%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV344-2 : 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 : n027.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 16:46:51 EDT 2024 % Result : Unsatisfiable 14.79s 14.89s % Output : CNFRefutation 14.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.09 % Problem : SWV344-2 : TPTP v8.2.0. Released v3.2.0. % 0.04/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.08/0.29 % Computer : n027.cluster.edu % 0.08/0.29 % Model : x86_64 x86_64 % 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.29 % Memory : 8042.1875MB % 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.29 % CPULimit : 300 % 0.08/0.29 % WCLimit : 300 % 0.08/0.29 % DateTime : Thu Jun 20 14:51:08 EDT 2024 % 0.08/0.29 % CPUTime : % 0.15/0.53 start to proof:theBenchmark % 14.79/14.88 %------------------------------------------- % 14.79/14.88 % File :CSE---1.7 % 14.79/14.88 % Problem :theBenchmark % 14.79/14.88 % Transform :cnf % 14.79/14.88 % Format :tptp:raw % 14.79/14.88 % Command :java -jar mcs_scs.jar %d %s % 14.79/14.88 % 14.79/14.88 % Result :Theorem 14.320000s % 14.79/14.88 % Output :CNFRefutation 14.320000s % 14.79/14.88 %------------------------------------------- % 14.79/14.89 %------------------------------------------------------------------------------ % 14.79/14.89 % File : SWV344-2 : TPTP v8.2.0. Released v3.2.0. % 14.79/14.89 % Domain : Software Verification (Security) % 14.79/14.89 % Problem : Cryptographic protocol problem for Yahalom % 14.79/14.89 % Version : [Pau06] axioms : Reduced > Especial. % 14.79/14.89 % English : % 14.79/14.89 % 14.79/14.89 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 14.79/14.89 % Source : [Pau06] % 14.79/14.89 % Names : % 14.79/14.89 % 14.79/14.89 % Status : Unsatisfiable % 14.79/14.89 % Rating : 0.00 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.25 v5.2.0, 0.00 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.14 v3.2.0 % 14.79/14.89 % Syntax : Number of clauses : 9 ( 3 unt; 0 nHn; 8 RR) % 14.79/14.89 % Number of literals : 15 ( 1 equ; 7 neg) % 14.79/14.89 % Maximal clause size : 2 ( 1 avg) % 14.79/14.89 % Maximal term depth : 7 ( 2 avg) % 14.79/14.89 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty) % 14.79/14.89 % Number of functors : 21 ( 21 usr; 10 con; 0-3 aty) % 14.79/14.89 % Number of variables : 18 ( 5 sgn) % 14.79/14.89 % SPC : CNF_UNS_RFO_SEQ_HRN % 14.79/14.89 % 14.79/14.89 % Comments : The problems in the [Pau06] collection each have very many axioms, % 14.79/14.89 % of which only a small selection are required for the refutation. % 14.79/14.89 % The mission is to find those few axioms, after which a refutation % 14.79/14.89 % can be quite easily found. This version has only the necessary % 14.79/14.89 % axioms. % 14.79/14.89 %------------------------------------------------------------------------------ % 14.79/14.89 cnf(cls_conjecture_3,negated_conjecture, % 14.79/14.89 ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ). % 14.79/14.89 % 14.79/14.89 cnf(cls_conjecture_9,negated_conjecture, % 14.79/14.89 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ). % 14.79/14.89 % 14.79/14.89 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom, % 14.79/14.89 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 14.79/14.89 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 14.79/14.89 % 14.79/14.89 cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom, % 14.79/14.89 ( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 14.79/14.89 | c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ) ). % 14.79/14.89 % 14.79/14.89 cnf(cls_Message_OMPair__analz_0,axiom, % 14.79/14.89 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) % 14.79/14.89 | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 14.79/14.89 % 14.79/14.89 cnf(cls_Message_OMPair__parts_0,axiom, % 14.79/14.89 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) % 14.79/14.89 | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 14.79/14.89 % 14.79/14.89 cnf(cls_Message_Oparts_OBody__dest_0,axiom, % 14.79/14.89 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) % 14.79/14.89 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 14.79/14.89 % 14.79/14.89 cnf(cls_Message_Oparts_OInj_0,axiom, % 14.79/14.89 ( ~ c_in(V_X,V_H,tc_Message_Omsg) % 14.79/14.89 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 14.79/14.89 % 14.79/14.89 cnf(cls_Message_Oparts__analz_0,axiom, % 14.79/14.89 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ). % 14.79/14.89 % 14.79/14.89 %------------------------------------------------------------------------------ % 14.79/14.89 %------------------------------------------- % 14.79/14.89 % Proof found % 14.79/14.89 % SZS status Theorem for theBenchmark % 14.79/14.89 % SZS output start Proof % 14.79/14.89 %ClaNum:32(EqnAxiom:23) % 14.79/14.89 %VarNum:31(SingletonVarNum:18) % 14.79/14.89 %MaxLitNum:2 % 14.79/14.89 %MaxfuncDepth:5 % 14.79/14.89 %SharedTerms:27 % 14.79/14.89 %goalClause: 25 26 % 14.79/14.89 %singleGoalClaCount:2 % 14.79/14.89 [26]~P1(f10(a18),f5(a20),a16) % 14.79/14.89 [25]P1(f3(a2,a13,f12(f11(f14(a13),f12(f9(a17),f12(f10(a18),f12(a19,a21)))),f11(f14(a17),f12(f9(a13),f10(a18))))),f4(a20,a15),a15) % 14.79/14.89 [24]E(f8(f1(x241)),f8(x241)) % 14.79/14.89 [27]~P1(x271,x272,a16)+P1(x271,f8(x272),a16) % 14.79/14.89 [31]P1(x311,f5(x312),a16)+~P1(x311,f8(f6(a7,x312)),a16) % 14.79/14.89 [28]P1(x281,f1(x282),a16)+~P1(f12(x283,x281),f1(x282),a16) % 14.79/14.89 [29]P1(x291,f8(x292),a16)+~P1(f12(x293,x291),f8(x292),a16) % 14.79/14.89 [30]P1(x301,f8(x302),a16)+~P1(f11(x303,x301),f8(x302),a16) % 14.79/14.89 [32]~P1(f3(x323,x324,x321),f4(x322,a15),a15)+P1(x321,f1(f6(a7,x322)),a16) % 14.79/14.89 %EqnAxiom % 14.79/14.89 [1]E(x11,x11) % 14.79/14.89 [2]E(x22,x21)+~E(x21,x22) % 14.79/14.89 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 14.79/14.89 [4]~E(x41,x42)+E(f1(x41),f1(x42)) % 14.79/14.89 [5]~E(x51,x52)+E(f8(x51),f8(x52)) % 14.79/14.89 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63)) % 14.79/14.89 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72)) % 14.79/14.89 [8]~E(x81,x82)+E(f14(x81),f14(x82)) % 14.79/14.89 [9]~E(x91,x92)+E(f9(x91),f9(x92)) % 14.79/14.89 [10]~E(x101,x102)+E(f10(x101),f10(x102)) % 14.79/14.89 [11]~E(x111,x112)+E(f12(x111,x113),f12(x112,x113)) % 14.79/14.89 [12]~E(x121,x122)+E(f12(x123,x121),f12(x123,x122)) % 14.79/14.89 [13]~E(x131,x132)+E(f4(x131,x133),f4(x132,x133)) % 14.79/14.89 [14]~E(x141,x142)+E(f4(x143,x141),f4(x143,x142)) % 14.79/14.89 [15]~E(x151,x152)+E(f11(x151,x153),f11(x152,x153)) % 14.79/14.89 [16]~E(x161,x162)+E(f11(x163,x161),f11(x163,x162)) % 14.79/14.89 [17]~E(x171,x172)+E(f3(x171,x173,x174),f3(x172,x173,x174)) % 14.79/14.89 [18]~E(x181,x182)+E(f3(x183,x181,x184),f3(x183,x182,x184)) % 14.79/14.89 [19]~E(x191,x192)+E(f3(x193,x194,x191),f3(x193,x194,x192)) % 14.79/14.89 [20]~E(x201,x202)+E(f5(x201),f5(x202)) % 14.79/14.89 [21]P1(x212,x213,x214)+~E(x211,x212)+~P1(x211,x213,x214) % 14.79/14.89 [22]P1(x223,x222,x224)+~E(x221,x222)+~P1(x223,x221,x224) % 14.79/14.89 [23]P1(x233,x234,x232)+~E(x231,x232)+~P1(x233,x234,x231) % 14.79/14.89 % 14.79/14.89 %------------------------------------------- % 14.79/14.90 cnf(33,plain, % 14.79/14.90 (E(f8(x331),f8(f1(x331)))), % 14.79/14.90 inference(scs_inference,[],[24,2])). % 14.79/14.90 cnf(49,plain, % 14.79/14.90 (P1(f12(f11(f14(a13),f12(f9(a17),f12(f10(a18),f12(a19,a21)))),f11(f14(a17),f12(f9(a13),f10(a18)))),f8(f1(f6(a7,a20))),a16)), % 14.79/14.90 inference(scs_inference,[],[25,27,32])). % 14.79/14.90 cnf(50,plain, % 14.79/14.90 (P1(f12(f11(f14(a13),f12(f9(a17),f12(f10(a18),f12(a19,a21)))),f11(f14(a17),f12(f9(a13),f10(a18)))),f8(f6(a7,a20)),a16)), % 14.79/14.90 inference(scs_inference,[],[24,49,22])). % 14.79/14.90 cnf(57,plain, % 14.79/14.90 (E(f12(x571,f4(f8(f1(x572)),x573)),f12(x571,f4(f8(x572),x573)))), % 14.79/14.90 inference(scs_inference,[],[24,12,13])). % 14.79/14.90 cnf(76,plain, % 14.79/14.90 (E(f11(x761,f3(f8(x762),x763,x764)),f11(x761,f3(f8(f1(x762)),x763,x764)))), % 14.79/14.90 inference(scs_inference,[],[33,16,17])). % 14.79/14.90 cnf(78,plain, % 14.79/14.90 (E(f3(x781,f3(x782,x783,f8(x784)),x785),f3(x781,f3(x782,x783,f8(f1(x784))),x785))), % 14.79/14.90 inference(scs_inference,[],[33,18,19])). % 14.79/14.90 cnf(79,plain, % 14.79/14.90 (E(f3(x791,f3(x792,x793,f8(f1(x794))),x795),f3(x791,f3(x792,x793,f8(x794)),x795))), % 14.79/14.90 inference(scs_inference,[],[78,2])). % 14.79/14.90 cnf(81,plain, % 14.79/14.90 (P1(f12(f9(a13),f10(a18)),f8(f6(a7,a20)),a16)), % 14.79/14.90 inference(scs_inference,[],[50,29,30])). % 14.79/14.90 cnf(84,plain, % 14.79/14.90 (P1(f12(f9(a13),f10(a18)),f8(f1(f6(a7,a20))),a16)), % 14.79/14.90 inference(scs_inference,[],[33,81,31,22])). % 14.79/14.90 cnf(90,plain, % 14.79/14.90 (P1(f12(f9(a13),f10(a18)),f8(f1(f1(f6(a7,a20)))),a16)), % 14.79/14.90 inference(scs_inference,[],[33,84,22])). % 14.79/14.90 cnf(112,plain, % 14.79/14.90 (P1(x1121,f8(f1(f1(f6(a7,a20)))),x1122)+~E(a16,x1122)+~E(f12(f9(a13),f10(a18)),x1121)), % 14.79/14.90 inference(scs_inference,[],[90,23,21])). % 14.79/14.90 cnf(200,plain, % 14.79/14.90 (E(f8(f8(x2001)),f8(f8(f1(x2001))))), % 14.79/14.90 inference(scs_inference,[],[24,2,5])). % 14.79/14.90 cnf(201,plain, % 14.79/14.90 (E(f8(f8(f1(x2011))),f8(f8(x2011)))), % 14.79/14.90 inference(scs_inference,[],[200,2])). % 14.79/14.90 cnf(202,plain, % 14.79/14.90 (E(f8(f1(f8(x2021))),f8(f8(f1(x2021))))), % 14.79/14.90 inference(scs_inference,[],[24,200,2,3])). % 14.79/14.90 cnf(212,plain, % 14.79/14.90 (E(f8(f1(f8(f1(x2121)))),f8(f8(x2121)))), % 14.79/14.90 inference(scs_inference,[],[24,201,202,2,3])). % 14.79/14.90 cnf(286,plain, % 14.79/14.90 (E(f6(f12(x2861,f4(f8(x2862),x2863)),x2864),f6(f12(x2861,f4(f8(f1(x2862)),x2863)),x2864))), % 14.79/14.90 inference(scs_inference,[],[57,2,6])). % 14.79/14.90 cnf(287,plain, % 14.79/14.90 (E(f6(f12(x2871,f4(f8(f1(x2872)),x2873)),x2874),f6(f12(x2871,f4(f8(x2872),x2873)),x2874))), % 14.79/14.90 inference(scs_inference,[],[286,2])). % 14.79/14.90 cnf(354,plain, % 14.79/14.90 (E(f11(f3(x3541,f3(x3542,x3543,f8(x3544)),x3545),x3546),f11(f3(x3541,f3(x3542,x3543,f8(f1(x3544))),x3545),x3546))), % 14.79/14.90 inference(scs_inference,[],[79,2,15])). % 14.79/14.90 cnf(355,plain, % 14.79/14.90 (E(f11(f3(x3551,f3(x3552,x3553,f8(f1(x3554))),x3555),x3556),f11(f3(x3551,f3(x3552,x3553,f8(x3554)),x3555),x3556))), % 14.79/14.90 inference(scs_inference,[],[354,2])). % 14.79/14.90 cnf(517,plain, % 14.79/14.90 (E(f8(f8(f8(x5171))),f8(f8(f1(f8(f1(x5171))))))), % 14.79/14.90 inference(scs_inference,[],[212,2,5])). % 14.79/14.90 cnf(527,plain, % 14.79/14.90 (E(f14(f8(f8(x5271))),f14(f8(f1(f8(f1(x5271))))))), % 14.79/14.90 inference(scs_inference,[],[212,2,8])). % 14.79/14.90 cnf(529,plain, % 14.79/14.90 (E(x5291,f14(f8(f1(f8(f1(x5292))))))+~E(x5291,f14(f8(f8(x5292))))), % 14.79/14.90 inference(scs_inference,[],[517,527,2,3])). % 14.79/14.90 cnf(731,plain, % 14.79/14.90 (E(f11(f8(x7311),x7312),f11(f8(f1(x7311)),x7312))), % 14.79/14.90 inference(scs_inference,[],[24,2,15])). % 14.79/14.90 cnf(736,plain, % 14.79/14.90 (E(f11(x7361,f8(x7362)),f11(x7361,f8(f1(x7362))))), % 14.79/14.90 inference(scs_inference,[],[24,2,16])). % 14.79/14.90 cnf(741,plain, % 14.79/14.90 (E(f3(f8(x7411),x7412,x7413),f3(f8(f1(x7411)),x7412,x7413))), % 14.79/14.90 inference(scs_inference,[],[24,2,17])). % 14.79/14.90 cnf(766,plain, % 14.79/14.90 (E(f6(x7661,f8(x7662)),f6(x7661,f8(f1(x7662))))), % 14.79/14.90 inference(scs_inference,[],[24,2,7])). % 14.79/14.90 cnf(771,plain, % 14.79/14.90 (E(f14(f8(x7711)),f14(f8(f1(x7711))))), % 14.79/14.90 inference(scs_inference,[],[24,2,8])). % 14.79/14.90 cnf(801,plain, % 14.79/14.90 (E(f6(x8011,f8(f1(x8012))),f6(x8011,f8(x8012)))), % 14.79/14.90 inference(scs_inference,[],[766,2])). % 14.79/14.90 cnf(805,plain, % 14.79/14.90 (E(f14(f8(f1(x8051))),f14(f8(x8051)))), % 14.79/14.90 inference(scs_inference,[],[771,2])). % 14.79/14.90 cnf(806,plain, % 14.79/14.90 (E(f6(f12(x8061,f4(f8(f1(x8062)),x8063)),f8(f1(x8064))),f6(f12(x8061,f4(f8(x8062),x8063)),f8(x8064)))), % 14.79/14.90 inference(scs_inference,[],[287,801,771,2,3])). % 14.79/14.90 cnf(809,plain, % 14.79/14.90 (E(f14(f8(f1(f8(x8091)))),f14(f8(f1(f8(f1(x8091))))))), % 14.79/14.90 inference(scs_inference,[],[287,801,771,2,3,529])). % 14.79/14.90 cnf(812,plain, % 14.79/14.90 (E(f14(f8(f8(x8121))),f14(f8(f8(f1(x8121)))))), % 14.79/14.90 inference(scs_inference,[],[527,805,806,2,3])). % 14.79/14.90 cnf(909,plain, % 14.79/14.90 (E(f11(f8(x9091),f3(f8(x9092),x9093,x9094)),f11(f8(f1(x9091)),f3(f8(f1(x9092)),x9093,x9094)))), % 14.79/14.90 inference(scs_inference,[],[76,812,731,2,3])). % 14.79/14.90 cnf(914,plain, % 14.79/14.90 (E(f11(f3(x9141,f3(x9142,x9143,f8(f1(x9144))),x9145),f8(x9146)),f11(f3(x9141,f3(x9142,x9143,f8(x9144)),x9145),f8(f1(x9146))))), % 14.79/14.90 inference(scs_inference,[],[355,909,736,2,3])). % 14.79/14.90 cnf(919,plain, % 14.79/14.90 (E(f11(f3(x9191,f3(x9192,x9193,f8(x9194)),x9195),f8(f1(x9196))),f11(f3(x9191,f3(x9192,x9193,f8(f1(x9194))),x9195),f8(x9196)))), % 14.79/14.90 inference(scs_inference,[],[914,2])). % 14.79/14.90 cnf(923,plain, % 14.79/14.90 (~E(x9231,a16)+P1(x9232,f8(f1(f1(f6(a7,a20)))),x9231)+~E(f12(f9(a13),f10(a18)),x9232)), % 14.79/14.90 inference(scs_inference,[],[2,112])). % 14.79/14.90 cnf(928,plain, % 14.79/14.90 (~E(f12(f9(a13),f10(a18)),f12(x9281,x9282))+P1(x9282,f8(f1(f1(f6(a7,a20)))),a16)), % 14.79/14.90 inference(scs_inference,[],[923,29])). % 14.79/14.90 cnf(929,plain, % 14.79/14.90 (P1(f10(a18),f8(f1(f1(f6(a7,a20)))),a16)), % 14.79/14.90 inference(equality_inference,[],[928])). % 14.79/14.90 cnf(931,plain, % 14.79/14.90 (P1(f10(a18),f8(f1(f6(a7,a20))),a16)), % 14.79/14.90 inference(scs_inference,[],[24,809,929,2,22])). % 14.79/14.90 cnf(933,plain, % 14.79/14.90 (E(f11(f3(x9331,f3(x9332,x9333,f8(x9334)),x9335),f8(f1(x9336))),f11(f3(x9331,f3(x9332,x9333,f8(f1(f1(x9334)))),x9335),f8(x9336)))), % 14.79/14.90 inference(scs_inference,[],[24,354,809,929,919,2,22,3])). % 14.79/14.90 cnf(947,plain, % 14.79/14.90 ($false), % 14.79/14.90 inference(scs_inference,[],[26,24,78,933,931,741,2,22,3,31]), % 14.79/14.90 ['proof']). % 14.79/14.90 % SZS output end Proof % 14.79/14.90 % Total time :14.320000s %------------------------------------------------------------------------------