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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : GRP129-3.004 : 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 : n015.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 07:27:53 AM UTC 2026

% Result   : Unsatisfiable 69.84s 15.20s
% Output   : CNFRefutation 69.84s
% 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_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_2_is_not_e_1,axiom,
    ~ equalish(e_2,e_1),
    file('theBenchmark.p',e_2_is_not_e_1) ).

cnf(c_7,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_8,plain,
    ~ equalish(e_2,e_3),
    inference(clausify,[status(thm)],[e_2_is_not_e_3]) ).

fof(e_2_is_not_e_4,axiom,
    ~ equalish(e_2,e_4),
    file('theBenchmark.p',e_2_is_not_e_4) ).

cnf(c_9,plain,
    ~ equalish(e_2,e_4),
    inference(clausify,[status(thm)],[e_2_is_not_e_4]) ).

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

cnf(c_10,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_11,plain,
    ~ equalish(e_3,e_2),
    inference(clausify,[status(thm)],[e_3_is_not_e_2]) ).

fof(e_3_is_not_e_4,axiom,
    ~ equalish(e_3,e_4),
    file('theBenchmark.p',e_3_is_not_e_4) ).

cnf(c_12,plain,
    ~ equalish(e_3,e_4),
    inference(clausify,[status(thm)],[e_3_is_not_e_4]) ).

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

cnf(c_13,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_14,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_15,plain,
    ~ equalish(e_4,e_3),
    inference(clausify,[status(thm)],[e_4_is_not_e_3]) ).

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_16,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_17,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_18,plain,
    ( equalish(A,D)
    | ~ product(D,B,C)
    | ~ product(A,B,C) ),
    inference(clausify,[status(thm)],[product_left_cancellation]) ).

cnf(c_19,plain,
    ( ~ product(e_1,A,B)
    | ~ product(e_2,A,B) ),
    inference(resolve,[status(thm)],[c_18,c_7]) ).

cnf(c_20,plain,
    ( ~ product(e_1,A,B)
    | ~ product(e_3,A,B) ),
    inference(resolve,[status(thm)],[c_18,c_10]) ).

cnf(c_21,plain,
    ( ~ product(e_2,A,B)
    | ~ product(e_3,A,B) ),
    inference(resolve,[status(thm)],[c_18,c_11]) ).

cnf(c_22,plain,
    ( ~ product(e_1,A,B)
    | ~ product(e_4,A,B) ),
    inference(resolve,[status(thm)],[c_18,c_13]) ).

cnf(c_23,plain,
    ( ~ product(e_2,A,B)
    | ~ product(e_4,A,B) ),
    inference(resolve,[status(thm)],[c_18,c_14]) ).

cnf(c_24,plain,
    ( ~ product(e_3,A,B)
    | ~ product(e_4,A,B) ),
    inference(resolve,[status(thm)],[c_18,c_15]) ).

cnf(c_25,plain,
    ( ~ product(A,e_1,B)
    | ~ product(A,e_2,B) ),
    inference(resolve,[status(thm)],[c_17,c_7]) ).

cnf(c_26,plain,
    ( ~ product(A,e_1,B)
    | ~ product(A,e_3,B) ),
    inference(resolve,[status(thm)],[c_17,c_10]) ).

cnf(c_27,plain,
    ( ~ product(A,e_2,B)
    | ~ product(A,e_3,B) ),
    inference(resolve,[status(thm)],[c_17,c_11]) ).

cnf(c_28,plain,
    ( ~ product(A,e_1,B)
    | ~ product(A,e_4,B) ),
    inference(resolve,[status(thm)],[c_17,c_13]) ).

cnf(c_29,plain,
    ( ~ product(A,e_2,B)
    | ~ product(A,e_4,B) ),
    inference(resolve,[status(thm)],[c_17,c_14]) ).

cnf(c_30,plain,
    ( ~ product(A,e_3,B)
    | ~ product(A,e_4,B) ),
    inference(resolve,[status(thm)],[c_17,c_15]) ).

cnf(c_31,plain,
    ( ~ product(A,B,e_1)
    | ~ product(A,B,e_2) ),
    inference(resolve,[status(thm)],[c_16,c_7]) ).

cnf(c_32,plain,
    ( ~ product(A,B,e_1)
    | ~ product(A,B,e_3) ),
    inference(resolve,[status(thm)],[c_16,c_10]) ).

cnf(c_33,plain,
    ( ~ product(A,B,e_2)
    | ~ product(A,B,e_3) ),
    inference(resolve,[status(thm)],[c_16,c_11]) ).

cnf(c_36,plain,
    ( ~ product(A,B,e_3)
    | ~ product(A,B,e_4) ),
    inference(resolve,[status(thm)],[c_16,c_15]) ).

cnf(c_38,plain,
    ( ~ next(A,e_3)
    | ~ greater(B,e_0)
    | ~ product(A,e_1,e_4)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_15,c_2]) ).

cnf(c_45,plain,
    ( ~ next(A,e_4)
    | ~ greater(B,e_0)
    | ~ product(A,e_1,e_3)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_12,c_2]) ).

cnf(c_46,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_11,c_3]) ).

cnf(c_48,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_10,c_3]) ).

cnf(c_52,plain,
    ( ~ next(A,e_4)
    | ~ greater(B,e_0)
    | ~ product(A,e_1,e_2)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_9,c_2]) ).

cnf(c_55,plain,
    ( ~ next(A,e_3)
    | ~ greater(B,e_0)
    | ~ product(A,e_1,e_2)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_8,c_2]) ).

cnf(c_56,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_7,c_3]) ).

cnf(c_60,plain,
    ( ~ next(A,e_4)
    | ~ greater(B,e_0)
    | ~ product(A,e_1,e_1)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_6,c_2]) ).

cnf(c_65,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_2,VAR_0,VAR_3)
      | ~ product(VAR_1,VAR_2,VAR_3)
      | ~ product(VAR_0,VAR_1,VAR_2) ),
    file('theBenchmark.p',qg3) ).

cnf(c_67,plain,
    ( product(C,A,D)
    | ~ product(B,C,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_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_68,plain,
    ( 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_4,axiom,
    group_element(e_4),
    file('theBenchmark.p',element_4) ).

cnf(c_69,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_70,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_71,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_72,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_73,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_74,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_4,e_0),
    file('theBenchmark.p',cycle3) ).

cnf(c_75,plain,
    cycle(e_4,e_0),
    inference(clausify,[status(thm)],[cycle3]) ).

fof(cycle2,axiom,
    ! [VAR_0] :
      ( 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_76,plain,
    ( 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_4_greater_e_2,axiom,
    greater(e_4,e_2),
    file('theBenchmark.p',e_4_greater_e_2) ).

cnf(c_78,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_79,plain,
    greater(e_3,e_2),
    inference(clausify,[status(thm)],[e_3_greater_e_2]) ).

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

cnf(c_84,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_85,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_86,plain,
    greater(e_1,e_0),
    inference(clausify,[status(thm)],[e_1_greater_e_0]) ).

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

cnf(c_87,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_88,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_89,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_90,plain,
    next(e_0,e_1),
    inference(clausify,[status(thm)],[e_0_then_e_1]) ).

cnf(c_112,plain,
    ( 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_68]) ).

cnf(c_120,plain,
    ( ~ next(C,e_1)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_3) ),
    inference(resolve,[status(thm)],[c_84,c_48]) ).

cnf(c_121,plain,
    ( ~ next(C,e_2)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_3) ),
    inference(resolve,[status(thm)],[c_84,c_46]) ).

cnf(c_123,plain,
    ( ~ next(C,e_1)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_2) ),
    inference(resolve,[status(thm)],[c_85,c_56]) ).

cnf(c_126,plain,
    ( ~ next(C,e_2)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_1) ),
    inference(resolve,[status(thm)],[c_86,c_65]) ).

cnf(c_134,plain,
    ( product(A,e_4,e_4)
    | product(A,e_4,e_3)
    | product(A,e_4,e_2)
    | product(A,e_4,e_1)
    | ~ group_element(A) ),
    inference(resolve,[status(thm)],[c_69,c_68]) ).

cnf(c_135,plain,
    ( 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_69,c_68]) ).

cnf(c_136,plain,
    ( product(A,e_3,e_4)
    | product(A,e_3,e_3)
    | product(A,e_3,e_2)
    | product(A,e_3,e_1)
    | ~ group_element(A) ),
    inference(resolve,[status(thm)],[c_70,c_68]) ).

cnf(c_137,plain,
    ( 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_70,c_68]) ).

cnf(c_138,plain,
    ( product(A,e_2,e_4)
    | product(A,e_2,e_3)
    | product(A,e_2,e_2)
    | product(A,e_2,e_1)
    | ~ group_element(A) ),
    inference(resolve,[status(thm)],[c_71,c_68]) ).

cnf(c_139,plain,
    ( 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_71,c_68]) ).

cnf(c_143,plain,
    ( 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_76,c_71]) ).

cnf(c_144,plain,
    ( 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_76,c_70]) ).

cnf(c_145,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_87,c_74]) ).

cnf(c_174,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) ),
    inference(resolve,[status(thm)],[c_112,c_72]) ).

cnf(c_175,plain,
    ( product(e_2,e_2,e_4)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1) ),
    inference(resolve,[status(thm)],[c_112,c_71]) ).

cnf(c_176,plain,
    ( product(e_3,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_112,c_70]) ).

cnf(c_177,plain,
    ( product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_112,c_69]) ).

cnf(c_11730,plain,
    ( ~ next(e_0,e_1)
    | ~ next(A,e_4)
    | ~ cycle(A,e_3) ),
    inference(resolve,[status(thm)],[c_120,c_75]) ).

cnf(c_11731,plain,
    ( ~ next(e_0,e_1)
    | ~ cycle(e_3,e_3) ),
    inference(resolve,[status(thm)],[c_11730,c_87]) ).

cnf(c_197,plain,
    ~ cycle(e_3,e_3),
    inference(resolve,[status(thm)],[c_11731,c_90]) ).

cnf(c_198,plain,
    ( cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_3,e_0) ),
    inference(resolve,[status(thm)],[c_197,c_144]) ).

cnf(c_201,plain,
    ( ~ next(A,e_2)
    | ~ cycle(e_3,A)
    | ~ cycle(e_2,e_3) ),
    inference(resolve,[status(thm)],[c_121,c_88]) ).

cnf(c_11732,plain,
    ( ~ next(e_0,e_1)
    | ~ next(A,e_4)
    | ~ cycle(A,e_2) ),
    inference(resolve,[status(thm)],[c_123,c_75]) ).

cnf(c_11733,plain,
    ( ~ next(e_0,e_1)
    | ~ cycle(e_3,e_2) ),
    inference(resolve,[status(thm)],[c_11732,c_87]) ).

cnf(c_212,plain,
    ~ cycle(e_3,e_2),
    inference(resolve,[status(thm)],[c_11733,c_90]) ).

cnf(c_213,plain,
    ( cycle(e_3,e_1)
    | cycle(e_3,e_0) ),
    inference(resolve,[status(thm)],[c_212,c_198]) ).

cnf(c_224,plain,
    ( ~ next(A,e_2)
    | ~ cycle(e_3,A)
    | ~ cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_126,c_88]) ).

cnf(c_237,plain,
    ( product(e_1,e_4,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_134,c_72]) ).

cnf(c_238,plain,
    ( product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_134,c_71]) ).

cnf(c_239,plain,
    ( product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_134,c_70]) ).

cnf(c_242,plain,
    ( product(e_4,e_1,A)
    | ~ product(e_1,e_4,A)
    | 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_174,c_67]) ).

cnf(c_245,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) ),
    inference(resolve,[status(thm)],[c_135,c_72]) ).

cnf(c_250,plain,
    ( product(e_4,e_2,A)
    | ~ product(e_2,e_4,A)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1) ),
    inference(resolve,[status(thm)],[c_175,c_67]) ).

cnf(c_258,plain,
    ( ~ product(e_1,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_176,c_20]) ).

cnf(c_263,plain,
    ( ~ product(e_3,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_177,c_24]) ).

cnf(c_264,plain,
    ( ~ product(e_2,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_177,c_23]) ).

cnf(c_265,plain,
    ( ~ product(e_1,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_177,c_22]) ).

cnf(c_266,plain,
    ( product(e_1,e_3,e_4)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_136,c_72]) ).

cnf(c_267,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_136,c_71]) ).

cnf(c_269,plain,
    ( product(e_4,e_1,A)
    | ~ product(e_4,e_4,A)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_237,c_67]) ).

cnf(c_272,plain,
    ( ~ product(e_1,e_1,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_237,c_28]) ).

cnf(c_274,plain,
    ( product(e_4,e_2,A)
    | ~ product(e_4,e_4,A)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_238,c_67]) ).

cnf(c_280,plain,
    ( product(e_4,e_3,A)
    | ~ product(e_4,e_4,A)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_239,c_67]) ).

cnf(c_288,plain,
    ( product(e_4,e_4,A)
    | ~ product(e_1,e_4,A)
    | 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_245,c_67]) ).

cnf(c_295,plain,
    ( 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_137,c_72]) ).

cnf(c_307,plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1) ),
    inference(resolve,[status(thm)],[c_138,c_72]) ).

cnf(c_316,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_139,c_72]) ).

cnf(c_323,plain,
    ( product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_263,c_239]) ).

cnf(c_324,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_264,c_238]) ).

cnf(c_327,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_265,c_237]) ).

cnf(c_328,plain,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_266,c_258]) ).

cnf(c_329,plain,
    ( product(e_3,A,e_4)
    | ~ product(A,e_1,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_266,c_67]) ).

cnf(c_330,plain,
    ( product(e_4,e_1,A)
    | ~ product(e_3,e_4,A)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_266,c_67]) ).

cnf(c_332,plain,
    ( ~ product(e_1,e_1,e_4)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_266,c_26]) ).

cnf(c_334,plain,
    ( product(e_3,A,e_4)
    | ~ product(A,e_2,e_3)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_267,c_67]) ).

cnf(c_335,plain,
    ( product(e_4,e_2,A)
    | ~ product(e_3,e_4,A)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_267,c_67]) ).

cnf(c_338,plain,
    ( ~ product(e_1,e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_267,c_19]) ).

cnf(c_342,plain,
    ( ~ greater(B,e_0)
    | ~ greater(e_3,A)
    | ~ cycle(e_3,e_0)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_145,c_75]) ).

cnf(c_348,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_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_272,c_174]) ).

cnf(c_350,plain,
    ( ~ cycle(e_3,e_1)
    | ~ cycle(e_2,e_3) ),
    inference(resolve,[status(thm)],[c_201,c_89]) ).

cnf(c_386,plain,
    ( product(e_4,e_3,A)
    | ~ product(e_1,e_4,A)
    | 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_295,c_67]) ).

cnf(c_391,plain,
    ( ~ product(e_1,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_295,c_20]) ).

cnf(c_421,plain,
    ( ~ cycle(e_3,e_1)
    | ~ cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_224,c_89]) ).

cnf(c_426,plain,
    ( product(e_2,A,e_4)
    | ~ product(A,e_1,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1) ),
    inference(resolve,[status(thm)],[c_307,c_67]) ).

cnf(c_428,plain,
    ( ~ product(e_1,e_1,e_4)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1) ),
    inference(resolve,[status(thm)],[c_307,c_25]) ).

cnf(c_11734,plain,
    ( ~ greater(e_4,e_2)
    | ~ cycle(e_2,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_316,c_73]) ).

cnf(c_439,plain,
    ( ~ cycle(e_2,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_78,c_11734]) ).

cnf(c_11735,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_316,c_38]) ).

cnf(c_444,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_88,c_11735]) ).

cnf(c_445,plain,
    ( ~ product(e_1,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_316,c_19]) ).

cnf(c_448,plain,
    ( 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_439,c_143]) ).

cnf(c_450,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_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_332,c_174]) ).

cnf(c_463,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_338,c_266]) ).

cnf(c_465,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,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_391,c_174]) ).

cnf(c_473,plain,
    ( cycle(e_3,e_1)
    | ~ greater(B,e_0)
    | ~ greater(e_3,A)
    | ~ cycle(A,B) ),
    inference(resolve,[status(thm)],[c_342,c_213]) ).

cnf(c_478,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_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1) ),
    inference(resolve,[status(thm)],[c_428,c_174]) ).

cnf(c_479,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_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_445,c_174]) ).

cnf(c_11736,plain,
    ( product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_323,c_280]) ).

cnf(c_11737,plain,
    ( product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11736]) ).

cnf(c_11738,plain,
    ( product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11737]) ).

cnf(c_550,plain,
    ( product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11738]) ).

cnf(c_553,plain,
    ( ~ product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_323,c_30]) ).

cnf(c_11739,plain,
    ( product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_324,c_274]) ).

cnf(c_11740,plain,
    ( product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11739]) ).

cnf(c_11741,plain,
    ( product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11740]) ).

cnf(c_560,plain,
    ( product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11741]) ).

cnf(c_564,plain,
    ( ~ product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_324,c_29]) ).

cnf(c_11742,plain,
    ( ~ greater(e_3,e_2)
    | ~ cycle(e_2,e_0)
    | 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_448,c_73]) ).

cnf(c_572,plain,
    ( ~ cycle(e_2,e_0)
    | 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_79,c_11742]) ).

cnf(c_11743,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)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_572,c_143]) ).

cnf(c_11744,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)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(copy,[status(thm)],[c_11743]) ).

cnf(c_11745,plain,
    ( cycle(e_2,e_3)
    | 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_11744]) ).

cnf(c_579,plain,
    ( 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_11745]) ).

cnf(c_11746,plain,
    ( product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_327,c_269]) ).

cnf(c_11747,plain,
    ( product(e_4,e_1,e_3)
    | 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_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11746]) ).

cnf(c_11748,plain,
    ( product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11747]) ).

cnf(c_580,plain,
    ( product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11748]) ).

cnf(c_585,plain,
    ( ~ product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_327,c_28]) ).

cnf(c_588,plain,
    ( product(e_2,e_2,e_4)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | 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_579,c_426]) ).

cnf(c_591,plain,
    ( product(e_2,e_2,A)
    | ~ product(e_1,e_2,A)
    | 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_579,c_67]) ).

cnf(c_594,plain,
    ( ~ product(e_1,e_1,e_2)
    | 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_579,c_19]) ).

cnf(c_599,plain,
    ( ~ product(e_2,e_3,e_3)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_328,c_21]) ).

cnf(c_11749,plain,
    ( product(e_4,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)
    | 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_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_348,c_242]) ).

cnf(c_11750,plain,
    ( product(e_4,e_1,e_3)
    | 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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11749]) ).

cnf(c_11751,plain,
    ( product(e_4,e_1,e_3)
    | 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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11750]) ).

cnf(c_613,plain,
    ( product(e_4,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11751]) ).

cnf(c_617,plain,
    ( ~ product(e_1,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_348,c_29]) ).

cnf(c_814,plain,
    ( ~ product(e_1,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)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_450,c_27]) ).

cnf(c_826,plain,
    ( product(e_3,e_2,A)
    | ~ product(e_3,e_3,A)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_463,c_67]) ).

cnf(c_838,plain,
    ( product(e_1,A,e_3)
    | ~ product(A,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_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_465,c_67]) ).

cnf(c_844,plain,
    ( ~ product(e_1,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_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(factor,[status(thm)],[c_838]) ).

cnf(c_866,plain,
    ( product(e_1,A,e_3)
    | ~ product(A,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_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_479,c_67]) ).

cnf(c_871,plain,
    ( ~ product(e_1,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_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(factor,[status(thm)],[c_866]) ).

cnf(c_11752,plain,
    ( product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_550,c_280]) ).

cnf(c_11753,plain,
    ( product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11752]) ).

cnf(c_11754,plain,
    ( product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11753]) ).

cnf(c_972,plain,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11754]) ).

cnf(c_975,plain,
    ( ~ product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_550,c_30]) ).

cnf(c_11755,plain,
    ( product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_560,c_274]) ).

cnf(c_11756,plain,
    ( product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11755]) ).

cnf(c_11757,plain,
    ( product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11756]) ).

cnf(c_1006,plain,
    ( product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11757]) ).

cnf(c_1010,plain,
    ( ~ product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_560,c_29]) ).

cnf(c_11758,plain,
    ( product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_580,c_269]) ).

cnf(c_11759,plain,
    ( product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11758]) ).

cnf(c_11760,plain,
    ( product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11759]) ).

cnf(c_1046,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11760]) ).

cnf(c_1051,plain,
    ( ~ product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_580,c_28]) ).

cnf(c_11761,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_599,c_463]) ).

cnf(c_11762,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11761]) ).

cnf(c_11763,plain,
    ( product(e_1,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11762]) ).

cnf(c_1072,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11763]) ).

cnf(c_1088,plain,
    ( ~ product(e_2,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_613,c_23]) ).

cnf(c_11764,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_2,e_2)
    | product(e_1,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_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_617,c_478]) ).

cnf(c_11765,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,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_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11764]) ).

cnf(c_11766,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,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_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11765]) ).

cnf(c_1090,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,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_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11766]) ).

cnf(c_1176,plain,
    ( ~ product(e_1,e_2,e_4)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | 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_588,c_19]) ).

cnf(c_11767,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_2,e_2)
    | product(e_1,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_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_814,c_478]) ).

cnf(c_11768,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,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_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11767]) ).

cnf(c_11769,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,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_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11768]) ).

cnf(c_1364,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,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_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11769]) ).

cnf(c_11770,plain,
    ( product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_972,c_280]) ).

cnf(c_11771,plain,
    ( product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11770]) ).

cnf(c_11772,plain,
    ( product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11771]) ).

cnf(c_1404,plain,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11772]) ).

cnf(c_1407,plain,
    ( ~ product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_972,c_30]) ).

cnf(c_11773,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_1006,c_274]) ).

cnf(c_11774,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11773]) ).

cnf(c_11775,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11774]) ).

cnf(c_1424,plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11775]) ).

cnf(c_1428,plain,
    ( ~ product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_1006,c_29]) ).

cnf(c_11776,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_1046,c_269]) ).

cnf(c_11777,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11776]) ).

cnf(c_11778,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11777]) ).

cnf(c_1442,plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11778]) ).

cnf(c_1447,plain,
    ( ~ product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_1046,c_28]) ).

cnf(c_11779,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_1088,c_479]) ).

cnf(c_11780,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11779]) ).

cnf(c_11781,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11780]) ).

cnf(c_1484,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11781]) ).

cnf(c_11782,plain,
    ( product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_1404,c_553]) ).

cnf(c_11783,plain,
    ( product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11782]) ).

cnf(c_11784,plain,
    ( product(e_3,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11783]) ).

cnf(c_1513,plain,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11784]) ).

cnf(c_11785,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_1424,c_564]) ).

cnf(c_11786,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11785]) ).

cnf(c_11787,plain,
    ( product(e_2,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11786]) ).

cnf(c_1545,plain,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11787]) ).

cnf(c_11788,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_1442,c_585]) ).

cnf(c_11789,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11788]) ).

cnf(c_11790,plain,
    ( product(e_1,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11789]) ).

cnf(c_1559,plain,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11790]) ).

cnf(c_1989,plain,
    ( ~ product(e_1,e_3,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,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_4,e_1) ),
    inference(resolve,[status(thm)],[c_1090,c_30]) ).

cnf(c_11791,plain,
    ( product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_1513,c_280]) ).

cnf(c_11792,plain,
    ( product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11791]) ).

cnf(c_11793,plain,
    ( product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_4,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11792]) ).

cnf(c_11794,plain,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11793]) ).

cnf(c_2371,plain,
    ( product(e_4,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11794]) ).

cnf(c_11795,plain,
    ( product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2371,c_280]) ).

cnf(c_11796,plain,
    ( product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11795]) ).

cnf(c_11797,plain,
    ( product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11796]) ).

cnf(c_11798,plain,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11797]) ).

cnf(c_2373,plain,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11798]) ).

cnf(c_11799,plain,
    ( product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2373,c_975]) ).

cnf(c_11800,plain,
    ( product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11799]) ).

cnf(c_11801,plain,
    ( product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_4,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11800]) ).

cnf(c_2374,plain,
    ( product(e_4,e_3,e_3)
    | product(e_4,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11801]) ).

cnf(c_11802,plain,
    ( product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2374,c_280]) ).

cnf(c_11803,plain,
    ( product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11802]) ).

cnf(c_11804,plain,
    ( product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11803]) ).

cnf(c_11805,plain,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11804]) ).

cnf(c_2426,plain,
    ( product(e_4,e_3,e_3)
    | product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11805]) ).

cnf(c_2437,plain,
    ( ~ product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2426,c_33]) ).

cnf(c_11806,plain,
    ( product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2437,c_2373]) ).

cnf(c_11807,plain,
    ( product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11806]) ).

cnf(c_11808,plain,
    ( product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11807]) ).

cnf(c_11809,plain,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11808]) ).

cnf(c_2444,plain,
    ( product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11809]) ).

cnf(c_11810,plain,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2444,c_1407]) ).

cnf(c_11811,plain,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11810]) ).

cnf(c_11812,plain,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11811]) ).

cnf(c_2455,plain,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11812]) ).

cnf(c_2497,plain,
    ( ~ product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2455,c_32]) ).

cnf(c_11813,plain,
    ( product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2497,c_2444]) ).

cnf(c_11814,plain,
    ( product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11813]) ).

cnf(c_11815,plain,
    ( product(e_3,e_4,e_3)
    | product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11814]) ).

cnf(c_2525,plain,
    ( product(e_4,e_3,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11815]) ).

cnf(c_2544,plain,
    ( ~ product(e_4,e_3,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2525,c_31]) ).

cnf(c_11816,plain,
    ( product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2544,c_2444]) ).

cnf(c_11817,plain,
    ( product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11816]) ).

cnf(c_11818,plain,
    ( product(e_3,e_4,e_3)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11817]) ).

cnf(c_2550,plain,
    ( product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11818]) ).

cnf(c_2558,plain,
    ( product(e_4,e_2,e_3)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2550,c_335]) ).

cnf(c_2559,plain,
    ( product(e_4,e_1,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2550,c_330]) ).

cnf(c_2568,plain,
    ( ~ product(e_1,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2550,c_20]) ).

cnf(c_11819,plain,
    ( product(e_3,e_4,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2558,c_334]) ).

cnf(c_11820,plain,
    ( product(e_3,e_4,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11819]) ).

cnf(c_11821,plain,
    ( product(e_3,e_4,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11820]) ).

cnf(c_2654,plain,
    ( product(e_3,e_4,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11821]) ).

cnf(c_11822,plain,
    ( product(e_3,e_4,e_4)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2559,c_329]) ).

cnf(c_11823,plain,
    ( product(e_3,e_4,e_4)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11822]) ).

cnf(c_11824,plain,
    ( product(e_3,e_4,e_4)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11823]) ).

cnf(c_2664,plain,
    ( product(e_3,e_4,e_4)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11824]) ).

cnf(c_2708,plain,
    ( ~ product(e_3,e_4,e_3)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2654,c_36]) ).

cnf(c_2734,plain,
    ( ~ product(e_3,e_4,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2664,c_36]) ).

cnf(c_11825,plain,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2708,c_2550]) ).

cnf(c_11826,plain,
    ( product(e_3,e_4,e_2)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11825]) ).

cnf(c_2881,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11826]) ).

cnf(c_11827,plain,
    ( product(e_4,e_2,e_2)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2881,c_335]) ).

cnf(c_11828,plain,
    ( product(e_4,e_2,e_2)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11827]) ).

cnf(c_11829,plain,
    ( product(e_4,e_2,e_2)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11828]) ).

cnf(c_2886,plain,
    ( product(e_4,e_2,e_2)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11829]) ).

cnf(c_2888,plain,
    ( product(e_2,e_3,A)
    | ~ product(e_4,e_2,A)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2881,c_67]) ).

cnf(c_2895,plain,
    ( ~ product(e_4,e_2,e_2)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(factor,[status(thm)],[c_2888]) ).

cnf(c_11830,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2895,c_2886]) ).

cnf(c_11831,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11830]) ).

cnf(c_11832,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11831]) ).

cnf(c_11833,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11832]) ).

cnf(c_2923,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11833]) ).

cnf(c_11834,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_2923,c_335]) ).

cnf(c_11835,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11834]) ).

cnf(c_11836,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11835]) ).

cnf(c_2928,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11836]) ).

cnf(c_2935,plain,
    ( ~ product(e_2,e_4,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_2923,c_21]) ).

cnf(c_2948,plain,
    ( product(e_2,A,e_1)
    | ~ product(A,e_4,e_2)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_2928,c_67]) ).

cnf(c_11837,plain,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2734,c_2550]) ).

cnf(c_11838,plain,
    ( product(e_3,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11837]) ).

cnf(c_2996,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11838]) ).

cnf(c_11839,plain,
    ( product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2996,c_330]) ).

cnf(c_11840,plain,
    ( product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11839]) ).

cnf(c_11841,plain,
    ( product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11840]) ).

cnf(c_3002,plain,
    ( product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11841]) ).

cnf(c_3006,plain,
    ( ~ product(e_3,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2996,c_30]) ).

cnf(c_3010,plain,
    ( ~ product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_2996,c_20]) ).

cnf(c_3013,plain,
    ( product(e_1,A,e_2)
    | ~ product(A,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3002,c_67]) ).

cnf(c_11842,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3006,c_1072]) ).

cnf(c_11843,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11842]) ).

cnf(c_11844,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11843]) ).

cnf(c_3023,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11844]) ).

cnf(c_11845,plain,
    ( product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_1545,c_274]) ).

cnf(c_11846,plain,
    ( product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11845]) ).

cnf(c_11847,plain,
    ( product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11846]) ).

cnf(c_11848,plain,
    ( product(e_4,e_2,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11847]) ).

cnf(c_3131,plain,
    ( product(e_4,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11848]) ).

cnf(c_11849,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3131,c_274]) ).

cnf(c_11850,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11849]) ).

cnf(c_11851,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11850]) ).

cnf(c_11852,plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11851]) ).

cnf(c_3143,plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11852]) ).

cnf(c_11853,plain,
    ( product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3143,c_1010]) ).

cnf(c_11854,plain,
    ( product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11853]) ).

cnf(c_11855,plain,
    ( product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11854]) ).

cnf(c_3149,plain,
    ( product(e_4,e_2,e_3)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11855]) ).

cnf(c_11856,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3149,c_274]) ).

cnf(c_11857,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11856]) ).

cnf(c_11858,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11857]) ).

cnf(c_11859,plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11858]) ).

cnf(c_3195,plain,
    ( product(e_4,e_2,e_3)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11859]) ).

cnf(c_3205,plain,
    ( ~ product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3195,c_33]) ).

cnf(c_11860,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3205,c_3143]) ).

cnf(c_11861,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11860]) ).

cnf(c_11862,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11861]) ).

cnf(c_11863,plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11862]) ).

cnf(c_3209,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11863]) ).

cnf(c_11864,plain,
    ( product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3209,c_1428]) ).

cnf(c_11865,plain,
    ( product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11864]) ).

cnf(c_11866,plain,
    ( product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11865]) ).

cnf(c_3222,plain,
    ( product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11866]) ).

cnf(c_3263,plain,
    ( ~ product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3222,c_32]) ).

cnf(c_11867,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3263,c_3209]) ).

cnf(c_11868,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11867]) ).

cnf(c_11869,plain,
    ( product(e_2,e_4,e_3)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11868]) ).

cnf(c_3294,plain,
    ( product(e_4,e_2,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11869]) ).

cnf(c_3303,plain,
    ( ~ product(e_4,e_2,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3294,c_31]) ).

cnf(c_11870,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3303,c_3209]) ).

cnf(c_11871,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11870]) ).

cnf(c_11872,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11871]) ).

cnf(c_3317,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11872]) ).

cnf(c_3339,plain,
    ( ~ product(e_2,e_1,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3317,c_28]) ).

cnf(c_3340,plain,
    ( ~ product(e_1,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3317,c_19]) ).

cnf(c_11873,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | 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_1176,c_307]) ).

cnf(c_11874,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | 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_11873]) ).

cnf(c_11875,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | 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_11874]) ).

cnf(c_3675,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | 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_11875]) ).

cnf(c_3683,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_3675,c_19]) ).

cnf(c_11876,plain,
    ( product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_1559,c_269]) ).

cnf(c_11877,plain,
    ( product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11876]) ).

cnf(c_11878,plain,
    ( product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11877]) ).

cnf(c_11879,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11878]) ).

cnf(c_3703,plain,
    ( product(e_4,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11879]) ).

cnf(c_11880,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3703,c_269]) ).

cnf(c_11881,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11880]) ).

cnf(c_11882,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11881]) ).

cnf(c_11883,plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11882]) ).

cnf(c_3706,plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11883]) ).

cnf(c_11884,plain,
    ( product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3706,c_1051]) ).

cnf(c_11885,plain,
    ( product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11884]) ).

cnf(c_11886,plain,
    ( product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_4,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11885]) ).

cnf(c_3714,plain,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11886]) ).

cnf(c_11887,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3714,c_269]) ).

cnf(c_11888,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11887]) ).

cnf(c_11889,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11888]) ).

cnf(c_11890,plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11889]) ).

cnf(c_3744,plain,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11890]) ).

cnf(c_3760,plain,
    ( ~ product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3744,c_33]) ).

cnf(c_11891,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3760,c_3706]) ).

cnf(c_11892,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11891]) ).

cnf(c_11893,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11892]) ).

cnf(c_11894,plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11893]) ).

cnf(c_3764,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11894]) ).

cnf(c_11895,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3764,c_1447]) ).

cnf(c_11896,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | 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_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11895]) ).

cnf(c_11897,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11896]) ).

cnf(c_3778,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11897]) ).

cnf(c_3809,plain,
    ( ~ product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3778,c_32]) ).

cnf(c_11898,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3809,c_3764]) ).

cnf(c_11899,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11898]) ).

cnf(c_11900,plain,
    ( product(e_1,e_4,e_3)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11899]) ).

cnf(c_3813,plain,
    ( product(e_4,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11900]) ).

cnf(c_3826,plain,
    ( ~ product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3813,c_31]) ).

cnf(c_11901,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3826,c_3764]) ).

cnf(c_11902,plain,
    ( 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_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11901]) ).

cnf(c_11903,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11902]) ).

cnf(c_3829,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11903]) ).

cnf(c_3830,plain,
    ( product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3829,c_3340]) ).

cnf(c_3834,plain,
    ( product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3829,c_2568]) ).

cnf(c_3845,plain,
    ( product(e_4,e_3,e_3)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3829,c_386]) ).

cnf(c_3847,plain,
    ( product(e_4,e_4,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_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3829,c_288]) ).

cnf(c_3849,plain,
    ( product(e_3,e_1,A)
    | ~ product(e_4,e_3,A)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3829,c_67]) ).

cnf(c_3856,plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3830,c_2948]) ).

cnf(c_3869,plain,
    ( product(e_4,e_2,e_2)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3830,c_250]) ).

cnf(c_3871,plain,
    ( product(e_2,e_2,A)
    | ~ product(e_4,e_2,A)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3830,c_67]) ).

cnf(c_3873,plain,
    ( ~ product(e_2,e_2,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3830,c_29]) ).

cnf(c_3874,plain,
    ( ~ product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3830,c_28]) ).

cnf(c_3883,plain,
    ( product(e_2,e_3,A)
    | ~ product(e_4,e_2,A)
    | product(e_3,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3834,c_67]) ).

cnf(c_3887,plain,
    ( ~ product(e_2,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3834,c_21]) ).

cnf(c_11904,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_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3874,c_1484]) ).

cnf(c_11905,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_1,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11904]) ).

cnf(c_3891,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_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11905]) ).

cnf(c_3892,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3874,c_579]) ).

cnf(c_11906,plain,
    ( product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_3,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3887,c_3830]) ).

cnf(c_11907,plain,
    ( product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_3,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11906]) ).

cnf(c_3899,plain,
    ( product(e_2,e_4,e_1)
    | product(e_3,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11907]) ).

cnf(c_3908,plain,
    ( product(e_1,e_3,A)
    | ~ product(e_4,e_1,A)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3899,c_67]) ).

cnf(c_3910,plain,
    ( ~ product(e_3,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3899,c_29]) ).

cnf(c_11908,plain,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3845,c_3849]) ).

cnf(c_11909,plain,
    ( product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11908]) ).

cnf(c_11910,plain,
    ( product(e_3,e_1,e_3)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11909]) ).

cnf(c_3951,plain,
    ( product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11910]) ).

cnf(c_11911,plain,
    ( ~ next(e_3,e_4)
    | ~ greater(A,e_0)
    | ~ cycle(e_3,A)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3951,c_45]) ).

cnf(c_3963,plain,
    ( ~ greater(A,e_0)
    | ~ cycle(e_3,A)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_87,c_11911]) ).

cnf(c_4001,plain,
    ( ~ product(e_1,e_4,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_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3847,c_22]) ).

cnf(c_11912,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,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_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_4001,c_3829]) ).

cnf(c_11913,plain,
    ( product(e_1,e_4,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_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11912]) ).

cnf(c_4077,plain,
    ( 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_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11913]) ).

cnf(c_11914,plain,
    ( product(e_1,e_3,e_3)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_4077,c_3908]) ).

cnf(c_11915,plain,
    ( product(e_1,e_3,e_3)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11914]) ).

cnf(c_4089,plain,
    ( product(e_1,e_3,e_3)
    | product(e_2,e_4,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11915]) ).

cnf(c_11916,plain,
    ( product(e_1,e_3,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_2,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_4089,c_3908]) ).

cnf(c_11917,plain,
    ( product(e_1,e_3,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11916]) ).

cnf(c_11918,plain,
    ( product(e_1,e_3,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_2,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11917]) ).

cnf(c_4151,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11918]) ).

cnf(c_11919,plain,
    ( product(e_1,e_3,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_4151,c_3908]) ).

cnf(c_11920,plain,
    ( product(e_1,e_3,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11919]) ).

cnf(c_11921,plain,
    ( product(e_1,e_3,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11920]) ).

cnf(c_4201,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11921]) ).

cnf(c_4237,plain,
    ( ~ product(e_2,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_4201,c_29]) ).

cnf(c_4262,plain,
    ( ~ product(e_2,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3892,c_29]) ).

cnf(c_11922,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,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_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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_4,e_1) ),
    inference(resolve,[status(thm)],[c_1989,c_1364]) ).

cnf(c_11923,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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_4,e_1) ),
    inference(copy,[status(thm)],[c_11922]) ).

cnf(c_11924,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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_4,e_1) ),
    inference(copy,[status(thm)],[c_11923]) ).

cnf(c_11925,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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_4,e_1) ),
    inference(copy,[status(thm)],[c_11924]) ).

cnf(c_11926,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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_4,e_1) ),
    inference(copy,[status(thm)],[c_11925]) ).

cnf(c_4504,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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_4,e_1) ),
    inference(copy,[status(thm)],[c_11926]) ).

cnf(c_11927,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_3023,c_330]) ).

cnf(c_11928,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11927]) ).

cnf(c_11929,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11928]) ).

cnf(c_4959,plain,
    ( product(e_4,e_1,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11929]) ).

cnf(c_4961,plain,
    ( product(e_1,e_3,A)
    | ~ product(e_4,e_1,A)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_3023,c_67]) ).

cnf(c_4965,plain,
    ( ~ product(e_4,e_1,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(factor,[status(thm)],[c_4961]) ).

cnf(c_11930,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3856,c_2935]) ).

cnf(c_11931,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11930]) ).

cnf(c_11932,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_2,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11931]) ).

cnf(c_5229,plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11932]) ).

cnf(c_5241,plain,
    ( ~ product(e_2,e_2,e_3)
    | product(e_2,e_2,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_5229,c_27]) ).

cnf(c_11933,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3869,c_3871]) ).

cnf(c_11934,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11933]) ).

cnf(c_11935,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11934]) ).

cnf(c_11936,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11935]) ).

cnf(c_5313,plain,
    ( product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11936]) ).

cnf(c_11937,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_5313,c_250]) ).

cnf(c_11938,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11937]) ).

cnf(c_11939,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11938]) ).

cnf(c_5316,plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11939]) ).

cnf(c_5319,plain,
    ( ~ product(e_2,e_3,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_5313,c_30]) ).

cnf(c_11940,plain,
    ( product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_5316,c_3883]) ).

cnf(c_11941,plain,
    ( product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11940]) ).

cnf(c_5322,plain,
    ( product(e_2,e_3,e_1)
    | product(e_3,e_4,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11941]) ).

cnf(c_5360,plain,
    ( ~ product(e_2,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_3891,c_29]) ).

cnf(c_11942,plain,
    ( product(e_4,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_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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_4504,c_242]) ).

cnf(c_11943,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_11942]) ).

cnf(c_11944,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_11943]) ).

cnf(c_5638,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_11944]) ).

cnf(c_5640,plain,
    ( product(e_1,e_1,A)
    | ~ product(e_4,e_1,A)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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_4504,c_67]) ).

cnf(c_5641,plain,
    ( ~ product(e_4,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(factor,[status(thm)],[c_5640]) ).

cnf(c_11945,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_4965,c_4959]) ).

cnf(c_11946,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11945]) ).

cnf(c_11947,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11946]) ).

cnf(c_11948,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11947]) ).

cnf(c_11949,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11948]) ).

cnf(c_11950,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11949]) ).

cnf(c_5833,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11950]) ).

cnf(c_11951,plain,
    ( product(e_3,e_2,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_5833,c_826]) ).

cnf(c_11952,plain,
    ( product(e_3,e_2,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11951]) ).

cnf(c_11953,plain,
    ( product(e_3,e_2,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11952]) ).

cnf(c_11954,plain,
    ( product(e_3,e_2,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11953]) ).

cnf(c_11955,plain,
    ( product(e_3,e_2,e_1)
    | product(e_1,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11954]) ).

cnf(c_5837,plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11955]) ).

cnf(c_5840,plain,
    ( ~ product(e_3,e_2,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_5833,c_27]) ).

cnf(c_11956,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_5840,c_5837]) ).

cnf(c_11957,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11956]) ).

cnf(c_11958,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11957]) ).

cnf(c_11959,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11958]) ).

cnf(c_11960,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11959]) ).

cnf(c_5856,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_11960]) ).

cnf(c_5878,plain,
    ( ~ product(e_2,e_2,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_5856,c_27]) ).

cnf(c_6382,plain,
    ( ~ product(e_2,e_4,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_5322,c_21]) ).

cnf(c_11961,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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_5641,c_5638]) ).

cnf(c_11962,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_11961]) ).

cnf(c_11963,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_11962]) ).

cnf(c_11964,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_11963]) ).

cnf(c_11965,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_11964]) ).

cnf(c_11966,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_11965]) ).

cnf(c_7080,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_11966]) ).

cnf(c_11967,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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_7080,c_844]) ).

cnf(c_11968,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_11967]) ).

cnf(c_11969,plain,
    ( product(e_1,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_11968]) ).

cnf(c_7087,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_11969]) ).

cnf(c_7090,plain,
    ( product(e_1,e_1,A)
    | ~ product(e_3,e_1,A)
    | product(e_1,e_2,e_2)
    | product(e_1,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_7080,c_67]) ).

cnf(c_7091,plain,
    ( ~ product(e_3,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(factor,[status(thm)],[c_7090]) ).

cnf(c_7092,plain,
    ( ~ product(e_3,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,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(factor,[status(thm)],[c_7090]) ).

cnf(c_11970,plain,
    ( product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_6382,c_5313]) ).

cnf(c_11971,plain,
    ( product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11970]) ).

cnf(c_11972,plain,
    ( product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11971]) ).

cnf(c_11973,plain,
    ( product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11972]) ).

cnf(c_11974,plain,
    ( product(e_2,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11973]) ).

cnf(c_7587,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11974]) ).

cnf(c_11975,plain,
    ( product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7587,c_5319]) ).

cnf(c_11976,plain,
    ( product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11975]) ).

cnf(c_11977,plain,
    ( product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11976]) ).

cnf(c_11978,plain,
    ( product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11977]) ).

cnf(c_11979,plain,
    ( product(e_2,e_2,e_3)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11978]) ).

cnf(c_7589,plain,
    ( product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11979]) ).

cnf(c_11980,plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7589,c_5241]) ).

cnf(c_11981,plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11980]) ).

cnf(c_11982,plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11981]) ).

cnf(c_7596,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11982]) ).

cnf(c_7599,plain,
    ( product(e_3,e_2,A)
    | ~ product(e_2,e_3,A)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7589,c_67]) ).

cnf(c_7610,plain,
    ( product(e_2,e_2,A)
    | ~ product(e_3,e_2,A)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7596,c_67]) ).

cnf(c_7614,plain,
    ( ~ product(e_3,e_2,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(factor,[status(thm)],[c_7610]) ).

cnf(c_11983,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_3,e_2,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7599,c_7596]) ).

cnf(c_11984,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_3,e_2,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11983]) ).

cnf(c_11985,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11984]) ).

cnf(c_11986,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_3,e_2,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11985]) ).

cnf(c_7619,plain,
    ( product(e_2,e_3,e_1)
    | product(e_3,e_2,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11986]) ).

cnf(c_11987,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7619,c_7614]) ).

cnf(c_11988,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11987]) ).

cnf(c_11989,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11988]) ).

cnf(c_11990,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11989]) ).

cnf(c_11991,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11990]) ).

cnf(c_7645,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11991]) ).

cnf(c_11992,plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7645,c_7599]) ).

cnf(c_11993,plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11992]) ).

cnf(c_11994,plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11993]) ).

cnf(c_11995,plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11994]) ).

cnf(c_7646,plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11995]) ).

cnf(c_11996,plain,
    ( product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7646,c_3910]) ).

cnf(c_11997,plain,
    ( product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11996]) ).

cnf(c_7664,plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11997]) ).

cnf(c_7685,plain,
    ( ~ product(e_2,e_3,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7664,c_30]) ).

cnf(c_11998,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7685,c_7645]) ).

cnf(c_11999,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11998]) ).

cnf(c_12000,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_11999]) ).

cnf(c_12001,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12000]) ).

cnf(c_7686,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12001]) ).

cnf(c_7687,plain,
    ( product(e_2,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7686,c_5878]) ).

cnf(c_12002,plain,
    ( product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7686,c_3873]) ).

cnf(c_12003,plain,
    ( product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12002]) ).

cnf(c_7688,plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12003]) ).

cnf(c_7690,plain,
    ( ~ product(e_2,e_1,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7686,c_25]) ).

cnf(c_7702,plain,
    ( ~ product(e_2,e_3,e_1)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7688,c_30]) ).

cnf(c_7703,plain,
    ( ~ product(e_2,e_1,e_1)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7688,c_28]) ).

cnf(c_12004,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_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7690,c_1484]) ).

cnf(c_12005,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_1,e_4,e_2)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12004]) ).

cnf(c_7705,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_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12005]) ).

cnf(c_7706,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7690,c_579]) ).

cnf(c_12006,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7706,c_4262]) ).

cnf(c_12007,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12006]) ).

cnf(c_12008,plain,
    ( 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_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12007]) ).

cnf(c_12009,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)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12008]) ).

cnf(c_12010,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)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12009]) ).

cnf(c_12011,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12010]) ).

cnf(c_7775,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12011]) ).

cnf(c_12012,plain,
    ( product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7775,c_7703]) ).

cnf(c_12013,plain,
    ( product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12012]) ).

cnf(c_7776,plain,
    ( product(e_2,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12013]) ).

cnf(c_7795,plain,
    ( ~ product(e_2,e_1,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7776,c_25]) ).

cnf(c_12014,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7795,c_7775]) ).

cnf(c_12015,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12014]) ).

cnf(c_12016,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12015]) ).

cnf(c_12017,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12016]) ).

cnf(c_12018,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12017]) ).

cnf(c_7799,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12018]) ).

cnf(c_7835,plain,
    ( ~ product(e_1,e_2,e_2)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7799,c_29]) ).

cnf(c_12019,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,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_3,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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_7087,c_7092]) ).

cnf(c_12020,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_12019]) ).

cnf(c_12021,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_3,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_12020]) ).

cnf(c_12022,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_3,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_12021]) ).

cnf(c_12023,plain,
    ( product(e_1,e_2,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_12022]) ).

cnf(c_8073,plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_12023]) ).

cnf(c_12024,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,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_2,e_2)
    | product(e_1,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_8073,c_7091]) ).

cnf(c_12025,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_12024]) ).

cnf(c_12026,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_12025]) ).

cnf(c_12027,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_12026]) ).

cnf(c_12028,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_12027]) ).

cnf(c_8076,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,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(copy,[status(thm)],[c_12028]) ).

cnf(c_12029,plain,
    ( product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7687,c_7702]) ).

cnf(c_12030,plain,
    ( product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12029]) ).

cnf(c_12031,plain,
    ( product(e_2,e_2,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12030]) ).

cnf(c_8596,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12031]) ).

cnf(c_12032,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_8596,c_4237]) ).

cnf(c_12033,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12032]) ).

cnf(c_12034,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12033]) ).

cnf(c_12035,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12034]) ).

cnf(c_12036,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12035]) ).

cnf(c_8599,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12036]) ).

cnf(c_12037,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_8599,c_3010]) ).

cnf(c_12038,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_3,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12037]) ).

cnf(c_12039,plain,
    ( product(e_1,e_3,e_3)
    | product(e_3,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12038]) ).

cnf(c_8606,plain,
    ( product(e_3,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12039]) ).

cnf(c_12040,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_8606,c_330]) ).

cnf(c_12041,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12040]) ).

cnf(c_12042,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12041]) ).

cnf(c_8631,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12042]) ).

cnf(c_8633,plain,
    ( product(e_1,e_3,A)
    | ~ product(e_4,e_1,A)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_8606,c_67]) ).

cnf(c_8638,plain,
    ( ~ product(e_4,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(factor,[status(thm)],[c_8633]) ).

cnf(c_12043,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_8638,c_8631]) ).

cnf(c_12044,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12043]) ).

cnf(c_12045,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12044]) ).

cnf(c_12046,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12045]) ).

cnf(c_8684,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12046]) ).

cnf(c_12047,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_8684,c_3013]) ).

cnf(c_12048,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_3,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_12047]) ).

cnf(c_12049,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_12048]) ).

cnf(c_8694,plain,
    ( product(e_1,e_1,e_2)
    | product(e_3,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_12049]) ).

cnf(c_8717,plain,
    ( ~ product(e_1,e_4,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_8694,c_20]) ).

cnf(c_12050,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_8717,c_8684]) ).

cnf(c_12051,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_12050]) ).

cnf(c_12052,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_12051]) ).

cnf(c_8768,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(copy,[status(thm)],[c_12052]) ).

cnf(c_8795,plain,
    ( ~ product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolve,[status(thm)],[c_8768,c_26]) ).

cnf(c_12053,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_1,e_4,e_2)
    | product(e_1,e_4,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_7705,c_5360]) ).

cnf(c_12054,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_1,e_4,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_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12053]) ).

cnf(c_12055,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12054]) ).

cnf(c_12056,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12055]) ).

cnf(c_12057,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12056]) ).

cnf(c_12058,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12057]) ).

cnf(c_9032,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_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12058]) ).

cnf(c_12059,plain,
    ( product(e_2,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,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_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_9032,c_7703]) ).

cnf(c_12060,plain,
    ( product(e_2,e_2,e_1)
    | product(e_1,e_4,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_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12059]) ).

cnf(c_9033,plain,
    ( product(e_2,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_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12060]) ).

cnf(c_9050,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_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_9033,c_25]) ).

cnf(c_12061,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_4,e_2)
    | product(e_1,e_4,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_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_9050,c_9032]) ).

cnf(c_12062,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_4,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_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12061]) ).

cnf(c_12063,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12062]) ).

cnf(c_12064,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12063]) ).

cnf(c_12065,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)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12064]) ).

cnf(c_9107,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_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12065]) ).

cnf(c_9146,plain,
    ( ~ product(e_1,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_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_9107,c_29]) ).

cnf(c_12066,plain,
    ( product(e_1,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)
    | product(e_1,e_4,e_1) ),
    inference(resolve,[status(thm)],[c_9146,c_8076]) ).

cnf(c_12067,plain,
    ( product(e_1,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)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12066]) ).

cnf(c_12068,plain,
    ( product(e_1,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)
    | product(e_1,e_4,e_1) ),
    inference(copy,[status(thm)],[c_12067]) ).

cnf(c_9166,plain,
    ( product(e_1,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_4,e_1) ),
    inference(copy,[status(thm)],[c_12068]) ).

cnf(c_12069,plain,
    ( product(e_4,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_1,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_9166,c_242]) ).

cnf(c_12070,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,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(copy,[status(thm)],[c_12069]) ).

cnf(c_12071,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,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(copy,[status(thm)],[c_12070]) ).

cnf(c_9184,plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,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(copy,[status(thm)],[c_12071]) ).

cnf(c_9186,plain,
    ( product(e_1,e_1,A)
    | ~ product(e_4,e_1,A)
    | product(e_1,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_9166,c_67]) ).

cnf(c_9188,plain,
    ( ~ product(e_4,e_1,e_1)
    | product(e_1,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(factor,[status(thm)],[c_9186]) ).

cnf(c_12072,plain,
    ( product(e_1,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_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_9188,c_9184]) ).

cnf(c_12073,plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,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(copy,[status(thm)],[c_12072]) ).

cnf(c_12074,plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,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(copy,[status(thm)],[c_12073]) ).

cnf(c_12075,plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,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(copy,[status(thm)],[c_12074]) ).

cnf(c_9214,plain,
    ( product(e_1,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(copy,[status(thm)],[c_12075]) ).

cnf(c_12076,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) ),
    inference(resolve,[status(thm)],[c_9214,c_871]) ).

cnf(c_12077,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) ),
    inference(copy,[status(thm)],[c_12076]) ).

cnf(c_12078,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) ),
    inference(copy,[status(thm)],[c_12077]) ).

cnf(c_9226,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) ),
    inference(copy,[status(thm)],[c_12078]) ).

cnf(c_9230,plain,
    ( product(e_1,e_1,A)
    | ~ product(e_2,e_1,A)
    | 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_9214,c_67]) ).

cnf(c_9231,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) ),
    inference(factor,[status(thm)],[c_9230]) ).

cnf(c_9232,plain,
    ( ~ 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) ),
    inference(factor,[status(thm)],[c_9230]) ).

cnf(c_12079,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_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_9226,c_9232]) ).

cnf(c_12080,plain,
    ( 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) ),
    inference(copy,[status(thm)],[c_12079]) ).

cnf(c_12081,plain,
    ( 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) ),
    inference(copy,[status(thm)],[c_12080]) ).

cnf(c_9238,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) ),
    inference(copy,[status(thm)],[c_12081]) ).

cnf(c_12082,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) ),
    inference(resolve,[status(thm)],[c_9238,c_9231]) ).

cnf(c_12083,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) ),
    inference(copy,[status(thm)],[c_12082]) ).

cnf(c_12084,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) ),
    inference(copy,[status(thm)],[c_12083]) ).

cnf(c_9239,plain,
    ( 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_12084]) ).

cnf(c_12085,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_9239,c_8795]) ).

cnf(c_9240,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12085]) ).

cnf(c_9251,plain,
    ( product(e_1,A,e_3)
    | ~ product(A,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_9239,c_67]) ).

cnf(c_9252,plain,
    ( product(e_3,e_1,A)
    | ~ product(e_1,e_3,A)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_9239,c_67]) ).

cnf(c_12086,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_9252,c_9240]) ).

cnf(c_12087,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12086]) ).

cnf(c_9318,plain,
    ( product(e_1,e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12087]) ).

cnf(c_12088,plain,
    ( ~ next(e_3,e_4)
    | ~ greater(A,e_0)
    | ~ cycle(e_3,A)
    | product(e_1,e_3,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_9318,c_52]) ).

cnf(c_9335,plain,
    ( ~ greater(A,e_0)
    | ~ cycle(e_3,A)
    | product(e_1,e_3,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_87,c_12088]) ).

cnf(c_9337,plain,
    ( ~ product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_9318,c_21]) ).

cnf(c_9356,plain,
    ( cycle(e_2,e_3)
    | 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_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_9337,c_579]) ).

cnf(c_12089,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_9356,c_9251]) ).

cnf(c_12090,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_1,e_2)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12089]) ).

cnf(c_9501,plain,
    ( product(e_1,e_2,e_3)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12090]) ).

cnf(c_12091,plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_1,e_2,e_3)
    | 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) ),
    inference(resolve,[status(thm)],[c_9501,c_9252]) ).

cnf(c_12092,plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_3)
    | 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) ),
    inference(copy,[status(thm)],[c_12091]) ).

cnf(c_9509,plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_2,e_3)
    | 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) ),
    inference(copy,[status(thm)],[c_12092]) ).

cnf(c_9519,plain,
    ( product(e_1,e_1,A)
    | ~ product(e_3,e_1,A)
    | product(e_1,e_2,e_3)
    | 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) ),
    inference(resolve,[status(thm)],[c_9501,c_67]) ).

cnf(c_9521,plain,
    ( ~ product(e_3,e_1,e_1)
    | product(e_1,e_2,e_3)
    | 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) ),
    inference(factor,[status(thm)],[c_9519]) ).

cnf(c_12093,plain,
    ( product(e_1,e_2,e_3)
    | 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)
    | product(e_1,e_2,e_3)
    | 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) ),
    inference(resolve,[status(thm)],[c_9521,c_9509]) ).

cnf(c_12094,plain,
    ( product(e_1,e_2,e_3)
    | 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_2,e_3)
    | 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) ),
    inference(copy,[status(thm)],[c_12093]) ).

cnf(c_12095,plain,
    ( product(e_1,e_2,e_3)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_2,e_3)
    | 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) ),
    inference(copy,[status(thm)],[c_12094]) ).

cnf(c_12096,plain,
    ( product(e_1,e_2,e_3)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | product(e_1,e_2,e_3)
    | 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) ),
    inference(copy,[status(thm)],[c_12095]) ).

cnf(c_12097,plain,
    ( product(e_1,e_2,e_3)
    | cycle(e_2,e_3)
    | product(e_1,e_2,e_3)
    | 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) ),
    inference(copy,[status(thm)],[c_12096]) ).

cnf(c_12098,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_3)
    | 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) ),
    inference(copy,[status(thm)],[c_12097]) ).

cnf(c_9543,plain,
    ( product(e_1,e_2,e_3)
    | 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) ),
    inference(copy,[status(thm)],[c_12098]) ).

cnf(c_9563,plain,
    ( ~ product(e_1,e_1,e_3)
    | 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) ),
    inference(resolve,[status(thm)],[c_9543,c_25]) ).

cnf(c_12099,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | 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) ),
    inference(resolve,[status(thm)],[c_9563,c_9239]) ).

cnf(c_12100,plain,
    ( product(e_1,e_1,e_2)
    | 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) ),
    inference(copy,[status(thm)],[c_12099]) ).

cnf(c_9564,plain,
    ( 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) ),
    inference(copy,[status(thm)],[c_12100]) ).

cnf(c_12101,plain,
    ( 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_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_9564,c_594]) ).

cnf(c_12102,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12101]) ).

cnf(c_12103,plain,
    ( cycle(e_2,e_3)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12102]) ).

cnf(c_9571,plain,
    ( product(e_2,e_1,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12103]) ).

cnf(c_9573,plain,
    ( product(e_1,A,e_2)
    | ~ product(A,e_1,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_9564,c_67]) ).

cnf(c_12104,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_9573,c_9571]) ).

cnf(c_12105,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12104]) ).

cnf(c_12106,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | product(e_1,e_2,e_2)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12105]) ).

cnf(c_12107,plain,
    ( cycle(e_2,e_3)
    | product(e_1,e_2,e_2)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12106]) ).

cnf(c_9620,plain,
    ( product(e_1,e_2,e_2)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12107]) ).

cnf(c_9635,plain,
    ( ~ product(e_1,e_1,e_2)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_9620,c_25]) ).

cnf(c_12108,plain,
    ( 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_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1) ),
    inference(resolve,[status(thm)],[c_9635,c_9564]) ).

cnf(c_12109,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)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12108]) ).

cnf(c_12110,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)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12109]) ).

cnf(c_12111,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12110]) ).

cnf(c_9636,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1) ),
    inference(copy,[status(thm)],[c_12111]) ).

cnf(c_12112,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | 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_9636,c_3683]) ).

cnf(c_12113,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | 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_12112]) ).

cnf(c_12114,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | 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_12113]) ).

cnf(c_9638,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12114]) ).

cnf(c_9640,plain,
    ( product(e_1,A,e_1)
    | ~ product(A,e_1,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9636,c_67]) ).

cnf(c_12115,plain,
    ( product(e_2,e_2,e_3)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9638,c_591]) ).

cnf(c_12116,plain,
    ( product(e_2,e_2,e_3)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12115]) ).

cnf(c_12117,plain,
    ( product(e_2,e_2,e_3)
    | cycle(e_2,e_3)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12116]) ).

cnf(c_9681,plain,
    ( product(e_2,e_2,e_3)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12117]) ).

cnf(c_9716,plain,
    ( ~ product(e_1,e_2,e_3)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9681,c_19]) ).

cnf(c_12118,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9716,c_9638]) ).

cnf(c_12119,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12118]) ).

cnf(c_12120,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12119]) ).

cnf(c_12121,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12120]) ).

cnf(c_12122,plain,
    ( product(e_1,e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12121]) ).

cnf(c_9736,plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12122]) ).

cnf(c_12123,plain,
    ( product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9736,c_9640]) ).

cnf(c_12124,plain,
    ( product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12123]) ).

cnf(c_12125,plain,
    ( product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12124]) ).

cnf(c_12126,plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12125]) ).

cnf(c_9747,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12126]) ).

cnf(c_12127,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9747,c_7835]) ).

cnf(c_12128,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12127]) ).

cnf(c_12129,plain,
    ( cycle(e_2,e_3)
    | product(e_1,e_4,e_1)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12128]) ).

cnf(c_9751,plain,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12129]) ).

cnf(c_9785,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9751,c_28]) ).

cnf(c_12130,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9785,c_9636]) ).

cnf(c_12131,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12130]) ).

cnf(c_12132,plain,
    ( cycle(e_2,e_3)
    | product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12131]) ).

cnf(c_9797,plain,
    ( product(e_1,e_2,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12132]) ).

cnf(c_9810,plain,
    ( ~ product(e_1,e_1,e_1)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9797,c_25]) ).

cnf(c_12133,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_9810,c_9636]) ).

cnf(c_12134,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_12133]) ).

cnf(c_12135,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_12134]) ).

cnf(c_9811,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12135]) ).

cnf(c_12136,plain,
    ( cycle(e_3,e_1)
    | ~ greater(e_3,e_0)
    | ~ greater(e_3,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9811,c_473]) ).

cnf(c_12137,plain,
    ( cycle(e_3,e_1)
    | ~ greater(e_3,e_0)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_79,c_12136]) ).

cnf(c_9819,plain,
    ( cycle(e_3,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_84,c_12137]) ).

cnf(c_9840,plain,
    ( ~ cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9819,c_350]) ).

cnf(c_12138,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_9840,c_9811]) ).

cnf(c_12139,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12138]) ).

cnf(c_9848,plain,
    ( cycle(e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12139]) ).

cnf(c_12140,plain,
    ( cycle(e_3,e_1)
    | ~ greater(e_2,e_0)
    | ~ greater(e_3,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9848,c_473]) ).

cnf(c_12141,plain,
    ( cycle(e_3,e_1)
    | ~ greater(e_2,e_0)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_79,c_12140]) ).

cnf(c_9849,plain,
    ( cycle(e_3,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_85,c_12141]) ).

cnf(c_12142,plain,
    ( ~ greater(e_2,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_1) ),
    inference(resolve,[status(thm)],[c_9848,c_444]) ).

cnf(c_9852,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_1) ),
    inference(resolve,[status(thm)],[c_85,c_12142]) ).

cnf(c_12143,plain,
    ( ~ greater(e_1,e_0)
    | product(e_1,e_3,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9849,c_9335]) ).

cnf(c_9863,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_86,c_12143]) ).

cnf(c_12144,plain,
    ( ~ greater(e_1,e_0)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9849,c_3963]) ).

cnf(c_9865,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_86,c_12144]) ).

cnf(c_9896,plain,
    ( product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9852,c_3339]) ).

cnf(c_12145,plain,
    ( product(e_3,e_1,e_1)
    | 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_1) ),
    inference(resolve,[status(thm)],[c_9863,c_9252]) ).

cnf(c_12146,plain,
    ( product(e_3,e_1,e_1)
    | 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_1) ),
    inference(copy,[status(thm)],[c_12145]) ).

cnf(c_9913,plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12146]) ).

cnf(c_9923,plain,
    ( product(e_1,e_1,A)
    | ~ product(e_3,e_1,A)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9863,c_67]) ).

cnf(c_9925,plain,
    ( ~ product(e_3,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(factor,[status(thm)],[c_9923]) ).

cnf(c_12147,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9925,c_9913]) ).

cnf(c_12148,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_1) ),
    inference(copy,[status(thm)],[c_12147]) ).

cnf(c_12149,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_1) ),
    inference(copy,[status(thm)],[c_12148]) ).

cnf(c_9963,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12149]) ).

cnf(c_12150,plain,
    ( ~ next(e_3,e_4)
    | ~ greater(A,e_0)
    | ~ cycle(e_3,A)
    | product(e_3,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9865,c_52]) ).

cnf(c_10027,plain,
    ( ~ greater(A,e_0)
    | ~ cycle(e_3,A)
    | product(e_3,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_87,c_12150]) ).

cnf(c_10062,plain,
    ( ~ product(e_1,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_9896,c_19]) ).

cnf(c_12151,plain,
    ( cycle(e_2,e_1)
    | ~ greater(e_1,e_0)
    | product(e_3,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10027,c_9849]) ).

cnf(c_12152,plain,
    ( ~ greater(e_1,e_0)
    | product(e_3,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12151]) ).

cnf(c_10293,plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_86,c_12152]) ).

cnf(c_12153,plain,
    ( ~ next(e_3,e_4)
    | ~ greater(A,e_0)
    | ~ cycle(e_3,A)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10293,c_60]) ).

cnf(c_10306,plain,
    ( ~ greater(A,e_0)
    | ~ cycle(e_3,A)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_87,c_12153]) ).

cnf(c_12154,plain,
    ( cycle(e_2,e_1)
    | ~ greater(e_1,e_0)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10306,c_9849]) ).

cnf(c_12155,plain,
    ( ~ greater(e_1,e_0)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12154]) ).

cnf(c_10393,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_86,c_12155]) ).

cnf(c_12156,plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10393,c_10062]) ).

cnf(c_10394,plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12156]) ).

cnf(c_10425,plain,
    ( product(e_4,e_4,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_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10393,c_288]) ).

cnf(c_10429,plain,
    ( ~ product(e_1,e_2,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10393,c_29]) ).

cnf(c_10430,plain,
    ( ~ product(e_1,e_1,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10393,c_28]) ).

cnf(c_12157,plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_2,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10430,c_9963]) ).

cnf(c_10438,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12157]) ).

cnf(c_10457,plain,
    ( product(e_4,e_4,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_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10438,c_288]) ).

cnf(c_10460,plain,
    ( product(e_1,e_1,A)
    | ~ product(e_4,e_1,A)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10438,c_67]) ).

cnf(c_10463,plain,
    ( ~ product(e_4,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(factor,[status(thm)],[c_10460]) ).

cnf(c_10493,plain,
    ( product(e_1,e_2,A)
    | ~ product(e_4,e_1,A)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10394,c_67]) ).

cnf(c_10662,plain,
    ( ~ product(e_1,e_4,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_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10425,c_22]) ).

cnf(c_10681,plain,
    ( ~ product(e_1,e_4,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_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10457,c_22]) ).

cnf(c_12158,plain,
    ( product(e_1,e_4,e_1)
    | cycle(e_2,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_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10662,c_10393]) ).

cnf(c_12159,plain,
    ( product(e_1,e_4,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_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12158]) ).

cnf(c_10890,plain,
    ( 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_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12159]) ).

cnf(c_10917,plain,
    ( ~ product(e_2,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10890,c_23]) ).

cnf(c_12160,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | cycle(e_2,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10917,c_9852]) ).

cnf(c_10937,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12160]) ).

cnf(c_12161,plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_2,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_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10681,c_10438]) ).

cnf(c_12162,plain,
    ( 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_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12161]) ).

cnf(c_10998,plain,
    ( 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_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12162]) ).

cnf(c_12163,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10998,c_10460]) ).

cnf(c_12164,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12163]) ).

cnf(c_10999,plain,
    ( product(e_1,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12164]) ).

cnf(c_11046,plain,
    ( ~ product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_4,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10999,c_22]) ).

cnf(c_12165,plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_4,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11046,c_9963]) ).

cnf(c_12166,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_4,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12165]) ).

cnf(c_11061,plain,
    ( product(e_1,e_1,e_3)
    | product(e_4,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12166]) ).

cnf(c_12167,plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11061,c_10463]) ).

cnf(c_12168,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12167]) ).

cnf(c_11076,plain,
    ( product(e_1,e_1,e_3)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12168]) ).

cnf(c_11084,plain,
    ( ~ product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11076,c_33]) ).

cnf(c_12169,plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_2,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11084,c_9963]) ).

cnf(c_12170,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12169]) ).

cnf(c_11085,plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12170]) ).

cnf(c_11088,plain,
    ( product(e_1,A,e_1)
    | ~ product(A,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11085,c_67]) ).

cnf(c_12171,plain,
    ( product(e_1,e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_10937,c_10493]) ).

cnf(c_12172,plain,
    ( product(e_1,e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12171]) ).

cnf(c_12173,plain,
    ( product(e_1,e_2,e_2)
    | 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_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12172]) ).

cnf(c_12174,plain,
    ( product(e_1,e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12173]) ).

cnf(c_11177,plain,
    ( product(e_1,e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12174]) ).

cnf(c_12175,plain,
    ( product(e_1,e_4,e_1)
    | cycle(e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11177,c_11088]) ).

cnf(c_12176,plain,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12175]) ).

cnf(c_11203,plain,
    ( product(e_1,e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12176]) ).

cnf(c_12177,plain,
    ( ~ next(e_2,e_3)
    | ~ greater(A,e_0)
    | ~ cycle(e_2,A)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11203,c_55]) ).

cnf(c_11209,plain,
    ( ~ greater(A,e_0)
    | ~ cycle(e_2,A)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_88,c_12177]) ).

cnf(c_12178,plain,
    ( cycle(e_2,e_1)
    | ~ greater(e_2,e_0)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11209,c_9848]) ).

cnf(c_12179,plain,
    ( ~ greater(e_2,e_0)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12178]) ).

cnf(c_11211,plain,
    ( product(e_1,e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_85,c_12179]) ).

cnf(c_11222,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11211,c_19]) ).

cnf(c_12180,plain,
    ( cycle(e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11222,c_11085]) ).

cnf(c_11260,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12180]) ).

cnf(c_11284,plain,
    ( ~ product(e_1,e_1,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11260,c_28]) ).

cnf(c_12181,plain,
    ( cycle(e_2,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11284,c_11085]) ).

cnf(c_11294,plain,
    ( product(e_1,e_2,e_2)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12181]) ).

cnf(c_12182,plain,
    ( product(e_1,e_4,e_1)
    | cycle(e_2,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11294,c_10429]) ).

cnf(c_11295,plain,
    ( product(e_1,e_4,e_1)
    | cycle(e_2,e_1) ),
    inference(copy,[status(thm)],[c_12182]) ).

cnf(c_11328,plain,
    ( ~ product(e_1,e_1,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11295,c_28]) ).

cnf(c_12183,plain,
    ( cycle(e_2,e_1)
    | cycle(e_2,e_1) ),
    inference(resolve,[status(thm)],[c_11328,c_11085]) ).

cnf(c_11338,plain,
    cycle(e_2,e_1),
    inference(copy,[status(thm)],[c_12183]) ).

cnf(c_11339,plain,
    ~ cycle(e_3,e_1),
    inference(resolve,[status(thm)],[c_11338,c_421]) ).

cnf(c_11628,plain,
    cycle(e_3,e_0),
    inference(resolve,[status(thm)],[c_11339,c_213]) ).

cnf(c_12184,plain,
    ( ~ greater(e_1,C)
    | ~ greater(A,e_2)
    | ~ next(A,B)
    | ~ cycle(B,C)
    | ~ cycle(A,e_0) ),
    inference(resolve,[status(thm)],[c_74,c_11338]) ).

cnf(c_12185,plain,
    ( ~ greater(e_1,e_0)
    | ~ greater(A,e_2)
    | ~ next(A,e_4)
    | ~ cycle(A,e_0) ),
    inference(resolve,[status(thm)],[c_12184,c_75]) ).

cnf(c_12186,plain,
    ( ~ greater(e_1,e_0)
    | ~ greater(e_3,e_2)
    | ~ cycle(e_3,e_0) ),
    inference(resolve,[status(thm)],[c_12185,c_87]) ).

cnf(c_12187,plain,
    ( ~ greater(e_1,e_0)
    | ~ cycle(e_3,e_0) ),
    inference(resolve,[status(thm)],[c_12186,c_79]) ).

cnf(c_12188,plain,
    ~ cycle(e_3,e_0),
    inference(resolve,[status(thm)],[c_12187,c_86]) ).

cnf(c_11729,plain,
    $false,
    inference(resolve,[status(thm)],[c_11628,c_12188]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP129-3.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36  % Computer : n015.cluster.edu
% 0.08/5.36  % Model    : x86_64 x86_64
% 0.08/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36  % Memory   : 8046.5625MB
% 0.08/5.36  % OS       : Linux 6.8.0-71-generic
% 0.08/5.36  % CPULimit : 300
% 0.08/5.36  % WCLimit  : 300
% 0.08/5.36  % DateTime : Fri Sep 25 14:31:48 UTC 2026
% 0.08/5.36  % CPUTime  : 
% 0.08/5.37  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/5.37  % Process 1585316 was started by sandbox on n015,
% 0.08/5.37  % Fri Sep 25 14:31:48 2026
% 0.08/5.37  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/5.37  
% 0.08/5.37  % From the command line: assign(max_seconds, 300).
% 69.84/15.20  
% 69.84/15.20  % given #500 (T,wt=24): 587 product(e_4,e_4,e_1) | product(e_4,e_4,e_2) | product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_4,e_3) | -product(e_2,e_4,e_3).  [resolve(327,c,23,a)].
% 69.84/15.20  
% 69.84/15.20  % given #1000 (T,wt=20): 2466 product(e_3,e_4,e_1) | product(e_3,e_4,e_2) | product(e_3,e_4,e_3) | -product(A,e_4,e_3) | product(e_3,A,e_1).  [resolve(2444,d,67,b)].
% 69.84/15.20  
% 69.84/15.20  % given #1500 (T,wt=28): 1957 product(e_1,e_3,e_1) | product(e_1,e_3,e_2) | product(e_1,e_3,e_3) | product(e_3,e_3,e_1) | product(e_2,e_3,e_1) | product(e_2,e_3,e_2) | product(e_3,e_2,e_2).  [resolve(1072,e,826,f),merge(g),merge(h),merge(i),merge(j),merge(k)].
% 69.84/15.20  
% 69.84/15.20  % given #2000 (T,wt=28): 5185 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_4,e_4,e_1) | 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_3,e_2).  [resolve(3842,d,30,a)].
% 69.84/15.20  
% 69.84/15.20  % given #2500 (T,wt=28): 6504 product(e_1,e_4,e_1) | product(e_1,e_4,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_2) | product(e_1,e_1,e_3) | product(e_1,e_3,e_3) | -product(e_4,e_3,e_1).  [factor(6499,a,h)].
% 69.84/15.20  
% 69.84/15.20  % given #3000 (T,wt=18): 9850 cycle(e_2,e_1) | -cycle(e_0,e_0) | -greater(e_0,e_2) | cycle(e_1,e_1) | cycle(e_1,e_2) | cycle(e_1,e_3).  [resolve(9848,b,456,a),unit_del(d,85)].
% 69.84/15.20  
% 69.84/15.20  % SZS status Unsatisfiable for theBenchmark
% 69.84/15.20  
% 69.84/15.20  % Proof 1 at 8.97 (+ 0.55) seconds.
% 69.84/15.20  % Length of proof is 419.
% 69.84/15.20  % Level of proof is 112.
% 69.84/15.20  % Maximum clause weight is 32.000.
% 69.84/15.20  % Given clauses 3278.
% 69.84/15.20  
% 69.84/15.20  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------