%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV299-2 : 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 : n025.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 16:46:35 EDT 2024 % Result : Unsatisfiable 60.17s 60.27s % Output : CNFRefutation 60.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SWV299-2 : TPTP v8.2.0. Released v3.2.0. % 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n025.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 21:03:24 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 60.17/60.25 %------------------------------------------- % 60.17/60.25 % File :CSE---1.7 % 60.17/60.25 % Problem :theBenchmark % 60.17/60.25 % Transform :cnf % 60.17/60.25 % Format :tptp:raw % 60.17/60.25 % Command :java -jar mcs_scs.jar %d %s % 60.17/60.25 % 60.17/60.25 % Result :Theorem 59.620000s % 60.17/60.25 % Output :CNFRefutation 59.620000s % 60.17/60.25 %------------------------------------------- % 60.17/60.26 %------------------------------------------------------------------------------ % 60.17/60.26 % File : SWV299-2 : TPTP v8.2.0. Released v3.2.0. % 60.17/60.26 % Domain : Software Verification (Security) % 60.17/60.26 % Problem : Cryptographic protocol problem for Otway Rees % 60.17/60.26 % Version : [Pau06] axioms : Reduced > Especial. % 60.17/60.26 % English : % 60.17/60.26 % 60.17/60.26 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 60.17/60.26 % Source : [Pau06] % 60.17/60.26 % Names : % 60.17/60.26 % 60.17/60.26 % Status : Unsatisfiable % 60.17/60.26 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.15 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.00 v3.2.0 % 60.17/60.26 % Syntax : Number of clauses : 8 ( 4 unt; 0 nHn; 8 RR) % 60.17/60.26 % Number of literals : 14 ( 0 equ; 7 neg) % 60.17/60.26 % Maximal clause size : 4 ( 1 avg) % 60.17/60.26 % Maximal term depth : 11 ( 2 avg) % 60.17/60.26 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 60.17/60.26 % Number of functors : 25 ( 25 usr; 14 con; 0-3 aty) % 60.17/60.26 % Number of variables : 15 ( 6 sgn) % 60.17/60.26 % SPC : CNF_UNS_RFO_NEQ_HRN % 60.17/60.26 % 60.17/60.26 % Comments : The problems in the [Pau06] collection each have very many axioms, % 60.17/60.26 % of which only a small selection are required for the refutation. % 60.17/60.26 % The mission is to find those few axioms, after which a refutation % 60.17/60.26 % can be quite easily found. This version has only the necessary % 60.17/60.26 % axioms. % 60.17/60.27 %------------------------------------------------------------------------------ % 60.17/60.27 cnf(cls_conjecture_0,negated_conjecture, % 60.17/60.27 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 60.17/60.27 % 60.17/60.27 cnf(cls_conjecture_1,negated_conjecture, % 60.17/60.27 c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 60.17/60.27 % 60.17/60.27 cnf(cls_conjecture_3,negated_conjecture, % 60.17/60.27 c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ). % 60.17/60.27 % 60.17/60.27 cnf(cls_conjecture_4,negated_conjecture, % 60.17/60.27 c_in(c_Event_Oevent_OSays(v_Aaa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ). % 60.17/60.27 % 60.17/60.27 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom, % 60.17/60.27 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 60.17/60.27 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 60.17/60.27 % 60.17/60.27 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom, % 60.17/60.27 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 60.17/60.27 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 60.17/60.27 % 60.17/60.27 cnf(cls_Message_OMPair__analz_0,axiom, % 60.17/60.27 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) % 60.17/60.27 | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 60.17/60.27 % 60.17/60.27 cnf(cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0,axiom, % 60.17/60.27 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 60.17/60.27 | ~ 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_evs)),tc_Message_Omsg) % 60.17/60.27 | ~ 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_evs)),tc_Message_Omsg) % 60.17/60.27 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 60.17/60.27 % 60.17/60.27 %------------------------------------------------------------------------------ % 60.17/60.27 %------------------------------------------- % 60.17/60.27 % Proof found % 60.17/60.27 % SZS status Theorem for theBenchmark % 60.17/60.27 % SZS output start Proof % 60.17/60.27 %ClaNum:8(EqnAxiom:0) % 60.17/60.27 %VarNum:28(SingletonVarNum:15) % 60.17/60.27 %MaxLitNum:4 % 60.17/60.27 %MaxfuncDepth:10 % 60.17/60.27 %SharedTerms:45 % 60.17/60.27 %goalClause: 1 2 3 4 % 60.17/60.27 %singleGoalClaCount:4 % 60.17/60.27 [4]~P1(a18,a6,a19) % 60.17/60.27 [1]P1(a1,a2,f17(a15)) % 60.17/60.27 [2]P1(f5(a18,a21,f12(f3(a24),f12(f4(a18),f12(f4(a21),f13(f16(a18),f12(f3(a24),f12(f4(a18),f4(a21)))))))),f7(a1,a15),a15) % 60.17/60.27 [3]P1(f5(a22,a9,f12(f3(a25),f12(f4(a23),f12(f4(a18),f12(f13(f16(a23),f12(f3(a25),f12(f4(a23),f4(a18)))),f13(f16(a18),f12(f3(a25),f12(f3(a24),f12(f4(a23),f4(a18)))))))))),f7(a1,a15),a15) % 60.17/60.27 [5]~P1(x51,f10(x52),a20)+P1(x51,f14(x52),a20) % 60.17/60.27 [6]P1(x61,f10(x62),a20)+~P1(f12(x63,x61),f10(x62),a20) % 60.17/60.27 [7]~P1(f5(x73,x74,x71),f7(x72,a15),a15)+P1(x71,f10(f8(a11,x72)),a20) % 60.17/60.27 [8]P1(x81,a6,a19)+~P1(x82,a2,f17(a15))+~P1(f13(f16(x81),f12(x83,f12(f4(x81),f4(x84)))),f14(f8(a11,x82)),a20)+~P1(f13(f16(x81),f12(x85,f12(x83,f12(f4(x86),f4(x81))))),f14(f8(a11,x82)),a20) % 60.17/60.27 %EqnAxiom % 60.17/60.27 % 60.17/60.27 %------------------------------------------- % 60.17/60.31 cnf(9,plain, % 60.17/60.31 (~P1(f13(f16(a18),f12(x91,f12(f4(a18),f4(x92)))),f10(f8(a11,a1)),a20)+~P1(f13(f16(a18),f12(x93,f12(x91,f12(f4(x94),f4(a18))))),f14(f8(a11,a1)),a20)), % 60.17/60.31 inference(scs_inference,[],[1,4,5,8])). % 60.17/60.31 cnf(10,plain, % 60.17/60.31 (~P1(f13(f16(a18),f12(x101,f12(x102,f12(f4(x103),f4(a18))))),f14(f8(a11,a1)),a20)+~P1(f12(x104,f13(f16(a18),f12(x102,f12(f4(a18),f4(x105))))),f10(f8(a11,a1)),a20)), % 60.17/60.31 inference(scs_inference,[],[6,9])). % 60.17/60.31 cnf(20,plain, % 60.17/60.31 (~P1(f13(f16(a18),f12(x201,f12(x202,f12(f4(x203),f4(a18))))),f10(f8(a11,a1)),a20)+~P1(f13(f16(a18),f12(x202,f12(f4(a18),f4(x204)))),f14(f8(a11,a1)),a20)), % 60.17/60.31 inference(scs_inference,[],[1,4,5,8])). % 60.17/60.31 cnf(21,plain, % 60.17/60.31 (~P1(f13(f16(a18),f12(x211,f12(f4(a18),f4(x212)))),f14(f8(a11,a1)),a20)+~P1(f12(x213,f13(f16(a18),f12(x214,f12(x211,f12(f4(x215),f4(a18)))))),f10(f8(a11,a1)),a20)), % 60.17/60.31 inference(scs_inference,[],[20,6])). % 60.17/60.31 cnf(32617,plain, % 60.17/60.31 (P1(f12(f4(a18),f12(f4(a21),f13(f16(a18),f12(f3(a24),f12(f4(a18),f4(a21)))))),f10(f8(a11,a1)),a20)), % 60.17/60.31 inference(scs_inference,[],[2,7,5,6])). % 60.17/60.31 cnf(32621,plain, % 60.17/60.31 (P1(f12(f4(a21),f13(f16(a18),f12(f3(a24),f12(f4(a18),f4(a21))))),f10(f8(a11,a1)),a20)), % 60.17/60.31 inference(scs_inference,[],[32617,6])). % 60.17/60.31 cnf(32625,plain, % 60.17/60.31 (~P1(f13(f16(a18),f12(x326251,f12(f3(a24),f12(f4(x326252),f4(a18))))),f10(f8(a11,a1)),a20)), % 60.17/60.31 inference(scs_inference,[],[32621,5,10])). % 60.17/60.31 cnf(32626,plain, % 60.17/60.31 (P1(f13(f16(a18),f12(f3(a24),f12(f4(a18),f4(a21)))),f10(f8(a11,a1)),a20)), % 60.17/60.31 inference(scs_inference,[],[32621,6])). % 60.17/60.31 cnf(32631,plain, % 60.17/60.31 (P1(f13(f16(a18),f12(f3(a24),f12(f4(a18),f4(a21)))),f14(f8(a11,a1)),a20)), % 60.17/60.31 inference(scs_inference,[],[32626,5])). % 60.17/60.31 cnf(34972,plain, % 60.17/60.31 (~P1(f12(x349721,f13(f16(a18),f12(x349722,f12(f3(a24),f12(f4(x349723),f4(a18)))))),f10(f8(a11,a1)),a20)), % 60.17/60.31 inference(scs_inference,[],[32631,21])). % 60.17/60.31 cnf(34976,plain, % 60.17/60.31 (P1(f12(f4(a23),f12(f4(a18),f12(f13(f16(a23),f12(f3(a25),f12(f4(a23),f4(a18)))),f13(f16(a18),f12(f3(a25),f12(f3(a24),f12(f4(a23),f4(a18)))))))),f10(f8(a11,a1)),a20)), % 60.17/60.31 inference(scs_inference,[],[32631,3,21,7,6])). % 60.17/60.31 cnf(34981,plain, % 60.17/60.31 (P1(f12(f4(a18),f12(f13(f16(a23),f12(f3(a25),f12(f4(a23),f4(a18)))),f13(f16(a18),f12(f3(a25),f12(f3(a24),f12(f4(a23),f4(a18))))))),f10(f8(a11,a1)),a20)), % 60.17/60.31 inference(scs_inference,[],[32625,34976,7,6])). % 60.17/60.31 cnf(34984,plain, % 60.17/60.31 ($false), % 60.17/60.31 inference(scs_inference,[],[34972,34981,6]), % 60.17/60.31 ['proof']). % 60.30/60.35 % SZS output end Proof % 60.30/60.35 % Total time :59.620000s %------------------------------------------------------------------------------