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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW293+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 00:01:55 EDT 2022

% Result   : Theorem 9.97s 3.67s
% Output   : CNFRefutation 9.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (  14 unt;   2 nHn;  15 RR)
%            Number of literals    :   22 (  10 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :   16 (  16 usr;  10 con; 0-4 aty)
%            Number of variables   :   28 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2781,plain,
    hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wnebi7k1/lgb.p',i_0_2781) ).

cnf(i_0_2243,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wnebi7k1/lgb.p',i_0_2243) ).

cnf(i_0_3099,plain,
    hAPP(c_Nat_OSuc,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wnebi7k1/lgb.p',i_0_3099) ).

cnf(i_0_894,plain,
    ( hAPP(c_Nat_OSuc,esk84_4(X1,X2,X3,X4)) = X2
    | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X4),X3,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wnebi7k1/lgb.p',i_0_894) ).

cnf(i_0_20,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wnebi7k1/lgb.p',i_0_20) ).

cnf(i_0_2824,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5))
    | c_Natural_Oevaln(X4,esk229_4(X5,X4,X3,X2),X2,esk230_4(X5,X4,X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wnebi7k1/lgb.p',i_0_2824) ).

cnf(c_0_3106,plain,
    hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    i_0_2781 ).

cnf(c_0_3107,plain,
    c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls,
    i_0_2243 ).

cnf(c_0_3108,plain,
    hAPP(c_Nat_OSuc,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    i_0_3099 ).

cnf(c_0_3109,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
    inference(rw,[status(thm)],[c_0_3106,c_0_3107]) ).

cnf(c_0_3110,plain,
    hAPP(c_Nat_OSuc,X1) != hAPP(c_Int_Onat,c_Int_OPls),
    inference(rw,[status(thm)],[c_0_3108,c_0_3109]) ).

cnf(c_0_3111,plain,
    ( hAPP(c_Nat_OSuc,esk84_4(X1,X2,X3,X4)) = X2
    | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X4),X3,X2,X1) ),
    i_0_894 ).

cnf(c_0_3112,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),
    i_0_20 ).

cnf(c_0_3113,plain,
    ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,hAPP(c_Int_Onat,c_Int_OPls),X3),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_3110,c_0_3111])]) ).

cnf(c_0_3114,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5))
    | c_Natural_Oevaln(X4,esk229_4(X5,X4,X3,X2),X2,esk230_4(X5,X4,X3,X2)) ),
    i_0_2824 ).

cnf(c_0_3115,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Int_Onat,c_Int_OPls),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),
    inference(rw,[status(thm)],[c_0_3112,c_0_3109]) ).

cnf(c_0_3116,plain,
    c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(c_Int_Onat,c_Int_OPls),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4)),
    inference(spm,[status(thm)],[c_0_3113,c_0_3114]) ).

cnf(c_0_3117,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3115,c_0_3116])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW293+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 : n022.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 : Sat Jun  4 09:08:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.49  # ENIGMATIC: Selected SinE mode:
% 0.48/0.71  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.71  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.48/0.71  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.48/0.71  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.97/3.67  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.97/3.67  # No SInE strategy applied
% 9.97/3.67  # Trying AutoSched0 for 150 seconds
% 9.97/3.67  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.97/3.67  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.97/3.67  #
% 9.97/3.67  # Preprocessing time       : 0.024 s
% 9.97/3.67  # Presaturation interreduction done
% 9.97/3.67  
% 9.97/3.67  # Proof found!
% 9.97/3.67  # SZS status Theorem
% 9.97/3.67  # SZS output start CNFRefutation
% See solution above
% 9.97/3.68  # Training examples: 0 positive, 0 negative
% 9.97/3.68  
% 9.97/3.68  # -------------------------------------------------
% 9.97/3.68  # User time                : 0.033 s
% 9.97/3.68  # System time              : 0.005 s
% 9.97/3.68  # Total time               : 0.038 s
% 9.97/3.68  # Maximum resident set size: 9552 pages
% 9.97/3.68  
%------------------------------------------------------------------------------