%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV337-2 : 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 : n001.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 16:46:48 EDT 2024 % Result : Unsatisfiable 58.64s 58.86s % Output : CNFRefutation 58.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV337-2 : TPTP v8.2.0. Released v3.2.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n001.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 21:25:54 EDT 2024 % 0.13/0.33 % CPUTime : % 0.20/0.57 start to proof:theBenchmark % 58.64/58.84 %------------------------------------------- % 58.64/58.84 % File :CSE---1.7 % 58.64/58.84 % Problem :theBenchmark % 58.64/58.84 % Transform :cnf % 58.64/58.84 % Format :tptp:raw % 58.64/58.84 % Command :java -jar mcs_scs.jar %d %s % 58.64/58.84 % 58.64/58.84 % Result :Theorem 58.070000s % 58.64/58.84 % Output :CNFRefutation 58.070000s % 58.64/58.84 %------------------------------------------- % 58.64/58.86 %------------------------------------------------------------------------------ % 58.64/58.86 % File : SWV337-2 : TPTP v8.2.0. Released v3.2.0. % 58.64/58.86 % Domain : Software Verification (Security) % 58.64/58.86 % Problem : Cryptographic protocol problem for Yahalom % 58.64/58.86 % Version : [Pau06] axioms : Reduced > Especial. % 58.64/58.86 % English : % 58.64/58.86 % 58.64/58.86 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 58.64/58.86 % Source : [Pau06] % 58.64/58.86 % Names : % 58.64/58.86 % 58.64/58.86 % Status : Unsatisfiable % 58.64/58.86 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v7.0.0, 0.25 v6.3.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.00 v3.2.0 % 58.64/58.86 % Syntax : Number of clauses : 10 ( 4 unt; 1 nHn; 10 RR) % 58.64/58.86 % Number of literals : 20 ( 0 equ; 11 neg) % 58.64/58.86 % Maximal clause size : 4 ( 2 avg) % 58.64/58.86 % Maximal term depth : 8 ( 2 avg) % 58.64/58.86 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 58.64/58.86 % Number of functors : 27 ( 27 usr; 14 con; 0-3 aty) % 58.64/58.86 % Number of variables : 23 ( 4 sgn) % 58.64/58.86 % SPC : CNF_UNS_RFO_NEQ_NHN % 58.64/58.86 % 58.64/58.86 % Comments : The problems in the [Pau06] collection each have very many axioms, % 58.64/58.86 % of which only a small selection are required for the refutation. % 58.64/58.86 % The mission is to find those few axioms, after which a refutation % 58.64/58.86 % can be quite easily found. This version has only the necessary % 58.64/58.86 % axioms. % 58.64/58.86 %------------------------------------------------------------------------------ % 58.64/58.86 cnf(cls_conjecture_0,negated_conjecture, % 58.64/58.86 c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ). % 58.64/58.86 % 58.64/58.86 cnf(cls_conjecture_3,negated_conjecture, % 58.64/58.86 c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ). % 58.64/58.86 % 58.64/58.86 cnf(cls_conjecture_6,negated_conjecture, % 58.64/58.86 ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ). % 58.64/58.86 % 58.64/58.86 cnf(cls_conjecture_8,negated_conjecture, % 58.64/58.86 ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_U,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_U),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_V),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_W),c_Message_Omsg_ONonce(v_NB))))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_V),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_U),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ). % 58.64/58.86 % 58.64/58.86 cnf(cls_Message_OMPair__analz_0,axiom, % 58.64/58.86 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) % 58.64/58.86 | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 58.64/58.86 % 58.64/58.86 cnf(cls_Message_OMPair__analz_1,axiom, % 58.64/58.86 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) % 58.64/58.86 | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 58.64/58.86 % 58.64/58.86 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom, % 58.64/58.86 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 58.64/58.86 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 58.64/58.86 % 58.64/58.86 cnf(cls_Public_OCrypt__Spy__analz__bad_0,axiom, % 58.64/58.86 ( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 58.64/58.86 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 58.64/58.86 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 58.64/58.86 % 58.64/58.86 cnf(cls_Yahalom_OA__trusts__YM3_0,axiom, % 58.64/58.86 ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) % 58.64/58.86 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 58.64/58.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 58.64/58.86 | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(V_K),c_Message_Omsg_OMPair(V_na,V_nb)))),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_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 58.64/58.86 % 58.64/58.86 cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom, % 58.64/58.86 ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) % 58.64/58.86 | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 58.64/58.86 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 58.64/58.86 % 58.64/58.86 %------------------------------------------------------------------------------ % 58.64/58.86 %------------------------------------------- % 58.64/58.86 % Proof found % 58.64/58.86 % SZS status Theorem for theBenchmark % 58.64/58.86 % SZS output start Proof % 58.64/58.87 %ClaNum:10(EqnAxiom:0) % 58.64/58.87 %VarNum:50(SingletonVarNum:23) % 58.64/58.87 %MaxLitNum:4 % 58.64/58.87 %MaxfuncDepth:7 % 58.64/58.87 %SharedTerms:32 % 58.64/58.87 %goalClause: 1 2 3 4 % 58.64/58.87 %singleGoalClaCount:4 % 58.64/58.87 [1]P1(a1,a2,f19(a18)) % 58.64/58.87 [3]~P1(f15(a26),f12(f8(a10,a1)),a21) % 58.64/58.87 [2]P1(f5(a20,f16(f14(f3(a20),f16(f4(a23),f16(f13(a24),f16(f15(a25),f15(a26))))),a27)),f7(a1,a18),a18) % 58.64/58.87 [4]~P1(f9(a11,x41,f16(f14(f3(x41),f16(f4(x42),f16(f13(a24),f16(f15(x43),f15(a26))))),f14(f3(x42),f16(f4(x41),f13(a24))))),f7(a1,a18),a18) % 58.64/58.87 [5]~P1(x51,f12(x52),a21)+P1(x51,f17(x52),a21) % 58.64/58.87 [6]P1(x61,f12(x62),a21)+~P1(f16(x63,x61),f12(x62),a21) % 58.64/58.87 [7]P1(x71,f12(x72),a21)+~P1(f16(x71,x73),f12(x72),a21) % 58.64/58.87 [8]~P1(f5(x83,x81),f7(x82,a18),a18)+~P1(x82,a2,f19(a18))+P1(x81,f12(f8(a10,x82)),a21) % 58.64/58.87 [9]~P1(x93,a6,a22)+~P1(f14(f3(x93),x91),f12(f8(a10,x92)),a21)+P1(x91,f12(f8(a10,x92)),a21) % 58.64/58.87 [10]P1(x101,a6,a22)+~P1(x106,a2,f19(a18))+~P1(f14(f3(x101),f16(f4(x102),f16(f13(x103),f16(x104,x105)))),f17(f8(a10,x106)),a21)+P1(f9(a11,x101,f16(f14(f3(x101),f16(f4(x102),f16(f13(x103),f16(x104,x105)))),f14(f3(x102),f16(f4(x101),f13(x103))))),f7(x106,a18),a18) % 58.64/58.87 %EqnAxiom % 58.64/58.87 % 58.64/58.87 %------------------------------------------- % 58.64/58.89 cnf(11,plain, % 58.64/58.89 (~P1(f16(x111,f15(a26)),f12(f8(a10,a1)),a21)), % 58.64/58.89 inference(scs_inference,[],[3,6])). % 58.64/58.89 cnf(19,plain, % 58.64/58.89 (~P1(f16(x191,f16(x192,f15(a26))),f12(f8(a10,a1)),a21)), % 58.64/58.89 inference(scs_inference,[],[11,7,6])). % 58.64/58.89 cnf(107,plain, % 58.64/58.89 (~P1(f14(f3(x1071),f16(f4(x1072),f16(f13(a24),f16(f15(x1073),f15(a26))))),f12(f8(a10,a1)),a21)+P1(x1071,a6,a22)), % 58.64/58.89 inference(scs_inference,[],[4,1,5,10])). % 58.64/58.89 cnf(116,plain, % 58.64/58.89 (~P1(f16(x1161,f16(x1162,f16(x1163,f15(a26)))),f12(f8(a10,a1)),a21)), % 58.64/58.89 inference(scs_inference,[],[19,7,6])). % 58.64/58.89 cnf(3041,plain, % 58.64/58.89 (P1(f14(f3(a20),f16(f4(a23),f16(f13(a24),f16(f15(a25),f15(a26))))),f12(f8(a10,a1)),a21)), % 58.64/58.89 inference(scs_inference,[],[1,2,8,5,7])). % 58.64/58.89 cnf(3043,plain, % 58.64/58.89 (P1(a27,f12(f8(a10,a1)),a21)), % 58.64/58.89 inference(scs_inference,[],[1,2,8,5,7,6])). % 58.64/58.89 cnf(3045,plain, % 58.64/58.89 (P1(a20,a6,a22)), % 58.64/58.89 inference(scs_inference,[],[1,2,8,5,7,6,107])). % 58.64/58.89 cnf(3073,plain, % 58.64/58.89 ($false), % 58.64/58.89 inference(scs_inference,[],[3041,116,3043,3045,5,9]), % 58.64/58.89 ['proof']). % 58.64/58.90 % SZS output end Proof % 58.64/58.90 % Total time :58.070000s %------------------------------------------------------------------------------