TSTP Solution File: ALG188+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG188+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 15:32:50 EDT 2022

% Result   : Theorem 7.64s 2.45s
% Output   : CNFRefutation 7.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   63
% Syntax   : Number of clauses     :  200 (  88 unt;   0 nHn; 200 RR)
%            Number of literals    :  558 ( 300 equ; 361 neg)
%            Maximal clause size   :   28 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   39 (  37 usr;  38 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_69,plain,
    ( epred2_0
    | op(e0,e2) != e4
    | op(e0,e3) != e1
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_69) ).

cnf(i_0_32,plain,
    op(e0,e3) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_32) ).

cnf(i_0_33,plain,
    op(e0,e2) = e4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_33) ).

cnf(i_0_62,plain,
    ( epred1_0
    | op(e0,e0) != e0
    | op(e0,e1) != e3
    | op(e0,op(e0,e0)) != e0
    | op(e0,op(e0,e1)) != e1
    | op(e0,op(e0,e2)) != e2
    | op(e0,op(e0,e3)) != e3
    | op(e0,op(e0,e4)) != e4
    | op(e1,op(e1,e0)) != e0
    | op(e1,op(e1,e1)) != e1
    | op(e1,op(e1,e2)) != e2
    | op(e1,op(e1,e3)) != e3
    | op(e1,op(e1,e4)) != e4
    | op(e2,op(e2,e0)) != e0
    | op(e2,op(e2,e1)) != e1
    | op(e2,op(e2,e2)) != e2
    | op(e2,op(e2,e3)) != e3
    | op(e2,op(e2,e4)) != e4
    | op(e3,op(e3,e0)) != e0
    | op(e3,op(e3,e1)) != e1
    | op(e3,op(e3,e2)) != e2
    | op(e3,op(e3,e3)) != e3
    | op(e3,op(e3,e4)) != e4
    | op(e4,op(e4,e0)) != e0
    | op(e4,op(e4,e1)) != e1
    | op(e4,op(e4,e2)) != e2
    | op(e4,op(e4,e3)) != e3
    | op(e4,op(e4,e4)) != e4 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_62) ).

cnf(i_0_35,plain,
    op(e0,e0) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_35) ).

cnf(i_0_34,plain,
    op(e0,e1) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_34) ).

cnf(i_0_31,plain,
    op(e0,e4) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_31) ).

cnf(i_0_30,plain,
    op(e1,e0) = e4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_30) ).

cnf(i_0_26,plain,
    op(e1,e4) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_26) ).

cnf(i_0_29,plain,
    op(e1,e1) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_29) ).

cnf(i_0_27,plain,
    op(e1,e3) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_27) ).

cnf(i_0_28,plain,
    op(e1,e2) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_28) ).

cnf(i_0_20,plain,
    op(e3,e0) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_20) ).

cnf(i_0_18,plain,
    op(e3,e2) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_18) ).

cnf(i_0_19,plain,
    op(e3,e1) = e4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_19) ).

cnf(i_0_16,plain,
    op(e3,e4) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_16) ).

cnf(i_0_17,plain,
    op(e3,e3) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_17) ).

cnf(i_0_25,plain,
    op(e2,e0) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_25) ).

cnf(i_0_24,plain,
    op(e2,e1) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_24) ).

cnf(i_0_22,plain,
    op(e2,e3) = e4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_22) ).

cnf(i_0_21,plain,
    op(e2,e4) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_21) ).

cnf(i_0_23,plain,
    op(e2,e2) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_23) ).

cnf(i_0_15,plain,
    op(e4,e0) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_15) ).

cnf(i_0_12,plain,
    op(e4,e3) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_12) ).

cnf(i_0_14,plain,
    op(e4,e1) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_14) ).

cnf(i_0_13,plain,
    op(e4,e2) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_13) ).

cnf(i_0_11,plain,
    op(e4,e4) = e4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_11) ).

cnf(i_0_101,plain,
    ( epred3_0
    | op(e0,e4) != e2
    | op(e1,e0) != e4
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_101) ).

cnf(i_0_132,plain,
    ( epred4_0
    | op(e1,e1) != e1
    | op(e1,e2) != e3
    | ~ epred3_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_132) ).

cnf(i_0_155,plain,
    ( epred5_0
    | op(e1,e3) != e2
    | op(e1,e4) != e0
    | ~ epred4_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_155) ).

cnf(i_0_185,plain,
    ( epred6_0
    | op(e2,e0) != e1
    | op(e2,e1) != e0
    | ~ epred5_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_185) ).

cnf(i_0_201,plain,
    ( epred7_0
    | op(e2,e2) != e2
    | op(e2,e3) != e4
    | ~ epred6_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_201) ).

cnf(i_0_223,plain,
    ( epred8_0
    | op(e2,e4) != e3
    | op(e3,e0) != e2
    | ~ epred7_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_223) ).

cnf(i_0_245,plain,
    ( epred9_0
    | op(e3,e1) != e4
    | op(e3,e2) != e0
    | ~ epred8_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_245) ).

cnf(i_0_274,plain,
    ( epred10_0
    | op(e3,e3) != e3
    | op(e3,e4) != e1
    | ~ epred9_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_274) ).

cnf(i_0_298,plain,
    ( epred11_0
    | op(e4,e0) != e3
    | op(e4,e1) != e2
    | ~ epred10_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_298) ).

cnf(i_0_335,plain,
    ( epred12_0
    | op(e4,e2) != e1
    | op(e4,e3) != e0
    | ~ epred11_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_335) ).

cnf(i_0_345,plain,
    ( epred13_0
    | op(e0,e0) != e0
    | op(e4,e4) != e4
    | ~ epred12_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_345) ).

cnf(i_0_387,plain,
    ( epred14_0
    | op(e0,e0) != e0
    | op(e0,e3) != e1
    | ~ epred13_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_387) ).

cnf(i_0_401,plain,
    ( epred15_0
    | op(e0,e4) != e2
    | op(e2,e0) != e1
    | ~ epred14_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_401) ).

cnf(i_0_424,plain,
    ( epred16_0
    | op(e0,e1) != e3
    | op(e3,e0) != e2
    | ~ epred15_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_424) ).

cnf(i_0_443,plain,
    ( epred17_0
    | op(e0,e2) != e4
    | op(e4,e0) != e3
    | ~ epred16_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_443) ).

cnf(i_0_481,plain,
    ( epred18_0
    | op(e1,e0) != e4
    | op(e1,e4) != e0
    | ~ epred17_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_481) ).

cnf(i_0_504,plain,
    ( epred19_0
    | op(e1,e1) != e1
    | op(e2,e1) != e0
    | ~ epred18_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_504) ).

cnf(i_0_532,plain,
    ( epred20_0
    | op(e1,e1) != e1
    | op(e1,e3) != e2
    | ~ epred19_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_532) ).

cnf(i_0_543,plain,
    ( epred21_0
    | op(e1,e2) != e3
    | op(e4,e1) != e2
    | ~ epred20_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_543) ).

cnf(i_0_590,plain,
    ( epred22_0
    | op(e0,e1) != e3
    | op(e1,e0) != e4
    | ~ epred21_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_590) ).

cnf(i_0_599,plain,
    ( epred23_0
    | op(e2,e1) != e0
    | op(e3,e1) != e4
    | ~ epred22_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_599) ).

cnf(i_0_625,plain,
    ( epred24_0
    | op(e2,e0) != e1
    | op(e3,e2) != e0
    | ~ epred23_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_625) ).

cnf(i_0_643,plain,
    ( epred25_0
    | op(e2,e2) != e2
    | op(e4,e2) != e1
    | ~ epred24_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_643) ).

cnf(i_0_676,plain,
    ( epred26_0
    | op(e2,e2) != e2
    | op(e2,e4) != e3
    | ~ epred25_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_676) ).

cnf(i_0_707,plain,
    ( epred27_0
    | op(e1,e2) != e3
    | op(e2,e3) != e4
    | ~ epred26_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_707) ).

cnf(i_0_738,plain,
    ( epred28_0
    | op(e0,e2) != e4
    | op(e3,e2) != e0
    | ~ epred27_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_738) ).

cnf(i_0_741,plain,
    ( epred29_0
    | op(e3,e4) != e1
    | op(e4,e3) != e0
    | ~ epred28_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_741) ).

cnf(i_0_790,plain,
    ( epred30_0
    | op(e0,e3) != e1
    | op(e3,e0) != e2
    | ~ epred29_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_790) ).

cnf(i_0_807,plain,
    ( epred31_0
    | op(e1,e3) != e2
    | op(e3,e3) != e3
    | ~ epred30_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_807) ).

cnf(i_0_824,plain,
    ( epred32_0
    | op(e3,e1) != e4
    | op(e3,e3) != e3
    | ~ epred31_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_824) ).

cnf(i_0_852,plain,
    ( epred33_0
    | op(e2,e3) != e4
    | op(e4,e3) != e0
    | ~ epred32_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_852) ).

cnf(i_0_883,plain,
    ( epred34_0
    | op(e1,e4) != e0
    | op(e4,e2) != e1
    | ~ epred33_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_883) ).

cnf(i_0_899,plain,
    ( epred35_0
    | op(e3,e4) != e1
    | op(e4,e1) != e2
    | ~ epred34_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_899) ).

cnf(i_0_940,plain,
    ( epred36_0
    | op(e0,e4) != e2
    | op(e4,e0) != e3
    | ~ epred35_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_940) ).

cnf(i_0_951,plain,
    ( epred37_0
    | op(e2,e4) != e3
    | op(e4,e4) != e4
    | ~ epred36_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_951) ).

cnf(i_0_36,negated_conjecture,
    ( op(e4,e4) != e4
    | op(op(e0,e0),op(e0,e0)) != e0
    | op(op(e0,e1),op(e1,e0)) != e1
    | op(op(e0,e2),op(e2,e0)) != e2
    | op(op(e0,e3),op(e3,e0)) != e3
    | op(op(e0,e4),op(e4,e0)) != e4
    | op(op(e1,e0),op(e0,e1)) != e0
    | op(op(e1,e1),op(e1,e1)) != e1
    | op(op(e1,e2),op(e2,e1)) != e2
    | op(op(e1,e3),op(e3,e1)) != e3
    | op(op(e1,e4),op(e4,e1)) != e4
    | op(op(e2,e0),op(e0,e2)) != e0
    | op(op(e2,e1),op(e1,e2)) != e1
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(op(e2,e3),op(e3,e2)) != e3
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e3,e0),op(e0,e3)) != e0
    | op(op(e3,e1),op(e1,e3)) != e1
    | op(op(e3,e2),op(e2,e3)) != e2
    | op(op(e3,e3),op(e3,e3)) != e3
    | op(op(e3,e4),op(e4,e3)) != e4
    | op(op(e4,e0),op(e0,e4)) != e0
    | op(op(e4,e1),op(e1,e4)) != e1
    | op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e4,e3),op(e3,e4)) != e3
    | op(op(e4,e4),op(e4,e4)) != e4
    | ~ epred37_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6_izknmw/lgb.p',i_0_36) ).

cnf(c_0_1015,plain,
    ( epred2_0
    | op(e0,e2) != e4
    | op(e0,e3) != e1
    | ~ epred1_0 ),
    i_0_69 ).

cnf(c_0_1016,plain,
    op(e0,e3) = e1,
    i_0_32 ).

cnf(c_0_1017,plain,
    op(e0,e2) = e4,
    i_0_33 ).

cnf(c_0_1018,plain,
    ( epred1_0
    | op(e0,e0) != e0
    | op(e0,e1) != e3
    | op(e0,op(e0,e0)) != e0
    | op(e0,op(e0,e1)) != e1
    | op(e0,op(e0,e2)) != e2
    | op(e0,op(e0,e3)) != e3
    | op(e0,op(e0,e4)) != e4
    | op(e1,op(e1,e0)) != e0
    | op(e1,op(e1,e1)) != e1
    | op(e1,op(e1,e2)) != e2
    | op(e1,op(e1,e3)) != e3
    | op(e1,op(e1,e4)) != e4
    | op(e2,op(e2,e0)) != e0
    | op(e2,op(e2,e1)) != e1
    | op(e2,op(e2,e2)) != e2
    | op(e2,op(e2,e3)) != e3
    | op(e2,op(e2,e4)) != e4
    | op(e3,op(e3,e0)) != e0
    | op(e3,op(e3,e1)) != e1
    | op(e3,op(e3,e2)) != e2
    | op(e3,op(e3,e3)) != e3
    | op(e3,op(e3,e4)) != e4
    | op(e4,op(e4,e0)) != e0
    | op(e4,op(e4,e1)) != e1
    | op(e4,op(e4,e2)) != e2
    | op(e4,op(e4,e3)) != e3
    | op(e4,op(e4,e4)) != e4 ),
    i_0_62 ).

cnf(c_0_1019,plain,
    op(e0,e0) = e0,
    i_0_35 ).

cnf(c_0_1020,plain,
    op(e0,e1) = e3,
    i_0_34 ).

cnf(c_0_1021,plain,
    op(e0,e4) = e2,
    i_0_31 ).

cnf(c_0_1022,plain,
    op(e1,e0) = e4,
    i_0_30 ).

cnf(c_0_1023,plain,
    op(e1,e4) = e0,
    i_0_26 ).

cnf(c_0_1024,plain,
    op(e1,e1) = e1,
    i_0_29 ).

cnf(c_0_1025,plain,
    op(e1,e3) = e2,
    i_0_27 ).

cnf(c_0_1026,plain,
    op(e1,e2) = e3,
    i_0_28 ).

cnf(c_0_1027,plain,
    op(e3,e0) = e2,
    i_0_20 ).

cnf(c_0_1028,plain,
    op(e3,e2) = e0,
    i_0_18 ).

cnf(c_0_1029,plain,
    op(e3,e1) = e4,
    i_0_19 ).

cnf(c_0_1030,plain,
    op(e3,e4) = e1,
    i_0_16 ).

cnf(c_0_1031,plain,
    op(e3,e3) = e3,
    i_0_17 ).

cnf(c_0_1032,plain,
    op(e2,e0) = e1,
    i_0_25 ).

cnf(c_0_1033,plain,
    op(e2,e1) = e0,
    i_0_24 ).

cnf(c_0_1034,plain,
    op(e2,e3) = e4,
    i_0_22 ).

cnf(c_0_1035,plain,
    op(e2,e4) = e3,
    i_0_21 ).

cnf(c_0_1036,plain,
    op(e2,e2) = e2,
    i_0_23 ).

cnf(c_0_1037,plain,
    op(e4,e0) = e3,
    i_0_15 ).

cnf(c_0_1038,plain,
    op(e4,e3) = e0,
    i_0_12 ).

cnf(c_0_1039,plain,
    op(e4,e1) = e2,
    i_0_14 ).

cnf(c_0_1040,plain,
    op(e4,e2) = e1,
    i_0_13 ).

cnf(c_0_1041,plain,
    op(e4,e4) = e4,
    i_0_11 ).

cnf(c_0_1042,plain,
    ( epred3_0
    | op(e0,e4) != e2
    | op(e1,e0) != e4
    | ~ epred2_0 ),
    i_0_101 ).

cnf(c_0_1043,plain,
    ( epred2_0
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1015,c_0_1016]),c_0_1017])]) ).

cnf(c_0_1044,plain,
    epred1_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)],[c_0_1018,c_0_1019]),c_0_1020]),c_0_1019]),c_0_1019]),c_0_1020]),c_0_1016]),c_0_1016]),c_0_1020]),c_0_1017]),c_0_1021]),c_0_1021]),c_0_1017]),c_0_1022]),c_0_1023]),c_0_1024]),c_0_1024]),c_0_1025]),c_0_1026]),c_0_1026]),c_0_1025]),c_0_1023]),c_0_1022]),c_0_1027]),c_0_1028]),c_0_1029]),c_0_1030]),c_0_1031]),c_0_1031]),c_0_1028]),c_0_1027]),c_0_1030]),c_0_1029]),c_0_1032]),c_0_1033]),c_0_1033]),c_0_1032]),c_0_1034]),c_0_1035]),c_0_1036]),c_0_1036]),c_0_1035]),c_0_1034]),c_0_1037]),c_0_1038]),c_0_1039]),c_0_1040]),c_0_1038]),c_0_1037]),c_0_1040]),c_0_1039]),c_0_1041]),c_0_1041])]) ).

cnf(c_0_1045,plain,
    ( epred4_0
    | op(e1,e1) != e1
    | op(e1,e2) != e3
    | ~ epred3_0 ),
    i_0_132 ).

cnf(c_0_1046,plain,
    ( epred3_0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1042,c_0_1021]),c_0_1022])]) ).

cnf(c_0_1047,plain,
    epred2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1043,c_0_1044])]) ).

cnf(c_0_1048,plain,
    ( epred5_0
    | op(e1,e3) != e2
    | op(e1,e4) != e0
    | ~ epred4_0 ),
    i_0_155 ).

cnf(c_0_1049,plain,
    ( epred4_0
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1045,c_0_1024]),c_0_1026])]) ).

cnf(c_0_1050,plain,
    epred3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1046,c_0_1047])]) ).

cnf(c_0_1051,plain,
    ( epred6_0
    | op(e2,e0) != e1
    | op(e2,e1) != e0
    | ~ epred5_0 ),
    i_0_185 ).

cnf(c_0_1052,plain,
    ( epred5_0
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1048,c_0_1025]),c_0_1023])]) ).

cnf(c_0_1053,plain,
    epred4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1049,c_0_1050])]) ).

cnf(c_0_1054,plain,
    ( epred7_0
    | op(e2,e2) != e2
    | op(e2,e3) != e4
    | ~ epred6_0 ),
    i_0_201 ).

cnf(c_0_1055,plain,
    ( epred6_0
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1051,c_0_1032]),c_0_1033])]) ).

cnf(c_0_1056,plain,
    epred5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1052,c_0_1053])]) ).

cnf(c_0_1057,plain,
    ( epred8_0
    | op(e2,e4) != e3
    | op(e3,e0) != e2
    | ~ epred7_0 ),
    i_0_223 ).

cnf(c_0_1058,plain,
    ( epred7_0
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1054,c_0_1034]),c_0_1036])]) ).

cnf(c_0_1059,plain,
    epred6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1055,c_0_1056])]) ).

cnf(c_0_1060,plain,
    ( epred9_0
    | op(e3,e1) != e4
    | op(e3,e2) != e0
    | ~ epred8_0 ),
    i_0_245 ).

cnf(c_0_1061,plain,
    ( epred8_0
    | ~ epred7_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1057,c_0_1027]),c_0_1035])]) ).

cnf(c_0_1062,plain,
    epred7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1058,c_0_1059])]) ).

cnf(c_0_1063,plain,
    ( epred10_0
    | op(e3,e3) != e3
    | op(e3,e4) != e1
    | ~ epred9_0 ),
    i_0_274 ).

cnf(c_0_1064,plain,
    ( epred9_0
    | ~ epred8_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1060,c_0_1029]),c_0_1028])]) ).

cnf(c_0_1065,plain,
    epred8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1061,c_0_1062])]) ).

cnf(c_0_1066,plain,
    ( epred11_0
    | op(e4,e0) != e3
    | op(e4,e1) != e2
    | ~ epred10_0 ),
    i_0_298 ).

cnf(c_0_1067,plain,
    ( epred10_0
    | ~ epred9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1063,c_0_1031]),c_0_1030])]) ).

cnf(c_0_1068,plain,
    epred9_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1064,c_0_1065])]) ).

cnf(c_0_1069,plain,
    ( epred12_0
    | op(e4,e2) != e1
    | op(e4,e3) != e0
    | ~ epred11_0 ),
    i_0_335 ).

cnf(c_0_1070,plain,
    ( epred11_0
    | ~ epred10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1066,c_0_1037]),c_0_1039])]) ).

cnf(c_0_1071,plain,
    epred10_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1067,c_0_1068])]) ).

cnf(c_0_1072,plain,
    ( epred13_0
    | op(e0,e0) != e0
    | op(e4,e4) != e4
    | ~ epred12_0 ),
    i_0_345 ).

cnf(c_0_1073,plain,
    ( epred12_0
    | ~ epred11_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1069,c_0_1038]),c_0_1040])]) ).

cnf(c_0_1074,plain,
    epred11_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1070,c_0_1071])]) ).

cnf(c_0_1075,plain,
    ( epred14_0
    | op(e0,e0) != e0
    | op(e0,e3) != e1
    | ~ epred13_0 ),
    i_0_387 ).

cnf(c_0_1076,plain,
    ( epred13_0
    | ~ epred12_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1072,c_0_1019]),c_0_1041])]) ).

cnf(c_0_1077,plain,
    epred12_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1073,c_0_1074])]) ).

cnf(c_0_1078,plain,
    ( epred15_0
    | op(e0,e4) != e2
    | op(e2,e0) != e1
    | ~ epred14_0 ),
    i_0_401 ).

cnf(c_0_1079,plain,
    ( epred14_0
    | ~ epred13_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1075,c_0_1019]),c_0_1016])]) ).

cnf(c_0_1080,plain,
    epred13_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1076,c_0_1077])]) ).

cnf(c_0_1081,plain,
    ( epred16_0
    | op(e0,e1) != e3
    | op(e3,e0) != e2
    | ~ epred15_0 ),
    i_0_424 ).

cnf(c_0_1082,plain,
    ( epred15_0
    | ~ epred14_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1078,c_0_1021]),c_0_1032])]) ).

cnf(c_0_1083,plain,
    epred14_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1079,c_0_1080])]) ).

cnf(c_0_1084,plain,
    ( epred17_0
    | op(e0,e2) != e4
    | op(e4,e0) != e3
    | ~ epred16_0 ),
    i_0_443 ).

cnf(c_0_1085,plain,
    ( epred16_0
    | ~ epred15_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1081,c_0_1020]),c_0_1027])]) ).

cnf(c_0_1086,plain,
    epred15_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1082,c_0_1083])]) ).

cnf(c_0_1087,plain,
    ( epred18_0
    | op(e1,e0) != e4
    | op(e1,e4) != e0
    | ~ epred17_0 ),
    i_0_481 ).

cnf(c_0_1088,plain,
    ( epred17_0
    | ~ epred16_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1084,c_0_1017]),c_0_1037])]) ).

cnf(c_0_1089,plain,
    epred16_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1085,c_0_1086])]) ).

cnf(c_0_1090,plain,
    ( epred19_0
    | op(e1,e1) != e1
    | op(e2,e1) != e0
    | ~ epred18_0 ),
    i_0_504 ).

cnf(c_0_1091,plain,
    ( epred18_0
    | ~ epred17_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1087,c_0_1022]),c_0_1023])]) ).

cnf(c_0_1092,plain,
    epred17_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1088,c_0_1089])]) ).

cnf(c_0_1093,plain,
    ( epred20_0
    | op(e1,e1) != e1
    | op(e1,e3) != e2
    | ~ epred19_0 ),
    i_0_532 ).

cnf(c_0_1094,plain,
    ( epred19_0
    | ~ epred18_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1090,c_0_1024]),c_0_1033])]) ).

cnf(c_0_1095,plain,
    epred18_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1091,c_0_1092])]) ).

cnf(c_0_1096,plain,
    ( epred21_0
    | op(e1,e2) != e3
    | op(e4,e1) != e2
    | ~ epred20_0 ),
    i_0_543 ).

cnf(c_0_1097,plain,
    ( epred20_0
    | ~ epred19_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1093,c_0_1024]),c_0_1025])]) ).

cnf(c_0_1098,plain,
    epred19_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1094,c_0_1095])]) ).

cnf(c_0_1099,plain,
    ( epred22_0
    | op(e0,e1) != e3
    | op(e1,e0) != e4
    | ~ epred21_0 ),
    i_0_590 ).

cnf(c_0_1100,plain,
    ( epred21_0
    | ~ epred20_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1096,c_0_1026]),c_0_1039])]) ).

cnf(c_0_1101,plain,
    epred20_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1097,c_0_1098])]) ).

cnf(c_0_1102,plain,
    ( epred23_0
    | op(e2,e1) != e0
    | op(e3,e1) != e4
    | ~ epred22_0 ),
    i_0_599 ).

cnf(c_0_1103,plain,
    ( epred22_0
    | ~ epred21_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1099,c_0_1020]),c_0_1022])]) ).

cnf(c_0_1104,plain,
    epred21_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1100,c_0_1101])]) ).

cnf(c_0_1105,plain,
    ( epred24_0
    | op(e2,e0) != e1
    | op(e3,e2) != e0
    | ~ epred23_0 ),
    i_0_625 ).

cnf(c_0_1106,plain,
    ( epred23_0
    | ~ epred22_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1102,c_0_1029]),c_0_1033])]) ).

cnf(c_0_1107,plain,
    epred22_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1103,c_0_1104])]) ).

cnf(c_0_1108,plain,
    ( epred25_0
    | op(e2,e2) != e2
    | op(e4,e2) != e1
    | ~ epred24_0 ),
    i_0_643 ).

cnf(c_0_1109,plain,
    ( epred24_0
    | ~ epred23_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1105,c_0_1028]),c_0_1032])]) ).

cnf(c_0_1110,plain,
    epred23_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1106,c_0_1107])]) ).

cnf(c_0_1111,plain,
    ( epred26_0
    | op(e2,e2) != e2
    | op(e2,e4) != e3
    | ~ epred25_0 ),
    i_0_676 ).

cnf(c_0_1112,plain,
    ( epred25_0
    | ~ epred24_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1108,c_0_1036]),c_0_1040])]) ).

cnf(c_0_1113,plain,
    epred24_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1109,c_0_1110])]) ).

cnf(c_0_1114,plain,
    ( epred27_0
    | op(e1,e2) != e3
    | op(e2,e3) != e4
    | ~ epred26_0 ),
    i_0_707 ).

cnf(c_0_1115,plain,
    ( epred26_0
    | ~ epred25_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1111,c_0_1036]),c_0_1035])]) ).

cnf(c_0_1116,plain,
    epred25_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1112,c_0_1113])]) ).

cnf(c_0_1117,plain,
    ( epred28_0
    | op(e0,e2) != e4
    | op(e3,e2) != e0
    | ~ epred27_0 ),
    i_0_738 ).

cnf(c_0_1118,plain,
    ( epred27_0
    | ~ epred26_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1114,c_0_1026]),c_0_1034])]) ).

cnf(c_0_1119,plain,
    epred26_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1115,c_0_1116])]) ).

cnf(c_0_1120,plain,
    ( epred29_0
    | op(e3,e4) != e1
    | op(e4,e3) != e0
    | ~ epred28_0 ),
    i_0_741 ).

cnf(c_0_1121,plain,
    ( epred28_0
    | ~ epred27_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1117,c_0_1017]),c_0_1028])]) ).

cnf(c_0_1122,plain,
    epred27_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1118,c_0_1119])]) ).

cnf(c_0_1123,plain,
    ( epred30_0
    | op(e0,e3) != e1
    | op(e3,e0) != e2
    | ~ epred29_0 ),
    i_0_790 ).

cnf(c_0_1124,plain,
    ( epred29_0
    | ~ epred28_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1120,c_0_1030]),c_0_1038])]) ).

cnf(c_0_1125,plain,
    epred28_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1121,c_0_1122])]) ).

cnf(c_0_1126,plain,
    ( epred31_0
    | op(e1,e3) != e2
    | op(e3,e3) != e3
    | ~ epred30_0 ),
    i_0_807 ).

cnf(c_0_1127,plain,
    ( epred30_0
    | ~ epred29_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1123,c_0_1016]),c_0_1027])]) ).

cnf(c_0_1128,plain,
    epred29_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1124,c_0_1125])]) ).

cnf(c_0_1129,plain,
    ( epred32_0
    | op(e3,e1) != e4
    | op(e3,e3) != e3
    | ~ epred31_0 ),
    i_0_824 ).

cnf(c_0_1130,plain,
    ( epred31_0
    | ~ epred30_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1126,c_0_1025]),c_0_1031])]) ).

cnf(c_0_1131,plain,
    epred30_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1127,c_0_1128])]) ).

cnf(c_0_1132,plain,
    ( epred33_0
    | op(e2,e3) != e4
    | op(e4,e3) != e0
    | ~ epred32_0 ),
    i_0_852 ).

cnf(c_0_1133,plain,
    ( epred32_0
    | ~ epred31_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1129,c_0_1029]),c_0_1031])]) ).

cnf(c_0_1134,plain,
    epred31_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1130,c_0_1131])]) ).

cnf(c_0_1135,plain,
    ( epred34_0
    | op(e1,e4) != e0
    | op(e4,e2) != e1
    | ~ epred33_0 ),
    i_0_883 ).

cnf(c_0_1136,plain,
    ( epred33_0
    | ~ epred32_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1132,c_0_1034]),c_0_1038])]) ).

cnf(c_0_1137,plain,
    epred32_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1133,c_0_1134])]) ).

cnf(c_0_1138,plain,
    ( epred35_0
    | op(e3,e4) != e1
    | op(e4,e1) != e2
    | ~ epred34_0 ),
    i_0_899 ).

cnf(c_0_1139,plain,
    ( epred34_0
    | ~ epred33_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1135,c_0_1023]),c_0_1040])]) ).

cnf(c_0_1140,plain,
    epred33_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1136,c_0_1137])]) ).

cnf(c_0_1141,plain,
    ( epred36_0
    | op(e0,e4) != e2
    | op(e4,e0) != e3
    | ~ epred35_0 ),
    i_0_940 ).

cnf(c_0_1142,plain,
    ( epred35_0
    | ~ epred34_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1138,c_0_1030]),c_0_1039])]) ).

cnf(c_0_1143,plain,
    epred34_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1139,c_0_1140])]) ).

cnf(c_0_1144,plain,
    ( epred37_0
    | op(e2,e4) != e3
    | op(e4,e4) != e4
    | ~ epred36_0 ),
    i_0_951 ).

cnf(c_0_1145,plain,
    ( epred36_0
    | ~ epred35_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1141,c_0_1021]),c_0_1037])]) ).

cnf(c_0_1146,plain,
    epred35_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1142,c_0_1143])]) ).

cnf(c_0_1147,negated_conjecture,
    ( op(e4,e4) != e4
    | op(op(e0,e0),op(e0,e0)) != e0
    | op(op(e0,e1),op(e1,e0)) != e1
    | op(op(e0,e2),op(e2,e0)) != e2
    | op(op(e0,e3),op(e3,e0)) != e3
    | op(op(e0,e4),op(e4,e0)) != e4
    | op(op(e1,e0),op(e0,e1)) != e0
    | op(op(e1,e1),op(e1,e1)) != e1
    | op(op(e1,e2),op(e2,e1)) != e2
    | op(op(e1,e3),op(e3,e1)) != e3
    | op(op(e1,e4),op(e4,e1)) != e4
    | op(op(e2,e0),op(e0,e2)) != e0
    | op(op(e2,e1),op(e1,e2)) != e1
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(op(e2,e3),op(e3,e2)) != e3
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e3,e0),op(e0,e3)) != e0
    | op(op(e3,e1),op(e1,e3)) != e1
    | op(op(e3,e2),op(e2,e3)) != e2
    | op(op(e3,e3),op(e3,e3)) != e3
    | op(op(e3,e4),op(e4,e3)) != e4
    | op(op(e4,e0),op(e0,e4)) != e0
    | op(op(e4,e1),op(e1,e4)) != e1
    | op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e4,e3),op(e3,e4)) != e3
    | op(op(e4,e4),op(e4,e4)) != e4
    | ~ epred37_0 ),
    i_0_36 ).

cnf(c_0_1148,plain,
    ( epred37_0
    | ~ epred36_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1144,c_0_1035]),c_0_1041])]) ).

cnf(c_0_1149,plain,
    epred36_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1145,c_0_1146])]) ).

cnf(c_0_1150,negated_conjecture,
    ~ epred37_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)],[c_0_1147,c_0_1041]),c_0_1019]),c_0_1019]),c_0_1019]),c_0_1020]),c_0_1022]),c_0_1030]),c_0_1016]),c_0_1027]),c_0_1026]),c_0_1017]),c_0_1032]),c_0_1039]),c_0_1021]),c_0_1037]),c_0_1034]),c_0_1022]),c_0_1020]),c_0_1038]),c_0_1024]),c_0_1024]),c_0_1024]),c_0_1025]),c_0_1029]),c_0_1035]),c_0_1026]),c_0_1033]),c_0_1027]),c_0_1023]),c_0_1039]),c_0_1017]),c_0_1027]),c_0_1016]),c_0_1033]),c_0_1029]),c_0_1025]),c_0_1040]),c_0_1031]),c_0_1031]),c_0_1031]),c_0_1028]),c_0_1034]),c_0_1021]),c_0_1030]),c_0_1038]),c_0_1022]),c_0_1032]),c_0_1017]),c_0_1023]),c_0_1033]),c_0_1026]),c_0_1016]),c_0_1034]),c_0_1028]),c_0_1037]),c_0_1036]),c_0_1036]),c_0_1036]),c_0_1035]),c_0_1040]),c_0_1029]),c_0_1037]),c_0_1021]),c_0_1028]),c_0_1039]),c_0_1023]),c_0_1032]),c_0_1038]),c_0_1030]),c_0_1020]),c_0_1040]),c_0_1035]),c_0_1025]),c_0_1041]),c_0_1041]),c_0_1041])]) ).

cnf(c_0_1151,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1148,c_0_1149])]),c_0_1150]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : ALG188+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n023.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Wed Jun  8 18:43:54 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.64/2.45  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.64/2.45  # No SInE strategy applied
% 7.64/2.45  # Trying AutoSched0 for 150 seconds
% 7.64/2.45  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.64/2.45  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.64/2.45  #
% 7.64/2.45  # Preprocessing time       : 0.036 s
% 7.64/2.45  # Presaturation interreduction done
% 7.64/2.45  
% 7.64/2.45  # Proof found!
% 7.64/2.45  # SZS status Theorem
% 7.64/2.45  # SZS output start CNFRefutation
% See solution above
% 7.64/2.45  # Training examples: 0 positive, 0 negative
% 7.64/2.45  
% 7.64/2.45  # -------------------------------------------------
% 7.64/2.45  # User time                : 0.050 s
% 7.64/2.45  # System time              : 0.010 s
% 7.64/2.45  # Total time               : 0.059 s
% 7.64/2.45  # Maximum resident set size: 7124 pages
% 7.64/2.45  
%------------------------------------------------------------------------------