%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV294-2 : 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 : 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 0.52s 0.72s % Output : CNFRefutation 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SWV294-2 : TPTP v8.2.0. Released v3.2.0. % 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n021.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 18:38:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 0.52/0.71 %------------------------------------------- % 0.52/0.71 % File :CSE---1.7 % 0.52/0.72 % Problem :theBenchmark % 0.52/0.72 % Transform :cnf % 0.52/0.72 % Format :tptp:raw % 0.52/0.72 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.72 % 0.52/0.72 % Result :Theorem 0.110000s % 0.52/0.72 % Output :CNFRefutation 0.110000s % 0.52/0.72 %------------------------------------------- % 0.52/0.72 %------------------------------------------------------------------------------ % 0.52/0.72 % File : SWV294-2 : TPTP v8.2.0. Released v3.2.0. % 0.52/0.72 % Domain : Software Verification (Security) % 0.52/0.72 % Problem : Cryptographic protocol problem for Otway Rees % 0.52/0.72 % Version : [Pau06] axioms : Reduced > Especial. % 0.52/0.72 % English : % 0.52/0.72 % 0.52/0.72 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.52/0.72 % Source : [Pau06] % 0.52/0.72 % Names : % 0.52/0.72 % 0.52/0.72 % Status : Unsatisfiable % 0.52/0.72 % Rating : 0.20 v8.2.0, 0.19 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.18 v7.3.0, 0.17 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.00 v6.1.0, 0.21 v6.0.0, 0.10 v5.5.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.12 v5.0.0, 0.14 v4.1.0, 0.15 v4.0.1, 0.09 v3.7.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0 % 0.52/0.72 % Syntax : Number of clauses : 13 ( 4 unt; 4 nHn; 13 RR) % 0.52/0.72 % Number of literals : 27 ( 3 equ; 11 neg) % 0.52/0.72 % Maximal clause size : 3 ( 2 avg) % 0.52/0.72 % Maximal term depth : 9 ( 2 avg) % 0.52/0.72 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty) % 0.52/0.72 % Number of functors : 28 ( 28 usr; 14 con; 0-3 aty) % 0.52/0.72 % Number of variables : 15 ( 1 sgn) % 0.52/0.72 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.52/0.72 % 0.52/0.72 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.52/0.72 % of which only a small selection are required for the refutation. % 0.52/0.72 % The mission is to find those few axioms, after which a refutation % 0.52/0.72 % can be quite easily found. This version has only the necessary % 0.52/0.72 % axioms. % 0.52/0.72 %------------------------------------------------------------------------------ % 0.52/0.72 cnf(cls_conjecture_0,negated_conjecture, % 0.52/0.72 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 0.52/0.72 % 0.52/0.72 cnf(cls_conjecture_1,negated_conjecture, % 0.52/0.72 c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 0.52/0.72 % 0.52/0.72 cnf(cls_conjecture_18,negated_conjecture, % 0.52/0.72 ( 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_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) % 0.52/0.72 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) % 0.52/0.72 | ~ 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_evsf,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.52/0.72 % 0.52/0.72 cnf(cls_conjecture_2,negated_conjecture, % 0.52/0.72 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ). % 0.52/0.72 % 0.52/0.72 cnf(cls_conjecture_3,negated_conjecture, % 0.52/0.72 ( 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_evsf,tc_Event_Oevent),tc_Event_Oevent) % 0.52/0.72 | v_A = c_Message_Oagent_OSpy ) ). % 0.52/0.72 % 0.52/0.72 cnf(cls_conjecture_4,negated_conjecture, % 0.52/0.72 ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) % 0.52/0.72 | v_A = c_Message_Oagent_OSpy ) ). % 0.52/0.72 % 0.52/0.72 cnf(cls_conjecture_5,negated_conjecture, % 0.52/0.72 ( ~ 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_V,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) % 0.52/0.72 | v_A = c_Message_Oagent_OSpy ) ). % 0.52/0.72 % 0.52/0.72 cnf(cls_Event_OSpy_A_58_Abad_0,axiom, % 0.52/0.72 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ). % 0.52/0.72 % 0.52/0.72 cnf(cls_Message_OCrypt__synth_0,axiom, % 0.52/0.72 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 0.52/0.72 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 0.52/0.72 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ). % 0.52/0.72 % 0.52/0.72 cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom, % 0.52/0.72 ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) % 0.52/0.72 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.52/0.72 | 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) ) ). % 0.52/0.72 % 0.52/0.72 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom, % 0.52/0.72 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.52/0.72 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.52/0.72 % 0.52/0.72 cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom, % 0.52/0.72 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 0.52/0.72 | ~ 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) % 0.52/0.72 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 0.52/0.72 % 0.52/0.72 cnf(cls_Set_OUnE_0,axiom, % 0.52/0.72 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) % 0.52/0.72 | c_in(V_c,V_B,T_a) % 0.52/0.72 | c_in(V_c,V_A,T_a) ) ). % 0.52/0.72 % 0.52/0.72 %------------------------------------------------------------------------------ % 0.52/0.72 %------------------------------------------- % 0.52/0.72 % Proof found % 0.52/0.72 % SZS status Theorem for theBenchmark % 0.52/0.72 % SZS output start Proof % 0.52/0.72 %ClaNum:43(EqnAxiom:30) % 0.52/0.72 %VarNum:36(SingletonVarNum:15) % 0.52/0.72 %MaxLitNum:3 % 0.52/0.72 %MaxfuncDepth:8 % 0.52/0.72 %SharedTerms:51 % 0.52/0.72 %goalClause: 32 33 34 39 41 42 43 % 0.52/0.72 %singleGoalClaCount:3 % 0.52/0.72 [31]P1(a1,a2,a7) % 0.52/0.72 [34]~P1(a24,a2,a7) % 0.52/0.72 [32]P1(a21,a8,f20(a16)) % 0.52/0.72 [33]P1(a22,f10(f9(f3(a1,a21))),a23) % 0.52/0.72 [39]E(a24,a1)+P1(f13(f17(a24),f15(a25,f12(a26))),f11(f19(a22,f3(a1,a21),a23)),a23) % 0.52/0.72 [42]E(a24,a1)+P1(f4(a24,a27,f15(a25,f15(f14(a24),f15(f14(a27),f13(f17(a24),f15(a25,f15(f14(a24),f14(a27)))))))),f6(a21,a16),a16) % 0.52/0.72 [41]E(a24,a1)+~P1(f4(a5,a27,f15(a25,f15(f13(f17(a24),f15(a25,f12(a26))),f13(f17(a27),f15(x411,f12(a26)))))),f6(a21,a16),a16) % 0.52/0.72 [35]~P1(x351,f9(x352),a23)+P1(x351,f11(x352),a23) % 0.52/0.72 [43]~P1(f13(f17(a24),f15(a25,f12(a26))),f11(f3(a1,a21)),a23)+P1(f4(a5,a27,f15(a25,f15(f13(f17(a24),f15(a25,f12(a26))),f13(f17(a27),f15(a28,f12(a26)))))),f6(a21,a16),a16)+~P1(f4(a24,a27,f15(a25,f15(f14(a24),f15(f14(a27),f13(f17(a24),f15(a25,f15(f14(a24),f14(a27)))))))),f6(a21,a16),a16) % 0.52/0.72 [37]P1(x371,a2,a7)+~P1(x372,a8,f20(a16))+~P1(f12(f17(x371)),f11(f3(a1,x372)),a23) % 0.52/0.72 [36]P1(f12(x361),x362,a23)+P1(f13(x361,x363),x362,a23)+~P1(f13(x361,x363),f10(x362),a23) % 0.52/0.72 [40]~P1(x403,f10(f9(x402)),a23)+~P1(x401,f11(f19(x403,x402,a23)),a23)+P1(x401,f18(f10(f9(x402)),f11(x402),a23),a23) % 0.52/0.72 [38]P1(x381,x382,x383)+P1(x381,x384,x383)+~P1(x381,f18(x384,x382,x383),x383) % 0.52/0.72 %EqnAxiom % 0.52/0.72 [1]E(x11,x11) % 0.52/0.72 [2]E(x22,x21)+~E(x21,x22) % 0.52/0.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.52/0.72 [4]~E(x41,x42)+E(f20(x41),f20(x42)) % 0.52/0.72 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53)) % 0.52/0.72 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62)) % 0.52/0.72 [7]~E(x71,x72)+E(f9(x71),f9(x72)) % 0.52/0.72 [8]~E(x81,x82)+E(f10(x81),f10(x82)) % 0.52/0.72 [9]~E(x91,x92)+E(f11(x91),f11(x92)) % 0.52/0.72 [10]~E(x101,x102)+E(f15(x101,x103),f15(x102,x103)) % 0.52/0.72 [11]~E(x111,x112)+E(f15(x113,x111),f15(x113,x112)) % 0.52/0.72 [12]~E(x121,x122)+E(f12(x121),f12(x122)) % 0.52/0.72 [13]~E(x131,x132)+E(f13(x131,x133),f13(x132,x133)) % 0.52/0.72 [14]~E(x141,x142)+E(f13(x143,x141),f13(x143,x142)) % 0.52/0.72 [15]~E(x151,x152)+E(f17(x151),f17(x152)) % 0.52/0.72 [16]~E(x161,x162)+E(f14(x161),f14(x162)) % 0.52/0.72 [17]~E(x171,x172)+E(f6(x171,x173),f6(x172,x173)) % 0.52/0.72 [18]~E(x181,x182)+E(f6(x183,x181),f6(x183,x182)) % 0.52/0.72 [19]~E(x191,x192)+E(f19(x191,x193,x194),f19(x192,x193,x194)) % 0.52/0.72 [20]~E(x201,x202)+E(f19(x203,x201,x204),f19(x203,x202,x204)) % 0.52/0.72 [21]~E(x211,x212)+E(f19(x213,x214,x211),f19(x213,x214,x212)) % 0.52/0.72 [22]~E(x221,x222)+E(f4(x221,x223,x224),f4(x222,x223,x224)) % 0.52/0.73 [23]~E(x231,x232)+E(f4(x233,x231,x234),f4(x233,x232,x234)) % 0.52/0.73 [24]~E(x241,x242)+E(f4(x243,x244,x241),f4(x243,x244,x242)) % 0.52/0.73 [25]~E(x251,x252)+E(f18(x251,x253,x254),f18(x252,x253,x254)) % 0.52/0.73 [26]~E(x261,x262)+E(f18(x263,x261,x264),f18(x263,x262,x264)) % 0.52/0.73 [27]~E(x271,x272)+E(f18(x273,x274,x271),f18(x273,x274,x272)) % 0.52/0.73 [28]P1(x282,x283,x284)+~E(x281,x282)+~P1(x281,x283,x284) % 0.52/0.73 [29]P1(x293,x292,x294)+~E(x291,x292)+~P1(x293,x291,x294) % 0.52/0.73 [30]P1(x303,x304,x302)+~E(x301,x302)+~P1(x303,x304,x301) % 0.52/0.73 % 0.52/0.73 %------------------------------------------- % 0.52/0.73 cnf(44,plain, % 0.52/0.73 (~E(a1,a24)), % 0.52/0.73 inference(scs_inference,[],[34,31,28])). % 0.52/0.73 cnf(61,plain, % 0.52/0.73 (P1(a22,x611,x612)+~E(a23,x612)+~E(f10(f9(f3(a1,a21))),x611)), % 0.52/0.73 inference(scs_inference,[],[33,30,29])). % 0.52/0.73 cnf(67,plain, % 0.52/0.73 (P1(f13(f17(a24),f15(a25,f12(a26))),f11(f19(a22,f3(a1,a21),a23)),a23)), % 0.52/0.73 inference(scs_inference,[],[44,2,39])). % 0.52/0.73 cnf(69,plain, % 0.52/0.73 (P1(f13(f17(a24),f15(a25,f12(a26))),x691,a23)+~E(f11(f19(a22,f3(a1,a21),a23)),x691)), % 0.52/0.73 inference(scs_inference,[],[67,28,29])). % 0.52/0.73 cnf(76,plain, % 0.52/0.73 (~E(x761,x762)+E(f9(f3(x763,x761)),f9(f3(x763,x762)))), % 0.52/0.73 inference(scs_inference,[],[7,6])). % 0.52/0.73 cnf(90,plain, % 0.52/0.73 (~P1(f12(f17(a24)),f9(f3(a1,a21)),a23)), % 0.52/0.73 inference(scs_inference,[],[32,34,35,37])). % 0.52/0.73 cnf(91,plain, % 0.52/0.73 (P1(f13(f17(a24),x911),f9(f3(a1,a21)),a23)+~P1(f13(f17(a24),x911),f10(f9(f3(a1,a21))),a23)), % 0.52/0.73 inference(scs_inference,[],[90,36])). % 0.52/0.73 cnf(108,plain, % 0.52/0.73 (~P1(f4(a5,a27,f15(a25,f15(f13(f17(a24),f15(a25,f12(a26))),f13(f17(a27),f15(x1081,f12(a26)))))),f6(a21,a16),a16)), % 0.52/0.73 inference(scs_inference,[],[44,41,2])). % 0.52/0.73 cnf(109,plain, % 0.52/0.73 (~P1(f13(f17(a24),f15(a25,f12(a26))),f11(f3(a1,a21)),a23)+~P1(f4(a24,a27,f15(a25,f15(f14(a24),f15(f14(a27),f13(f17(a24),f15(a25,f15(f14(a24),f14(a27)))))))),f6(a21,a16),a16)), % 0.52/0.73 inference(scs_inference,[],[108,43])). % 0.52/0.73 cnf(110,plain, % 0.52/0.73 (P1(f4(a24,a27,f15(a25,f15(f14(a24),f15(f14(a27),f13(f17(a24),f15(a25,f15(f14(a24),f14(a27)))))))),f6(a21,a16),a16)), % 0.52/0.73 inference(scs_inference,[],[44,42,2])). % 0.52/0.73 cnf(111,plain, % 0.52/0.73 (~P1(f13(f17(a24),f15(a25,f12(a26))),f11(f3(a1,a21)),a23)), % 0.52/0.73 inference(scs_inference,[],[110,109])). % 0.52/0.73 cnf(120,plain, % 0.52/0.73 (~P1(f13(f17(a24),f15(a25,f12(a26))),f10(f9(f3(a1,a21))),a23)), % 0.52/0.73 inference(scs_inference,[],[111,69,35,91])). % 0.52/0.73 cnf(129,plain, % 0.52/0.73 (~E(f9(f3(a1,a21)),x1291)+P1(a22,f10(x1291),x1292)+~E(a23,x1292)), % 0.52/0.73 inference(scs_inference,[],[61,8])). % 0.52/0.73 cnf(130,plain, % 0.52/0.73 (~E(a21,x1301)+P1(a22,f10(f9(f3(a1,x1301))),x1302)+~E(a23,x1302)), % 0.52/0.73 inference(scs_inference,[],[129,76])). % 0.52/0.73 cnf(131,plain, % 0.52/0.73 (P1(f13(f17(a24),f15(a25,f12(a26))),f18(f10(f9(f3(a1,a21))),f11(f3(a1,a21)),a23),a23)), % 0.52/0.73 inference(scs_inference,[],[67,130,40])). % 0.52/0.73 cnf(132,plain, % 0.52/0.73 ($false), % 0.52/0.73 inference(scs_inference,[],[111,131,120,38]), % 0.52/0.73 ['proof']). % 0.52/0.73 % SZS output end Proof % 0.52/0.73 % Total time :0.110000s %------------------------------------------------------------------------------