%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV309-2 : 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 : 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 16:46:38 EDT 2024 % Result : Unsatisfiable 0.53s 0.59s % Output : CNFRefutation 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV309-2 : TPTP v8.2.0. Released v3.2.0. % 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n026.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Jun 20 17:25:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 0.53/0.59 %------------------------------------------- % 0.53/0.59 % File :CSE---1.7 % 0.53/0.59 % Problem :theBenchmark % 0.53/0.59 % Transform :cnf % 0.53/0.59 % Format :tptp:raw % 0.53/0.59 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.59 % 0.53/0.59 % Result :Theorem 0.000000s % 0.53/0.59 % Output :CNFRefutation 0.000000s % 0.53/0.59 %------------------------------------------- % 0.53/0.59 %------------------------------------------------------------------------------ % 0.53/0.59 % File : SWV309-2 : TPTP v8.2.0. Released v3.2.0. % 0.53/0.59 % Domain : Software Verification (Security) % 0.53/0.59 % Problem : Cryptographic protocol problem for Otway Rees % 0.53/0.59 % Version : [Pau06] axioms : Reduced > Especial. % 0.53/0.59 % English : % 0.53/0.59 % 0.53/0.59 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.53/0.59 % Source : [Pau06] % 0.53/0.59 % Names : % 0.53/0.59 % 0.53/0.59 % Status : Unsatisfiable % 0.53/0.59 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v3.2.0 % 0.53/0.59 % Syntax : Number of clauses : 3 ( 2 unt; 0 nHn; 3 RR) % 0.53/0.59 % Number of literals : 4 ( 0 equ; 2 neg) % 0.53/0.59 % Maximal clause size : 2 ( 1 avg) % 0.53/0.59 % Maximal term depth : 11 ( 3 avg) % 0.53/0.59 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.53/0.59 % Number of functors : 16 ( 16 usr; 9 con; 0-3 aty) % 0.53/0.59 % Number of variables : 1 ( 1 sgn) % 0.53/0.59 % SPC : CNF_UNS_RFO_NEQ_HRN % 0.53/0.59 % 0.53/0.59 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.53/0.59 % of which only a small selection are required for the refutation. % 0.53/0.59 % The mission is to find those few axioms, after which a refutation % 0.53/0.59 % can be quite easily found. This version has only the necessary % 0.53/0.59 % axioms. % 0.53/0.59 %------------------------------------------------------------------------------ % 0.53/0.59 cnf(cls_conjecture_3,negated_conjecture, % 0.53/0.59 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ). % 0.53/0.59 % 0.53/0.59 cnf(cls_conjecture_4,negated_conjecture, % 0.53/0.59 ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(V_U,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,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) ). % 0.53/0.59 % 0.53/0.59 cnf(cls_conjecture_5,negated_conjecture, % 0.53/0.59 ( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,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) % 0.53/0.59 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.53/0.59 % 0.53/0.59 %------------------------------------------------------------------------------ % 0.53/0.59 %------------------------------------------- % 0.53/0.59 % Proof found % 0.53/0.59 % SZS status Theorem for theBenchmark % 0.53/0.59 % SZS output start Proof % 0.53/0.59 %ClaNum:3(EqnAxiom:0) % 0.53/0.59 %VarNum:1(SingletonVarNum:1) % 0.53/0.59 %MaxLitNum:2 % 0.53/0.59 %MaxfuncDepth:10 % 0.53/0.60 %SharedTerms:34 % 0.53/0.60 %goalClause: 1 2 3 % 0.53/0.60 %singleGoalClaCount:2 % 0.53/0.60 [1]P1(f2(a1,a4,f10(a12,f10(f8(f6(a5),f10(a12,f7(a13))),f8(f6(a4),f10(a14,f7(a13)))))),f3(a15,a11),a11) % 0.53/0.60 [2]~P1(f2(a4,a1,f10(a12,f10(f9(a5),f10(f9(a4),f10(x21,f8(f6(a4),f10(a12,f10(a14,f10(f9(a5),f9(a4)))))))))),f3(a15,a11),a11) % 0.53/0.60 [3]~P1(f2(a1,a4,f10(a12,f10(f8(f6(a5),f10(a12,f7(a13))),f8(f6(a4),f10(a14,f7(a13)))))),f3(a15,a11),a11)+P1(f2(a4,a1,f10(a12,f10(f9(a5),f10(f9(a4),f10(a16,f8(f6(a4),f10(a12,f10(a14,f10(f9(a5),f9(a4)))))))))),f3(a15,a11),a11) % 0.53/0.60 %EqnAxiom % 0.53/0.60 % 0.53/0.60 %------------------------------------------- % 0.53/0.60 cnf(4,plain, % 0.53/0.60 ($false), % 0.53/0.60 inference(scs_inference,[],[1,2,3]), % 0.53/0.60 ['proof']). % 0.53/0.60 % SZS output end Proof % 0.53/0.60 % Total time :0.000000s %------------------------------------------------------------------------------