%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV306-2 : 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 : n029.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 16:46:37 EDT 2024 % Result : Unsatisfiable 58.84s 58.90s % Output : CNFRefutation 58.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWV306-2 : TPTP v8.2.0. Released v3.2.0. % 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n029.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Jun 20 15:39:39 EDT 2024 % 0.13/0.34 % CPUTime : % 0.46/0.58 start to proof:theBenchmark % 58.84/58.89 %------------------------------------------- % 58.84/58.89 % File :CSE---1.7 % 58.84/58.89 % Problem :theBenchmark % 58.84/58.89 % Transform :cnf % 58.84/58.89 % Format :tptp:raw % 58.84/58.89 % Command :java -jar mcs_scs.jar %d %s % 58.84/58.89 % 58.84/58.89 % Result :Theorem 58.270000s % 58.84/58.89 % Output :CNFRefutation 58.270000s % 58.84/58.89 %------------------------------------------- % 58.84/58.90 %------------------------------------------------------------------------------ % 58.84/58.90 % File : SWV306-2 : TPTP v8.2.0. Released v3.2.0. % 58.84/58.90 % Domain : Software Verification (Security) % 58.84/58.90 % Problem : Cryptographic protocol problem for Otway Rees % 58.84/58.90 % Version : [Pau06] axioms : Reduced > Especial. % 58.84/58.90 % English : % 58.84/58.90 % 58.84/58.90 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 58.84/58.90 % Source : [Pau06] % 58.84/58.90 % Names : % 58.84/58.90 % 58.84/58.90 % Status : Unsatisfiable % 58.84/58.90 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.00 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.14 v3.2.0 % 58.84/58.90 % Syntax : Number of clauses : 7 ( 3 unt; 0 nHn; 7 RR) % 58.84/58.90 % Number of literals : 11 ( 1 equ; 5 neg) % 58.84/58.90 % Maximal clause size : 2 ( 1 avg) % 58.84/58.90 % Maximal term depth : 6 ( 2 avg) % 58.84/58.90 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty) % 58.84/58.90 % Number of functors : 16 ( 16 usr; 8 con; 0-2 aty) % 58.84/58.90 % Number of variables : 11 ( 3 sgn) % 58.84/58.90 % SPC : CNF_UNS_RFO_SEQ_HRN % 58.84/58.90 % 58.84/58.90 % Comments : The problems in the [Pau06] collection each have very many axioms, % 58.84/58.90 % of which only a small selection are required for the refutation. % 58.84/58.90 % The mission is to find those few axioms, after which a refutation % 58.84/58.90 % can be quite easily found. This version has only the necessary % 58.84/58.90 % axioms. % 58.84/58.90 %------------------------------------------------------------------------------ % 58.84/58.90 cnf(cls_conjecture_2,negated_conjecture, % 58.84/58.90 ~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg) ). % 58.84/58.90 % 58.84/58.90 cnf(cls_conjecture_4,negated_conjecture, % 58.84/58.90 v_NA = c_Message_Omsg_ONonce(v_NAa) ). % 58.84/58.90 % 58.84/58.90 cnf(cls_conjecture_7,negated_conjecture, % 58.84/58.90 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ). % 58.84/58.90 % 58.84/58.90 cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom, % 58.84/58.90 ( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 58.84/58.90 | c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ) ). % 58.84/58.90 % 58.84/58.90 cnf(cls_Message_OMPair__parts_0,axiom, % 58.84/58.90 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) % 58.84/58.90 | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 58.84/58.90 % 58.84/58.90 cnf(cls_Message_OMPair__parts_1,axiom, % 58.84/58.90 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) % 58.84/58.90 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 58.84/58.90 % 58.84/58.90 cnf(cls_Message_Oparts_OBody__dest_0,axiom, % 58.84/58.90 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) % 58.84/58.90 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 58.84/58.90 % 58.84/58.90 %------------------------------------------------------------------------------ % 58.84/58.90 %------------------------------------------- % 58.84/58.90 % Proof found % 58.84/58.90 % SZS status Theorem for theBenchmark % 58.84/58.90 % SZS output start Proof % 58.84/58.91 %ClaNum:24(EqnAxiom:17) % 58.84/58.91 %VarNum:19(SingletonVarNum:11) % 58.84/58.91 %MaxLitNum:2 % 58.84/58.91 %MaxfuncDepth:5 % 58.84/58.91 %SharedTerms:22 % 58.84/58.91 %goalClause: 18 19 20 % 58.84/58.91 %singleGoalClaCount:3 % 58.84/58.91 [18]E(f2(a1),a9) % 58.84/58.91 [20]~P1(f2(a1),f6(a16),a14) % 58.84/58.91 [19]P1(f8(f11(a10),f7(a15,f7(f2(a1),f7(f3(a13),f3(a10))))),f12(f5(a4,a16)),a14) % 58.84/58.91 [24]P1(x241,f6(x242),a14)+~P1(x241,f12(f5(a4,x242)),a14) % 58.84/58.91 [21]P1(x211,f12(x212),a14)+~P1(f7(x213,x211),f12(x212),a14) % 58.84/58.91 [22]P1(x221,f12(x222),a14)+~P1(f8(x223,x221),f12(x222),a14) % 58.84/58.91 [23]P1(x231,f12(x232),a14)+~P1(f7(x231,x233),f12(x232),a14) % 58.84/58.91 %EqnAxiom % 58.84/58.91 [1]E(x11,x11) % 58.84/58.91 [2]E(x22,x21)+~E(x21,x22) % 58.84/58.91 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 58.84/58.91 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 58.84/58.91 [5]~E(x51,x52)+E(f11(x51),f11(x52)) % 58.84/58.91 [6]~E(x61,x62)+E(f12(x61),f12(x62)) % 58.84/58.91 [7]~E(x71,x72)+E(f3(x71),f3(x72)) % 58.84/58.91 [8]~E(x81,x82)+E(f8(x81,x83),f8(x82,x83)) % 58.84/58.91 [9]~E(x91,x92)+E(f8(x93,x91),f8(x93,x92)) % 58.84/58.91 [10]~E(x101,x102)+E(f7(x101,x103),f7(x102,x103)) % 58.84/58.91 [11]~E(x111,x112)+E(f7(x113,x111),f7(x113,x112)) % 58.84/58.91 [12]~E(x121,x122)+E(f6(x121),f6(x122)) % 58.84/58.91 [13]~E(x131,x132)+E(f5(x131,x133),f5(x132,x133)) % 58.84/58.91 [14]~E(x141,x142)+E(f5(x143,x141),f5(x143,x142)) % 58.84/58.91 [15]P1(x152,x153,x154)+~E(x151,x152)+~P1(x151,x153,x154) % 58.84/58.91 [16]P1(x163,x162,x164)+~E(x161,x162)+~P1(x163,x161,x164) % 58.84/58.91 [17]P1(x173,x174,x172)+~E(x171,x172)+~P1(x173,x174,x171) % 58.84/58.91 % 58.84/58.91 %------------------------------------------- % 58.84/58.91 cnf(25,plain, % 58.84/58.91 (E(a9,f2(a1))), % 58.84/58.91 inference(scs_inference,[],[18,2])). % 58.84/58.91 cnf(34,plain, % 58.84/58.91 (P1(x341,f12(f5(a4,a16)),a14)+~E(f8(f11(a10),f7(a15,f7(f2(a1),f7(f3(a13),f3(a10))))),x341)), % 58.84/58.91 inference(scs_inference,[],[19,15])). % 58.84/58.91 cnf(54,plain, % 58.84/58.91 (~P1(f7(x541,f2(a1)),f12(f5(a4,a16)),a14)), % 58.84/58.91 inference(scs_inference,[],[20,21,24])). % 58.84/58.91 cnf(58,plain, % 58.84/58.91 (~P1(f8(x581,f7(x582,f2(a1))),f12(f5(a4,a16)),a14)), % 58.84/58.91 inference(scs_inference,[],[54,34,21,22])). % 58.84/58.91 cnf(60,plain, % 58.84/58.91 (~P1(f7(f7(x601,f2(a1)),x602),f12(f5(a4,a16)),a14)), % 58.84/58.91 inference(scs_inference,[],[54,34,21,22,23])). % 58.84/58.91 cnf(88,plain, % 58.84/58.91 (~P1(f7(f8(x881,f7(x882,f2(a1))),x883),f12(f5(a4,a16)),a14)), % 58.84/58.91 inference(scs_inference,[],[58,22,23])). % 58.84/58.91 cnf(90,plain, % 58.84/58.91 (~P1(f7(x901,f8(x902,f7(x903,f2(a1)))),f12(f5(a4,a16)),a14)), % 58.84/58.91 inference(scs_inference,[],[58,22,23,21])). % 58.84/58.92 cnf(93,plain, % 58.84/58.92 (E(f8(f2(a1),x931),f8(a9,x931))), % 58.84/58.92 inference(scs_inference,[],[25,2,8])). % 58.84/58.92 cnf(101,plain, % 58.84/58.92 (E(f8(x1011,a9),f8(x1011,f2(a1)))), % 58.84/58.92 inference(scs_inference,[],[18,2,9])). % 58.84/58.92 cnf(108,plain, % 58.84/58.92 (E(f8(x1081,f2(a1)),f8(x1081,a9))), % 58.84/58.92 inference(scs_inference,[],[101,88,22,23,21,2])). % 58.84/58.92 cnf(112,plain, % 58.84/58.92 (E(f7(f2(a1),x1121),f7(a9,x1121))), % 58.84/58.92 inference(scs_inference,[],[25,2,10])). % 58.84/58.92 cnf(120,plain, % 58.84/58.92 (E(f8(f2(a1),f2(a1)),f8(a9,a9))), % 58.84/58.92 inference(scs_inference,[],[108,112,93,90,22,21,23,2,3])). % 58.84/58.92 cnf(128,plain, % 58.84/58.92 (~P1(f7(x1281,f7(f7(x1282,f2(a1)),x1283)),f12(f5(a4,a16)),a14)), % 58.84/58.92 inference(scs_inference,[],[60,22,23,21])). % 58.84/58.92 cnf(145,plain, % 58.84/58.92 (E(f5(a9,x1451),f5(f2(a1),x1451))), % 58.84/58.92 inference(scs_inference,[],[18,2,13])). % 58.84/58.92 cnf(156,plain, % 58.84/58.92 (E(f5(x1561,f2(a1)),f5(x1561,a9))), % 58.84/58.92 inference(scs_inference,[],[25,2,14])). % 58.84/58.92 cnf(163,plain, % 58.84/58.92 (E(f5(x1631,a9),f5(x1631,f2(a1)))), % 58.84/58.92 inference(scs_inference,[],[156,128,22,21,23,2])). % 58.84/58.92 cnf(823,plain, % 58.84/58.92 (~P1(a9,f6(a16),a14)), % 58.84/58.92 inference(scs_inference,[],[18,20,2,15])). % 58.84/58.92 cnf(1491,plain, % 58.84/58.92 (E(f5(f2(a1),f2(a1)),f5(a9,a9))), % 58.84/58.92 inference(scs_inference,[],[145,163,3,2])). % 58.84/58.92 cnf(1546,plain, % 58.84/58.92 (P1(f7(f2(a1),f7(f3(a13),f3(a10))),f12(f5(a4,a16)),a14)), % 58.84/58.92 inference(scs_inference,[],[19,823,120,4,5,6,7,12,8,9,10,11,13,14,24,22,21])). % 58.84/58.92 cnf(1576,plain, % 58.84/58.92 ($false), % 58.84/58.92 inference(scs_inference,[],[1491,1546,20,12,9,7,8,4,13,5,10,11,14,6,24,21,23]), % 58.84/58.92 ['proof']). % 58.84/58.92 % SZS output end Proof % 58.84/58.92 % Total time :58.270000s %------------------------------------------------------------------------------