TSTP Solution File: SWV347-2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWV347-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n023.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 21:33:10 EDT 2023

% Result   : Unsatisfiable 0.56s 0.64s
% Output   : CNFRefutation 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWV347-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33  % Computer : n023.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    : 300
% 0.12/0.33  % DateTime   : Tue Aug 29 07:27:40 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.45/0.59  start to proof:theBenchmark
% 0.56/0.64  %-------------------------------------------
% 0.56/0.64  % File        :CSE---1.6
% 0.56/0.64  % Problem     :theBenchmark
% 0.56/0.64  % Transform   :cnf
% 0.56/0.64  % Format      :tptp:raw
% 0.56/0.64  % Command     :java -jar mcs_scs.jar %d %s
% 0.56/0.64  
% 0.56/0.64  % Result      :Theorem 0.000000s
% 0.56/0.64  % Output      :CNFRefutation 0.000000s
% 0.56/0.64  %-------------------------------------------
% 0.56/0.64  %------------------------------------------------------------------------------
% 0.56/0.64  % File     : SWV347-2 : TPTP v8.1.2. Released v3.2.0.
% 0.56/0.64  % Domain   : Software Verification (Security)
% 0.56/0.64  % Problem  : Cryptographic protocol problem for Yahalom
% 0.56/0.64  % Version  : [Pau06] axioms : Reduced > Especial.
% 0.56/0.64  % English  :
% 0.56/0.64  
% 0.56/0.64  % Refs     : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.56/0.64  % Source   : [Pau06]
% 0.56/0.64  % Names    :
% 0.56/0.64  
% 0.56/0.64  % Status   : Unsatisfiable
% 0.56/0.64  % Rating   : 0.10 v8.1.0, 0.00 v7.5.0, 0.11 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.05 v5.4.0, 0.10 v5.3.0, 0.06 v5.2.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0
% 0.56/0.64  % Syntax   : Number of clauses     :    7 (   6 unt;   1 nHn;   7 RR)
% 0.56/0.64  %            Number of literals    :   11 (   1 equ;   5 neg)
% 0.56/0.64  %            Maximal clause size   :    5 (   1 avg)
% 0.56/0.64  %            Maximal term depth    :    7 (   2 avg)
% 0.56/0.64  %            Number of predicates  :    2 (   1 usr;   0 prp; 2-3 aty)
% 0.56/0.64  %            Number of functors    :   26 (  26 usr;  15 con; 0-3 aty)
% 0.56/0.64  %            Number of variables   :   13 (   9 sgn)
% 0.56/0.64  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 0.56/0.64  
% 0.56/0.64  % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.56/0.64  %            of which only a small selection are required for the refutation.
% 0.56/0.64  %            The mission is to find those few axioms, after which a refutation
% 0.56/0.64  %            can be quite easily found. This version has only the necessary
% 0.56/0.64  %            axioms.
% 0.56/0.64  %------------------------------------------------------------------------------
% 0.56/0.64  cnf(cls_Yahalom_OSays__unique__NB_1,axiom,
% 0.56/0.64      ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
% 0.56/0.64      | ~ c_in(c_Event_Oevent_OGets(V_S_H,c_Message_Omsg_OMPair(V_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA_H),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.56/0.64      | ~ c_in(c_Event_Oevent_OSays(V_C,V_S,c_Message_Omsg_OMPair(V_X,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),V_nb))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.56/0.64      | c_in(V_nb,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.56/0.64      | V_A_H = V_A ) ).
% 0.56/0.64  
% 0.56/0.64  cnf(cls_conjecture_0,negated_conjecture,
% 0.56/0.64      ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 0.56/0.64  
% 0.56/0.64  cnf(cls_conjecture_11,negated_conjecture,
% 0.56/0.64      c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ).
% 0.56/0.64  
% 0.56/0.64  cnf(cls_conjecture_2,negated_conjecture,
% 0.56/0.64      c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ).
% 0.56/0.64  
% 0.56/0.64  cnf(cls_conjecture_5,negated_conjecture,
% 0.56/0.64      c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.56/0.64  
% 0.56/0.64  cnf(cls_conjecture_7,negated_conjecture,
% 0.56/0.64      c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.56/0.64  
% 0.56/0.64  cnf(cls_conjecture_8,negated_conjecture,
% 0.56/0.64      ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ).
% 0.56/0.64  
% 0.56/0.64  %------------------------------------------------------------------------------
% 0.56/0.64  %-------------------------------------------
% 0.56/0.64  % Proof found
% 0.56/0.64  % SZS status Theorem for theBenchmark
% 0.56/0.64  % SZS output start Proof
% 0.56/0.64  %ClaNum:31(EqnAxiom:24)
% 0.56/0.64  %VarNum:20(SingletonVarNum:13)
% 0.56/0.64  %MaxLitNum:5
% 0.56/0.64  %MaxfuncDepth:6
% 0.56/0.64  %SharedTerms:44
% 0.56/0.64  %goalClause: 25 26 27 28 29 30
% 0.56/0.64  %singleGoalClaCount:6
% 0.56/0.64  [25]P1(a1,a2,a3)
% 0.56/0.64  [29]~P1(a19,a2,a3)
% 0.56/0.64  [26]P1(a21,a4,f18(a17))
% 0.56/0.64  [30]~P1(f14(a26),f12(f9(a11,a21)),a20)
% 0.56/0.64  [27]P1(f6(a5,f15(f10(a22),f16(f13(a22),f15(f10(a1),f15(f14(a24),f14(a26)))))),f7(a21,a17),a17)
% 0.56/0.64  [28]P1(f8(a23,a5,f15(f10(a23),f16(f13(a23),f15(f10(a19),f15(f14(a25),f14(a26)))))),f7(a21,a17),a17)
% 0.56/0.64  [31]E(x311,x312)+~P1(x314,a4,f18(a17))+P1(x313,f12(f9(a11,x314)),a20)+~P1(f8(x319,x3110,f15(x3111,f16(f13(x3112),f15(f10(x312),f15(f14(x3113),x313))))),f7(x314,a17),a17)+~P1(f6(x315,f15(x316,f16(f13(x317),f15(f10(x311),f15(f14(x318),x313))))),f7(x314,a17),a17)
% 0.56/0.64  %EqnAxiom
% 0.56/0.64  [1]E(x11,x11)
% 0.56/0.64  [2]E(x22,x21)+~E(x21,x22)
% 0.56/0.64  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.56/0.64  [4]~E(x41,x42)+E(f18(x41),f18(x42))
% 0.56/0.64  [5]~E(x51,x52)+E(f10(x51),f10(x52))
% 0.56/0.64  [6]~E(x61,x62)+E(f13(x61),f13(x62))
% 0.56/0.64  [7]~E(x71,x72)+E(f8(x71,x73,x74),f8(x72,x73,x74))
% 0.56/0.64  [8]~E(x81,x82)+E(f8(x83,x81,x84),f8(x83,x82,x84))
% 0.56/0.64  [9]~E(x91,x92)+E(f8(x93,x94,x91),f8(x93,x94,x92))
% 0.56/0.64  [10]~E(x101,x102)+E(f14(x101),f14(x102))
% 0.56/0.64  [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 0.56/0.64  [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 0.56/0.64  [13]~E(x131,x132)+E(f15(x131,x133),f15(x132,x133))
% 0.56/0.64  [14]~E(x141,x142)+E(f15(x143,x141),f15(x143,x142))
% 0.56/0.64  [15]~E(x151,x152)+E(f7(x151,x153),f7(x152,x153))
% 0.56/0.64  [16]~E(x161,x162)+E(f7(x163,x161),f7(x163,x162))
% 0.56/0.64  [17]~E(x171,x172)+E(f16(x171,x173),f16(x172,x173))
% 0.56/0.64  [18]~E(x181,x182)+E(f16(x183,x181),f16(x183,x182))
% 0.56/0.64  [19]~E(x191,x192)+E(f12(x191),f12(x192))
% 0.56/0.64  [20]~E(x201,x202)+E(f9(x201,x203),f9(x202,x203))
% 0.56/0.64  [21]~E(x211,x212)+E(f9(x213,x211),f9(x213,x212))
% 0.56/0.64  [22]P1(x222,x223,x224)+~E(x221,x222)+~P1(x221,x223,x224)
% 0.56/0.64  [23]P1(x233,x232,x234)+~E(x231,x232)+~P1(x233,x231,x234)
% 0.56/0.64  [24]P1(x243,x244,x242)+~E(x241,x242)+~P1(x243,x244,x241)
% 0.56/0.64  
% 0.56/0.64  %-------------------------------------------
% 0.56/0.65  cnf(33,plain,
% 0.56/0.65     ($false),
% 0.56/0.65     inference(scs_inference,[],[25,29,26,30,28,27,22,31]),
% 0.56/0.65     ['proof']).
% 0.56/0.65  % SZS output end Proof
% 0.56/0.65  % Total time :0.000000s
%------------------------------------------------------------------------------