TSTP Solution File: ALG045+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG045+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 14:44:16 EDT 2022

% Result   : Unsatisfiable 7.54s 2.39s
% Output   : CNFRefutation 7.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   41
% Syntax   : Number of clauses     :  135 (  53 unt;  70 nHn; 135 RR)
%            Number of literals    :  310 ( 279 equ;  73 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   2 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_99,plain,
    op(e1,e1) != op(e0,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_99) ).

cnf(i_0_114,plain,
    ( op(e1,e1) = e3
    | epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_114) ).

cnf(i_0_23,plain,
    op(unit,e1) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_23) ).

cnf(i_0_17,plain,
    ( e0 = unit
    | e1 = unit
    | e2 = unit
    | e3 = unit ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_17) ).

cnf(i_0_15,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_15) ).

cnf(i_0_24,plain,
    op(e0,unit) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_24) ).

cnf(i_0_97,plain,
    op(e3,e1) != op(e0,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_97) ).

cnf(i_0_137,plain,
    ( op(e0,e1) != e2
    | op(e1,e1) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_137) ).

cnf(i_0_77,plain,
    op(e0,e3) != op(e0,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_77) ).

cnf(i_0_21,plain,
    op(unit,e2) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_21) ).

cnf(i_0_113,plain,
    ( op(e2,e2) = e3
    | epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_113) ).

cnf(i_0_106,plain,
    e3 != e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_106) ).

cnf(i_0_107,plain,
    e3 != e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_107) ).

cnf(i_0_25,plain,
    op(unit,e0) = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_25) ).

cnf(i_0_115,plain,
    ( op(e0,e0) = e3
    | epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_115) ).

cnf(i_0_109,plain,
    e3 != e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_109) ).

cnf(i_0_19,plain,
    op(unit,e3) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_19) ).

cnf(i_0_140,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_140) ).

cnf(i_0_18,plain,
    op(e3,unit) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_18) ).

cnf(i_0_86,plain,
    op(e2,e3) != op(e0,e3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_86) ).

cnf(i_0_91,plain,
    op(e3,e2) != op(e0,e2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_91) ).

cnf(i_0_162,plain,
    ( op(e1,e1) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_162) ).

cnf(i_0_51,plain,
    ( op(e0,e0) = e3
    | op(e0,e1) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_51) ).

cnf(i_0_108,plain,
    e2 != e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_108) ).

cnf(i_0_110,plain,
    e2 != e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_110) ).

cnf(i_0_203,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_203) ).

cnf(i_0_131,plain,
    ( op(e1,e1) != e2
    | op(e0,e1) != e3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_131) ).

cnf(i_0_145,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e0
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_145) ).

cnf(i_0_193,plain,
    ( op(e0,e0) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_193) ).

cnf(i_0_58,plain,
    op(e3,e3) != op(e3,e2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_58) ).

cnf(i_0_124,plain,
    ( op(e3,e2) != e0
    | op(e2,e2) != e1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_124) ).

cnf(i_0_90,plain,
    op(e2,e2) != op(e1,e2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_90) ).

cnf(i_0_105,plain,
    op(e1,e0) != op(e0,e0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_105) ).

cnf(i_0_40,plain,
    ( op(e0,e2) = e0
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_40) ).

cnf(i_0_111,plain,
    e1 != e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_111) ).

cnf(i_0_78,plain,
    op(e0,e2) != op(e0,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_78) ).

cnf(i_0_184,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e0
    | op(e3,e3) = e2
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_184) ).

cnf(i_0_155,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e0
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_155) ).

cnf(i_0_59,plain,
    op(e3,e3) != op(e3,e1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_59) ).

cnf(i_0_116,plain,
    ( op(e1,e1) != e0
    | op(e3,e1) != e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_116) ).

cnf(i_0_29,plain,
    ( op(e3,e0) = e2
    | op(e3,e1) = e2
    | op(e3,e2) = e2
    | op(e3,e3) = e2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oe63gzh/lgb.p',i_0_29) ).

cnf(c_0_245,plain,
    op(e1,e1) != op(e0,e1),
    i_0_99 ).

cnf(c_0_246,plain,
    ( op(e1,e1) = e3
    | epred1_0 ),
    i_0_114 ).

cnf(c_0_247,plain,
    op(unit,e1) = e1,
    i_0_23 ).

cnf(c_0_248,plain,
    ( e0 = unit
    | e1 = unit
    | e2 = unit
    | e3 = unit ),
    i_0_17 ).

cnf(c_0_249,plain,
    ( epred1_0
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_250,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    i_0_15 ).

cnf(c_0_251,plain,
    op(e0,unit) = e0,
    i_0_24 ).

cnf(c_0_252,plain,
    op(e3,e1) != op(e0,e1),
    i_0_97 ).

cnf(c_0_253,plain,
    ( op(e3,e1) = e1
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_254,plain,
    ( op(e0,e1) != e2
    | op(e1,e1) != e3 ),
    i_0_137 ).

cnf(c_0_255,plain,
    ( op(e0,e1) = e2
    | op(e0,e1) = e1
    | op(e0,e1) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_256,plain,
    op(e0,e3) != op(e0,e1),
    i_0_77 ).

cnf(c_0_257,plain,
    ( op(e0,e3) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_251,c_0_248]) ).

cnf(c_0_258,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e1) != e1 ),
    inference(spm,[status(thm)],[c_0_252,c_0_253]) ).

cnf(c_0_259,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_246]) ).

cnf(c_0_260,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_261,plain,
    op(unit,e2) = e2,
    i_0_21 ).

cnf(c_0_262,plain,
    ( unit = e2
    | unit = e1
    | unit = e0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260]) ).

cnf(c_0_263,plain,
    ( op(e2,e2) = e3
    | epred1_0 ),
    i_0_113 ).

cnf(c_0_264,plain,
    ( op(e2,e2) = e2
    | unit = e0
    | unit = e1
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_261,c_0_262]) ).

cnf(c_0_265,plain,
    e3 != e2,
    i_0_106 ).

cnf(c_0_266,plain,
    ( unit = e1
    | unit = e0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]) ).

cnf(c_0_267,plain,
    ( op(e1,e1) = e1
    | unit = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_247,c_0_266]) ).

cnf(c_0_268,plain,
    e3 != e1,
    i_0_107 ).

cnf(c_0_269,plain,
    op(unit,e0) = e0,
    i_0_25 ).

cnf(c_0_270,plain,
    ( unit = e0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_267]),c_0_268]) ).

cnf(c_0_271,plain,
    ( op(e0,e0) = e3
    | epred1_0 ),
    i_0_115 ).

cnf(c_0_272,plain,
    ( op(e0,e0) = e0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_269,c_0_270]) ).

cnf(c_0_273,plain,
    e3 != e0,
    i_0_109 ).

cnf(c_0_274,plain,
    op(unit,e3) = e3,
    i_0_19 ).

cnf(c_0_275,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | ~ epred1_0 ),
    i_0_140 ).

cnf(c_0_276,plain,
    epred1_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_273]) ).

cnf(c_0_277,plain,
    ( op(e3,e3) = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_274,c_0_248]) ).

cnf(c_0_278,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_276])]) ).

cnf(c_0_279,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_265]) ).

cnf(c_0_280,plain,
    ( op(e3,e3) = e0
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_279]),c_0_268]) ).

cnf(c_0_281,plain,
    ( unit = e0
    | unit = e1
    | unit = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_280]),c_0_273]) ).

cnf(c_0_282,plain,
    op(e3,unit) = e3,
    i_0_18 ).

cnf(c_0_283,plain,
    op(e2,e3) != op(e0,e3),
    i_0_86 ).

cnf(c_0_284,plain,
    ( op(e2,e3) = e3
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_274,c_0_281]) ).

cnf(c_0_285,plain,
    op(e3,e2) != op(e0,e2),
    i_0_91 ).

cnf(c_0_286,plain,
    ( op(e3,e2) = e3
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_282,c_0_281]) ).

cnf(c_0_287,plain,
    ( op(e1,e1) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | ~ epred1_0 ),
    i_0_162 ).

cnf(c_0_288,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_283,c_0_284]) ).

cnf(c_0_289,plain,
    ( op(e0,e0) = e3
    | op(e0,e1) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3 ),
    i_0_51 ).

cnf(c_0_290,plain,
    ( unit = e0
    | unit = e1
    | op(e0,e2) != e3 ),
    inference(spm,[status(thm)],[c_0_285,c_0_286]) ).

cnf(c_0_291,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e1,e1) = e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_276])]) ).

cnf(c_0_292,plain,
    ( op(e2,e2) = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_261,c_0_281]) ).

cnf(c_0_293,plain,
    e2 != e1,
    i_0_108 ).

cnf(c_0_294,plain,
    e2 != e0,
    i_0_110 ).

cnf(c_0_295,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | ~ epred1_0 ),
    i_0_203 ).

cnf(c_0_296,plain,
    ( op(e1,e1) != e2
    | op(e0,e1) != e3 ),
    i_0_131 ).

cnf(c_0_297,plain,
    ( op(e0,e1) = e3
    | op(e0,e0) = e3
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_290]) ).

cnf(c_0_298,plain,
    ( op(e1,e1) = e2
    | unit = e0
    | unit = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_293]),c_0_294]) ).

cnf(c_0_299,plain,
    ( op(e0,e0) = e2
    | op(e0,e0) = e1
    | op(e0,e0) = e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_295,c_0_276])]) ).

cnf(c_0_300,plain,
    ( op(e0,e0) = e3
    | unit = e0
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_298]) ).

cnf(c_0_301,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e0
    | ~ epred1_0 ),
    i_0_145 ).

cnf(c_0_302,plain,
    ( op(e0,e0) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | ~ epred1_0 ),
    i_0_193 ).

cnf(c_0_303,plain,
    ( unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_265]),c_0_268]),c_0_273]) ).

cnf(c_0_304,plain,
    op(e3,e3) != op(e3,e2),
    i_0_58 ).

cnf(c_0_305,plain,
    ( op(e3,e3) = e0
    | op(e2,e2) = e2
    | op(e2,e2) = e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_276])]) ).

cnf(c_0_306,plain,
    ( op(e3,e2) != e0
    | op(e2,e2) != e1 ),
    i_0_124 ).

cnf(c_0_307,plain,
    op(e2,e2) != op(e1,e2),
    i_0_90 ).

cnf(c_0_308,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e1
    | op(e0,e0) = e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_276])]) ).

cnf(c_0_309,plain,
    op(e1,e0) != op(e0,e0),
    i_0_105 ).

cnf(c_0_310,plain,
    ( op(e1,e0) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_269,c_0_303]) ).

cnf(c_0_311,plain,
    ( op(e2,e2) = e2
    | op(e3,e2) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_306]) ).

cnf(c_0_312,plain,
    ( op(e0,e2) = e0
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0 ),
    i_0_40 ).

cnf(c_0_313,plain,
    ( op(e0,e0) = e0
    | op(e2,e2) = e1
    | op(e1,e2) != e2 ),
    inference(spm,[status(thm)],[c_0_307,c_0_308]) ).

cnf(c_0_314,plain,
    ( op(e1,e2) = e2
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_261,c_0_303]) ).

cnf(c_0_315,plain,
    ( unit = e0
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_309,c_0_310]) ).

cnf(c_0_316,plain,
    ( op(e2,e2) = e0
    | op(e1,e2) = e0
    | op(e0,e2) = e0
    | op(e2,e2) = e2 ),
    inference(spm,[status(thm)],[c_0_311,c_0_312]) ).

cnf(c_0_317,plain,
    ( op(e2,e2) = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_315]) ).

cnf(c_0_318,plain,
    e1 != e0,
    i_0_111 ).

cnf(c_0_319,plain,
    ( op(e0,e2) = e0
    | op(e1,e2) = e0
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_318]),c_0_293]) ).

cnf(c_0_320,plain,
    op(e0,e2) != op(e0,e1),
    i_0_78 ).

cnf(c_0_321,plain,
    ( op(e0,e2) = e0
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_319]),c_0_294]) ).

cnf(c_0_322,plain,
    ( op(e0,e1) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_251,c_0_303]) ).

cnf(c_0_323,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e0
    | op(e3,e3) = e2
    | ~ epred1_0 ),
    i_0_184 ).

cnf(c_0_324,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e3,e3) = e0
    | ~ epred1_0 ),
    i_0_155 ).

cnf(c_0_325,plain,
    unit = e0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_322]) ).

cnf(c_0_326,plain,
    op(e3,e3) != op(e3,e1),
    i_0_59 ).

cnf(c_0_327,plain,
    ( op(e3,e3) = e2
    | op(e1,e1) = e0
    | op(e0,e0) = e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_323,c_0_276])]) ).

cnf(c_0_328,plain,
    ( op(e1,e1) != e0
    | op(e3,e1) != e2 ),
    i_0_116 ).

cnf(c_0_329,plain,
    ( op(e3,e3) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_324,c_0_276])]) ).

cnf(c_0_330,plain,
    op(e0,e0) = e0,
    inference(rw,[status(thm)],[c_0_251,c_0_325]) ).

cnf(c_0_331,plain,
    ( op(e0,e0) = e1
    | op(e3,e1) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_328]) ).

cnf(c_0_332,plain,
    op(e0,e2) = e2,
    inference(rw,[status(thm)],[c_0_261,c_0_325]) ).

cnf(c_0_333,plain,
    ( op(e3,e0) = e2
    | op(e3,e1) = e2
    | op(e3,e2) = e2
    | op(e3,e3) = e2 ),
    i_0_29 ).

cnf(c_0_334,plain,
    op(e3,e0) = e3,
    inference(rw,[status(thm)],[c_0_282,c_0_325]) ).

cnf(c_0_335,plain,
    op(e3,e3) = e0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_329,c_0_330]),c_0_330]),c_0_294]),c_0_318]) ).

cnf(c_0_336,plain,
    op(e3,e1) != e2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_331,c_0_330]),c_0_318]) ).

cnf(c_0_337,plain,
    op(e3,e2) != e2,
    inference(rw,[status(thm)],[c_0_285,c_0_332]) ).

cnf(c_0_338,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_333,c_0_334]),c_0_265]),c_0_335]),c_0_336]),c_0_337]),c_0_294]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG045+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun  8 13:12:12 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 7.54/2.39  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.54/2.39  # No SInE strategy applied
% 7.54/2.39  # Trying AutoSched0 for 150 seconds
% 7.54/2.39  # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 7.54/2.39  # and selection function SelectNewComplexAHP.
% 7.54/2.39  #
% 7.54/2.39  # Preprocessing time       : 0.015 s
% 7.54/2.39  # Presaturation interreduction done
% 7.54/2.39  
% 7.54/2.39  # Proof found!
% 7.54/2.39  # SZS status Theorem
% 7.54/2.39  # SZS output start CNFRefutation
% See solution above
% 7.54/2.39  # Training examples: 0 positive, 0 negative
% 7.54/2.39  
% 7.54/2.39  # -------------------------------------------------
% 7.54/2.39  # User time                : 0.072 s
% 7.54/2.39  # System time              : 0.005 s
% 7.54/2.39  # Total time               : 0.077 s
% 7.54/2.39  # Maximum resident set size: 7128 pages
% 7.54/2.39  
%------------------------------------------------------------------------------