TSTP Solution File: SWV779-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV779-1 : 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 : 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  : 300s
% DateTime : Thu Aug 31 21:48:07 EDT 2023

% Result   : Unsatisfiable 0.19s 0.59s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :  105
% Syntax   : Number of formulae    :  108 (   5 unt; 103 typ;   0 def)
%            Number of atoms       :    5 (   4 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    :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  206 (  95   >; 111   *;   0   +;   0  <<)
%            Number of predicates  :   23 (  21 usr;   1 prp; 0-5 aty)
%            Number of functors    :   82 (  82 usr;   8 con; 0-5 aty)
%            Number of variables   :    2 (   0 sgn;   0   !;   0   ?;   0   :)

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

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

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

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

tff(decl_26,type,
    tc_Message_Omsg: $i ).

tff(decl_27,type,
    tc_bool: $i ).

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

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

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

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

tff(decl_32,type,
    c_Message_Oagent_OSpy: $i ).

tff(decl_33,type,
    c_List_Odrop: ( $i * $i * $i ) > $i ).

tff(decl_34,type,
    c_List_Olist_ONil: $i > $i ).

tff(decl_35,type,
    tc_List_Olist: $i > $i ).

tff(decl_36,type,
    c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).

tff(decl_37,type,
    tc_nat: $i ).

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

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

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

tff(decl_41,type,
    t_a: $i ).

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

tff(decl_43,type,
    hAPP: ( $i * $i ) > $i ).

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

tff(decl_45,type,
    v_sko__Message__Xagent__Xsplit__1: ( $i * $i * $i ) > $i ).

tff(decl_46,type,
    c_Message_Oagent_OServer: $i ).

tff(decl_47,type,
    c_Message_Osko__Message__Xagent__Xcase__cong__1__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_48,type,
    v_sko__Message__Xagent__Xsplit__asm__1: ( $i * $i * $i ) > $i ).

tff(decl_49,type,
    c_Message_Oagent_OFriend: $i > $i ).

tff(decl_50,type,
    c_List_Obutlast: ( $i * $i ) > $i ).

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

tff(decl_52,type,
    class_HOL_Oord: $i > $o ).

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

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

tff(decl_55,type,
    class_OrderedGroup_Oab__group__add: $i > $o ).

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

tff(decl_57,type,
    class_Divides_Osemiring__div: $i > $o ).

tff(decl_58,type,
    class_Orderings_Oorder: $i > $o ).

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

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

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

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

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

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

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

tff(decl_66,type,
    c_List_Ofilter: ( $i * $i * $i ) > $i ).

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

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

tff(decl_69,type,
    c_List_Oremove1: ( $i * $i * $i ) > $i ).

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

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

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

tff(decl_73,type,
    c_Event_OinitState: $i > $i ).

tff(decl_74,type,
    v_sko__List__Xlist__Xinduct__1: $i > $i ).

tff(decl_75,type,
    v_sko__List__Xlist__Xinduct__2: $i > $i ).

tff(decl_76,type,
    v_sko__List__Xlist__update__Xinduct__1: $i > $i ).

tff(decl_77,type,
    v_sko__List__Xlist__update__Xinduct__2: $i > $i ).

tff(decl_78,type,
    v_sko__List__XremoveAll__Xinduct__1: $i > $i ).

tff(decl_79,type,
    v_sko__List__XremoveAll__Xinduct__2: $i > $i ).

tff(decl_80,type,
    v_sko__List__XtakeWhile__Xinduct__1: $i > $i ).

tff(decl_81,type,
    v_sko__List__XtakeWhile__Xinduct__2: $i > $i ).

tff(decl_82,type,
    v_sko__List__XdropWhile__Xinduct__1: $i > $i ).

tff(decl_83,type,
    v_sko__List__XdropWhile__Xinduct__2: $i > $i ).

tff(decl_84,type,
    v_sko__List__Xzip__Xinduct__1: $i > $i ).

tff(decl_85,type,
    v_sko__List__Xzip__Xinduct__2: $i > $i ).

tff(decl_86,type,
    v_sko__List__Xlistset__Xinduct__1: $i > $i ).

tff(decl_87,type,
    v_sko__List__Xlistset__Xinduct__2: $i > $i ).

tff(decl_88,type,
    v_sko__List__Xremove1__Xinduct__1: $i > $i ).

tff(decl_89,type,
    v_sko__List__Xremove1__Xinduct__2: $i > $i ).

tff(decl_90,type,
    v_sko__List__Xdistinct__Xinduct__1: $i > $i ).

tff(decl_91,type,
    v_sko__List__Xdistinct__Xinduct__2: $i > $i ).

tff(decl_92,type,
    v_sko__List__Xlistsum__Xinduct__1: $i > $i ).

tff(decl_93,type,
    v_sko__List__Xlistsum__Xinduct__2: $i > $i ).

tff(decl_94,type,
    v_sko__List__Xlast__Xinduct__1: $i > $i ).

tff(decl_95,type,
    v_sko__List__Xlast__Xinduct__2: $i > $i ).

tff(decl_96,type,
    class_OrderedGroup_Ocomm__monoid__add: $i > $o ).

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

tff(decl_98,type,
    c_List_Omap: ( $i * $i * $i * $i ) > $i ).

tff(decl_99,type,
    c_List_Olistsum: ( $i * $i ) > $i ).

tff(decl_100,type,
    c_List_Odistinct: ( $i * $i ) > $o ).

tff(decl_101,type,
    c_List_Olast: ( $i * $i ) > $i ).

tff(decl_102,type,
    c_List_Orotate1: ( $i * $i ) > $i ).

tff(decl_103,type,
    c_List_Ohd: ( $i * $i ) > $i ).

tff(decl_104,type,
    c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).

tff(decl_105,type,
    c_fequal: $i > $i ).

tff(decl_106,type,
    c_List_Ofoldl: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_107,type,
    c_List_Olist_Olist__case: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_108,type,
    c_List_Olist__all: ( $i * $i * $i ) > $o ).

tff(decl_109,type,
    c_List_Onull: ( $i * $i ) > $o ).

tff(decl_110,type,
    c_List_Olistsp: ( $i * $i * $i ) > $o ).

tff(decl_111,type,
    c_List_Ofoldr: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_112,type,
    c_List_Olist__ex: ( $i * $i * $i ) > $o ).

tff(decl_113,type,
    c_List_Olistrelp: ( $i * $i * $i * $i ) > $o ).

tff(decl_114,type,
    c_Map_Omap__upds: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_115,type,
    c_List_Olist_Olist__rec: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_116,type,
    c_Message_Oagent_Oagent__rec: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_117,type,
    t_b: $i ).

tff(decl_118,type,
    c_List_Olist__inter: ( $i * $i * $i ) > $i ).

tff(decl_119,type,
    v_sko__List__Xfoldl__Xinduct__2: $i > $i ).

tff(decl_120,type,
    v_sko__List__Xtake__Xinduct__2: $i > $i ).

tff(decl_121,type,
    c_List_Ofiltermap: ( $i * $i * $i * $i ) > $i ).

tff(decl_122,type,
    v_sko__List__Xconcat__Xinduct__2: $i > $i ).

tff(decl_123,type,
    v_sko__List__Xmap__Xinduct__2: $i > $i ).

tff(decl_124,type,
    c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_Nil__is__rev__conv_1,axiom,
    c_List_Olist_ONil(X1) = hAPP(c_List_Orev(X1),c_List_Olist_ONil(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_1) ).

cnf(c_0_2,negated_conjecture,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))),
    cls_conjecture_0 ).

cnf(c_0_3,axiom,
    c_List_Olist_ONil(X1) = hAPP(c_List_Orev(X1),c_List_Olist_ONil(X1)),
    cls_Nil__is__rev__conv_1 ).

cnf(c_0_4,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2,c_0_3])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWV779-1 : 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
% 0.13/0.34  % Computer : n018.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 07:13:17 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.59  % Version  : CSE_E---1.5
% 0.19/0.59  % Problem  : theBenchmark.p
% 0.19/0.59  % Proof found
% 0.19/0.59  % SZS status Theorem for theBenchmark.p
% 0.19/0.59  % SZS output start Proof
% See solution above
% 0.19/0.60  % Total time : 0.019000 s
% 0.19/0.60  % SZS output end Proof
% 0.19/0.60  % Total time : 0.027000 s
%------------------------------------------------------------------------------