TSTP Solution File: NUM469+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM469+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 08:36:20 EDT 2022

% Result   : Theorem 7.32s 2.23s
% Output   : CNFRefutation 7.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   32 (  17 unt;   6 nHn;  32 RR)
%            Number of literals    :   49 (  20 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_72,negated_conjecture,
    ( sdtpldt0(xm,xn) != sdtasdt0(xl,X1)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6gxgp28/input.p',i_0_72) ).

cnf(i_0_66,hypothesis,
    ( sz00 = xl
    | sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(xm,xn) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6gxgp28/input.p',i_0_66) ).

cnf(i_0_5,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6gxgp28/input.p',i_0_5) ).

cnf(i_0_70,hypothesis,
    ( sz00 = xl
    | aNaturalNumber0(sdtsldt0(xm,xl)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6gxgp28/input.p',i_0_70) ).

cnf(i_0_68,hypothesis,
    ( sz00 = xl
    | aNaturalNumber0(sdtsldt0(xn,xl)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6gxgp28/input.p',i_0_68) ).

cnf(i_0_61,hypothesis,
    sdtasdt0(xl,esk4_0) = xn,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6gxgp28/input.p',i_0_61) ).

cnf(i_0_71,negated_conjecture,
    ~ doDivides0(xl,sdtpldt0(xm,xn)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6gxgp28/input.p',i_0_71) ).

cnf(i_0_15,plain,
    ( sdtasdt0(sz00,X1) = sz00
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6gxgp28/input.p',i_0_15) ).

cnf(i_0_62,hypothesis,
    aNaturalNumber0(esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6gxgp28/input.p',i_0_62) ).

cnf(i_0_63,hypothesis,
    doDivides0(xl,xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6gxgp28/input.p',i_0_63) ).

cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6gxgp28/input.p',i_0_10) ).

cnf(i_0_58,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t6gxgp28/input.p',i_0_58) ).

cnf(c_0_85,negated_conjecture,
    ( sdtpldt0(xm,xn) != sdtasdt0(xl,X1)
    | ~ aNaturalNumber0(X1) ),
    i_0_72 ).

cnf(c_0_86,hypothesis,
    ( sz00 = xl
    | sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(xm,xn) ),
    i_0_66 ).

cnf(c_0_87,negated_conjecture,
    ( xl = sz00
    | ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_88,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_5 ).

cnf(c_0_89,hypothesis,
    ( sz00 = xl
    | aNaturalNumber0(sdtsldt0(xm,xl)) ),
    i_0_70 ).

cnf(c_0_90,hypothesis,
    ( sz00 = xl
    | aNaturalNumber0(sdtsldt0(xn,xl)) ),
    i_0_68 ).

cnf(c_0_91,hypothesis,
    sdtasdt0(xl,esk4_0) = xn,
    i_0_61 ).

cnf(c_0_92,plain,
    xl = sz00,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_90]) ).

cnf(c_0_93,negated_conjecture,
    ~ doDivides0(xl,sdtpldt0(xm,xn)),
    i_0_71 ).

cnf(c_0_94,plain,
    ( sdtasdt0(sz00,X1) = sz00
    | ~ aNaturalNumber0(X1) ),
    i_0_15 ).

cnf(c_0_95,hypothesis,
    sdtasdt0(sz00,esk4_0) = xn,
    inference(rw,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_96,hypothesis,
    aNaturalNumber0(esk4_0),
    i_0_62 ).

cnf(c_0_97,negated_conjecture,
    ~ doDivides0(sz00,sdtpldt0(xm,xn)),
    inference(rw,[status(thm)],[c_0_93,c_0_92]) ).

cnf(c_0_98,plain,
    xn = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96])]) ).

cnf(c_0_99,hypothesis,
    doDivides0(xl,xm),
    i_0_63 ).

cnf(c_0_100,negated_conjecture,
    ~ doDivides0(sz00,sdtpldt0(xm,sz00)),
    inference(rw,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_101,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    i_0_10 ).

cnf(c_0_102,hypothesis,
    doDivides0(sz00,xm),
    inference(rw,[status(thm)],[c_0_99,c_0_92]) ).

cnf(c_0_103,hypothesis,
    aNaturalNumber0(xm),
    i_0_58 ).

cnf(c_0_104,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM469+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n016.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Tue Jul  5 04:41:49 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected complete mode:
% 7.32/2.23  # ENIGMATIC: Solved by autoschedule:
% 7.32/2.23  # No SInE strategy applied
% 7.32/2.23  # Trying AutoSched0 for 150 seconds
% 7.32/2.23  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04AN
% 7.32/2.23  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.32/2.23  #
% 7.32/2.23  # Preprocessing time       : 0.024 s
% 7.32/2.23  # Presaturation interreduction done
% 7.32/2.23  
% 7.32/2.23  # Proof found!
% 7.32/2.23  # SZS status Theorem
% 7.32/2.23  # SZS output start CNFRefutation
% See solution above
% 7.32/2.23  # Training examples: 0 positive, 0 negative
% 7.32/2.23  
% 7.32/2.23  # -------------------------------------------------
% 7.32/2.23  # User time                : 0.029 s
% 7.32/2.23  # System time              : 0.010 s
% 7.32/2.23  # Total time               : 0.039 s
% 7.32/2.23  # Maximum resident set size: 7120 pages
% 7.32/2.23  
%------------------------------------------------------------------------------