TSTP Solution File: ALG058+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG058+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 14:49:32 EDT 2022

% Result   : Theorem 8.72s 2.62s
% Output   : CNFRefutation 8.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   49
% Syntax   : Number of clauses     :  153 (  68 unt;  62 nHn; 153 RR)
%            Number of literals    :  370 ( 274 equ; 108 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  14 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_199,plain,
    op(op(e2,e2),e2) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_199) ).

cnf(i_0_198,plain,
    op(e2,e2) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_198) ).

cnf(i_0_200,plain,
    op(op(op(e2,e2),e2),op(op(e2,e2),e2)) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_200) ).

cnf(i_0_65,plain,
    ( op(e0,e2) = e0
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | op(e4,e2) = e0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_65) ).

cnf(i_0_194,plain,
    e3 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_194) ).

cnf(i_0_196,plain,
    e1 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_196) ).

cnf(i_0_122,plain,
    op(e1,e1) != op(e1,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_122) ).

cnf(i_0_32,plain,
    op(unit,e2) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_32) ).

cnf(i_0_26,plain,
    ( unit = e0
    | e1 = unit
    | unit = e2
    | e3 = unit
    | e4 = unit ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_26) ).

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

cnf(i_0_195,plain,
    e0 != e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_195) ).

cnf(i_0_197,plain,
    op(op(e2,e2),op(e2,e2)) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_197) ).

cnf(i_0_202,negated_conjecture,
    ( op(e4,e4) = e4
    | epred13_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_202) ).

cnf(i_0_201,negated_conjecture,
    ( epred13_0
    | op(e4,e4) != e4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_201) ).

cnf(i_0_128,plain,
    op(e0,e4) != op(e0,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_128) ).

cnf(i_0_176,plain,
    op(e1,e1) != op(e0,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_176) ).

cnf(i_0_417,plain,
    ( op(e3,e4) = e3
    | op(e3,e3) != e4
    | ~ epred5_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_417) ).

cnf(i_0_621,plain,
    ( op(e1,e1) = e4
    | op(e2,e2) = e4
    | op(e4,e4) = e3
    | epred12_0
    | ~ epred13_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_621) ).

cnf(i_0_187,plain,
    e4 != e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_187) ).

cnf(i_0_193,plain,
    e4 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_193) ).

cnf(i_0_203,negated_conjecture,
    ( epred1_0
    | epred2_0
    | epred3_0
    | epred4_0
    | epred5_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_203) ).

cnf(i_0_373,plain,
    ( op(e3,e3) = e0
    | op(e3,e0) != e3
    | ~ epred4_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_373) ).

cnf(i_0_240,plain,
    ( unit != e0
    | op(e1,e1) != e0
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_240) ).

cnf(i_0_601,plain,
    ( op(e3,e3) = e3
    | op(e4,e4) = e3
    | epred11_0
    | op(e4,e0) != e4
    | ~ epred12_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_601) ).

cnf(i_0_27,plain,
    op(e4,unit) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_27) ).

cnf(i_0_103,plain,
    op(e3,e4) != op(e3,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_103) ).

cnf(i_0_29,plain,
    op(e3,unit) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_29) ).

cnf(i_0_112,plain,
    op(e2,e1) != op(e2,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_112) ).

cnf(i_0_333,plain,
    ( op(e2,e2) = e0
    | op(e2,e0) != e2
    | ~ epred3_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_333) ).

cnf(i_0_31,plain,
    op(e2,unit) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_31) ).

cnf(i_0_90,plain,
    op(e4,e4) != op(e4,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_90) ).

cnf(i_0_69,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3
    | op(e4,e1) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_69) ).

cnf(i_0_269,plain,
    ( op(e3,e1) = e2
    | op(e3,e2) != e1
    | ~ epred2_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_269) ).

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

cnf(i_0_191,plain,
    e3 != e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_191) ).

cnf(i_0_588,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | epred10_0
    | ~ epred11_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_588) ).

cnf(i_0_188,plain,
    e4 != e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_188) ).

cnf(i_0_190,plain,
    e4 != e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_190) ).

cnf(i_0_189,plain,
    e3 != e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_189) ).

cnf(i_0_558,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e4
    | op(e3,e3) = e2
    | epred9_0
    | ~ epred10_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_558) ).

cnf(i_0_461,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e0
    | op(e0,e0) != e0
    | ~ epred6_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_461) ).

cnf(i_0_543,plain,
    ( op(e1,e1) = e4
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | epred8_0
    | ~ epred9_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_543) ).

cnf(i_0_470,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e2,e2) = e0
    | ~ epred6_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_470) ).

cnf(i_0_512,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e1
    | op(e3,e3) = e1
    | epred7_0
    | ~ epred8_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_512) ).

cnf(i_0_28,plain,
    op(unit,e4) = e4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_28) ).

cnf(i_0_488,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e4
    | op(e3,e3) = e0
    | epred6_0
    | ~ epred7_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_488) ).

cnf(i_0_136,plain,
    op(e0,e1) != op(e0,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_136) ).

cnf(i_0_133,plain,
    op(e0,e4) != op(e0,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_133) ).

cnf(i_0_147,plain,
    op(e4,e3) != op(e3,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ffmwsqbw/input.p',i_0_147) ).

cnf(c_0_671,plain,
    op(op(e2,e2),e2) = e1,
    i_0_199 ).

cnf(c_0_672,plain,
    op(e2,e2) = e3,
    i_0_198 ).

cnf(c_0_673,plain,
    op(op(op(e2,e2),e2),op(op(e2,e2),e2)) = e0,
    i_0_200 ).

cnf(c_0_674,plain,
    op(e3,e2) = e1,
    inference(rw,[status(thm)],[c_0_671,c_0_672]) ).

cnf(c_0_675,plain,
    ( op(e0,e2) = e0
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0
    | op(e4,e2) = e0 ),
    i_0_65 ).

cnf(c_0_676,plain,
    e3 != e0,
    i_0_194 ).

cnf(c_0_677,plain,
    e1 != e0,
    i_0_196 ).

cnf(c_0_678,plain,
    op(e1,e1) != op(e1,e2),
    i_0_122 ).

cnf(c_0_679,plain,
    op(e1,e1) = e0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_673,c_0_672]),c_0_674]),c_0_672]),c_0_674]) ).

cnf(c_0_680,plain,
    ( op(e4,e2) = e0
    | op(e1,e2) = e0
    | op(e0,e2) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_675,c_0_672]),c_0_674]),c_0_676]),c_0_677]) ).

cnf(c_0_681,plain,
    op(e1,e2) != e0,
    inference(rw,[status(thm)],[c_0_678,c_0_679]) ).

cnf(c_0_682,plain,
    op(unit,e2) = e2,
    i_0_32 ).

cnf(c_0_683,plain,
    ( unit = e0
    | e1 = unit
    | unit = e2
    | e3 = unit
    | e4 = unit ),
    i_0_26 ).

cnf(c_0_684,plain,
    op(e0,unit) = e0,
    i_0_35 ).

cnf(c_0_685,plain,
    ( op(e0,e2) = e0
    | op(e4,e2) = e0 ),
    inference(sr,[status(thm)],[c_0_680,c_0_681]) ).

cnf(c_0_686,plain,
    ( op(e4,e2) = e2
    | unit = e2
    | unit = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_682,c_0_683]) ).

cnf(c_0_687,plain,
    e0 != e2,
    i_0_195 ).

cnf(c_0_688,plain,
    op(op(e2,e2),op(e2,e2)) = e4,
    i_0_197 ).

cnf(c_0_689,negated_conjecture,
    ( op(e4,e4) = e4
    | epred13_0 ),
    i_0_202 ).

cnf(c_0_690,negated_conjecture,
    ( epred13_0
    | op(e4,e4) != e4 ),
    i_0_201 ).

cnf(c_0_691,plain,
    op(e0,e4) != op(e0,e2),
    i_0_128 ).

cnf(c_0_692,plain,
    ( op(e0,e4) = e0
    | unit = e2
    | unit = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_684,c_0_683]) ).

cnf(c_0_693,plain,
    ( op(e0,e2) = e0
    | unit = e1
    | unit = e0
    | unit = e3
    | unit = e2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_685,c_0_686]),c_0_687]) ).

cnf(c_0_694,plain,
    op(e1,e1) != op(e0,e1),
    i_0_176 ).

cnf(c_0_695,plain,
    ( op(e3,e4) = e3
    | op(e3,e3) != e4
    | ~ epred5_0 ),
    i_0_417 ).

cnf(c_0_696,plain,
    op(e3,e3) = e4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_688,c_0_672]),c_0_672]) ).

cnf(c_0_697,plain,
    ( op(e1,e1) = e4
    | op(e2,e2) = e4
    | op(e4,e4) = e3
    | epred12_0
    | ~ epred13_0 ),
    i_0_621 ).

cnf(c_0_698,negated_conjecture,
    epred13_0,
    inference(csr,[status(thm)],[c_0_689,c_0_690]) ).

cnf(c_0_699,plain,
    e4 != e3,
    i_0_187 ).

cnf(c_0_700,plain,
    e4 != e0,
    i_0_193 ).

cnf(c_0_701,plain,
    ( unit = e1
    | unit = e0
    | unit = e3
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_692]),c_0_693]) ).

cnf(c_0_702,plain,
    op(e0,e1) != e0,
    inference(rw,[status(thm)],[c_0_694,c_0_679]) ).

cnf(c_0_703,plain,
    ( op(e3,e4) = e3
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_695,c_0_696])]) ).

cnf(c_0_704,negated_conjecture,
    ( epred1_0
    | epred2_0
    | epred3_0
    | epred4_0
    | epred5_0 ),
    i_0_203 ).

cnf(c_0_705,plain,
    ( op(e3,e3) = e0
    | op(e3,e0) != e3
    | ~ epred4_0 ),
    i_0_373 ).

cnf(c_0_706,plain,
    ( unit != e0
    | op(e1,e1) != e0
    | ~ epred1_0 ),
    i_0_240 ).

cnf(c_0_707,plain,
    ( op(e3,e3) = e3
    | op(e4,e4) = e3
    | epred11_0
    | op(e4,e0) != e4
    | ~ epred12_0 ),
    i_0_601 ).

cnf(c_0_708,plain,
    ( op(e4,e4) = e3
    | epred12_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_697,c_0_672]),c_0_679]),c_0_698])]),c_0_699]),c_0_700]) ).

cnf(c_0_709,plain,
    op(e4,unit) = e4,
    i_0_27 ).

cnf(c_0_710,plain,
    ( unit = e2
    | unit = e3
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_684,c_0_701]),c_0_702]) ).

cnf(c_0_711,plain,
    op(e3,e4) != op(e3,e0),
    i_0_103 ).

cnf(c_0_712,negated_conjecture,
    ( op(e3,e4) = e3
    | epred4_0
    | epred3_0
    | epred2_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_703,c_0_704]) ).

cnf(c_0_713,plain,
    ( op(e3,e0) != e3
    | ~ epred4_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_705,c_0_696]),c_0_700]) ).

cnf(c_0_714,plain,
    op(e3,unit) = e3,
    i_0_29 ).

cnf(c_0_715,plain,
    ( unit != e0
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_706,c_0_679])]) ).

cnf(c_0_716,plain,
    ( op(e4,e4) = e3
    | epred11_0
    | op(e4,e0) != e4 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_707,c_0_696]),c_0_699]),c_0_708]) ).

cnf(c_0_717,plain,
    ( op(e4,e0) = e4
    | unit = e3
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_709,c_0_710]) ).

cnf(c_0_718,plain,
    op(e2,e1) != op(e2,e2),
    i_0_112 ).

cnf(c_0_719,plain,
    ( op(e2,e2) = e0
    | op(e2,e0) != e2
    | ~ epred3_0 ),
    i_0_333 ).

cnf(c_0_720,plain,
    ( epred3_0
    | epred2_0
    | epred1_0
    | op(e3,e0) != e3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_711,c_0_712]),c_0_713]) ).

cnf(c_0_721,plain,
    ( op(e3,e0) = e3
    | unit = e3
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_714,c_0_710]) ).

cnf(c_0_722,plain,
    ( unit = e3
    | unit = e2
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_715,c_0_710]) ).

cnf(c_0_723,plain,
    op(e2,unit) = e2,
    i_0_31 ).

cnf(c_0_724,plain,
    op(e4,e4) != op(e4,e1),
    i_0_90 ).

cnf(c_0_725,plain,
    ( op(e4,e4) = e3
    | unit = e2
    | unit = e3
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_716,c_0_717]) ).

cnf(c_0_726,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3
    | op(e4,e1) = e3 ),
    i_0_69 ).

cnf(c_0_727,plain,
    op(e2,e1) != e3,
    inference(rw,[status(thm)],[c_0_718,c_0_672]) ).

cnf(c_0_728,plain,
    ( op(e3,e1) = e2
    | op(e3,e2) != e1
    | ~ epred2_0 ),
    i_0_269 ).

cnf(c_0_729,plain,
    ( op(e2,e0) != e2
    | ~ epred3_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_719,c_0_672]),c_0_676]) ).

cnf(c_0_730,plain,
    ( unit = e2
    | unit = e3
    | epred3_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_720,c_0_721]),c_0_722]) ).

cnf(c_0_731,plain,
    ( op(e2,e0) = e2
    | unit = e3
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_723,c_0_710]) ).

cnf(c_0_732,plain,
    op(unit,e1) = e1,
    i_0_34 ).

cnf(c_0_733,plain,
    ( unit = e3
    | unit = e2
    | epred11_0
    | op(e4,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_724,c_0_725]) ).

cnf(c_0_734,plain,
    ( op(e4,e1) = e3
    | op(e0,e1) = e3
    | op(e3,e1) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_726,c_0_679]),c_0_727]),c_0_676]) ).

cnf(c_0_735,plain,
    ( op(e3,e1) = e2
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_728,c_0_674])]) ).

cnf(c_0_736,plain,
    ( unit = e3
    | unit = e2
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_730]),c_0_731]) ).

cnf(c_0_737,plain,
    ( op(e0,e1) = e1
    | unit = e3
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_732,c_0_710]) ).

cnf(c_0_738,plain,
    ( op(e3,e1) = e3
    | op(e0,e1) = e3
    | unit = e2
    | unit = e3
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_733,c_0_734]) ).

cnf(c_0_739,plain,
    e3 != e1,
    i_0_191 ).

cnf(c_0_740,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | epred10_0
    | ~ epred11_0 ),
    i_0_588 ).

cnf(c_0_741,plain,
    e4 != e2,
    i_0_188 ).

cnf(c_0_742,plain,
    e4 != e1,
    i_0_190 ).

cnf(c_0_743,plain,
    ( op(e3,e1) = e2
    | unit = e2
    | unit = e3 ),
    inference(spm,[status(thm)],[c_0_735,c_0_736]) ).

cnf(c_0_744,plain,
    ( op(e3,e1) = e3
    | unit = e2
    | unit = e3
    | epred11_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_737,c_0_738]),c_0_739]) ).

cnf(c_0_745,plain,
    e3 != e2,
    i_0_189 ).

cnf(c_0_746,plain,
    ( op(e2,e2) = e2
    | op(e2,e2) = e4
    | op(e3,e3) = e2
    | epred9_0
    | ~ epred10_0 ),
    i_0_558 ).

cnf(c_0_747,plain,
    ( epred10_0
    | ~ epred11_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_740,c_0_696]),c_0_696]),c_0_696]),c_0_741]),c_0_700]),c_0_742]) ).

cnf(c_0_748,plain,
    ( unit = e3
    | unit = e2
    | epred11_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_743,c_0_744]),c_0_745]) ).

cnf(c_0_749,plain,
    ( op(e0,e0) = e1
    | op(e2,e2) = e0
    | op(e0,e0) != e0
    | ~ epred6_0 ),
    i_0_461 ).

cnf(c_0_750,plain,
    ( op(e1,e1) = e4
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | epred8_0
    | ~ epred9_0 ),
    i_0_543 ).

cnf(c_0_751,plain,
    ( epred9_0
    | ~ epred10_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_746,c_0_672]),c_0_672]),c_0_696]),c_0_745]),c_0_699]),c_0_741]) ).

cnf(c_0_752,plain,
    ( unit = e2
    | unit = e3
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_747,c_0_748]) ).

cnf(c_0_753,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e2,e2) = e0
    | ~ epred6_0 ),
    i_0_470 ).

cnf(c_0_754,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) != e0
    | ~ epred6_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_749,c_0_672]),c_0_676]) ).

cnf(c_0_755,plain,
    ( op(e1,e1) = e1
    | op(e2,e2) = e1
    | op(e3,e3) = e1
    | epred7_0
    | ~ epred8_0 ),
    i_0_512 ).

cnf(c_0_756,plain,
    ( epred8_0
    | ~ epred9_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_750,c_0_672]),c_0_672]),c_0_679]),c_0_676]),c_0_739]),c_0_700]) ).

cnf(c_0_757,plain,
    ( unit = e3
    | unit = e2
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_751,c_0_752]) ).

cnf(c_0_758,plain,
    op(unit,e4) = e4,
    i_0_28 ).

cnf(c_0_759,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e4
    | op(e3,e3) = e0
    | epred6_0
    | ~ epred7_0 ),
    i_0_488 ).

cnf(c_0_760,plain,
    ( op(e0,e0) = e1
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_753,c_0_672]),c_0_676]),c_0_754]) ).

cnf(c_0_761,plain,
    ( epred7_0
    | ~ epred8_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_755,c_0_672]),c_0_696]),c_0_679]),c_0_739]),c_0_742]),c_0_677]) ).

cnf(c_0_762,plain,
    ( unit = e2
    | unit = e3
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_756,c_0_757]) ).

cnf(c_0_763,plain,
    op(e0,e1) != op(e0,e0),
    i_0_136 ).

cnf(c_0_764,plain,
    op(e0,e4) != op(e0,e0),
    i_0_133 ).

cnf(c_0_765,plain,
    ( op(e0,e4) = e4
    | unit = e3
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_758,c_0_710]) ).

cnf(c_0_766,plain,
    ( op(e0,e0) = e4
    | op(e0,e0) = e1
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_759,c_0_696]),c_0_700]),c_0_760]) ).

cnf(c_0_767,plain,
    ( unit = e3
    | unit = e2
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_761,c_0_762]) ).

cnf(c_0_768,plain,
    ( unit = e2
    | unit = e3
    | op(e0,e0) != e1 ),
    inference(spm,[status(thm)],[c_0_763,c_0_737]) ).

cnf(c_0_769,plain,
    ( unit = e2
    | unit = e3
    | op(e0,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_764,c_0_765]) ).

cnf(c_0_770,plain,
    ( unit = e2
    | unit = e3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_766,c_0_767]),c_0_768]),c_0_769]) ).

cnf(c_0_771,plain,
    op(e4,e3) != op(e3,e3),
    i_0_147 ).

cnf(c_0_772,plain,
    unit = e3,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_723,c_0_770]),c_0_672]),c_0_745]) ).

cnf(c_0_773,plain,
    op(e4,e3) != e4,
    inference(rw,[status(thm)],[c_0_771,c_0_696]) ).

cnf(c_0_774,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_709,c_0_772]),c_0_773]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG058+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 05:11:52 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 8.72/2.62  # ENIGMATIC: Solved by autoschedule:
% 8.72/2.62  # No SInE strategy applied
% 8.72/2.62  # Trying AutoSched0 for 150 seconds
% 8.72/2.62  # AutoSched0-Mode selected heuristic H_____102_C18_F1_PI_AE_Q4_CS_SP_S1S
% 8.72/2.62  # and selection function SelectComplexAHP.
% 8.72/2.62  #
% 8.72/2.62  # Preprocessing time       : 0.032 s
% 8.72/2.62  
% 8.72/2.62  # Proof found!
% 8.72/2.62  # SZS status Theorem
% 8.72/2.62  # SZS output start CNFRefutation
% See solution above
% 8.72/2.62  # Training examples: 0 positive, 0 negative
% 8.72/2.62  
% 8.72/2.62  # -------------------------------------------------
% 8.72/2.62  # User time                : 0.069 s
% 8.72/2.62  # System time              : 0.007 s
% 8.72/2.62  # Total time               : 0.076 s
% 8.72/2.62  # Maximum resident set size: 7120 pages
% 8.72/2.62  
%------------------------------------------------------------------------------