TSTP Solution File: SWV772-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV772-1 : 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 21:48:05 EDT 2023

% Result   : Unsatisfiable 0.21s 0.70s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   79
% Syntax   : Number of formulae    :   83 (   7 unt;  76 typ;   0 def)
%            Number of atoms       :    7 (   6 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  :  159 (  66   >;  93   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :   63 (  63 usr;  10 con; 0-5 aty)
%            Number of variables   :   12 (   4 sgn;   0   !;   0   ?;   0   :)

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

tff(decl_23,type,
    c_Event_Oused: $i > $i ).

tff(decl_24,type,
    tc_Message_Omsg: $i ).

tff(decl_25,type,
    c_in: ( $i * $i * $i ) > $o ).

tff(decl_26,type,
    c_Event_OinitState: $i > $i ).

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

tff(decl_28,type,
    tc_bool: $i ).

tff(decl_29,type,
    tc_fun: ( $i * $i ) > $i ).

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

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

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

tff(decl_33,type,
    c_Message_Oanalz: $i > $i ).

tff(decl_34,type,
    c_Message_Oagent_OSpy: $i ).

tff(decl_35,type,
    c_Event_Oknows: ( $i * $i ) > $i ).

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

tff(decl_37,type,
    c_List_Orev: ( $i * $i ) > $i ).

tff(decl_38,type,
    c_List_Odistinct: ( $i * $i ) > $o ).

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

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

tff(decl_41,type,
    c_List_Osko__List__XtakeWhile__cong__1__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_42,type,
    hAPP: ( $i * $i ) > $i ).

tff(decl_43,type,
    hBOOL: $i > $o ).

tff(decl_44,type,
    class_Orderings_Olinorder: $i > $o ).

tff(decl_45,type,
    c_List_Olinorder__class_Oinsort__key: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_46,type,
    c_List_Olist_OCons: ( $i * $i * $i ) > $i ).

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

tff(decl_48,type,
    c_List_OdropWhile: ( $i * $i * $i ) > $i ).

tff(decl_49,type,
    c_List_Oremove1: ( $i * $i * $i ) > $i ).

tff(decl_50,type,
    c_List_Olist_ONil: $i > $i ).

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

tff(decl_52,type,
    c_List_Olist__update: ( $i * $i * $i * $i ) > $i ).

tff(decl_53,type,
    c_List_Oappend: ( $i * $i * $i ) > $i ).

tff(decl_54,type,
    c_Event_Obad: $i ).

tff(decl_55,type,
    tc_Message_Oagent: $i ).

tff(decl_56,type,
    c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).

tff(decl_57,type,
    tc_Event_Oevent: $i ).

tff(decl_58,type,
    c_List_Oset: ( $i * $i ) > $i ).

tff(decl_59,type,
    c_List_Orotate1: ( $i * $i ) > $i ).

tff(decl_60,type,
    class_Orderings_Opreorder: $i > $o ).

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

tff(decl_62,type,
    class_HOL_Oord: $i > $o ).

tff(decl_63,type,
    class_Orderings_Oorder: $i > $o ).

tff(decl_64,type,
    c_List_Oreplicate: ( $i * $i * $i ) > $i ).

tff(decl_65,type,
    c_Event_Oevent_ONotes: ( $i * $i ) > $i ).

tff(decl_66,type,
    class_Ring__and__Field_Oordered__idom: $i > $o ).

tff(decl_67,type,
    c_List_Osko__List__XtakeWhile__eq__all__conv__1__1: ( $i * $i * $i ) > $i ).

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

tff(decl_69,type,
    c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1: ( $i * $i * $i ) > $i ).

tff(decl_70,type,
    c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2: ( $i * $i * $i ) > $i ).

tff(decl_71,type,
    c_List_Osko__List__XtakeWhile__append2__1__1: ( $i * $i * $i ) > $i ).

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

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

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

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

tff(decl_76,type,
    c_List_Otl: ( $i * $i ) > $i ).

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

tff(decl_78,type,
    c_List_Osko__List__Xrev__induct__1__2: ( $i * $i ) > $i ).

tff(decl_79,type,
    c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).

tff(decl_80,type,
    c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_81,type,
    c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1: ( $i * $i * $i ) > $i ).

tff(decl_82,type,
    c_Message_Osko__Message__Xanalz__insert__eq__I__1__1: ( $i * $i ) > $i ).

tff(decl_83,type,
    c_List_Olength__unique: ( $i * $i ) > $i ).

tff(decl_84,type,
    c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: ( $i * $i * $i ) > $i ).

tff(decl_85,type,
    c_List_Osko__List__Xsplit__list__first__prop__iff__1__5: ( $i * $i * $i ) > $i ).

tff(decl_86,type,
    c_List_Osko__List__Xsplit__list__last__prop__iff__1__5: ( $i * $i * $i ) > $i ).

tff(decl_87,type,
    c_List_Olast: ( $i * $i ) > $i ).

tff(decl_88,type,
    c_List_Osko__List__Xrev__induct__1__1: ( $i * $i ) > $i ).

tff(decl_89,type,
    c_List_Osko__List__Xrev__cases__1__1: ( $i * $i ) > $i ).

tff(decl_90,type,
    c_List_Osko__List__Xrev__cases__1__2: ( $i * $i ) > $i ).

tff(decl_91,type,
    c_List_Osko__List__XCons__eq__append__conv__1__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_92,type,
    c_List_Osko__List__Xappend__eq__Cons__conv__1__1: ( $i * $i * $i * $i * $i ) > $i ).

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

tff(decl_94,type,
    v_B: $i ).

tff(decl_95,type,
    v_X: $i ).

tff(decl_96,type,
    tc_nat: $i ).

tff(decl_97,type,
    c_fequal: ( $i * $i * $i ) > $o ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_self__append__conv2_1,axiom,
    X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv2_1) ).

cnf(cls_knows__Spy__Says_0,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).

cnf(c_0_3,negated_conjecture,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    cls_conjecture_0 ).

cnf(c_0_4,axiom,
    X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
    cls_self__append__conv2_1 ).

cnf(c_0_5,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg),
    cls_knows__Spy__Says_0 ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV772-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 29 07:39:22 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.21/0.57  start to proof: theBenchmark
% 0.21/0.70  % Version  : CSE_E---1.5
% 0.21/0.70  % Problem  : theBenchmark.p
% 0.21/0.70  % Proof found
% 0.21/0.70  % SZS status Theorem for theBenchmark.p
% 0.21/0.70  % SZS output start Proof
% See solution above
% 0.21/0.71  % Total time : 0.112000 s
% 0.21/0.71  % SZS output end Proof
% 0.21/0.71  % Total time : 0.124000 s
%------------------------------------------------------------------------------