%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV293-2 : 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 16:46:33 EDT 2024 % Result : Unsatisfiable 0.53s 0.74s % Output : CNFRefutation 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV293-2 : TPTP v8.2.0. Released v3.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n027.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 18:42:24 EDT 2024 % 0.13/0.33 % CPUTime : % 0.20/0.55 start to proof:theBenchmark % 0.53/0.73 %------------------------------------------- % 0.53/0.73 % File :CSE---1.7 % 0.53/0.73 % Problem :theBenchmark % 0.53/0.73 % Transform :cnf % 0.53/0.73 % Format :tptp:raw % 0.53/0.73 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.73 % 0.53/0.73 % Result :Theorem 0.150000s % 0.53/0.74 % Output :CNFRefutation 0.150000s % 0.53/0.74 %------------------------------------------- % 0.53/0.74 %------------------------------------------------------------------------------ % 0.53/0.74 % File : SWV293-2 : TPTP v8.2.0. Released v3.2.0. % 0.53/0.74 % Domain : Software Verification (Security) % 0.53/0.74 % Problem : Cryptographic protocol problem for Otway Rees % 0.53/0.74 % Version : [Pau06] axioms : Reduced > Especial. % 0.53/0.74 % English : % 0.53/0.74 % 0.53/0.74 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.53/0.74 % Source : [Pau06] % 0.53/0.74 % Names : % 0.53/0.74 % 0.53/0.74 % Status : Unsatisfiable % 0.53/0.74 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v7.5.0, 0.17 v7.0.0, 0.38 v6.3.0, 0.29 v6.2.0, 0.11 v6.1.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.0, 0.14 v3.4.0, 0.00 v3.2.0 % 0.53/0.74 % Syntax : Number of clauses : 9 ( 4 unt; 1 nHn; 9 RR) % 0.53/0.74 % Number of literals : 17 ( 0 equ; 9 neg) % 0.53/0.74 % Maximal clause size : 4 ( 1 avg) % 0.53/0.74 % Maximal term depth : 9 ( 2 avg) % 0.53/0.74 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.53/0.74 % Number of functors : 22 ( 22 usr; 10 con; 0-3 aty) % 0.53/0.74 % Number of variables : 16 ( 3 sgn) % 0.53/0.74 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.53/0.74 % 0.53/0.74 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.53/0.74 % of which only a small selection are required for the refutation. % 0.53/0.74 % The mission is to find those few axioms, after which a refutation % 0.53/0.74 % can be quite easily found. This version has only the necessary % 0.53/0.74 % axioms. % 0.53/0.74 %------------------------------------------------------------------------------ % 0.53/0.74 cnf(cls_conjecture_0,negated_conjecture, % 0.53/0.74 c_in(c_Event_Oevent_OGets(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_evs,tc_Event_Oevent),tc_Event_Oevent) ). % 0.53/0.74 % 0.53/0.74 cnf(cls_conjecture_1,negated_conjecture, % 0.53/0.74 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 0.53/0.74 % 0.53/0.74 cnf(cls_conjecture_2,negated_conjecture, % 0.53/0.74 c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 0.53/0.74 % 0.53/0.74 cnf(cls_conjecture_3,negated_conjecture, % 0.53/0.74 ~ 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_evs,tc_Event_Oevent),tc_Event_Oevent) ). % 0.53/0.74 % 0.53/0.74 cnf(cls_Message_OMPair__parts_0,axiom, % 0.53/0.74 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) % 0.53/0.74 | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.53/0.74 % 0.53/0.74 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom, % 0.53/0.74 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.53/0.74 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.53/0.74 % 0.53/0.74 cnf(cls_OtwayRees_OCrypt__imp__OR1__dest_0,axiom, % 0.53/0.74 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 0.53/0.74 | ~ 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_evs)),tc_Message_Omsg) % 0.53/0.74 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.53/0.74 | 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_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.53/0.74 % 0.53/0.74 cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom, % 0.53/0.74 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 0.53/0.74 | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.53/0.74 | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.53/0.74 % 0.53/0.74 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom, % 0.53/0.74 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.53/0.74 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 0.53/0.74 % 0.53/0.74 %------------------------------------------------------------------------------ % 0.53/0.74 %------------------------------------------- % 0.53/0.74 % Proof found % 0.53/0.74 % SZS status Theorem for theBenchmark % 0.53/0.74 % SZS output start Proof % 0.53/0.74 %ClaNum:9(EqnAxiom:0) % 0.53/0.74 %VarNum:42(SingletonVarNum:16) % 0.53/0.74 %MaxLitNum:4 % 0.53/0.74 %MaxfuncDepth:8 % 0.53/0.74 %SharedTerms:27 % 0.53/0.74 %goalClause: 1 2 3 4 % 0.53/0.74 %singleGoalClaCount:4 % 0.53/0.74 [3]~P1(a18,a5,a19) % 0.53/0.74 [1]P1(a1,a2,f16(a14)) % 0.53/0.74 [2]P1(f4(a17,f11(a21,f11(f3(a18),f11(f3(a17),f12(f15(a18),f11(a21,f11(f3(a18),f3(a17)))))))),f6(a1,a14),a14) % 0.53/0.74 [4]~P1(f7(a18,a17,f11(a21,f11(f3(a18),f11(f3(a17),f12(f15(a18),f11(a21,f11(f3(a18),f3(a17)))))))),f6(a1,a14),a14) % 0.53/0.74 [5]~P1(x51,f9(x52),a20)+P1(x51,f13(x52),a20) % 0.53/0.74 [6]P1(x61,f13(x62),a20)+~P1(f11(x63,x61),f13(x62),a20) % 0.53/0.74 [7]~P1(f7(x73,x74,x71),f6(x72,a14),a14)+P1(x71,f9(f8(a10,x72)),a20) % 0.53/0.74 [8]~P1(f4(x81,x82),f6(x83,a14),a14)+~P1(x83,a2,f16(a14))+P1(f7(f22(x81,x82,x83),x81,x82),f6(x83,a14),a14) % 0.53/0.74 [9]P1(x91,a5,a19)+~P1(x94,a2,f16(a14))+~P1(f12(f15(x91),f11(x93,f11(f3(x91),f3(x92)))),f13(f8(a10,x94)),a20)+P1(f7(x91,x92,f11(x93,f11(f3(x91),f11(f3(x92),f12(f15(x91),f11(x93,f11(f3(x91),f3(x92)))))))),f6(x94,a14),a14) % 0.53/0.74 %EqnAxiom % 0.53/0.74 % 0.53/0.74 %------------------------------------------- % 0.53/0.74 cnf(14,plain, % 0.53/0.74 (~P1(f11(x141,f12(f15(a18),f11(a21,f11(f3(a18),f3(a17))))),f13(f8(a10,a1)),a20)), % 0.53/0.74 inference(scs_inference,[],[1,3,4,9,5,6])). % 0.53/0.74 cnf(20,plain, % 0.53/0.74 (~P1(f11(x201,f11(x202,f12(f15(a18),f11(a21,f11(f3(a18),f3(a17)))))),f13(f8(a10,a1)),a20)), % 0.53/0.74 inference(scs_inference,[],[14,6])). % 0.53/0.74 cnf(29,plain, % 0.53/0.74 (~P1(f11(x291,f11(x292,f11(x293,f12(f15(a18),f11(a21,f11(f3(a18),f3(a17))))))),f13(f8(a10,a1)),a20)), % 0.53/0.74 inference(scs_inference,[],[20,6])). % 0.53/0.74 cnf(40,plain, % 0.53/0.74 (~P1(f11(x401,f11(x402,f11(x403,f12(f15(a18),f11(a21,f11(f3(a18),f3(a17))))))),f9(f8(a10,a1)),a20)), % 0.53/0.74 inference(scs_inference,[],[29,6,5])). % 0.53/0.74 cnf(266,plain, % 0.53/0.74 ($false), % 0.53/0.74 inference(scs_inference,[],[2,1,40,8,7]), % 0.53/0.74 ['proof']). % 0.53/0.75 % SZS output end Proof % 0.53/0.75 % Total time :0.150000s %------------------------------------------------------------------------------