%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV329-2 : 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 : 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 16:46:45 EDT 2024 % Result : Unsatisfiable 0.17s 0.54s % Output : CNFRefutation 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SWV329-2 : TPTP v8.2.0. Released v3.2.0. % 0.10/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.10/0.31 % Computer : n027.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 300 % 0.10/0.31 % DateTime : Thu Jun 20 14:18:54 EDT 2024 % 0.10/0.32 % CPUTime : % 0.17/0.47 start to proof:theBenchmark % 0.17/0.53 %------------------------------------------- % 0.17/0.53 % File :CSE---1.7 % 0.17/0.53 % Problem :theBenchmark % 0.17/0.53 % Transform :cnf % 0.17/0.53 % Format :tptp:raw % 0.17/0.53 % Command :java -jar mcs_scs.jar %d %s % 0.17/0.53 % 0.17/0.53 % Result :Theorem 0.020000s % 0.17/0.53 % Output :CNFRefutation 0.020000s % 0.17/0.53 %------------------------------------------- % 0.17/0.53 %------------------------------------------------------------------------------ % 0.17/0.53 % File : SWV329-2 : TPTP v8.2.0. Released v3.2.0. % 0.17/0.53 % Domain : Software Verification (Security) % 0.17/0.53 % Problem : Cryptographic protocol problem for Yahalom % 0.17/0.53 % Version : [Pau06] axioms : Reduced > Especial. % 0.17/0.53 % English : % 0.17/0.53 % 0.17/0.53 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.17/0.53 % Source : [Pau06] % 0.17/0.53 % Names : % 0.17/0.53 % 0.17/0.53 % Status : Unsatisfiable % 0.17/0.53 % Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 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 % 0.17/0.53 % Syntax : Number of clauses : 10 ( 5 unt; 2 nHn; 10 RR) % 0.17/0.53 % Number of literals : 19 ( 0 equ; 9 neg) % 0.17/0.53 % Maximal clause size : 3 ( 1 avg) % 0.17/0.53 % Maximal term depth : 4 ( 2 avg) % 0.17/0.53 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.17/0.53 % Number of functors : 23 ( 23 usr; 11 con; 0-3 aty) % 0.17/0.53 % Number of variables : 14 ( 0 sgn) % 0.17/0.53 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.17/0.53 % 0.17/0.53 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.17/0.53 % of which only a small selection are required for the refutation. % 0.17/0.53 % The mission is to find those few axioms, after which a refutation % 0.17/0.53 % can be quite easily found. This version has only the necessary % 0.17/0.53 % axioms. % 0.17/0.53 %------------------------------------------------------------------------------ % 0.17/0.53 cnf(cls_conjecture_0,negated_conjecture, % 0.17/0.53 c_in(v_evsf,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ). % 0.17/0.53 % 0.17/0.53 cnf(cls_conjecture_1,negated_conjecture, % 0.17/0.53 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ). % 0.17/0.53 % 0.17/0.53 cnf(cls_conjecture_4,negated_conjecture, % 0.17/0.53 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ). % 0.17/0.53 % 0.17/0.53 cnf(cls_conjecture_5,negated_conjecture, % 0.17/0.53 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ). % 0.17/0.53 % 0.17/0.53 cnf(cls_conjecture_6,negated_conjecture, % 0.17/0.53 ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ). % 0.17/0.53 % 0.17/0.53 cnf(cls_Message_OCrypt__synth__eq_0,axiom, % 0.17/0.53 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 0.17/0.53 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 0.17/0.53 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ). % 0.17/0.53 % 0.17/0.53 cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom, % 0.17/0.53 ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) % 0.17/0.53 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.17/0.54 | 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) ) ). % 0.17/0.54 % 0.17/0.54 cnf(cls_Message_Oanalz__conj__parts_0,axiom, % 0.17/0.54 ( ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.17/0.54 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.17/0.54 % 0.17/0.54 cnf(cls_Set_OUn__iff_0,axiom, % 0.17/0.54 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) % 0.17/0.54 | c_in(V_c,V_B,T_a) % 0.17/0.54 | c_in(V_c,V_A,T_a) ) ). % 0.17/0.54 % 0.17/0.54 cnf(cls_Yahalom_OSpy__analz__shrK_0,axiom, % 0.17/0.54 ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) % 0.17/0.54 | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.17/0.54 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 0.17/0.54 % 0.17/0.54 %------------------------------------------------------------------------------ % 0.17/0.54 %------------------------------------------- % 0.17/0.54 % Proof found % 0.17/0.54 % SZS status Theorem for theBenchmark % 0.17/0.54 % SZS output start Proof % 0.17/0.54 %ClaNum:10(EqnAxiom:0) % 0.17/0.54 %VarNum:35(SingletonVarNum:14) % 0.17/0.54 %MaxLitNum:3 % 0.17/0.54 %MaxfuncDepth:3 % 0.17/0.54 %SharedTerms:28 % 0.17/0.54 %goalClause: 1 2 3 4 5 % 0.17/0.54 %singleGoalClaCount:5 % 0.17/0.54 [4]~P1(a21,a5,a20) % 0.17/0.54 [1]P1(a1,a2,f17(a14)) % 0.17/0.54 [2]P1(a18,f7(f6(f4(a3,a1))),a19) % 0.17/0.54 [3]P1(f10(f13(a21),f11(f8(a22),f9(a23))),f12(f15(a18,f4(a3,a1),a19)),a19) % 0.17/0.54 [5]~P1(f10(f13(a21),f11(f8(a22),f9(a23))),f12(f4(a3,a1)),a19) % 0.17/0.54 [6]~P1(x61,f6(x62),a19)+P1(x61,f12(x62),a19) % 0.17/0.54 [8]P1(x81,a5,a20)+~P1(x82,a2,f17(a14))+~P1(f9(f13(x81)),f6(f4(a3,x82)),a19) % 0.17/0.54 [7]P1(f9(x71),x72,a19)+P1(f10(x71,x73),x72,a19)+~P1(f10(x71,x73),f7(x72),a19) % 0.17/0.54 [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) % 0.17/0.54 [9]P1(x91,x92,x93)+P1(x91,x94,x93)+~P1(x91,f16(x94,x92,x93),x93) % 0.17/0.54 %EqnAxiom % 0.17/0.54 % 0.17/0.54 %------------------------------------------- % 0.17/0.54 cnf(11,plain, % 0.17/0.54 (~P1(f10(f13(a21),f11(f8(a22),f9(a23))),f6(f4(a3,a1)),a19)), % 0.17/0.54 inference(scs_inference,[],[5,6])). % 0.17/0.54 cnf(14,plain, % 0.17/0.54 (~P1(f10(f13(a21),f11(f8(a22),f9(a23))),f7(f6(f4(a3,a1))),a19)), % 0.17/0.54 inference(scs_inference,[],[11,1,4,7,8])). % 0.17/0.54 cnf(29,plain, % 0.17/0.54 ($false), % 0.17/0.54 inference(scs_inference,[],[5,14,3,2,9,10]), % 0.17/0.54 ['proof']). % 0.17/0.54 % SZS output end Proof % 0.17/0.54 % Total time :0.020000s %------------------------------------------------------------------------------