%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV305-2 : 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 : n026.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 16:46:36 EDT 2024 % Result : Unsatisfiable 2.16s 2.27s % Output : CNFRefutation 2.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SWV305-2 : TPTP v8.2.0. Released v3.2.0. % 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.11/0.31 % Computer : n026.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 300 % 0.11/0.31 % DateTime : Thu Jun 20 19:48:24 EDT 2024 % 0.11/0.31 % CPUTime : % 0.17/0.47 start to proof:theBenchmark % 2.16/2.26 %------------------------------------------- % 2.16/2.26 % File :CSE---1.7 % 2.16/2.26 % Problem :theBenchmark % 2.16/2.26 % Transform :cnf % 2.16/2.26 % Format :tptp:raw % 2.16/2.26 % Command :java -jar mcs_scs.jar %d %s % 2.16/2.26 % 2.16/2.26 % Result :Theorem 1.750000s % 2.16/2.26 % Output :CNFRefutation 1.750000s % 2.16/2.26 %------------------------------------------- % 2.16/2.27 %------------------------------------------------------------------------------ % 2.16/2.27 % File : SWV305-2 : TPTP v8.2.0. Released v3.2.0. % 2.16/2.27 % Domain : Software Verification (Security) % 2.16/2.27 % Problem : Cryptographic protocol problem for Otway Rees % 2.16/2.27 % Version : [Pau06] axioms : Reduced > Especial. % 2.16/2.27 % English : % 2.16/2.27 % 2.16/2.27 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 2.16/2.27 % Source : [Pau06] % 2.16/2.27 % Names : % 2.16/2.27 % 2.16/2.27 % Status : Unsatisfiable % 2.16/2.27 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.21 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v3.2.0 % 2.16/2.27 % Syntax : Number of clauses : 11 ( 5 unt; 2 nHn; 11 RR) % 2.16/2.27 % Number of literals : 21 ( 0 equ; 10 neg) % 2.16/2.27 % Maximal clause size : 3 ( 1 avg) % 2.16/2.27 % Maximal term depth : 6 ( 2 avg) % 2.16/2.27 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 2.16/2.27 % Number of functors : 25 ( 25 usr; 13 con; 0-3 aty) % 2.16/2.27 % Number of variables : 14 ( 0 sgn) % 2.16/2.27 % SPC : CNF_UNS_RFO_NEQ_NHN % 2.16/2.27 % 2.16/2.27 % Comments : The problems in the [Pau06] collection each have very many axioms, % 2.16/2.27 % of which only a small selection are required for the refutation. % 2.16/2.27 % The mission is to find those few axioms, after which a refutation % 2.16/2.27 % can be quite easily found. This version has only the necessary % 2.16/2.27 % axioms. % 2.16/2.27 %------------------------------------------------------------------------------ % 2.16/2.27 cnf(cls_conjecture_0,negated_conjecture, % 2.16/2.27 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 2.16/2.27 % 2.16/2.27 cnf(cls_conjecture_1,negated_conjecture, % 2.16/2.27 c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 2.16/2.27 % 2.16/2.27 cnf(cls_conjecture_2,negated_conjecture, % 2.16/2.27 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ). % 2.16/2.27 % 2.16/2.27 cnf(cls_conjecture_3,negated_conjecture, % 2.16/2.27 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) ). % 2.16/2.27 % 2.16/2.27 cnf(cls_conjecture_4,negated_conjecture, % 2.16/2.27 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ). % 2.16/2.27 % 2.16/2.27 cnf(cls_conjecture_5,negated_conjecture, % 2.16/2.27 ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) % 2.16/2.27 | ~ 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) ) ). % 2.16/2.27 % 2.16/2.27 cnf(cls_Message_OCrypt__synth_0,axiom, % 2.16/2.27 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 2.16/2.27 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 2.16/2.27 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ). % 2.16/2.27 % 2.16/2.27 cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom, % 2.16/2.27 ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) % 2.16/2.27 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 2.16/2.27 | 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) ) ). % 2.16/2.27 % 2.16/2.27 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom, % 2.16/2.27 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 2.16/2.27 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 2.16/2.27 % 2.16/2.27 cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom, % 2.16/2.27 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 2.16/2.27 | ~ 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) % 2.16/2.27 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 2.16/2.27 % 2.16/2.27 cnf(cls_Set_OUnE_0,axiom, % 2.16/2.27 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) % 2.16/2.27 | c_in(V_c,V_B,T_a) % 2.16/2.27 | c_in(V_c,V_A,T_a) ) ). % 2.16/2.27 % 2.16/2.27 %------------------------------------------------------------------------------ % 2.16/2.27 %------------------------------------------- % 2.16/2.27 % Proof found % 2.16/2.27 % SZS status Theorem for theBenchmark % 2.16/2.27 % SZS output start Proof % 2.16/2.27 %ClaNum:11(EqnAxiom:0) % 2.16/2.27 %VarNum:35(SingletonVarNum:14) % 2.16/2.27 %MaxLitNum:3 % 2.16/2.27 %MaxfuncDepth:5 % 2.16/2.27 %SharedTerms:38 % 2.16/2.27 %goalClause: 1 2 3 4 5 11 % 2.16/2.27 %singleGoalClaCount:5 % 2.16/2.27 [5]~P1(a21,a5,a20) % 2.16/2.27 [1]P1(a1,a2,f17(a13)) % 2.16/2.27 [2]P1(a18,f7(f6(f4(a3,a1))),a19) % 2.16/2.27 [3]P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f12(f15(a18,f4(a3,a1),a19)),a19) % 2.16/2.27 [4]P1(f10(f14(a21),f9(a25,f9(a22,f9(f8(a24),f8(a21))))),f12(f15(a18,f4(a3,a1),a19)),a19) % 2.16/2.27 [11]~P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f12(f4(a3,a1)),a19)+~P1(f10(f14(a21),f9(a25,f9(a22,f9(f8(a24),f8(a21))))),f12(f4(a3,a1)),a19) % 2.16/2.27 [6]~P1(x61,f6(x62),a19)+P1(x61,f12(x62),a19) % 2.16/2.27 [8]P1(x81,a5,a20)+~P1(x82,a2,f17(a13))+~P1(f11(f14(x81)),f12(f4(a3,x82)),a19) % 2.16/2.27 [7]P1(f11(x71),x72,a19)+P1(f10(x71,x73),x72,a19)+~P1(f10(x71,x73),f7(x72),a19) % 2.16/2.27 [10]~P1(x103,f7(f6(x102)),a19)+~P1(x101,f12(f15(x103,x102,a19)),a19)+P1(x101,f16(f7(f6(x102)),f12(x102),a19),a19) % 2.16/2.27 [9]P1(x91,x92,x93)+P1(x91,x94,x93)+~P1(x91,f16(x94,x92,x93),x93) % 2.16/2.27 %EqnAxiom % 2.16/2.27 % 2.16/2.27 %------------------------------------------- % 2.16/2.27 cnf(12,plain, % 2.16/2.27 (~P1(f11(f14(a21)),f6(f4(a3,a1)),a19)), % 2.16/2.27 inference(scs_inference,[],[1,5,6,8])). % 2.16/2.27 cnf(13,plain, % 2.16/2.27 (P1(f10(f14(a21),x131),f6(f4(a3,a1)),a19)+~P1(f10(f14(a21),x131),f7(f6(f4(a3,a1))),a19)), % 2.16/2.27 inference(scs_inference,[],[12,7])). % 2.16/2.27 cnf(26,plain, % 2.16/2.27 (~P1(f10(f14(a21),x261),f7(f6(f4(a3,a1))),a19)+P1(f10(f14(a21),x261),f12(f4(a3,a1)),a19)), % 2.16/2.27 inference(scs_inference,[],[6,13])). % 2.16/2.27 cnf(27,plain, % 2.16/2.27 (~P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f7(f6(f4(a3,a1))),a19)+~P1(f10(f14(a21),f9(a25,f9(a22,f9(f8(a24),f8(a21))))),f12(f4(a3,a1)),a19)), % 2.16/2.27 inference(scs_inference,[],[26,11])). % 2.16/2.27 cnf(271,plain, % 2.16/2.27 (P1(f10(f14(a21),f9(a25,f9(a22,f9(f8(a24),f8(a21))))),f12(f4(a3,a1)),a19)+P1(f10(f14(a21),f9(a25,f9(a22,f9(f8(a24),f8(a21))))),f7(f6(f4(a3,a1))),a19)), % 2.16/2.27 inference(scs_inference,[],[4,2,9,10])). % 2.16/2.27 cnf(294,plain, % 2.16/2.27 (P1(f10(f14(a21),f9(a25,f9(a22,f9(f8(a24),f8(a21))))),f12(f4(a3,a1)),a19)), % 2.16/2.27 inference(scs_inference,[],[26,271])). % 2.16/2.27 cnf(295,plain, % 2.16/2.27 (~P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f12(f4(a3,a1)),a19)), % 2.16/2.27 inference(scs_inference,[],[294,11])). % 2.16/2.27 cnf(298,plain, % 2.16/2.27 (~P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f7(f6(f4(a3,a1))),a19)), % 2.16/2.27 inference(scs_inference,[],[294,27])). % 2.16/2.27 cnf(318,plain, % 2.16/2.27 (P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f12(f4(a3,a1)),a19)+P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f7(f6(f4(a3,a1))),a19)), % 2.16/2.27 inference(scs_inference,[],[295,298,3,2,9,10])). % 2.16/2.27 cnf(319,plain, % 2.16/2.27 ($false), % 2.16/2.27 inference(scs_inference,[],[295,298,318]), % 2.16/2.27 ['proof']). % 2.16/2.27 % SZS output end Proof % 2.16/2.27 % Total time :1.750000s %------------------------------------------------------------------------------