TSTP Solution File: SWW334+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW334+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 00:02:01 EDT 2022

% Result   : Theorem 9.86s 3.59s
% Output   : CNFRefutation 9.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  15 unt;   0 nHn;  14 RR)
%            Number of literals    :   29 (   8 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  10 con; 0-3 aty)
%            Number of variables   :   44 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_274,plain,
    hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)) = X2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nvq1_ubn/lgb.p',i_0_274) ).

cnf(i_0_269,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nvq1_ubn/lgb.p',i_0_269) ).

cnf(i_0_3360,plain,
    hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nvq1_ubn/lgb.p',i_0_3360) ).

cnf(i_0_8,hypothesis,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1)))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nvq1_ubn/lgb.p',i_0_8) ).

cnf(i_0_1703,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nvq1_ubn/lgb.p',i_0_1703) ).

cnf(i_0_5,hypothesis,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nvq1_ubn/lgb.p',i_0_5) ).

cnf(i_0_156,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(c_Nat_OSuc,X2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nvq1_ubn/lgb.p',i_0_156) ).

cnf(i_0_9,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nvq1_ubn/lgb.p',i_0_9) ).

cnf(c_0_3369,plain,
    hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)) = X2,
    i_0_274 ).

cnf(c_0_3370,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    i_0_269 ).

cnf(c_0_3371,plain,
    hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
    i_0_3360 ).

cnf(c_0_3372,plain,
    hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2) = X2,
    inference(rw,[status(thm)],[c_0_3369,c_0_3370]) ).

cnf(c_0_3373,hypothesis,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1)))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs)) ),
    i_0_8 ).

cnf(c_0_3374,plain,
    hAPP(hAPP(c_member(X1),X2),X3) = hAPP(X3,X2),
    inference(spm,[status(thm)],[c_0_3371,c_0_3372]) ).

cnf(c_0_3375,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
    i_0_1703 ).

cnf(c_0_3376,hypothesis,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs)),
    i_0_5 ).

cnf(c_0_3377,hypothesis,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1)))
    | ~ hBOOL(hAPP(v_Procs,X1)) ),
    inference(rw,[status(thm)],[c_0_3373,c_0_3374]) ).

cnf(c_0_3378,plain,
    hBOOL(hAPP(v_Procs,v_x)),
    inference(spm,[status(thm)],[c_0_3375,c_0_3376]) ).

cnf(c_0_3379,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(c_Nat_OSuc,X2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5)) ),
    i_0_156 ).

cnf(c_0_3380,plain,
    c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_x))),v_Q(v_x))),
    inference(spm,[status(thm)],[c_0_3377,c_0_3378]) ).

cnf(c_0_3381,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
    i_0_9 ).

cnf(c_0_3382,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3379,c_0_3380]),c_0_3381]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWW334+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n024.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 : Mon Jun  6 07:22:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.49  # 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
% 9.86/3.59  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.86/3.59  # No SInE strategy applied
% 9.86/3.59  # Trying AutoSched0 for 150 seconds
% 9.86/3.59  # AutoSched0-Mode selected heuristic G_E___208_C12_02_nc_F1_SE_CS_SP_PS_S002A
% 9.86/3.59  # and selection function SelectNegativeLiterals.
% 9.86/3.59  #
% 9.86/3.59  # Preprocessing time       : 0.023 s
% 9.86/3.59  # Presaturation interreduction done
% 9.86/3.59  
% 9.86/3.59  # Proof found!
% 9.86/3.59  # SZS status Theorem
% 9.86/3.59  # SZS output start CNFRefutation
% See solution above
% 9.86/3.59  # Training examples: 0 positive, 0 negative
% 9.86/3.59  
% 9.86/3.59  # -------------------------------------------------
% 9.86/3.59  # User time                : 0.028 s
% 9.86/3.59  # System time              : 0.008 s
% 9.86/3.59  # Total time               : 0.036 s
% 9.86/3.59  # Maximum resident set size: 9564 pages
% 9.86/3.59  
%------------------------------------------------------------------------------