TSTP Solution File: ALG186+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG186+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 5.34s 2.78s
% Output   : CNFRefutation 5.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   69
% Syntax   : Number of clauses     :  220 (  99 unt;   2 nHn; 220 RR)
%            Number of literals    :  711 ( 443 equ; 506 neg)
%            Maximal clause size   :   26 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   40 (  38 usr;  39 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_76,plain,
    ( epred2_0
    | op(e0,e1) != e2
    | op(e0,e2) != e0
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_76) ).

cnf(i_0_34,plain,
    op(e0,e1) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_34) ).

cnf(i_0_33,plain,
    op(e0,e2) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_33) ).

cnf(i_0_58,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e1
    | op(e2,e0) = e2
    | op(e3,e0) = e3
    | op(e4,e0) = e4
    | epred1_0
    | op(e0,e0) != e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_58) ).

cnf(i_0_35,plain,
    op(e0,e0) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_35) ).

cnf(i_0_20,plain,
    op(e3,e0) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_20) ).

cnf(i_0_30,plain,
    op(e1,e0) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_30) ).

cnf(i_0_15,plain,
    op(e4,e0) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_15) ).

cnf(i_0_25,plain,
    op(e2,e0) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_25) ).

cnf(i_0_8,plain,
    e3 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_8) ).

cnf(i_0_1,plain,
    e4 != e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_1) ).

cnf(i_0_10,plain,
    e1 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_10) ).

cnf(i_0_2,plain,
    e4 != e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_2) ).

cnf(i_0_6,plain,
    e2 != e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_6) ).

cnf(i_0_102,plain,
    ( epred3_0
    | op(e0,e3) != e1
    | op(e0,e4) != e4
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_102) ).

cnf(i_0_32,plain,
    op(e0,e3) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_32) ).

cnf(i_0_31,plain,
    op(e0,e4) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_31) ).

cnf(i_0_132,plain,
    ( epred4_0
    | op(e1,e0) != e0
    | op(e1,e1) != e4
    | ~ epred3_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_132) ).

cnf(i_0_29,plain,
    op(e1,e1) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_29) ).

cnf(i_0_154,plain,
    ( epred5_0
    | op(e1,e2) != e1
    | op(e1,e3) != e2
    | ~ epred4_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_154) ).

cnf(i_0_27,plain,
    op(e1,e3) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_27) ).

cnf(i_0_28,plain,
    op(e1,e2) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_28) ).

cnf(i_0_170,plain,
    ( epred6_0
    | op(e1,e4) != e3
    | op(e2,e0) != e1
    | ~ epred5_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_170) ).

cnf(i_0_26,plain,
    op(e1,e4) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_26) ).

cnf(i_0_194,plain,
    ( epred7_0
    | op(e2,e1) != e3
    | op(e2,e2) != e2
    | ~ epred6_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_194) ).

cnf(i_0_24,plain,
    op(e2,e1) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_24) ).

cnf(i_0_23,plain,
    op(e2,e2) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_23) ).

cnf(i_0_216,plain,
    ( epred8_0
    | op(e2,e3) != e4
    | op(e2,e4) != e0
    | ~ epred7_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_216) ).

cnf(i_0_22,plain,
    op(e2,e3) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_22) ).

cnf(i_0_21,plain,
    op(e2,e4) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_21) ).

cnf(i_0_240,plain,
    ( epred9_0
    | op(e3,e0) != e4
    | op(e3,e1) != e1
    | ~ epred8_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_240) ).

cnf(i_0_19,plain,
    op(e3,e1) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_19) ).

cnf(i_0_271,plain,
    ( epred10_0
    | op(e3,e2) != e3
    | op(e3,e3) != e0
    | ~ epred9_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_271) ).

cnf(i_0_17,plain,
    op(e3,e3) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_17) ).

cnf(i_0_18,plain,
    op(e3,e2) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_18) ).

cnf(i_0_299,plain,
    ( epred11_0
    | op(e3,e4) != e2
    | op(e4,e0) != e2
    | ~ epred10_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_299) ).

cnf(i_0_16,plain,
    op(e3,e4) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_16) ).

cnf(i_0_332,plain,
    ( epred12_0
    | op(e4,e1) != e0
    | op(e4,e2) != e4
    | ~ epred11_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_332) ).

cnf(i_0_14,plain,
    op(e4,e1) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_14) ).

cnf(i_0_13,plain,
    op(e4,e2) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_13) ).

cnf(i_0_345,plain,
    ( epred13_0
    | op(e4,e3) != e3
    | op(e4,e4) != e1
    | ~ epred12_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_345) ).

cnf(i_0_12,plain,
    op(e4,e3) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_12) ).

cnf(i_0_11,plain,
    op(e4,e4) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_11) ).

cnf(i_0_375,plain,
    ( epred14_0
    | op(e0,e2) != e0
    | op(e1,e0) != e0
    | ~ epred13_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_375) ).

cnf(i_0_394,plain,
    ( epred15_0
    | op(e0,e3) != e1
    | op(e2,e0) != e1
    | ~ epred14_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_394) ).

cnf(i_0_427,plain,
    ( epred16_0
    | op(e0,e1) != e2
    | op(e4,e0) != e2
    | ~ epred15_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_427) ).

cnf(i_0_461,plain,
    ( epred17_0
    | op(e0,e0) != e3
    | ~ epred16_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_461) ).

cnf(i_0_463,plain,
    ( epred18_0
    | op(e0,e4) != e4
    | op(e3,e0) != e4
    | ~ epred17_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_463) ).

cnf(i_0_507,plain,
    ( epred19_0
    | op(e1,e0) != e0
    | op(e4,e1) != e0
    | ~ epred18_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_507) ).

cnf(i_0_523,plain,
    ( epred20_0
    | op(e1,e2) != e1
    | op(e3,e1) != e1
    | ~ epred19_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_523) ).

cnf(i_0_546,plain,
    ( epred21_0
    | op(e0,e1) != e2
    | op(e1,e3) != e2
    | ~ epred20_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_546) ).

cnf(i_0_564,plain,
    ( epred22_0
    | op(e1,e4) != e3
    | op(e2,e1) != e3
    | ~ epred21_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_564) ).

cnf(i_0_605,plain,
    ( epred23_0
    | op(e1,e1) != e4
    | ~ epred22_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_605) ).

cnf(i_0_36,negated_conjecture,
    ( 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
    | ~ epred38_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_36) ).

cnf(i_0_616,plain,
    ( epred24_0
    | op(e0,e2) != e0
    | op(e2,e4) != e0
    | ~ epred23_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_616) ).

cnf(i_0_660,plain,
    ( epred25_0
    | op(e1,e2) != e1
    | op(e2,e0) != e1
    | ~ epred24_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_660) ).

cnf(i_0_674,plain,
    ( epred26_0
    | op(e2,e2) != e2
    | ~ epred25_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_674) ).

cnf(i_0_703,plain,
    ( epred27_0
    | op(e2,e1) != e3
    | op(e3,e2) != e3
    | ~ epred26_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_703) ).

cnf(i_0_717,plain,
    ( epred28_0
    | op(e2,e3) != e4
    | op(e4,e2) != e4
    | ~ epred27_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_717) ).

cnf(i_0_743,plain,
    ( epred29_0
    | op(e3,e3) != e0
    | ~ epred28_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_743) ).

cnf(i_0_781,plain,
    ( epred30_0
    | op(e0,e3) != e1
    | op(e3,e1) != e1
    | ~ epred29_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_781) ).

cnf(i_0_790,plain,
    ( epred31_0
    | op(e1,e3) != e2
    | op(e3,e4) != e2
    | ~ epred30_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_790) ).

cnf(i_0_822,plain,
    ( epred32_0
    | op(e3,e2) != e3
    | op(e4,e3) != e3
    | ~ epred31_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_822) ).

cnf(i_0_859,plain,
    ( epred33_0
    | op(e2,e3) != e4
    | op(e3,e0) != e4
    | ~ epred32_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_859) ).

cnf(i_0_976,plain,
    ( epred38_0
    | op(e0,e4) != e4
    | op(e4,e2) != e4
    | ~ epred37_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_976) ).

cnf(i_0_879,plain,
    ( epred34_0
    | op(e2,e4) != e0
    | op(e4,e1) != e0
    | ~ epred33_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_879) ).

cnf(i_0_945,plain,
    ( epred37_0
    | op(e1,e4) != e3
    | op(e4,e3) != e3
    | ~ epred36_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_945) ).

cnf(i_0_887,plain,
    ( epred35_0
    | op(e4,e4) != e1
    | ~ epred34_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_887) ).

cnf(i_0_933,plain,
    ( epred36_0
    | op(e3,e4) != e2
    | op(e4,e0) != e2
    | ~ epred35_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y9m096on/lgb.p',i_0_933) ).

cnf(c_0_1046,plain,
    ( epred2_0
    | op(e0,e1) != e2
    | op(e0,e2) != e0
    | ~ epred1_0 ),
    i_0_76 ).

cnf(c_0_1047,plain,
    op(e0,e1) = e2,
    i_0_34 ).

cnf(c_0_1048,plain,
    op(e0,e2) = e0,
    i_0_33 ).

cnf(c_0_1049,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e1
    | op(e2,e0) = e2
    | op(e3,e0) = e3
    | op(e4,e0) = e4
    | epred1_0
    | op(e0,e0) != e3 ),
    i_0_58 ).

cnf(c_0_1050,plain,
    op(e0,e0) = e3,
    i_0_35 ).

cnf(c_0_1051,plain,
    op(e3,e0) = e4,
    i_0_20 ).

cnf(c_0_1052,plain,
    op(e1,e0) = e0,
    i_0_30 ).

cnf(c_0_1053,plain,
    op(e4,e0) = e2,
    i_0_15 ).

cnf(c_0_1054,plain,
    op(e2,e0) = e1,
    i_0_25 ).

cnf(c_0_1055,plain,
    e3 != e0,
    i_0_8 ).

cnf(c_0_1056,plain,
    e4 != e3,
    i_0_1 ).

cnf(c_0_1057,plain,
    e1 != e0,
    i_0_10 ).

cnf(c_0_1058,plain,
    e4 != e2,
    i_0_2 ).

cnf(c_0_1059,plain,
    e2 != e1,
    i_0_6 ).

cnf(c_0_1060,plain,
    ( epred3_0
    | op(e0,e3) != e1
    | op(e0,e4) != e4
    | ~ epred2_0 ),
    i_0_102 ).

cnf(c_0_1061,plain,
    op(e0,e3) = e1,
    i_0_32 ).

cnf(c_0_1062,plain,
    op(e0,e4) = e4,
    i_0_31 ).

cnf(c_0_1063,plain,
    ( epred2_0
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1046,c_0_1047]),c_0_1048])]) ).

cnf(c_0_1064,plain,
    epred1_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[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)],[c_0_1049,c_0_1050]),c_0_1051]),c_0_1052]),c_0_1053]),c_0_1054]),c_0_1050])]),c_0_1055]),c_0_1056]),c_0_1057]),c_0_1058]),c_0_1059]) ).

cnf(c_0_1065,plain,
    ( epred4_0
    | op(e1,e0) != e0
    | op(e1,e1) != e4
    | ~ epred3_0 ),
    i_0_132 ).

cnf(c_0_1066,plain,
    op(e1,e1) = e4,
    i_0_29 ).

cnf(c_0_1067,plain,
    ( epred3_0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1060,c_0_1061]),c_0_1062])]) ).

cnf(c_0_1068,plain,
    epred2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1063,c_0_1064])]) ).

cnf(c_0_1069,plain,
    ( epred5_0
    | op(e1,e2) != e1
    | op(e1,e3) != e2
    | ~ epred4_0 ),
    i_0_154 ).

cnf(c_0_1070,plain,
    op(e1,e3) = e2,
    i_0_27 ).

cnf(c_0_1071,plain,
    op(e1,e2) = e1,
    i_0_28 ).

cnf(c_0_1072,plain,
    ( epred4_0
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1065,c_0_1052]),c_0_1066])]) ).

cnf(c_0_1073,plain,
    epred3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1067,c_0_1068])]) ).

cnf(c_0_1074,plain,
    ( epred6_0
    | op(e1,e4) != e3
    | op(e2,e0) != e1
    | ~ epred5_0 ),
    i_0_170 ).

cnf(c_0_1075,plain,
    op(e1,e4) = e3,
    i_0_26 ).

cnf(c_0_1076,plain,
    ( epred5_0
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1069,c_0_1070]),c_0_1071])]) ).

cnf(c_0_1077,plain,
    epred4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1072,c_0_1073])]) ).

cnf(c_0_1078,plain,
    ( epred7_0
    | op(e2,e1) != e3
    | op(e2,e2) != e2
    | ~ epred6_0 ),
    i_0_194 ).

cnf(c_0_1079,plain,
    op(e2,e1) = e3,
    i_0_24 ).

cnf(c_0_1080,plain,
    op(e2,e2) = e2,
    i_0_23 ).

cnf(c_0_1081,plain,
    ( epred6_0
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1074,c_0_1075]),c_0_1054])]) ).

cnf(c_0_1082,plain,
    epred5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1076,c_0_1077])]) ).

cnf(c_0_1083,plain,
    ( epred8_0
    | op(e2,e3) != e4
    | op(e2,e4) != e0
    | ~ epred7_0 ),
    i_0_216 ).

cnf(c_0_1084,plain,
    op(e2,e3) = e4,
    i_0_22 ).

cnf(c_0_1085,plain,
    op(e2,e4) = e0,
    i_0_21 ).

cnf(c_0_1086,plain,
    ( epred7_0
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1078,c_0_1079]),c_0_1080])]) ).

cnf(c_0_1087,plain,
    epred6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1081,c_0_1082])]) ).

cnf(c_0_1088,plain,
    ( epred9_0
    | op(e3,e0) != e4
    | op(e3,e1) != e1
    | ~ epred8_0 ),
    i_0_240 ).

cnf(c_0_1089,plain,
    op(e3,e1) = e1,
    i_0_19 ).

cnf(c_0_1090,plain,
    ( epred8_0
    | ~ epred7_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1083,c_0_1084]),c_0_1085])]) ).

cnf(c_0_1091,plain,
    epred7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1086,c_0_1087])]) ).

cnf(c_0_1092,plain,
    ( epred10_0
    | op(e3,e2) != e3
    | op(e3,e3) != e0
    | ~ epred9_0 ),
    i_0_271 ).

cnf(c_0_1093,plain,
    op(e3,e3) = e0,
    i_0_17 ).

cnf(c_0_1094,plain,
    op(e3,e2) = e3,
    i_0_18 ).

cnf(c_0_1095,plain,
    ( epred9_0
    | ~ epred8_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1088,c_0_1051]),c_0_1089])]) ).

cnf(c_0_1096,plain,
    epred8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1090,c_0_1091])]) ).

cnf(c_0_1097,plain,
    ( epred11_0
    | op(e3,e4) != e2
    | op(e4,e0) != e2
    | ~ epred10_0 ),
    i_0_299 ).

cnf(c_0_1098,plain,
    op(e3,e4) = e2,
    i_0_16 ).

cnf(c_0_1099,plain,
    ( epred10_0
    | ~ epred9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1092,c_0_1093]),c_0_1094])]) ).

cnf(c_0_1100,plain,
    epred9_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1095,c_0_1096])]) ).

cnf(c_0_1101,plain,
    ( epred12_0
    | op(e4,e1) != e0
    | op(e4,e2) != e4
    | ~ epred11_0 ),
    i_0_332 ).

cnf(c_0_1102,plain,
    op(e4,e1) = e0,
    i_0_14 ).

cnf(c_0_1103,plain,
    op(e4,e2) = e4,
    i_0_13 ).

cnf(c_0_1104,plain,
    ( epred11_0
    | ~ epred10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1097,c_0_1098]),c_0_1053])]) ).

cnf(c_0_1105,plain,
    epred10_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1099,c_0_1100])]) ).

cnf(c_0_1106,plain,
    ( epred13_0
    | op(e4,e3) != e3
    | op(e4,e4) != e1
    | ~ epred12_0 ),
    i_0_345 ).

cnf(c_0_1107,plain,
    op(e4,e3) = e3,
    i_0_12 ).

cnf(c_0_1108,plain,
    op(e4,e4) = e1,
    i_0_11 ).

cnf(c_0_1109,plain,
    ( epred12_0
    | ~ epred11_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1101,c_0_1102]),c_0_1103])]) ).

cnf(c_0_1110,plain,
    epred11_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1104,c_0_1105])]) ).

cnf(c_0_1111,plain,
    ( epred14_0
    | op(e0,e2) != e0
    | op(e1,e0) != e0
    | ~ epred13_0 ),
    i_0_375 ).

cnf(c_0_1112,plain,
    ( epred13_0
    | ~ epred12_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1106,c_0_1107]),c_0_1108])]) ).

cnf(c_0_1113,plain,
    epred12_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1109,c_0_1110])]) ).

cnf(c_0_1114,plain,
    ( epred15_0
    | op(e0,e3) != e1
    | op(e2,e0) != e1
    | ~ epred14_0 ),
    i_0_394 ).

cnf(c_0_1115,plain,
    ( epred14_0
    | ~ epred13_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1111,c_0_1048]),c_0_1052])]) ).

cnf(c_0_1116,plain,
    epred13_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1112,c_0_1113])]) ).

cnf(c_0_1117,plain,
    ( epred16_0
    | op(e0,e1) != e2
    | op(e4,e0) != e2
    | ~ epred15_0 ),
    i_0_427 ).

cnf(c_0_1118,plain,
    ( epred15_0
    | ~ epred14_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1114,c_0_1061]),c_0_1054])]) ).

cnf(c_0_1119,plain,
    epred14_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1115,c_0_1116])]) ).

cnf(c_0_1120,plain,
    ( epred17_0
    | op(e0,e0) != e3
    | ~ epred16_0 ),
    i_0_461 ).

cnf(c_0_1121,plain,
    ( epred16_0
    | ~ epred15_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1117,c_0_1047]),c_0_1053])]) ).

cnf(c_0_1122,plain,
    epred15_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1118,c_0_1119])]) ).

cnf(c_0_1123,plain,
    ( epred18_0
    | op(e0,e4) != e4
    | op(e3,e0) != e4
    | ~ epred17_0 ),
    i_0_463 ).

cnf(c_0_1124,plain,
    ( epred17_0
    | ~ epred16_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1120,c_0_1050])]) ).

cnf(c_0_1125,plain,
    epred16_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1121,c_0_1122])]) ).

cnf(c_0_1126,plain,
    ( epred19_0
    | op(e1,e0) != e0
    | op(e4,e1) != e0
    | ~ epred18_0 ),
    i_0_507 ).

cnf(c_0_1127,plain,
    ( epred18_0
    | ~ epred17_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1123,c_0_1062]),c_0_1051])]) ).

cnf(c_0_1128,plain,
    epred17_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1124,c_0_1125])]) ).

cnf(c_0_1129,plain,
    ( epred20_0
    | op(e1,e2) != e1
    | op(e3,e1) != e1
    | ~ epred19_0 ),
    i_0_523 ).

cnf(c_0_1130,plain,
    ( epred19_0
    | ~ epred18_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1126,c_0_1052]),c_0_1102])]) ).

cnf(c_0_1131,plain,
    epred18_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1127,c_0_1128])]) ).

cnf(c_0_1132,plain,
    ( epred21_0
    | op(e0,e1) != e2
    | op(e1,e3) != e2
    | ~ epred20_0 ),
    i_0_546 ).

cnf(c_0_1133,plain,
    ( epred20_0
    | ~ epred19_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1129,c_0_1089]),c_0_1071])]) ).

cnf(c_0_1134,plain,
    epred19_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1130,c_0_1131])]) ).

cnf(c_0_1135,plain,
    ( epred22_0
    | op(e1,e4) != e3
    | op(e2,e1) != e3
    | ~ epred21_0 ),
    i_0_564 ).

cnf(c_0_1136,plain,
    ( epred21_0
    | ~ epred20_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1132,c_0_1047]),c_0_1070])]) ).

cnf(c_0_1137,plain,
    epred20_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1133,c_0_1134])]) ).

cnf(c_0_1138,plain,
    ( epred23_0
    | op(e1,e1) != e4
    | ~ epred22_0 ),
    i_0_605 ).

cnf(c_0_1139,plain,
    ( epred22_0
    | ~ epred21_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1135,c_0_1075]),c_0_1079])]) ).

cnf(c_0_1140,plain,
    epred21_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1136,c_0_1137])]) ).

cnf(c_0_1141,negated_conjecture,
    ( 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
    | ~ epred38_0 ),
    i_0_36 ).

cnf(c_0_1142,plain,
    ( epred24_0
    | op(e0,e2) != e0
    | op(e2,e4) != e0
    | ~ epred23_0 ),
    i_0_616 ).

cnf(c_0_1143,plain,
    ( epred23_0
    | ~ epred22_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1138,c_0_1066])]) ).

cnf(c_0_1144,plain,
    epred22_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1139,c_0_1140])]) ).

cnf(c_0_1145,negated_conjecture,
    ( op(op(e3,e3),op(e3,e3)) != e3
    | op(op(e3,e1),op(e1,e3)) != e1
    | op(op(e3,e4),op(e4,e3)) != e4
    | op(op(e3,e2),op(e2,e3)) != e2
    | op(op(e1,e3),op(e3,e1)) != e3
    | op(op(e1,e1),op(e1,e1)) != e1
    | op(op(e1,e4),op(e4,e1)) != e4
    | op(op(e1,e2),op(e2,e1)) != e2
    | op(op(e4,e3),op(e3,e4)) != e3
    | op(op(e4,e1),op(e1,e4)) != e1
    | op(op(e4,e4),op(e4,e4)) != e4
    | op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e2,e3),op(e3,e2)) != e3
    | op(op(e2,e1),op(e1,e2)) != e1
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(e2,op(e1,e0)) != e1
    | op(e4,op(e4,e0)) != e4
    | op(e0,op(e2,e0)) != e2
    | op(op(e1,e0),e2) != e0
    | op(op(e4,e0),e4) != e0
    | op(op(e2,e0),e0) != e0
    | op(e3,e3) != e0
    | op(e1,e4) != e3
    | op(e4,e1) != e0
    | ~ epred38_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_1141,c_0_1050]),c_0_1050]),c_0_1061]),c_0_1051]),c_0_1047]),c_0_1062]),c_0_1048]),c_0_1051]),c_0_1061]),c_0_1047]),c_0_1062]),c_0_1048]) ).

cnf(c_0_1146,plain,
    ( epred25_0
    | op(e1,e2) != e1
    | op(e2,e0) != e1
    | ~ epred24_0 ),
    i_0_660 ).

cnf(c_0_1147,plain,
    ( epred24_0
    | ~ epred23_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1142,c_0_1048]),c_0_1085])]) ).

cnf(c_0_1148,plain,
    epred23_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1143,c_0_1144])]) ).

cnf(c_0_1149,negated_conjecture,
    ( op(op(e3,e1),op(e1,e3)) != e1
    | op(op(e3,e4),op(e4,e3)) != e4
    | op(op(e3,e2),op(e2,e3)) != e2
    | op(op(e1,e3),op(e3,e1)) != e3
    | op(op(e1,e1),op(e1,e1)) != e1
    | op(op(e1,e4),op(e4,e1)) != e4
    | op(op(e1,e2),op(e2,e1)) != e2
    | op(op(e4,e3),op(e3,e4)) != e3
    | op(op(e4,e1),op(e1,e4)) != e1
    | op(op(e4,e4),op(e4,e4)) != e4
    | op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e2,e3),op(e3,e2)) != e3
    | op(op(e2,e1),op(e1,e2)) != e1
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(e2,op(e1,e0)) != e1
    | op(e4,op(e4,e0)) != e4
    | op(e0,op(e2,e0)) != e2
    | op(op(e1,e0),e2) != e0
    | op(op(e4,e0),e4) != e0
    | op(op(e2,e0),e0) != e0
    | op(e1,e4) != e3
    | op(e4,e1) != e0
    | ~ epred38_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1145,c_0_1093]),c_0_1093]),c_0_1050]),c_0_1093])]) ).

cnf(c_0_1150,plain,
    ( epred26_0
    | op(e2,e2) != e2
    | ~ epred25_0 ),
    i_0_674 ).

cnf(c_0_1151,plain,
    ( epred25_0
    | ~ epred24_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1146,c_0_1071]),c_0_1054])]) ).

cnf(c_0_1152,plain,
    epred24_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1147,c_0_1148])]) ).

cnf(c_0_1153,negated_conjecture,
    ( op(op(e3,e4),op(e4,e3)) != e4
    | op(op(e3,e2),op(e2,e3)) != e2
    | op(op(e1,e1),op(e1,e1)) != e1
    | op(op(e1,e4),op(e4,e1)) != e4
    | op(op(e1,e2),op(e2,e1)) != e2
    | op(op(e4,e3),op(e3,e4)) != e3
    | op(op(e4,e1),op(e1,e4)) != e1
    | op(op(e4,e4),op(e4,e4)) != e4
    | op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e2,e3),op(e3,e2)) != e3
    | op(op(e2,e1),op(e1,e2)) != e1
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(e1,op(e1,e3)) != e1
    | op(op(e1,e3),e1) != e3
    | op(e2,op(e1,e0)) != e1
    | op(e4,op(e4,e0)) != e4
    | op(e0,op(e2,e0)) != e2
    | op(op(e1,e0),e2) != e0
    | op(op(e4,e0),e4) != e0
    | op(op(e2,e0),e0) != e0
    | op(e1,e4) != e3
    | op(e4,e1) != e0
    | ~ epred38_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1149,c_0_1089]),c_0_1089]) ).

cnf(c_0_1154,plain,
    ( epred27_0
    | op(e2,e1) != e3
    | op(e3,e2) != e3
    | ~ epred26_0 ),
    i_0_703 ).

cnf(c_0_1155,plain,
    ( epred26_0
    | ~ epred25_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1150,c_0_1080])]) ).

cnf(c_0_1156,plain,
    epred25_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1151,c_0_1152])]) ).

cnf(c_0_1157,negated_conjecture,
    ( op(op(e3,e2),op(e2,e3)) != e2
    | op(op(e1,e1),op(e1,e1)) != e1
    | op(op(e1,e4),op(e4,e1)) != e4
    | op(op(e1,e2),op(e2,e1)) != e2
    | op(op(e4,e1),op(e1,e4)) != e1
    | op(op(e4,e4),op(e4,e4)) != e4
    | op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e2,e3),op(e3,e2)) != e3
    | op(op(e2,e1),op(e1,e2)) != e1
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(e2,op(e4,e3)) != e4
    | op(op(e4,e3),e2) != e3
    | op(e1,op(e1,e3)) != e1
    | op(op(e1,e3),e1) != e3
    | op(e2,op(e1,e0)) != e1
    | op(e4,op(e4,e0)) != e4
    | op(e0,op(e2,e0)) != e2
    | op(op(e1,e0),e2) != e0
    | op(op(e4,e0),e4) != e0
    | op(op(e2,e0),e0) != e0
    | op(e1,e4) != e3
    | op(e4,e1) != e0
    | ~ epred38_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1153,c_0_1098]),c_0_1098]) ).

cnf(c_0_1158,plain,
    ( epred28_0
    | op(e2,e3) != e4
    | op(e4,e2) != e4
    | ~ epred27_0 ),
    i_0_717 ).

cnf(c_0_1159,plain,
    ( epred27_0
    | ~ epred26_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1154,c_0_1094]),c_0_1079])]) ).

cnf(c_0_1160,plain,
    epred26_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1155,c_0_1156])]) ).

cnf(c_0_1161,negated_conjecture,
    ( op(op(e4,e4),op(e4,e4)) != e4
    | op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(e3,op(e2,e3)) != e2
    | op(e3,op(e4,e1)) != e4
    | op(e1,op(e2,e1)) != e2
    | op(op(e4,e1),e3) != e1
    | op(op(e2,e3),e3) != e3
    | op(op(e2,e1),e1) != e1
    | op(e2,op(e4,e3)) != e4
    | op(op(e4,e3),e2) != e3
    | op(e4,op(e4,e0)) != e4
    | op(e0,op(e2,e0)) != e2
    | op(op(e4,e0),e4) != e0
    | op(op(e2,e0),e0) != e0
    | op(e4,e4) != e1
    | op(e2,e1) != e3
    | op(e2,e0) != e1
    | op(e4,e1) != e0
    | ~ epred38_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)],[c_0_1157,c_0_1094]),c_0_1094]),c_0_1066]),c_0_1066]),c_0_1075]),c_0_1071]),c_0_1075]),c_0_1071]),c_0_1070]),c_0_1071]),c_0_1070]),c_0_1052]),c_0_1052]),c_0_1048]),c_0_1075])]) ).

cnf(c_0_1162,plain,
    ( epred29_0
    | op(e3,e3) != e0
    | ~ epred28_0 ),
    i_0_743 ).

cnf(c_0_1163,plain,
    ( epred28_0
    | ~ epred27_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1158,c_0_1103]),c_0_1084])]) ).

cnf(c_0_1164,plain,
    epred27_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1159,c_0_1160])]) ).

cnf(c_0_1165,negated_conjecture,
    ( op(op(e4,e4),op(e4,e4)) != e4
    | op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(e3,op(e2,e3)) != e2
    | op(e3,op(e4,e1)) != e4
    | op(e1,op(e2,e1)) != e2
    | op(op(e4,e1),e3) != e1
    | op(op(e2,e3),e3) != e3
    | op(op(e2,e1),e1) != e1
    | op(e2,op(e4,e3)) != e4
    | op(op(e4,e3),e2) != e3
    | op(e0,op(e2,e0)) != e2
    | op(op(e2,e0),e0) != e0
    | op(e4,e2) != e4
    | op(e2,e4) != e0
    | op(e4,e4) != e1
    | op(e2,e1) != e3
    | op(e2,e0) != e1
    | op(e4,e1) != e0
    | ~ epred38_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1161,c_0_1053]),c_0_1053]) ).

cnf(c_0_1166,plain,
    ( epred30_0
    | op(e0,e3) != e1
    | op(e3,e1) != e1
    | ~ epred29_0 ),
    i_0_781 ).

cnf(c_0_1167,plain,
    ( epred29_0
    | ~ epred28_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1162,c_0_1093])]) ).

cnf(c_0_1168,plain,
    epred28_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1163,c_0_1164])]) ).

cnf(c_0_1169,negated_conjecture,
    ( op(op(e4,e4),op(e4,e4)) != e4
    | op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(e3,op(e2,e3)) != e2
    | op(e3,op(e4,e1)) != e4
    | op(e1,op(e2,e1)) != e2
    | op(op(e4,e1),e3) != e1
    | op(op(e2,e3),e3) != e3
    | op(op(e2,e1),e1) != e1
    | op(e0,op(e2,e0)) != e2
    | op(op(e2,e0),e0) != e0
    | op(e2,e3) != e4
    | op(e4,e2) != e4
    | op(e2,e4) != e0
    | op(e4,e4) != e1
    | op(e2,e1) != e3
    | op(e2,e0) != e1
    | op(e4,e1) != e0
    | ~ epred38_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1165,c_0_1107]),c_0_1107]),c_0_1094])]) ).

cnf(c_0_1170,plain,
    ( epred31_0
    | op(e1,e3) != e2
    | op(e3,e4) != e2
    | ~ epred30_0 ),
    i_0_790 ).

cnf(c_0_1171,plain,
    ( epred30_0
    | ~ epred29_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1166,c_0_1061]),c_0_1089])]) ).

cnf(c_0_1172,plain,
    epred29_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1167,c_0_1168])]) ).

cnf(c_0_1173,negated_conjecture,
    ( op(op(e4,e4),op(e4,e4)) != e4
    | op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(e3,op(e2,e3)) != e2
    | op(e1,op(e2,e1)) != e2
    | op(op(e2,e3),e3) != e3
    | op(op(e2,e1),e1) != e1
    | op(e0,op(e2,e0)) != e2
    | op(op(e2,e0),e0) != e0
    | op(e2,e3) != e4
    | op(e4,e2) != e4
    | op(e2,e4) != e0
    | op(e4,e4) != e1
    | op(e2,e1) != e3
    | op(e2,e0) != e1
    | ~ epred38_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)],[c_0_1169,c_0_1102]),c_0_1051]),c_0_1102]),c_0_1061]),c_0_1102])]) ).

cnf(c_0_1174,plain,
    ( epred32_0
    | op(e3,e2) != e3
    | op(e4,e3) != e3
    | ~ epred31_0 ),
    i_0_822 ).

cnf(c_0_1175,plain,
    ( epred31_0
    | ~ epred30_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1170,c_0_1098]),c_0_1070])]) ).

cnf(c_0_1176,plain,
    epred30_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1171,c_0_1172])]) ).

cnf(c_0_1177,negated_conjecture,
    ( op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(e3,op(e2,e3)) != e2
    | op(e1,op(e2,e1)) != e2
    | op(op(e2,e3),e3) != e3
    | op(op(e2,e1),e1) != e1
    | op(e0,op(e2,e0)) != e2
    | op(op(e2,e0),e0) != e0
    | op(e2,e3) != e4
    | op(e4,e2) != e4
    | op(e2,e4) != e0
    | op(e2,e1) != e3
    | op(e2,e0) != e1
    | ~ epred38_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1173,c_0_1108]),c_0_1108]),c_0_1066]),c_0_1108])]) ).

cnf(c_0_1178,plain,
    ( epred33_0
    | op(e2,e3) != e4
    | op(e3,e0) != e4
    | ~ epred32_0 ),
    i_0_859 ).

cnf(c_0_1179,plain,
    ( epred32_0
    | ~ epred31_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1174,c_0_1094]),c_0_1107])]) ).

cnf(c_0_1180,plain,
    epred31_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1175,c_0_1176])]) ).

cnf(c_0_1181,plain,
    ( epred38_0
    | op(e0,e4) != e4
    | op(e4,e2) != e4
    | ~ epred37_0 ),
    i_0_976 ).

cnf(c_0_1182,negated_conjecture,
    ~ epred38_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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1177,c_0_1103]),c_0_1103]),c_0_1103])]),c_0_1085]),c_0_1053]),c_0_1085]),c_0_1062]),c_0_1080]),c_0_1080]),c_0_1080]),c_0_1084]),c_0_1098]),c_0_1079]),c_0_1070]),c_0_1084]),c_0_1107]),c_0_1079]),c_0_1089]),c_0_1054]),c_0_1047]),c_0_1054]),c_0_1052]),c_0_1084]),c_0_1085]),c_0_1079]),c_0_1054])]) ).

cnf(c_0_1183,plain,
    ( epred34_0
    | op(e2,e4) != e0
    | op(e4,e1) != e0
    | ~ epred33_0 ),
    i_0_879 ).

cnf(c_0_1184,plain,
    ( epred33_0
    | ~ epred32_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1178,c_0_1051]),c_0_1084])]) ).

cnf(c_0_1185,plain,
    epred32_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1179,c_0_1180])]) ).

cnf(c_0_1186,plain,
    ( epred37_0
    | op(e1,e4) != e3
    | op(e4,e3) != e3
    | ~ epred36_0 ),
    i_0_945 ).

cnf(c_0_1187,plain,
    ~ epred37_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1181,c_0_1062]),c_0_1103])]),c_0_1182]) ).

cnf(c_0_1188,plain,
    ( epred35_0
    | op(e4,e4) != e1
    | ~ epred34_0 ),
    i_0_887 ).

cnf(c_0_1189,plain,
    ( epred34_0
    | ~ epred33_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1183,c_0_1102]),c_0_1085])]) ).

cnf(c_0_1190,plain,
    epred33_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1184,c_0_1185])]) ).

cnf(c_0_1191,plain,
    ( epred36_0
    | op(e3,e4) != e2
    | op(e4,e0) != e2
    | ~ epred35_0 ),
    i_0_933 ).

cnf(c_0_1192,plain,
    ~ epred36_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1186,c_0_1075]),c_0_1107])]),c_0_1187]) ).

cnf(c_0_1193,plain,
    ( epred35_0
    | ~ epred34_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1188,c_0_1108])]) ).

cnf(c_0_1194,plain,
    epred34_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1189,c_0_1190])]) ).

cnf(c_0_1195,plain,
    ~ epred35_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1191,c_0_1098]),c_0_1053])]),c_0_1192]) ).

cnf(c_0_1196,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1193,c_0_1194])]),c_0_1195]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem  : ALG186+1 : TPTP v8.1.0. Released v2.7.0.
% 0.02/0.09  % Command  : enigmatic-eprover.py %s %d 1
% 0.08/0.28  % Computer : n026.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 600
% 0.08/0.28  % DateTime : Wed Jun  8 15:47:34 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 0.13/0.37  # ENIGMATIC: Selected complete mode:
% 5.34/2.78  # ENIGMATIC: Solved by autoschedule-lgb:
% 5.34/2.78  # No SInE strategy applied
% 5.34/2.78  # Trying AutoSched0 for 150 seconds
% 5.34/2.78  # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 5.34/2.78  # and selection function SelectNewComplexAHP.
% 5.34/2.78  #
% 5.34/2.78  # Preprocessing time       : 0.037 s
% 5.34/2.78  # Presaturation interreduction done
% 5.34/2.78  
% 5.34/2.78  # Proof found!
% 5.34/2.78  # SZS status Theorem
% 5.34/2.78  # SZS output start CNFRefutation
% See solution above
% 5.34/2.78  # Training examples: 0 positive, 0 negative
% 5.34/2.78  
% 5.34/2.78  # -------------------------------------------------
% 5.34/2.78  # User time                : 0.054 s
% 5.34/2.78  # System time              : 0.006 s
% 5.34/2.78  # Total time               : 0.060 s
% 5.34/2.78  # Maximum resident set size: 7124 pages
% 5.34/2.78  
%------------------------------------------------------------------------------