TSTP Solution File: ALG209+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG209+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 15:32:59 EDT 2022

% Result   : Theorem 5.52s 2.79s
% Output   : CNFRefutation 5.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   74
%            Number of leaves      :  125
% Syntax   : Number of clauses     :  325 ( 175 unt;   2 nHn; 325 RR)
%            Number of literals    :  867 ( 496 equ; 546 neg)
%            Maximal clause size   :   51 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   76 (  74 usr;  75 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_98,plain,
    ( op(e0,e0) = e0
    | epred1_0
    | op(e4,e4) != e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_98) ).

cnf(i_0_70,plain,
    op(e0,e0) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_70) ).

cnf(i_0_38,plain,
    op(e4,e4) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_38) ).

cnf(i_0_20,plain,
    e2 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_20) ).

cnf(i_0_161,plain,
    ( epred2_0
    | op(e0,e0) != e2
    | op(e0,e1) != e0
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_161) ).

cnf(i_0_69,plain,
    op(e0,e1) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_69) ).

cnf(i_0_212,plain,
    ( epred3_0
    | op(e0,e2) != e1
    | op(e0,e3) != e5
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_212) ).

cnf(i_0_68,plain,
    op(e0,e2) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_68) ).

cnf(i_0_67,plain,
    op(e0,e3) = e5,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_67) ).

cnf(i_0_248,plain,
    ( epred4_0
    | op(e0,e4) != e3
    | op(e0,e5) != e4
    | ~ epred3_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_248) ).

cnf(i_0_65,plain,
    op(e0,e5) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_65) ).

cnf(i_0_66,plain,
    op(e0,e4) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_66) ).

cnf(i_0_280,plain,
    ( epred5_0
    | op(e0,e6) != e6
    | op(e1,e0) != e0
    | ~ epred4_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_280) ).

cnf(i_0_64,plain,
    op(e0,e6) = e6,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_64) ).

cnf(i_0_63,plain,
    op(e1,e0) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_63) ).

cnf(i_0_325,plain,
    ( epred6_0
    | op(e1,e1) != e6
    | op(e1,e2) != e4
    | ~ epred5_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_325) ).

cnf(i_0_61,plain,
    op(e1,e2) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_61) ).

cnf(i_0_62,plain,
    op(e1,e1) = e6,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_62) ).

cnf(i_0_408,plain,
    ( epred7_0
    | op(e1,e3) != e1
    | op(e1,e4) != e5
    | ~ epred6_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_408) ).

cnf(i_0_60,plain,
    op(e1,e3) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_60) ).

cnf(i_0_59,plain,
    op(e1,e4) = e5,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_59) ).

cnf(i_0_452,plain,
    ( epred8_0
    | op(e1,e5) != e2
    | op(e1,e6) != e3
    | ~ epred7_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_452) ).

cnf(i_0_58,plain,
    op(e1,e5) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_58) ).

cnf(i_0_57,plain,
    op(e1,e6) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_57) ).

cnf(i_0_507,plain,
    ( epred9_0
    | op(e2,e0) != e1
    | op(e2,e1) != e4
    | ~ epred8_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_507) ).

cnf(i_0_56,plain,
    op(e2,e0) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_56) ).

cnf(i_0_55,plain,
    op(e2,e1) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_55) ).

cnf(i_0_540,plain,
    ( epred10_0
    | op(e2,e2) != e3
    | op(e2,e3) != e6
    | ~ epred9_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_540) ).

cnf(i_0_54,plain,
    op(e2,e2) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_54) ).

cnf(i_0_53,plain,
    op(e2,e3) = e6,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_53) ).

cnf(i_0_611,plain,
    ( epred11_0
    | op(e2,e4) != e0
    | op(e2,e5) != e5
    | ~ epred10_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_611) ).

cnf(i_0_51,plain,
    op(e2,e5) = e5,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_51) ).

cnf(i_0_52,plain,
    op(e2,e4) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_52) ).

cnf(i_0_646,plain,
    ( epred12_0
    | op(e2,e6) != e2
    | op(e3,e0) != e5
    | ~ epred11_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_646) ).

cnf(i_0_50,plain,
    op(e2,e6) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_50) ).

cnf(i_0_49,plain,
    op(e3,e0) = e5,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_49) ).

cnf(i_0_701,plain,
    ( epred13_0
    | op(e3,e1) != e1
    | op(e3,e2) != e6
    | ~ epred12_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_701) ).

cnf(i_0_47,plain,
    op(e3,e2) = e6,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_47) ).

cnf(i_0_48,plain,
    op(e3,e1) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_48) ).

cnf(i_0_761,plain,
    ( epred14_0
    | op(e3,e3) != e0
    | op(e3,e4) != e2
    | ~ epred13_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_761) ).

cnf(i_0_46,plain,
    op(e3,e3) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_46) ).

cnf(i_0_45,plain,
    op(e3,e4) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_45) ).

cnf(i_0_787,plain,
    ( epred15_0
    | op(e3,e5) != e3
    | op(e3,e6) != e4
    | ~ epred14_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_787) ).

cnf(i_0_44,plain,
    op(e3,e5) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_44) ).

cnf(i_0_43,plain,
    op(e3,e6) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_43) ).

cnf(i_0_835,plain,
    ( epred16_0
    | op(e4,e0) != e3
    | op(e4,e1) != e5
    | ~ epred15_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_835) ).

cnf(i_0_42,plain,
    op(e4,e0) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_42) ).

cnf(i_0_41,plain,
    op(e4,e1) = e5,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_41) ).

cnf(i_0_908,plain,
    ( epred17_0
    | op(e4,e2) != e0
    | op(e4,e3) != e2
    | ~ epred16_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_908) ).

cnf(i_0_40,plain,
    op(e4,e2) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_40) ).

cnf(i_0_39,plain,
    op(e4,e3) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_39) ).

cnf(i_0_925,plain,
    ( epred18_0
    | op(e4,e4) != e4
    | op(e4,e5) != e6
    | ~ epred17_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_925) ).

cnf(i_0_37,plain,
    op(e4,e5) = e6,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_37) ).

cnf(i_0_997,plain,
    ( epred19_0
    | op(e4,e6) != e1
    | op(e5,e0) != e4
    | ~ epred18_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_997) ).

cnf(i_0_35,plain,
    op(e5,e0) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_35) ).

cnf(i_0_36,plain,
    op(e4,e6) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_36) ).

cnf(i_0_1038,plain,
    ( epred20_0
    | op(e5,e1) != e2
    | op(e5,e2) != e5
    | ~ epred19_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1038) ).

cnf(i_0_33,plain,
    op(e5,e2) = e5,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_33) ).

cnf(i_0_34,plain,
    op(e5,e1) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_34) ).

cnf(i_0_1079,plain,
    ( epred21_0
    | op(e5,e3) != e3
    | op(e5,e4) != e6
    | ~ epred20_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1079) ).

cnf(i_0_32,plain,
    op(e5,e3) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_32) ).

cnf(i_0_31,plain,
    op(e5,e4) = e6,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_31) ).

cnf(i_0_1148,plain,
    ( epred22_0
    | op(e5,e5) != e1
    | op(e5,e6) != e0
    | ~ epred21_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1148) ).

cnf(i_0_30,plain,
    op(e5,e5) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_30) ).

cnf(i_0_29,plain,
    op(e5,e6) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_29) ).

cnf(i_0_1159,plain,
    ( epred23_0
    | op(e6,e0) != e6
    | op(e6,e1) != e3
    | ~ epred22_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1159) ).

cnf(i_0_28,plain,
    op(e6,e0) = e6,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_28) ).

cnf(i_0_27,plain,
    op(e6,e1) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_27) ).

cnf(i_0_1235,plain,
    ( epred24_0
    | op(e6,e2) != e2
    | op(e6,e3) != e4
    | ~ epred23_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1235) ).

cnf(i_0_26,plain,
    op(e6,e2) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_26) ).

cnf(i_0_25,plain,
    op(e6,e3) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_25) ).

cnf(i_0_1295,plain,
    ( epred25_0
    | op(e6,e4) != e1
    | op(e6,e5) != e0
    | ~ epred24_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1295) ).

cnf(i_0_23,plain,
    op(e6,e5) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_23) ).

cnf(i_0_24,plain,
    op(e6,e4) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_24) ).

cnf(i_0_1315,plain,
    ( epred26_0
    | op(e0,e1) != e0
    | op(e6,e6) != e5
    | ~ epred25_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1315) ).

cnf(i_0_22,plain,
    op(e6,e6) = e5,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_22) ).

cnf(i_0_1391,plain,
    ( epred27_0
    | op(e0,e2) != e1
    | op(e1,e0) != e0
    | ~ epred26_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1391) ).

cnf(i_0_1435,plain,
    ( epred28_0
    | op(e0,e0) != e2
    | op(e2,e0) != e1
    | ~ epred27_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1435) ).

cnf(i_0_1494,plain,
    ( epred29_0
    | op(e0,e0) != e2
    | op(e0,e4) != e3
    | ~ epred28_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1494) ).

cnf(i_0_1514,plain,
    ( epred30_0
    | op(e0,e5) != e4
    | op(e4,e0) != e3
    | ~ epred29_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1514) ).

cnf(i_0_1558,plain,
    ( epred31_0
    | op(e0,e3) != e5
    | op(e5,e0) != e4
    | ~ epred30_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1558) ).

cnf(i_0_1618,plain,
    ( epred32_0
    | op(e0,e6) != e6
    | op(e3,e0) != e5
    | ~ epred31_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1618) ).

cnf(i_0_1652,plain,
    ( epred33_0
    | op(e1,e0) != e0
    | op(e6,e0) != e6
    | ~ epred32_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1652) ).

cnf(i_0_1740,plain,
    ( epred34_0
    | op(e0,e1) != e0
    | op(e1,e3) != e1
    | ~ epred33_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1740) ).

cnf(i_0_1766,plain,
    ( epred35_0
    | op(e1,e5) != e2
    | op(e3,e1) != e1
    | ~ epred34_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1766) ).

cnf(i_0_1800,plain,
    ( epred36_0
    | op(e1,e6) != e3
    | op(e5,e1) != e2
    | ~ epred35_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1800) ).

cnf(i_0_1846,plain,
    ( epred37_0
    | op(e1,e2) != e4
    | op(e6,e1) != e3
    | ~ epred36_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1846) ).

cnf(i_0_1921,plain,
    ( epred38_0
    | op(e1,e4) != e5
    | op(e2,e1) != e4
    | ~ epred37_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1921) ).

cnf(i_0_1959,plain,
    ( epred39_0
    | op(e1,e1) != e6
    | op(e4,e1) != e5
    | ~ epred38_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_1959) ).

cnf(i_0_2026,plain,
    ( epred40_0
    | op(e1,e1) != e6
    | op(e2,e4) != e0
    | ~ epred39_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2026) ).

cnf(i_0_2058,plain,
    ( epred41_0
    | op(e2,e0) != e1
    | op(e4,e2) != e0
    | ~ epred40_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2058) ).

cnf(i_0_2129,plain,
    ( epred42_0
    | op(e0,e2) != e1
    | op(e2,e6) != e2
    | ~ epred41_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2129) ).

cnf(i_0_2140,plain,
    ( epred43_0
    | op(e2,e2) != e3
    | op(e6,e2) != e2
    | ~ epred42_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2140) ).

cnf(i_0_2218,plain,
    ( epred44_0
    | op(e2,e1) != e4
    | op(e2,e2) != e3
    | ~ epred43_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2218) ).

cnf(i_0_2270,plain,
    ( epred45_0
    | op(e1,e2) != e4
    | op(e2,e5) != e5
    | ~ epred44_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2270) ).

cnf(i_0_2293,plain,
    ( epred46_0
    | op(e2,e3) != e6
    | op(e5,e2) != e5
    | ~ epred45_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2293) ).

cnf(i_0_2356,plain,
    ( epred47_0
    | op(e3,e2) != e6
    | op(e3,e3) != e0
    | ~ epred46_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2356) ).

cnf(i_0_2407,plain,
    ( epred48_0
    | op(e3,e1) != e1
    | op(e3,e3) != e0
    | ~ epred47_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2407) ).

cnf(i_0_2467,plain,
    ( epred49_0
    | op(e1,e3) != e1
    | op(e3,e4) != e2
    | ~ epred48_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2467) ).

cnf(i_0_2494,plain,
    ( epred50_0
    | op(e3,e5) != e3
    | op(e4,e3) != e2
    | ~ epred49_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2494) ).

cnf(i_0_2535,plain,
    ( epred51_0
    | op(e3,e6) != e4
    | op(e5,e3) != e3
    | ~ epred50_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2535) ).

cnf(i_0_2583,plain,
    ( epred52_0
    | op(e3,e0) != e5
    | op(e6,e3) != e4
    | ~ epred51_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2583) ).

cnf(i_0_2672,plain,
    ( epred53_0
    | op(e0,e3) != e5
    | op(e3,e2) != e6
    | ~ epred52_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2672) ).

cnf(i_0_2707,plain,
    ( epred54_0
    | op(e2,e3) != e6
    | op(e4,e2) != e0
    | ~ epred53_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2707) ).

cnf(i_0_2752,plain,
    ( epred55_0
    | op(e2,e4) != e0
    | op(e4,e6) != e1
    | ~ epred54_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2752) ).

cnf(i_0_2776,plain,
    ( epred56_0
    | op(e4,e3) != e2
    | op(e6,e4) != e1
    | ~ epred55_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2776) ).

cnf(i_0_2849,plain,
    ( epred57_0
    | op(e3,e4) != e2
    | op(e4,e0) != e3
    | ~ epred56_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2849) ).

cnf(i_0_2915,plain,
    ( epred58_0
    | op(e0,e4) != e3
    | op(e4,e4) != e4
    | ~ epred57_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2915) ).

cnf(i_0_2939,plain,
    ( epred59_0
    | op(e4,e1) != e5
    | op(e4,e4) != e4
    | ~ epred58_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_2939) ).

cnf(i_0_3005,plain,
    ( epred60_0
    | op(e1,e4) != e5
    | op(e4,e5) != e6
    | ~ epred59_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3005) ).

cnf(i_0_3025,plain,
    ( epred61_0
    | op(e5,e4) != e6
    | op(e5,e6) != e0
    | ~ epred60_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3025) ).

cnf(i_0_3068,plain,
    ( epred62_0
    | op(e5,e5) != e1
    | op(e6,e5) != e0
    | ~ epred61_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3068) ).

cnf(i_0_3128,plain,
    ( epred63_0
    | op(e5,e1) != e2
    | op(e5,e5) != e1
    | ~ epred62_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3128) ).

cnf(i_0_3203,plain,
    ( epred64_0
    | op(e1,e5) != e2
    | op(e5,e3) != e3
    | ~ epred63_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3203) ).

cnf(i_0_3241,plain,
    ( epred65_0
    | op(e3,e5) != e3
    | op(e5,e0) != e4
    | ~ epred64_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3241) ).

cnf(i_0_3309,plain,
    ( epred66_0
    | op(e0,e5) != e4
    | op(e5,e2) != e5
    | ~ epred65_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3309) ).

cnf(i_0_3342,plain,
    ( epred67_0
    | op(e2,e5) != e5
    | op(e5,e4) != e6
    | ~ epred66_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3342) ).

cnf(i_0_3376,plain,
    ( epred68_0
    | op(e4,e5) != e6
    | op(e6,e5) != e0
    | ~ epred67_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3376) ).

cnf(i_0_3419,plain,
    ( epred69_0
    | op(e5,e6) != e0
    | op(e6,e4) != e1
    | ~ epred68_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3419) ).

cnf(i_0_3477,plain,
    ( epred70_0
    | op(e4,e6) != e1
    | op(e6,e2) != e2
    | ~ epred69_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3477) ).

cnf(i_0_3541,plain,
    ( epred71_0
    | op(e2,e6) != e2
    | op(e6,e1) != e3
    | ~ epred70_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3541) ).

cnf(i_0_77,negated_conjecture,
    ( op(e0,e6) != e6
    | op(op(op(e0,e0),e0),e0) != e0
    | op(op(op(e0,e1),e0),e0) != e1
    | op(op(op(e0,e2),e0),e0) != e2
    | op(op(op(e0,e3),e0),e0) != e3
    | op(op(op(e0,e4),e0),e0) != e4
    | op(op(op(e0,e5),e0),e0) != e5
    | op(op(op(e0,e6),e0),e0) != e6
    | op(op(op(e1,e0),e1),e1) != e0
    | op(op(op(e1,e1),e1),e1) != e1
    | op(op(op(e1,e2),e1),e1) != e2
    | op(op(op(e1,e3),e1),e1) != e3
    | op(op(op(e1,e4),e1),e1) != e4
    | op(op(op(e1,e5),e1),e1) != e5
    | op(op(op(e1,e6),e1),e1) != e6
    | op(op(op(e2,e0),e2),e2) != e0
    | op(op(op(e2,e1),e2),e2) != e1
    | op(op(op(e2,e2),e2),e2) != e2
    | op(op(op(e2,e3),e2),e2) != e3
    | op(op(op(e2,e4),e2),e2) != e4
    | op(op(op(e2,e5),e2),e2) != e5
    | op(op(op(e2,e6),e2),e2) != e6
    | op(op(op(e3,e0),e3),e3) != e0
    | op(op(op(e3,e1),e3),e3) != e1
    | op(op(op(e3,e2),e3),e3) != e2
    | op(op(op(e3,e3),e3),e3) != e3
    | op(op(op(e3,e4),e3),e3) != e4
    | op(op(op(e3,e5),e3),e3) != e5
    | op(op(op(e3,e6),e3),e3) != e6
    | op(op(op(e4,e0),e4),e4) != e0
    | op(op(op(e4,e1),e4),e4) != e1
    | op(op(op(e4,e2),e4),e4) != e2
    | op(op(op(e4,e3),e4),e4) != e3
    | op(op(op(e4,e4),e4),e4) != e4
    | op(op(op(e4,e5),e4),e4) != e5
    | op(op(op(e4,e6),e4),e4) != e6
    | op(op(op(e5,e0),e5),e5) != e0
    | op(op(op(e5,e1),e5),e5) != e1
    | op(op(op(e5,e2),e5),e5) != e2
    | op(op(op(e5,e3),e5),e5) != e3
    | op(op(op(e5,e4),e5),e5) != e4
    | op(op(op(e5,e5),e5),e5) != e5
    | op(op(op(e5,e6),e5),e5) != e6
    | op(op(op(e6,e0),e6),e6) != e0
    | op(op(op(e6,e1),e6),e6) != e1
    | op(op(op(e6,e2),e6),e6) != e2
    | op(op(op(e6,e3),e6),e6) != e3
    | op(op(op(e6,e4),e6),e6) != e4
    | op(op(op(e6,e5),e6),e6) != e5
    | op(op(op(e6,e6),e6),e6) != e6
    | ~ epred74_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_77) ).

cnf(i_0_3595,plain,
    ( epred72_0
    | op(e1,e6) != e3
    | op(e6,e3) != e4
    | ~ epred71_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3595) ).

cnf(i_0_3661,plain,
    ( epred74_0
    | op(e6,e0) != e6
    | op(e6,e6) != e5
    | ~ epred73_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3661) ).

cnf(i_0_3627,plain,
    ( epred73_0
    | op(e3,e6) != e4
    | op(e6,e6) != e5
    | ~ epred72_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fq_w09qd/input.p',i_0_3627) ).

cnf(c_0_3787,plain,
    ( op(e0,e0) = e0
    | epred1_0
    | op(e4,e4) != e4 ),
    i_0_98 ).

cnf(c_0_3788,plain,
    op(e0,e0) = e2,
    i_0_70 ).

cnf(c_0_3789,plain,
    op(e4,e4) = e4,
    i_0_38 ).

cnf(c_0_3790,plain,
    e2 != e0,
    i_0_20 ).

cnf(c_0_3791,plain,
    ( epred2_0
    | op(e0,e0) != e2
    | op(e0,e1) != e0
    | ~ epred1_0 ),
    i_0_161 ).

cnf(c_0_3792,plain,
    op(e0,e1) = e0,
    i_0_69 ).

cnf(c_0_3793,plain,
    epred1_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3787,c_0_3788]),c_0_3789])]),c_0_3790]) ).

cnf(c_0_3794,plain,
    ( epred3_0
    | op(e0,e2) != e1
    | op(e0,e3) != e5
    | ~ epred2_0 ),
    i_0_212 ).

cnf(c_0_3795,plain,
    op(e0,e2) = e1,
    i_0_68 ).

cnf(c_0_3796,plain,
    op(e0,e3) = e5,
    i_0_67 ).

cnf(c_0_3797,plain,
    epred2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3791,c_0_3788]),c_0_3792]),c_0_3793])]) ).

cnf(c_0_3798,plain,
    ( epred4_0
    | op(e0,e4) != e3
    | op(e0,e5) != e4
    | ~ epred3_0 ),
    i_0_248 ).

cnf(c_0_3799,plain,
    op(e0,e5) = e4,
    i_0_65 ).

cnf(c_0_3800,plain,
    op(e0,e4) = e3,
    i_0_66 ).

cnf(c_0_3801,plain,
    epred3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3794,c_0_3795]),c_0_3796]),c_0_3797])]) ).

cnf(c_0_3802,plain,
    ( epred5_0
    | op(e0,e6) != e6
    | op(e1,e0) != e0
    | ~ epred4_0 ),
    i_0_280 ).

cnf(c_0_3803,plain,
    op(e0,e6) = e6,
    i_0_64 ).

cnf(c_0_3804,plain,
    op(e1,e0) = e0,
    i_0_63 ).

cnf(c_0_3805,plain,
    epred4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3798,c_0_3799]),c_0_3800]),c_0_3801])]) ).

cnf(c_0_3806,plain,
    ( epred6_0
    | op(e1,e1) != e6
    | op(e1,e2) != e4
    | ~ epred5_0 ),
    i_0_325 ).

cnf(c_0_3807,plain,
    op(e1,e2) = e4,
    i_0_61 ).

cnf(c_0_3808,plain,
    op(e1,e1) = e6,
    i_0_62 ).

cnf(c_0_3809,plain,
    epred5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3802,c_0_3803]),c_0_3804]),c_0_3805])]) ).

cnf(c_0_3810,plain,
    ( epred7_0
    | op(e1,e3) != e1
    | op(e1,e4) != e5
    | ~ epred6_0 ),
    i_0_408 ).

cnf(c_0_3811,plain,
    op(e1,e3) = e1,
    i_0_60 ).

cnf(c_0_3812,plain,
    op(e1,e4) = e5,
    i_0_59 ).

cnf(c_0_3813,plain,
    epred6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3806,c_0_3807]),c_0_3808]),c_0_3809])]) ).

cnf(c_0_3814,plain,
    ( epred8_0
    | op(e1,e5) != e2
    | op(e1,e6) != e3
    | ~ epred7_0 ),
    i_0_452 ).

cnf(c_0_3815,plain,
    op(e1,e5) = e2,
    i_0_58 ).

cnf(c_0_3816,plain,
    op(e1,e6) = e3,
    i_0_57 ).

cnf(c_0_3817,plain,
    epred7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3810,c_0_3811]),c_0_3812]),c_0_3813])]) ).

cnf(c_0_3818,plain,
    ( epred9_0
    | op(e2,e0) != e1
    | op(e2,e1) != e4
    | ~ epred8_0 ),
    i_0_507 ).

cnf(c_0_3819,plain,
    op(e2,e0) = e1,
    i_0_56 ).

cnf(c_0_3820,plain,
    op(e2,e1) = e4,
    i_0_55 ).

cnf(c_0_3821,plain,
    epred8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3814,c_0_3815]),c_0_3816]),c_0_3817])]) ).

cnf(c_0_3822,plain,
    ( epred10_0
    | op(e2,e2) != e3
    | op(e2,e3) != e6
    | ~ epred9_0 ),
    i_0_540 ).

cnf(c_0_3823,plain,
    op(e2,e2) = e3,
    i_0_54 ).

cnf(c_0_3824,plain,
    op(e2,e3) = e6,
    i_0_53 ).

cnf(c_0_3825,plain,
    epred9_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3818,c_0_3819]),c_0_3820]),c_0_3821])]) ).

cnf(c_0_3826,plain,
    ( epred11_0
    | op(e2,e4) != e0
    | op(e2,e5) != e5
    | ~ epred10_0 ),
    i_0_611 ).

cnf(c_0_3827,plain,
    op(e2,e5) = e5,
    i_0_51 ).

cnf(c_0_3828,plain,
    op(e2,e4) = e0,
    i_0_52 ).

cnf(c_0_3829,plain,
    epred10_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3822,c_0_3823]),c_0_3824]),c_0_3825])]) ).

cnf(c_0_3830,plain,
    ( epred12_0
    | op(e2,e6) != e2
    | op(e3,e0) != e5
    | ~ epred11_0 ),
    i_0_646 ).

cnf(c_0_3831,plain,
    op(e2,e6) = e2,
    i_0_50 ).

cnf(c_0_3832,plain,
    op(e3,e0) = e5,
    i_0_49 ).

cnf(c_0_3833,plain,
    epred11_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3826,c_0_3827]),c_0_3828]),c_0_3829])]) ).

cnf(c_0_3834,plain,
    ( epred13_0
    | op(e3,e1) != e1
    | op(e3,e2) != e6
    | ~ epred12_0 ),
    i_0_701 ).

cnf(c_0_3835,plain,
    op(e3,e2) = e6,
    i_0_47 ).

cnf(c_0_3836,plain,
    op(e3,e1) = e1,
    i_0_48 ).

cnf(c_0_3837,plain,
    epred12_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3830,c_0_3831]),c_0_3832]),c_0_3833])]) ).

cnf(c_0_3838,plain,
    ( epred14_0
    | op(e3,e3) != e0
    | op(e3,e4) != e2
    | ~ epred13_0 ),
    i_0_761 ).

cnf(c_0_3839,plain,
    op(e3,e3) = e0,
    i_0_46 ).

cnf(c_0_3840,plain,
    op(e3,e4) = e2,
    i_0_45 ).

cnf(c_0_3841,plain,
    epred13_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3834,c_0_3835]),c_0_3836]),c_0_3837])]) ).

cnf(c_0_3842,plain,
    ( epred15_0
    | op(e3,e5) != e3
    | op(e3,e6) != e4
    | ~ epred14_0 ),
    i_0_787 ).

cnf(c_0_3843,plain,
    op(e3,e5) = e3,
    i_0_44 ).

cnf(c_0_3844,plain,
    op(e3,e6) = e4,
    i_0_43 ).

cnf(c_0_3845,plain,
    epred14_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3838,c_0_3839]),c_0_3840]),c_0_3841])]) ).

cnf(c_0_3846,plain,
    ( epred16_0
    | op(e4,e0) != e3
    | op(e4,e1) != e5
    | ~ epred15_0 ),
    i_0_835 ).

cnf(c_0_3847,plain,
    op(e4,e0) = e3,
    i_0_42 ).

cnf(c_0_3848,plain,
    op(e4,e1) = e5,
    i_0_41 ).

cnf(c_0_3849,plain,
    epred15_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3842,c_0_3843]),c_0_3844]),c_0_3845])]) ).

cnf(c_0_3850,plain,
    ( epred17_0
    | op(e4,e2) != e0
    | op(e4,e3) != e2
    | ~ epred16_0 ),
    i_0_908 ).

cnf(c_0_3851,plain,
    op(e4,e2) = e0,
    i_0_40 ).

cnf(c_0_3852,plain,
    op(e4,e3) = e2,
    i_0_39 ).

cnf(c_0_3853,plain,
    epred16_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3846,c_0_3847]),c_0_3848]),c_0_3849])]) ).

cnf(c_0_3854,plain,
    ( epred18_0
    | op(e4,e4) != e4
    | op(e4,e5) != e6
    | ~ epred17_0 ),
    i_0_925 ).

cnf(c_0_3855,plain,
    op(e4,e5) = e6,
    i_0_37 ).

cnf(c_0_3856,plain,
    epred17_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3850,c_0_3851]),c_0_3852]),c_0_3853])]) ).

cnf(c_0_3857,plain,
    ( epred19_0
    | op(e4,e6) != e1
    | op(e5,e0) != e4
    | ~ epred18_0 ),
    i_0_997 ).

cnf(c_0_3858,plain,
    op(e5,e0) = e4,
    i_0_35 ).

cnf(c_0_3859,plain,
    op(e4,e6) = e1,
    i_0_36 ).

cnf(c_0_3860,plain,
    epred18_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3854,c_0_3855]),c_0_3789]),c_0_3856])]) ).

cnf(c_0_3861,plain,
    ( epred20_0
    | op(e5,e1) != e2
    | op(e5,e2) != e5
    | ~ epred19_0 ),
    i_0_1038 ).

cnf(c_0_3862,plain,
    op(e5,e2) = e5,
    i_0_33 ).

cnf(c_0_3863,plain,
    op(e5,e1) = e2,
    i_0_34 ).

cnf(c_0_3864,plain,
    epred19_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3857,c_0_3858]),c_0_3859]),c_0_3860])]) ).

cnf(c_0_3865,plain,
    ( epred21_0
    | op(e5,e3) != e3
    | op(e5,e4) != e6
    | ~ epred20_0 ),
    i_0_1079 ).

cnf(c_0_3866,plain,
    op(e5,e3) = e3,
    i_0_32 ).

cnf(c_0_3867,plain,
    op(e5,e4) = e6,
    i_0_31 ).

cnf(c_0_3868,plain,
    epred20_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3861,c_0_3862]),c_0_3863]),c_0_3864])]) ).

cnf(c_0_3869,plain,
    ( epred22_0
    | op(e5,e5) != e1
    | op(e5,e6) != e0
    | ~ epred21_0 ),
    i_0_1148 ).

cnf(c_0_3870,plain,
    op(e5,e5) = e1,
    i_0_30 ).

cnf(c_0_3871,plain,
    op(e5,e6) = e0,
    i_0_29 ).

cnf(c_0_3872,plain,
    epred21_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3865,c_0_3866]),c_0_3867]),c_0_3868])]) ).

cnf(c_0_3873,plain,
    ( epred23_0
    | op(e6,e0) != e6
    | op(e6,e1) != e3
    | ~ epred22_0 ),
    i_0_1159 ).

cnf(c_0_3874,plain,
    op(e6,e0) = e6,
    i_0_28 ).

cnf(c_0_3875,plain,
    op(e6,e1) = e3,
    i_0_27 ).

cnf(c_0_3876,plain,
    epred22_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3869,c_0_3870]),c_0_3871]),c_0_3872])]) ).

cnf(c_0_3877,plain,
    ( epred24_0
    | op(e6,e2) != e2
    | op(e6,e3) != e4
    | ~ epred23_0 ),
    i_0_1235 ).

cnf(c_0_3878,plain,
    op(e6,e2) = e2,
    i_0_26 ).

cnf(c_0_3879,plain,
    op(e6,e3) = e4,
    i_0_25 ).

cnf(c_0_3880,plain,
    epred23_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3873,c_0_3874]),c_0_3875]),c_0_3876])]) ).

cnf(c_0_3881,plain,
    ( epred25_0
    | op(e6,e4) != e1
    | op(e6,e5) != e0
    | ~ epred24_0 ),
    i_0_1295 ).

cnf(c_0_3882,plain,
    op(e6,e5) = e0,
    i_0_23 ).

cnf(c_0_3883,plain,
    op(e6,e4) = e1,
    i_0_24 ).

cnf(c_0_3884,plain,
    epred24_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3877,c_0_3878]),c_0_3879]),c_0_3880])]) ).

cnf(c_0_3885,plain,
    ( epred26_0
    | op(e0,e1) != e0
    | op(e6,e6) != e5
    | ~ epred25_0 ),
    i_0_1315 ).

cnf(c_0_3886,plain,
    op(e6,e6) = e5,
    i_0_22 ).

cnf(c_0_3887,plain,
    epred25_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3881,c_0_3882]),c_0_3883]),c_0_3884])]) ).

cnf(c_0_3888,plain,
    ( epred27_0
    | op(e0,e2) != e1
    | op(e1,e0) != e0
    | ~ epred26_0 ),
    i_0_1391 ).

cnf(c_0_3889,plain,
    epred26_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3885,c_0_3792]),c_0_3886]),c_0_3887])]) ).

cnf(c_0_3890,plain,
    ( epred28_0
    | op(e0,e0) != e2
    | op(e2,e0) != e1
    | ~ epred27_0 ),
    i_0_1435 ).

cnf(c_0_3891,plain,
    epred27_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3888,c_0_3795]),c_0_3804]),c_0_3889])]) ).

cnf(c_0_3892,plain,
    ( epred29_0
    | op(e0,e0) != e2
    | op(e0,e4) != e3
    | ~ epred28_0 ),
    i_0_1494 ).

cnf(c_0_3893,plain,
    epred28_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3890,c_0_3788]),c_0_3819]),c_0_3891])]) ).

cnf(c_0_3894,plain,
    ( epred30_0
    | op(e0,e5) != e4
    | op(e4,e0) != e3
    | ~ epred29_0 ),
    i_0_1514 ).

cnf(c_0_3895,plain,
    epred29_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3892,c_0_3788]),c_0_3800]),c_0_3893])]) ).

cnf(c_0_3896,plain,
    ( epred31_0
    | op(e0,e3) != e5
    | op(e5,e0) != e4
    | ~ epred30_0 ),
    i_0_1558 ).

cnf(c_0_3897,plain,
    epred30_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3894,c_0_3799]),c_0_3847]),c_0_3895])]) ).

cnf(c_0_3898,plain,
    ( epred32_0
    | op(e0,e6) != e6
    | op(e3,e0) != e5
    | ~ epred31_0 ),
    i_0_1618 ).

cnf(c_0_3899,plain,
    epred31_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3896,c_0_3796]),c_0_3858]),c_0_3897])]) ).

cnf(c_0_3900,plain,
    ( epred33_0
    | op(e1,e0) != e0
    | op(e6,e0) != e6
    | ~ epred32_0 ),
    i_0_1652 ).

cnf(c_0_3901,plain,
    epred32_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3898,c_0_3803]),c_0_3832]),c_0_3899])]) ).

cnf(c_0_3902,plain,
    ( epred34_0
    | op(e0,e1) != e0
    | op(e1,e3) != e1
    | ~ epred33_0 ),
    i_0_1740 ).

cnf(c_0_3903,plain,
    epred33_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3900,c_0_3804]),c_0_3874]),c_0_3901])]) ).

cnf(c_0_3904,plain,
    ( epred35_0
    | op(e1,e5) != e2
    | op(e3,e1) != e1
    | ~ epred34_0 ),
    i_0_1766 ).

cnf(c_0_3905,plain,
    epred34_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3902,c_0_3792]),c_0_3811]),c_0_3903])]) ).

cnf(c_0_3906,plain,
    ( epred36_0
    | op(e1,e6) != e3
    | op(e5,e1) != e2
    | ~ epred35_0 ),
    i_0_1800 ).

cnf(c_0_3907,plain,
    epred35_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3904,c_0_3815]),c_0_3836]),c_0_3905])]) ).

cnf(c_0_3908,plain,
    ( epred37_0
    | op(e1,e2) != e4
    | op(e6,e1) != e3
    | ~ epred36_0 ),
    i_0_1846 ).

cnf(c_0_3909,plain,
    epred36_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3906,c_0_3816]),c_0_3863]),c_0_3907])]) ).

cnf(c_0_3910,plain,
    ( epred38_0
    | op(e1,e4) != e5
    | op(e2,e1) != e4
    | ~ epred37_0 ),
    i_0_1921 ).

cnf(c_0_3911,plain,
    epred37_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3908,c_0_3807]),c_0_3875]),c_0_3909])]) ).

cnf(c_0_3912,plain,
    ( epred39_0
    | op(e1,e1) != e6
    | op(e4,e1) != e5
    | ~ epred38_0 ),
    i_0_1959 ).

cnf(c_0_3913,plain,
    epred38_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3910,c_0_3820]),c_0_3812]),c_0_3911])]) ).

cnf(c_0_3914,plain,
    ( epred40_0
    | op(e1,e1) != e6
    | op(e2,e4) != e0
    | ~ epred39_0 ),
    i_0_2026 ).

cnf(c_0_3915,plain,
    epred39_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3912,c_0_3808]),c_0_3848]),c_0_3913])]) ).

cnf(c_0_3916,plain,
    ( epred41_0
    | op(e2,e0) != e1
    | op(e4,e2) != e0
    | ~ epred40_0 ),
    i_0_2058 ).

cnf(c_0_3917,plain,
    epred40_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3914,c_0_3828]),c_0_3808]),c_0_3915])]) ).

cnf(c_0_3918,plain,
    ( epred42_0
    | op(e0,e2) != e1
    | op(e2,e6) != e2
    | ~ epred41_0 ),
    i_0_2129 ).

cnf(c_0_3919,plain,
    epred41_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3916,c_0_3819]),c_0_3851]),c_0_3917])]) ).

cnf(c_0_3920,plain,
    ( epred43_0
    | op(e2,e2) != e3
    | op(e6,e2) != e2
    | ~ epred42_0 ),
    i_0_2140 ).

cnf(c_0_3921,plain,
    epred42_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3918,c_0_3795]),c_0_3831]),c_0_3919])]) ).

cnf(c_0_3922,plain,
    ( epred44_0
    | op(e2,e1) != e4
    | op(e2,e2) != e3
    | ~ epred43_0 ),
    i_0_2218 ).

cnf(c_0_3923,plain,
    epred43_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3920,c_0_3823]),c_0_3878]),c_0_3921])]) ).

cnf(c_0_3924,plain,
    ( epred45_0
    | op(e1,e2) != e4
    | op(e2,e5) != e5
    | ~ epred44_0 ),
    i_0_2270 ).

cnf(c_0_3925,plain,
    epred44_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3922,c_0_3823]),c_0_3820]),c_0_3923])]) ).

cnf(c_0_3926,plain,
    ( epred46_0
    | op(e2,e3) != e6
    | op(e5,e2) != e5
    | ~ epred45_0 ),
    i_0_2293 ).

cnf(c_0_3927,plain,
    epred45_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3924,c_0_3827]),c_0_3807]),c_0_3925])]) ).

cnf(c_0_3928,plain,
    ( epred47_0
    | op(e3,e2) != e6
    | op(e3,e3) != e0
    | ~ epred46_0 ),
    i_0_2356 ).

cnf(c_0_3929,plain,
    epred46_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3926,c_0_3824]),c_0_3862]),c_0_3927])]) ).

cnf(c_0_3930,plain,
    ( epred48_0
    | op(e3,e1) != e1
    | op(e3,e3) != e0
    | ~ epred47_0 ),
    i_0_2407 ).

cnf(c_0_3931,plain,
    epred47_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3928,c_0_3835]),c_0_3839]),c_0_3929])]) ).

cnf(c_0_3932,plain,
    ( epred49_0
    | op(e1,e3) != e1
    | op(e3,e4) != e2
    | ~ epred48_0 ),
    i_0_2467 ).

cnf(c_0_3933,plain,
    epred48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3930,c_0_3836]),c_0_3839]),c_0_3931])]) ).

cnf(c_0_3934,plain,
    ( epred50_0
    | op(e3,e5) != e3
    | op(e4,e3) != e2
    | ~ epred49_0 ),
    i_0_2494 ).

cnf(c_0_3935,plain,
    epred49_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3932,c_0_3811]),c_0_3840]),c_0_3933])]) ).

cnf(c_0_3936,plain,
    ( epred51_0
    | op(e3,e6) != e4
    | op(e5,e3) != e3
    | ~ epred50_0 ),
    i_0_2535 ).

cnf(c_0_3937,plain,
    epred50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3934,c_0_3843]),c_0_3852]),c_0_3935])]) ).

cnf(c_0_3938,plain,
    ( epred52_0
    | op(e3,e0) != e5
    | op(e6,e3) != e4
    | ~ epred51_0 ),
    i_0_2583 ).

cnf(c_0_3939,plain,
    epred51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3936,c_0_3844]),c_0_3866]),c_0_3937])]) ).

cnf(c_0_3940,plain,
    ( epred53_0
    | op(e0,e3) != e5
    | op(e3,e2) != e6
    | ~ epred52_0 ),
    i_0_2672 ).

cnf(c_0_3941,plain,
    epred52_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3938,c_0_3832]),c_0_3879]),c_0_3939])]) ).

cnf(c_0_3942,plain,
    ( epred54_0
    | op(e2,e3) != e6
    | op(e4,e2) != e0
    | ~ epred53_0 ),
    i_0_2707 ).

cnf(c_0_3943,plain,
    epred53_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3940,c_0_3796]),c_0_3835]),c_0_3941])]) ).

cnf(c_0_3944,plain,
    ( epred55_0
    | op(e2,e4) != e0
    | op(e4,e6) != e1
    | ~ epred54_0 ),
    i_0_2752 ).

cnf(c_0_3945,plain,
    epred54_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3942,c_0_3824]),c_0_3851]),c_0_3943])]) ).

cnf(c_0_3946,plain,
    ( epred56_0
    | op(e4,e3) != e2
    | op(e6,e4) != e1
    | ~ epred55_0 ),
    i_0_2776 ).

cnf(c_0_3947,plain,
    epred55_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3944,c_0_3828]),c_0_3859]),c_0_3945])]) ).

cnf(c_0_3948,plain,
    ( epred57_0
    | op(e3,e4) != e2
    | op(e4,e0) != e3
    | ~ epred56_0 ),
    i_0_2849 ).

cnf(c_0_3949,plain,
    epred56_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3946,c_0_3852]),c_0_3883]),c_0_3947])]) ).

cnf(c_0_3950,plain,
    ( epred58_0
    | op(e0,e4) != e3
    | op(e4,e4) != e4
    | ~ epred57_0 ),
    i_0_2915 ).

cnf(c_0_3951,plain,
    epred57_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3948,c_0_3840]),c_0_3847]),c_0_3949])]) ).

cnf(c_0_3952,plain,
    ( epred59_0
    | op(e4,e1) != e5
    | op(e4,e4) != e4
    | ~ epred58_0 ),
    i_0_2939 ).

cnf(c_0_3953,plain,
    epred58_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3950,c_0_3800]),c_0_3789]),c_0_3951])]) ).

cnf(c_0_3954,plain,
    ( epred60_0
    | op(e1,e4) != e5
    | op(e4,e5) != e6
    | ~ epred59_0 ),
    i_0_3005 ).

cnf(c_0_3955,plain,
    epred59_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3952,c_0_3848]),c_0_3789]),c_0_3953])]) ).

cnf(c_0_3956,plain,
    ( epred61_0
    | op(e5,e4) != e6
    | op(e5,e6) != e0
    | ~ epred60_0 ),
    i_0_3025 ).

cnf(c_0_3957,plain,
    epred60_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3954,c_0_3812]),c_0_3855]),c_0_3955])]) ).

cnf(c_0_3958,plain,
    ( epred62_0
    | op(e5,e5) != e1
    | op(e6,e5) != e0
    | ~ epred61_0 ),
    i_0_3068 ).

cnf(c_0_3959,plain,
    epred61_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3956,c_0_3867]),c_0_3871]),c_0_3957])]) ).

cnf(c_0_3960,plain,
    ( epred63_0
    | op(e5,e1) != e2
    | op(e5,e5) != e1
    | ~ epred62_0 ),
    i_0_3128 ).

cnf(c_0_3961,plain,
    epred62_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3958,c_0_3870]),c_0_3882]),c_0_3959])]) ).

cnf(c_0_3962,plain,
    ( epred64_0
    | op(e1,e5) != e2
    | op(e5,e3) != e3
    | ~ epred63_0 ),
    i_0_3203 ).

cnf(c_0_3963,plain,
    epred63_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3960,c_0_3863]),c_0_3870]),c_0_3961])]) ).

cnf(c_0_3964,plain,
    ( epred65_0
    | op(e3,e5) != e3
    | op(e5,e0) != e4
    | ~ epred64_0 ),
    i_0_3241 ).

cnf(c_0_3965,plain,
    epred64_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3962,c_0_3815]),c_0_3866]),c_0_3963])]) ).

cnf(c_0_3966,plain,
    ( epred66_0
    | op(e0,e5) != e4
    | op(e5,e2) != e5
    | ~ epred65_0 ),
    i_0_3309 ).

cnf(c_0_3967,plain,
    epred65_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3964,c_0_3843]),c_0_3858]),c_0_3965])]) ).

cnf(c_0_3968,plain,
    ( epred67_0
    | op(e2,e5) != e5
    | op(e5,e4) != e6
    | ~ epred66_0 ),
    i_0_3342 ).

cnf(c_0_3969,plain,
    epred66_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3966,c_0_3799]),c_0_3862]),c_0_3967])]) ).

cnf(c_0_3970,plain,
    ( epred68_0
    | op(e4,e5) != e6
    | op(e6,e5) != e0
    | ~ epred67_0 ),
    i_0_3376 ).

cnf(c_0_3971,plain,
    epred67_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3968,c_0_3827]),c_0_3867]),c_0_3969])]) ).

cnf(c_0_3972,plain,
    ( epred69_0
    | op(e5,e6) != e0
    | op(e6,e4) != e1
    | ~ epred68_0 ),
    i_0_3419 ).

cnf(c_0_3973,plain,
    epred68_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3970,c_0_3855]),c_0_3882]),c_0_3971])]) ).

cnf(c_0_3974,plain,
    ( epred70_0
    | op(e4,e6) != e1
    | op(e6,e2) != e2
    | ~ epred69_0 ),
    i_0_3477 ).

cnf(c_0_3975,plain,
    epred69_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3972,c_0_3871]),c_0_3883]),c_0_3973])]) ).

cnf(c_0_3976,plain,
    ( epred71_0
    | op(e2,e6) != e2
    | op(e6,e1) != e3
    | ~ epred70_0 ),
    i_0_3541 ).

cnf(c_0_3977,plain,
    epred70_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3974,c_0_3859]),c_0_3878]),c_0_3975])]) ).

cnf(c_0_3978,negated_conjecture,
    ( op(e0,e6) != e6
    | op(op(op(e0,e0),e0),e0) != e0
    | op(op(op(e0,e1),e0),e0) != e1
    | op(op(op(e0,e2),e0),e0) != e2
    | op(op(op(e0,e3),e0),e0) != e3
    | op(op(op(e0,e4),e0),e0) != e4
    | op(op(op(e0,e5),e0),e0) != e5
    | op(op(op(e0,e6),e0),e0) != e6
    | op(op(op(e1,e0),e1),e1) != e0
    | op(op(op(e1,e1),e1),e1) != e1
    | op(op(op(e1,e2),e1),e1) != e2
    | op(op(op(e1,e3),e1),e1) != e3
    | op(op(op(e1,e4),e1),e1) != e4
    | op(op(op(e1,e5),e1),e1) != e5
    | op(op(op(e1,e6),e1),e1) != e6
    | op(op(op(e2,e0),e2),e2) != e0
    | op(op(op(e2,e1),e2),e2) != e1
    | op(op(op(e2,e2),e2),e2) != e2
    | op(op(op(e2,e3),e2),e2) != e3
    | op(op(op(e2,e4),e2),e2) != e4
    | op(op(op(e2,e5),e2),e2) != e5
    | op(op(op(e2,e6),e2),e2) != e6
    | op(op(op(e3,e0),e3),e3) != e0
    | op(op(op(e3,e1),e3),e3) != e1
    | op(op(op(e3,e2),e3),e3) != e2
    | op(op(op(e3,e3),e3),e3) != e3
    | op(op(op(e3,e4),e3),e3) != e4
    | op(op(op(e3,e5),e3),e3) != e5
    | op(op(op(e3,e6),e3),e3) != e6
    | op(op(op(e4,e0),e4),e4) != e0
    | op(op(op(e4,e1),e4),e4) != e1
    | op(op(op(e4,e2),e4),e4) != e2
    | op(op(op(e4,e3),e4),e4) != e3
    | op(op(op(e4,e4),e4),e4) != e4
    | op(op(op(e4,e5),e4),e4) != e5
    | op(op(op(e4,e6),e4),e4) != e6
    | op(op(op(e5,e0),e5),e5) != e0
    | op(op(op(e5,e1),e5),e5) != e1
    | op(op(op(e5,e2),e5),e5) != e2
    | op(op(op(e5,e3),e5),e5) != e3
    | op(op(op(e5,e4),e5),e5) != e4
    | op(op(op(e5,e5),e5),e5) != e5
    | op(op(op(e5,e6),e5),e5) != e6
    | op(op(op(e6,e0),e6),e6) != e0
    | op(op(op(e6,e1),e6),e6) != e1
    | op(op(op(e6,e2),e6),e6) != e2
    | op(op(op(e6,e3),e6),e6) != e3
    | op(op(op(e6,e4),e6),e6) != e4
    | op(op(op(e6,e5),e6),e6) != e5
    | op(op(op(e6,e6),e6),e6) != e6
    | ~ epred74_0 ),
    i_0_77 ).

cnf(c_0_3979,plain,
    ( epred72_0
    | op(e1,e6) != e3
    | op(e6,e3) != e4
    | ~ epred71_0 ),
    i_0_3595 ).

cnf(c_0_3980,plain,
    epred71_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3976,c_0_3831]),c_0_3875]),c_0_3977])]) ).

cnf(c_0_3981,plain,
    ( epred74_0
    | op(e6,e0) != e6
    | op(e6,e6) != e5
    | ~ epred73_0 ),
    i_0_3661 ).

cnf(c_0_3982,negated_conjecture,
    ~ epred74_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3978,c_0_3803]),c_0_3788]),c_0_3819]),c_0_3804]),c_0_3795]),c_0_3804]),c_0_3788]),c_0_3792]),c_0_3788]),c_0_3819]),c_0_3796]),c_0_3858]),c_0_3847]),c_0_3799]),c_0_3847]),c_0_3832]),c_0_3800]),c_0_3832]),c_0_3858]),c_0_3803]),c_0_3874]),c_0_3874]),c_0_3819]),c_0_3807]),c_0_3851]),c_0_3823]),c_0_3835]),c_0_3878]),c_0_3820]),c_0_3851]),c_0_3795]),c_0_3824]),c_0_3878]),c_0_3823]),c_0_3827]),c_0_3862]),c_0_3862]),c_0_3828]),c_0_3795]),c_0_3807]),c_0_3831]),c_0_3823]),c_0_3835]),c_0_3804]),c_0_3792]),c_0_3792]),c_0_3807]),c_0_3848]),c_0_3863]),c_0_3808]),c_0_3875]),c_0_3836]),c_0_3811]),c_0_3808]),c_0_3875]),c_0_3815]),c_0_3820]),c_0_3848]),c_0_3812]),c_0_3863]),c_0_3820]),c_0_3816]),c_0_3836]),c_0_3808]),c_0_3832]),c_0_3866]),c_0_3839]),c_0_3835]),c_0_3879]),c_0_3852]),c_0_3836]),c_0_3811]),c_0_3811]),c_0_3839]),c_0_3796]),c_0_3866]),c_0_3843]),c_0_3839]),c_0_3796]),c_0_3840]),c_0_3824]),c_0_3879]),c_0_3844]),c_0_3852]),c_0_3824]),c_0_3858]),c_0_3855]),c_0_3882]),c_0_3862]),c_0_3870]),c_0_3815]),c_0_3863]),c_0_3827]),c_0_3870]),c_0_3866]),c_0_3843]),c_0_3843]),c_0_3870]),c_0_3815]),c_0_3827]),c_0_3867]),c_0_3882]),c_0_3799]),c_0_3871]),c_0_3799]),c_0_3855]),c_0_3847]),c_0_3840]),c_0_3828]),c_0_3851]),c_0_3800]),c_0_3840]),c_0_3848]),c_0_3867]),c_0_3883]),c_0_3852]),c_0_3828]),c_0_3800]),c_0_3855]),c_0_3883]),c_0_3812]),c_0_3789]),c_0_3789]),c_0_3789]),c_0_3859]),c_0_3812]),c_0_3867]),c_0_3874]),c_0_3886]),c_0_3871]),c_0_3878]),c_0_3831]),c_0_3831]),c_0_3875]),c_0_3844]),c_0_3859]),c_0_3879]),c_0_3859]),c_0_3816]),c_0_3882]),c_0_3803]),c_0_3886]),c_0_3883]),c_0_3816]),c_0_3844]),c_0_3886]),c_0_3871]),c_0_3803])]) ).

cnf(c_0_3983,plain,
    ( epred73_0
    | op(e3,e6) != e4
    | op(e6,e6) != e5
    | ~ epred72_0 ),
    i_0_3627 ).

cnf(c_0_3984,plain,
    epred72_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3979,c_0_3816]),c_0_3879]),c_0_3980])]) ).

cnf(c_0_3985,plain,
    ~ epred73_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3981,c_0_3874]),c_0_3886])]),c_0_3982]) ).

cnf(c_0_3986,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3983,c_0_3844]),c_0_3886]),c_0_3984])]),c_0_3985]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : ALG209+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 00:42:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 5.52/2.79  # ENIGMATIC: Solved by autoschedule:
% 5.52/2.79  # No SInE strategy applied
% 5.52/2.79  # Trying AutoSched0 for 150 seconds
% 5.52/2.79  # AutoSched0-Mode selected heuristic G_____0021_C18_F1_SE_CS_SP_S4S
% 5.52/2.79  # and selection function SelectNewComplexAHPNS.
% 5.52/2.79  #
% 5.52/2.79  # Preprocessing time       : 0.061 s
% 5.52/2.79  
% 5.52/2.79  # Proof found!
% 5.52/2.79  # SZS status Theorem
% 5.52/2.79  # SZS output start CNFRefutation
% See solution above
% 5.52/2.79  # Training examples: 0 positive, 0 negative
% 5.52/2.79  
% 5.52/2.79  # -------------------------------------------------
% 5.52/2.79  # User time                : 0.090 s
% 5.52/2.79  # System time              : 0.008 s
% 5.52/2.79  # Total time               : 0.098 s
% 5.52/2.79  # Maximum resident set size: 7120 pages
% 5.52/2.79  
%------------------------------------------------------------------------------