TSTP Solution File: RNG071+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG071+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 7.68s 2.32s
% Output   : CNFRefutation 7.68s
% 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-a68o1ekf/lgb.p',i_0_56) ).

cnf(i_0_72,hypothesis,
    sdtasasdt0(xq,xq) = xD,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_72) ).

cnf(i_0_65,hypothesis,
    aVector0(xq),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_65) ).

cnf(i_0_42,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_42) ).

cnf(i_0_76,hypothesis,
    sdtasdt0(xA,xA) = xF,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_76) ).

cnf(i_0_67,hypothesis,
    aScalar0(xA),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_67) ).

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-a68o1ekf/lgb.p',i_0_40) ).

cnf(i_0_86,hypothesis,
    sdtasdt0(xF,xD) = xS,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_86) ).

cnf(i_0_73,hypothesis,
    aScalar0(xD),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_73) ).

cnf(i_0_77,hypothesis,
    aScalar0(xF),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_77) ).

cnf(i_0_78,hypothesis,
    sdtasdt0(xB,xB) = xG,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_78) ).

cnf(i_0_69,hypothesis,
    aScalar0(xB),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_69) ).

cnf(i_0_70,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_70) ).

cnf(i_0_63,hypothesis,
    aVector0(xp),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_63) ).

cnf(i_0_96,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_96) ).

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-a68o1ekf/lgb.p',i_0_41) ).

cnf(i_0_85,hypothesis,
    aScalar0(xP),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_85) ).

cnf(i_0_94,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_94) ).

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-a68o1ekf/lgb.p',i_0_37) ).

cnf(i_0_87,hypothesis,
    aScalar0(xS),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_87) ).

cnf(i_0_83,hypothesis,
    aScalar0(xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_83) ).

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-a68o1ekf/lgb.p',i_0_36) ).

cnf(i_0_11,plain,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_11) ).

cnf(i_0_82,hypothesis,
    sdtasdt0(xC,xG) = xR,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_82) ).

cnf(i_0_79,hypothesis,
    aScalar0(xG),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_79) ).

cnf(i_0_71,hypothesis,
    aScalar0(xC),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_71) ).

cnf(i_0_39,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-a68o1ekf/lgb.p',i_0_39) ).

cnf(c_0_124,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
    | ~ aVector0(X1) ),
    i_0_56 ).

cnf(c_0_125,hypothesis,
    sdtasasdt0(xq,xq) = xD,
    i_0_72 ).

cnf(c_0_126,hypothesis,
    aVector0(xq),
    i_0_65 ).

cnf(c_0_127,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    i_0_42 ).

cnf(c_0_128,hypothesis,
    sdtasdt0(xA,xA) = xF,
    i_0_76 ).

cnf(c_0_129,hypothesis,
    aScalar0(xA),
    i_0_67 ).

cnf(c_0_130,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    i_0_40 ).

cnf(c_0_131,hypothesis,
    sdtasdt0(xF,xD) = xS,
    i_0_86 ).

cnf(c_0_132,hypothesis,
    aScalar0(xD),
    i_0_73 ).

cnf(c_0_133,hypothesis,
    aScalar0(xF),
    i_0_77 ).

cnf(c_0_134,hypothesis,
    sdtlseqdt0(sz0z00,xD),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126])]) ).

cnf(c_0_135,hypothesis,
    sdtlseqdt0(sz0z00,xF),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).

cnf(c_0_136,hypothesis,
    sdtasdt0(xB,xB) = xG,
    i_0_78 ).

cnf(c_0_137,hypothesis,
    aScalar0(xB),
    i_0_69 ).

cnf(c_0_138,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    i_0_70 ).

cnf(c_0_139,hypothesis,
    aVector0(xp),
    i_0_63 ).

cnf(c_0_140,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
    i_0_96 ).

cnf(c_0_141,plain,
    ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(sz0z00,X1) ),
    i_0_41 ).

cnf(c_0_142,hypothesis,
    aScalar0(xP),
    i_0_85 ).

cnf(c_0_143,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    i_0_94 ).

cnf(c_0_144,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_145,hypothesis,
    aScalar0(xS),
    i_0_87 ).

cnf(c_0_146,hypothesis,
    aScalar0(xR),
    i_0_83 ).

cnf(c_0_147,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_36 ).

cnf(c_0_148,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_130,c_0_131]),c_0_132]),c_0_133])]),c_0_134]),c_0_135])]) ).

cnf(c_0_149,plain,
    aScalar0(sz0z00),
    i_0_11 ).

cnf(c_0_150,hypothesis,
    sdtasdt0(xC,xG) = xR,
    i_0_82 ).

cnf(c_0_151,hypothesis,
    aScalar0(xG),
    i_0_79 ).

cnf(c_0_152,hypothesis,
    aScalar0(xC),
    i_0_71 ).

cnf(c_0_153,hypothesis,
    sdtlseqdt0(sz0z00,xG),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_136]),c_0_137])]) ).

cnf(c_0_154,hypothesis,
    sdtlseqdt0(sz0z00,xC),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_138]),c_0_139])]) ).

cnf(c_0_155,negated_conjecture,
    ( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sz0z00,xP) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142])]) ).

cnf(c_0_156,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_143,c_0_144]),c_0_145]),c_0_146]),c_0_142])]) ).

cnf(c_0_157,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_147,c_0_148]),c_0_149]),c_0_145])]) ).

cnf(c_0_158,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_130,c_0_150]),c_0_151]),c_0_152])]),c_0_153]),c_0_154])]) ).

cnf(c_0_159,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_155,c_0_141]),c_0_145]),c_0_146])]) ).

cnf(c_0_160,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2) ),
    i_0_39 ).

cnf(c_0_161,hypothesis,
    ( ~ sdtlseqdt0(xP,xR)
    | ~ sdtlseqdt0(xP,sz0z00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_142])]) ).

cnf(c_0_162,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_147,c_0_158]),c_0_149]),c_0_146])]) ).

cnf(c_0_163,plain,
    ( ~ sdtlseqdt0(sz0z00,xP)
    | ~ sdtlseqdt0(sz0z00,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_158])]) ).

cnf(c_0_164,hypothesis,
    ( sdtlseqdt0(xP,X1)
    | sdtlseqdt0(X1,xP)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_160,c_0_142]) ).

cnf(c_0_165,plain,
    ~ sdtlseqdt0(xP,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_142])]) ).

cnf(c_0_166,plain,
    ~ sdtlseqdt0(sz0z00,xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_148])]) ).

cnf(c_0_167,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_149]),c_0_165]),c_0_166]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : RNG071+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n017.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 : Mon May 30 04:11:41 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 7.68/2.32  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.68/2.32  # No SInE strategy applied
% 7.68/2.32  # Trying AutoSched0 for 150 seconds
% 7.68/2.32  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.68/2.32  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.68/2.32  #
% 7.68/2.32  # Preprocessing time       : 0.015 s
% 7.68/2.32  
% 7.68/2.32  # Proof found!
% 7.68/2.32  # SZS status Theorem
% 7.68/2.32  # SZS output start CNFRefutation
% See solution above
% 7.68/2.32  # Training examples: 0 positive, 0 negative
% 7.68/2.32  
% 7.68/2.32  # -------------------------------------------------
% 7.68/2.32  # User time                : 0.022 s
% 7.68/2.32  # System time              : 0.006 s
% 7.68/2.32  # Total time               : 0.028 s
% 7.68/2.32  # Maximum resident set size: 7120 pages
% 7.68/2.32  
%------------------------------------------------------------------------------