%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV347-2 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n020.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 : Mon Jun 24 16:46:53 EDT 2024 % Result : Unsatisfiable 0.54s 0.59s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV347-2 : TPTP v8.2.0. Released v3.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n020.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 : Thu Jun 20 17:58:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.21/0.56 start to proof:theBenchmark % 0.54/0.58 %------------------------------------------- % 0.54/0.58 % File :CSE---1.7 % 0.54/0.58 % Problem :theBenchmark % 0.54/0.58 % Transform :cnf % 0.54/0.58 % Format :tptp:raw % 0.54/0.58 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.58 % 0.54/0.58 % Result :Theorem 0.000000s % 0.54/0.58 % Output :CNFRefutation 0.000000s % 0.54/0.58 %------------------------------------------- % 0.54/0.59 %------------------------------------------------------------------------------ % 0.54/0.59 % File : SWV347-2 : TPTP v8.2.0. Released v3.2.0. % 0.54/0.59 % Domain : Software Verification (Security) % 0.54/0.59 % Problem : Cryptographic protocol problem for Yahalom % 0.54/0.59 % Version : [Pau06] axioms : Reduced > Especial. % 0.54/0.59 % English : % 0.54/0.59 % 0.54/0.59 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.54/0.59 % Source : [Pau06] % 0.54/0.59 % Names : % 0.54/0.59 % 0.54/0.59 % Status : Unsatisfiable % 0.54/0.59 % 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 % 0.54/0.59 % Syntax : Number of clauses : 7 ( 6 unt; 1 nHn; 7 RR) % 0.54/0.59 % Number of literals : 11 ( 1 equ; 5 neg) % 0.54/0.59 % Maximal clause size : 5 ( 1 avg) % 0.54/0.59 % Maximal term depth : 7 ( 2 avg) % 0.54/0.59 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty) % 0.54/0.59 % Number of functors : 26 ( 26 usr; 15 con; 0-3 aty) % 0.54/0.59 % Number of variables : 13 ( 9 sgn) % 0.54/0.59 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.54/0.59 % 0.54/0.59 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.54/0.59 % of which only a small selection are required for the refutation. % 0.54/0.59 % The mission is to find those few axioms, after which a refutation % 0.54/0.59 % can be quite easily found. This version has only the necessary % 0.54/0.59 % axioms. % 0.54/0.59 %------------------------------------------------------------------------------ % 0.54/0.59 cnf(cls_Yahalom_OSays__unique__NB_1,axiom, % 0.54/0.59 ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) % 0.54/0.59 | ~ 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) % 0.54/0.59 | ~ 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) % 0.54/0.59 | c_in(V_nb,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.54/0.59 | V_A_H = V_A ) ). % 0.54/0.59 % 0.54/0.59 cnf(cls_conjecture_0,negated_conjecture, % 0.54/0.59 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 0.54/0.59 % 0.54/0.59 cnf(cls_conjecture_11,negated_conjecture, % 0.54/0.59 c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ). % 0.54/0.59 % 0.54/0.59 cnf(cls_conjecture_2,negated_conjecture, % 0.54/0.59 c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ). % 0.54/0.59 % 0.54/0.59 cnf(cls_conjecture_5,negated_conjecture, % 0.54/0.59 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) ). % 0.54/0.59 % 0.54/0.59 cnf(cls_conjecture_7,negated_conjecture, % 0.54/0.59 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) ). % 0.54/0.59 % 0.54/0.59 cnf(cls_conjecture_8,negated_conjecture, % 0.54/0.59 ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ). % 0.54/0.59 % 0.54/0.59 %------------------------------------------------------------------------------ % 0.54/0.59 %------------------------------------------- % 0.54/0.59 % Proof found % 0.54/0.59 % SZS status Theorem for theBenchmark % 0.54/0.59 % SZS output start Proof % 0.54/0.59 %ClaNum:31(EqnAxiom:24) % 0.54/0.59 %VarNum:20(SingletonVarNum:13) % 0.54/0.59 %MaxLitNum:5 % 0.54/0.59 %MaxfuncDepth:6 % 0.54/0.59 %SharedTerms:44 % 0.54/0.59 %goalClause: 25 26 27 28 29 30 % 0.54/0.59 %singleGoalClaCount:6 % 0.54/0.59 [25]P1(a1,a2,a3) % 0.54/0.59 [29]~P1(a19,a2,a3) % 0.54/0.59 [26]P1(a21,a4,f18(a17)) % 0.54/0.59 [30]~P1(f14(a26),f12(f9(a11,a21)),a20) % 0.54/0.59 [27]P1(f6(a5,f15(f10(a22),f16(f13(a22),f15(f10(a1),f15(f14(a24),f14(a26)))))),f7(a21,a17),a17) % 0.54/0.59 [28]P1(f8(a23,a5,f15(f10(a23),f16(f13(a23),f15(f10(a19),f15(f14(a25),f14(a26)))))),f7(a21,a17),a17) % 0.54/0.59 [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) % 0.54/0.59 %EqnAxiom % 0.54/0.59 [1]E(x11,x11) % 0.54/0.59 [2]E(x22,x21)+~E(x21,x22) % 0.54/0.59 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.54/0.59 [4]~E(x41,x42)+E(f18(x41),f18(x42)) % 0.54/0.59 [5]~E(x51,x52)+E(f10(x51),f10(x52)) % 0.54/0.59 [6]~E(x61,x62)+E(f13(x61),f13(x62)) % 0.54/0.59 [7]~E(x71,x72)+E(f8(x71,x73,x74),f8(x72,x73,x74)) % 0.54/0.59 [8]~E(x81,x82)+E(f8(x83,x81,x84),f8(x83,x82,x84)) % 0.54/0.59 [9]~E(x91,x92)+E(f8(x93,x94,x91),f8(x93,x94,x92)) % 0.54/0.59 [10]~E(x101,x102)+E(f14(x101),f14(x102)) % 0.54/0.59 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113)) % 0.54/0.59 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122)) % 0.54/0.59 [13]~E(x131,x132)+E(f15(x131,x133),f15(x132,x133)) % 0.54/0.59 [14]~E(x141,x142)+E(f15(x143,x141),f15(x143,x142)) % 0.54/0.59 [15]~E(x151,x152)+E(f7(x151,x153),f7(x152,x153)) % 0.54/0.59 [16]~E(x161,x162)+E(f7(x163,x161),f7(x163,x162)) % 0.54/0.59 [17]~E(x171,x172)+E(f16(x171,x173),f16(x172,x173)) % 0.54/0.59 [18]~E(x181,x182)+E(f16(x183,x181),f16(x183,x182)) % 0.54/0.59 [19]~E(x191,x192)+E(f12(x191),f12(x192)) % 0.54/0.59 [20]~E(x201,x202)+E(f9(x201,x203),f9(x202,x203)) % 0.54/0.59 [21]~E(x211,x212)+E(f9(x213,x211),f9(x213,x212)) % 0.54/0.59 [22]P1(x222,x223,x224)+~E(x221,x222)+~P1(x221,x223,x224) % 0.54/0.59 [23]P1(x233,x232,x234)+~E(x231,x232)+~P1(x233,x231,x234) % 0.54/0.59 [24]P1(x243,x244,x242)+~E(x241,x242)+~P1(x243,x244,x241) % 0.54/0.59 % 0.54/0.59 %------------------------------------------- % 0.54/0.59 cnf(33,plain, % 0.54/0.59 ($false), % 0.54/0.59 inference(scs_inference,[],[25,29,26,30,28,27,22,31]), % 0.54/0.59 ['proof']). % 0.54/0.59 % SZS output end Proof % 0.54/0.60 % Total time :0.000000s %------------------------------------------------------------------------------