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Enigma---0.5.1.THM-CRf.s

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

% Computer : n032.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 7.35s 2.21s
% Output   : CNFRefutation 7.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   28 (  17 unt;   6 nHn;  28 RR)
%            Number of literals    :   54 (  27 equ;  24 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    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_51,plain,
    ( aDimensionOf0(X1) = sz00
    | aVector0(X2)
    | X2 != sziznziztdt0(X1)
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upbno4jh/input.p',i_0_51) ).

cnf(i_0_50,plain,
    ( aDimensionOf0(X1) = sz00
    | szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
    | X2 != sziznziztdt0(X1)
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upbno4jh/input.p',i_0_50) ).

cnf(i_0_52,hypothesis,
    aVector0(xt),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upbno4jh/input.p',i_0_52) ).

cnf(i_0_54,hypothesis,
    aDimensionOf0(xt) != sz00,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upbno4jh/input.p',i_0_54) ).

cnf(i_0_45,plain,
    ( aNaturalNumber0(aDimensionOf0(X1))
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upbno4jh/input.p',i_0_45) ).

cnf(i_0_53,hypothesis,
    aVector0(xs),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upbno4jh/input.p',i_0_53) ).

cnf(i_0_55,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upbno4jh/input.p',i_0_55) ).

cnf(i_0_7,plain,
    ( X1 = X2
    | szszuzczcdt0(X1) != szszuzczcdt0(X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upbno4jh/input.p',i_0_7) ).

cnf(i_0_56,negated_conjecture,
    aDimensionOf0(sziznziztdt0(xt)) != aDimensionOf0(sziznziztdt0(xs)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-upbno4jh/input.p',i_0_56) ).

cnf(c_0_66,plain,
    ( aDimensionOf0(X1) = sz00
    | aVector0(X2)
    | X2 != sziznziztdt0(X1)
    | ~ aVector0(X1) ),
    i_0_51 ).

cnf(c_0_67,plain,
    ( aDimensionOf0(X1) = sz00
    | szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
    | X2 != sziznziztdt0(X1)
    | ~ aVector0(X1) ),
    i_0_50 ).

cnf(c_0_68,plain,
    ( aDimensionOf0(X1) = sz00
    | aVector0(sziznziztdt0(X1))
    | ~ aVector0(X1) ),
    inference(er,[status(thm)],[c_0_66]) ).

cnf(c_0_69,hypothesis,
    aVector0(xt),
    i_0_52 ).

cnf(c_0_70,hypothesis,
    aDimensionOf0(xt) != sz00,
    i_0_54 ).

cnf(c_0_71,plain,
    ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1)
    | aDimensionOf0(X1) = sz00
    | ~ aVector0(X1) ),
    inference(er,[status(thm)],[c_0_67]) ).

cnf(c_0_72,plain,
    ( aNaturalNumber0(aDimensionOf0(X1))
    | ~ aVector0(X1) ),
    i_0_45 ).

cnf(c_0_73,hypothesis,
    aVector0(sziznziztdt0(xt)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_74,hypothesis,
    aVector0(xs),
    i_0_53 ).

cnf(c_0_75,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    i_0_55 ).

cnf(c_0_76,plain,
    ( X1 = X2
    | szszuzczcdt0(X1) != szszuzczcdt0(X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_7 ).

cnf(c_0_77,hypothesis,
    szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_69]),c_0_70]) ).

cnf(c_0_78,plain,
    aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_79,hypothesis,
    aVector0(sziznziztdt0(xs)),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_74]),c_0_75]),c_0_70]) ).

cnf(c_0_80,plain,
    ( aDimensionOf0(sziznziztdt0(xt)) = X1
    | szszuzczcdt0(X1) != aDimensionOf0(xt)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]) ).

cnf(c_0_81,hypothesis,
    szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xt),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_74]),c_0_75]),c_0_75]),c_0_70]) ).

cnf(c_0_82,plain,
    aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))),
    inference(spm,[status(thm)],[c_0_72,c_0_79]) ).

cnf(c_0_83,negated_conjecture,
    aDimensionOf0(sziznziztdt0(xt)) != aDimensionOf0(sziznziztdt0(xs)),
    i_0_56 ).

cnf(c_0_84,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]),c_0_83]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : RNG047+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09  % Command  : enigmatic-eprover.py %s %d 1
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 600
% 0.07/0.27  % DateTime : Mon May 30 21:02:29 EDT 2022
% 0.07/0.27  % CPUTime  : 
% 0.12/0.35  # ENIGMATIC: Selected complete mode:
% 7.35/2.21  # ENIGMATIC: Solved by autoschedule:
% 7.35/2.21  # No SInE strategy applied
% 7.35/2.21  # Trying AutoSched0 for 150 seconds
% 7.35/2.21  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S2i
% 7.35/2.21  # and selection function SelectGrCQArEqFirst.
% 7.35/2.21  #
% 7.35/2.21  # Preprocessing time       : 0.016 s
% 7.35/2.21  # Presaturation interreduction done
% 7.35/2.21  
% 7.35/2.21  # Proof found!
% 7.35/2.21  # SZS status Theorem
% 7.35/2.21  # SZS output start CNFRefutation
% See solution above
% 7.35/2.21  # Training examples: 0 positive, 0 negative
% 7.35/2.21  
% 7.35/2.21  # -------------------------------------------------
% 7.35/2.21  # User time                : 0.020 s
% 7.35/2.21  # System time              : 0.005 s
% 7.35/2.21  # Total time               : 0.026 s
% 7.35/2.21  # Maximum resident set size: 7116 pages
% 7.35/2.21  
%------------------------------------------------------------------------------