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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG052+2 : 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 20:24:48 EDT 2022

% Result   : Theorem 7.75s 2.51s
% Output   : CNFRefutation 7.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   36 (  22 unt;   0 nHn;  36 RR)
%            Number of literals    :   66 (  27 equ;  36 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_59,hypothesis,
    ( sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2)))
    | aDimensionOf0(X1) != aDimensionOf0(X2)
    | ~ aVector0(X2)
    | ~ aVector0(X1)
    | ~ iLess0(aDimensionOf0(X1),aDimensionOf0(xs)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lojz6fbc/input.p',i_0_59) ).

cnf(i_0_60,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lojz6fbc/input.p',i_0_60) ).

cnf(i_0_64,hypothesis,
    szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lojz6fbc/input.p',i_0_64) ).

cnf(i_0_78,hypothesis,
    sdtasasdt0(xp,xq) = xE,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lojz6fbc/input.p',i_0_78) ).

cnf(i_0_74,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lojz6fbc/input.p',i_0_74) ).

cnf(i_0_76,hypothesis,
    sdtasasdt0(xq,xq) = xD,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lojz6fbc/input.p',i_0_76) ).

cnf(i_0_69,hypothesis,
    aVector0(xq),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lojz6fbc/input.p',i_0_69) ).

cnf(i_0_65,hypothesis,
    aVector0(xp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lojz6fbc/input.p',i_0_65) ).

cnf(i_0_94,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lojz6fbc/input.p',i_0_94) ).

cnf(i_0_9,plain,
    ( iLess0(X1,szszuzczcdt0(X1))
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lojz6fbc/input.p',i_0_9) ).

cnf(i_0_7,plain,
    ( X1 = X2
    | szszuzczcdt0(X1) != szszuzczcdt0(X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lojz6fbc/input.p',i_0_7) ).

cnf(i_0_68,hypothesis,
    szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lojz6fbc/input.p',i_0_68) ).

cnf(i_0_45,plain,
    ( aNaturalNumber0(aDimensionOf0(X1))
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lojz6fbc/input.p',i_0_45) ).

cnf(c_0_108,hypothesis,
    ( sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2)))
    | aDimensionOf0(X1) != aDimensionOf0(X2)
    | ~ aVector0(X2)
    | ~ aVector0(X1)
    | ~ iLess0(aDimensionOf0(X1),aDimensionOf0(xs)) ),
    i_0_59 ).

cnf(c_0_109,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    i_0_60 ).

cnf(c_0_110,hypothesis,
    szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
    i_0_64 ).

cnf(c_0_111,hypothesis,
    ( sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2)))
    | aDimensionOf0(X1) != aDimensionOf0(X2)
    | ~ iLess0(aDimensionOf0(X1),aDimensionOf0(xt))
    | ~ aVector0(X2)
    | ~ aVector0(X1) ),
    inference(rw,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_112,hypothesis,
    sdtasasdt0(xp,xq) = xE,
    i_0_78 ).

cnf(c_0_113,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    i_0_74 ).

cnf(c_0_114,hypothesis,
    sdtasasdt0(xq,xq) = xD,
    i_0_76 ).

cnf(c_0_115,hypothesis,
    aVector0(xq),
    i_0_69 ).

cnf(c_0_116,hypothesis,
    aVector0(xp),
    i_0_65 ).

cnf(c_0_117,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    i_0_94 ).

cnf(c_0_118,plain,
    ( iLess0(X1,szszuzczcdt0(X1))
    | ~ aNaturalNumber0(X1) ),
    i_0_9 ).

cnf(c_0_119,hypothesis,
    szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xt),
    inference(rw,[status(thm)],[c_0_110,c_0_109]) ).

cnf(c_0_120,plain,
    ( X1 = X2
    | szszuzczcdt0(X1) != szszuzczcdt0(X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_7 ).

cnf(c_0_121,hypothesis,
    szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
    i_0_68 ).

cnf(c_0_122,hypothesis,
    ( aDimensionOf0(xq) != aDimensionOf0(xp)
    | ~ iLess0(aDimensionOf0(xp),aDimensionOf0(xt)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_114]),c_0_115]),c_0_116])]),c_0_117]) ).

cnf(c_0_123,hypothesis,
    ( iLess0(aDimensionOf0(xp),aDimensionOf0(xt))
    | ~ aNaturalNumber0(aDimensionOf0(xp)) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_124,hypothesis,
    ( X1 = aDimensionOf0(xq)
    | szszuzczcdt0(X1) != aDimensionOf0(xt)
    | ~ aNaturalNumber0(aDimensionOf0(xq))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_125,plain,
    ( aNaturalNumber0(aDimensionOf0(X1))
    | ~ aVector0(X1) ),
    i_0_45 ).

cnf(c_0_126,hypothesis,
    ( aDimensionOf0(xq) != aDimensionOf0(xp)
    | ~ aNaturalNumber0(aDimensionOf0(xp)) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_127,plain,
    ( X1 = aDimensionOf0(xq)
    | szszuzczcdt0(X1) != aDimensionOf0(xt)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_115])]) ).

cnf(c_0_128,plain,
    aDimensionOf0(xq) != aDimensionOf0(xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_125]),c_0_116])]) ).

cnf(c_0_129,hypothesis,
    ~ aNaturalNumber0(aDimensionOf0(xp)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_119]),c_0_128]) ).

cnf(c_0_130,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_125]),c_0_116])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG052+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon May 30 06:15:12 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected complete mode:
% 7.75/2.51  # ENIGMATIC: Solved by autoschedule:
% 7.75/2.51  # No SInE strategy applied
% 7.75/2.51  # Trying AutoSched0 for 150 seconds
% 7.75/2.51  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.75/2.51  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.75/2.51  #
% 7.75/2.51  # Preprocessing time       : 0.024 s
% 7.75/2.51  
% 7.75/2.51  # Proof found!
% 7.75/2.51  # SZS status Theorem
% 7.75/2.51  # SZS output start CNFRefutation
% See solution above
% 7.75/2.51  # Training examples: 0 positive, 0 negative
% 7.75/2.51  
% 7.75/2.51  # -------------------------------------------------
% 7.75/2.51  # User time                : 0.039 s
% 7.75/2.51  # System time              : 0.005 s
% 7.75/2.51  # Total time               : 0.044 s
% 7.75/2.51  # Maximum resident set size: 7120 pages
% 7.75/2.51  
%------------------------------------------------------------------------------