TSTP Solution File: SWV811-1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV811-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n004.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  : 300s
% DateTime : Thu Aug 31 21:48:14 EDT 2023

% Result   : Unsatisfiable 0.19s 0.65s
% Output   : CNFRefutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   75
% Syntax   : Number of formulae    :   79 (   7 unt;  72 typ;   0 def)
%            Number of atoms       :    7 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  119 (  56   >;  63   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-4 aty)
%            Number of functors    :   59 (  59 usr;  16 con; 0-5 aty)
%            Number of variables   :    6 (   2 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    tc_Message_Omsg: $i ).

tff(decl_23,type,
    c_Set_Oinsert: ( $i * $i * $i ) > $i ).

tff(decl_24,type,
    c_Message_Oparts: $i > $i ).

tff(decl_25,type,
    tc_bool: $i ).

tff(decl_26,type,
    tc_fun: ( $i * $i ) > $i ).

tff(decl_27,type,
    c_Orderings_Obot__class_Obot: $i > $i ).

tff(decl_28,type,
    c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).

tff(decl_29,type,
    c_Message_Omsg_ONonce: $i > $i ).

tff(decl_30,type,
    c_Message_Omsg_OMPair: ( $i * $i ) > $i ).

tff(decl_31,type,
    c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).

tff(decl_32,type,
    c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).

tff(decl_33,type,
    tc_Event_Oevent: $i ).

tff(decl_34,type,
    c_List_Olist_OCons: ( $i * $i * $i ) > $i ).

tff(decl_35,type,
    c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).

tff(decl_36,type,
    c_Public_OshrK: $i > $i ).

tff(decl_37,type,
    c_Message_Omsg_OAgent: $i > $i ).

tff(decl_38,type,
    c_Message_Omsg_OKey: $i ).

tff(decl_39,type,
    hAPP: ( $i * $i ) > $i ).

tff(decl_40,type,
    c_List_Oset: ( $i * $i ) > $i ).

tff(decl_41,type,
    c_in: ( $i * $i * $i ) > $o ).

tff(decl_42,type,
    c_Message_OsymKeys: $i ).

tff(decl_43,type,
    tc_nat: $i ).

tff(decl_44,type,
    c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).

tff(decl_45,type,
    c_List_Olist_ONil: $i > $i ).

tff(decl_46,type,
    c_Message_Oanalz: $i > $i ).

tff(decl_47,type,
    c_Public_OpublicKey: ( $i * $i ) > $i ).

tff(decl_48,type,
    class_Lattices_Olattice: $i > $o ).

tff(decl_49,type,
    class_Lattices_Oupper__semilattice: $i > $o ).

tff(decl_50,type,
    class_Lattices_Obounded__lattice: $i > $o ).

tff(decl_51,type,
    c_lessequals: ( $i * $i * $i ) > $o ).

tff(decl_52,type,
    c_Message_OinvKey: $i > $i ).

tff(decl_53,type,
    hBOOL: $i > $o ).

tff(decl_54,type,
    c_List_Oappend: ( $i * $i * $i ) > $i ).

tff(decl_55,type,
    c_Message_Osynth: $i > $i ).

tff(decl_56,type,
    c_Event_Oused: $i > $i ).

tff(decl_57,type,
    c_Event_Oknows: ( $i * $i ) > $i ).

tff(decl_58,type,
    c_Message_Oagent_OServer: $i ).

tff(decl_59,type,
    c_Message_Oagent_OSpy: $i ).

tff(decl_60,type,
    c_Event_Oevent_OGets: ( $i * $i ) > $i ).

tff(decl_61,type,
    v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1: ( $i * $i * $i ) > $i ).

tff(decl_62,type,
    c_Event_Oevent_ONotes: ( $i * $i ) > $i ).

tff(decl_63,type,
    c_NS__Shared__Mirabelle_Ons__shared: $i ).

tff(decl_64,type,
    tc_List_Olist: $i > $i ).

tff(decl_65,type,
    c_Event_Obad: $i ).

tff(decl_66,type,
    tc_Message_Oagent: $i ).

tff(decl_67,type,
    v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1: ( $i * $i * $i ) > $i ).

tff(decl_68,type,
    v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1: ( $i * $i * $i ) > $i ).

tff(decl_69,type,
    v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_70,type,
    v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1: ( $i * $i * $i ) > $i ).

tff(decl_71,type,
    c_Event_OinitState: $i > $i ).

tff(decl_72,type,
    c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: ( $i * $i * $i ) > $i ).

tff(decl_73,type,
    v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1: ( $i * $i ) > $i ).

tff(decl_74,type,
    v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2: ( $i * $i ) > $i ).

tff(decl_75,type,
    c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_76,type,
    class_HOL_Oord: $i > $o ).

tff(decl_77,type,
    c_List_Orev: ( $i * $i ) > $i ).

tff(decl_78,type,
    c_List_OtakeWhile: ( $i * $i * $i ) > $i ).

tff(decl_79,type,
    c_List_Osko__List__XtakeWhile__eq__all__conv__1__1: ( $i * $i * $i ) > $i ).

tff(decl_80,type,
    c_List_Osko__List__XtakeWhile__cong__1__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_81,type,
    v_sko__NS__Shared__Mirabelle__XIssues__def__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_82,type,
    c_NS__Shared__Mirabelle_OIssues: ( $i * $i * $i * $i ) > $o ).

tff(decl_83,type,
    class_Orderings_Obot: $i > $o ).

tff(decl_84,type,
    class_Orderings_Oorder: $i > $o ).

tff(decl_85,type,
    class_Orderings_Opreorder: $i > $o ).

tff(decl_86,type,
    class_Orderings_Olinorder: $i > $o ).

tff(decl_87,type,
    c_Not: $i ).

tff(decl_88,type,
    c_fequal: $i > $i ).

tff(decl_89,type,
    c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_90,type,
    v_A: $i ).

tff(decl_91,type,
    v_B: $i ).

tff(decl_92,type,
    v_K: $i ).

tff(decl_93,type,
    v_NB: $i ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_set__empty_1,axiom,
    c_List_Oset(c_List_Olist_ONil(X1),X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty_1) ).

cnf(cls_emptyE_0,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_emptyE_0) ).

cnf(c_0_3,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_3 ).

cnf(c_0_4,axiom,
    c_List_Oset(c_List_Olist_ONil(X1),X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_set__empty_1 ).

cnf(c_0_5,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    cls_emptyE_0 ).

cnf(c_0_6,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_5]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV811-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 04:45:52 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.65  % Version  : CSE_E---1.5
% 0.19/0.65  % Problem  : theBenchmark.p
% 0.19/0.65  % Proof found
% 0.19/0.65  % SZS status Theorem for theBenchmark.p
% 0.19/0.65  % SZS output start Proof
% See solution above
% 0.52/0.66  % Total time : 0.079000 s
% 0.52/0.66  % SZS output end Proof
% 0.52/0.66  % Total time : 0.090000 s
%------------------------------------------------------------------------------