%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV302-2 : 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 16:46:36 EDT 2024 % Result : Unsatisfiable 0.54s 0.69s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV302-2 : TPTP v8.2.0. Released v3.2.0. % 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n026.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 14:21:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.54/0.57 start to proof:theBenchmark % 0.54/0.68 %------------------------------------------- % 0.54/0.68 % File :CSE---1.7 % 0.54/0.68 % Problem :theBenchmark % 0.54/0.68 % Transform :cnf % 0.54/0.68 % Format :tptp:raw % 0.54/0.68 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.68 % 0.54/0.68 % Result :Theorem 0.040000s % 0.54/0.68 % Output :CNFRefutation 0.040000s % 0.54/0.68 %------------------------------------------- % 0.54/0.68 %------------------------------------------------------------------------------ % 0.54/0.68 % File : SWV302-2 : TPTP v8.2.0. Released v3.2.0. % 0.54/0.68 % Domain : Software Verification (Security) % 0.54/0.68 % Problem : Cryptographic protocol problem for Otway Rees % 0.54/0.68 % Version : [Pau06] axioms : Reduced > Especial. % 0.54/0.68 % English : % 0.54/0.68 % 0.54/0.68 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.54/0.68 % Source : [Pau06] % 0.54/0.68 % Names : % 0.54/0.68 % 0.54/0.68 % Status : Unsatisfiable % 0.54/0.68 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.06 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.00 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0 % 0.54/0.68 % Syntax : Number of clauses : 8 ( 3 unt; 1 nHn; 8 RR) % 0.54/0.68 % Number of literals : 14 ( 1 equ; 7 neg) % 0.54/0.68 % Maximal clause size : 3 ( 1 avg) % 0.54/0.68 % Maximal term depth : 11 ( 2 avg) % 0.54/0.68 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty) % 0.54/0.68 % Number of functors : 23 ( 23 usr; 12 con; 0-3 aty) % 0.54/0.68 % Number of variables : 9 ( 3 sgn) % 0.54/0.68 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.54/0.68 % 0.54/0.68 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.54/0.68 % of which only a small selection are required for the refutation. % 0.54/0.68 % The mission is to find those few axioms, after which a refutation % 0.54/0.68 % can be quite easily found. This version has only the necessary % 0.54/0.68 % axioms. % 0.54/0.69 %------------------------------------------------------------------------------ % 0.54/0.69 cnf(cls_conjecture_13,negated_conjecture, % 0.54/0.69 ( 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_x,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_evs2,tc_Event_Oevent),tc_Event_Oevent) % 0.54/0.69 | v_NB = c_Message_Omsg_ONonce(v_NBa) ) ). % 0.54/0.69 % 0.54/0.69 cnf(cls_conjecture_16,negated_conjecture, % 0.54/0.69 ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) % 0.54/0.69 | ~ 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_U,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_evs2,tc_Event_Oevent),tc_Event_Oevent) % 0.54/0.69 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ) ). % 0.54/0.69 % 0.54/0.69 cnf(cls_conjecture_2,negated_conjecture, % 0.54/0.69 ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg) ). % 0.54/0.69 % 0.54/0.69 cnf(cls_conjecture_4,negated_conjecture, % 0.54/0.69 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ). % 0.54/0.69 % 0.54/0.69 cnf(cls_conjecture_5,negated_conjecture, % 0.54/0.69 ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ). % 0.54/0.69 % 0.54/0.69 cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom, % 0.54/0.69 ( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.54/0.69 | c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ) ). % 0.54/0.69 % 0.54/0.69 cnf(cls_Message_OMPair__parts_1,axiom, % 0.54/0.69 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) % 0.54/0.69 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.54/0.69 % 0.54/0.69 cnf(cls_Message_Oparts_OBody__dest_0,axiom, % 0.54/0.69 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) % 0.54/0.69 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.54/0.69 % 0.54/0.69 %------------------------------------------------------------------------------ % 0.54/0.69 %------------------------------------------- % 0.54/0.69 % Proof found % 0.54/0.69 % SZS status Theorem for theBenchmark % 0.54/0.69 % SZS output start Proof % 0.54/0.69 %ClaNum:31(EqnAxiom:23) % 0.54/0.69 %VarNum:15(SingletonVarNum:9) % 0.54/0.69 %MaxLitNum:3 % 0.54/0.69 %MaxfuncDepth:10 % 0.54/0.69 %SharedTerms:45 % 0.54/0.69 %goalClause: 24 25 26 30 31 % 0.54/0.69 %singleGoalClaCount:3 % 0.54/0.69 [25]~P1(f14(a22),f8(a21),a15) % 0.54/0.69 [24]P1(f4(f2(a1),f12(a18,f3(a19))),f13(f6(a5,a21)),a15) % 0.54/0.69 [26]~P1(f7(a9,a1,f12(a20,f12(f4(f2(a17),f12(a20,f3(a19))),f4(f2(a1),f12(a18,f3(a19)))))),f10(a21,a16),a16) % 0.54/0.69 [30]E(f14(a22),a18)+P1(f7(a1,a9,f12(a20,f12(f11(a17),f12(f11(a1),f12(a23,f4(f2(a1),f12(a20,f12(a18,f12(f11(a17),f11(a1)))))))))),f10(a21,a16),a16) % 0.54/0.69 [29]P1(x291,f8(x292),a15)+~P1(x291,f13(f6(a5,x292)),a15) % 0.54/0.69 [27]P1(x271,f13(x272),a15)+~P1(f4(x273,x271),f13(x272),a15) % 0.54/0.69 [28]P1(x281,f13(x282),a15)+~P1(f12(x281,x283),f13(x282),a15) % 0.54/0.69 [31]~P1(f4(f2(a1),f12(a18,f3(a19))),f13(f6(a5,a21)),a15)+P1(f7(a9,a1,f12(a20,f12(f4(f2(a17),f12(a20,f3(a19))),f4(f2(a1),f12(a18,f3(a19)))))),f10(a21,a16),a16)+~P1(f7(a1,a9,f12(a20,f12(f11(a17),f12(f11(a1),f12(x311,f4(f2(a1),f12(a20,f12(a18,f12(f11(a17),f11(a1)))))))))),f10(a21,a16),a16) % 0.54/0.69 %EqnAxiom % 0.54/0.69 [1]E(x11,x11) % 0.54/0.69 [2]E(x22,x21)+~E(x21,x22) % 0.54/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.54/0.69 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.54/0.69 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 0.54/0.69 [6]~E(x61,x62)+E(f12(x61,x63),f12(x62,x63)) % 0.54/0.69 [7]~E(x71,x72)+E(f12(x73,x71),f12(x73,x72)) % 0.54/0.69 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83)) % 0.54/0.69 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92)) % 0.54/0.69 [10]~E(x101,x102)+E(f6(x101,x103),f6(x102,x103)) % 0.54/0.69 [11]~E(x111,x112)+E(f6(x113,x111),f6(x113,x112)) % 0.54/0.69 [12]~E(x121,x122)+E(f13(x121),f13(x122)) % 0.54/0.69 [13]~E(x131,x132)+E(f14(x131),f14(x132)) % 0.54/0.69 [14]~E(x141,x142)+E(f8(x141),f8(x142)) % 0.54/0.69 [15]~E(x151,x152)+E(f10(x151,x153),f10(x152,x153)) % 0.54/0.69 [16]~E(x161,x162)+E(f10(x163,x161),f10(x163,x162)) % 0.54/0.69 [17]~E(x171,x172)+E(f7(x171,x173,x174),f7(x172,x173,x174)) % 0.54/0.69 [18]~E(x181,x182)+E(f7(x183,x181,x184),f7(x183,x182,x184)) % 0.54/0.69 [19]~E(x191,x192)+E(f7(x193,x194,x191),f7(x193,x194,x192)) % 0.54/0.69 [20]~E(x201,x202)+E(f11(x201),f11(x202)) % 0.54/0.69 [21]P1(x212,x213,x214)+~E(x211,x212)+~P1(x211,x213,x214) % 0.54/0.69 [22]P1(x223,x222,x224)+~E(x221,x222)+~P1(x223,x221,x224) % 0.54/0.69 [23]P1(x233,x234,x232)+~E(x231,x232)+~P1(x233,x234,x231) % 0.54/0.69 % 0.54/0.69 %------------------------------------------- % 0.54/0.69 cnf(39,plain, % 0.54/0.69 (~P1(f7(a1,a9,f12(a20,f12(f11(a17),f12(f11(a1),f12(x391,f4(f2(a1),f12(a20,f12(a18,f12(f11(a17),f11(a1)))))))))),f10(a21,a16),a16)), % 0.54/0.69 inference(scs_inference,[],[26,24,31])). % 0.54/0.69 cnf(46,plain, % 0.54/0.69 (E(f14(a22),a18)), % 0.54/0.69 inference(scs_inference,[],[39,30])). % 0.54/0.69 cnf(47,plain, % 0.54/0.69 (E(a18,f14(a22))), % 0.54/0.69 inference(scs_inference,[],[46,2])). % 0.54/0.69 cnf(67,plain, % 0.54/0.69 (P1(a18,f13(f6(a5,a21)),a15)), % 0.54/0.69 inference(scs_inference,[],[24,27,28])). % 0.54/0.69 cnf(70,plain, % 0.54/0.69 (P1(f14(a22),f13(f6(a5,a21)),a15)), % 0.54/0.69 inference(scs_inference,[],[47,67,29,21])). % 0.54/0.69 cnf(75,plain, % 0.54/0.69 ($false), % 0.54/0.69 inference(scs_inference,[],[25,70,29]), % 0.54/0.69 ['proof']). % 0.54/0.69 % SZS output end Proof % 0.54/0.69 % Total time :0.040000s 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