TSTP Solution File: SWW348+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW348+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 : Thu Jul 21 00:02:03 EDT 2022

% Result   : Theorem 9.45s 3.50s
% Output   : CNFRefutation 9.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   19 (   7 unt;   6 nHn;  13 RR)
%            Number of literals    :   36 (  22 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   20 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_264,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X2))
    | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rnvzbdre/lgb.p',i_0_264) ).

cnf(i_0_24,negated_conjecture,
    ( X1 = esk2_0
    | hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),esk3_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rnvzbdre/lgb.p',i_0_24) ).

cnf(i_0_23,negated_conjecture,
    ( X1 = esk2_0
    | esk3_1(X1) != X1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rnvzbdre/lgb.p',i_0_23) ).

cnf(i_0_2417,plain,
    ( esk213_0 != esk214_0
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rnvzbdre/lgb.p',i_0_2417) ).

cnf(i_0_21,hypothesis,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rnvzbdre/lgb.p',i_0_21) ).

cnf(i_0_22,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),esk2_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rnvzbdre/lgb.p',i_0_22) ).

cnf(c_0_2424,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X2))
    | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X1)) ),
    i_0_264 ).

cnf(c_0_2425,negated_conjecture,
    ( X1 = esk2_0
    | hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),esk3_1(X1))) ),
    i_0_24 ).

cnf(c_0_2426,negated_conjecture,
    ( X1 = esk3_1(X2)
    | X2 = esk2_0
    | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),X1)) ),
    inference(spm,[status(thm)],[c_0_2424,c_0_2425]) ).

cnf(c_0_2427,negated_conjecture,
    ( X1 = esk2_0
    | esk3_1(X1) != X1 ),
    i_0_23 ).

cnf(c_0_2428,negated_conjecture,
    ( esk3_1(X1) = esk3_1(X2)
    | X1 = esk2_0
    | X2 = esk2_0 ),
    inference(spm,[status(thm)],[c_0_2426,c_0_2425]) ).

cnf(c_0_2429,negated_conjecture,
    ( X1 = esk2_0
    | X2 = esk2_0
    | esk3_1(X1) != X2 ),
    inference(spm,[status(thm)],[c_0_2427,c_0_2428]) ).

cnf(c_0_2430,plain,
    ( esk213_0 != esk214_0
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    i_0_2417 ).

cnf(c_0_2431,hypothesis,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    i_0_21 ).

cnf(c_0_2432,negated_conjecture,
    ( esk3_1(X1) = esk2_0
    | X1 = esk2_0 ),
    inference(er,[status(thm)],[c_0_2429]) ).

cnf(c_0_2433,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),esk2_0)),
    i_0_22 ).

cnf(c_0_2434,plain,
    esk213_0 != esk214_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2430,c_0_2431])]) ).

cnf(c_0_2435,negated_conjecture,
    X1 = esk2_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2425,c_0_2432]),c_0_2433]) ).

cnf(c_0_2436,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2434,c_0_2435]),c_0_2435])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW348+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n028.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
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun  5 23:24:59 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.47  # ENIGMATIC: Selected SinE mode:
% 0.49/0.73  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.73  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.49/0.73  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.49/0.73  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.45/3.50  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.45/3.50  # No SInE strategy applied
% 9.45/3.50  # Trying AutoSched0 for 150 seconds
% 9.45/3.50  # AutoSched0-Mode selected heuristic G_E___208_B07_F1_AE_CS_SP_PS_S5PRR_S0Y
% 9.45/3.50  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.45/3.50  #
% 9.45/3.50  # Preprocessing time       : 0.026 s
% 9.45/3.50  # Presaturation interreduction done
% 9.45/3.50  
% 9.45/3.50  # Proof found!
% 9.45/3.50  # SZS status Theorem
% 9.45/3.50  # SZS output start CNFRefutation
% See solution above
% 9.45/3.50  # Training examples: 0 positive, 0 negative
% 9.45/3.50  
% 9.45/3.50  # -------------------------------------------------
% 9.45/3.50  # User time                : 0.046 s
% 9.45/3.50  # System time              : 0.002 s
% 9.45/3.50  # Total time               : 0.048 s
% 9.45/3.50  # Maximum resident set size: 9488 pages
% 9.45/3.50  
%------------------------------------------------------------------------------