%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV301-2 : 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 : n020.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 16:46:35 EDT 2024 % Result : Unsatisfiable 98.49s 98.52s % Output : CNFRefutation 98.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SWV301-2 : TPTP v8.2.0. Released v3.2.0. % 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n020.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Thu Jun 20 20:38:09 EDT 2024 % 0.13/0.33 % CPUTime : % 0.50/0.60 start to proof:theBenchmark % 98.49/98.51 %------------------------------------------- % 98.49/98.51 % File :CSE---1.7 % 98.49/98.51 % Problem :theBenchmark % 98.49/98.51 % Transform :cnf % 98.49/98.51 % Format :tptp:raw % 98.49/98.51 % Command :java -jar mcs_scs.jar %d %s % 98.49/98.51 % 98.49/98.51 % Result :Theorem 97.880000s % 98.49/98.51 % Output :CNFRefutation 97.880000s % 98.49/98.51 %------------------------------------------- % 98.49/98.52 %------------------------------------------------------------------------------ % 98.49/98.52 % File : SWV301-2 : TPTP v8.2.0. Released v3.2.0. % 98.49/98.52 % Domain : Software Verification (Security) % 98.49/98.52 % Problem : Cryptographic protocol problem for Otway Rees % 98.49/98.52 % Version : [Pau06] axioms : Reduced > Especial. % 98.49/98.52 % English : % 98.49/98.52 % 98.49/98.52 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 98.49/98.52 % Source : [Pau06] % 98.49/98.52 % Names : % 98.49/98.52 % 98.49/98.52 % Status : Unsatisfiable % 98.49/98.52 % 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, 0.13 v6.4.0, 0.07 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, 0.21 v4.1.0, 0.23 v4.0.1, 0.09 v3.7.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0 % 98.49/98.52 % Syntax : Number of clauses : 13 ( 6 unt; 3 nHn; 13 RR) % 98.49/98.52 % Number of literals : 25 ( 1 equ; 11 neg) % 98.49/98.52 % Maximal clause size : 3 ( 1 avg) % 98.49/98.52 % Maximal term depth : 11 ( 2 avg) % 98.49/98.52 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty) % 98.49/98.52 % Number of functors : 29 ( 29 usr; 15 con; 0-3 aty) % 98.49/98.52 % Number of variables : 15 ( 1 sgn) % 98.49/98.52 % SPC : CNF_UNS_RFO_SEQ_NHN % 98.49/98.52 % 98.49/98.52 % Comments : The problems in the [Pau06] collection each have very many axioms, % 98.49/98.52 % of which only a small selection are required for the refutation. % 98.49/98.52 % The mission is to find those few axioms, after which a refutation % 98.49/98.52 % can be quite easily found. This version has only the necessary % 98.49/98.52 % axioms. % 98.49/98.52 %------------------------------------------------------------------------------ % 98.49/98.52 cnf(cls_conjecture_0,negated_conjecture, % 98.49/98.52 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ). % 98.49/98.52 % 98.49/98.52 cnf(cls_conjecture_1,negated_conjecture, % 98.49/98.52 c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 98.49/98.52 % 98.49/98.52 cnf(cls_conjecture_2,negated_conjecture, % 98.49/98.52 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ). % 98.49/98.52 % 98.49/98.52 cnf(cls_conjecture_3,negated_conjecture, % 98.49/98.52 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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ). % 98.49/98.52 % 98.49/98.52 cnf(cls_conjecture_4,negated_conjecture, % 98.49/98.52 ~ 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_evsf,tc_Event_Oevent),tc_Event_Oevent) ). % 98.49/98.52 % 98.49/98.52 cnf(cls_conjecture_5,negated_conjecture, % 98.49/98.52 ( 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,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_evsf,tc_Event_Oevent),tc_Event_Oevent) % 98.49/98.52 | v_B = c_Message_Oagent_OSpy ) ). % 98.49/98.52 % 98.49/98.52 cnf(cls_conjecture_8,negated_conjecture, % 98.49/98.52 ( 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_evsf,tc_Event_Oevent),tc_Event_Oevent) % 98.49/98.52 | ~ 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_U,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_evsf,tc_Event_Oevent),tc_Event_Oevent) % 98.49/98.52 | ~ 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_evsf)),tc_Message_Omsg) ) ). % 98.49/98.52 % 98.49/98.52 cnf(cls_Event_OSpy_A_58_Abad_0,axiom, % 98.49/98.52 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ). % 98.49/98.52 % 98.49/98.52 cnf(cls_Message_OCrypt__synth_0,axiom, % 98.49/98.52 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 98.49/98.52 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 98.49/98.52 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ). % 98.49/98.52 % 98.49/98.52 cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom, % 98.49/98.52 ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) % 98.49/98.52 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 98.49/98.52 | 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) ) ). % 98.49/98.52 % 98.49/98.52 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom, % 98.49/98.52 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 98.49/98.52 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 98.49/98.52 % 98.49/98.52 cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom, % 98.49/98.52 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 98.49/98.52 | ~ 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) % 98.49/98.52 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 98.49/98.52 % 98.49/98.52 cnf(cls_Set_OUnE_0,axiom, % 98.49/98.52 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) % 98.49/98.52 | c_in(V_c,V_B,T_a) % 98.49/98.52 | c_in(V_c,V_A,T_a) ) ). % 98.49/98.52 % 98.49/98.52 %------------------------------------------------------------------------------ % 98.49/98.52 %------------------------------------------- % 98.49/98.52 % Proof found % 98.49/98.52 % SZS status Theorem for theBenchmark % 98.49/98.52 % SZS output start Proof % 98.49/98.52 %ClaNum:43(EqnAxiom:30) % 98.49/98.52 %VarNum:36(SingletonVarNum:15) % 98.49/98.52 %MaxLitNum:3 % 98.49/98.52 %MaxfuncDepth:10 % 98.49/98.52 %SharedTerms:54 % 98.49/98.52 %goalClause: 32 33 34 35 36 42 43 % 98.49/98.52 %singleGoalClaCount:5 % 98.49/98.52 [31]P1(a1,a2,a7) % 98.49/98.52 [35]~P1(a24,a2,a7) % 98.49/98.52 [32]P1(a21,a8,f20(a16)) % 98.49/98.52 [33]P1(a22,f10(f9(f3(a1,a21))),a23) % 98.49/98.52 [34]P1(f12(f17(a24),f14(a26,f11(a27))),f15(f18(a22,f3(a1,a21),a23)),a23) % 98.49/98.52 [36]~P1(f4(a5,a24,f14(a28,f14(f12(f17(a25),f14(a28,f11(a27))),f12(f17(a24),f14(a26,f11(a27)))))),f6(a21,a16),a16) % 98.49/98.52 [42]E(a24,a1)+P1(f4(a24,a5,f14(a28,f14(f13(a25),f14(f13(a24),f14(a29,f12(f17(a24),f14(a28,f14(a26,f14(f13(a25),f13(a24)))))))))),f6(a21,a16),a16) % 98.49/98.52 [37]~P1(x371,f9(x372),a23)+P1(x371,f15(x372),a23) % 98.49/98.52 [43]~P1(f12(f17(a24),f14(a26,f11(a27))),f15(f3(a1,a21)),a23)+P1(f4(a5,a24,f14(a28,f14(f12(f17(a25),f14(a28,f11(a27))),f12(f17(a24),f14(a26,f11(a27)))))),f6(a21,a16),a16)+~P1(f4(a24,a5,f14(a28,f14(f13(a25),f14(f13(a24),f14(x431,f12(f17(a24),f14(a28,f14(a26,f14(f13(a25),f13(a24)))))))))),f6(a21,a16),a16) % 98.49/98.52 [39]P1(x391,a2,a7)+~P1(x392,a8,f20(a16))+~P1(f11(f17(x391)),f15(f3(a1,x392)),a23) % 98.49/98.52 [38]P1(f11(x381),x382,a23)+P1(f12(x381,x383),x382,a23)+~P1(f12(x381,x383),f10(x382),a23) % 98.49/98.52 [41]~P1(x413,f10(f9(x412)),a23)+~P1(x411,f15(f18(x413,x412,a23)),a23)+P1(x411,f19(f10(f9(x412)),f15(x412),a23),a23) % 98.49/98.52 [40]P1(x401,x402,x403)+P1(x401,x404,x403)+~P1(x401,f19(x404,x402,x403),x403) % 98.49/98.52 %EqnAxiom % 98.49/98.52 [1]E(x11,x11) % 98.49/98.52 [2]E(x22,x21)+~E(x21,x22) % 98.49/98.52 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 98.49/98.52 [4]~E(x41,x42)+E(f20(x41),f20(x42)) % 98.49/98.52 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53)) % 98.49/98.52 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62)) % 98.49/98.52 [7]~E(x71,x72)+E(f9(x71),f9(x72)) % 98.49/98.52 [8]~E(x81,x82)+E(f10(x81),f10(x82)) % 98.49/98.52 [9]~E(x91,x92)+E(f17(x91),f17(x92)) % 98.49/98.52 [10]~E(x101,x102)+E(f11(x101),f11(x102)) % 98.49/98.52 [11]~E(x111,x112)+E(f14(x111,x113),f14(x112,x113)) % 98.49/98.52 [12]~E(x121,x122)+E(f14(x123,x121),f14(x123,x122)) % 98.49/98.52 [13]~E(x131,x132)+E(f12(x131,x133),f12(x132,x133)) % 98.49/98.52 [14]~E(x141,x142)+E(f12(x143,x141),f12(x143,x142)) % 98.49/98.52 [15]~E(x151,x152)+E(f4(x151,x153,x154),f4(x152,x153,x154)) % 98.49/98.52 [16]~E(x161,x162)+E(f4(x163,x161,x164),f4(x163,x162,x164)) % 98.49/98.52 [17]~E(x171,x172)+E(f4(x173,x174,x171),f4(x173,x174,x172)) % 98.49/98.52 [18]~E(x181,x182)+E(f18(x181,x183,x184),f18(x182,x183,x184)) % 98.49/98.52 [19]~E(x191,x192)+E(f18(x193,x191,x194),f18(x193,x192,x194)) % 98.49/98.52 [20]~E(x201,x202)+E(f18(x203,x204,x201),f18(x203,x204,x202)) % 98.49/98.52 [21]~E(x211,x212)+E(f15(x211),f15(x212)) % 98.49/98.52 [22]~E(x221,x222)+E(f13(x221),f13(x222)) % 98.49/98.52 [23]~E(x231,x232)+E(f6(x231,x233),f6(x232,x233)) % 98.49/98.52 [24]~E(x241,x242)+E(f6(x243,x241),f6(x243,x242)) % 98.49/98.52 [25]~E(x251,x252)+E(f19(x251,x253,x254),f19(x252,x253,x254)) % 98.49/98.52 [26]~E(x261,x262)+E(f19(x263,x261,x264),f19(x263,x262,x264)) % 98.49/98.52 [27]~E(x271,x272)+E(f19(x273,x274,x271),f19(x273,x274,x272)) % 98.49/98.52 [28]P1(x282,x283,x284)+~E(x281,x282)+~P1(x281,x283,x284) % 98.49/98.52 [29]P1(x293,x292,x294)+~E(x291,x292)+~P1(x293,x291,x294) % 98.49/98.52 [30]P1(x303,x304,x302)+~E(x301,x302)+~P1(x303,x304,x301) % 98.49/98.52 % 98.49/98.52 %------------------------------------------- % 98.49/98.53 cnf(44,plain, % 98.49/98.53 (~E(a1,a24)), % 98.49/98.53 inference(scs_inference,[],[35,31,28])). % 98.49/98.53 cnf(49,plain, % 98.49/98.53 (~P1(f12(f17(a24),f14(a26,f11(a27))),f15(f3(a1,a21)),a23)+~P1(f4(a24,a5,f14(a28,f14(f13(a25),f14(f13(a24),f14(x491,f12(f17(a24),f14(a28,f14(a26,f14(f13(a25),f13(a24)))))))))),f6(a21,a16),a16)), % 98.49/98.53 inference(scs_inference,[],[36,43])). % 98.49/98.53 cnf(50,plain, % 98.49/98.53 (P1(f12(f17(a24),f14(a26,f11(a27))),x501,a23)+~E(f15(f18(a22,f3(a1,a21),a23)),x501)), % 98.49/98.53 inference(scs_inference,[],[34,29])). % 98.49/98.53 cnf(79,plain, % 98.49/98.53 (P1(f4(a24,a5,f14(a28,f14(f13(a25),f14(f13(a24),f14(a29,f12(f17(a24),f14(a28,f14(a26,f14(f13(a25),f13(a24)))))))))),f6(a21,a16),a16)), % 98.49/98.53 inference(scs_inference,[],[44,2,42])). % 98.49/98.53 cnf(80,plain, % 98.49/98.53 (~P1(f12(f17(a24),f14(a26,f11(a27))),f15(f3(a1,a21)),a23)), % 98.49/98.53 inference(scs_inference,[],[79,49])). % 98.49/98.53 cnf(88,plain, % 98.49/98.53 (~P1(f12(f17(a24),f14(a26,f11(a27))),f9(f3(a1,a21)),a23)), % 98.49/98.53 inference(scs_inference,[],[80,50,37])). % 98.49/98.53 cnf(121,plain, % 98.49/98.53 (~P1(f12(f17(a24),f14(a26,f11(a27))),f10(f15(f3(a1,a21))),a23)), % 98.49/98.53 inference(scs_inference,[],[80,32,35,38,39])). % 98.49/98.53 cnf(556,plain, % 98.49/98.53 (~P1(f11(f17(a24)),f15(f3(a1,a21)),a23)), % 98.49/98.53 inference(scs_inference,[],[32,35,39])). % 98.49/98.53 cnf(558,plain, % 98.49/98.53 (P1(f12(f17(a24),f14(a26,f11(a27))),f19(f10(f9(f3(a1,a21))),f15(f3(a1,a21)),a23),a23)), % 98.49/98.53 inference(scs_inference,[],[32,35,34,33,39,41])). % 98.49/98.53 cnf(590,plain, % 98.49/98.53 (~P1(f12(f17(a24),f14(a26,f11(a27))),f19(f10(f15(f3(a1,a21))),f10(f15(f3(a1,a21))),a23),a23)), % 98.49/98.53 inference(scs_inference,[],[121,40])). % 98.49/98.53 cnf(592,plain, % 98.49/98.53 (~P1(f12(f17(a24),f14(a26,f11(a27))),f19(f19(f10(f15(f3(a1,a21))),f10(f15(f3(a1,a21))),a23),f19(f10(f15(f3(a1,a21))),f10(f15(f3(a1,a21))),a23),a23),a23)), % 98.49/98.53 inference(scs_inference,[],[590,40])). % 98.49/98.53 cnf(665,plain, % 98.49/98.53 (~P1(f12(f17(a24),f14(a26,f11(a27))),f19(f19(f19(f10(f15(f3(a1,a21))),f10(f15(f3(a1,a21))),a23),f19(f10(f15(f3(a1,a21))),f10(f15(f3(a1,a21))),a23),a23),f19(f19(f10(f15(f3(a1,a21))),f10(f15(f3(a1,a21))),a23),f19(f10(f15(f3(a1,a21))),f10(f15(f3(a1,a21))),a23),a23),a23),a23)), % 98.49/98.53 inference(scs_inference,[],[592,40])). % 98.49/98.53 cnf(793,plain, % 98.49/98.53 (~E(f15(f18(a22,f3(a1,a21),a23)),f19(f19(f19(f10(f15(f3(a1,a21))),f10(f15(f3(a1,a21))),a23),f19(f10(f15(f3(a1,a21))),f10(f15(f3(a1,a21))),a23),a23),f19(f19(f10(f15(f3(a1,a21))),f10(f15(f3(a1,a21))),a23),f19(f10(f15(f3(a1,a21))),f10(f15(f3(a1,a21))),a23),a23),a23))), % 98.49/98.53 inference(scs_inference,[],[665,34,29])). % 98.49/98.53 cnf(800,plain, % 98.49/98.53 (~P1(f12(f17(a24),f14(a26,f11(a27))),f10(f9(f3(a1,a21))),a23)+P1(f11(f17(a24)),f9(f3(a1,a21)),a23)), % 98.49/98.53 inference(scs_inference,[],[793,88,2,38])). % 98.49/98.53 cnf(844,plain, % 98.49/98.53 (~P1(f12(f17(a24),f14(a26,f11(a27))),f10(f9(f3(a1,a21))),a23)), % 98.49/98.53 inference(scs_inference,[],[556,800,37])). % 98.49/98.53 cnf(2365,plain, % 98.49/98.53 ($false), % 98.49/98.53 inference(scs_inference,[],[844,80,558,40]), % 98.49/98.53 ['proof']). % 98.49/98.53 % SZS output end Proof % 98.49/98.53 % Total time :97.880000s %------------------------------------------------------------------------------