%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV311-2 : 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 : n026.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 16:46:39 EDT 2024 % Result : Unsatisfiable 0.55s 0.78s % Output : CNFRefutation 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV311-2 : TPTP v8.2.0. Released v3.2.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n026.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 : Thu Jun 20 15:05:39 EDT 2024 % 0.12/0.34 % CPUTime : % 0.50/0.58 start to proof:theBenchmark % 0.55/0.77 %------------------------------------------- % 0.55/0.77 % File :CSE---1.7 % 0.55/0.77 % Problem :theBenchmark % 0.55/0.77 % Transform :cnf % 0.55/0.77 % Format :tptp:raw % 0.55/0.77 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.77 % 0.55/0.77 % Result :Theorem 0.140000s % 0.55/0.77 % Output :CNFRefutation 0.140000s % 0.55/0.77 %------------------------------------------- % 0.55/0.77 %------------------------------------------------------------------------------ % 0.55/0.77 % File : SWV311-2 : TPTP v8.2.0. Released v3.2.0. % 0.55/0.77 % Domain : Software Verification (Security) % 0.55/0.77 % Problem : Cryptographic protocol problem for Otway Rees % 0.55/0.77 % Version : [Pau06] axioms : Reduced > Especial. % 0.55/0.77 % English : % 0.55/0.77 % 0.55/0.77 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.55/0.77 % Source : [Pau06] % 0.55/0.77 % Names : % 0.55/0.77 % 0.55/0.77 % Status : Unsatisfiable % 0.55/0.77 % Rating : 0.20 v8.2.0, 0.24 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.18 v7.3.0, 0.08 v7.0.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.25 v5.4.0, 0.30 v5.3.0, 0.28 v5.2.0, 0.19 v5.1.0, 0.24 v5.0.0, 0.36 v4.1.0, 0.31 v4.0.1, 0.09 v4.0.0, 0.18 v3.7.0, 0.10 v3.5.0, 0.18 v3.4.0, 0.33 v3.3.0, 0.36 v3.2.0 % 0.55/0.77 % Syntax : Number of clauses : 12 ( 7 unt; 1 nHn; 12 RR) % 0.55/0.77 % Number of literals : 20 ( 3 equ; 9 neg) % 0.55/0.77 % Maximal clause size : 4 ( 1 avg) % 0.55/0.77 % Maximal term depth : 11 ( 2 avg) % 0.55/0.77 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty) % 0.55/0.77 % Number of functors : 29 ( 29 usr; 15 con; 0-5 aty) % 0.55/0.77 % Number of variables : 18 ( 4 sgn) % 0.55/0.77 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.55/0.77 % 0.55/0.77 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.55/0.77 % of which only a small selection are required for the refutation. % 0.55/0.77 % The mission is to find those few axioms, after which a refutation % 0.55/0.77 % can be quite easily found. This version has only the necessary % 0.55/0.77 % axioms. % 0.55/0.77 %------------------------------------------------------------------------------ % 0.55/0.77 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom, % 0.55/0.77 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.55/0.77 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 0.55/0.77 % 0.55/0.77 cnf(cls_Message_OMPair__analz_0,axiom, % 0.55/0.77 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.55/0.77 | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.55/0.77 % 0.55/0.77 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom, % 0.55/0.77 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.55/0.77 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.55/0.77 % 0.55/0.77 cnf(cls_OtwayRees_OCrypt__imp__OR2__dest_0,axiom, % 0.55/0.78 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 0.55/0.78 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.55/0.78 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 0.55/0.78 | c_in(c_Event_Oevent_OSays(V_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(v_sko__u__1(V_A,V_B,V_NA,V_NB,V_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.55/0.78 % 0.55/0.78 cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom, % 0.55/0.78 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 0.55/0.78 | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.55/0.78 | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.55/0.78 % 0.55/0.78 cnf(cls_conjecture_0,negated_conjecture, % 0.55/0.78 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ). % 0.55/0.78 % 0.55/0.78 cnf(cls_conjecture_1,negated_conjecture, % 0.55/0.78 c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 0.55/0.78 % 0.55/0.78 cnf(cls_conjecture_10,negated_conjecture, % 0.55/0.78 v_NB = c_Message_Omsg_ONonce(v_NBa) ). % 0.55/0.78 % 0.55/0.78 cnf(cls_conjecture_12,negated_conjecture, % 0.55/0.78 ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(V_U,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ). % 0.55/0.78 % 0.55/0.78 cnf(cls_conjecture_3,negated_conjecture, % 0.55/0.78 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ). % 0.55/0.78 % 0.55/0.78 cnf(cls_conjecture_4,negated_conjecture, % 0.55/0.78 v_B = v_Ba ). % 0.55/0.78 % 0.55/0.78 cnf(cls_conjecture_5,negated_conjecture, % 0.55/0.78 v_NA = c_Message_Omsg_ONonce(v_NAa) ). % 0.55/0.78 % 0.55/0.78 %------------------------------------------------------------------------------ % 0.55/0.78 %------------------------------------------- % 0.55/0.78 % Proof found % 0.55/0.78 % SZS status Theorem for theBenchmark % 0.55/0.78 % SZS output start Proof % 0.55/0.78 %ClaNum:45(EqnAxiom:33) % 0.55/0.78 %VarNum:49(SingletonVarNum:18) % 0.55/0.78 %MaxLitNum:4 % 0.55/0.78 %MaxfuncDepth:10 % 0.55/0.78 %SharedTerms:40 % 0.55/0.78 %goalClause: 34 35 36 37 38 39 40 % 0.55/0.78 %singleGoalClaCount:7 % 0.55/0.78 [34]E(a1,a2) % 0.55/0.78 [39]~P1(a2,a6,a21) % 0.55/0.78 [35]E(f3(a23),a24) % 0.55/0.78 [36]E(f3(a25),a26) % 0.55/0.78 [37]P1(a27,a15,f19(a17)) % 0.55/0.78 [38]P1(f5(a4,f13(f3(a25),f13(f10(a20),f13(f10(a1),f13(f14(f18(a20),f13(f3(a25),f13(f10(a20),f10(a1)))),f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1)))))))))),f7(a27,a17),a17) % 0.55/0.78 [40]~P1(f8(a1,a4,f13(f3(a25),f13(f10(a20),f13(f10(a1),f13(x401,f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1)))))))))),f7(a27,a17),a17) % 0.55/0.78 [41]~P1(x411,f11(x412),a22)+P1(x411,f16(x412),a22) % 0.55/0.78 [42]P1(x421,f11(x422),a22)+~P1(f13(x423,x421),f11(x422),a22) % 0.55/0.78 [43]~P1(f8(x433,x434,x431),f7(x432,a17),a17)+P1(x431,f11(f9(a12,x432)),a22) % 0.55/0.78 [44]~P1(f5(x441,x442),f7(x443,a17),a17)+~P1(x443,a15,f19(a17))+P1(f8(f28(x441,x442,x443),x441,x442),f7(x443,a17),a17) % 0.55/0.78 [45]P1(x451,a6,a21)+~P1(x455,a15,f19(a17))+~P1(f14(f18(x451),f13(x452,f13(x454,f13(f10(x453),f10(x451))))),f16(f9(a12,x455)),a22)+P1(f8(x451,a4,f13(x452,f13(f10(x453),f13(f10(x451),f13(f29(x453,x451,x452,x454,x455),f14(f18(x451),f13(x452,f13(x454,f13(f10(x453),f10(x451)))))))))),f7(x455,a17),a17) % 0.55/0.78 %EqnAxiom % 0.55/0.78 [1]E(x11,x11) % 0.55/0.78 [2]E(x22,x21)+~E(x21,x22) % 0.55/0.78 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.55/0.78 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.55/0.78 [5]~E(x51,x52)+E(f16(x51),f16(x52)) % 0.55/0.78 [6]~E(x61,x62)+E(f19(x61),f19(x62)) % 0.55/0.78 [7]~E(x71,x72)+E(f9(x71,x73),f9(x72,x73)) % 0.55/0.78 [8]~E(x81,x82)+E(f9(x83,x81),f9(x83,x82)) % 0.55/0.78 [9]~E(x91,x92)+E(f10(x91),f10(x92)) % 0.55/0.78 [10]~E(x101,x102)+E(f13(x101,x103),f13(x102,x103)) % 0.55/0.78 [11]~E(x111,x112)+E(f13(x113,x111),f13(x113,x112)) % 0.55/0.78 [12]~E(x121,x122)+E(f18(x121),f18(x122)) % 0.55/0.78 [13]~E(x131,x132)+E(f14(x131,x133),f14(x132,x133)) % 0.55/0.78 [14]~E(x141,x142)+E(f14(x143,x141),f14(x143,x142)) % 0.55/0.78 [15]~E(x151,x152)+E(f5(x151,x153),f5(x152,x153)) % 0.55/0.78 [16]~E(x161,x162)+E(f5(x163,x161),f5(x163,x162)) % 0.55/0.78 [17]~E(x171,x172)+E(f7(x171,x173),f7(x172,x173)) % 0.55/0.78 [18]~E(x181,x182)+E(f7(x183,x181),f7(x183,x182)) % 0.55/0.78 [19]~E(x191,x192)+E(f11(x191),f11(x192)) % 0.55/0.78 [20]~E(x201,x202)+E(f8(x201,x203,x204),f8(x202,x203,x204)) % 0.55/0.78 [21]~E(x211,x212)+E(f8(x213,x211,x214),f8(x213,x212,x214)) % 0.55/0.78 [22]~E(x221,x222)+E(f8(x223,x224,x221),f8(x223,x224,x222)) % 0.55/0.78 [23]~E(x231,x232)+E(f28(x231,x233,x234),f28(x232,x233,x234)) % 0.55/0.78 [24]~E(x241,x242)+E(f28(x243,x241,x244),f28(x243,x242,x244)) % 0.55/0.78 [25]~E(x251,x252)+E(f28(x253,x254,x251),f28(x253,x254,x252)) % 0.55/0.78 [26]~E(x261,x262)+E(f29(x261,x263,x264,x265,x266),f29(x262,x263,x264,x265,x266)) % 0.55/0.78 [27]~E(x271,x272)+E(f29(x273,x271,x274,x275,x276),f29(x273,x272,x274,x275,x276)) % 0.55/0.78 [28]~E(x281,x282)+E(f29(x283,x284,x281,x285,x286),f29(x283,x284,x282,x285,x286)) % 0.55/0.78 [29]~E(x291,x292)+E(f29(x293,x294,x295,x291,x296),f29(x293,x294,x295,x292,x296)) % 0.55/0.78 [30]~E(x301,x302)+E(f29(x303,x304,x305,x306,x301),f29(x303,x304,x305,x306,x302)) % 0.55/0.78 [31]P1(x312,x313,x314)+~E(x311,x312)+~P1(x311,x313,x314) % 0.55/0.78 [32]P1(x323,x322,x324)+~E(x321,x322)+~P1(x323,x321,x324) % 0.55/0.78 [33]P1(x333,x334,x332)+~E(x331,x332)+~P1(x333,x334,x331) % 0.55/0.78 % 0.55/0.78 %------------------------------------------- % 0.55/0.78 cnf(59,plain, % 0.55/0.78 (P1(a1,a6,a21)+~P1(f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1))))),f16(f9(a12,a27)),a22)), % 0.55/0.78 inference(scs_inference,[],[37,40,45])). % 0.55/0.78 cnf(100,plain, % 0.55/0.78 (P1(x1001,f16(x1002),a22)+~P1(f13(x1003,x1001),f11(x1002),a22)), % 0.55/0.78 inference(scs_inference,[],[42,41])). % 0.55/0.78 cnf(105,plain, % 0.55/0.78 (P1(a1,a6,a21)+~P1(f13(x1051,f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1)))))),f11(f9(a12,a27)),a22)), % 0.55/0.78 inference(scs_inference,[],[100,59])). % 0.55/0.78 cnf(114,plain, % 0.55/0.78 (P1(f13(f3(a25),f13(f10(a20),f13(f10(a1),f13(f14(f18(a20),f13(f3(a25),f13(f10(a20),f10(a1)))),f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1))))))))),f11(f9(a12,a27)),a22)), % 0.55/0.78 inference(scs_inference,[],[37,38,43,44])). % 0.55/0.78 cnf(125,plain, % 0.55/0.78 (~P1(f13(x1251,f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1)))))),f11(f9(a12,a27)),a22)), % 0.55/0.78 inference(scs_inference,[],[39,34,105,31])). % 0.55/0.78 cnf(126,plain, % 0.55/0.78 (~P1(f13(x1261,f13(x1262,f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1))))))),f11(f9(a12,a27)),a22)), % 0.55/0.78 inference(scs_inference,[],[125,42])). % 0.55/0.78 cnf(137,plain, % 0.55/0.78 (~P1(f13(x1371,f13(x1372,f13(x1373,f14(f18(a1),f13(f3(a25),f13(f3(a23),f13(f10(a20),f10(a1)))))))),f11(f9(a12,a27)),a22)), % 0.55/0.78 inference(scs_inference,[],[126,42])). % 0.55/0.78 cnf(143,plain, % 0.55/0.78 ($false), % 0.55/0.78 inference(scs_inference,[],[114,137,42]), % 0.55/0.78 ['proof']). % 0.55/0.78 % SZS output end Proof % 0.55/0.78 % Total time :0.140000s %------------------------------------------------------------------------------