TSTP Solution File: NUM505+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM505+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 08:36:45 EDT 2022

% Result   : Theorem 7.69s 2.46s
% Output   : CNFRefutation 7.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   18 (  10 unt;   2 nHn;  18 RR)
%            Number of literals    :   30 (   7 equ;  15 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_244,negated_conjecture,
    ( sdtpldt0(xp,X1) != xk
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2wz4utig/lgb.p',i_0_244) ).

cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2wz4utig/lgb.p',i_0_10) ).

cnf(i_0_2,plain,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2wz4utig/lgb.p',i_0_2) ).

cnf(i_0_71,hypothesis,
    aNaturalNumber0(xp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2wz4utig/lgb.p',i_0_71) ).

cnf(i_0_241,negated_conjecture,
    ( xk = xp
    | ~ sdtlseqdt0(xk,xp) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2wz4utig/lgb.p',i_0_241) ).

cnf(i_0_35,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2wz4utig/lgb.p',i_0_35) ).

cnf(i_0_222,hypothesis,
    aNaturalNumber0(xk),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2wz4utig/lgb.p',i_0_222) ).

cnf(i_0_243,negated_conjecture,
    ~ sdtlseqdt0(xp,xk),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2wz4utig/lgb.p',i_0_243) ).

cnf(c_0_253,negated_conjecture,
    ( sdtpldt0(xp,X1) != xk
    | ~ aNaturalNumber0(X1) ),
    i_0_244 ).

cnf(c_0_254,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    i_0_10 ).

cnf(c_0_255,plain,
    aNaturalNumber0(sz00),
    i_0_2 ).

cnf(c_0_256,hypothesis,
    aNaturalNumber0(xp),
    i_0_71 ).

cnf(c_0_257,negated_conjecture,
    ( xk = xp
    | ~ sdtlseqdt0(xk,xp) ),
    i_0_241 ).

cnf(c_0_258,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    i_0_35 ).

cnf(c_0_259,hypothesis,
    aNaturalNumber0(xk),
    i_0_222 ).

cnf(c_0_260,negated_conjecture,
    xk != xp,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255]),c_0_256])]) ).

cnf(c_0_261,negated_conjecture,
    ~ sdtlseqdt0(xp,xk),
    i_0_243 ).

cnf(c_0_262,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_256]),c_0_259])]),c_0_260]),c_0_261]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM505+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n029.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 : Thu Jul  7 13:59:00 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.69/2.46  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.69/2.46  # No SInE strategy applied
% 7.69/2.46  # Trying AutoSched0 for 150 seconds
% 7.69/2.46  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 7.69/2.46  # and selection function PSelectNewComplexAHP.
% 7.69/2.46  #
% 7.69/2.46  # Preprocessing time       : 0.013 s
% 7.69/2.46  # Presaturation interreduction done
% 7.69/2.46  
% 7.69/2.46  # Proof found!
% 7.69/2.46  # SZS status Theorem
% 7.69/2.46  # SZS output start CNFRefutation
% See solution above
% 7.69/2.46  # Training examples: 0 positive, 0 negative
% 7.69/2.46  
% 7.69/2.46  # -------------------------------------------------
% 7.69/2.46  # User time                : 0.014 s
% 7.69/2.46  # System time              : 0.005 s
% 7.69/2.46  # Total time               : 0.020 s
% 7.69/2.46  # Maximum resident set size: 7128 pages
% 7.69/2.46  
%------------------------------------------------------------------------------