TSTP Solution File: SWW385+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW385+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 00:02:09 EDT 2022

% Result   : Theorem 9.76s 3.72s
% Output   : CNFRefutation 9.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   26 (  16 unt;   2 nHn;  19 RR)
%            Number of literals    :   40 (  12 equ;  18 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  10 con; 0-3 aty)
%            Number of variables   :   26 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1791,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | ~ c_Com_OWT__bodies
    | ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hhkvojr6/lgb.p',i_0_1791) ).

cnf(i_0_40,hypothesis,
    c_Com_OWT__bodies,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hhkvojr6/lgb.p',i_0_40) ).

cnf(i_0_39,hypothesis,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hhkvojr6/lgb.p',i_0_39) ).

cnf(i_0_2644,plain,
    hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hhkvojr6/lgb.p',i_0_2644) ).

cnf(i_0_298,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hhkvojr6/lgb.p',i_0_298) ).

cnf(i_0_616,plain,
    ( hAPP(X1,X2) != c_Option_Ooption_ONone(X3)
    | ~ hBOOL(hAPP(hAPP(c_member(X4),X2),c_Map_Odom(X4,X3,X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hhkvojr6/lgb.p',i_0_616) ).

cnf(i_0_43,negated_conjecture,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),esk1_0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hhkvojr6/lgb.p',i_0_43) ).

cnf(i_0_3149,plain,
    ( hAPP(c_Com_Obody,X1) = c_Option_Ooption_ONone(tc_Com_Ocom)
    | hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hhkvojr6/lgb.p',i_0_3149) ).

cnf(i_0_42,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,esk1_0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hhkvojr6/lgb.p',i_0_42) ).

cnf(c_0_3159,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | ~ c_Com_OWT__bodies
    | ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
    i_0_1791 ).

cnf(c_0_3160,hypothesis,
    c_Com_OWT__bodies,
    i_0_40 ).

cnf(c_0_3161,hypothesis,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    i_0_39 ).

cnf(c_0_3162,plain,
    hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)),
    i_0_2644 ).

cnf(c_0_3163,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    i_0_298 ).

cnf(c_0_3164,plain,
    ( hAPP(X1,X2) != c_Option_Ooption_ONone(X3)
    | ~ hBOOL(hAPP(hAPP(c_member(X4),X2),c_Map_Odom(X4,X3,X1))) ),
    i_0_616 ).

cnf(c_0_3165,negated_conjecture,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),esk1_0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),
    i_0_43 ).

cnf(c_0_3166,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
    | ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3159,c_0_3160]),c_0_3161])]) ).

cnf(c_0_3167,plain,
    hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_fequal,X2),
    inference(rw,[status(thm)],[c_0_3162,c_0_3163]) ).

cnf(c_0_3168,negated_conjecture,
    c_Option_Ooption_ONone(tc_Com_Ocom) != hAPP(c_Com_Obody,esk1_0),
    inference(spm,[status(thm)],[c_0_3164,c_0_3165]) ).

cnf(c_0_3169,plain,
    ( hAPP(c_Com_Obody,X1) = c_Option_Ooption_ONone(tc_Com_Ocom)
    | hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1))) ),
    i_0_3149 ).

cnf(c_0_3170,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,esk1_0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    i_0_42 ).

cnf(c_0_3171,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,X1)))
    | ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
    inference(rw,[status(thm)],[c_0_3166,c_0_3167]) ).

cnf(c_0_3172,negated_conjecture,
    ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1)))
    | hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,esk1_0) ),
    inference(spm,[status(thm)],[c_0_3168,c_0_3169]) ).

cnf(c_0_3173,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,esk1_0)))),
    inference(rw,[status(thm)],[c_0_3170,c_0_3167]) ).

cnf(c_0_3174,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X1))))
    | hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,esk1_0) ),
    inference(spm,[status(thm)],[c_0_3171,c_0_3172]) ).

cnf(c_0_3175,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_3173,c_0_3174]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWW385+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n018.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 : Sun Jun  5 11:47:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.47  # ENIGMATIC: Selected SinE mode:
% 0.54/0.71  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.71  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.54/0.71  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.54/0.71  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.76/3.72  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.76/3.72  # No SInE strategy applied
% 9.76/3.72  # Trying AutoSched0 for 150 seconds
% 9.76/3.72  # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S04BN
% 9.76/3.72  # and selection function PSelectComplexExceptUniqMaxHorn.
% 9.76/3.72  #
% 9.76/3.72  # Preprocessing time       : 0.023 s
% 9.76/3.72  # Presaturation interreduction done
% 9.76/3.72  
% 9.76/3.72  # Proof found!
% 9.76/3.72  # SZS status Theorem
% 9.76/3.72  # SZS output start CNFRefutation
% See solution above
% 9.76/3.72  # Training examples: 0 positive, 0 negative
% 9.76/3.72  
% 9.76/3.72  # -------------------------------------------------
% 9.76/3.72  # User time                : 0.028 s
% 9.76/3.72  # System time              : 0.007 s
% 9.76/3.72  # Total time               : 0.035 s
% 9.76/3.72  # Maximum resident set size: 9632 pages
% 9.76/3.72  
%------------------------------------------------------------------------------