%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV300-2 : 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 16:46:35 EDT 2024 % Result : Unsatisfiable 1.79s 1.84s % Output : CNFRefutation 1.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SWV300-2 : 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 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Jun 20 15:04:54 EDT 2024 % 0.12/0.34 % CPUTime : % 0.53/0.58 start to proof:theBenchmark % 1.79/1.83 %------------------------------------------- % 1.79/1.83 % File :CSE---1.7 % 1.79/1.83 % Problem :theBenchmark % 1.79/1.83 % Transform :cnf % 1.79/1.83 % Format :tptp:raw % 1.79/1.83 % Command :java -jar mcs_scs.jar %d %s % 1.79/1.83 % 1.79/1.84 % Result :Theorem 1.220000s % 1.79/1.84 % Output :CNFRefutation 1.220000s % 1.79/1.84 %------------------------------------------- % 1.79/1.84 %------------------------------------------------------------------------------ % 1.79/1.84 % File : SWV300-2 : TPTP v8.2.0. Released v3.2.0. % 1.79/1.84 % Domain : Software Verification (Security) % 1.79/1.84 % Problem : Cryptographic protocol problem for Otway Rees % 1.79/1.84 % Version : [Pau06] axioms : Reduced > Especial. % 1.79/1.84 % English : % 1.79/1.84 % 1.79/1.84 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 1.79/1.84 % Source : [Pau06] % 1.79/1.84 % Names : % 1.79/1.84 % 1.79/1.84 % Status : Unsatisfiable % 1.79/1.84 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.38 v6.3.0, 0.29 v6.2.0, 0.11 v6.1.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.21 v4.1.0, 0.12 v4.0.1, 0.40 v4.0.0, 0.43 v3.4.0, 0.50 v3.3.0, 0.33 v3.2.0 % 1.79/1.84 % Syntax : Number of clauses : 14 ( 5 unt; 2 nHn; 14 RR) % 1.79/1.84 % Number of literals : 27 ( 0 equ; 13 neg) % 1.79/1.84 % Maximal clause size : 3 ( 1 avg) % 1.79/1.84 % Maximal term depth : 7 ( 2 avg) % 1.79/1.84 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 1.79/1.84 % Number of functors : 30 ( 30 usr; 16 con; 0-3 aty) % 1.79/1.84 % Number of variables : 26 ( 4 sgn) % 1.79/1.84 % SPC : CNF_UNS_RFO_NEQ_NHN % 1.79/1.84 % 1.79/1.84 % Comments : The problems in the [Pau06] collection each have very many axioms, % 1.79/1.84 % of which only a small selection are required for the refutation. % 1.79/1.84 % The mission is to find those few axioms, after which a refutation % 1.79/1.84 % can be quite easily found. This version has only the necessary % 1.79/1.84 % axioms. % 1.79/1.84 %------------------------------------------------------------------------------ % 1.79/1.84 cnf(cls_conjecture_0,negated_conjecture, % 1.79/1.84 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 1.79/1.84 % 1.79/1.84 cnf(cls_conjecture_1,negated_conjecture, % 1.79/1.84 c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 1.79/1.84 % 1.79/1.84 cnf(cls_conjecture_4,negated_conjecture, % 1.79/1.84 c_in(c_Event_Oevent_OSays(v_Aaa,v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_Ka)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ). % 1.79/1.84 % 1.79/1.84 cnf(cls_conjecture_5,negated_conjecture, % 1.79/1.84 ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ). % 1.79/1.84 % 1.79/1.84 cnf(cls_conjecture_7,negated_conjecture, % 1.79/1.84 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ). % 1.79/1.84 % 1.79/1.84 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom, % 1.79/1.84 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 1.79/1.84 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 1.79/1.84 % 1.79/1.84 cnf(cls_Message_OCrypt__synth_0,axiom, % 1.79/1.84 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.84 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 1.79/1.84 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ). % 1.79/1.84 % 1.79/1.84 cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom, % 1.79/1.84 ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) % 1.79/1.84 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 1.79/1.84 | 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) ) ). % 1.79/1.84 % 1.79/1.84 cnf(cls_Message_OMPair__analz_0,axiom, % 1.79/1.84 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.84 | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.84 % 1.79/1.84 cnf(cls_Message_OMPair__synth__analz__iff1_0,axiom, % 1.79/1.84 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 1.79/1.84 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 1.79/1.84 % 1.79/1.84 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom, % 1.79/1.84 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.84 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 1.79/1.84 % 1.79/1.84 cnf(cls_Message_Osynth_OInj_0,axiom, % 1.79/1.84 ( ~ c_in(V_X,V_H,tc_Message_Omsg) % 1.79/1.84 | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 1.79/1.84 % 1.79/1.84 cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom, % 1.79/1.84 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.84 | ~ 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) % 1.79/1.84 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 1.79/1.84 % 1.79/1.84 cnf(cls_Set_OUnE_0,axiom, % 1.79/1.84 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) % 1.79/1.84 | c_in(V_c,V_B,T_a) % 1.79/1.84 | c_in(V_c,V_A,T_a) ) ). % 1.79/1.84 % 1.79/1.84 %------------------------------------------------------------------------------ % 1.79/1.84 %------------------------------------------- % 1.79/1.84 % Proof found % 1.79/1.84 % SZS status Theorem for theBenchmark % 1.79/1.84 % SZS output start Proof % 1.79/1.84 %ClaNum:14(EqnAxiom:0) % 1.79/1.84 %VarNum:55(SingletonVarNum:26) % 1.79/1.84 %MaxLitNum:3 % 1.79/1.84 %MaxfuncDepth:6 % 1.79/1.84 %SharedTerms:40 % 1.79/1.84 %goalClause: 1 2 3 4 5 % 1.79/1.84 %singleGoalClaCount:5 % 1.79/1.84 [4]~P1(a20,a8,a22) % 1.79/1.84 [1]P1(a1,a2,f19(a15)) % 1.79/1.84 [2]P1(f4(f16(a20),f11(a23,f3(a24))),f12(f17(a28,f6(a5,a1),a21)),a21) % 1.79/1.84 [5]~P1(f4(f16(a20),f11(a23,f3(a24))),f12(f6(a5,a1)),a21) % 1.79/1.84 [3]P1(f7(a25,a26,f11(f13(a29),f11(a28,f4(f16(a26),f11(f13(a30),f3(a27)))))),f9(a1,a15),a15) % 1.79/1.84 [6]~P1(x61,x62,a21)+P1(x61,f14(x62),a21) % 1.79/1.84 [7]~P1(x71,f10(x72),a21)+P1(x71,f12(x72),a21) % 1.79/1.84 [8]P1(x81,f10(x82),a21)+~P1(f11(x83,x81),f10(x82),a21) % 1.79/1.84 [9]P1(x91,f14(f10(x92)),a21)+~P1(f11(x91,x93),f14(f10(x92)),a21) % 1.79/1.84 [13]~P1(f7(x133,x134,x131),f9(x132,a15),a15)+P1(x131,f10(f6(a5,x132)),a21) % 1.79/1.84 [11]P1(x111,a8,a22)+~P1(x112,a2,f19(a15))+~P1(f3(f16(x111)),f12(f6(a5,x112)),a21) % 1.79/1.84 [10]P1(f3(x101),x102,a21)+P1(f4(x101,x103),x102,a21)+~P1(f4(x101,x103),f14(x102),a21) % 1.79/1.84 [14]~P1(x143,f14(f10(x142)),a21)+~P1(x141,f12(f17(x143,x142,a21)),a21)+P1(x141,f18(f14(f10(x142)),f12(x142),a21),a21) % 1.79/1.84 [12]P1(x121,x122,x123)+P1(x121,x124,x123)+~P1(x121,f18(x124,x122,x123),x123) % 1.79/1.84 %EqnAxiom % 1.79/1.84 % 1.79/1.84 %------------------------------------------- % 1.79/1.85 cnf(15,plain, % 1.79/1.85 (~P1(f4(f16(a20),f11(a23,f3(a24))),f10(f6(a5,a1)),a21)), % 1.79/1.85 inference(scs_inference,[],[5,7])). % 1.79/1.85 cnf(36,plain, % 1.79/1.85 (~P1(f11(x361,x362),f10(x363),a21)+P1(x361,f14(f10(x363)),a21)), % 1.79/1.85 inference(scs_inference,[],[6,9])). % 1.79/1.85 cnf(103,plain, % 1.79/1.85 (~P1(f3(f16(a20)),f10(f6(a5,a1)),a21)), % 1.79/1.85 inference(scs_inference,[],[1,4,7,11])). % 1.79/1.85 cnf(108,plain, % 1.79/1.85 (~P1(f4(f16(a20),f11(a23,f3(a24))),f14(f10(f6(a5,a1))),a21)), % 1.79/1.85 inference(scs_inference,[],[15,103,13,8,10])). % 1.79/1.85 cnf(242,plain, % 1.79/1.85 (~P1(f11(a28,x2421),f10(f6(a5,a1)),a21)+P1(f4(f16(a20),f11(a23,f3(a24))),f18(f14(f10(f6(a5,a1))),f12(f6(a5,a1)),a21),a21)), % 1.79/1.85 inference(scs_inference,[],[2,36,14])). % 1.79/1.85 cnf(243,plain, % 1.79/1.85 (~P1(f11(a28,x2431),f10(f6(a5,a1)),a21)), % 1.79/1.85 inference(scs_inference,[],[5,108,242,12])). % 1.79/1.85 cnf(244,plain, % 1.79/1.85 (~P1(f11(x2441,f11(a28,x2442)),f10(f6(a5,a1)),a21)), % 1.79/1.85 inference(scs_inference,[],[243,8])). % 1.79/1.85 cnf(251,plain, % 1.79/1.85 ($false), % 1.79/1.85 inference(scs_inference,[],[3,244,8,13]), % 1.79/1.85 ['proof']). % 1.79/1.85 % SZS output end Proof % 1.79/1.85 % Total time :1.220000s %------------------------------------------------------------------------------