TSTP Solution File: ALG075+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG075+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 14:51:36 EDT 2022

% Result   : Theorem 7.44s 2.45s
% Output   : CNFRefutation 7.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   59 (  47 unt;  12 nHn;  59 RR)
%            Number of literals    :   99 (  92 equ;  22 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    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_130,negated_conjecture,
    op1(j(e20),j(e20)) = j(op2(e20,e20)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_130) ).

cnf(i_0_95,plain,
    op2(e20,e20) = e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_95) ).

cnf(i_0_161,plain,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13
    | j(e20) = e14
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_161) ).

cnf(i_0_156,negated_conjecture,
    epred1_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_156) ).

cnf(i_0_46,plain,
    op1(e14,e14) = e12,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_46) ).

cnf(i_0_2,plain,
    e14 != e12,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_2) ).

cnf(i_0_52,plain,
    op1(e13,e13) = e11,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_52) ).

cnf(i_0_5,plain,
    e13 != e11,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_5) ).

cnf(i_0_58,plain,
    op1(e12,e12) = e13,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_58) ).

cnf(i_0_3,plain,
    e13 != e12,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_3) ).

cnf(i_0_106,negated_conjecture,
    op1(j(e24),j(e24)) = j(op2(e24,e24)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_106) ).

cnf(i_0_71,plain,
    op2(e24,e24) = e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_71) ).

cnf(i_0_64,plain,
    op1(e11,e11) = e14,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_64) ).

cnf(i_0_4,plain,
    e14 != e11,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_4) ).

cnf(i_0_157,plain,
    ( j(e24) = e10
    | j(e24) = e11
    | j(e24) = e12
    | j(e24) = e13
    | j(e24) = e14
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_157) ).

cnf(i_0_9,plain,
    e12 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_9) ).

cnf(i_0_10,plain,
    e11 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_10) ).

cnf(i_0_8,plain,
    e13 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_8) ).

cnf(i_0_7,plain,
    e14 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_7) ).

cnf(i_0_105,negated_conjecture,
    h(j(e20)) = e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_105) ).

cnf(i_0_101,negated_conjecture,
    h(j(e24)) = e24,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_101) ).

cnf(i_0_17,plain,
    e24 != e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6v0o6iu9/input.p',i_0_17) ).

cnf(c_0_184,negated_conjecture,
    op1(j(e20),j(e20)) = j(op2(e20,e20)),
    i_0_130 ).

cnf(c_0_185,plain,
    op2(e20,e20) = e20,
    i_0_95 ).

cnf(c_0_186,plain,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13
    | j(e20) = e14
    | ~ epred1_0 ),
    i_0_161 ).

cnf(c_0_187,negated_conjecture,
    epred1_0,
    i_0_156 ).

cnf(c_0_188,negated_conjecture,
    op1(j(e20),j(e20)) = j(e20),
    inference(rw,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_189,plain,
    ( j(e20) = e14
    | j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_187])]) ).

cnf(c_0_190,plain,
    op1(e14,e14) = e12,
    i_0_46 ).

cnf(c_0_191,plain,
    e14 != e12,
    i_0_2 ).

cnf(c_0_192,plain,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]),c_0_191]) ).

cnf(c_0_193,plain,
    op1(e13,e13) = e11,
    i_0_52 ).

cnf(c_0_194,plain,
    e13 != e11,
    i_0_5 ).

cnf(c_0_195,negated_conjecture,
    ( j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_192]),c_0_193]),c_0_194]) ).

cnf(c_0_196,plain,
    op1(e12,e12) = e13,
    i_0_58 ).

cnf(c_0_197,plain,
    e13 != e12,
    i_0_3 ).

cnf(c_0_198,negated_conjecture,
    op1(j(e24),j(e24)) = j(op2(e24,e24)),
    i_0_106 ).

cnf(c_0_199,plain,
    op2(e24,e24) = e20,
    i_0_71 ).

cnf(c_0_200,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_195]),c_0_196]),c_0_197]) ).

cnf(c_0_201,plain,
    op1(e11,e11) = e14,
    i_0_64 ).

cnf(c_0_202,plain,
    e14 != e11,
    i_0_4 ).

cnf(c_0_203,negated_conjecture,
    op1(j(e24),j(e24)) = j(e20),
    inference(rw,[status(thm)],[c_0_198,c_0_199]) ).

cnf(c_0_204,negated_conjecture,
    j(e20) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_200]),c_0_201]),c_0_202]) ).

cnf(c_0_205,plain,
    ( j(e24) = e10
    | j(e24) = e11
    | j(e24) = e12
    | j(e24) = e13
    | j(e24) = e14
    | ~ epred1_0 ),
    i_0_157 ).

cnf(c_0_206,negated_conjecture,
    op1(j(e24),j(e24)) = e10,
    inference(rw,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_207,plain,
    ( j(e24) = e14
    | j(e24) = e13
    | j(e24) = e12
    | j(e24) = e11
    | j(e24) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_187])]) ).

cnf(c_0_208,plain,
    e12 != e10,
    i_0_9 ).

cnf(c_0_209,plain,
    ( j(e24) = e10
    | j(e24) = e11
    | j(e24) = e12
    | j(e24) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_190]),c_0_208]) ).

cnf(c_0_210,plain,
    e11 != e10,
    i_0_10 ).

cnf(c_0_211,negated_conjecture,
    ( j(e24) = e12
    | j(e24) = e11
    | j(e24) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_209]),c_0_193]),c_0_210]) ).

cnf(c_0_212,plain,
    e13 != e10,
    i_0_8 ).

cnf(c_0_213,negated_conjecture,
    ( j(e24) = e10
    | j(e24) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_211]),c_0_196]),c_0_212]) ).

cnf(c_0_214,plain,
    e14 != e10,
    i_0_7 ).

cnf(c_0_215,negated_conjecture,
    h(j(e20)) = e20,
    i_0_105 ).

cnf(c_0_216,negated_conjecture,
    h(j(e24)) = e24,
    i_0_101 ).

cnf(c_0_217,negated_conjecture,
    j(e24) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_213]),c_0_201]),c_0_214]) ).

cnf(c_0_218,negated_conjecture,
    h(e10) = e20,
    inference(rw,[status(thm)],[c_0_215,c_0_204]) ).

cnf(c_0_219,plain,
    e24 != e20,
    i_0_17 ).

cnf(c_0_220,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_217]),c_0_218]),c_0_219]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ALG075+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n019.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
% 0.12/0.34  % DateTime : Wed Jun  8 18:12:41 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 7.44/2.45  # ENIGMATIC: Solved by autoschedule:
% 7.44/2.45  # No SInE strategy applied
% 7.44/2.45  # Trying AutoSched0 for 150 seconds
% 7.44/2.45  # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 7.44/2.45  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.44/2.45  #
% 7.44/2.45  # Preprocessing time       : 0.013 s
% 7.44/2.45  
% 7.44/2.45  # Proof found!
% 7.44/2.45  # SZS status Theorem
% 7.44/2.45  # SZS output start CNFRefutation
% See solution above
% 7.44/2.45  # Training examples: 0 positive, 0 negative
% 7.44/2.45  
% 7.44/2.45  # -------------------------------------------------
% 7.44/2.45  # User time                : 0.016 s
% 7.44/2.45  # System time              : 0.006 s
% 7.44/2.45  # Total time               : 0.022 s
% 7.44/2.45  # Maximum resident set size: 7120 pages
% 7.44/2.45  
%------------------------------------------------------------------------------