TSTP Solution File: ALG090+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG090+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 14:51:39 EDT 2022

% Result   : Theorem 8.18s 2.50s
% Output   : CNFRefutation 8.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   67
% Syntax   : Number of clauses     :  203 (  93 unt;   0 nHn; 203 RR)
%            Number of literals    :  491 ( 234 equ; 298 neg)
%            Maximal clause size   :   14 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   42 (  40 usr;  41 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_63,plain,
    ( epred1_0
    | op(e0,e0) != e0
    | op(e3,e3) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_63) ).

cnf(i_0_17,plain,
    op(e3,e3) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_17) ).

cnf(i_0_35,plain,
    op(e0,e0) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_35) ).

cnf(i_0_111,plain,
    ( epred3_0
    | op(e0,e0) != e0
    | op(e1,e1) != e4
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_111) ).

cnf(i_0_29,plain,
    op(e1,e1) = e4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_29) ).

cnf(i_0_69,plain,
    ( epred2_0
    | op(e2,e2) != e3
    | op(e4,e4) != e2
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_69) ).

cnf(i_0_11,plain,
    op(e4,e4) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_11) ).

cnf(i_0_23,plain,
    op(e2,e2) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_23) ).

cnf(i_0_147,plain,
    ( epred5_0
    | op(e0,e3) != e3
    | op(e0,e4) != e4
    | ~ epred4_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_147) ).

cnf(i_0_31,plain,
    op(e0,e4) = e4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_31) ).

cnf(i_0_32,plain,
    op(e0,e3) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_32) ).

cnf(i_0_134,plain,
    ( epred4_0
    | op(e0,e1) != e1
    | op(e0,e2) != e2
    | ~ epred3_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_134) ).

cnf(i_0_34,plain,
    op(e0,e1) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_34) ).

cnf(i_0_33,plain,
    op(e0,e2) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_33) ).

cnf(i_0_182,plain,
    ( epred6_0
    | op(e1,e0) != e1
    | op(e1,e1) != e4
    | ~ epred5_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_182) ).

cnf(i_0_30,plain,
    op(e1,e0) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_30) ).

cnf(i_0_214,plain,
    ( epred7_0
    | op(e1,e2) != e0
    | op(e1,e3) != e2
    | ~ epred6_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_214) ).

cnf(i_0_28,plain,
    op(e1,e2) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_28) ).

cnf(i_0_27,plain,
    op(e1,e3) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_27) ).

cnf(i_0_263,plain,
    ( epred9_0
    | op(e2,e1) != e0
    | op(e2,e2) != e3
    | ~ epred8_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_263) ).

cnf(i_0_24,plain,
    op(e2,e1) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_24) ).

cnf(i_0_224,plain,
    ( epred8_0
    | op(e1,e4) != e3
    | op(e2,e0) != e2
    | ~ epred7_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_224) ).

cnf(i_0_26,plain,
    op(e1,e4) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_26) ).

cnf(i_0_25,plain,
    op(e2,e0) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_25) ).

cnf(i_0_270,plain,
    ( epred10_0
    | op(e2,e3) != e4
    | op(e2,e4) != e1
    | ~ epred9_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_270) ).

cnf(i_0_21,plain,
    op(e2,e4) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_21) ).

cnf(i_0_22,plain,
    op(e2,e3) = e4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_22) ).

cnf(i_0_299,plain,
    ( epred11_0
    | op(e3,e0) != e3
    | op(e3,e1) != e2
    | ~ epred10_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_299) ).

cnf(i_0_19,plain,
    op(e3,e1) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_19) ).

cnf(i_0_20,plain,
    op(e3,e0) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_20) ).

cnf(i_0_320,plain,
    ( epred12_0
    | op(e3,e2) != e4
    | op(e3,e3) != e1
    | ~ epred11_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_320) ).

cnf(i_0_18,plain,
    op(e3,e2) = e4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_18) ).

cnf(i_0_362,plain,
    ( epred13_0
    | op(e3,e4) != e0
    | op(e4,e0) != e4
    | ~ epred12_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_362) ).

cnf(i_0_15,plain,
    op(e4,e0) = e4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_15) ).

cnf(i_0_16,plain,
    op(e3,e4) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_16) ).

cnf(i_0_375,plain,
    ( epred14_0
    | op(e4,e1) != e3
    | op(e4,e2) != e1
    | ~ epred13_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_375) ).

cnf(i_0_14,plain,
    op(e4,e1) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_14) ).

cnf(i_0_13,plain,
    op(e4,e2) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_13) ).

cnf(i_0_414,plain,
    ( epred15_0
    | op(e4,e3) != e0
    | op(e4,e4) != e2
    | ~ epred14_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_414) ).

cnf(i_0_12,plain,
    op(e4,e3) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_12) ).

cnf(i_0_465,plain,
    ( epred17_0
    | op(e0,e0) != e0
    | op(e0,e1) != e1
    | ~ epred16_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_465) ).

cnf(i_0_441,plain,
    ( epred16_0
    | unit != e0
    | op(e0,e0) != e0
    | op(e0,unit) != e0
    | op(e1,unit) != e1
    | op(e2,unit) != e2
    | op(e3,unit) != e3
    | op(e4,unit) != e4
    | op(unit,e0) != e0
    | op(unit,e1) != e1
    | op(unit,e2) != e2
    | op(unit,e3) != e3
    | op(unit,e4) != e4
    | ~ epred15_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_441) ).

cnf(i_0_36,plain,
    unit = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_36) ).

cnf(i_0_484,plain,
    ( epred18_0
    | op(e0,e2) != e2
    | op(e1,e0) != e1
    | ~ epred17_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_484) ).

cnf(i_0_503,plain,
    ( epred19_0
    | op(e0,e3) != e3
    | op(e2,e0) != e2
    | ~ epred18_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_503) ).

cnf(i_0_522,plain,
    ( epred20_0
    | op(e0,e4) != e4
    | op(e3,e0) != e3
    | ~ epred19_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_522) ).

cnf(i_0_544,plain,
    ( epred21_0
    | op(e1,e2) != e0
    | op(e4,e0) != e4
    | ~ epred20_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_544) ).

cnf(i_0_581,plain,
    ( epred22_0
    | op(e1,e0) != e1
    | op(e2,e1) != e0
    | ~ epred21_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_581) ).

cnf(i_0_613,plain,
    ( epred23_0
    | op(e0,e1) != e1
    | op(e1,e3) != e2
    | ~ epred22_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_613) ).

cnf(i_0_622,plain,
    ( epred24_0
    | op(e1,e4) != e3
    | op(e3,e1) != e2
    | ~ epred23_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_622) ).

cnf(i_0_645,plain,
    ( epred25_0
    | op(e1,e1) != e4
    | op(e4,e1) != e3
    | ~ epred24_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_645) ).

cnf(i_0_685,plain,
    ( epred26_0
    | op(e1,e1) != e4
    | op(e2,e1) != e0
    | ~ epred25_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_685) ).

cnf(i_0_41,negated_conjecture,
    ( op(e0,e4) != e4
    | ~ epred40_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_41) ).

cnf(i_0_707,plain,
    ( epred27_0
    | op(e1,e2) != e0
    | op(e2,e4) != e1
    | ~ epred26_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_707) ).

cnf(i_0_1036,plain,
    ( epred40_0
    | op(e1,e4) != e3
    | op(e4,e0) != e4
    | ~ epred39_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_1036) ).

cnf(i_0_721,plain,
    ( epred28_0
    | op(e2,e0) != e2
    | op(e4,e2) != e1
    | ~ epred27_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_721) ).

cnf(i_0_995,plain,
    ( epred39_0
    | op(e4,e1) != e3
    | op(e4,e4) != e2
    | ~ epred38_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_995) ).

cnf(i_0_764,plain,
    ( epred29_0
    | op(e0,e2) != e2
    | op(e2,e2) != e3
    | ~ epred28_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_764) ).

cnf(i_0_977,plain,
    ( epred38_0
    | op(e2,e4) != e1
    | op(e4,e4) != e2
    | ~ epred37_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_977) ).

cnf(i_0_778,plain,
    ( epred30_0
    | op(e2,e2) != e3
    | op(e2,e3) != e4
    | ~ epred29_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_778) ).

cnf(i_0_949,plain,
    ( epred37_0
    | op(e3,e4) != e0
    | op(e4,e2) != e1
    | ~ epred36_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_949) ).

cnf(i_0_797,plain,
    ( epred31_0
    | op(e3,e2) != e4
    | op(e3,e4) != e0
    | ~ epred30_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_797) ).

cnf(i_0_928,plain,
    ( epred36_0
    | op(e2,e3) != e4
    | op(e4,e3) != e0
    | ~ epred35_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_928) ).

cnf(i_0_818,plain,
    ( epred32_0
    | op(e3,e3) != e1
    | op(e4,e3) != e0
    | ~ epred31_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_818) ).

cnf(i_0_914,plain,
    ( epred35_0
    | op(e0,e3) != e3
    | op(e3,e2) != e4
    | ~ epred34_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_914) ).

cnf(i_0_850,plain,
    ( epred33_0
    | op(e3,e1) != e2
    | op(e3,e3) != e1
    | ~ epred32_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_850) ).

cnf(i_0_886,plain,
    ( epred34_0
    | op(e1,e3) != e2
    | op(e3,e0) != e3
    | ~ epred33_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yixmpk6b/lgb.p',i_0_886) ).

cnf(c_0_1104,plain,
    ( epred1_0
    | op(e0,e0) != e0
    | op(e3,e3) != e1 ),
    i_0_63 ).

cnf(c_0_1105,plain,
    op(e3,e3) = e1,
    i_0_17 ).

cnf(c_0_1106,plain,
    op(e0,e0) = e0,
    i_0_35 ).

cnf(c_0_1107,plain,
    ( epred3_0
    | op(e0,e0) != e0
    | op(e1,e1) != e4
    | ~ epred2_0 ),
    i_0_111 ).

cnf(c_0_1108,plain,
    op(e1,e1) = e4,
    i_0_29 ).

cnf(c_0_1109,plain,
    ( epred2_0
    | op(e2,e2) != e3
    | op(e4,e4) != e2
    | ~ epred1_0 ),
    i_0_69 ).

cnf(c_0_1110,plain,
    op(e4,e4) = e2,
    i_0_11 ).

cnf(c_0_1111,plain,
    op(e2,e2) = e3,
    i_0_23 ).

cnf(c_0_1112,plain,
    epred1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1104,c_0_1105]),c_0_1106])]) ).

cnf(c_0_1113,plain,
    ( epred3_0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1107,c_0_1108]),c_0_1106])]) ).

cnf(c_0_1114,plain,
    epred2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1109,c_0_1110]),c_0_1111]),c_0_1112])]) ).

cnf(c_0_1115,plain,
    ( epred5_0
    | op(e0,e3) != e3
    | op(e0,e4) != e4
    | ~ epred4_0 ),
    i_0_147 ).

cnf(c_0_1116,plain,
    op(e0,e4) = e4,
    i_0_31 ).

cnf(c_0_1117,plain,
    op(e0,e3) = e3,
    i_0_32 ).

cnf(c_0_1118,plain,
    ( epred4_0
    | op(e0,e1) != e1
    | op(e0,e2) != e2
    | ~ epred3_0 ),
    i_0_134 ).

cnf(c_0_1119,plain,
    op(e0,e1) = e1,
    i_0_34 ).

cnf(c_0_1120,plain,
    op(e0,e2) = e2,
    i_0_33 ).

cnf(c_0_1121,plain,
    epred3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1113,c_0_1114])]) ).

cnf(c_0_1122,plain,
    ( epred6_0
    | op(e1,e0) != e1
    | op(e1,e1) != e4
    | ~ epred5_0 ),
    i_0_182 ).

cnf(c_0_1123,plain,
    op(e1,e0) = e1,
    i_0_30 ).

cnf(c_0_1124,plain,
    ( epred5_0
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1115,c_0_1116]),c_0_1117])]) ).

cnf(c_0_1125,plain,
    epred4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1118,c_0_1119]),c_0_1120]),c_0_1121])]) ).

cnf(c_0_1126,plain,
    ( epred7_0
    | op(e1,e2) != e0
    | op(e1,e3) != e2
    | ~ epred6_0 ),
    i_0_214 ).

cnf(c_0_1127,plain,
    op(e1,e2) = e0,
    i_0_28 ).

cnf(c_0_1128,plain,
    op(e1,e3) = e2,
    i_0_27 ).

cnf(c_0_1129,plain,
    ( epred6_0
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1122,c_0_1108]),c_0_1123])]) ).

cnf(c_0_1130,plain,
    epred5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1124,c_0_1125])]) ).

cnf(c_0_1131,plain,
    ( epred7_0
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1126,c_0_1127]),c_0_1128])]) ).

cnf(c_0_1132,plain,
    epred6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1129,c_0_1130])]) ).

cnf(c_0_1133,plain,
    ( epred9_0
    | op(e2,e1) != e0
    | op(e2,e2) != e3
    | ~ epred8_0 ),
    i_0_263 ).

cnf(c_0_1134,plain,
    op(e2,e1) = e0,
    i_0_24 ).

cnf(c_0_1135,plain,
    ( epred8_0
    | op(e1,e4) != e3
    | op(e2,e0) != e2
    | ~ epred7_0 ),
    i_0_224 ).

cnf(c_0_1136,plain,
    op(e1,e4) = e3,
    i_0_26 ).

cnf(c_0_1137,plain,
    op(e2,e0) = e2,
    i_0_25 ).

cnf(c_0_1138,plain,
    epred7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1131,c_0_1132])]) ).

cnf(c_0_1139,plain,
    ( epred10_0
    | op(e2,e3) != e4
    | op(e2,e4) != e1
    | ~ epred9_0 ),
    i_0_270 ).

cnf(c_0_1140,plain,
    op(e2,e4) = e1,
    i_0_21 ).

cnf(c_0_1141,plain,
    op(e2,e3) = e4,
    i_0_22 ).

cnf(c_0_1142,plain,
    ( epred9_0
    | ~ epred8_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1133,c_0_1134]),c_0_1111])]) ).

cnf(c_0_1143,plain,
    epred8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1135,c_0_1136]),c_0_1137]),c_0_1138])]) ).

cnf(c_0_1144,plain,
    ( epred11_0
    | op(e3,e0) != e3
    | op(e3,e1) != e2
    | ~ epred10_0 ),
    i_0_299 ).

cnf(c_0_1145,plain,
    op(e3,e1) = e2,
    i_0_19 ).

cnf(c_0_1146,plain,
    op(e3,e0) = e3,
    i_0_20 ).

cnf(c_0_1147,plain,
    ( epred10_0
    | ~ epred9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1139,c_0_1140]),c_0_1141])]) ).

cnf(c_0_1148,plain,
    epred9_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1142,c_0_1143])]) ).

cnf(c_0_1149,plain,
    ( epred12_0
    | op(e3,e2) != e4
    | op(e3,e3) != e1
    | ~ epred11_0 ),
    i_0_320 ).

cnf(c_0_1150,plain,
    op(e3,e2) = e4,
    i_0_18 ).

cnf(c_0_1151,plain,
    ( epred11_0
    | ~ epred10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1144,c_0_1145]),c_0_1146])]) ).

cnf(c_0_1152,plain,
    epred10_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1147,c_0_1148])]) ).

cnf(c_0_1153,plain,
    ( epred13_0
    | op(e3,e4) != e0
    | op(e4,e0) != e4
    | ~ epred12_0 ),
    i_0_362 ).

cnf(c_0_1154,plain,
    op(e4,e0) = e4,
    i_0_15 ).

cnf(c_0_1155,plain,
    op(e3,e4) = e0,
    i_0_16 ).

cnf(c_0_1156,plain,
    ( epred12_0
    | ~ epred11_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1149,c_0_1150]),c_0_1105])]) ).

cnf(c_0_1157,plain,
    epred11_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1151,c_0_1152])]) ).

cnf(c_0_1158,plain,
    ( epred14_0
    | op(e4,e1) != e3
    | op(e4,e2) != e1
    | ~ epred13_0 ),
    i_0_375 ).

cnf(c_0_1159,plain,
    op(e4,e1) = e3,
    i_0_14 ).

cnf(c_0_1160,plain,
    op(e4,e2) = e1,
    i_0_13 ).

cnf(c_0_1161,plain,
    ( epred13_0
    | ~ epred12_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1153,c_0_1154]),c_0_1155])]) ).

cnf(c_0_1162,plain,
    epred12_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1156,c_0_1157])]) ).

cnf(c_0_1163,plain,
    ( epred15_0
    | op(e4,e3) != e0
    | op(e4,e4) != e2
    | ~ epred14_0 ),
    i_0_414 ).

cnf(c_0_1164,plain,
    op(e4,e3) = e0,
    i_0_12 ).

cnf(c_0_1165,plain,
    ( epred14_0
    | ~ epred13_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1158,c_0_1159]),c_0_1160])]) ).

cnf(c_0_1166,plain,
    epred13_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1161,c_0_1162])]) ).

cnf(c_0_1167,plain,
    ( epred15_0
    | ~ epred14_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1163,c_0_1110]),c_0_1164])]) ).

cnf(c_0_1168,plain,
    epred14_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1165,c_0_1166])]) ).

cnf(c_0_1169,plain,
    ( epred17_0
    | op(e0,e0) != e0
    | op(e0,e1) != e1
    | ~ epred16_0 ),
    i_0_465 ).

cnf(c_0_1170,plain,
    ( epred16_0
    | unit != e0
    | op(e0,e0) != e0
    | op(e0,unit) != e0
    | op(e1,unit) != e1
    | op(e2,unit) != e2
    | op(e3,unit) != e3
    | op(e4,unit) != e4
    | op(unit,e0) != e0
    | op(unit,e1) != e1
    | op(unit,e2) != e2
    | op(unit,e3) != e3
    | op(unit,e4) != e4
    | ~ epred15_0 ),
    i_0_441 ).

cnf(c_0_1171,plain,
    unit = e0,
    i_0_36 ).

cnf(c_0_1172,plain,
    epred15_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1167,c_0_1168])]) ).

cnf(c_0_1173,plain,
    ( epred18_0
    | op(e0,e2) != e2
    | op(e1,e0) != e1
    | ~ epred17_0 ),
    i_0_484 ).

cnf(c_0_1174,plain,
    ( epred17_0
    | ~ epred16_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1169,c_0_1119]),c_0_1106])]) ).

cnf(c_0_1175,plain,
    epred16_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)],[c_0_1170,c_0_1171]),c_0_1171]),c_0_1123]),c_0_1171]),c_0_1154]),c_0_1171]),c_0_1137]),c_0_1171]),c_0_1146]),c_0_1106]),c_0_1171]),c_0_1106]),c_0_1171]),c_0_1119]),c_0_1171]),c_0_1116]),c_0_1171]),c_0_1120]),c_0_1171]),c_0_1117]),c_0_1171]),c_0_1106]),c_0_1172])]) ).

cnf(c_0_1176,plain,
    ( epred19_0
    | op(e0,e3) != e3
    | op(e2,e0) != e2
    | ~ epred18_0 ),
    i_0_503 ).

cnf(c_0_1177,plain,
    ( epred18_0
    | ~ epred17_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1173,c_0_1123]),c_0_1120])]) ).

cnf(c_0_1178,plain,
    epred17_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1174,c_0_1175])]) ).

cnf(c_0_1179,plain,
    ( epred20_0
    | op(e0,e4) != e4
    | op(e3,e0) != e3
    | ~ epred19_0 ),
    i_0_522 ).

cnf(c_0_1180,plain,
    ( epred19_0
    | ~ epred18_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1176,c_0_1137]),c_0_1117])]) ).

cnf(c_0_1181,plain,
    epred18_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1177,c_0_1178])]) ).

cnf(c_0_1182,plain,
    ( epred21_0
    | op(e1,e2) != e0
    | op(e4,e0) != e4
    | ~ epred20_0 ),
    i_0_544 ).

cnf(c_0_1183,plain,
    ( epred20_0
    | ~ epred19_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1179,c_0_1146]),c_0_1116])]) ).

cnf(c_0_1184,plain,
    epred19_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1180,c_0_1181])]) ).

cnf(c_0_1185,plain,
    ( epred22_0
    | op(e1,e0) != e1
    | op(e2,e1) != e0
    | ~ epred21_0 ),
    i_0_581 ).

cnf(c_0_1186,plain,
    ( epred21_0
    | ~ epred20_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1182,c_0_1127]),c_0_1154])]) ).

cnf(c_0_1187,plain,
    epred20_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1183,c_0_1184])]) ).

cnf(c_0_1188,plain,
    ( epred23_0
    | op(e0,e1) != e1
    | op(e1,e3) != e2
    | ~ epred22_0 ),
    i_0_613 ).

cnf(c_0_1189,plain,
    ( epred22_0
    | ~ epred21_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1185,c_0_1123]),c_0_1134])]) ).

cnf(c_0_1190,plain,
    epred21_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1186,c_0_1187])]) ).

cnf(c_0_1191,plain,
    ( epred24_0
    | op(e1,e4) != e3
    | op(e3,e1) != e2
    | ~ epred23_0 ),
    i_0_622 ).

cnf(c_0_1192,plain,
    ( epred23_0
    | ~ epred22_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1188,c_0_1128]),c_0_1119])]) ).

cnf(c_0_1193,plain,
    epred22_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1189,c_0_1190])]) ).

cnf(c_0_1194,plain,
    ( epred25_0
    | op(e1,e1) != e4
    | op(e4,e1) != e3
    | ~ epred24_0 ),
    i_0_645 ).

cnf(c_0_1195,plain,
    ( epred24_0
    | ~ epred23_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1191,c_0_1136]),c_0_1145])]) ).

cnf(c_0_1196,plain,
    epred23_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1192,c_0_1193])]) ).

cnf(c_0_1197,plain,
    ( epred26_0
    | op(e1,e1) != e4
    | op(e2,e1) != e0
    | ~ epred25_0 ),
    i_0_685 ).

cnf(c_0_1198,plain,
    ( epred25_0
    | ~ epred24_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1194,c_0_1108]),c_0_1159])]) ).

cnf(c_0_1199,plain,
    epred24_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1195,c_0_1196])]) ).

cnf(c_0_1200,negated_conjecture,
    ( op(e0,e4) != e4
    | ~ epred40_0 ),
    i_0_41 ).

cnf(c_0_1201,plain,
    ( epred27_0
    | op(e1,e2) != e0
    | op(e2,e4) != e1
    | ~ epred26_0 ),
    i_0_707 ).

cnf(c_0_1202,plain,
    ( epred26_0
    | ~ epred25_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1197,c_0_1108]),c_0_1134])]) ).

cnf(c_0_1203,plain,
    epred25_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1198,c_0_1199])]) ).

cnf(c_0_1204,plain,
    ( epred40_0
    | op(e1,e4) != e3
    | op(e4,e0) != e4
    | ~ epred39_0 ),
    i_0_1036 ).

cnf(c_0_1205,negated_conjecture,
    ~ epred40_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1200,c_0_1116])]) ).

cnf(c_0_1206,plain,
    ( epred28_0
    | op(e2,e0) != e2
    | op(e4,e2) != e1
    | ~ epred27_0 ),
    i_0_721 ).

cnf(c_0_1207,plain,
    ( epred27_0
    | ~ epred26_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1201,c_0_1127]),c_0_1140])]) ).

cnf(c_0_1208,plain,
    epred26_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1202,c_0_1203])]) ).

cnf(c_0_1209,plain,
    ( epred39_0
    | op(e4,e1) != e3
    | op(e4,e4) != e2
    | ~ epred38_0 ),
    i_0_995 ).

cnf(c_0_1210,plain,
    ~ epred39_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1204,c_0_1136]),c_0_1154])]),c_0_1205]) ).

cnf(c_0_1211,plain,
    ( epred29_0
    | op(e0,e2) != e2
    | op(e2,e2) != e3
    | ~ epred28_0 ),
    i_0_764 ).

cnf(c_0_1212,plain,
    ( epred28_0
    | ~ epred27_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1206,c_0_1160]),c_0_1137])]) ).

cnf(c_0_1213,plain,
    epred27_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1207,c_0_1208])]) ).

cnf(c_0_1214,plain,
    ( epred38_0
    | op(e2,e4) != e1
    | op(e4,e4) != e2
    | ~ epred37_0 ),
    i_0_977 ).

cnf(c_0_1215,plain,
    ~ epred38_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1209,c_0_1159]),c_0_1110])]),c_0_1210]) ).

cnf(c_0_1216,plain,
    ( epred30_0
    | op(e2,e2) != e3
    | op(e2,e3) != e4
    | ~ epred29_0 ),
    i_0_778 ).

cnf(c_0_1217,plain,
    ( epred29_0
    | ~ epred28_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1211,c_0_1111]),c_0_1120])]) ).

cnf(c_0_1218,plain,
    epred28_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1212,c_0_1213])]) ).

cnf(c_0_1219,plain,
    ( epred37_0
    | op(e3,e4) != e0
    | op(e4,e2) != e1
    | ~ epred36_0 ),
    i_0_949 ).

cnf(c_0_1220,plain,
    ~ epred37_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1214,c_0_1110]),c_0_1140])]),c_0_1215]) ).

cnf(c_0_1221,plain,
    ( epred31_0
    | op(e3,e2) != e4
    | op(e3,e4) != e0
    | ~ epred30_0 ),
    i_0_797 ).

cnf(c_0_1222,plain,
    ( epred30_0
    | ~ epred29_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1216,c_0_1111]),c_0_1141])]) ).

cnf(c_0_1223,plain,
    epred29_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1217,c_0_1218])]) ).

cnf(c_0_1224,plain,
    ( epred36_0
    | op(e2,e3) != e4
    | op(e4,e3) != e0
    | ~ epred35_0 ),
    i_0_928 ).

cnf(c_0_1225,plain,
    ~ epred36_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1219,c_0_1160]),c_0_1155])]),c_0_1220]) ).

cnf(c_0_1226,plain,
    ( epred32_0
    | op(e3,e3) != e1
    | op(e4,e3) != e0
    | ~ epred31_0 ),
    i_0_818 ).

cnf(c_0_1227,plain,
    ( epred31_0
    | ~ epred30_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1221,c_0_1155]),c_0_1150])]) ).

cnf(c_0_1228,plain,
    epred30_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1222,c_0_1223])]) ).

cnf(c_0_1229,plain,
    ( epred35_0
    | op(e0,e3) != e3
    | op(e3,e2) != e4
    | ~ epred34_0 ),
    i_0_914 ).

cnf(c_0_1230,plain,
    ~ epred35_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1224,c_0_1164]),c_0_1141])]),c_0_1225]) ).

cnf(c_0_1231,plain,
    ( epred33_0
    | op(e3,e1) != e2
    | op(e3,e3) != e1
    | ~ epred32_0 ),
    i_0_850 ).

cnf(c_0_1232,plain,
    ( epred32_0
    | ~ epred31_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1226,c_0_1164]),c_0_1105])]) ).

cnf(c_0_1233,plain,
    epred31_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1227,c_0_1228])]) ).

cnf(c_0_1234,plain,
    ( epred34_0
    | op(e1,e3) != e2
    | op(e3,e0) != e3
    | ~ epred33_0 ),
    i_0_886 ).

cnf(c_0_1235,plain,
    ~ epred34_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1229,c_0_1150]),c_0_1117])]),c_0_1230]) ).

cnf(c_0_1236,plain,
    ( epred33_0
    | ~ epred32_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1231,c_0_1145]),c_0_1105])]) ).

cnf(c_0_1237,plain,
    epred32_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1232,c_0_1233])]) ).

cnf(c_0_1238,plain,
    ~ epred33_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1234,c_0_1128]),c_0_1146])]),c_0_1235]) ).

cnf(c_0_1239,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1236,c_0_1237])]),c_0_1238]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : ALG090+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n027.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % 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 18:09:58 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.18/2.50  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.18/2.50  # No SInE strategy applied
% 8.18/2.50  # Trying AutoSched0 for 150 seconds
% 8.18/2.50  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.18/2.50  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.18/2.50  #
% 8.18/2.50  # Preprocessing time       : 0.046 s
% 8.18/2.50  # Presaturation interreduction done
% 8.18/2.50  
% 8.18/2.50  # Proof found!
% 8.18/2.50  # SZS status Theorem
% 8.18/2.50  # SZS output start CNFRefutation
% See solution above
% 8.18/2.50  # Training examples: 0 positive, 0 negative
% 8.18/2.50  
% 8.18/2.50  # -------------------------------------------------
% 8.18/2.50  # User time                : 0.063 s
% 8.18/2.50  # System time              : 0.008 s
% 8.18/2.50  # Total time               : 0.071 s
% 8.18/2.50  # Maximum resident set size: 7128 pages
% 8.18/2.50  
%------------------------------------------------------------------------------