TSTP Solution File: SWV359-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV359-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 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 : 300s
% DateTime : Thu Aug 31 21:33:15 EDT 2023
% Result : Unsatisfiable 0.14s 0.53s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SWV359-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue Aug 29 06:35:16 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.14/0.46 start to proof:theBenchmark
% 0.14/0.53 %-------------------------------------------
% 0.14/0.53 % File :CSE---1.6
% 0.14/0.53 % Problem :theBenchmark
% 0.14/0.53 % Transform :cnf
% 0.14/0.53 % Format :tptp:raw
% 0.14/0.53 % Command :java -jar mcs_scs.jar %d %s
% 0.14/0.53
% 0.14/0.53 % Result :Theorem 0.010000s
% 0.14/0.53 % Output :CNFRefutation 0.010000s
% 0.14/0.53 %-------------------------------------------
% 0.14/0.53 %------------------------------------------------------------------------------
% 0.14/0.53 % File : SWV359-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.53 % Domain : Software Verification (Security)
% 0.14/0.53 % Problem : Cryptographic protocol problem for Yahalom
% 0.14/0.53 % Version : [Pau06] axioms : Reduced > Especial.
% 0.14/0.53 % English :
% 0.14/0.53
% 0.14/0.53 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.14/0.53 % Source : [Pau06]
% 0.14/0.53 % Names :
% 0.14/0.53
% 0.14/0.53 % Status : Unsatisfiable
% 0.14/0.53 % Rating : 0.00 v7.0.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v5.5.0, 0.19 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.22 v4.0.1, 0.17 v3.3.0, 0.14 v3.2.0
% 0.14/0.53 % Syntax : Number of clauses : 10 ( 5 unt; 0 nHn; 9 RR)
% 0.14/0.53 % Number of literals : 18 ( 1 equ; 9 neg)
% 0.14/0.53 % Maximal clause size : 4 ( 1 avg)
% 0.14/0.53 % Maximal term depth : 7 ( 2 avg)
% 0.14/0.53 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.14/0.53 % Number of functors : 25 ( 25 usr; 13 con; 0-3 aty)
% 0.14/0.53 % Number of variables : 21 ( 10 sgn)
% 0.14/0.53 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.14/0.53
% 0.14/0.53 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.14/0.53 % of which only a small selection are required for the refutation.
% 0.14/0.53 % The mission is to find those few axioms, after which a refutation
% 0.14/0.53 % can be quite easily found. This version has only the necessary
% 0.14/0.53 % axioms.
% 0.14/0.53 %------------------------------------------------------------------------------
% 0.14/0.53 cnf(cls_Event_OSays__imp__spies_0,axiom,
% 0.14/0.53 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.14/0.53 | c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ).
% 0.14/0.53
% 0.14/0.53 cnf(cls_Message_OMPair__parts_0,axiom,
% 0.14/0.53 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.14/0.53 | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.14/0.53
% 0.14/0.53 cnf(cls_Message_Oparts_OInj_0,axiom,
% 0.14/0.53 ( ~ c_in(V_X,V_H,tc_Message_Omsg)
% 0.14/0.53 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.14/0.53
% 0.14/0.53 cnf(cls_Message_Oparts__analz_0,axiom,
% 0.14/0.53 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ).
% 0.14/0.53
% 0.14/0.53 cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,
% 0.14/0.53 ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
% 0.14/0.53 | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.14/0.53 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.14/0.53
% 0.14/0.53 cnf(cls_Yahalom_Ono__nonce__YM1__YM2_0,axiom,
% 0.14/0.53 ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
% 0.14/0.53 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(V_na,c_Message_Omsg_ONonce(V_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.14/0.53 | ~ c_in(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_NB),V_nb_H))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.14/0.53 | c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.14/0.53
% 0.14/0.53 cnf(cls_conjecture_2,negated_conjecture,
% 0.14/0.53 c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ).
% 0.14/0.53
% 0.14/0.53 cnf(cls_conjecture_5,negated_conjecture,
% 0.14/0.53 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_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.14/0.53
% 0.14/0.53 cnf(cls_conjecture_7,negated_conjecture,
% 0.14/0.53 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) ).
% 0.14/0.53
% 0.14/0.53 cnf(cls_conjecture_8,negated_conjecture,
% 0.14/0.53 ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ).
% 0.14/0.53
% 0.14/0.53 %------------------------------------------------------------------------------
% 0.14/0.53 %-------------------------------------------
% 0.14/0.53 % Proof found
% 0.14/0.53 % SZS status Theorem for theBenchmark
% 0.14/0.53 % SZS output start Proof
% 0.14/0.53 %ClaNum:35(EqnAxiom:25)
% 0.14/0.53 %VarNum:36(SingletonVarNum:21)
% 0.14/0.53 %MaxLitNum:4
% 0.14/0.53 %MaxfuncDepth:6
% 0.14/0.53 %SharedTerms:40
% 0.14/0.53 %goalClause: 27 28 29 30
% 0.14/0.53 %singleGoalClaCount:4
% 0.14/0.53 [27]P1(a13,a14,f17(a16))
% 0.14/0.53 [30]~P1(f10(a23),f1(f6(a7,a13)),a21)
% 0.14/0.53 [28]P1(f3(a2,f11(f9(a18),f12(f15(a18),f11(f9(a19),f11(f10(a23),f10(a25)))))),f4(a13,a16),a16)
% 0.14/0.53 [29]P1(f5(a22,a2,f11(f9(a22),f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23)))))),f4(a13,a16),a16)
% 0.14/0.53 [26]E(f8(f1(x261)),f8(x261))
% 0.14/0.53 [31]~P1(x311,x312,a21)+P1(x311,f8(x312),a21)
% 0.14/0.53 [32]P1(x321,f8(x322),a21)+~P1(f11(x323,x321),f8(x322),a21)
% 0.14/0.53 [34]P1(x341,f6(a7,x342),a21)+~P1(f5(x343,x344,x341),f4(x342,a16),a16)
% 0.14/0.53 [33]~P1(f3(x333,x331),f4(x332,a16),a16)+~P1(x332,a14,f17(a16))+P1(x331,f1(f6(a7,x332)),a21)
% 0.14/0.53 [35]~P1(x352,a14,f17(a16))+P1(f10(x351),f1(f6(a7,x352)),a21)+~P1(f12(f15(x353),f11(f9(x354),f11(x355,f10(x351)))),f8(f6(a7,x352)),a21)+~P1(f12(f15(x356),f11(f9(x357),f11(f10(x351),x358))),f8(f6(a7,x352)),a21)
% 0.14/0.53 %EqnAxiom
% 0.14/0.53 [1]E(x11,x11)
% 0.14/0.53 [2]E(x22,x21)+~E(x21,x22)
% 0.14/0.53 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.14/0.53 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.14/0.53 [5]~E(x51,x52)+E(f8(x51),f8(x52))
% 0.14/0.53 [6]~E(x61,x62)+E(f11(x61,x63),f11(x62,x63))
% 0.14/0.53 [7]~E(x71,x72)+E(f11(x73,x71),f11(x73,x72))
% 0.14/0.53 [8]~E(x81,x82)+E(f17(x81),f17(x82))
% 0.14/0.53 [9]~E(x91,x92)+E(f9(x91),f9(x92))
% 0.14/0.53 [10]~E(x101,x102)+E(f15(x101),f15(x102))
% 0.14/0.53 [11]~E(x111,x112)+E(f5(x111,x113,x114),f5(x112,x113,x114))
% 0.14/0.53 [12]~E(x121,x122)+E(f5(x123,x121,x124),f5(x123,x122,x124))
% 0.14/0.53 [13]~E(x131,x132)+E(f5(x133,x134,x131),f5(x133,x134,x132))
% 0.14/0.53 [14]~E(x141,x142)+E(f10(x141),f10(x142))
% 0.14/0.53 [15]~E(x151,x152)+E(f4(x151,x153),f4(x152,x153))
% 0.14/0.53 [16]~E(x161,x162)+E(f4(x163,x161),f4(x163,x162))
% 0.14/0.53 [17]~E(x171,x172)+E(f6(x171,x173),f6(x172,x173))
% 0.14/0.53 [18]~E(x181,x182)+E(f6(x183,x181),f6(x183,x182))
% 0.14/0.53 [19]~E(x191,x192)+E(f12(x191,x193),f12(x192,x193))
% 0.14/0.53 [20]~E(x201,x202)+E(f12(x203,x201),f12(x203,x202))
% 0.14/0.53 [21]~E(x211,x212)+E(f3(x211,x213),f3(x212,x213))
% 0.14/0.53 [22]~E(x221,x222)+E(f3(x223,x221),f3(x223,x222))
% 0.14/0.53 [23]P1(x232,x233,x234)+~E(x231,x232)+~P1(x231,x233,x234)
% 0.14/0.53 [24]P1(x243,x242,x244)+~E(x241,x242)+~P1(x243,x241,x244)
% 0.14/0.53 [25]P1(x253,x254,x252)+~E(x251,x252)+~P1(x253,x254,x251)
% 0.14/0.53
% 0.14/0.53 %-------------------------------------------
% 0.14/0.54 cnf(36,plain,
% 0.14/0.54 (E(f8(x361),f8(f1(x361)))),
% 0.14/0.54 inference(scs_inference,[],[26,2])).
% 0.14/0.54 cnf(37,plain,
% 0.14/0.54 (~P1(f3(x371,f10(a23)),f4(a13,a16),a16)),
% 0.14/0.54 inference(scs_inference,[],[27,30,26,2,33])).
% 0.14/0.54 cnf(38,plain,
% 0.14/0.54 (E(f3(x381,f8(f1(x382))),f3(x381,f8(x382)))),
% 0.14/0.54 inference(scs_inference,[],[27,30,26,2,33,22])).
% 0.14/0.54 cnf(39,plain,
% 0.14/0.54 (E(f3(f8(f1(x391)),x392),f3(f8(x391),x392))),
% 0.14/0.54 inference(scs_inference,[],[27,30,26,2,33,22,21])).
% 0.14/0.54 cnf(40,plain,
% 0.14/0.54 (E(f12(x401,f8(f1(x402))),f12(x401,f8(x402)))),
% 0.14/0.54 inference(scs_inference,[],[27,30,26,2,33,22,21,20])).
% 0.14/0.54 cnf(57,plain,
% 0.14/0.54 (P1(f11(f9(a22),f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23))))),f6(a7,a13),a21)),
% 0.14/0.54 inference(scs_inference,[],[27,30,29,26,2,33,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,34])).
% 0.14/0.54 cnf(60,plain,
% 0.14/0.54 (~P1(x601,f8(f1(x602)),x603)+P1(x601,f8(x602),x603)),
% 0.14/0.54 inference(scs_inference,[],[27,30,29,26,2,33,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,34,25,24])).
% 0.14/0.54 cnf(66,plain,
% 0.14/0.54 (P1(f11(f9(a22),f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23))))),f8(f6(a7,a13)),a21)),
% 0.14/0.54 inference(scs_inference,[],[57,31])).
% 0.14/0.54 cnf(68,plain,
% 0.14/0.54 (P1(f11(f9(a18),f12(f15(a18),f11(f9(a19),f11(f10(a23),f10(a25))))),f1(f6(a7,a13)),a21)),
% 0.14/0.54 inference(scs_inference,[],[27,28,57,31,33])).
% 0.14/0.54 cnf(79,plain,
% 0.14/0.54 (P1(f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23)))),f8(f6(a7,a13)),a21)),
% 0.14/0.54 inference(scs_inference,[],[27,28,36,38,39,37,57,31,33,23,3,24,2,22,25,32])).
% 0.14/0.54 cnf(97,plain,
% 0.14/0.54 (~P1(f11(x971,f12(f15(x972),f11(f9(x973),f11(f10(a23),x974)))),f8(f6(a7,a13)),a21)),
% 0.14/0.54 inference(scs_inference,[],[36,30,26,40,66,79,27,35,2,22,23,24,60,31,34,32])).
% 0.14/0.54 cnf(104,plain,
% 0.14/0.54 ($false),
% 0.14/0.54 inference(scs_inference,[],[68,97,31,60]),
% 0.14/0.54 ['proof']).
% 0.14/0.54 % SZS output end Proof
% 0.14/0.54 % Total time :0.010000s
%------------------------------------------------------------------------------