%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV290-2 : 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 : 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 16:46:32 EDT 2024 % Result : Unsatisfiable 0.51s 0.56s % Output : CNFRefutation 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SWV290-2 : TPTP v8.2.0. Released v3.2.0. % 0.04/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.11/0.32 % Computer : n027.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Thu Jun 20 19:11:39 EDT 2024 % 0.11/0.33 % CPUTime : % 0.18/0.51 start to proof:theBenchmark % 0.48/0.56 %------------------------------------------- % 0.48/0.56 % File :CSE---1.7 % 0.48/0.56 % Problem :theBenchmark % 0.48/0.56 % Transform :cnf % 0.48/0.56 % Format :tptp:raw % 0.48/0.56 % Command :java -jar mcs_scs.jar %d %s % 0.48/0.56 % 0.48/0.56 % Result :Theorem 0.010000s % 0.48/0.56 % Output :CNFRefutation 0.010000s % 0.48/0.56 %------------------------------------------- % 0.48/0.56 %------------------------------------------------------------------------------ % 0.48/0.56 % File : SWV290-2 : TPTP v8.2.0. Released v3.2.0. % 0.48/0.56 % Domain : Software Verification (Security) % 0.48/0.56 % Problem : Cryptographic protocol problem for Otway Rees % 0.48/0.56 % Version : [Pau06] axioms : Reduced > Especial. % 0.48/0.56 % English : % 0.48/0.56 % 0.48/0.56 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.48/0.56 % Source : [Pau06] % 0.48/0.56 % Names : % 0.48/0.56 % 0.48/0.56 % Status : Unsatisfiable % 0.48/0.56 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 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, 0.07 v4.1.0, 0.00 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.00 v3.2.0 % 0.48/0.56 % Syntax : Number of clauses : 10 ( 5 unt; 1 nHn; 10 RR) % 0.48/0.56 % Number of literals : 19 ( 0 equ; 10 neg) % 0.48/0.56 % Maximal clause size : 5 ( 1 avg) % 0.48/0.56 % Maximal term depth : 11 ( 2 avg) % 0.48/0.56 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.48/0.56 % Number of functors : 28 ( 28 usr; 15 con; 0-3 aty) % 0.48/0.56 % Number of variables : 19 ( 4 sgn) % 0.48/0.56 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.48/0.56 % 0.48/0.56 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.48/0.56 % of which only a small selection are required for the refutation. % 0.48/0.56 % The mission is to find those few axioms, after which a refutation % 0.48/0.56 % can be quite easily found. This version has only the necessary % 0.48/0.56 % axioms. % 0.48/0.56 %------------------------------------------------------------------------------ % 0.48/0.56 cnf(cls_conjecture_0,negated_conjecture, % 0.48/0.56 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) ). % 0.48/0.56 % 0.48/0.56 cnf(cls_conjecture_1,negated_conjecture, % 0.48/0.56 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) ). % 0.48/0.56 % 0.48/0.56 cnf(cls_conjecture_2,negated_conjecture, % 0.48/0.56 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ). % 0.48/0.56 % 0.48/0.56 cnf(cls_conjecture_3,negated_conjecture, % 0.48/0.56 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 0.48/0.56 % 0.48/0.56 cnf(cls_conjecture_4,negated_conjecture, % 0.48/0.56 ~ 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) ). % 0.48/0.56 % 0.48/0.56 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom, % 0.48/0.56 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.48/0.56 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 0.48/0.56 % 0.48/0.56 cnf(cls_Message_OMPair__analz_0,axiom, % 0.48/0.56 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.48/0.56 | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.48/0.56 % 0.48/0.56 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom, % 0.51/0.56 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.51/0.56 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.51/0.56 % 0.51/0.56 cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom, % 0.51/0.56 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 0.51/0.56 | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.51/0.56 | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.51/0.56 % 0.51/0.56 cnf(cls_OtwayRees_ONB__Crypt__imp__Server__msg_0,axiom, % 0.51/0.56 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 0.51/0.56 | ~ 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) % 0.51/0.56 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.51/0.56 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 0.51/0.56 | 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) ) ). % 0.51/0.56 % 0.51/0.56 %------------------------------------------------------------------------------ % 0.51/0.56 %------------------------------------------- % 0.51/0.56 % Proof found % 0.51/0.56 % SZS status Theorem for theBenchmark % 0.51/0.56 % SZS output start Proof % 0.51/0.56 %ClaNum:10(EqnAxiom:0) % 0.51/0.56 %VarNum:51(SingletonVarNum:19) % 0.51/0.56 %MaxLitNum:5 % 0.51/0.56 %MaxfuncDepth:10 % 0.51/0.56 %SharedTerms:46 % 0.51/0.56 %goalClause: 1 2 3 4 5 % 0.51/0.56 %singleGoalClaCount:5 % 0.51/0.56 [4]~P1(a19,a6,a21) % 0.51/0.56 [1]P1(a1,a2,f18(a16)) % 0.51/0.56 [2]P1(f5(a19,f14(a23,f14(a25,f4(f17(a19),f14(a26,f3(a24)))))),f7(a1,a16),a16) % 0.51/0.56 [5]~P1(f8(a10,a19,f14(a23,f14(f4(f17(a20),f14(a23,f3(a24))),f4(f17(a19),f14(a26,f3(a24)))))),f7(a1,a16),a16) % 0.51/0.56 [3]P1(f8(a19,a10,f14(a23,f14(f11(a20),f14(f11(a19),f14(a27,f4(f17(a19),f14(a23,f14(a26,f14(f11(a20),f11(a19)))))))))),f7(a1,a16),a16) % 0.51/0.56 [6]~P1(x61,f12(x62),a22)+P1(x61,f15(x62),a22) % 0.51/0.56 [7]P1(x71,f12(x72),a22)+~P1(f14(x73,x71),f12(x72),a22) % 0.51/0.56 [8]~P1(f8(x83,x84,x81),f7(x82,a16),a16)+P1(x81,f12(f9(a13,x82)),a22) % 0.51/0.56 [9]~P1(f5(x91,x92),f7(x93,a16),a16)+~P1(x93,a2,f18(a16))+P1(f8(f28(x91,x92,x93),x91,x92),f7(x93,a16),a16) % 0.51/0.56 [10]P1(x101,a6,a21)+~P1(x106,a2,f18(a16))+~P1(f4(f17(x101),f14(x105,f3(x104))),f15(f9(a13,x106)),a22)+P1(f8(a10,x101,f14(x102,f14(f4(f17(x103),f14(x102,f3(x104))),f4(f17(x101),f14(x105,f3(x104)))))),f7(x106,a16),a16)+~P1(f8(x101,a10,f14(x102,f14(f11(x103),f14(f11(x101),f14(x107,f4(f17(x101),f14(x102,f14(x105,f14(f11(x103),f11(x101)))))))))),f7(x106,a16),a16) % 0.51/0.56 %EqnAxiom % 0.51/0.56 % 0.51/0.56 %------------------------------------------- % 0.51/0.57 cnf(17,plain, % 0.51/0.57 (~P1(f14(x171,f4(f17(a19),f14(a26,f3(a24)))),f12(f9(a13,a1)),a22)), % 0.51/0.57 inference(scs_inference,[],[1,4,5,3,10,6,8,7])). % 0.51/0.57 cnf(23,plain, % 0.51/0.57 (~P1(f14(x231,f14(x232,f4(f17(a19),f14(a26,f3(a24))))),f12(f9(a13,a1)),a22)), % 0.51/0.57 inference(scs_inference,[],[17,8,7])). % 0.51/0.57 cnf(28,plain, % 0.51/0.57 (~P1(f14(x281,f14(x282,f14(x283,f4(f17(a19),f14(a26,f3(a24)))))),f12(f9(a13,a1)),a22)), % 0.51/0.57 inference(scs_inference,[],[23,7])). % 0.51/0.57 cnf(30,plain, % 0.51/0.57 (~P1(f8(x301,x302,f14(x303,f14(x304,f4(f17(a19),f14(a26,f3(a24)))))),f7(a1,a16),a16)), % 0.51/0.57 inference(scs_inference,[],[23,7,8])). % 0.51/0.57 cnf(39,plain, % 0.51/0.57 ($false), % 0.51/0.57 inference(scs_inference,[],[1,2,30,28,8,7,9]), % 0.51/0.57 ['proof']). % 0.51/0.57 % SZS output end Proof % 0.51/0.57 % Total time :0.010000s %------------------------------------------------------------------------------