TSTP Solution File: RNG071+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG071+2 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 20:24:53 EDT 2022

% Result   : Theorem 11.68s 3.87s
% Output   : CNFRefutation 11.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   27
% Syntax   : Number of clauses     :   71 (  47 unt;   3 nHn;  71 RR)
%            Number of literals    :  133 (  12 equ;  70 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  12 con; 0-2 aty)
%            Number of variables   :   33 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_56,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_56) ).

cnf(i_0_76,hypothesis,
    sdtasasdt0(xq,xq) = xD,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_76) ).

cnf(i_0_69,hypothesis,
    aVector0(xq),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_69) ).

cnf(i_0_42,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_42) ).

cnf(i_0_80,hypothesis,
    sdtasdt0(xA,xA) = xF,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_80) ).

cnf(i_0_71,hypothesis,
    aScalar0(xA),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_71) ).

cnf(i_0_40,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_40) ).

cnf(i_0_90,hypothesis,
    sdtasdt0(xF,xD) = xS,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_90) ).

cnf(i_0_77,hypothesis,
    aScalar0(xD),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_77) ).

cnf(i_0_81,hypothesis,
    aScalar0(xF),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_81) ).

cnf(i_0_82,hypothesis,
    sdtasdt0(xB,xB) = xG,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_82) ).

cnf(i_0_73,hypothesis,
    aScalar0(xB),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_73) ).

cnf(i_0_74,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_74) ).

cnf(i_0_65,hypothesis,
    aVector0(xp),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_65) ).

cnf(i_0_100,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_100) ).

cnf(i_0_41,plain,
    ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_41) ).

cnf(i_0_89,hypothesis,
    aScalar0(xP),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_89) ).

cnf(i_0_98,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_98) ).

cnf(i_0_37,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_37) ).

cnf(i_0_91,hypothesis,
    aScalar0(xS),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_91) ).

cnf(i_0_87,hypothesis,
    aScalar0(xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_87) ).

cnf(i_0_36,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_36) ).

cnf(i_0_11,plain,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_11) ).

cnf(i_0_86,hypothesis,
    sdtasdt0(xC,xG) = xR,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_86) ).

cnf(i_0_83,hypothesis,
    aScalar0(xG),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_83) ).

cnf(i_0_75,hypothesis,
    aScalar0(xC),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_75) ).

cnf(i_0_39,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-giak5_qw/lgb.p',i_0_39) ).

cnf(c_0_128,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    i_0_56 ).

cnf(c_0_129,hypothesis,
    sdtasasdt0(xq,xq) = xD,
    i_0_76 ).

cnf(c_0_130,hypothesis,
    aVector0(xq),
    i_0_69 ).

cnf(c_0_131,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    i_0_42 ).

cnf(c_0_132,hypothesis,
    sdtasdt0(xA,xA) = xF,
    i_0_80 ).

cnf(c_0_133,hypothesis,
    aScalar0(xA),
    i_0_71 ).

cnf(c_0_134,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    i_0_40 ).

cnf(c_0_135,hypothesis,
    sdtasdt0(xF,xD) = xS,
    i_0_90 ).

cnf(c_0_136,hypothesis,
    aScalar0(xD),
    i_0_77 ).

cnf(c_0_137,hypothesis,
    aScalar0(xF),
    i_0_81 ).

cnf(c_0_138,hypothesis,
    sdtlseqdt0(sz0z00,xD),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130])]) ).

cnf(c_0_139,hypothesis,
    sdtlseqdt0(sz0z00,xF),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133])]) ).

cnf(c_0_140,hypothesis,
    sdtasdt0(xB,xB) = xG,
    i_0_82 ).

cnf(c_0_141,hypothesis,
    aScalar0(xB),
    i_0_73 ).

cnf(c_0_142,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    i_0_74 ).

cnf(c_0_143,hypothesis,
    aVector0(xp),
    i_0_65 ).

cnf(c_0_144,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
    i_0_100 ).

cnf(c_0_145,plain,
    ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    i_0_41 ).

cnf(c_0_146,hypothesis,
    aScalar0(xP),
    i_0_89 ).

cnf(c_0_147,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    i_0_98 ).

cnf(c_0_148,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_37 ).

cnf(c_0_149,hypothesis,
    aScalar0(xS),
    i_0_91 ).

cnf(c_0_150,hypothesis,
    aScalar0(xR),
    i_0_87 ).

cnf(c_0_151,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_36 ).

cnf(c_0_152,hypothesis,
    sdtlseqdt0(sz0z00,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_137])]),c_0_138]),c_0_139])]) ).

cnf(c_0_153,plain,
    aScalar0(sz0z00),
    i_0_11 ).

cnf(c_0_154,hypothesis,
    sdtasdt0(xC,xG) = xR,
    i_0_86 ).

cnf(c_0_155,hypothesis,
    aScalar0(xG),
    i_0_83 ).

cnf(c_0_156,hypothesis,
    aScalar0(xC),
    i_0_75 ).

cnf(c_0_157,hypothesis,
    sdtlseqdt0(sz0z00,xG),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_140]),c_0_141])]) ).

cnf(c_0_158,hypothesis,
    sdtlseqdt0(sz0z00,xC),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_142]),c_0_143])]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sz0z00,xP) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146])]) ).

cnf(c_0_160,hypothesis,
    ( ~ sdtlseqdt0(xP,xS)
    | ~ sdtlseqdt0(xP,xR) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]),c_0_150]),c_0_146])]) ).

cnf(c_0_161,plain,
    ( sdtlseqdt0(X1,xS)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]),c_0_149])]) ).

cnf(c_0_162,hypothesis,
    sdtlseqdt0(sz0z00,xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_154]),c_0_155]),c_0_156])]),c_0_157]),c_0_158])]) ).

cnf(c_0_163,plain,
    ( ~ sdtlseqdt0(sz0z00,xP)
    | ~ sdtlseqdt0(sz0z00,xS)
    | ~ sdtlseqdt0(sz0z00,xR) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_145]),c_0_149]),c_0_150])]) ).

cnf(c_0_164,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    i_0_39 ).

cnf(c_0_165,hypothesis,
    ( ~ sdtlseqdt0(xP,xR)
    | ~ sdtlseqdt0(xP,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_146])]) ).

cnf(c_0_166,plain,
    ( sdtlseqdt0(X1,xR)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X1,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_162]),c_0_153]),c_0_150])]) ).

cnf(c_0_167,plain,
    ( ~ sdtlseqdt0(sz0z00,xP)
    | ~ sdtlseqdt0(sz0z00,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_162])]) ).

cnf(c_0_168,hypothesis,
    ( sdtlseqdt0(xP,X1)
    | sdtlseqdt0(X1,xP)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_164,c_0_146]) ).

cnf(c_0_169,plain,
    ~ sdtlseqdt0(xP,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_146])]) ).

cnf(c_0_170,plain,
    ~ sdtlseqdt0(sz0z00,xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_152])]) ).

cnf(c_0_171,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_153]),c_0_169]),c_0_170]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : RNG071+2 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.08/0.30  % Computer : n025.cluster.edu
% 0.08/0.30  % Model    : x86_64 x86_64
% 0.08/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30  % Memory   : 8042.1875MB
% 0.08/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30  % CPULimit : 300
% 0.08/0.30  % WCLimit  : 600
% 0.08/0.30  % DateTime : Mon May 30 10:28:14 EDT 2022
% 0.08/0.30  % CPUTime  : 
% 0.14/0.39  # ENIGMATIC: Selected complete mode:
% 11.68/3.87  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.68/3.87  # No SInE strategy applied
% 11.68/3.87  # Trying AutoSched0 for 150 seconds
% 11.68/3.87  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 11.68/3.87  # and selection function SelectMaxLComplexAvoidPosPred.
% 11.68/3.87  #
% 11.68/3.87  # Preprocessing time       : 0.023 s
% 11.68/3.87  
% 11.68/3.87  # Proof found!
% 11.68/3.87  # SZS status Theorem
% 11.68/3.87  # SZS output start CNFRefutation
% See solution above
% 11.68/3.87  # Training examples: 0 positive, 0 negative
% 11.68/3.87  
% 11.68/3.87  # -------------------------------------------------
% 11.68/3.87  # User time                : 0.035 s
% 11.68/3.87  # System time              : 0.007 s
% 11.68/3.87  # Total time               : 0.041 s
% 11.68/3.87  # Maximum resident set size: 7124 pages
% 11.68/3.87  
%------------------------------------------------------------------------------