e_1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12053,c_29]) ).

cnf(c_12130,plain,
    ( product(e_3,e_3,e_3)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12075,c_172]) ).

cnf(c_20245,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12086,c_7814]) ).

cnf(c_20246,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20245]) ).

cnf(c_20247,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20246]) ).

cnf(c_20248,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20247]) ).

cnf(c_12165,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20248]) ).

cnf(c_20249,plain,
    ( product(e_3,e_2,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12165,c_7822]) ).

cnf(c_20250,plain,
    ( product(e_3,e_2,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20249]) ).

cnf(c_20251,plain,
    ( product(e_3,e_2,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20250]) ).

cnf(c_20252,plain,
    ( product(e_3,e_2,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20251]) ).

cnf(c_12170,plain,
    ( product(e_3,e_2,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20252]) ).

cnf(c_12207,plain,
    ( product(e_3,e_3,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12170,c_172]) ).

cnf(c_12256,plain,
    ( ~ product(e_3,e_2,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12207,c_39]) ).

cnf(c_20253,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12256,c_12170]) ).

cnf(c_20254,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20253]) ).

cnf(c_20255,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20254]) ).

cnf(c_20256,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20255]) ).

cnf(c_20257,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20256]) ).

cnf(c_20258,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20257]) ).

cnf(c_12262,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20258]) ).

cnf(c_20259,plain,
    ( product(e_3,e_1,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_12262,c_11740]) ).

cnf(c_20260,plain,
    ( product(e_3,e_1,e_4)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20259]) ).

cnf(c_12263,plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20260]) ).

cnf(c_12275,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_12262,c_28]) ).

cnf(c_12517,plain,
    ( ~ product(e_3,e_1,e_3)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12130,c_38]) ).

cnf(c_20261,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12517,c_12075]) ).

cnf(c_20262,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20261]) ).

cnf(c_20263,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20262]) ).

cnf(c_20264,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20263]) ).

cnf(c_20265,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20264]) ).

cnf(c_20266,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20265]) ).

cnf(c_20267,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20266]) ).

cnf(c_12605,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20267]) ).

cnf(c_20268,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_12605,c_7823]) ).

cnf(c_20269,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20268]) ).

cnf(c_12612,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_3,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20269]) ).

cnf(c_14887,plain,
    ( ~ product(e_1,e_5,e_3)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7795,c_28]) ).

cnf(c_14902,plain,
    ( ~ product(e_2,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_7816,c_50]) ).

cnf(c_20270,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_12263,c_7823]) ).

cnf(c_20271,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20270]) ).

cnf(c_20272,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20271]) ).

cnf(c_20273,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20272]) ).

cnf(c_20274,plain,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20273]) ).

cnf(c_14963,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20274]) ).

cnf(c_14990,plain,
    ( ~ product(e_2,e_3,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_14963,c_51]) ).

cnf(c_14991,plain,
    ( ~ product(e_2,e_3,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_14963,c_50]) ).

cnf(c_20275,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_12612,c_7823]) ).

cnf(c_20276,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_2,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20275]) ).

cnf(c_20277,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20276]) ).

cnf(c_20278,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20277]) ).

cnf(c_15028,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20278]) ).

cnf(c_20279,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_14887,c_7708]) ).

cnf(c_20280,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20279]) ).

cnf(c_20281,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20280]) ).

cnf(c_20282,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20281]) ).

cnf(c_20283,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20282]) ).

cnf(c_15159,plain,
    ( product(e_1,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20283]) ).

cnf(c_20284,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15159,c_7797]) ).

cnf(c_20285,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20284]) ).

cnf(c_20286,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20285]) ).

cnf(c_20287,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20286]) ).

cnf(c_20288,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20287]) ).

cnf(c_15177,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20288]) ).

cnf(c_20289,plain,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15177,c_7796]) ).

cnf(c_20290,plain,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20289]) ).

cnf(c_20291,plain,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20290]) ).

cnf(c_20292,plain,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20291]) ).

cnf(c_20293,plain,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20292]) ).

cnf(c_15190,plain,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20293]) ).

cnf(c_15267,plain,
    ( product(e_3,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15190,c_172]) ).

cnf(c_15293,plain,
    ( ~ product(e_3,e_1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15267,c_38]) ).

cnf(c_20294,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15293,c_15190]) ).

cnf(c_20295,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20294]) ).

cnf(c_20296,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20295]) ).

cnf(c_20297,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20296]) ).

cnf(c_20298,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20297]) ).

cnf(c_20299,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20298]) ).

cnf(c_20300,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20299]) ).

cnf(c_15297,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20300]) ).

cnf(c_15350,plain,
    ( product(A,e_1,e_2)
    | ~ product(A,e_5,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15297,c_107]) ).

cnf(c_20301,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_14902,c_2980]) ).

cnf(c_20302,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20301]) ).

cnf(c_20303,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20302]) ).

cnf(c_20304,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20303]) ).

cnf(c_15356,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20304]) ).

cnf(c_15358,plain,
    ( product(e_2,e_2,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15356,c_172]) ).

cnf(c_15367,plain,
    ( ~ product(e_2,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15358,c_37]) ).

cnf(c_20305,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15367,c_15356]) ).

cnf(c_20306,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20305]) ).

cnf(c_20307,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20306]) ).

cnf(c_20308,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20307]) ).

cnf(c_20309,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20308]) ).

cnf(c_20310,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20309]) ).

cnf(c_20311,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20310]) ).

cnf(c_15369,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20311]) ).

cnf(c_20312,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15369,c_2987]) ).

cnf(c_20313,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20312]) ).

cnf(c_20314,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20313]) ).

cnf(c_20315,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20314]) ).

cnf(c_15372,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20315]) ).

cnf(c_15413,plain,
    ( product(e_1,e_3,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15372,c_1453]) ).

cnf(c_15414,plain,
    ( product(A,e_1,e_3)
    | ~ product(A,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15372,c_107]) ).

cnf(c_15415,plain,
    ( product(e_1,e_3,A)
    | ~ product(e_3,e_5,A)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15372,c_107]) ).

cnf(c_15417,plain,
    ( ~ product(e_1,e_2,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15372,c_44]) ).

cnf(c_20316,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15028,c_14990]) ).

cnf(c_20317,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20316]) ).

cnf(c_20318,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20317]) ).

cnf(c_20319,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20318]) ).

cnf(c_20320,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20319]) ).

cnf(c_20321,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20320]) ).

cnf(c_20322,plain,
    ( product(e_1,e_1,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20321]) ).

cnf(c_15552,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20322]) ).

cnf(c_20323,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15552,c_14991]) ).

cnf(c_20324,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20323]) ).

cnf(c_20325,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20324]) ).

cnf(c_20326,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20325]) ).

cnf(c_20327,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20326]) ).

cnf(c_20328,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20327]) ).

cnf(c_20329,plain,
    ( product(e_1,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20328]) ).

cnf(c_15553,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20329]) ).

cnf(c_15558,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15553,c_172]) ).

cnf(c_15583,plain,
    ( ~ product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15558,c_37]) ).

cnf(c_20330,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15583,c_15553]) ).

cnf(c_20331,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20330]) ).

cnf(c_20332,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20331]) ).

cnf(c_20333,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20332]) ).

cnf(c_20334,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20333]) ).

cnf(c_20335,plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20334]) ).

cnf(c_15606,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20335]) ).

cnf(c_20336,plain,
    ( product(e_2,e_1,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15606,c_11740]) ).

cnf(c_20337,plain,
    ( product(e_2,e_1,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20336]) ).

cnf(c_20338,plain,
    ( product(e_2,e_1,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20337]) ).

cnf(c_20339,plain,
    ( product(e_2,e_1,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20338]) ).

cnf(c_20340,plain,
    ( product(e_2,e_1,e_4)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20339]) ).

cnf(c_15610,plain,
    ( product(e_2,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20340]) ).

cnf(c_15637,plain,
    ( ~ product(e_2,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15610,c_50]) ).

cnf(c_20341,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15637,c_15606]) ).

cnf(c_20342,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20341]) ).

cnf(c_20343,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20342]) ).

cnf(c_20344,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20343]) ).

cnf(c_20345,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20344]) ).

cnf(c_15639,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20345]) ).

cnf(c_20346,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15639,c_7828]) ).

cnf(c_20347,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20346]) ).

cnf(c_15651,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20347]) ).

cnf(c_15655,plain,
    ( product(A,e_1,e_3)
    | ~ product(A,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15639,c_107]) ).

cnf(c_15662,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15651,c_172]) ).

cnf(c_15672,plain,
    ( ~ product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15662,c_37]) ).

cnf(c_20348,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15672,c_15651]) ).

cnf(c_20349,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20348]) ).

cnf(c_20350,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20349]) ).

cnf(c_20351,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20350]) ).

cnf(c_20352,plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20351]) ).

cnf(c_15674,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20352]) ).

cnf(c_20353,plain,
    ( product(e_2,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15674,c_15655]) ).

cnf(c_20354,plain,
    ( product(e_2,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20353]) ).

cnf(c_20355,plain,
    ( product(e_2,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20354]) ).

cnf(c_20356,plain,
    ( product(e_2,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20355]) ).

cnf(c_15675,plain,
    ( product(e_2,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20356]) ).

cnf(c_15698,plain,
    ( ~ product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15675,c_48]) ).

cnf(c_20357,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15698,c_15674]) ).

cnf(c_20358,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20357]) ).

cnf(c_20359,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20358]) ).

cnf(c_20360,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20359]) ).

cnf(c_15700,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20360]) ).

cnf(c_20361,plain,
    ( product(e_1,e_2,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15700,c_7822]) ).

cnf(c_20362,plain,
    ( product(e_1,e_2,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20361]) ).

cnf(c_15706,plain,
    ( product(e_1,e_2,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20362]) ).

cnf(c_15708,plain,
    ( product(A,e_1,e_2)
    | ~ product(A,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15700,c_107]) ).

cnf(c_15724,plain,
    ( ~ product(e_1,e_1,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15706,c_27]) ).

cnf(c_20363,plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_2,e_3)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15724,c_15700]) ).

cnf(c_20364,plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20363]) ).

cnf(c_20365,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_3)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20364]) ).

cnf(c_15744,plain,
    ( product(e_1,e_2,e_3)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20365]) ).

cnf(c_20366,plain,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_2,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15744,c_15708]) ).

cnf(c_20367,plain,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20366]) ).

cnf(c_20368,plain,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_1,e_2,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20367]) ).

cnf(c_15746,plain,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20368]) ).

cnf(c_15788,plain,
    ( ~ product(e_2,e_1,e_1)
    | product(e_1,e_2,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15746,c_47]) ).

cnf(c_20369,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_2,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15788,c_15744]) ).

cnf(c_20370,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20369]) ).

cnf(c_20371,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_1,e_1)
    | product(e_1,e_2,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20370]) ).

cnf(c_20372,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20371]) ).

cnf(c_15815,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20372]) ).

cnf(c_20373,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15815,c_15417]) ).

cnf(c_20374,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20373]) ).

cnf(c_15816,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20374]) ).

cnf(c_15889,plain,
    ( ~ product(e_1,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15816,c_43]) ).

cnf(c_20375,plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15889,c_15700]) ).

cnf(c_20376,plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20375]) ).

cnf(c_20377,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20376]) ).

cnf(c_15941,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20377]) ).

cnf(c_20378,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15941,c_172]) ).

cnf(c_15966,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20378]) ).

cnf(c_15979,plain,
    ( ~ product(e_1,e_2,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15966,c_41]) ).

cnf(c_20379,plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15979,c_15815]) ).

cnf(c_20380,plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20379]) ).

cnf(c_20381,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20380]) ).

cnf(c_15980,plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20381]) ).

cnf(c_20382,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15980,c_12275]) ).

cnf(c_20383,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20382]) ).

cnf(c_15981,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20383]) ).

cnf(c_16009,plain,
    ( product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15981,c_1432]) ).

cnf(c_16011,plain,
    ( product(e_2,e_4,e_5)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15981,c_921]) ).

cnf(c_16013,plain,
    ( product(A,e_2,e_4)
    | ~ product(A,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15981,c_107]) ).

cnf(c_16014,plain,
    ( product(e_2,e_4,A)
    | ~ product(e_4,e_3,A)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15981,c_107]) ).

cnf(c_16020,plain,
    ( ~ product(e_1,e_3,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15981,c_27]) ).

cnf(c_16052,plain,
    ( ~ product(e_2,e_1,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16009,c_43]) ).

cnf(c_20384,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16052,c_7814]) ).

cnf(c_20385,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20384]) ).

cnf(c_20386,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20385]) ).

cnf(c_20387,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20386]) ).

cnf(c_16071,plain,
    ( product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20387]) ).

cnf(c_16092,plain,
    ( ~ product(e_1,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16071,c_27]) ).

cnf(c_20388,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16092,c_15297]) ).

cnf(c_20389,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20388]) ).

cnf(c_16121,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20389]) ).

cnf(c_16299,plain,
    ( ~ product(e_1,e_5,e_3)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_15413,c_28]) ).

cnf(c_16533,plain,
    ( ~ product(e_2,e_3,e_4)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16011,c_31]) ).

cnf(c_20390,plain,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16121,c_15350]) ).

cnf(c_20391,plain,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20390]) ).

cnf(c_20392,plain,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20391]) ).

cnf(c_20393,plain,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20392]) ).

cnf(c_20394,plain,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20393]) ).

cnf(c_20395,plain,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20394]) ).

cnf(c_20396,plain,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20395]) ).

cnf(c_16559,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20396]) ).

cnf(c_16562,plain,
    ( product(e_2,e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16559,c_172]) ).

cnf(c_16572,plain,
    ( ~ product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16562,c_37]) ).

cnf(c_20397,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16572,c_16559]) ).

cnf(c_20398,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20397]) ).

cnf(c_20399,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20398]) ).

cnf(c_20400,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20399]) ).

cnf(c_20401,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20400]) ).

cnf(c_20402,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20401]) ).

cnf(c_20403,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20402]) ).

cnf(c_16573,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20403]) ).

cnf(c_16583,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16573,c_27]) ).

cnf(c_20404,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16583,c_15980]) ).

cnf(c_20405,plain,
    ( cycle(e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20404]) ).

cnf(c_16584,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20405]) ).

cnf(c_16616,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16584,c_43]) ).

cnf(c_20406,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16616,c_15980]) ).

cnf(c_20407,plain,
    ( cycle(e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20406]) ).

cnf(c_16617,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20407]) ).

cnf(c_20408,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16299,c_15372]) ).

cnf(c_20409,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20408]) ).

cnf(c_20410,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20409]) ).

cnf(c_20411,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20410]) ).

cnf(c_20412,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20411]) ).

cnf(c_16794,plain,
    ( product(e_1,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20412]) ).

cnf(c_20413,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16794,c_15415]) ).

cnf(c_20414,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20413]) ).

cnf(c_20415,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20414]) ).

cnf(c_20416,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20415]) ).

cnf(c_20417,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20416]) ).

cnf(c_16798,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_3,e_5,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20417]) ).

cnf(c_20418,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16798,c_15415]) ).

cnf(c_20419,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20418]) ).

cnf(c_20420,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20419]) ).

cnf(c_20421,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20420]) ).

cnf(c_20422,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20421]) ).

cnf(c_16817,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20422]) ).

cnf(c_20423,plain,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16798,c_15414]) ).

cnf(c_20424,plain,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20423]) ).

cnf(c_20425,plain,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20424]) ).

cnf(c_20426,plain,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20425]) ).

cnf(c_20427,plain,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20426]) ).

cnf(c_16818,plain,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20427]) ).

cnf(c_16884,plain,
    ( ~ product(e_1,e_4,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16817,c_46]) ).

cnf(c_16887,plain,
    ( product(e_3,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16818,c_172]) ).

cnf(c_20428,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16884,c_16617]) ).

cnf(c_20429,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20428]) ).

cnf(c_20430,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20429]) ).

cnf(c_20431,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20430]) ).

cnf(c_16900,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20431]) ).

cnf(c_16929,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16900,c_43]) ).

cnf(c_20432,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16929,c_15980]) ).

cnf(c_20433,plain,
    ( cycle(e_2,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20432]) ).

cnf(c_16930,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20433]) ).

cnf(c_16941,plain,
    ( ~ product(e_1,e_4,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16930,c_49]) ).

cnf(c_20434,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16941,c_16617]) ).

cnf(c_20435,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20434]) ).

cnf(c_20436,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20435]) ).

cnf(c_20437,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20436]) ).

cnf(c_16948,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20437]) ).

cnf(c_20438,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16948,c_16020]) ).

cnf(c_20439,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20438]) ).

cnf(c_16949,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20439]) ).

cnf(c_16995,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16949,c_172]) ).

cnf(c_17009,plain,
    ( ~ product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16995,c_37]) ).

cnf(c_20440,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17009,c_16949]) ).

cnf(c_20441,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20440]) ).

cnf(c_20442,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20441]) ).

cnf(c_20443,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20442]) ).

cnf(c_20444,plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20443]) ).

cnf(c_17011,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20444]) ).

cnf(c_17024,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17011,c_27]) ).

cnf(c_20445,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17024,c_15980]) ).

cnf(c_20446,plain,
    ( cycle(e_2,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20445]) ).

cnf(c_17025,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20446]) ).

cnf(c_20447,plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17025,c_16013]) ).

cnf(c_20448,plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20447]) ).

cnf(c_17026,plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20448]) ).

cnf(c_17064,plain,
    ( product(e_2,e_2,e_2)
    | product(e_1,e_2,e_4)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17026,c_172]) ).

cnf(c_17074,plain,
    ( ~ product(e_2,e_1,e_2)
    | product(e_1,e_2,e_4)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17064,c_37]) ).

cnf(c_20449,plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_2,e_4)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17074,c_17026]) ).

cnf(c_20450,plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_2,e_4)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20449]) ).

cnf(c_20451,plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_4)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20450]) ).

cnf(c_20452,plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_4)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20451]) ).

cnf(c_20453,plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_2,e_4)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20452]) ).

cnf(c_17075,plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20453]) ).

cnf(c_17090,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_1,e_2,e_4)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17075,c_27]) ).

cnf(c_20454,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_2,e_4)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17090,c_15980]) ).

cnf(c_20455,plain,
    ( cycle(e_2,e_2)
    | product(e_1,e_2,e_4)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20454]) ).

cnf(c_17091,plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20455]) ).

cnf(c_17107,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_1,e_2,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17091,c_38]) ).

cnf(c_20456,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_2,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17107,c_15980]) ).

cnf(c_20457,plain,
    ( cycle(e_2,e_2)
    | product(e_1,e_2,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20456]) ).

cnf(c_17108,plain,
    ( product(e_1,e_2,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20457]) ).

cnf(c_17119,plain,
    ( product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17108,c_1421]) ).

cnf(c_17120,plain,
    ( product(e_1,e_4,e_5)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17108,c_911]) ).

cnf(c_17122,plain,
    ( product(A,e_1,e_4)
    | ~ product(A,e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17108,c_107]) ).

cnf(c_17123,plain,
    ( product(e_1,e_4,A)
    | ~ product(e_4,e_2,A)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17108,c_107]) ).

cnf(c_17169,plain,
    ( ~ product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17119,c_46]) ).

cnf(c_17243,plain,
    ( ~ product(e_1,e_2,e_4)
    | product(e_1,e_4,e_5)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17120,c_30]) ).

cnf(c_20458,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_5)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17243,c_17108]) ).

cnf(c_20459,plain,
    ( cycle(e_2,e_2)
    | product(e_1,e_4,e_5)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20458]) ).

cnf(c_17315,plain,
    ( product(e_1,e_4,e_5)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20459]) ).

cnf(c_20460,plain,
    ( product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_5)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17315,c_17123]) ).

cnf(c_20461,plain,
    ( product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | product(e_1,e_4,e_5)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20460]) ).

cnf(c_17317,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20461]) ).

cnf(c_20462,plain,
    ( product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | product(e_4,e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17317,c_17123]) ).

cnf(c_20463,plain,
    ( product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | product(e_4,e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20462]) ).

cnf(c_17329,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | product(e_4,e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20463]) ).

cnf(c_20464,plain,
    ( product(e_4,e_1,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17329,c_17122]) ).

cnf(c_20465,plain,
    ( product(e_4,e_1,e_4)
    | cycle(e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20464]) ).

cnf(c_17350,plain,
    ( product(e_4,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20465]) ).

cnf(c_17402,plain,
    ( product(e_4,e_4,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17350,c_172]) ).

cnf(c_17419,plain,
    ( ~ product(e_4,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17402,c_40]) ).

cnf(c_20466,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17419,c_17350]) ).

cnf(c_20467,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | cycle(e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20466]) ).

cnf(c_20468,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20467]) ).

cnf(c_20469,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20468]) ).

cnf(c_20470,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20469]) ).

cnf(c_17425,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20470]) ).

cnf(c_17521,plain,
    ( ~ product(e_3,e_1,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16887,c_38]) ).

cnf(c_20471,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17521,c_16818]) ).

cnf(c_20472,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20471]) ).

cnf(c_20473,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20472]) ).

cnf(c_20474,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20473]) ).

cnf(c_20475,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20474]) ).

cnf(c_20476,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20475]) ).

cnf(c_20477,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20476]) ).

cnf(c_17768,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20477]) ).

cnf(c_17809,plain,
    ( ~ product(e_1,e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17768,c_46]) ).

cnf(c_20478,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17809,c_16617]) ).

cnf(c_20479,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20478]) ).

cnf(c_20480,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20479]) ).

cnf(c_20481,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20480]) ).

cnf(c_17810,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20481]) ).

cnf(c_17833,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17810,c_43]) ).

cnf(c_20482,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17833,c_15980]) ).

cnf(c_20483,plain,
    ( cycle(e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20482]) ).

cnf(c_17834,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20483]) ).

cnf(c_17845,plain,
    ( ~ product(e_1,e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17834,c_49]) ).

cnf(c_20484,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17845,c_16617]) ).

cnf(c_20485,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20484]) ).

cnf(c_20486,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20485]) ).

cnf(c_20487,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20486]) ).

cnf(c_17850,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20487]) ).

cnf(c_17881,plain,
    ( ~ product(e_1,e_2,e_4)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17850,c_39]) ).

cnf(c_20488,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17881,c_17108]) ).

cnf(c_20489,plain,
    ( cycle(e_2,e_2)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20488]) ).

cnf(c_17882,plain,
    ( product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20489]) ).

cnf(c_17899,plain,
    ( product(A,e_1,e_2)
    | ~ product(A,e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_17882,c_107]) ).

cnf(c_20490,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_16533,c_15981]) ).

cnf(c_20491,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20490]) ).

cnf(c_20492,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20491]) ).

cnf(c_20493,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20492]) ).

cnf(c_18952,plain,
    ( product(e_2,e_4,e_5)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20493]) ).

cnf(c_20494,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_18952,c_16014]) ).

cnf(c_20495,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20494]) ).

cnf(c_20496,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20495]) ).

cnf(c_20497,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20496]) ).

cnf(c_18955,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20497]) ).

cnf(c_18981,plain,
    ( ~ product(e_1,e_3,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_18955,c_30]) ).

cnf(c_20498,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_18981,c_17882]) ).

cnf(c_20499,plain,
    ( cycle(e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20498]) ).

cnf(c_19014,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20499]) ).

cnf(c_20500,plain,
    ( product(e_4,e_1,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19014,c_17899]) ).

cnf(c_20501,plain,
    ( product(e_4,e_1,e_2)
    | cycle(e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20500]) ).

cnf(c_19018,plain,
    ( product(e_4,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20501]) ).

cnf(c_20502,plain,
    ( product(e_4,e_2,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19018,c_7822]) ).

cnf(c_20503,plain,
    ( product(e_4,e_2,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20502]) ).

cnf(c_20504,plain,
    ( product(e_4,e_2,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20503]) ).

cnf(c_20505,plain,
    ( product(e_4,e_2,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20504]) ).

cnf(c_19036,plain,
    ( product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20505]) ).

cnf(c_20506,plain,
    ( product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19036,c_17123]) ).

cnf(c_20507,plain,
    ( product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20506]) ).

cnf(c_19066,plain,
    ( product(e_1,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20507]) ).

cnf(c_19096,plain,
    ( ~ product(e_1,e_4,e_5)
    | product(e_1,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19066,c_27]) ).

cnf(c_20508,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19096,c_17425]) ).

cnf(c_20509,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20508]) ).

cnf(c_20510,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20509]) ).

cnf(c_19098,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20510]) ).

cnf(c_19107,plain,
    ( ~ product(e_2,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19098,c_40]) ).

cnf(c_20511,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19107,c_7814]) ).

cnf(c_20512,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20511]) ).

cnf(c_20513,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20512]) ).

cnf(c_20514,plain,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20513]) ).

cnf(c_19108,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20514]) ).

cnf(c_19114,plain,
    ( product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19108,c_172]) ).

cnf(c_19124,plain,
    ( ~ product(e_2,e_1,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19114,c_37]) ).

cnf(c_20515,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19124,c_19108]) ).

cnf(c_20516,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20515]) ).

cnf(c_20517,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20516]) ).

cnf(c_20518,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20517]) ).

cnf(c_20519,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20518]) ).

cnf(c_19125,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20519]) ).

cnf(c_19137,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19125,c_27]) ).

cnf(c_20520,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19137,c_15980]) ).

cnf(c_20521,plain,
    ( cycle(e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20520]) ).

cnf(c_19138,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20521]) ).

cnf(c_20522,plain,
    ( product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19138,c_17169]) ).

cnf(c_20523,plain,
    ( product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | cycle(e_2,e_2)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20522]) ).

cnf(c_19139,plain,
    ( product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20523]) ).

cnf(c_19194,plain,
    ( ~ product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19139,c_45]) ).

cnf(c_20524,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19194,c_17882]) ).

cnf(c_20525,plain,
    ( cycle(e_2,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20524]) ).

cnf(c_19201,plain,
    ( product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20525]) ).

cnf(c_19222,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19201,c_43]) ).

cnf(c_20526,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19222,c_15980]) ).

cnf(c_20527,plain,
    ( cycle(e_2,e_2)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20526]) ).

cnf(c_19223,plain,
    ( product(e_1,e_4,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20527]) ).

cnf(c_19238,plain,
    ( ~ product(e_1,e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19223,c_42]) ).

cnf(c_20528,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19238,c_17882]) ).

cnf(c_20529,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20528]) ).

cnf(c_19239,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20529]) ).

cnf(c_20530,plain,
    ( cycle(e_4,e_1)
    | ~ greater(e_2,e_0)
    | ~ greater(e_4,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19239,c_710]) ).

cnf(c_20531,plain,
    ( cycle(e_4,e_1)
    | ~ greater(e_2,e_0)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_122,c_20530]) ).

cnf(c_19257,plain,
    ( cycle(e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_131,c_20531]) ).

cnf(c_19262,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19239,c_537]) ).

cnf(c_19280,plain,
    ( ~ cycle(e_3,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19257,c_628]) ).

cnf(c_19281,plain,
    ( ~ cycle(e_3,e_3)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19257,c_521]) ).

cnf(c_19282,plain,
    ( ~ cycle(e_3,e_4)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19257,c_498]) ).

cnf(c_20532,plain,
    ( cycle(e_2,e_1)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19262,c_19282]) ).

cnf(c_19294,plain,
    ( cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20532]) ).

cnf(c_20533,plain,
    ( cycle(e_2,e_1)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19294,c_19281]) ).

cnf(c_19295,plain,
    ( cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20533]) ).

cnf(c_19302,plain,
    ( ~ cycle(e_2,e_2)
    | cycle(e_3,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19295,c_252]) ).

cnf(c_20534,plain,
    ( cycle(e_2,e_1)
    | cycle(e_3,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19302,c_19239]) ).

cnf(c_19309,plain,
    ( cycle(e_3,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_20534]) ).

cnf(c_20535,plain,
    ( cycle(e_2,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_19309,c_19280]) ).

cnf(c_19310,plain,
    cycle(e_2,e_1),
    inference(copy,[status(thm)],[c_20535]) ).

cnf(c_19311,plain,
    ~ cycle(e_3,e_4),
    inference(resolve,[status(thm)],[c_19310,c_666]) ).

cnf(c_19312,plain,
    ~ cycle(e_3,e_3),
    inference(resolve,[status(thm)],[c_19310,c_659]) ).

cnf(c_19313,plain,
    ~ cycle(e_3,e_1),
    inference(resolve,[status(thm)],[c_19310,c_627]) ).

cnf(c_19318,plain,
    ~ cycle(e_1,e_1),
    inference(resolve,[status(thm)],[c_19310,c_257]) ).

cnf(c_19319,plain,
    ~ cycle(e_3,e_2),
    inference(resolve,[status(thm)],[c_19310,c_256]) ).

cnf(c_19320,plain,
    ~ cycle(e_1,e_3),
    inference(resolve,[status(thm)],[c_19310,c_248]) ).

cnf(c_19321,plain,
    ~ cycle(e_1,e_4),
    inference(resolve,[status(thm)],[c_19310,c_244]) ).

cnf(c_20536,plain,
    ( ~ product(e_2,e_1,e_2)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19313,c_1196]) ).

cnf(c_20537,plain,
    ( ~ product(e_2,e_1,e_2)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19319,c_20536]) ).

cnf(c_20538,plain,
    ( ~ product(e_2,e_1,e_2)
    | cycle(e_3,e_4)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19312,c_20537]) ).

cnf(c_19576,plain,
    ( ~ product(e_2,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19311,c_20538]) ).

cnf(c_20539,plain,
    ( product(A,e_3,e_2)
    | ~ product(A,e_1,e_3)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19313,c_1191]) ).

cnf(c_20540,plain,
    ( product(A,e_3,e_2)
    | ~ product(A,e_1,e_3)
    | cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19319,c_20539]) ).

cnf(c_20541,plain,
    ( product(A,e_3,e_2)
    | ~ product(A,e_1,e_3)
    | cycle(e_3,e_4)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19312,c_20540]) ).

cnf(c_19579,plain,
    ( product(A,e_3,e_2)
    | ~ product(A,e_1,e_3)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19311,c_20541]) ).

cnf(c_20542,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | ~ greater(B,C)
    | ~ greater(e_3,A)
    | ~ cycle(e_4,C)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_19313,c_715]) ).

cnf(c_20543,plain,
    ( cycle(e_3,e_4)
    | cycle(e_3,e_3)
    | ~ greater(B,C)
    | ~ greater(e_3,A)
    | ~ cycle(e_4,C)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_19319,c_20542]) ).

cnf(c_20544,plain,
    ( cycle(e_3,e_4)
    | ~ greater(B,C)
    | ~ greater(e_3,A)
    | ~ cycle(e_4,C)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_19312,c_20543]) ).

cnf(c_19596,plain,
    ( ~ greater(B,C)
    | ~ greater(e_3,A)
    | ~ cycle(e_4,C)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_19311,c_20544]) ).

cnf(c_20545,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_3)
    | cycle(e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19318,c_1150]) ).

cnf(c_20546,plain,
    ( cycle(e_1,e_4)
    | cycle(e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19320,c_20545]) ).

cnf(c_19649,plain,
    ( cycle(e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19321,c_20546]) ).

cnf(c_20547,plain,
    ( ~ greater(e_1,e_0)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19310,c_1014]) ).

cnf(c_19660,plain,
    ( product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_132,c_20547]) ).

cnf(c_20548,plain,
    ( cycle(e_4,e_1)
    | ~ greater(e_1,e_0)
    | ~ greater(e_4,e_2) ),
    inference(resolve,[status(thm)],[c_19310,c_710]) ).

cnf(c_20549,plain,
    ( cycle(e_4,e_1)
    | ~ greater(e_1,e_0) ),
    inference(resolve,[status(thm)],[c_122,c_20548]) ).

cnf(c_19663,plain,
    cycle(e_4,e_1),
    inference(resolve,[status(thm)],[c_132,c_20549]) ).

cnf(c_19698,plain,
    ( ~ greater(B,e_1)
    | ~ greater(e_3,A)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_19596,c_19663]) ).

cnf(c_20550,plain,
    ( ~ next(e_2,e_3)
    | ~ greater(A,e_0)
    | ~ cycle(e_2,A)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19660,c_69]) ).

cnf(c_19719,plain,
    ( ~ greater(A,e_0)
    | ~ cycle(e_2,A)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_135,c_20550]) ).

cnf(c_20551,plain,
    ( ~ greater(e_1,e_0)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19719,c_19310]) ).

cnf(c_19768,plain,
    ( product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_132,c_20551]) ).

cnf(c_19769,plain,
    ( product(e_2,e_3,e_2)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19768,c_19579]) ).

cnf(c_19794,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19769,c_28]) ).

cnf(c_19816,plain,
    ( cycle(e_1,e_2)
    | product(e_2,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19794,c_19649]) ).

cnf(c_19826,plain,
    ( product(e_2,e_2,e_2)
    | cycle(e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19816,c_172]) ).

cnf(c_19830,plain,
    ( ~ product(e_2,e_2,e_2)
    | cycle(e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19816,c_39]) ).

cnf(c_20552,plain,
    ( cycle(e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19830,c_19826]) ).

cnf(c_20553,plain,
    ( cycle(e_1,e_2)
    | product(e_2,e_1,e_2)
    | cycle(e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20552]) ).

cnf(c_20554,plain,
    ( cycle(e_1,e_2)
    | cycle(e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20553]) ).

cnf(c_19837,plain,
    ( cycle(e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20554]) ).

cnf(c_19839,plain,
    ( product(e_3,e_1,e_1)
    | cycle(e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19837,c_19576]) ).

cnf(c_19863,plain,
    ( ~ product(e_1,e_1,e_1)
    | cycle(e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19839,c_28]) ).

cnf(c_20555,plain,
    ( cycle(e_1,e_2)
    | cycle(e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_19863,c_19649]) ).

cnf(c_19870,plain,
    ( cycle(e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_20555]) ).

cnf(c_19882,plain,
    ( ~ product(e_1,e_1,e_1)
    | cycle(e_1,e_2) ),
    inference(resolve,[status(thm)],[c_19870,c_27]) ).

cnf(c_20556,plain,
    ( cycle(e_1,e_2)
    | cycle(e_1,e_2) ),
    inference(resolve,[status(thm)],[c_19882,c_19649]) ).

cnf(c_19883,plain,
    cycle(e_1,e_2),
    inference(copy,[status(thm)],[c_20556]) ).

cnf(c_20557,plain,
    ( ~ greater(e_2,e_1)
    | ~ greater(e_3,e_1) ),
    inference(resolve,[status(thm)],[c_19883,c_19698]) ).

cnf(c_20558,plain,
    ~ greater(e_2,e_1),
    inference(resolve,[status(thm)],[c_126,c_20557]) ).

cnf(c_19893,plain,
    $false,
    inference(resolve,[status(thm)],[c_127,c_20558]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP128-3.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n009.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Fri Sep 25 14:28:14 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.14/0.37  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.37  % Process 1811830 was started by sandbox on n009,
% 0.14/0.37  % Fri Sep 25 14:28:14 2026
% 0.14/0.37  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.38  
% 0.14/0.38  % From the command line: assign(max_seconds, 300).
% 177.80/24.10  
% 177.80/24.10  % given #500 (W,wt=17): 232 -cycle(A,e_1) | -cycle(e_1,e_0) | -cycle(e_2,A) | -greater(e_1,A).  [factor(229,d,e)].
% 177.80/24.10  
% 177.80/24.10  % given #1000 (T,wt=29): 1441 product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | product(e_1,e_5,e_1) | product(e_1,e_5,e_2) | product(e_1,e_5,e_3) | -product(e_2,e_3,e_3).  [resolve(1436,c,45,a)].
% 177.80/24.10  
% 177.80/24.10  % given #1500 (W,wt=33): 2209 product(e_1,e_5,e_1) | product(e_1,e_5,e_2) | product(e_1,e_5,e_3) | product(e_1,e_4,e_3) | product(e_3,e_5,e_1) | product(e_3,e_3,e_3) | -product(e_4,e_1,e_3).  [resolve(2075,g,52,a)].
% 177.80/24.10  
% 177.80/24.10  % given #2000 (T,wt=32): 3371 product(e_1,e_5,e_1) | product(e_1,e_5,e_2) | product(e_1,e_5,e_3) | cycle(e_4,e_1) | product(e_1,e_4,e_2) | product(e_2,e_4,e_1) | -product(e_2,e_3,e_2).  [resolve(3346,f,42,a)].
% 177.80/24.10  
% 177.80/24.10  % given #2500 (T,wt=28): 4786 product(e_1,e_5,e_1) | product(e_1,e_5,e_2) | cycle(e_4,e_1) | product(e_1,e_3,e_4) | product(e_1,e_3,e_2) | -product(e_3,e_1,e_3).  [resolve(4772,f,38,a)].
% 177.80/24.10  
% 177.80/24.10  % given #3000 (W,wt=34): 5866 product(e_1,e_5,e_1) | product(e_1,e_5,e_2) | cycle(e_4,e_1) | product(e_2,e_5,e_1) | product(e_2,e_5,e_2) | product(e_2,e_5,e_3) | -cycle(e_4,A) | -greater(A,e_0).  [resolve(5856,g,76,b),unit_del(i,133)].
% 177.80/24.10  
% 177.80/24.10  % given #3500 (T,wt=23): 7729 cycle(e_2,e_1) | cycle(e_2,e_2) | cycle(e_3,e_1) | cycle(e_3,e_2) | cycle(e_3,e_3) | cycle(e_3,e_4).  [resolve(7707,c,510,a)].
% 177.80/24.10  
% 177.80/24.10  % given #4000 (T,wt=37): 7508 product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_1,e_3) | product(e_2,e_1,e_4) | product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | -product(e_4,e_4,e_3).  [factor(7502,g,i)].
% 177.80/24.10  
% 177.80/24.10  % given #4500 (W,wt=33): 10497 product(e_4,e_3,e_1) | product(e_4,e_3,e_2) | product(e_4,e_2,e_1) | product(e_4,e_2,e_2) | product(e_4,e_2,e_3) | product(e_4,e_2,e_4) | -product(e_3,e_3,e_3).  [resolve(10483,c,32,a)].
% 177.80/24.10  
% 177.80/24.10  % given #5000 (T,wt=31): 12254 product(e_3,e_1,e_1) | cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_1,e_1) | product(e_2,e_1,e_2) | product(e_2,e_3,e_4) | -product(e_3,e_3,e_2).  [resolve(12207,g,49,a)].
% 177.80/24.10  
% 177.80/24.10  % given #5500 (T,wt=37): 13460 product(e_2,e_4,e_1) | product(e_2,e_4,e_2) | product(e_2,e_4,e_3) | product(e_2,e_4,e_4) | product(e_2,e_5,e_4) | product(e_2,e_5,e_3) | product(e_2,e_5,e_1) | -product(e_5,e_5,e_4).  [resolve(11585,h,56,a)].
% 177.80/24.10  
% 177.80/24.10  % given #6000 (W,wt=38): 16420 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_2,e_5,e_1) | product(e_2,e_4,e_3) | cycle(e_3,e_1) | product(e_1,e_5,e_1) | product(e_1,e_5,e_2) | product(e_1,e_4,e_2) | -product(e_2,e_2,e_2).  [resolve(16366,d,44,a)].
% 177.80/24.10  
% 177.80/24.10  % given #6500 (T,wt=35): 18304 cycle(e_2,e_1) | cycle(e_2,e_2) | product(e_1,e_4,e_3) | product(e_1,e_4,e_2) | product(e_1,e_5,e_4) | product(e_1,e_5,e_3) | product(e_1,e_5,e_2) | -product(e_5,e_1,e_1).  [resolve(18140,e,40,a)].
% 177.80/24.10  
% 177.80/24.10  % SZS status Unsatisfiable for theBenchmark
% 177.80/24.10  
% 177.80/24.10  % Proof 1 at 6.97 (+ 0.46) seconds.
% 177.80/24.10  % Length of proof is 571.
% 177.80/24.10  % Level of proof is 151.
% 177.80/24.10  % Maximum clause weight is 39.000.
% 177.80/24.10  % Given clauses 6903.
% 177.80/24.10  
% 177.80/24.10  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------