%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV287-2 : 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 16:46:30 EDT 2024 % Result : Unsatisfiable 0.59s 0.65s % Output : CNFRefutation 0.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SWV287-2 : TPTP v8.2.0. Released v3.2.0. % 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n020.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Jun 20 18:41:09 EDT 2024 % 0.13/0.34 % CPUTime : % 0.55/0.61 start to proof:theBenchmark % 0.59/0.65 %------------------------------------------- % 0.59/0.65 % File :CSE---1.7 % 0.59/0.65 % Problem :theBenchmark % 0.59/0.65 % Transform :cnf % 0.59/0.65 % Format :tptp:raw % 0.59/0.65 % Command :java -jar mcs_scs.jar %d %s % 0.59/0.65 % 0.59/0.65 % Result :Theorem 0.000000s % 0.59/0.65 % Output :CNFRefutation 0.000000s % 0.59/0.65 %------------------------------------------- % 0.59/0.65 %------------------------------------------------------------------------------ % 0.59/0.65 % File : SWV287-2 : TPTP v8.2.0. Released v3.2.0. % 0.59/0.65 % Domain : Software Verification (Security) % 0.59/0.65 % Problem : Cryptographic protocol problem for Otway Rees % 0.59/0.65 % Version : [Pau06] axioms : Reduced > Especial. % 0.59/0.65 % English : % 0.59/0.65 % 0.59/0.65 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.59/0.65 % Source : [Pau06] % 0.59/0.65 % Names : % 0.59/0.65 % 0.59/0.65 % Status : Unsatisfiable % 0.59/0.65 % Rating : 0.08 v8.2.0, 0.00 v7.0.0, 0.12 v6.4.0, 0.25 v6.3.0, 0.29 v6.2.0, 0.11 v6.1.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.00 v3.2.0 % 0.59/0.65 % Syntax : Number of clauses : 9 ( 7 unt; 2 nHn; 9 RR) % 0.59/0.65 % Number of literals : 18 ( 0 equ; 9 neg) % 0.59/0.65 % Maximal clause size : 6 ( 2 avg) % 0.59/0.65 % Maximal term depth : 9 ( 2 avg) % 0.59/0.65 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.59/0.65 % Number of functors : 25 ( 25 usr; 13 con; 0-5 aty) % 0.59/0.65 % Number of variables : 13 ( 2 sgn) % 0.59/0.65 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.59/0.65 % 0.59/0.65 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.59/0.65 % of which only a small selection are required for the refutation. % 0.59/0.65 % The mission is to find those few axioms, after which a refutation % 0.59/0.65 % can be quite easily found. This version has only the necessary % 0.59/0.65 % axioms. % 0.59/0.65 %------------------------------------------------------------------------------ % 0.59/0.65 cnf(cls_conjecture_0,negated_conjecture, % 0.59/0.65 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) ). % 0.59/0.65 % 0.59/0.65 cnf(cls_conjecture_1,negated_conjecture, % 0.59/0.65 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) ). % 0.59/0.65 % 0.59/0.65 cnf(cls_conjecture_2,negated_conjecture, % 0.59/0.65 ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(V_U,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ). % 0.59/0.65 % 0.59/0.65 cnf(cls_conjecture_3,negated_conjecture, % 0.59/0.65 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 0.59/0.65 % 0.59/0.65 cnf(cls_conjecture_4,negated_conjecture, % 0.59/0.65 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ). % 0.59/0.65 % 0.59/0.65 cnf(cls_conjecture_5,negated_conjecture, % 0.59/0.65 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 0.59/0.65 % 0.59/0.65 cnf(cls_conjecture_6,negated_conjecture, % 0.59/0.65 c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ). % 0.59/0.65 % 0.59/0.65 cnf(cls_OtwayRees_OA__trusts__OR4__dest_0,axiom, % 0.59/0.65 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 0.59/0.65 | ~ 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) % 0.59/0.65 | ~ 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) % 0.59/0.65 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.59/0.65 | 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__u8o(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) ) ). % 0.59/0.65 % 0.59/0.65 cnf(cls_OtwayRees_Osecrecy__lemma__dest_0,axiom, % 0.59/0.65 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 0.59/0.65 | ~ 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_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.59/0.65 | ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.59/0.65 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 0.59/0.65 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.59/0.65 | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.59/0.65 % 0.59/0.65 %------------------------------------------------------------------------------ % 0.59/0.65 %------------------------------------------- % 0.59/0.65 % Proof found % 0.59/0.65 % SZS status Theorem for theBenchmark % 0.59/0.65 % SZS output start Proof % 0.59/0.65 %ClaNum:9(EqnAxiom:0) % 0.59/0.65 %VarNum:51(SingletonVarNum:13) % 0.59/0.65 %MaxLitNum:6 % 0.59/0.65 %MaxfuncDepth:8 % 0.59/0.65 %SharedTerms:38 % 0.59/0.65 %goalClause: 1 2 3 4 5 6 7 % 0.59/0.65 %singleGoalClaCount:7 % 0.59/0.65 [5]~P1(a22,a7,a20) % 0.59/0.65 [6]~P1(a23,a7,a20) % 0.59/0.65 [1]P1(a1,a2,f17(a15)) % 0.59/0.65 [2]P1(f3(a18),f11(f5(a4,a1)),a19) % 0.59/0.65 [3]P1(f6(a21,a22,f14(a24,f12(f16(a22),f14(a24,f3(a18))))),f9(a1,a15),a15) % 0.59/0.65 [4]P1(f6(a22,a23,f14(a24,f14(f13(a22),f14(f13(a23),f12(f16(a22),f14(a24,f14(f13(a22),f13(a23)))))))),f9(a1,a15),a15) % 0.59/0.65 [7]~P1(f8(a4,f14(a24,f14(x71,f3(a18)))),f9(a1,a15),a15) % 0.59/0.65 [9]P1(x91,a7,a20)+~P1(x95,a2,f17(a15))+~P1(f6(x96,x91,f14(x93,f12(f16(x91),f14(x93,f3(x94))))),f9(x95,a15),a15)+P1(f6(a10,x92,f14(x93,f14(f12(f16(x91),f14(x93,f3(x94))),f12(f16(x92),f14(f25(x91,x92,x94,x93,x95),f3(x94)))))),f9(x95,a15),a15)+~P1(f6(x91,x92,f14(x93,f14(f13(x91),f14(f13(x92),f12(f16(x91),f14(x93,f14(f13(x91),f13(x92)))))))),f9(x95,a15),a15) % 0.59/0.65 [8]P1(x81,a7,a20)+P1(x82,a7,a20)+~P1(x86,a2,f17(a15))+~P1(f3(x85),f11(f5(a4,x86)),a19)+P1(f8(a4,f14(x83,f14(x84,f3(x85)))),f9(x86,a15),a15)+~P1(f6(a10,x82,f14(x83,f14(f12(f16(x81),f14(x83,f3(x85))),f12(f16(x82),f14(x84,f3(x85)))))),f9(x86,a15),a15) % 0.59/0.65 %EqnAxiom % 0.59/0.65 % 0.59/0.65 %------------------------------------------- % 0.59/0.66 cnf(12,plain, % 0.59/0.66 ($false), % 0.59/0.66 inference(scs_inference,[],[2,1,5,6,7,3,4,9,8]), % 0.59/0.66 ['proof']). % 0.59/0.66 % SZS output end Proof % 0.59/0.66 % Total time :0.000000s %------------------------------------------------------------------------------