%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV261-2 : 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 : n023.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 16:46:21 EDT 2024 % Result : Unsatisfiable 0.51s 0.62s % Output : CNFRefutation 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWV261-2 : TPTP v8.2.0. Released v3.2.0. % 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n023.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 16:05:23 EDT 2024 % 0.12/0.33 % CPUTime : % 0.51/0.57 start to proof:theBenchmark % 0.51/0.61 %------------------------------------------- % 0.51/0.61 % File :CSE---1.7 % 0.51/0.61 % Problem :theBenchmark % 0.51/0.61 % Transform :cnf % 0.51/0.61 % Format :tptp:raw % 0.51/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.51/0.61 % 0.51/0.61 % Result :Theorem 0.010000s % 0.51/0.61 % Output :CNFRefutation 0.010000s % 0.51/0.61 %------------------------------------------- % 0.51/0.61 %------------------------------------------------------------------------------ % 0.51/0.61 % File : SWV261-2 : TPTP v8.2.0. Released v3.2.0. % 0.51/0.61 % Domain : Software Verification (Security) % 0.51/0.61 % Problem : Cryptographic protocol problem for messages % 0.51/0.61 % Version : [Pau06] axioms : Reduced > Especial. % 0.51/0.61 % English : % 0.51/0.61 % 0.51/0.61 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.51/0.61 % Source : [Pau06] % 0.51/0.61 % Names : % 0.51/0.61 % 0.51/0.61 % Status : Unsatisfiable % 0.51/0.61 % Rating : 0.20 v8.2.0, 0.24 v8.1.0, 0.16 v7.5.0, 0.21 v7.4.0, 0.18 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.20 v6.3.0, 0.18 v6.2.0, 0.10 v6.1.0, 0.21 v6.0.0, 0.20 v5.4.0, 0.25 v5.3.0, 0.28 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0, 0.23 v4.0.1, 0.36 v4.0.0, 0.18 v3.7.0, 0.20 v3.5.0, 0.18 v3.4.0, 0.25 v3.3.0, 0.36 v3.2.0 % 0.51/0.61 % Syntax : Number of clauses : 10 ( 3 unt; 2 nHn; 6 RR) % 0.51/0.61 % Number of literals : 19 ( 1 equ; 8 neg) % 0.51/0.61 % Maximal clause size : 3 ( 1 avg) % 0.51/0.61 % Maximal term depth : 3 ( 1 avg) % 0.51/0.61 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty) % 0.51/0.61 % Number of functors : 9 ( 9 usr; 4 con; 0-3 aty) % 0.51/0.61 % Number of variables : 26 ( 2 sgn) % 0.51/0.61 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.51/0.61 % 0.51/0.61 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.51/0.61 % of which only a small selection are required for the refutation. % 0.51/0.61 % The mission is to find those few axioms, after which a refutation % 0.51/0.61 % can be quite easily found. This version has only the necessary % 0.51/0.61 % axioms. % 0.51/0.61 %------------------------------------------------------------------------------ % 0.51/0.61 cnf(cls_conjecture_0,negated_conjecture, % 0.51/0.61 c_in(v_X,v_G,tc_Message_Omsg) ). % 0.51/0.61 % 0.51/0.61 cnf(cls_conjecture_1,negated_conjecture, % 0.51/0.61 ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ). % 0.51/0.61 % 0.51/0.61 cnf(cls_Message_Oparts__Un__subset2_0,axiom, % 0.51/0.61 c_lessequals(c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)),c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ). % 0.51/0.61 % 0.51/0.61 cnf(cls_Message_Oparts__mono_0,axiom, % 0.51/0.61 ( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) % 0.51/0.61 | c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ) ). % 0.51/0.61 % 0.51/0.61 cnf(cls_Set_OUnCI_0,axiom, % 0.51/0.61 ( ~ c_in(V_c,V_B,T_a) % 0.51/0.61 | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ). % 0.51/0.61 % 0.51/0.61 cnf(cls_Set_OUnCI_1,axiom, % 0.51/0.61 ( ~ c_in(V_c,V_A,T_a) % 0.51/0.61 | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ). % 0.51/0.61 % 0.51/0.61 cnf(cls_Set_OinsertE_0,axiom, % 0.51/0.61 ( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a) % 0.51/0.61 | c_in(V_a,V_A,T_a) % 0.51/0.61 | V_a = V_b ) ). % 0.51/0.61 % 0.51/0.61 cnf(cls_Set_OsubsetI_0,axiom, % 0.51/0.61 ( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a) % 0.51/0.61 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ). % 0.51/0.61 % 0.51/0.61 cnf(cls_Set_OsubsetI_1,axiom, % 0.51/0.61 ( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a) % 0.51/0.61 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ). % 0.51/0.61 % 0.51/0.61 cnf(cls_Set_Osubset__trans_0,axiom, % 0.51/0.61 ( ~ c_lessequals(V_B,V_C,tc_set(T_a)) % 0.51/0.62 | ~ c_lessequals(V_A,V_B,tc_set(T_a)) % 0.51/0.62 | c_lessequals(V_A,V_C,tc_set(T_a)) ) ). % 0.51/0.62 % 0.51/0.62 %------------------------------------------------------------------------------ % 0.51/0.62 %------------------------------------------- % 0.51/0.62 % Proof found % 0.51/0.62 % SZS status Theorem for theBenchmark % 0.51/0.62 % SZS output start Proof % 0.51/0.62 %ClaNum:30(EqnAxiom:20) % 0.51/0.62 %VarNum:59(SingletonVarNum:26) % 0.51/0.62 %MaxLitNum:3 % 0.51/0.62 %MaxfuncDepth:2 % 0.51/0.62 %SharedTerms:12 % 0.51/0.62 %goalClause: 21 23 % 0.51/0.62 %singleGoalClaCount:2 % 0.51/0.62 [21]P1(a1,a2,a3) % 0.51/0.62 [23]~P2(f5(f7(a1,a9,a3)),f4(f5(a2),f5(a9),a3),f8(a3)) % 0.51/0.62 [22]P2(f5(f4(x221,x222,a3)),f4(f5(x221),f5(x222),a3),f8(a3)) % 0.51/0.62 [24]~P2(x241,x242,f8(a3))+P2(f5(x241),f5(x242),f8(a3)) % 0.51/0.62 [25]P1(f6(x251,x252,x253),x251,x253)+P2(x251,x252,f8(x253)) % 0.51/0.62 [30]~P1(f6(x301,x302,x303),x302,x303)+P2(x301,x302,f8(x303)) % 0.51/0.62 [26]~P1(x261,x263,x264)+P1(x261,f4(x262,x263,x264),x264) % 0.51/0.62 [27]~P1(x271,x272,x274)+P1(x271,f4(x272,x273,x274),x274) % 0.51/0.62 [28]P2(x281,x282,f8(x283))+~P2(x284,x282,f8(x283))+~P2(x281,x284,f8(x283)) % 0.51/0.62 [29]E(x291,x292)+P1(x291,x293,x294)+~P1(x291,f7(x292,x293,x294),x294) % 0.51/0.62 %EqnAxiom % 0.51/0.62 [1]E(x11,x11) % 0.51/0.62 [2]E(x22,x21)+~E(x21,x22) % 0.51/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.51/0.62 [4]~E(x41,x42)+E(f4(x41,x43,x44),f4(x42,x43,x44)) % 0.51/0.62 [5]~E(x51,x52)+E(f4(x53,x51,x54),f4(x53,x52,x54)) % 0.51/0.62 [6]~E(x61,x62)+E(f4(x63,x64,x61),f4(x63,x64,x62)) % 0.51/0.62 [7]~E(x71,x72)+E(f5(x71),f5(x72)) % 0.51/0.62 [8]~E(x81,x82)+E(f8(x81),f8(x82)) % 0.51/0.62 [9]~E(x91,x92)+E(f6(x91,x93,x94),f6(x92,x93,x94)) % 0.51/0.62 [10]~E(x101,x102)+E(f6(x103,x101,x104),f6(x103,x102,x104)) % 0.51/0.62 [11]~E(x111,x112)+E(f6(x113,x114,x111),f6(x113,x114,x112)) % 0.51/0.62 [12]~E(x121,x122)+E(f7(x121,x123,x124),f7(x122,x123,x124)) % 0.51/0.62 [13]~E(x131,x132)+E(f7(x133,x131,x134),f7(x133,x132,x134)) % 0.51/0.62 [14]~E(x141,x142)+E(f7(x143,x144,x141),f7(x143,x144,x142)) % 0.51/0.62 [15]P1(x152,x153,x154)+~E(x151,x152)+~P1(x151,x153,x154) % 0.51/0.62 [16]P1(x163,x162,x164)+~E(x161,x162)+~P1(x163,x161,x164) % 0.51/0.62 [17]P1(x173,x174,x172)+~E(x171,x172)+~P1(x173,x174,x171) % 0.51/0.62 [18]P2(x182,x183,x184)+~E(x181,x182)+~P2(x181,x183,x184) % 0.51/0.62 [19]P2(x193,x192,x194)+~E(x191,x192)+~P2(x193,x191,x194) % 0.51/0.62 [20]P2(x203,x204,x202)+~E(x201,x202)+~P2(x203,x204,x201) % 0.51/0.62 % 0.51/0.62 %------------------------------------------- % 0.51/0.62 cnf(32,plain, % 0.51/0.62 (P2(f5(f4(x321,x322,a3)),f4(f5(x321),f5(x322),a3),f8(a3))), % 0.51/0.62 inference(rename_variables,[],[22])). % 0.51/0.62 cnf(39,plain, % 0.51/0.62 (P1(x391,a2,a3)+~E(a1,x391)), % 0.51/0.62 inference(scs_inference,[],[21,23,22,32,28,18,24,7,15])). % 0.51/0.62 cnf(40,plain, % 0.51/0.62 (P1(f6(f7(a1,a9,a3),f4(a2,a9,a3),a3),f7(a1,a9,a3),a3)), % 0.51/0.62 inference(scs_inference,[],[21,23,22,32,28,18,24,7,15,25])). % 0.51/0.62 cnf(42,plain, % 0.51/0.62 (~P1(f6(f7(a1,a9,a3),f4(a2,a9,a3),a3),f4(a2,a9,a3),a3)), % 0.51/0.62 inference(scs_inference,[],[21,23,22,32,28,18,24,7,15,25,30])). % 0.51/0.62 cnf(61,plain, % 0.51/0.62 ($false), % 0.51/0.62 inference(scs_inference,[],[42,40,26,27,39,29,16,15,2]), % 0.51/0.62 ['proof']). % 0.51/0.62 % SZS output end Proof % 0.51/0.62 % Total time :0.010000s %------------------------------------------------------------------------------