TSTP Solution File: ALG042+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG042+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 14:44:15 EDT 2022

% Result   : Theorem 7.63s 2.30s
% Output   : CNFRefutation 7.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   55 (  42 unt;  13 nHn;  55 RR)
%            Number of literals    :   89 (  82 equ;  14 neg)
%            Maximal clause size   :    5 (   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_84,negated_conjecture,
    op1(j(e20),j(e20)) = j(op2(e20,e20)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_84) ).

cnf(i_0_60,plain,
    op2(e20,e20) = e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_60) ).

cnf(i_0_105,plain,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_105) ).

cnf(i_0_101,negated_conjecture,
    epred1_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_101) ).

cnf(i_0_29,plain,
    op1(e13,e13) = e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_29) ).

cnf(i_0_4,plain,
    e13 != e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_4) ).

cnf(i_0_34,plain,
    op1(e12,e12) = e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_34) ).

cnf(i_0_5,plain,
    e12 != e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_5) ).

cnf(i_0_79,negated_conjecture,
    op1(j(e21),j(e21)) = j(op2(e21,e21)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_79) ).

cnf(i_0_55,plain,
    op2(e21,e21) = e23,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_55) ).

cnf(i_0_104,plain,
    ( j(e21) = e10
    | j(e21) = e11
    | j(e21) = e12
    | j(e21) = e13
    | ~ epred1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_104) ).

cnf(i_0_39,plain,
    op1(e11,e11) = e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_39) ).

cnf(i_0_6,plain,
    e11 != e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_6) ).

cnf(i_0_68,negated_conjecture,
    h(j(e20)) = e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_68) ).

cnf(i_0_65,negated_conjecture,
    h(j(e23)) = e23,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_65) ).

cnf(i_0_10,plain,
    e23 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_10) ).

cnf(i_0_95,negated_conjecture,
    h(op1(e11,e11)) = op2(h(e11),h(e11)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_95) ).

cnf(i_0_67,negated_conjecture,
    h(j(e21)) = e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_67) ).

cnf(i_0_12,plain,
    e21 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c2_rc0s/input.p',i_0_12) ).

cnf(c_0_125,negated_conjecture,
    op1(j(e20),j(e20)) = j(op2(e20,e20)),
    i_0_84 ).

cnf(c_0_126,plain,
    op2(e20,e20) = e20,
    i_0_60 ).

cnf(c_0_127,plain,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13
    | ~ epred1_0 ),
    i_0_105 ).

cnf(c_0_128,negated_conjecture,
    epred1_0,
    i_0_101 ).

cnf(c_0_129,negated_conjecture,
    op1(j(e20),j(e20)) = j(e20),
    inference(rw,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_130,plain,
    ( j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128])]) ).

cnf(c_0_131,plain,
    op1(e13,e13) = e10,
    i_0_29 ).

cnf(c_0_132,plain,
    e13 != e10,
    i_0_4 ).

cnf(c_0_133,plain,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]),c_0_132]) ).

cnf(c_0_134,plain,
    op1(e12,e12) = e10,
    i_0_34 ).

cnf(c_0_135,plain,
    e12 != e10,
    i_0_5 ).

cnf(c_0_136,negated_conjecture,
    op1(j(e21),j(e21)) = j(op2(e21,e21)),
    i_0_79 ).

cnf(c_0_137,plain,
    op2(e21,e21) = e23,
    i_0_55 ).

cnf(c_0_138,plain,
    ( j(e21) = e10
    | j(e21) = e11
    | j(e21) = e12
    | j(e21) = e13
    | ~ epred1_0 ),
    i_0_104 ).

cnf(c_0_139,negated_conjecture,
    ( j(e20) = e11
    | j(e20) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_133]),c_0_134]),c_0_135]) ).

cnf(c_0_140,plain,
    op1(e11,e11) = e10,
    i_0_39 ).

cnf(c_0_141,plain,
    e11 != e10,
    i_0_6 ).

cnf(c_0_142,negated_conjecture,
    op1(j(e21),j(e21)) = j(e23),
    inference(rw,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_143,plain,
    ( j(e21) = e13
    | j(e21) = e12
    | j(e21) = e11
    | j(e21) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_128])]) ).

cnf(c_0_144,negated_conjecture,
    h(j(e20)) = e20,
    i_0_68 ).

cnf(c_0_145,negated_conjecture,
    j(e20) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_139]),c_0_140]),c_0_141]) ).

cnf(c_0_146,negated_conjecture,
    h(j(e23)) = e23,
    i_0_65 ).

cnf(c_0_147,plain,
    ( j(e21) = e10
    | j(e21) = e11
    | j(e21) = e12
    | j(e23) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_131]) ).

cnf(c_0_148,negated_conjecture,
    h(e10) = e20,
    inference(rw,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_149,plain,
    e23 != e20,
    i_0_10 ).

cnf(c_0_150,negated_conjecture,
    ( j(e21) = e12
    | j(e21) = e11
    | j(e21) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]),c_0_149]) ).

cnf(c_0_151,negated_conjecture,
    ( j(e21) = e10
    | j(e21) = e11
    | j(e23) = e10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_150]),c_0_134]) ).

cnf(c_0_152,negated_conjecture,
    h(op1(e11,e11)) = op2(h(e11),h(e11)),
    i_0_95 ).

cnf(c_0_153,negated_conjecture,
    h(j(e21)) = e21,
    i_0_67 ).

cnf(c_0_154,negated_conjecture,
    ( j(e21) = e11
    | j(e21) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_151]),c_0_148]),c_0_149]) ).

cnf(c_0_155,negated_conjecture,
    op2(h(e11),h(e11)) = h(e10),
    inference(rw,[status(thm)],[c_0_152,c_0_140]) ).

cnf(c_0_156,negated_conjecture,
    ( j(e21) = e10
    | h(e11) = e21 ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_157,plain,
    e21 != e20,
    i_0_12 ).

cnf(c_0_158,negated_conjecture,
    op2(h(e11),h(e11)) = e20,
    inference(rw,[status(thm)],[c_0_155,c_0_148]) ).

cnf(c_0_159,negated_conjecture,
    h(e11) = e21,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_156]),c_0_148]),c_0_157]) ).

cnf(c_0_160,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159]),c_0_159]),c_0_137]),c_0_149]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG042+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 : n021.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 14:33:09 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.44  # ENIGMATIC: Selected complete mode:
% 7.63/2.30  # ENIGMATIC: Solved by autoschedule:
% 7.63/2.30  # No SInE strategy applied
% 7.63/2.30  # Trying AutoSched0 for 150 seconds
% 7.63/2.30  # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 7.63/2.30  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.63/2.30  #
% 7.63/2.30  # Preprocessing time       : 0.024 s
% 7.63/2.30  
% 7.63/2.30  # Proof found!
% 7.63/2.30  # SZS status Theorem
% 7.63/2.30  # SZS output start CNFRefutation
% See solution above
% 7.63/2.30  # Training examples: 0 positive, 0 negative
% 7.63/2.30  
% 7.63/2.30  # -------------------------------------------------
% 7.63/2.30  # User time                : 0.031 s
% 7.63/2.30  # System time              : 0.003 s
% 7.63/2.30  # Total time               : 0.034 s
% 7.63/2.30  # Maximum resident set size: 7124 pages
% 7.63/2.30  
%------------------------------------------------------------------------------