TSTP Solution File: SWW386+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW386+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 8.96s 3.48s
% Output   : CNFRefutation 8.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   26 (  17 unt;   2 nHn;  19 RR)
%            Number of literals    :   39 (  17 equ;  19 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    :   18 (  18 usr;  10 con; 0-2 aty)
%            Number of variables   :   23 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2646,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/sandbox/tmp/enigma-theBenchmark.p-y2v7r12k/lgb.p',i_0_2646) ).

cnf(i_0_297,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y2v7r12k/lgb.p',i_0_297) ).

cnf(i_0_2229,plain,
    ( X1 != c_Option_Ooption_ONone(X2)
    | X1 != hAPP(c_Option_Ooption_OSome(X2),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y2v7r12k/lgb.p',i_0_2229) ).

cnf(i_0_40,hypothesis,
    hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) = hAPP(c_Com_Obody,v_pn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y2v7r12k/lgb.p',i_0_40) ).

cnf(i_0_41,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,v_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y2v7r12k/lgb.p',i_0_41) ).

cnf(i_0_1804,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/sandbox/tmp/enigma-theBenchmark.p-y2v7r12k/lgb.p',i_0_1804) ).

cnf(i_0_37,hypothesis,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y2v7r12k/lgb.p',i_0_37) ).

cnf(i_0_38,hypothesis,
    c_Com_OWT__bodies,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y2v7r12k/lgb.p',i_0_38) ).

cnf(i_0_3146,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/sandbox/tmp/enigma-theBenchmark.p-y2v7r12k/lgb.p',i_0_3146) ).

cnf(c_0_3156,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_2646 ).

cnf(c_0_3157,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    i_0_297 ).

cnf(c_0_3158,plain,
    ( X1 != c_Option_Ooption_ONone(X2)
    | X1 != hAPP(c_Option_Ooption_OSome(X2),X3) ),
    i_0_2229 ).

cnf(c_0_3159,hypothesis,
    hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) = hAPP(c_Com_Obody,v_pn),
    i_0_40 ).

cnf(c_0_3160,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,v_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    i_0_41 ).

cnf(c_0_3161,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_3156,c_0_3157]) ).

cnf(c_0_3162,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_1804 ).

cnf(c_0_3163,hypothesis,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    i_0_37 ).

cnf(c_0_3164,hypothesis,
    c_Com_OWT__bodies,
    i_0_38 ).

cnf(c_0_3165,hypothesis,
    ( X1 != hAPP(c_Com_Obody,v_pn)
    | X1 != c_Option_Ooption_ONone(tc_Com_Ocom) ),
    inference(spm,[status(thm)],[c_0_3158,c_0_3159]) ).

cnf(c_0_3166,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,v_pn)))),
    inference(rw,[status(thm)],[c_0_3160,c_0_3161]) ).

cnf(c_0_3167,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3162,c_0_3161]),c_0_3163]),c_0_3164])]) ).

cnf(c_0_3168,hypothesis,
    c_Option_Ooption_ONone(tc_Com_Ocom) != hAPP(c_Com_Obody,v_pn),
    inference(er,[status(thm)],[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_3146 ).

cnf(c_0_3170,plain,
    ~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,v_pn))),
    inference(spm,[status(thm)],[c_0_3166,c_0_3167]) ).

cnf(c_0_3171,plain,
    ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1)))
    | hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_pn) ),
    inference(spm,[status(thm)],[c_0_3168,c_0_3169]) ).

cnf(c_0_3172,plain,
    $false,
    inference(spm,[status(thm)],[c_0_3170,c_0_3171]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWW386+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.31  % Computer : n032.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 600
% 0.12/0.31  % DateTime : Sat Jun  4 09:34:34 EDT 2022
% 0.12/0.31  % CPUTime  : 
% 0.16/0.43  # ENIGMATIC: Selected SinE mode:
% 0.38/0.62  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.62  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.38/0.62  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.38/0.62  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.96/3.48  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.96/3.48  # No SInE strategy applied
% 8.96/3.48  # Trying AutoSched0 for 150 seconds
% 8.96/3.48  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 8.96/3.48  # and selection function PSelectComplexExceptUniqMaxHorn.
% 8.96/3.48  #
% 8.96/3.48  # Preprocessing time       : 0.031 s
% 8.96/3.48  
% 8.96/3.48  # Proof found!
% 8.96/3.48  # SZS status Theorem
% 8.96/3.48  # SZS output start CNFRefutation
% See solution above
% 8.96/3.48  # Training examples: 0 positive, 0 negative
% 8.96/3.48  
% 8.96/3.48  # -------------------------------------------------
% 8.96/3.48  # User time                : 0.030 s
% 8.96/3.48  # System time              : 0.009 s
% 8.96/3.48  # Total time               : 0.040 s
% 8.96/3.48  # Maximum resident set size: 9508 pages
% 8.96/3.48  
%------------------------------------------------------------------------------