%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV288-2 : 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 : n022.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 16:46:31 EDT 2024 % Result : Unsatisfiable 0.54s 0.63s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV288-2 : 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 % 0.12/0.34 % Computer : n022.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 14:09:38 EDT 2024 % 0.12/0.34 % CPUTime : % 0.54/0.58 start to proof:theBenchmark % 0.54/0.62 %------------------------------------------- % 0.54/0.62 % File :CSE---1.7 % 0.54/0.62 % Problem :theBenchmark % 0.54/0.62 % Transform :cnf % 0.54/0.62 % Format :tptp:raw % 0.54/0.62 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.62 % 0.54/0.62 % Result :Theorem 0.000000s % 0.54/0.62 % Output :CNFRefutation 0.000000s % 0.54/0.62 %------------------------------------------- % 0.54/0.62 %------------------------------------------------------------------------------ % 0.54/0.62 % File : SWV288-2 : TPTP v8.2.0. Released v3.2.0. % 0.54/0.62 % Domain : Software Verification (Security) % 0.54/0.62 % Problem : Cryptographic protocol problem for Otway Rees % 0.54/0.62 % Version : [Pau06] axioms : Reduced > Especial. % 0.54/0.62 % English : % 0.54/0.62 % 0.54/0.62 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.54/0.62 % Source : [Pau06] % 0.54/0.62 % Names : % 0.54/0.62 % 0.54/0.62 % Status : Unsatisfiable % 0.54/0.62 % Rating : 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.38 v6.3.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.0, 0.14 v3.4.0, 0.00 v3.2.0 % 0.54/0.62 % Syntax : Number of clauses : 9 ( 5 unt; 1 nHn; 9 RR) % 0.54/0.62 % Number of literals : 16 ( 0 equ; 8 neg) % 0.54/0.62 % Maximal clause size : 5 ( 1 avg) % 0.54/0.62 % Maximal term depth : 9 ( 2 avg) % 0.54/0.62 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.54/0.62 % Number of functors : 25 ( 25 usr; 13 con; 0-5 aty) % 0.54/0.62 % Number of variables : 15 ( 4 sgn) % 0.54/0.62 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.54/0.62 % 0.54/0.62 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.54/0.62 % of which only a small selection are required for the refutation. % 0.54/0.62 % The mission is to find those few axioms, after which a refutation % 0.54/0.62 % can be quite easily found. This version has only the necessary % 0.54/0.62 % axioms. % 0.54/0.62 %------------------------------------------------------------------------------ % 0.54/0.62 cnf(cls_conjecture_0,negated_conjecture, % 0.54/0.62 c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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) ). % 0.54/0.62 % 0.54/0.62 cnf(cls_conjecture_1,negated_conjecture, % 0.54/0.62 c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ). % 0.54/0.62 % 0.54/0.62 cnf(cls_conjecture_2,negated_conjecture, % 0.54/0.62 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 0.54/0.62 % 0.54/0.62 cnf(cls_conjecture_3,negated_conjecture, % 0.54/0.62 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 0.54/0.62 % 0.54/0.62 cnf(cls_conjecture_4,negated_conjecture, % 0.54/0.62 ~ 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_U,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ). % 0.54/0.62 % 0.54/0.62 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom, % 0.54/0.62 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.54/0.62 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 0.54/0.62 % 0.54/0.62 cnf(cls_Message_OMPair__parts_0,axiom, % 0.54/0.62 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) % 0.54/0.62 | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.54/0.62 % 0.54/0.62 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom, % 0.54/0.63 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.54/0.63 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.54/0.63 % 0.54/0.63 cnf(cls_OtwayRees_ONA__Crypt__imp__Server__msg_0,axiom, % 0.54/0.63 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 0.54/0.63 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,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_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,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) % 0.54/0.63 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.54/0.63 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.54/0.63 | 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_sko__u7f(V_A,V_B,V_K,V_NA,V_evs),c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.54/0.63 % 0.54/0.63 %------------------------------------------------------------------------------ % 0.54/0.63 %------------------------------------------- % 0.54/0.63 % Proof found % 0.54/0.63 % SZS status Theorem for theBenchmark % 0.54/0.63 % SZS output start Proof % 0.54/0.63 %ClaNum:9(EqnAxiom:0) % 0.54/0.63 %VarNum:45(SingletonVarNum:15) % 0.54/0.63 %MaxLitNum:5 % 0.54/0.63 %MaxfuncDepth:8 % 0.54/0.63 %SharedTerms:35 % 0.54/0.63 %goalClause: 1 2 3 4 5 % 0.54/0.63 %singleGoalClaCount:5 % 0.54/0.63 [4]~P1(a19,a6,a20) % 0.54/0.63 [1]P1(a1,a2,f17(a15)) % 0.54/0.63 [2]P1(f5(a18,a19,f13(a23,f4(f16(a19),f13(a23,f3(a24))))),f7(a1,a15),a15) % 0.54/0.63 [3]P1(f5(a19,a22,f13(a23,f13(f9(a19),f13(f9(a22),f4(f16(a19),f13(a23,f13(f9(a19),f9(a22)))))))),f7(a1,a15),a15) % 0.54/0.63 [5]~P1(f5(a10,a22,f13(a23,f13(f4(f16(a19),f13(a23,f3(a24))),f4(f16(a22),f13(x51,f3(a24)))))),f7(a1,a15),a15) % 0.54/0.63 [6]~P1(x61,f11(x62),a21)+P1(x61,f14(x62),a21) % 0.54/0.63 [7]P1(x71,f14(x72),a21)+~P1(f13(x73,x71),f14(x72),a21) % 0.54/0.63 [8]~P1(f5(x83,x84,x81),f7(x82,a15),a15)+P1(x81,f11(f8(a12,x82)),a21) % 0.54/0.63 [9]P1(x91,a6,a20)+~P1(x95,a2,f17(a15))+~P1(f4(f16(x91),f13(x93,f3(x94))),f14(f8(a12,x95)),a21)+P1(f5(a10,x92,f13(x93,f13(f4(f16(x91),f13(x93,f3(x94))),f4(f16(x92),f13(f25(x91,x92,x94,x93,x95),f3(x94)))))),f7(x95,a15),a15)+~P1(f5(x91,x92,f13(x93,f13(f9(x91),f13(f9(x92),f4(f16(x91),f13(x93,f13(f9(x91),f9(x92)))))))),f7(x95,a15),a15) % 0.54/0.63 %EqnAxiom % 0.54/0.63 % 0.54/0.63 %------------------------------------------- % 0.54/0.63 cnf(15,plain, % 0.54/0.63 (~P1(f13(x151,f4(f16(a19),f13(a23,f3(a24)))),f14(f8(a12,a1)),a21)), % 0.54/0.63 inference(scs_inference,[],[1,4,5,3,9,6,7])). % 0.54/0.63 cnf(19,plain, % 0.54/0.63 (~P1(f13(x191,f4(f16(a19),f13(a23,f3(a24)))),f11(f8(a12,a1)),a21)), % 0.54/0.63 inference(scs_inference,[],[15,6])). % 0.54/0.63 cnf(25,plain, % 0.54/0.63 ($false), % 0.54/0.63 inference(scs_inference,[],[2,19,8]), % 0.54/0.63 ['proof']). % 0.54/0.63 % SZS output end Proof % 0.54/0.63 % Total time :0.000000s %------------------------------------------------------------------------------