TSTP Solution File: ALG083+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG083+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 14:51:38 EDT 2022

% Result   : Theorem 7.66s 2.34s
% Output   : CNFRefutation 7.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   66 (  53 unt;  13 nHn;  66 RR)
%            Number of literals    :  107 ( 100 equ;  20 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_155,negated_conjecture,
    h(op1(e10,e10)) = op2(h(e10),h(e10)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_155) ).

cnf(i_0_70,plain,
    op1(e10,e10) = e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_70) ).

cnf(i_0_166,plain,
    ( h(e10) = e20
    | h(e10) = e21
    | h(e10) = e22
    | h(e10) = e23
    | h(e10) = e24
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_166) ).

cnf(i_0_156,negated_conjecture,
    epred1_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_156) ).

cnf(i_0_71,plain,
    op2(e24,e24) = e22,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_71) ).

cnf(i_0_12,plain,
    e24 != e22,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_12) ).

cnf(i_0_77,plain,
    op2(e23,e23) = e24,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_77) ).

cnf(i_0_11,plain,
    e24 != e23,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_11) ).

cnf(i_0_83,plain,
    op2(e22,e22) = e23,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_83) ).

cnf(i_0_13,plain,
    e23 != e22,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_13) ).

cnf(i_0_100,negated_conjecture,
    j(h(e10)) = e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_100) ).

cnf(i_0_89,plain,
    op2(e21,e21) = e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_89) ).

cnf(i_0_20,plain,
    e21 != e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_20) ).

cnf(i_0_124,negated_conjecture,
    op1(j(e21),j(e21)) = j(op2(e21,e21)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_124) ).

cnf(i_0_160,plain,
    ( j(e21) = e10
    | j(e21) = e11
    | j(e21) = e12
    | j(e21) = e13
    | j(e21) = e14
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_160) ).

cnf(i_0_105,negated_conjecture,
    h(j(e20)) = e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_105) ).

cnf(i_0_104,negated_conjecture,
    h(j(e21)) = e21,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_104) ).

cnf(i_0_52,plain,
    op1(e13,e13) = e11,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_52) ).

cnf(i_0_10,plain,
    e11 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_10) ).

cnf(i_0_58,plain,
    op1(e12,e12) = e13,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_58) ).

cnf(i_0_8,plain,
    e13 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_8) ).

cnf(i_0_46,plain,
    op1(e14,e14) = e12,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_46) ).

cnf(i_0_9,plain,
    e12 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_9) ).

cnf(i_0_64,plain,
    op1(e11,e11) = e14,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_64) ).

cnf(i_0_7,plain,
    e14 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6t3j0x8b/lgb.p',i_0_7) ).

cnf(c_0_192,negated_conjecture,
    h(op1(e10,e10)) = op2(h(e10),h(e10)),
    i_0_155 ).

cnf(c_0_193,plain,
    op1(e10,e10) = e10,
    i_0_70 ).

cnf(c_0_194,plain,
    ( h(e10) = e20
    | h(e10) = e21
    | h(e10) = e22
    | h(e10) = e23
    | h(e10) = e24
    | ~ epred1_0 ),
    i_0_166 ).

cnf(c_0_195,negated_conjecture,
    epred1_0,
    i_0_156 ).

cnf(c_0_196,negated_conjecture,
    op2(h(e10),h(e10)) = h(e10),
    inference(rw,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_197,plain,
    ( h(e10) = e24
    | h(e10) = e23
    | h(e10) = e22
    | h(e10) = e20
    | h(e10) = e21 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_195])]) ).

cnf(c_0_198,plain,
    op2(e24,e24) = e22,
    i_0_71 ).

cnf(c_0_199,plain,
    e24 != e22,
    i_0_12 ).

cnf(c_0_200,negated_conjecture,
    ( h(e10) = e23
    | h(e10) = e22
    | h(e10) = e20
    | h(e10) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]),c_0_199]) ).

cnf(c_0_201,plain,
    op2(e23,e23) = e24,
    i_0_77 ).

cnf(c_0_202,plain,
    e24 != e23,
    i_0_11 ).

cnf(c_0_203,negated_conjecture,
    ( h(e10) = e21
    | h(e10) = e20
    | h(e10) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_200]),c_0_201]),c_0_202]) ).

cnf(c_0_204,plain,
    op2(e22,e22) = e23,
    i_0_83 ).

cnf(c_0_205,plain,
    e23 != e22,
    i_0_13 ).

cnf(c_0_206,negated_conjecture,
    j(h(e10)) = e10,
    i_0_100 ).

cnf(c_0_207,negated_conjecture,
    ( h(e10) = e20
    | h(e10) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_203]),c_0_204]),c_0_205]) ).

cnf(c_0_208,negated_conjecture,
    ( h(e10) = e21
    | j(e20) = e10 ),
    inference(spm,[status(thm)],[c_0_206,c_0_207]) ).

cnf(c_0_209,plain,
    op2(e21,e21) = e20,
    i_0_89 ).

cnf(c_0_210,plain,
    e21 != e20,
    i_0_20 ).

cnf(c_0_211,negated_conjecture,
    op1(j(e21),j(e21)) = j(op2(e21,e21)),
    i_0_124 ).

cnf(c_0_212,plain,
    ( j(e21) = e10
    | j(e21) = e11
    | j(e21) = e12
    | j(e21) = e13
    | j(e21) = e14
    | ~ epred1_0 ),
    i_0_160 ).

cnf(c_0_213,negated_conjecture,
    h(j(e20)) = e20,
    i_0_105 ).

cnf(c_0_214,negated_conjecture,
    j(e20) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_208]),c_0_209]),c_0_210]) ).

cnf(c_0_215,negated_conjecture,
    op1(j(e21),j(e21)) = j(e20),
    inference(rw,[status(thm)],[c_0_211,c_0_209]) ).

cnf(c_0_216,negated_conjecture,
    h(j(e21)) = e21,
    i_0_104 ).

cnf(c_0_217,plain,
    ( j(e21) = e10
    | j(e21) = e13
    | j(e21) = e12
    | j(e21) = e14
    | j(e21) = e11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_195])]) ).

cnf(c_0_218,negated_conjecture,
    h(e10) = e20,
    inference(rw,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_219,negated_conjecture,
    op1(j(e21),j(e21)) = e10,
    inference(rw,[status(thm)],[c_0_215,c_0_214]) ).

cnf(c_0_220,negated_conjecture,
    ( j(e21) = e13
    | j(e21) = e12
    | j(e21) = e14
    | j(e21) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]),c_0_210]) ).

cnf(c_0_221,plain,
    op1(e13,e13) = e11,
    i_0_52 ).

cnf(c_0_222,plain,
    e11 != e10,
    i_0_10 ).

cnf(c_0_223,negated_conjecture,
    ( j(e21) = e11
    | j(e21) = e14
    | j(e21) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]),c_0_222]) ).

cnf(c_0_224,plain,
    op1(e12,e12) = e13,
    i_0_58 ).

cnf(c_0_225,plain,
    e13 != e10,
    i_0_8 ).

cnf(c_0_226,negated_conjecture,
    ( j(e21) = e14
    | j(e21) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_223]),c_0_224]),c_0_225]) ).

cnf(c_0_227,plain,
    op1(e14,e14) = e12,
    i_0_46 ).

cnf(c_0_228,plain,
    e12 != e10,
    i_0_9 ).

cnf(c_0_229,negated_conjecture,
    j(e21) = e11,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_226]),c_0_227]),c_0_228]) ).

cnf(c_0_230,plain,
    op1(e11,e11) = e14,
    i_0_64 ).

cnf(c_0_231,plain,
    e14 != e10,
    i_0_7 ).

cnf(c_0_232,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_229]),c_0_229]),c_0_230]),c_0_231]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG083+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 09:25:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.66/2.34  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.66/2.34  # No SInE strategy applied
% 7.66/2.34  # Trying AutoSched0 for 150 seconds
% 7.66/2.34  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S053A
% 7.66/2.34  # and selection function HSelectMinInfpos.
% 7.66/2.34  #
% 7.66/2.34  # Preprocessing time       : 0.025 s
% 7.66/2.34  # Presaturation interreduction done
% 7.66/2.34  
% 7.66/2.34  # Proof found!
% 7.66/2.34  # SZS status Theorem
% 7.66/2.34  # SZS output start CNFRefutation
% See solution above
% 7.66/2.34  # Training examples: 0 positive, 0 negative
% 7.66/2.34  
% 7.66/2.34  # -------------------------------------------------
% 7.66/2.34  # User time                : 0.029 s
% 7.66/2.34  # System time              : 0.009 s
% 7.66/2.34  # Total time               : 0.038 s
% 7.66/2.34  # Maximum resident set size: 7124 pages
% 7.66/2.34  
%------------------------------------------------------------------------------