%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV291-2 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n018.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 16:46:32 EDT 2024 % Result : Unsatisfiable 116.64s 116.90s % Output : CNFRefutation 116.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV291-2 : TPTP v8.2.0. Released v3.2.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n018.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Thu Jun 20 16:57:54 EDT 2024 % 0.13/0.34 % CPUTime : % 0.49/0.57 start to proof:theBenchmark % 116.61/116.88 %------------------------------------------- % 116.61/116.88 % File :CSE---1.7 % 116.61/116.88 % Problem :theBenchmark % 116.61/116.88 % Transform :cnf % 116.61/116.88 % Format :tptp:raw % 116.61/116.88 % Command :java -jar mcs_scs.jar %d %s % 116.61/116.88 % 116.61/116.88 % Result :Theorem 116.000000s % 116.61/116.88 % Output :CNFRefutation 116.000000s % 116.61/116.88 %------------------------------------------- % 116.64/116.89 %------------------------------------------------------------------------------ % 116.64/116.89 % File : SWV291-2 : TPTP v8.2.0. Released v3.2.0. % 116.64/116.89 % Domain : Software Verification (Security) % 116.64/116.89 % Problem : Cryptographic protocol problem for Otway Rees % 116.64/116.89 % Version : [Pau06] axioms : Reduced > Especial. % 116.64/116.89 % English : % 116.64/116.89 % 116.64/116.89 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 116.64/116.89 % Source : [Pau06] % 116.64/116.89 % Names : % 116.64/116.89 % 116.64/116.89 % Status : Unsatisfiable % 116.64/116.89 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v3.2.0 % 116.64/116.89 % Syntax : Number of clauses : 11 ( 5 unt; 2 nHn; 11 RR) % 116.64/116.89 % Number of literals : 21 ( 0 equ; 10 neg) % 116.64/116.89 % Maximal clause size : 3 ( 1 avg) % 116.64/116.89 % Maximal term depth : 9 ( 2 avg) % 116.64/116.89 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 116.64/116.89 % Number of functors : 25 ( 25 usr; 11 con; 0-3 aty) % 116.64/116.89 % Number of variables : 14 ( 0 sgn) % 116.64/116.89 % SPC : CNF_UNS_RFO_NEQ_NHN % 116.64/116.89 % 116.64/116.89 % Comments : The problems in the [Pau06] collection each have very many axioms, % 116.64/116.89 % of which only a small selection are required for the refutation. % 116.64/116.89 % The mission is to find those few axioms, after which a refutation % 116.64/116.89 % can be quite easily found. This version has only the necessary % 116.64/116.89 % axioms. % 116.64/116.89 %------------------------------------------------------------------------------ % 116.64/116.89 cnf(cls_conjecture_0,negated_conjecture, % 116.64/116.89 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 116.64/116.89 % 116.64/116.89 cnf(cls_conjecture_1,negated_conjecture, % 116.64/116.89 c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 116.64/116.89 % 116.64/116.89 cnf(cls_conjecture_2,negated_conjecture, % 116.64/116.89 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ). % 116.64/116.90 % 116.64/116.90 cnf(cls_conjecture_3,negated_conjecture, % 116.64/116.90 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_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ). % 116.64/116.90 % 116.64/116.90 cnf(cls_conjecture_4,negated_conjecture, % 116.64/116.90 ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ). % 116.64/116.90 % 116.64/116.90 cnf(cls_conjecture_5,negated_conjecture, % 116.64/116.90 ( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) % 116.64/116.90 | ~ 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_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ) ). % 116.64/116.90 % 116.64/116.90 cnf(cls_Message_OCrypt__synth_0,axiom, % 116.64/116.90 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 116.64/116.90 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 116.64/116.90 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ). % 116.64/116.90 % 116.64/116.90 cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom, % 116.64/116.90 ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) % 116.64/116.90 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 116.64/116.90 | 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) ) ). % 116.64/116.90 % 116.64/116.90 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom, % 116.64/116.90 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 116.64/116.90 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 116.64/116.90 % 116.64/116.90 cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom, % 116.64/116.90 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 116.64/116.90 | ~ 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) % 116.64/116.90 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 116.64/116.90 % 116.64/116.90 cnf(cls_Set_OUnE_0,axiom, % 116.64/116.90 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) % 116.64/116.90 | c_in(V_c,V_B,T_a) % 116.64/116.90 | c_in(V_c,V_A,T_a) ) ). % 116.64/116.90 % 116.64/116.90 %------------------------------------------------------------------------------ % 116.64/116.90 %------------------------------------------- % 116.64/116.90 % Proof found % 116.64/116.90 % SZS status Theorem for theBenchmark % 116.64/116.90 % SZS output start Proof % 116.64/116.90 %ClaNum:11(EqnAxiom:0) % 116.64/116.90 %VarNum:35(SingletonVarNum:14) % 116.64/116.90 %MaxLitNum:3 % 116.64/116.90 %MaxfuncDepth:8 % 116.64/116.90 %SharedTerms:36 % 116.64/116.90 %goalClause: 1 2 3 4 5 11 % 116.64/116.90 %singleGoalClaCount:5 % 116.64/116.90 [4]~P1(a23,a5,a22) % 116.64/116.90 [1]P1(a1,a2,f19(a15)) % 116.64/116.90 [2]P1(a20,f9(f8(f4(a3,a1))),a21) % 116.64/116.90 [3]P1(f12(f16(a23),f11(a24,f11(f10(a23),f10(a25)))),f14(f17(a20,f4(a3,a1),a21)),a21) % 116.64/116.90 [5]~P1(f6(a23,a25,f11(a24,f11(f10(a23),f11(f10(a25),f12(f16(a23),f11(a24,f11(f10(a23),f10(a25)))))))),f7(a1,a15),a15) % 116.64/116.90 [11]~P1(f12(f16(a23),f11(a24,f11(f10(a23),f10(a25)))),f14(f4(a3,a1)),a21)+P1(f6(a23,a25,f11(a24,f11(f10(a23),f11(f10(a25),f12(f16(a23),f11(a24,f11(f10(a23),f10(a25)))))))),f7(a1,a15),a15) % 116.64/116.90 [6]~P1(x61,f8(x62),a21)+P1(x61,f14(x62),a21) % 116.64/116.90 [8]P1(x81,a5,a22)+~P1(x82,a2,f19(a15))+~P1(f13(f16(x81)),f14(f4(a3,x82)),a21) % 116.64/116.90 [7]P1(f13(x71),x72,a21)+P1(f12(x71,x73),x72,a21)+~P1(f12(x71,x73),f9(x72),a21) % 116.64/116.90 [10]~P1(x103,f9(f8(x102)),a21)+~P1(x101,f14(f17(x103,x102,a21)),a21)+P1(x101,f18(f9(f8(x102)),f14(x102),a21),a21) % 116.64/116.90 [9]P1(x91,x92,x93)+P1(x91,x94,x93)+~P1(x91,f18(x94,x92,x93),x93) % 116.64/116.90 %EqnAxiom % 116.64/116.90 % 116.64/116.90 %------------------------------------------- % 116.73/116.97 cnf(12,plain, % 116.73/116.97 (~P1(f12(f16(a23),f11(a24,f11(f10(a23),f10(a25)))),f14(f4(a3,a1)),a21)), % 116.73/116.97 inference(scs_inference,[],[5,11])). % 116.73/116.97 cnf(13,plain, % 116.73/116.97 (~P1(f12(f16(a23),f11(a24,f11(f10(a23),f10(a25)))),f8(f4(a3,a1)),a21)), % 116.73/116.97 inference(scs_inference,[],[5,11,6])). % 116.73/116.97 cnf(17,plain, % 116.73/116.97 (~P1(a20,f18(f9(f8(f4(a3,a1))),f9(f8(f4(a3,a1))),a21),a21)+P1(f12(f16(a23),f11(a24,f11(f10(a23),f10(a25)))),f18(f9(f8(f4(a3,a1))),f14(f4(a3,a1)),a21),a21)), % 116.73/116.97 inference(scs_inference,[],[3,10,9])). % 116.73/116.97 cnf(18,plain, % 116.73/116.97 (P1(f12(f16(a23),f11(a24,f11(f10(a23),f10(a25)))),f9(f8(f4(a3,a1))),a21)+~P1(a20,f18(f9(f8(f4(a3,a1))),f9(f8(f4(a3,a1))),a21),a21)), % 116.73/116.97 inference(scs_inference,[],[12,17,9])). % 116.73/116.97 cnf(19,plain, % 116.73/116.97 (P1(f13(f16(a23)),f8(f4(a3,a1)),a21)+~P1(a20,f18(f9(f8(f4(a3,a1))),f9(f8(f4(a3,a1))),a21),a21)), % 116.73/116.97 inference(scs_inference,[],[13,18,7])). % 116.73/116.97 cnf(20,plain, % 116.73/116.97 (P1(f13(f16(a23)),f14(f4(a3,a1)),a21)+~P1(a20,f18(f9(f8(f4(a3,a1))),f9(f8(f4(a3,a1))),a21),a21)), % 116.73/116.97 inference(scs_inference,[],[19,6])). % 116.73/116.97 cnf(21,plain, % 116.73/116.97 (~P1(a20,f18(f9(f8(f4(a3,a1))),f9(f8(f4(a3,a1))),a21),a21)), % 116.73/116.97 inference(scs_inference,[],[1,4,20,8])). % 116.73/116.97 cnf(22,plain, % 116.73/116.97 (~P1(f13(f16(a23)),f8(f4(a3,a1)),a21)), % 116.73/116.97 inference(scs_inference,[],[1,4,6,8])). % 116.73/116.97 cnf(23,plain, % 116.73/116.97 (~P1(f12(f16(a23),f11(a24,f11(f10(a23),f10(a25)))),f9(f8(f4(a3,a1))),a21)), % 116.73/116.97 inference(scs_inference,[],[22,13,7])). % 116.73/116.97 cnf(107524,plain, % 116.73/116.97 (P1(f12(f16(a23),f11(a24,f11(f10(a23),f10(a25)))),f18(f9(f8(f4(a3,a1))),f14(f4(a3,a1)),a21),a21)), % 116.73/116.97 inference(scs_inference,[],[1,2,21,3,4,9,8,10])). % 116.73/116.97 cnf(112314,plain, % 116.73/116.97 ($false), % 116.73/116.97 inference(scs_inference,[],[12,23,107524,9]), % 116.73/116.97 ['proof']). % 116.79/117.03 % SZS output end Proof % 116.79/117.03 % Total time :116.000000s %------------------------------------------------------------------------------