TSTP Solution File: RNG047+2 by Enigma---0.5.1

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG047+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 20:24:47 EDT 2022

% Result   : Theorem 7.68s 2.37s
% Output   : CNFRefutation 7.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   21 (  15 unt;   0 nHn;  21 RR)
%            Number of literals    :   34 (  17 equ;  16 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    ( X1 = X2
    | szszuzczcdt0(X1) != szszuzczcdt0(X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d10p9lld/input.p',i_0_7) ).

cnf(i_0_61,negated_conjecture,
    szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d10p9lld/input.p',i_0_61) ).

cnf(i_0_45,plain,
    ( aNaturalNumber0(aDimensionOf0(X1))
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d10p9lld/input.p',i_0_45) ).

cnf(i_0_62,negated_conjecture,
    aVector0(sziznziztdt0(xs)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d10p9lld/input.p',i_0_62) ).

cnf(i_0_58,negated_conjecture,
    szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d10p9lld/input.p',i_0_58) ).

cnf(i_0_55,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d10p9lld/input.p',i_0_55) ).

cnf(i_0_56,negated_conjecture,
    aDimensionOf0(sziznziztdt0(xt)) != aDimensionOf0(sziznziztdt0(xs)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d10p9lld/input.p',i_0_56) ).

cnf(i_0_59,negated_conjecture,
    aVector0(sziznziztdt0(xt)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d10p9lld/input.p',i_0_59) ).

cnf(c_0_71,plain,
    ( X1 = X2
    | szszuzczcdt0(X1) != szszuzczcdt0(X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_7 ).

cnf(c_0_72,negated_conjecture,
    szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs),
    i_0_61 ).

cnf(c_0_73,negated_conjecture,
    ( X1 = aDimensionOf0(sziznziztdt0(xs))
    | szszuzczcdt0(X1) != aDimensionOf0(xs)
    | ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_74,plain,
    ( aNaturalNumber0(aDimensionOf0(X1))
    | ~ aVector0(X1) ),
    i_0_45 ).

cnf(c_0_75,negated_conjecture,
    aVector0(sziznziztdt0(xs)),
    i_0_62 ).

cnf(c_0_76,negated_conjecture,
    szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt),
    i_0_58 ).

cnf(c_0_77,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    i_0_55 ).

cnf(c_0_78,plain,
    ( X1 = aDimensionOf0(sziznziztdt0(xs))
    | szszuzczcdt0(X1) != aDimensionOf0(xs)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).

cnf(c_0_79,negated_conjecture,
    szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xs),
    inference(rw,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_80,negated_conjecture,
    aDimensionOf0(sziznziztdt0(xt)) != aDimensionOf0(sziznziztdt0(xs)),
    i_0_56 ).

cnf(c_0_81,negated_conjecture,
    ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).

cnf(c_0_82,negated_conjecture,
    aVector0(sziznziztdt0(xt)),
    i_0_59 ).

cnf(c_0_83,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_74]),c_0_82])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG047+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n018.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 18:57:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected complete mode:
% 7.68/2.37  # ENIGMATIC: Solved by autoschedule:
% 7.68/2.37  # No SInE strategy applied
% 7.68/2.37  # Trying AutoSched0 for 150 seconds
% 7.68/2.37  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.68/2.37  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.68/2.37  #
% 7.68/2.37  # Preprocessing time       : 0.013 s
% 7.68/2.37  
% 7.68/2.37  # Proof found!
% 7.68/2.37  # SZS status Theorem
% 7.68/2.37  # SZS output start CNFRefutation
% See solution above
% 7.68/2.37  # Training examples: 0 positive, 0 negative
% 7.68/2.37  
% 7.68/2.37  # -------------------------------------------------
% 7.68/2.37  # User time                : 0.017 s
% 7.68/2.37  # System time              : 0.004 s
% 7.68/2.37  # Total time               : 0.021 s
% 7.68/2.37  # Maximum resident set size: 7116 pages
% 7.68/2.37  
%------------------------------------------------------------------------------