%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV286-2 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n017.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 0.55s 0.61s % Output : CNFRefutation 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV286-2 : TPTP v8.2.0. Released v3.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n017.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 21:11:08 EDT 2024 % 0.12/0.33 % CPUTime : % 0.51/0.57 start to proof:theBenchmark % 0.55/0.60 %------------------------------------------- % 0.55/0.60 % File :CSE---1.7 % 0.55/0.60 % Problem :theBenchmark % 0.55/0.60 % Transform :cnf % 0.55/0.60 % Format :tptp:raw % 0.55/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.60 % 0.55/0.60 % Result :Theorem 0.000000s % 0.55/0.60 % Output :CNFRefutation 0.000000s % 0.55/0.60 %------------------------------------------- % 0.55/0.61 %------------------------------------------------------------------------------ % 0.55/0.61 % File : SWV286-2 : TPTP v8.2.0. Released v3.2.0. % 0.55/0.61 % Domain : Software Verification (Security) % 0.55/0.61 % Problem : Cryptographic protocol problem for Otway Rees % 0.55/0.61 % Version : [Pau06] axioms : Reduced > Especial. % 0.55/0.61 % English : % 0.55/0.61 % 0.55/0.61 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.55/0.61 % Source : [Pau06] % 0.55/0.61 % Names : % 0.55/0.61 % 0.55/0.61 % Status : Unsatisfiable % 0.55/0.61 % Rating : 0.08 v8.2.0, 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.0.0, 0.25 v6.3.0, 0.14 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 % 0.55/0.61 % Syntax : Number of clauses : 8 ( 6 unt; 2 nHn; 8 RR) % 0.55/0.61 % Number of literals : 15 ( 0 equ; 8 neg) % 0.55/0.61 % Maximal clause size : 5 ( 1 avg) % 0.55/0.61 % Maximal term depth : 11 ( 2 avg) % 0.55/0.61 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.55/0.61 % Number of functors : 21 ( 21 usr; 11 con; 0-5 aty) % 0.55/0.61 % Number of variables : 14 ( 3 sgn) % 0.55/0.61 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.55/0.61 % 0.55/0.61 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.55/0.61 % of which only a small selection are required for the refutation. % 0.55/0.61 % The mission is to find those few axioms, after which a refutation % 0.55/0.61 % can be quite easily found. This version has only the necessary % 0.55/0.61 % axioms. % 0.55/0.61 %------------------------------------------------------------------------------ % 0.55/0.61 cnf(cls_OtwayRees_OA__trusts__OR4__dest_0,axiom, % 0.55/0.61 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 0.55/0.61 | ~ 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) % 0.55/0.61 | ~ 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) % 0.55/0.61 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.55/0.61 | 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) ) ). % 0.55/0.61 % 0.55/0.61 cnf(cls_OtwayRees_OOR3__imp__OR2__dest_0,axiom, % 0.55/0.61 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 0.55/0.61 | ~ 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) % 0.55/0.61 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 0.55/0.61 | 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__vEb(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) ) ). % 0.55/0.61 % 0.55/0.61 cnf(cls_conjecture_0,negated_conjecture, % 0.55/0.61 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) ). % 0.55/0.61 % 0.55/0.61 cnf(cls_conjecture_1,negated_conjecture, % 0.55/0.61 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) ). % 0.55/0.61 % 0.55/0.61 cnf(cls_conjecture_2,negated_conjecture, % 0.55/0.61 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 0.55/0.61 % 0.55/0.61 cnf(cls_conjecture_3,negated_conjecture, % 0.55/0.61 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ). % 0.55/0.61 % 0.55/0.61 cnf(cls_conjecture_4,negated_conjecture, % 0.55/0.61 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 0.55/0.61 % 0.55/0.61 cnf(cls_conjecture_5,negated_conjecture, % 0.55/0.61 ~ 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_V,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(V_U,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) ). % 0.55/0.61 % 0.55/0.61 %------------------------------------------------------------------------------ % 0.55/0.61 %------------------------------------------- % 0.55/0.61 % Proof found % 0.55/0.61 % SZS status Theorem for theBenchmark % 0.55/0.61 % SZS output start Proof % 0.55/0.61 %ClaNum:8(EqnAxiom:0) % 0.55/0.61 %VarNum:60(SingletonVarNum:14) % 0.55/0.61 %MaxLitNum:5 % 0.55/0.61 %MaxfuncDepth:10 % 0.55/0.61 %SharedTerms:34 % 0.55/0.61 %goalClause: 1 2 3 4 5 6 % 0.55/0.61 %singleGoalClaCount:6 % 0.55/0.61 [4]~P1(a15,a6,a16) % 0.55/0.61 [5]~P1(a17,a6,a16) % 0.55/0.61 [1]P1(a1,a2,f13(a11)) % 0.55/0.61 [2]P1(f5(a14,a15,f10(a18,f4(f12(a15),f10(a18,f3(a19))))),f7(a1,a11),a11) % 0.55/0.61 [3]P1(f5(a15,a17,f10(a18,f10(f8(a15),f10(f8(a17),f4(f12(a15),f10(a18,f10(f8(a15),f8(a17)))))))),f7(a1,a11),a11) % 0.55/0.61 [6]~P1(f5(a17,a9,f10(a18,f10(f8(a15),f10(f8(a17),f10(x61,f4(f12(a17),f10(a18,f10(x62,f10(f8(a15),f8(a17)))))))))),f7(a1,a11),a11) % 0.55/0.61 [8]P1(x81,a6,a16)+~P1(x85,a2,f13(a11))+~P1(f5(a9,x81,f10(x82,f10(f4(f12(x83),f10(x82,f3(x86))),f4(f12(x81),f10(x84,f3(x86)))))),f7(x85,a11),a11)+P1(f5(x81,a9,f10(x82,f10(f8(x83),f10(f8(x81),f10(f21(x83,x81,x82,x84,x85),f4(f12(x81),f10(x82,f10(x84,f10(f8(x83),f8(x81)))))))))),f7(x85,a11),a11) % 0.55/0.61 [7]P1(x71,a6,a16)+~P1(x75,a2,f13(a11))+~P1(f5(x76,x71,f10(x73,f4(f12(x71),f10(x73,f3(x74))))),f7(x75,a11),a11)+P1(f5(a9,x72,f10(x73,f10(f4(f12(x71),f10(x73,f3(x74))),f4(f12(x72),f10(f20(x71,x72,x74,x73,x75),f3(x74)))))),f7(x75,a11),a11)+~P1(f5(x71,x72,f10(x73,f10(f8(x71),f10(f8(x72),f4(f12(x71),f10(x73,f10(f8(x71),f8(x72)))))))),f7(x75,a11),a11) % 0.55/0.61 %EqnAxiom % 0.55/0.61 % 0.55/0.61 %------------------------------------------- % 0.55/0.61 cnf(12,plain, % 0.55/0.61 ($false), % 0.55/0.61 inference(scs_inference,[],[1,2,4,5,3,6,8,7]), % 0.55/0.61 ['proof']). % 0.55/0.61 % SZS output end Proof % 0.55/0.61 % Total time :0.000000s %------------------------------------------------------------------------------