TSTP Solution File: NUM457+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM457+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 08:36:12 EDT 2022

% Result   : Theorem 7.95s 2.40s
% Output   : CNFRefutation 7.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   22 (  13 unt;   2 nHn;  22 RR)
%            Number of literals    :   45 (  22 equ;  25 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_22,plain,
    ( X1 = X2
    | X3 = sz00
    | sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c4ymnfr/input.p',i_0_22) ).

cnf(i_0_25,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c4ymnfr/input.p',i_0_25) ).

cnf(i_0_27,negated_conjecture,
    sz00 != xn,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c4ymnfr/input.p',i_0_27) ).

cnf(i_0_16,plain,
    ( sdtasdt0(X1,sz00) = sz00
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c4ymnfr/input.p',i_0_16) ).

cnf(i_0_2,plain,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c4ymnfr/input.p',i_0_2) ).

cnf(i_0_11,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c4ymnfr/input.p',i_0_11) ).

cnf(i_0_29,negated_conjecture,
    sdtasdt0(xm,xn) = sz00,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c4ymnfr/input.p',i_0_29) ).

cnf(i_0_26,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c4ymnfr/input.p',i_0_26) ).

cnf(i_0_28,negated_conjecture,
    sz00 != xm,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7c4ymnfr/input.p',i_0_28) ).

cnf(c_0_39,plain,
    ( X1 = X2
    | X3 = sz00
    | sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3) ),
    i_0_22 ).

cnf(c_0_40,hypothesis,
    aNaturalNumber0(xn),
    i_0_25 ).

cnf(c_0_41,negated_conjecture,
    sz00 != xn,
    i_0_27 ).

cnf(c_0_42,hypothesis,
    ( X1 = X2
    | sdtasdt0(xn,X1) != sdtasdt0(xn,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_43,plain,
    ( sdtasdt0(X1,sz00) = sz00
    | ~ aNaturalNumber0(X1) ),
    i_0_16 ).

cnf(c_0_44,plain,
    aNaturalNumber0(sz00),
    i_0_2 ).

cnf(c_0_45,plain,
    ( X1 = sz00
    | sdtasdt0(xn,X1) != sz00
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_40])]) ).

cnf(c_0_46,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_11 ).

cnf(c_0_47,plain,
    ( X1 = sz00
    | sdtasdt0(X1,xn) != sz00
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_40])]) ).

cnf(c_0_48,negated_conjecture,
    sdtasdt0(xm,xn) = sz00,
    i_0_29 ).

cnf(c_0_49,hypothesis,
    aNaturalNumber0(xm),
    i_0_26 ).

cnf(c_0_50,negated_conjecture,
    sz00 != xm,
    i_0_28 ).

cnf(c_0_51,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]),c_0_50]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUM457+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jul  6 05:22:46 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.48  # ENIGMATIC: Selected complete mode:
% 7.95/2.40  # ENIGMATIC: Solved by autoschedule:
% 7.95/2.40  # No SInE strategy applied
% 7.95/2.40  # Trying AutoSched0 for 150 seconds
% 7.95/2.40  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04AN
% 7.95/2.40  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.95/2.40  #
% 7.95/2.40  # Preprocessing time       : 0.012 s
% 7.95/2.40  # Presaturation interreduction done
% 7.95/2.40  
% 7.95/2.40  # Proof found!
% 7.95/2.40  # SZS status Theorem
% 7.95/2.40  # SZS output start CNFRefutation
% See solution above
% 7.95/2.40  # Training examples: 0 positive, 0 negative
% 7.95/2.40  
% 7.95/2.40  # -------------------------------------------------
% 7.95/2.40  # User time                : 0.010 s
% 7.95/2.40  # System time              : 0.010 s
% 7.95/2.40  # Total time               : 0.020 s
% 7.95/2.40  # Maximum resident set size: 7124 pages
% 7.95/2.40  
%------------------------------------------------------------------------------