%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV292-2 : 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 : n021.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 16:46:33 EDT 2024 % Result : Unsatisfiable 6.96s 7.08s % Output : CNFRefutation 6.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SWV292-2 : TPTP v8.2.0. Released v3.2.0. % 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.11/0.32 % Computer : n021.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 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Thu Jun 20 19:12:09 EDT 2024 % 0.11/0.33 % CPUTime : % 0.19/0.55 start to proof:theBenchmark % 6.96/7.07 %------------------------------------------- % 6.96/7.07 % File :CSE---1.7 % 6.96/7.07 % Problem :theBenchmark % 6.96/7.07 % Transform :cnf % 6.96/7.07 % Format :tptp:raw % 6.96/7.07 % Command :java -jar mcs_scs.jar %d %s % 6.96/7.07 % 6.96/7.07 % Result :Theorem 6.480000s % 6.96/7.07 % Output :CNFRefutation 6.480000s % 6.96/7.07 %------------------------------------------- % 6.96/7.07 %------------------------------------------------------------------------------ % 6.96/7.07 % File : SWV292-2 : TPTP v8.2.0. Released v3.2.0. % 6.96/7.07 % Domain : Software Verification (Security) % 6.96/7.07 % Problem : Cryptographic protocol problem for Otway Rees % 6.96/7.07 % Version : [Pau06] axioms : Reduced > Especial. % 6.96/7.07 % English : % 6.96/7.07 % 6.96/7.07 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 6.96/7.07 % Source : [Pau06] % 6.96/7.07 % Names : % 6.96/7.07 % 6.96/7.07 % Status : Unsatisfiable % 6.96/7.07 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 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, 0.14 v6.2.0, 0.11 v6.1.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.29 v4.1.0, 0.12 v4.0.1, 0.40 v4.0.0, 0.43 v3.4.0, 0.50 v3.3.0, 0.33 v3.2.0 % 6.96/7.07 % Syntax : Number of clauses : 16 ( 5 unt; 2 nHn; 16 RR) % 6.96/7.07 % Number of literals : 32 ( 0 equ; 16 neg) % 6.96/7.07 % Maximal clause size : 3 ( 2 avg) % 6.96/7.07 % Maximal term depth : 9 ( 2 avg) % 6.96/7.07 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 6.96/7.07 % Number of functors : 32 ( 32 usr; 15 con; 0-3 aty) % 6.96/7.07 % Number of variables : 29 ( 4 sgn) % 6.96/7.07 % SPC : CNF_UNS_RFO_NEQ_NHN % 6.96/7.07 % 6.96/7.07 % Comments : The problems in the [Pau06] collection each have very many axioms, % 6.96/7.07 % of which only a small selection are required for the refutation. % 6.96/7.07 % The mission is to find those few axioms, after which a refutation % 6.96/7.07 % can be quite easily found. This version has only the necessary % 6.96/7.07 % axioms. % 6.96/7.07 %------------------------------------------------------------------------------ % 6.96/7.07 cnf(cls_conjecture_0,negated_conjecture, % 6.96/7.07 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 6.96/7.07 % 6.96/7.07 cnf(cls_conjecture_1,negated_conjecture, % 6.96/7.07 c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 6.96/7.07 % 6.96/7.07 cnf(cls_conjecture_4,negated_conjecture, % 6.96/7.07 c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ). % 6.96/7.07 % 6.96/7.07 cnf(cls_conjecture_5,negated_conjecture, % 6.96/7.07 c_in(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_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ). % 6.96/7.07 % 6.96/7.07 cnf(cls_conjecture_6,negated_conjecture, % 6.96/7.07 ~ 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_evs4,tc_Event_Oevent),tc_Event_Oevent) ). % 6.96/7.07 % 6.96/7.07 cnf(cls_conjecture_7,negated_conjecture, % 6.96/7.07 ( 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_evs4,tc_Event_Oevent),tc_Event_Oevent) % 6.96/7.07 | ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ) ). % 6.96/7.07 % 6.96/7.07 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom, % 6.96/7.07 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 6.96/7.07 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 6.96/7.07 % 6.96/7.07 cnf(cls_Message_OCrypt__synth_0,axiom, % 6.96/7.07 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 6.96/7.07 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 6.96/7.07 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ). % 6.96/7.07 % 6.96/7.07 cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom, % 6.96/7.07 ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) % 6.96/7.07 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 6.96/7.07 | c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ). % 6.96/7.07 % 6.96/7.07 cnf(cls_Message_OMPair__analz_0,axiom, % 6.96/7.07 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) % 6.96/7.07 | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 6.96/7.07 % 6.96/7.07 cnf(cls_Message_OMPair__synth__analz__iff1_0,axiom, % 6.96/7.07 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 6.96/7.07 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 6.96/7.07 % 6.96/7.07 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom, % 6.96/7.07 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 6.96/7.07 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 6.96/7.08 % 6.96/7.08 cnf(cls_Message_Osynth_OInj_0,axiom, % 6.96/7.08 ( ~ c_in(V_X,V_H,tc_Message_Omsg) % 6.96/7.08 | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 6.96/7.08 % 6.96/7.08 cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom, % 6.96/7.08 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 6.96/7.08 | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 6.96/7.08 | 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) ) ). % 6.96/7.08 % 6.96/7.08 cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom, % 6.96/7.08 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 6.96/7.08 | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 6.96/7.08 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 6.96/7.08 % 6.96/7.08 cnf(cls_Set_OUnE_0,axiom, % 6.96/7.08 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) % 6.96/7.08 | c_in(V_c,V_B,T_a) % 6.96/7.08 | c_in(V_c,V_A,T_a) ) ). % 6.96/7.08 % 6.96/7.08 %------------------------------------------------------------------------------ % 6.96/7.08 %------------------------------------------- % 6.96/7.08 % Proof found % 6.96/7.08 % SZS status Theorem for theBenchmark % 6.96/7.08 % SZS output start Proof % 6.96/7.08 %ClaNum:16(EqnAxiom:0) % 6.96/7.08 %VarNum:65(SingletonVarNum:29) % 6.96/7.08 %MaxLitNum:3 % 6.96/7.08 %MaxfuncDepth:8 % 6.96/7.08 %SharedTerms:47 % 6.96/7.08 %goalClause: 1 2 3 4 5 16 % 6.96/7.08 %singleGoalClaCount:5 % 6.96/7.08 [4]~P1(a22,a7,a24) % 6.96/7.08 [1]P1(a1,a2,f21(a17)) % 6.96/7.08 [2]P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f14(f19(a29,f5(a4,a1),a23)),a23) % 6.96/7.08 [3]P1(f6(a27,f11(f15(a30),f11(a29,f12(f18(a27),f11(f15(a31),f13(a28)))))),f9(a1,a17),a17) % 6.96/7.08 [5]~P1(f8(a22,a26,f11(a25,f11(f3(a22),f11(f3(a26),f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))))))),f9(a1,a17),a17) % 6.96/7.08 [16]~P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f14(f5(a4,a1)),a23)+P1(f8(a22,a26,f11(a25,f11(f3(a22),f11(f3(a26),f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))))))),f9(a1,a17),a17) % 6.96/7.08 [6]~P1(x61,x62,a23)+P1(x61,f16(x62),a23) % 6.96/7.08 [7]~P1(x71,f10(x72),a23)+P1(x71,f14(x72),a23) % 6.96/7.08 [8]P1(x81,f10(x82),a23)+~P1(f11(x83,x81),f10(x82),a23) % 6.96/7.08 [9]P1(x91,f16(f10(x92)),a23)+~P1(f11(x91,x93),f16(f10(x92)),a23) % 6.96/7.08 [13]~P1(f8(x133,x134,x131),f9(x132,a17),a17)+P1(x131,f10(f5(a4,x132)),a23) % 6.96/7.08 [11]P1(x111,a7,a24)+~P1(x112,a2,f21(a17))+~P1(f13(f18(x111)),f14(f5(a4,x112)),a23) % 6.96/7.08 [10]P1(f13(x101),x102,a23)+P1(f12(x101,x103),x102,a23)+~P1(f12(x101,x103),f16(x102),a23) % 6.96/7.08 [14]~P1(f6(x141,x142),f9(x143,a17),a17)+~P1(x143,a2,f21(a17))+P1(f8(f32(x141,x142,x143),x141,x142),f9(x143,a17),a17) % 6.96/7.08 [15]~P1(x153,f16(f10(x152)),a23)+~P1(x151,f14(f19(x153,x152,a23)),a23)+P1(x151,f20(f16(f10(x152)),f14(x152),a23),a23) % 6.96/7.08 [12]P1(x121,x122,x123)+P1(x121,x124,x123)+~P1(x121,f20(x124,x122,x123),x123) % 6.96/7.08 %EqnAxiom % 6.96/7.08 % 6.96/7.08 %------------------------------------------- % 6.96/7.08 cnf(17,plain, % 6.96/7.08 (~P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f14(f5(a4,a1)),a23)), % 6.96/7.08 inference(scs_inference,[],[5,16])). % 6.96/7.08 cnf(18,plain, % 6.96/7.08 (~P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f10(f5(a4,a1)),a23)), % 6.96/7.08 inference(scs_inference,[],[5,16,7])). % 6.96/7.08 cnf(61,plain, % 6.96/7.08 (~P1(f11(x611,x612),f10(x613),a23)+P1(x611,f16(f10(x613)),a23)), % 6.96/7.08 inference(scs_inference,[],[6,9])). % 6.96/7.08 cnf(197,plain, % 6.96/7.08 (~P1(f13(f18(a22)),f10(f5(a4,a1)),a23)), % 6.96/7.08 inference(scs_inference,[],[1,4,7,11])). % 6.96/7.08 cnf(202,plain, % 6.96/7.08 (~P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f16(f10(f5(a4,a1))),a23)), % 6.96/7.08 inference(scs_inference,[],[18,197,13,8,10])). % 6.96/7.08 cnf(506,plain, % 6.96/7.08 (~P1(f11(a29,x5061),f10(f5(a4,a1)),a23)+P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f20(f16(f10(f5(a4,a1))),f14(f5(a4,a1)),a23),a23)), % 6.96/7.08 inference(scs_inference,[],[2,61,15])). % 6.96/7.08 cnf(507,plain, % 6.96/7.08 (~P1(f11(a29,x5071),f10(f5(a4,a1)),a23)), % 6.96/7.08 inference(scs_inference,[],[202,17,506,12])). % 6.96/7.08 cnf(510,plain, % 6.96/7.08 (~P1(f11(x5101,f11(a29,x5102)),f10(f5(a4,a1)),a23)), % 6.96/7.08 inference(scs_inference,[],[507,13,8])). % 6.96/7.08 cnf(519,plain, % 6.96/7.08 ($false), % 6.96/7.08 inference(scs_inference,[],[3,1,510,8,13,14]), % 6.96/7.08 ['proof']). % 6.96/7.08 % SZS output end Proof % 6.96/7.08 % Total time :6.480000s %------------------------------------------------------------------------------