%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV281-2 : 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 : n027.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 16:46:29 EDT 2024 % Result : Unsatisfiable 47.10s 47.16s % Output : CNFRefutation 47.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SWV281-2 : 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 % 0.12/0.33 % Computer : n027.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 16:36:23 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 47.10/47.15 %------------------------------------------- % 47.10/47.15 % File :CSE---1.7 % 47.10/47.15 % Problem :theBenchmark % 47.10/47.15 % Transform :cnf % 47.10/47.15 % Format :tptp:raw % 47.10/47.15 % Command :java -jar mcs_scs.jar %d %s % 47.10/47.15 % 47.10/47.15 % Result :Theorem 46.570000s % 47.10/47.15 % Output :CNFRefutation 46.570000s % 47.10/47.15 %------------------------------------------- % 47.10/47.16 %------------------------------------------------------------------------------ % 47.10/47.16 % File : SWV281-2 : TPTP v8.2.0. Released v3.2.0. % 47.10/47.16 % Domain : Software Verification (Security) % 47.10/47.16 % Problem : Cryptographic protocol problem for public % 47.10/47.16 % Version : [Pau06] axioms : Reduced > Especial. % 47.10/47.16 % English : % 47.10/47.16 % 47.10/47.16 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 47.10/47.16 % Source : [Pau06] % 47.10/47.16 % Names : % 47.10/47.16 % 47.10/47.16 % Status : Unsatisfiable % 47.10/47.16 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.29 v6.0.0, 0.20 v5.5.0, 0.35 v5.3.0, 0.44 v5.2.0, 0.25 v5.1.0, 0.18 v5.0.0, 0.07 v4.1.0, 0.15 v4.0.1, 0.27 v3.7.0, 0.10 v3.5.0, 0.18 v3.4.0, 0.33 v3.3.0, 0.36 v3.2.0 % 47.10/47.16 % Syntax : Number of clauses : 6 ( 3 unt; 1 nHn; 3 RR) % 47.10/47.16 % Number of literals : 10 ( 5 equ; 4 neg) % 47.10/47.16 % Maximal clause size : 3 ( 1 avg) % 47.10/47.16 % Maximal term depth : 2 ( 1 avg) % 47.10/47.16 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty) % 47.10/47.16 % Number of functors : 11 ( 11 usr; 6 con; 0-3 aty) % 47.10/47.16 % Number of variables : 13 ( 4 sgn) % 47.10/47.16 % SPC : CNF_UNS_RFO_SEQ_NHN % 47.10/47.16 % 47.10/47.16 % Comments : The problems in the [Pau06] collection each have very many axioms, % 47.10/47.16 % of which only a small selection are required for the refutation. % 47.10/47.16 % The mission is to find those few axioms, after which a refutation % 47.10/47.16 % can be quite easily found. This version has only the necessary % 47.10/47.16 % axioms. % 47.10/47.16 %------------------------------------------------------------------------------ % 47.10/47.16 cnf(cls_conjecture_0,negated_conjecture, % 47.10/47.16 ( V_U = V_V % 47.10/47.16 | c_in(c_Message_Omsg_ONonce(V_V),c_Event_Oused(v_evs_H),tc_Message_Omsg) % 47.10/47.16 | c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_evs),tc_Message_Omsg) ) ). % 47.10/47.16 % 47.10/47.16 cnf(cls_List_Olist_Odistinct__1_0,axiom, % 47.10/47.16 c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ). % 47.10/47.16 % 47.10/47.16 cnf(cls_Nat_Ole__add2_0,axiom, % 47.10/47.16 c_lessequals(V_n,c_plus(V_m,V_n,tc_nat),tc_nat) ). % 47.10/47.16 % 47.10/47.16 cnf(cls_Nat_Onat__add__right__cancel_0,axiom, % 47.10/47.16 ( c_plus(V_m,V_k,tc_nat) != c_plus(V_n,V_k,tc_nat) % 47.10/47.16 | V_m = V_n ) ). % 47.10/47.16 % 47.10/47.16 cnf(cls_Nat_Oop_A_L_Oadd__0_0,axiom, % 47.10/47.16 c_plus(c_0,V_y,tc_nat) = V_y ). % 47.10/47.16 % 47.10/47.16 cnf(cls_Public_ONonce__supply__lemma_0,axiom, % 47.10/47.16 ( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(V_evs),tc_Message_Omsg) % 47.10/47.16 | ~ c_lessequals(v_sko__urX(V_evs),V_U,tc_nat) ) ). % 47.10/47.16 % 47.10/47.16 %------------------------------------------------------------------------------ % 47.10/47.16 %------------------------------------------- % 47.10/47.16 % Proof found % 47.10/47.16 % SZS status Theorem for theBenchmark % 47.10/47.16 % SZS output start Proof % 47.10/47.16 %ClaNum:24(EqnAxiom:18) % 47.10/47.16 %VarNum:22(SingletonVarNum:13) % 47.10/47.16 %MaxLitNum:3 % 47.10/47.16 %MaxfuncDepth:1 % 47.10/47.16 %SharedTerms:8 % 47.10/47.16 %goalClause: 22 % 47.10/47.16 [19]E(f3(a1,x191,a2),x191) % 47.10/47.16 [20]P1(x201,f3(x202,x201,a2),a2) % 47.10/47.16 [21]~E(f4(x211,x212,x213),a6) % 47.10/47.16 [24]~P2(f7(x242),f5(x241),a8)+~P1(f11(x241),x242,a2) % 47.10/47.16 [23]E(x231,x232)+~E(f3(x231,x233,a2),f3(x232,x233,a2)) % 47.10/47.16 [22]E(x221,x222)+P2(f7(x222),f5(a9),a8)+P2(f7(x221),f5(a10),a8) % 47.10/47.16 %EqnAxiom % 47.10/47.16 [1]E(x11,x11) % 47.10/47.16 [2]E(x22,x21)+~E(x21,x22) % 47.10/47.16 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 47.10/47.16 [4]~E(x41,x42)+E(f3(x41,x43,x44),f3(x42,x43,x44)) % 47.10/47.16 [5]~E(x51,x52)+E(f3(x53,x51,x54),f3(x53,x52,x54)) % 47.10/47.16 [6]~E(x61,x62)+E(f3(x63,x64,x61),f3(x63,x64,x62)) % 47.10/47.16 [7]~E(x71,x72)+E(f5(x71),f5(x72)) % 47.10/47.16 [8]~E(x81,x82)+E(f4(x81,x83,x84),f4(x82,x83,x84)) % 47.10/47.16 [9]~E(x91,x92)+E(f4(x93,x91,x94),f4(x93,x92,x94)) % 47.10/47.16 [10]~E(x101,x102)+E(f4(x103,x104,x101),f4(x103,x104,x102)) % 47.10/47.16 [11]~E(x111,x112)+E(f7(x111),f7(x112)) % 47.10/47.16 [12]~E(x121,x122)+E(f11(x121),f11(x122)) % 47.10/47.16 [13]P1(x132,x133,x134)+~E(x131,x132)+~P1(x131,x133,x134) % 47.10/47.16 [14]P1(x143,x142,x144)+~E(x141,x142)+~P1(x143,x141,x144) % 47.10/47.16 [15]P1(x153,x154,x152)+~E(x151,x152)+~P1(x153,x154,x151) % 47.10/47.16 [16]P2(x162,x163,x164)+~E(x161,x162)+~P2(x161,x163,x164) % 47.10/47.16 [17]P2(x173,x172,x174)+~E(x171,x172)+~P2(x173,x171,x174) % 47.10/47.16 [18]P2(x183,x184,x182)+~E(x181,x182)+~P2(x183,x184,x181) % 47.10/47.16 % 47.10/47.16 %------------------------------------------- % 47.10/47.17 cnf(26,plain, % 47.10/47.17 (E(x261,f3(a1,x261,a2))), % 47.10/47.17 inference(scs_inference,[],[19,2])). % 47.10/47.17 cnf(28,plain, % 47.10/47.17 (E(f3(a1,x281,a2),x281)), % 47.10/47.17 inference(rename_variables,[],[19])). % 47.10/47.17 cnf(30,plain, % 47.10/47.17 (P1(x301,f3(x302,x301,a2),a2)), % 47.10/47.17 inference(rename_variables,[],[20])). % 47.10/47.17 cnf(35,plain, % 47.10/47.17 (E(x351,f11(a9))+P2(f7(x351),f5(a10),a8)), % 47.10/47.17 inference(scs_inference,[],[19,28,21,20,30,2,3,13,14,24,22])). % 47.10/47.17 cnf(61,plain, % 47.10/47.17 (P1(x611,f3(x612,x611,a2),f3(a1,a2,a2))), % 47.10/47.17 inference(scs_inference,[],[26,20,15])). % 47.10/47.17 cnf(115,plain, % 47.10/47.17 (P1(x1151,f3(x1152,x1151,a2),f3(a1,a2,a2))), % 47.10/47.17 inference(rename_variables,[],[61])). % 47.10/47.17 cnf(116,plain, % 47.10/47.17 (P1(x1161,f3(a1,f3(x1162,x1161,a2),a2),f3(a1,a2,a2))), % 47.10/47.17 inference(scs_inference,[],[26,61,115,13,14])). % 47.10/47.17 cnf(122,plain, % 47.10/47.17 (P1(x1221,f3(a1,f3(x1222,x1221,a2),a2),a2)), % 47.10/47.17 inference(scs_inference,[],[26,116,20,13,14])). % 47.10/47.17 cnf(168,plain, % 47.10/47.17 (~E(f3(a6,x1681,a2),f3(f4(x1682,x1683,x1684),x1681,a2))), % 47.10/47.17 inference(scs_inference,[],[21,2,23])). % 47.10/47.17 cnf(247,plain, % 47.10/47.17 (E(f7(x2471),f7(f3(a1,x2471,a2)))), % 47.10/47.17 inference(scs_inference,[],[19,11,2])). % 47.10/47.17 cnf(290,plain, % 47.10/47.17 (P2(f7(f3(a1,x2901,a2)),f5(a10),a8)+E(x2901,f11(a9))), % 47.10/47.17 inference(scs_inference,[],[247,35,16])). % 47.10/47.17 cnf(1164,plain, % 47.10/47.17 (E(f3(x11641,f11(a10),a2),f11(a9))), % 47.10/47.17 inference(scs_inference,[],[122,24,290])). % 47.10/47.17 cnf(1165,plain, % 47.10/47.17 (E(f11(a9),f3(x11651,f11(a10),a2))), % 47.10/47.17 inference(scs_inference,[],[1164,2])). % 47.10/47.17 cnf(1272,plain, % 47.10/47.17 ($false), % 47.10/47.17 inference(scs_inference,[],[1164,168,1165,3]), % 47.10/47.17 ['proof']). % 47.10/47.17 % SZS output end Proof % 47.10/47.17 % Total time :46.570000s %------------------------------------------------------------------------------