%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV289-2 : 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 16:46:31 EDT 2024 % Result : Unsatisfiable 0.19s 0.59s % Output : CNFRefutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SWV289-2 : TPTP v8.2.0. Released v3.2.0. % 0.12/0.12 % 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 20:03:38 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 0.19/0.59 %------------------------------------------- % 0.19/0.59 % File :CSE---1.7 % 0.19/0.59 % Problem :theBenchmark % 0.19/0.59 % Transform :cnf % 0.19/0.59 % Format :tptp:raw % 0.19/0.59 % Command :java -jar mcs_scs.jar %d %s % 0.19/0.59 % 0.19/0.59 % Result :Theorem 0.000000s % 0.19/0.59 % Output :CNFRefutation 0.000000s % 0.19/0.59 %------------------------------------------- % 0.19/0.59 %------------------------------------------------------------------------------ % 0.19/0.59 % File : SWV289-2 : TPTP v8.2.0. Released v3.2.0. % 0.19/0.59 % Domain : Software Verification (Security) % 0.19/0.59 % Problem : Cryptographic protocol problem for Otway Rees % 0.19/0.59 % Version : [Pau06] axioms : Reduced > Especial. % 0.19/0.59 % English : % 0.19/0.59 % 0.19/0.59 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.19/0.59 % Source : [Pau06] % 0.19/0.59 % Names : % 0.19/0.59 % 0.19/0.59 % Status : Unsatisfiable % 0.19/0.59 % Rating : 0.17 v8.2.0, 0.14 v8.1.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.38 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 % 0.19/0.59 % Syntax : Number of clauses : 9 ( 7 unt; 2 nHn; 9 RR) % 0.19/0.59 % Number of literals : 18 ( 0 equ; 9 neg) % 0.19/0.59 % Maximal clause size : 6 ( 2 avg) % 0.19/0.59 % Maximal term depth : 11 ( 2 avg) % 0.19/0.59 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.19/0.59 % Number of functors : 27 ( 27 usr; 15 con; 0-3 aty) % 0.19/0.59 % Number of variables : 14 ( 2 sgn) % 0.19/0.59 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.19/0.59 % 0.19/0.59 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.19/0.59 % of which only a small selection are required for the refutation. % 0.19/0.59 % The mission is to find those few axioms, after which a refutation % 0.19/0.59 % can be quite easily found. This version has only the necessary % 0.19/0.59 % axioms. % 0.19/0.59 %------------------------------------------------------------------------------ % 0.19/0.59 cnf(cls_conjecture_0,negated_conjecture, % 0.19/0.59 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_H,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) ). % 0.19/0.59 % 0.19/0.59 cnf(cls_conjecture_1,negated_conjecture, % 0.19/0.59 c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,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) ). % 0.19/0.59 % 0.19/0.59 cnf(cls_conjecture_2,negated_conjecture, % 0.19/0.59 ~ 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) ). % 0.19/0.59 % 0.19/0.59 cnf(cls_conjecture_3,negated_conjecture, % 0.19/0.59 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 0.19/0.59 % 0.19/0.59 cnf(cls_conjecture_4,negated_conjecture, % 0.19/0.59 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ). % 0.19/0.59 % 0.19/0.59 cnf(cls_conjecture_5,negated_conjecture, % 0.19/0.59 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 0.19/0.59 % 0.19/0.59 cnf(cls_conjecture_6,negated_conjecture, % 0.19/0.59 c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ). % 0.19/0.59 % 0.19/0.59 cnf(cls_OtwayRees_OB__trusts__OR3__dest_0,axiom, % 0.19/0.59 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 0.19/0.59 | ~ c_in(c_Event_Oevent_OGets(V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_X,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) % 0.19/0.59 | ~ 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_H,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) % 0.19/0.59 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 0.19/0.59 | 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) ) ). % 0.19/0.59 % 0.19/0.59 cnf(cls_OtwayRees_OSpy__not__see__encrypted__key__dest_0,axiom, % 0.19/0.59 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 0.19/0.59 | ~ 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) % 0.19/0.59 | ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.19/0.59 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 0.19/0.59 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.19/0.59 | 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) ) ). % 0.19/0.59 % 0.19/0.59 %------------------------------------------------------------------------------ % 0.19/0.59 %------------------------------------------- % 0.19/0.59 % Proof found % 0.19/0.59 % SZS status Theorem for theBenchmark % 0.19/0.59 % SZS output start Proof % 0.19/0.59 %ClaNum:9(EqnAxiom:0) % 0.19/0.59 %VarNum:47(SingletonVarNum:14) % 0.19/0.59 %MaxLitNum:6 % 0.19/0.59 %MaxfuncDepth:10 % 0.19/0.59 %SharedTerms:46 % 0.19/0.59 %goalClause: 1 2 3 4 5 6 7 % 0.19/0.59 %singleGoalClaCount:7 % 0.19/0.59 [5]~P1(a22,a7,a21) % 0.19/0.59 [6]~P1(a23,a7,a21) % 0.19/0.59 [1]P1(a1,a2,f18(a16)) % 0.19/0.59 [2]P1(f3(a19),f12(f5(a4,a1)),a20) % 0.19/0.59 [7]~P1(f9(a4,f15(a24,f15(a26,f3(a19)))),f10(a1,a16),a16) % 0.19/0.59 [3]P1(f6(a22,f15(a24,f15(a25,f13(f17(a22),f15(a26,f3(a19)))))),f10(a1,a16),a16) % 0.19/0.59 [4]P1(f8(a22,a11,f15(a24,f15(f14(a23),f15(f14(a22),f15(a27,f13(f17(a22),f15(a24,f15(a26,f15(f14(a23),f14(a22)))))))))),f10(a1,a16),a16) % 0.19/0.59 [9]P1(x91,a7,a21)+~P1(x96,a2,f18(a16))+~P1(f6(x91,f15(x92,f15(x97,f13(f17(x91),f15(x95,f3(x94)))))),f10(x96,a16),a16)+P1(f8(a11,x91,f15(x92,f15(f13(f17(x93),f15(x92,f3(x94))),f13(f17(x91),f15(x95,f3(x94)))))),f10(x96,a16),a16)+~P1(f8(x91,a11,f15(x92,f15(f14(x93),f15(f14(x91),f15(x98,f13(f17(x91),f15(x92,f15(x95,f15(f14(x93),f14(x91)))))))))),f10(x96,a16),a16) % 0.19/0.59 [8]P1(x81,a7,a21)+P1(x82,a7,a21)+~P1(x86,a2,f18(a16))+~P1(f3(x85),f12(f5(a4,x86)),a20)+P1(f9(a4,f15(x83,f15(x84,f3(x85)))),f10(x86,a16),a16)+~P1(f8(a11,x82,f15(x83,f15(f13(f17(x81),f15(x83,f3(x85))),f13(f17(x82),f15(x84,f3(x85)))))),f10(x86,a16),a16) % 0.19/0.59 %EqnAxiom % 0.19/0.59 % 0.19/0.59 %------------------------------------------- % 0.19/0.60 cnf(12,plain, % 0.19/0.60 ($false), % 0.19/0.60 inference(scs_inference,[],[1,2,5,6,7,3,4,9,8]), % 0.19/0.60 ['proof']). % 0.19/0.60 % SZS output end Proof % 0.19/0.60 % Total time :0.000000s %------------------------------------------------------------------------------