TSTP Solution File: NUM501+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM501+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 08:36:42 EDT 2022

% Result   : Theorem 8.69s 2.37s
% Output   : CNFRefutation 8.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   26 (  14 unt;   0 nHn;  26 RR)
%            Number of literals    :   60 (   6 equ;  37 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_50,plain,
    ( doDivides0(X1,X2)
    | X2 != sdtasdt0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7q7mjq04/lgb.p',i_0_50) ).

cnf(i_0_6,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7q7mjq04/lgb.p',i_0_6) ).

cnf(i_0_56,plain,
    ( doDivides0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X3,X2)
    | ~ doDivides0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7q7mjq04/lgb.p',i_0_56) ).

cnf(i_0_232,hypothesis,
    doDivides0(xr,xk),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7q7mjq04/lgb.p',i_0_232) ).

cnf(i_0_222,hypothesis,
    aNaturalNumber0(xk),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7q7mjq04/lgb.p',i_0_222) ).

cnf(i_0_235,hypothesis,
    aNaturalNumber0(xr),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7q7mjq04/lgb.p',i_0_235) ).

cnf(i_0_236,negated_conjecture,
    ~ doDivides0(xr,sdtasdt0(xn,xm)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7q7mjq04/lgb.p',i_0_236) ).

cnf(i_0_221,hypothesis,
    sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7q7mjq04/lgb.p',i_0_221) ).

cnf(i_0_11,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7q7mjq04/lgb.p',i_0_11) ).

cnf(i_0_71,hypothesis,
    aNaturalNumber0(xp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7q7mjq04/lgb.p',i_0_71) ).

cnf(c_0_247,plain,
    ( doDivides0(X1,X2)
    | X2 != sdtasdt0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    i_0_50 ).

cnf(c_0_248,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_6 ).

cnf(c_0_249,plain,
    ( doDivides0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X3,X2)
    | ~ doDivides0(X1,X3) ),
    i_0_56 ).

cnf(c_0_250,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_247]),c_0_248]) ).

cnf(c_0_251,plain,
    ( doDivides0(X1,sdtasdt0(X2,X3))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ doDivides0(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_248]) ).

cnf(c_0_252,hypothesis,
    doDivides0(xr,xk),
    i_0_232 ).

cnf(c_0_253,hypothesis,
    aNaturalNumber0(xk),
    i_0_222 ).

cnf(c_0_254,hypothesis,
    aNaturalNumber0(xr),
    i_0_235 ).

cnf(c_0_255,negated_conjecture,
    ~ doDivides0(xr,sdtasdt0(xn,xm)),
    i_0_236 ).

cnf(c_0_256,hypothesis,
    sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
    i_0_221 ).

cnf(c_0_257,hypothesis,
    ( doDivides0(xr,sdtasdt0(xk,X1))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]),c_0_254])]) ).

cnf(c_0_258,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_11 ).

cnf(c_0_259,negated_conjecture,
    ~ doDivides0(xr,sdtasdt0(xp,xk)),
    inference(rw,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_260,plain,
    ( doDivides0(xr,sdtasdt0(X1,xk))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_253])]) ).

cnf(c_0_261,hypothesis,
    aNaturalNumber0(xp),
    i_0_71 ).

cnf(c_0_262,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_261])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM501+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n007.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 : Fri Jul  8 00:25:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 8.69/2.37  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.69/2.37  # No SInE strategy applied
% 8.69/2.37  # Trying AutoSched0 for 150 seconds
% 8.69/2.37  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.69/2.37  # and selection function SelectNewComplexAHP.
% 8.69/2.37  #
% 8.69/2.37  # Preprocessing time       : 0.023 s
% 8.69/2.37  # Presaturation interreduction done
% 8.69/2.37  
% 8.69/2.37  # Proof found!
% 8.69/2.37  # SZS status Theorem
% 8.69/2.37  # SZS output start CNFRefutation
% See solution above
% 8.69/2.37  # Training examples: 0 positive, 0 negative
% 8.69/2.37  
% 8.69/2.37  # -------------------------------------------------
% 8.69/2.37  # User time                : 0.060 s
% 8.69/2.37  # System time              : 0.006 s
% 8.69/2.37  # Total time               : 0.066 s
% 8.69/2.37  # Maximum resident set size: 7132 pages
% 8.69/2.37  
%------------------------------------------------------------------------------