%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV359-2 : 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 : n019.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 16:46:57 EDT 2024 % Result : Unsatisfiable 59.35s 59.38s % Output : CNFRefutation 59.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SWV359-2 : TPTP v8.2.0. Released v3.2.0. % 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n019.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Jun 20 17:20:54 EDT 2024 % 0.13/0.35 % CPUTime : % 0.54/0.58 start to proof:theBenchmark % 59.33/59.37 %------------------------------------------- % 59.33/59.37 % File :CSE---1.7 % 59.33/59.37 % Problem :theBenchmark % 59.33/59.37 % Transform :cnf % 59.33/59.37 % Format :tptp:raw % 59.33/59.37 % Command :java -jar mcs_scs.jar %d %s % 59.33/59.37 % 59.33/59.37 % Result :Theorem 58.750000s % 59.33/59.37 % Output :CNFRefutation 58.750000s % 59.33/59.37 %------------------------------------------- % 59.35/59.38 %------------------------------------------------------------------------------ % 59.35/59.38 % File : SWV359-2 : TPTP v8.2.0. Released v3.2.0. % 59.35/59.38 % Domain : Software Verification (Security) % 59.35/59.38 % Problem : Cryptographic protocol problem for Yahalom % 59.35/59.38 % Version : [Pau06] axioms : Reduced > Especial. % 59.35/59.38 % English : % 59.35/59.38 % 59.35/59.38 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 59.35/59.38 % Source : [Pau06] % 59.35/59.38 % Names : % 59.35/59.38 % 59.35/59.38 % Status : Unsatisfiable % 59.35/59.38 % Rating : 0.00 v7.0.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v5.5.0, 0.19 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.22 v4.0.1, 0.17 v3.3.0, 0.14 v3.2.0 % 59.35/59.38 % Syntax : Number of clauses : 10 ( 5 unt; 0 nHn; 9 RR) % 59.35/59.38 % Number of literals : 18 ( 1 equ; 9 neg) % 59.35/59.38 % Maximal clause size : 4 ( 1 avg) % 59.35/59.38 % Maximal term depth : 7 ( 2 avg) % 59.35/59.38 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty) % 59.35/59.38 % Number of functors : 25 ( 25 usr; 13 con; 0-3 aty) % 59.35/59.38 % Number of variables : 21 ( 10 sgn) % 59.35/59.38 % SPC : CNF_UNS_RFO_SEQ_HRN % 59.35/59.38 % 59.35/59.38 % Comments : The problems in the [Pau06] collection each have very many axioms, % 59.35/59.38 % of which only a small selection are required for the refutation. % 59.35/59.38 % The mission is to find those few axioms, after which a refutation % 59.35/59.38 % can be quite easily found. This version has only the necessary % 59.35/59.38 % axioms. % 59.35/59.38 %------------------------------------------------------------------------------ % 59.35/59.38 cnf(cls_Event_OSays__imp__spies_0,axiom, % 59.35/59.38 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 59.35/59.38 | c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ). % 59.35/59.38 % 59.35/59.38 cnf(cls_Message_OMPair__parts_0,axiom, % 59.35/59.38 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) % 59.35/59.38 | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 59.35/59.38 % 59.35/59.38 cnf(cls_Message_Oparts_OInj_0,axiom, % 59.35/59.38 ( ~ c_in(V_X,V_H,tc_Message_Omsg) % 59.35/59.38 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 59.35/59.38 % 59.35/59.38 cnf(cls_Message_Oparts__analz_0,axiom, % 59.35/59.38 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ). % 59.35/59.38 % 59.35/59.38 cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom, % 59.35/59.38 ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) % 59.35/59.38 | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 59.35/59.38 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 59.35/59.38 % 59.35/59.38 cnf(cls_Yahalom_Ono__nonce__YM1__YM2_0,axiom, % 59.35/59.38 ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) % 59.35/59.38 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(V_na,c_Message_Omsg_ONonce(V_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 59.35/59.38 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B_H),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),V_nb_H))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 59.35/59.38 | c_in(c_Message_Omsg_ONonce(V_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 59.35/59.38 % 59.35/59.38 cnf(cls_conjecture_2,negated_conjecture, % 59.35/59.38 c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ). % 59.35/59.38 % 59.35/59.38 cnf(cls_conjecture_5,negated_conjecture, % 59.35/59.38 c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ). % 59.35/59.38 % 59.35/59.38 cnf(cls_conjecture_7,negated_conjecture, % 59.35/59.38 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ). % 59.35/59.38 % 59.35/59.38 cnf(cls_conjecture_8,negated_conjecture, % 59.35/59.38 ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ). % 59.35/59.38 % 59.35/59.38 %------------------------------------------------------------------------------ % 59.35/59.38 %------------------------------------------- % 59.35/59.38 % Proof found % 59.35/59.38 % SZS status Theorem for theBenchmark % 59.35/59.38 % SZS output start Proof % 59.35/59.39 %ClaNum:35(EqnAxiom:25) % 59.35/59.39 %VarNum:36(SingletonVarNum:21) % 59.35/59.39 %MaxLitNum:4 % 59.35/59.39 %MaxfuncDepth:6 % 59.35/59.39 %SharedTerms:40 % 59.35/59.39 %goalClause: 27 28 29 30 % 59.35/59.39 %singleGoalClaCount:4 % 59.35/59.39 [27]P1(a13,a14,f17(a16)) % 59.35/59.39 [30]~P1(f10(a23),f1(f6(a7,a13)),a21) % 59.35/59.39 [28]P1(f3(a2,f11(f9(a18),f12(f15(a18),f11(f9(a19),f11(f10(a23),f10(a25)))))),f4(a13,a16),a16) % 59.35/59.39 [29]P1(f5(a22,a2,f11(f9(a22),f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23)))))),f4(a13,a16),a16) % 59.35/59.39 [26]E(f8(f1(x261)),f8(x261)) % 59.35/59.39 [31]~P1(x311,x312,a21)+P1(x311,f8(x312),a21) % 59.35/59.39 [32]P1(x321,f8(x322),a21)+~P1(f11(x323,x321),f8(x322),a21) % 59.35/59.39 [34]P1(x341,f6(a7,x342),a21)+~P1(f5(x343,x344,x341),f4(x342,a16),a16) % 59.35/59.39 [33]~P1(f3(x333,x331),f4(x332,a16),a16)+~P1(x332,a14,f17(a16))+P1(x331,f1(f6(a7,x332)),a21) % 59.35/59.39 [35]~P1(x352,a14,f17(a16))+P1(f10(x351),f1(f6(a7,x352)),a21)+~P1(f12(f15(x353),f11(f9(x354),f11(x355,f10(x351)))),f8(f6(a7,x352)),a21)+~P1(f12(f15(x356),f11(f9(x357),f11(f10(x351),x358))),f8(f6(a7,x352)),a21) % 59.35/59.39 %EqnAxiom % 59.35/59.39 [1]E(x11,x11) % 59.35/59.39 [2]E(x22,x21)+~E(x21,x22) % 59.35/59.39 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 59.35/59.39 [4]~E(x41,x42)+E(f1(x41),f1(x42)) % 59.35/59.39 [5]~E(x51,x52)+E(f8(x51),f8(x52)) % 59.35/59.39 [6]~E(x61,x62)+E(f11(x61,x63),f11(x62,x63)) % 59.35/59.39 [7]~E(x71,x72)+E(f11(x73,x71),f11(x73,x72)) % 59.35/59.39 [8]~E(x81,x82)+E(f17(x81),f17(x82)) % 59.35/59.39 [9]~E(x91,x92)+E(f9(x91),f9(x92)) % 59.35/59.39 [10]~E(x101,x102)+E(f15(x101),f15(x102)) % 59.35/59.39 [11]~E(x111,x112)+E(f5(x111,x113,x114),f5(x112,x113,x114)) % 59.35/59.39 [12]~E(x121,x122)+E(f5(x123,x121,x124),f5(x123,x122,x124)) % 59.35/59.39 [13]~E(x131,x132)+E(f5(x133,x134,x131),f5(x133,x134,x132)) % 59.35/59.39 [14]~E(x141,x142)+E(f10(x141),f10(x142)) % 59.35/59.39 [15]~E(x151,x152)+E(f4(x151,x153),f4(x152,x153)) % 59.35/59.39 [16]~E(x161,x162)+E(f4(x163,x161),f4(x163,x162)) % 59.35/59.39 [17]~E(x171,x172)+E(f6(x171,x173),f6(x172,x173)) % 59.35/59.39 [18]~E(x181,x182)+E(f6(x183,x181),f6(x183,x182)) % 59.35/59.39 [19]~E(x191,x192)+E(f12(x191,x193),f12(x192,x193)) % 59.35/59.39 [20]~E(x201,x202)+E(f12(x203,x201),f12(x203,x202)) % 59.35/59.39 [21]~E(x211,x212)+E(f3(x211,x213),f3(x212,x213)) % 59.35/59.39 [22]~E(x221,x222)+E(f3(x223,x221),f3(x223,x222)) % 59.35/59.39 [23]P1(x232,x233,x234)+~E(x231,x232)+~P1(x231,x233,x234) % 59.35/59.39 [24]P1(x243,x242,x244)+~E(x241,x242)+~P1(x243,x241,x244) % 59.35/59.39 [25]P1(x253,x254,x252)+~E(x251,x252)+~P1(x253,x254,x251) % 59.35/59.39 % 59.35/59.39 %------------------------------------------- % 59.35/59.40 cnf(36,plain, % 59.35/59.40 (E(f8(x361),f8(f1(x361)))), % 59.35/59.40 inference(scs_inference,[],[26,2])). % 59.35/59.40 cnf(39,plain, % 59.35/59.40 (~E(f5(a22,a2,f11(f9(a22),f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23)))))),f3(x391,f10(a23)))), % 59.35/59.40 inference(scs_inference,[],[27,30,29,26,2,33,23])). % 59.35/59.40 cnf(56,plain, % 59.35/59.40 (E(f1(f8(f1(x561))),f1(f8(x561)))), % 59.35/59.40 inference(scs_inference,[],[36,4,2])). % 59.35/59.40 cnf(57,plain, % 59.35/59.40 (E(f1(f8(x571)),f1(f8(f1(x571))))), % 59.35/59.40 inference(scs_inference,[],[56,2])). % 59.35/59.40 cnf(66,plain, % 59.35/59.40 (E(f9(f15(f8(x661))),f9(f15(f8(f1(x661)))))), % 59.35/59.40 inference(scs_inference,[],[36,9,10])). % 59.35/59.40 cnf(74,plain, % 59.35/59.40 (P1(f11(f9(a22),f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23))))),f8(f6(a7,a13)),a21)), % 59.35/59.40 inference(scs_inference,[],[29,31,34])). % 59.35/59.40 cnf(76,plain, % 59.35/59.40 (P1(f11(f9(a22),f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23))))),f8(f1(f6(a7,a13))),a21)), % 59.35/59.40 inference(scs_inference,[],[36,66,74,2,24])). % 59.35/59.40 cnf(105,plain, % 59.35/59.40 (P1(f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23)))),f8(f8(f1(f6(a7,a13)))),a21)), % 59.35/59.40 inference(scs_inference,[],[76,32,31])). % 59.35/59.40 cnf(106,plain, % 59.35/59.40 (P1(f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23)))),f8(f1(f8(f1(f6(a7,a13))))),a21)), % 59.35/59.40 inference(scs_inference,[],[36,105,24])). % 59.35/59.40 cnf(124,plain, % 59.35/59.40 (P1(f11(f9(a22),f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23))))),f8(f1(f1(f6(a7,a13)))),a21)), % 59.35/59.40 inference(scs_inference,[],[36,76,24])). % 59.35/59.40 cnf(211,plain, % 59.35/59.40 (E(f8(f1(f8(x2111))),f8(f1(f8(f1(x2111)))))), % 59.35/59.40 inference(scs_inference,[],[56,2,5])). % 59.35/59.40 cnf(226,plain, % 59.35/59.40 (E(f8(f1(f8(f1(x2261)))),f8(f1(f8(x2261))))), % 59.35/59.40 inference(scs_inference,[],[211,2])). % 59.35/59.40 cnf(227,plain, % 59.35/59.40 (E(f8(f1(f1(f8(x2271)))),f8(f1(f8(f1(x2271)))))), % 59.35/59.40 inference(scs_inference,[],[26,211,2,3])). % 59.35/59.40 cnf(233,plain, % 59.35/59.40 (E(f15(f1(f8(x2331))),f15(f1(f8(f1(x2331)))))), % 59.35/59.40 inference(scs_inference,[],[56,2,10])). % 59.35/59.40 cnf(254,plain, % 59.35/59.40 (E(f15(f1(f8(f1(x2541)))),f15(f1(f8(x2541))))), % 59.35/59.40 inference(scs_inference,[],[233,2])). % 59.35/59.40 cnf(975,plain, % 59.35/59.40 (E(f8(f8(f1(f8(f1(x9751))))),f8(f8(f1(f8(x9751)))))), % 59.35/59.40 inference(scs_inference,[],[211,2,5])). % 59.35/59.40 cnf(977,plain, % 59.35/59.40 (E(f8(f1(f8(x9771))),f8(f8(f1(x9771))))), % 59.35/59.40 inference(scs_inference,[],[211,26,975,2,3])). % 59.35/59.40 cnf(980,plain, % 59.35/59.40 (E(f8(f8(f1(x9801))),f8(f1(f8(x9801))))), % 59.35/59.40 inference(scs_inference,[],[977,2])). % 59.35/59.40 cnf(981,plain, % 59.35/59.40 (E(f8(f1(f8(x9811))),f8(f8(f1(f1(x9811)))))), % 59.35/59.40 inference(scs_inference,[],[211,977,2,3])). % 59.35/59.40 cnf(1001,plain, % 59.35/59.40 (E(f8(f8(f1(f1(x10011)))),f8(f1(f8(x10011))))), % 59.35/59.40 inference(scs_inference,[],[981,2])). % 59.35/59.40 cnf(1023,plain, % 59.35/59.40 (E(f8(f8(f1(f1(x10231)))),f8(f1(f1(f8(x10231)))))), % 59.35/59.40 inference(scs_inference,[],[26,981,3,2])). % 59.35/59.40 cnf(1066,plain, % 59.35/59.40 (E(f1(f8(f1(f8(x10661)))),f1(f8(f1(f8(f1(x10661))))))), % 59.35/59.40 inference(scs_inference,[],[226,2,4])). % 59.35/59.40 cnf(1067,plain, % 59.35/59.40 (E(f1(f8(f1(f8(f1(x10671))))),f1(f8(f1(f8(x10671)))))), % 59.35/59.40 inference(scs_inference,[],[1066,2])). % 59.35/59.40 cnf(1068,plain, % 59.35/59.40 (P1(f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23)))),f8(f1(f8(f6(a7,a13)))),a21)), % 59.35/59.40 inference(scs_inference,[],[226,106,1066,2,24])). % 59.35/59.40 cnf(1069,plain, % 59.35/59.40 (E(f8(f1(f8(f1(x10691)))),f8(f1(f8(x10691))))), % 59.35/59.40 inference(rename_variables,[],[226])). % 59.35/59.40 cnf(1070,plain, % 59.35/59.40 (E(f8(f1(f8(f1(x10701)))),f8(f8(x10701)))), % 59.35/59.40 inference(scs_inference,[],[226,1069,106,26,1066,2,24,3])). % 59.35/59.40 cnf(1078,plain, % 59.35/59.40 (E(f8(f8(x10781)),f8(f1(f8(f1(x10781)))))), % 59.35/59.40 inference(scs_inference,[],[1070,2])). % 59.35/59.40 cnf(1081,plain, % 59.35/59.40 (E(f8(f1(f8(f1(f1(x10811))))),f8(f8(x10811)))), % 59.35/59.40 inference(scs_inference,[],[226,26,1070,1068,2,24,3])). % 59.35/59.40 cnf(1089,plain, % 59.35/59.40 (E(f8(f1(f8(f1(f1(f1(x10891)))))),f8(f8(x10891)))), % 59.35/59.40 inference(scs_inference,[],[226,1081,2,3])). % 59.35/59.40 cnf(1095,plain, % 59.35/59.40 (E(f1(f8(f8(f1(x10951)))),f1(f8(f1(f8(x10951)))))), % 59.35/59.40 inference(scs_inference,[],[57,1089,1067,2,3])). % 59.35/59.40 cnf(1100,plain, % 59.35/59.40 (E(f1(f8(f1(f8(x11001)))),f1(f8(f8(f1(x11001)))))), % 59.35/59.40 inference(scs_inference,[],[1095,2])). % 59.35/59.40 cnf(1101,plain, % 59.35/59.40 (E(f1(f8(f8(x11011))),f1(f8(f1(f8(f1(x11011))))))), % 59.35/59.40 inference(scs_inference,[],[57,1095,1066,2,3])). % 59.35/59.40 cnf(1104,plain, % 59.35/59.40 (E(f1(f8(f8(x11041))),f1(f8(f8(f1(x11041)))))), % 59.35/59.40 inference(scs_inference,[],[57,1100,1101,2,3])). % 59.35/59.40 cnf(1107,plain, % 59.35/59.40 (E(f1(f8(f8(f1(x11071)))),f1(f8(f8(x11071))))), % 59.35/59.40 inference(scs_inference,[],[1104,2])). % 59.35/59.40 cnf(1109,plain, % 59.35/59.40 (E(f8(f1(f1(f8(f1(f1(x11091)))))),f8(f8(x11091)))), % 59.35/59.40 inference(scs_inference,[],[227,1089,3])). % 59.35/59.40 cnf(1113,plain, % 59.35/59.40 (E(f8(f1(f1(f8(x11131)))),f8(f8(x11131)))), % 59.35/59.40 inference(scs_inference,[],[227,1109,1070,2,3])). % 59.35/59.40 cnf(1116,plain, % 59.35/59.41 (E(f8(f8(x11161)),f8(f1(f1(f8(x11161)))))), % 59.35/59.41 inference(scs_inference,[],[1113,2])). % 59.35/59.41 cnf(1158,plain, % 59.35/59.41 (P1(f11(f9(a22),f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23))))),f8(f8(f1(f1(f6(a7,a13))))),a21)), % 59.35/59.41 inference(scs_inference,[],[980,1116,124,4,5,8,9,10,14,31])). % 59.35/59.41 cnf(1178,plain, % 59.35/59.41 (P1(f11(f9(a18),f12(f15(a18),f11(f9(a19),f11(f10(a23),f10(a25))))),f1(f6(a7,a13)),a21)), % 59.35/59.41 inference(scs_inference,[],[27,980,1116,39,124,28,29,4,5,8,9,10,14,31,6,7,15,16,17,18,19,20,21,11,12,13,32,34,22,2,33])). % 59.35/59.41 cnf(1189,plain, % 59.35/59.41 (P1(f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23)))),f8(f8(f1(f1(f6(a7,a13))))),a21)), % 59.35/59.41 inference(scs_inference,[],[1078,1158,12,32])). % 59.35/59.41 cnf(1191,plain, % 59.35/59.41 (P1(f11(f9(a18),f12(f15(a18),f11(f9(a19),f11(f10(a23),f10(a25))))),f8(f1(f6(a7,a13))),a21)), % 59.35/59.41 inference(scs_inference,[],[1078,1178,1158,12,32,31])). % 59.35/59.41 cnf(1218,plain, % 59.35/59.41 (P1(f12(f15(a18),f11(f9(a19),f11(f10(a23),f10(a25)))),f8(f1(f6(a7,a13))),a21)), % 59.35/59.41 inference(scs_inference,[],[1191,32])). % 59.35/59.41 cnf(1220,plain, % 59.35/59.41 (P1(f11(f9(a18),f12(f15(a18),f11(f9(a19),f11(f10(a23),f10(a25))))),f8(f8(f1(f6(a7,a13)))),a21)), % 59.35/59.41 inference(scs_inference,[],[1191,32,31])). % 59.35/59.41 cnf(1249,plain, % 59.35/59.41 (P1(f11(f9(a18),f12(f15(a18),f11(f9(a19),f11(f10(a23),f10(a25))))),f8(f8(f8(f1(f6(a7,a13))))),a21)), % 59.35/59.41 inference(scs_inference,[],[1220,32,31])). % 59.35/59.41 cnf(1300,plain, % 59.35/59.41 (P1(f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23)))),f8(f1(f1(f8(f6(a7,a13))))),a21)), % 59.35/59.41 inference(scs_inference,[],[254,1023,1249,1189,32,31,12,13,17,4,15,7,16,19,20,21,8,6,5,11,10,14,18,9,22,24])). % 59.35/59.41 cnf(1305,plain, % 59.35/59.41 (P1(f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23)))),f8(f6(a7,a13)),a21)), % 59.35/59.41 inference(scs_inference,[],[74,32])). % 59.35/59.41 cnf(1358,plain, % 59.35/59.41 (P1(f11(f9(a22),f12(f15(a22),f11(f9(a20),f11(f10(a24),f10(a23))))),f8(f1(f8(f6(a7,a13)))),a21)), % 59.35/59.41 inference(scs_inference,[],[1001,1300,1158,76,32,31,15,12,4,20,21,7,19,17,16,6,11,13,5,14,10,8,18,9,22,24])). % 59.35/59.41 cnf(1359,plain, % 59.35/59.41 (E(f8(f8(f1(f1(x13591)))),f8(f1(f8(x13591))))), % 59.35/59.41 inference(rename_variables,[],[1001])). % 59.35/59.41 cnf(1361,plain, % 59.35/59.41 (~P1(f12(f15(x13611),f11(f9(x13612),f11(f10(a23),x13613))),f8(f6(a7,a13)),a21)), % 59.35/59.41 inference(scs_inference,[],[27,1305,1001,1359,1300,1158,76,30,32,31,15,12,4,20,21,7,19,17,16,6,11,13,5,14,10,8,18,9,22,24,25,35])). % 59.35/59.41 cnf(1387,plain, % 59.35/59.41 ($false), % 59.35/59.41 inference(scs_inference,[],[1361,1107,1358,1218,26,31,7,15,17,4,6,21,20,12,13,16,8,19,11,10,5,14,9,18,22,24]), % 59.35/59.41 ['proof']). % 59.35/59.41 % SZS output end Proof % 59.35/59.41 % Total time :58.750000s %------------------------------------------------------------------------------