TSTP Solution File: NUM467+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM467+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 08:36:19 EDT 2022

% Result   : Theorem 12.00s 2.90s
% Output   : CNFRefutation 12.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   25 (  15 unt;   0 nHn;  25 RR)
%            Number of literals    :   50 (  10 equ;  28 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_18,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cp7grfe0/input.p',i_0_18) ).

cnf(i_0_61,hypothesis,
    sdtasdt0(xl,esk4_0) = xn,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cp7grfe0/input.p',i_0_61) ).

cnf(i_0_62,hypothesis,
    aNaturalNumber0(esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cp7grfe0/input.p',i_0_62) ).

cnf(i_0_59,hypothesis,
    aNaturalNumber0(xl),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cp7grfe0/input.p',i_0_59) ).

cnf(i_0_50,plain,
    ( doDivides0(X1,X2)
    | X2 != sdtasdt0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cp7grfe0/input.p',i_0_50) ).

cnf(i_0_6,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cp7grfe0/input.p',i_0_6) ).

cnf(i_0_64,hypothesis,
    sdtasdt0(xl,esk3_0) = xm,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cp7grfe0/input.p',i_0_64) ).

cnf(i_0_65,hypothesis,
    aNaturalNumber0(esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cp7grfe0/input.p',i_0_65) ).

cnf(i_0_66,negated_conjecture,
    ~ doDivides0(xl,sdtpldt0(xm,xn)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cp7grfe0/input.p',i_0_66) ).

cnf(i_0_5,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cp7grfe0/input.p',i_0_5) ).

cnf(c_0_77,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_18 ).

cnf(c_0_78,hypothesis,
    sdtasdt0(xl,esk4_0) = xn,
    i_0_61 ).

cnf(c_0_79,hypothesis,
    aNaturalNumber0(esk4_0),
    i_0_62 ).

cnf(c_0_80,hypothesis,
    aNaturalNumber0(xl),
    i_0_59 ).

cnf(c_0_81,plain,
    ( doDivides0(X1,X2)
    | X2 != sdtasdt0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    i_0_50 ).

cnf(c_0_82,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_6 ).

cnf(c_0_83,hypothesis,
    ( sdtpldt0(sdtasdt0(xl,X1),xn) = sdtasdt0(xl,sdtpldt0(X1,esk4_0))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80])]) ).

cnf(c_0_84,hypothesis,
    sdtasdt0(xl,esk3_0) = xm,
    i_0_64 ).

cnf(c_0_85,hypothesis,
    aNaturalNumber0(esk3_0),
    i_0_65 ).

cnf(c_0_86,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_81]),c_0_82]) ).

cnf(c_0_87,hypothesis,
    sdtasdt0(xl,sdtpldt0(esk3_0,esk4_0)) = sdtpldt0(xm,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).

cnf(c_0_88,negated_conjecture,
    ~ doDivides0(xl,sdtpldt0(xm,xn)),
    i_0_66 ).

cnf(c_0_89,plain,
    ~ aNaturalNumber0(sdtpldt0(esk3_0,esk4_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_80])]),c_0_88]) ).

cnf(c_0_90,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_5 ).

cnf(c_0_91,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_79]),c_0_85])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM467+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jul  7 09:04:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 12.00/2.90  # ENIGMATIC: Solved by autoschedule:
% 12.00/2.90  # No SInE strategy applied
% 12.00/2.90  # Trying AutoSched0 for 150 seconds
% 12.00/2.90  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 12.00/2.90  # and selection function PSelectNewComplexAHP.
% 12.00/2.90  #
% 12.00/2.90  # Preprocessing time       : 0.024 s
% 12.00/2.90  # Presaturation interreduction done
% 12.00/2.90  
% 12.00/2.90  # Proof found!
% 12.00/2.90  # SZS status Theorem
% 12.00/2.90  # SZS output start CNFRefutation
% See solution above
% 12.00/2.90  # Training examples: 0 positive, 0 negative
% 12.00/2.90  
% 12.00/2.90  # -------------------------------------------------
% 12.00/2.90  # User time                : 0.561 s
% 12.00/2.90  # System time              : 0.021 s
% 12.00/2.90  # Total time               : 0.582 s
% 12.00/2.90  # Maximum resident set size: 7120 pages
% 12.00/2.90  
%------------------------------------------------------------------------------