%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV326-2 : 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 : n025.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 16:46:44 EDT 2024 % Result : Unsatisfiable 58.66s 58.72s % Output : CNFRefutation 58.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SWV326-2 : 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 % 0.12/0.33 % Computer : n025.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 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Jun 20 15:48:39 EDT 2024 % 0.12/0.34 % CPUTime : % 0.53/0.56 start to proof:theBenchmark % 58.66/58.71 %------------------------------------------- % 58.66/58.71 % File :CSE---1.7 % 58.66/58.71 % Problem :theBenchmark % 58.66/58.71 % Transform :cnf % 58.66/58.71 % Format :tptp:raw % 58.66/58.71 % Command :java -jar mcs_scs.jar %d %s % 58.66/58.71 % 58.66/58.71 % Result :Theorem 58.100000s % 58.66/58.71 % Output :CNFRefutation 58.100000s % 58.66/58.71 %------------------------------------------- % 58.66/58.72 %------------------------------------------------------------------------------ % 58.66/58.72 % File : SWV326-2 : TPTP v8.2.0. Released v3.2.0. % 58.66/58.72 % Domain : Software Verification (Security) % 58.66/58.72 % Problem : Cryptographic protocol problem for Otway Rees % 58.66/58.72 % Version : [Pau06] axioms : Reduced > Especial. % 58.66/58.72 % English : % 58.66/58.72 % 58.66/58.72 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 58.66/58.72 % Source : [Pau06] % 58.66/58.72 % Names : % 58.66/58.72 % 58.66/58.72 % Status : Unsatisfiable % 58.66/58.72 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.05 v5.4.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.00 v4.0.0, 0.09 v3.7.0, 0.00 v3.5.0, 0.09 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0 % 58.66/58.72 % Syntax : Number of clauses : 8 ( 3 unt; 1 nHn; 8 RR) % 58.66/58.72 % Number of literals : 13 ( 4 equ; 5 neg) % 58.66/58.72 % Maximal clause size : 2 ( 1 avg) % 58.66/58.72 % Maximal term depth : 5 ( 2 avg) % 58.66/58.72 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty) % 58.66/58.72 % Number of functors : 18 ( 18 usr; 10 con; 0-2 aty) % 58.66/58.72 % Number of variables : 8 ( 2 sgn) % 58.66/58.72 % SPC : CNF_UNS_RFO_SEQ_NHN % 58.66/58.72 % 58.66/58.72 % Comments : The problems in the [Pau06] collection each have very many axioms, % 58.66/58.72 % of which only a small selection are required for the refutation. % 58.66/58.72 % The mission is to find those few axioms, after which a refutation % 58.66/58.72 % can be quite easily found. This version has only the necessary % 58.66/58.72 % axioms. % 58.66/58.72 %------------------------------------------------------------------------------ % 58.66/58.72 cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom, % 58.66/58.72 ( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 58.66/58.72 | c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ) ). % 58.66/58.72 % 58.66/58.72 cnf(cls_Message_OMPair__parts_1,axiom, % 58.66/58.72 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) % 58.66/58.72 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 58.66/58.72 % 58.66/58.72 cnf(cls_Message_Oparts_OBody__dest_0,axiom, % 58.66/58.72 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) % 58.66/58.72 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 58.66/58.72 % 58.66/58.72 cnf(cls_conjecture_2,negated_conjecture, % 58.66/58.72 ~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg) ). % 58.66/58.72 % 58.66/58.72 cnf(cls_conjecture_21,negated_conjecture, % 58.66/58.72 ( 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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) % 58.66/58.72 | v_C = v_Ba ) ). % 58.66/58.72 % 58.66/58.72 cnf(cls_conjecture_3,negated_conjecture, % 58.66/58.72 v_A = v_Aa ). % 58.66/58.72 % 58.66/58.72 cnf(cls_conjecture_32,negated_conjecture, % 58.66/58.72 ( v_Ba != v_C % 58.66/58.72 | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ) ). % 58.66/58.72 % 58.66/58.72 cnf(cls_conjecture_5,negated_conjecture, % 58.66/58.72 v_NA = c_Message_Omsg_ONonce(v_NAa) ). % 58.66/58.72 % 58.66/58.72 %------------------------------------------------------------------------------ % 58.66/58.72 %------------------------------------------- % 58.66/58.72 % Proof found % 58.66/58.72 % SZS status Theorem for theBenchmark % 58.66/58.72 % SZS output start Proof % 58.66/58.72 %ClaNum:25(EqnAxiom:17) % 58.66/58.72 %VarNum:14(SingletonVarNum:8) % 58.66/58.72 %MaxLitNum:2 % 58.66/58.72 %MaxfuncDepth:4 % 58.66/58.72 %SharedTerms:33 % 58.66/58.72 %goalClause: 18 19 20 24 25 % 58.66/58.72 %singleGoalClaCount:3 % 58.66/58.72 [18]E(a1,a2) % 58.66/58.72 [19]E(f3(a13),a14) % 58.66/58.72 [20]~P1(f3(a13),f4(a18),a10) % 58.66/58.72 [24]E(a15,a16)+P1(f6(f12(a2),f9(a14,f9(f8(a2),f8(a15)))),f11(f5(a7,a18)),a10) % 58.66/58.72 [25]~E(a15,a16)+P1(f6(f12(a1),f9(f3(a13),f9(f8(a1),f8(a17)))),f11(f5(a7,a18)),a10) % 58.66/58.72 [23]P1(x231,f4(x232),a10)+~P1(x231,f11(f5(a7,x232)),a10) % 58.66/58.72 [21]P1(x211,f11(x212),a10)+~P1(f6(x213,x211),f11(x212),a10) % 58.66/58.72 [22]P1(x221,f11(x222),a10)+~P1(f9(x221,x223),f11(x222),a10) % 58.66/58.72 %EqnAxiom % 58.66/58.72 [1]E(x11,x11) % 58.66/58.72 [2]E(x22,x21)+~E(x21,x22) % 58.66/58.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 58.66/58.72 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 58.66/58.72 [5]~E(x51,x52)+E(f11(x51),f11(x52)) % 58.66/58.72 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 58.66/58.72 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73)) % 58.66/58.72 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82)) % 58.66/58.72 [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93)) % 58.66/58.72 [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102)) % 58.66/58.72 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113)) % 58.66/58.72 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122)) % 58.66/58.72 [13]~E(x131,x132)+E(f8(x131),f8(x132)) % 58.66/58.72 [14]~E(x141,x142)+E(f12(x141),f12(x142)) % 58.66/58.72 [15]P1(x152,x153,x154)+~E(x151,x152)+~P1(x151,x153,x154) % 58.66/58.72 [16]P1(x163,x162,x164)+~E(x161,x162)+~P1(x163,x161,x164) % 58.66/58.72 [17]P1(x173,x174,x172)+~E(x171,x172)+~P1(x173,x174,x171) % 58.66/58.72 % 58.66/58.72 %------------------------------------------- % 58.66/58.73 cnf(26,plain, % 58.66/58.73 (E(a2,a1)), % 58.66/58.73 inference(scs_inference,[],[18,2])). % 58.66/58.73 cnf(47,plain, % 58.66/58.73 (P1(f6(f12(a1),f9(f3(a13),f9(f8(a1),f8(a17)))),f11(f5(a7,a18)),a10)+P1(f6(f12(a2),f9(a14,f9(f8(a2),f8(a15)))),f11(f5(a7,a18)),a10)), % 58.66/58.73 inference(scs_inference,[],[24,25])). % 58.66/58.73 cnf(52,plain, % 58.66/58.73 (P1(f9(f3(a13),f9(f8(a1),f8(a17))),f11(f5(a7,a18)),a10)+P1(f6(f12(a2),f9(a14,f9(f8(a2),f8(a15)))),f11(f5(a7,a18)),a10)), % 58.66/58.73 inference(scs_inference,[],[47,21])). % 58.66/58.73 cnf(57,plain, % 58.66/58.73 (P1(f3(a13),f11(f5(a7,a18)),a10)+P1(f6(f12(a2),f9(a14,f9(f8(a2),f8(a15)))),f11(f5(a7,a18)),a10)), % 58.66/58.73 inference(scs_inference,[],[52,22])). % 58.66/58.73 cnf(58,plain, % 58.66/58.73 (P1(f6(f12(a2),f9(a14,f9(f8(a2),f8(a15)))),f11(f5(a7,a18)),a10)), % 58.66/58.73 inference(scs_inference,[],[20,57,23])). % 58.66/58.73 cnf(67,plain, % 58.66/58.73 (E(f11(a1),f11(a2))), % 58.66/58.73 inference(scs_inference,[],[26,2,5])). % 58.66/58.73 cnf(68,plain, % 58.66/58.73 (E(f11(a2),f11(a1))), % 58.66/58.73 inference(scs_inference,[],[67,2])). % 58.66/58.73 cnf(557,plain, % 58.66/58.73 (~P1(a14,f4(a18),a10)), % 58.66/58.73 inference(scs_inference,[],[19,20,2,15])). % 58.66/58.73 cnf(1123,plain, % 58.66/58.73 ($false), % 58.66/58.73 inference(scs_inference,[],[68,557,58,4,5,6,13,14,7,9,10,11,12,23,21,22]), % 58.66/58.73 ['proof']). % 58.66/58.73 % SZS output end Proof % 58.66/58.73 % Total time :58.100000s %------------------------------------------------------------------------------