%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV340-2 : 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 16:46:49 EDT 2024 % Result : Unsatisfiable 65.41s 65.56s % Output : CNFRefutation 65.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SWV340-2 : TPTP v8.2.0. Released v3.2.0. % 0.04/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n001.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 19:05:53 EDT 2024 % 0.12/0.33 % CPUTime : % 0.52/0.57 start to proof:theBenchmark % 65.36/65.55 %------------------------------------------- % 65.36/65.55 % File :CSE---1.7 % 65.36/65.55 % Problem :theBenchmark % 65.36/65.55 % Transform :cnf % 65.36/65.55 % Format :tptp:raw % 65.36/65.55 % Command :java -jar mcs_scs.jar %d %s % 65.36/65.55 % 65.36/65.55 % Result :Theorem 64.810000s % 65.36/65.55 % Output :CNFRefutation 64.810000s % 65.36/65.55 %------------------------------------------- % 65.41/65.56 %------------------------------------------------------------------------------ % 65.41/65.56 % File : SWV340-2 : TPTP v8.2.0. Released v3.2.0. % 65.41/65.56 % Domain : Software Verification (Security) % 65.41/65.56 % Problem : Cryptographic protocol problem for Yahalom % 65.41/65.56 % Version : [Pau06] axioms : Reduced > Especial. % 65.41/65.56 % English : % 65.41/65.56 % 65.41/65.56 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 65.41/65.56 % Source : [Pau06] % 65.41/65.56 % Names : % 65.41/65.56 % 65.41/65.56 % Status : Unsatisfiable % 65.41/65.56 % Rating : 0.00 v6.3.0, 0.17 v6.2.0, 0.00 v5.5.0, 0.19 v5.4.0, 0.20 v5.3.0, 0.25 v5.2.0, 0.00 v5.0.0, 0.29 v4.1.0, 0.22 v4.0.1, 0.17 v3.3.0, 0.14 v3.2.0 % 65.41/65.56 % Syntax : Number of clauses : 11 ( 5 unt; 0 nHn; 10 RR) % 65.41/65.56 % Number of literals : 18 ( 2 equ; 8 neg) % 65.41/65.56 % Maximal clause size : 3 ( 1 avg) % 65.41/65.56 % Maximal term depth : 8 ( 2 avg) % 65.41/65.56 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty) % 65.41/65.56 % Number of functors : 25 ( 25 usr; 12 con; 0-2 aty) % 65.41/65.56 % Number of variables : 17 ( 4 sgn) % 65.41/65.56 % SPC : CNF_UNS_RFO_SEQ_HRN % 65.41/65.56 % 65.41/65.56 % Comments : The problems in the [Pau06] collection each have very many axioms, % 65.41/65.56 % of which only a small selection are required for the refutation. % 65.41/65.56 % The mission is to find those few axioms, after which a refutation % 65.41/65.56 % can be quite easily found. This version has only the necessary % 65.41/65.56 % axioms. % 65.41/65.56 %------------------------------------------------------------------------------ % 65.41/65.56 cnf(cls_conjecture_1,negated_conjecture, % 65.41/65.56 c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ). % 65.41/65.56 % 65.41/65.56 cnf(cls_conjecture_4,negated_conjecture, % 65.41/65.56 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_Ka),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) ). % 65.41/65.56 % 65.41/65.56 cnf(cls_conjecture_8,negated_conjecture, % 65.41/65.56 ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs4),tc_Message_Omsg) ). % 65.41/65.56 % 65.41/65.56 cnf(cls_conjecture_9,negated_conjecture, % 65.41/65.56 v_K = v_Ka ). % 65.41/65.56 % 65.41/65.56 cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom, % 65.41/65.56 ( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 65.41/65.56 | c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ) ). % 65.41/65.56 % 65.41/65.56 cnf(cls_Message_OMPair__parts_0,axiom, % 65.41/65.56 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) % 65.41/65.56 | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 65.41/65.56 % 65.41/65.56 cnf(cls_Message_OMPair__parts_1,axiom, % 65.41/65.56 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) % 65.41/65.56 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 65.41/65.56 % 65.41/65.56 cnf(cls_Message_Oparts_OBody__dest_0,axiom, % 65.41/65.56 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) % 65.41/65.56 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 65.41/65.56 % 65.41/65.56 cnf(cls_Message_Oparts_OInj_0,axiom, % 65.41/65.56 ( ~ c_in(V_X,V_H,tc_Message_Omsg) % 65.41/65.56 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 65.41/65.56 % 65.41/65.56 cnf(cls_Message_Oparts__analz_0,axiom, % 65.41/65.56 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ). % 65.41/65.56 % 65.41/65.56 cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom, % 65.41/65.56 ( ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) % 65.41/65.56 | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 65.41/65.56 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 65.41/65.56 % 65.41/65.56 %------------------------------------------------------------------------------ % 65.41/65.56 %------------------------------------------- % 65.41/65.56 % Proof found % 65.41/65.56 % SZS status Theorem for theBenchmark % 65.41/65.56 % SZS output start Proof % 65.41/65.56 %ClaNum:35(EqnAxiom:24) % 65.41/65.56 %VarNum:31(SingletonVarNum:17) % 65.41/65.56 %MaxLitNum:3 % 65.41/65.56 %MaxfuncDepth:7 % 65.41/65.56 %SharedTerms:31 % 65.41/65.56 %goalClause: 25 27 28 29 % 65.41/65.56 %singleGoalClaCount:4 % 65.41/65.56 [25]E(a1,a21) % 65.41/65.56 [27]P1(a22,a14,f17(a16)) % 65.41/65.56 [29]~P1(f10(a1),f5(a22),a19) % 65.41/65.56 [28]P1(f3(a18,f13(f11(f15(a18),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24))))),a25)),f4(a22,a16),a16) % 65.41/65.56 [26]E(f8(f2(x261)),f8(x261)) % 65.41/65.56 [30]~P1(x301,x302,a19)+P1(x301,f8(x302),a19) % 65.41/65.56 [34]P1(x341,f5(x342),a19)+~P1(x341,f8(f6(a7,x342)),a19) % 65.41/65.56 [31]P1(x311,f8(x312),a19)+~P1(f13(x313,x311),f8(x312),a19) % 65.41/65.56 [32]P1(x321,f8(x322),a19)+~P1(f11(x323,x321),f8(x322),a19) % 65.41/65.56 [33]P1(x331,f8(x332),a19)+~P1(f13(x331,x333),f8(x332),a19) % 65.41/65.56 [35]~P1(f3(x353,x351),f4(x352,a16),a16)+~P1(x352,a14,f17(a16))+P1(x351,f2(f6(a7,x352)),a19) % 65.41/65.56 %EqnAxiom % 65.41/65.56 [1]E(x11,x11) % 65.41/65.56 [2]E(x22,x21)+~E(x21,x22) % 65.41/65.56 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 65.41/65.56 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 65.41/65.56 [5]~E(x51,x52)+E(f8(x51),f8(x52)) % 65.41/65.56 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63)) % 65.41/65.56 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72)) % 65.41/65.57 [8]~E(x81,x82)+E(f17(x81),f17(x82)) % 65.41/65.57 [9]~E(x91,x92)+E(f15(x91),f15(x92)) % 65.41/65.57 [10]~E(x101,x102)+E(f9(x101),f9(x102)) % 65.41/65.57 [11]~E(x111,x112)+E(f10(x111),f10(x112)) % 65.41/65.57 [12]~E(x121,x122)+E(f12(x121),f12(x122)) % 65.41/65.57 [13]~E(x131,x132)+E(f6(x131,x133),f6(x132,x133)) % 65.41/65.57 [14]~E(x141,x142)+E(f6(x143,x141),f6(x143,x142)) % 65.41/65.57 [15]~E(x151,x152)+E(f13(x151,x153),f13(x152,x153)) % 65.41/65.57 [16]~E(x161,x162)+E(f13(x163,x161),f13(x163,x162)) % 65.41/65.57 [17]~E(x171,x172)+E(f4(x171,x173),f4(x172,x173)) % 65.41/65.57 [18]~E(x181,x182)+E(f4(x183,x181),f4(x183,x182)) % 65.41/65.57 [19]~E(x191,x192)+E(f5(x191),f5(x192)) % 65.41/65.57 [20]~E(x201,x202)+E(f11(x201,x203),f11(x202,x203)) % 65.41/65.57 [21]~E(x211,x212)+E(f11(x213,x211),f11(x213,x212)) % 65.41/65.57 [22]P1(x222,x223,x224)+~E(x221,x222)+~P1(x221,x223,x224) % 65.41/65.57 [23]P1(x233,x232,x234)+~E(x231,x232)+~P1(x233,x231,x234) % 65.41/65.57 [24]P1(x243,x244,x242)+~E(x241,x242)+~P1(x243,x244,x241) % 65.41/65.57 % 65.41/65.57 %------------------------------------------- % 65.41/65.57 cnf(37,plain, % 65.41/65.57 (E(x371,f8(x372))+~E(x371,f8(f2(x372)))), % 65.41/65.57 inference(scs_inference,[],[25,26,2,3])). % 65.41/65.57 cnf(41,plain, % 65.41/65.57 (E(f8(f2(f2(x411))),f8(x411))), % 65.41/65.57 inference(scs_inference,[],[26,37])). % 65.41/65.57 cnf(42,plain, % 65.41/65.57 (E(f8(f2(x421)),f8(x421))), % 65.41/65.57 inference(rename_variables,[],[26])). % 65.41/65.57 cnf(43,plain, % 65.41/65.57 (E(f8(x431),f8(f2(x431)))), % 65.41/65.57 inference(scs_inference,[],[26,42,37,2])). % 65.41/65.57 cnf(44,plain, % 65.41/65.57 (E(f8(f2(f2(f2(x441)))),f8(x441))), % 65.41/65.57 inference(scs_inference,[],[26,42,37,2,3])). % 65.41/65.57 cnf(51,plain, % 65.41/65.57 (E(f8(f2(f2(f2(f2(x511))))),f8(x511))), % 65.41/65.57 inference(scs_inference,[],[44,37])). % 65.41/65.57 cnf(53,plain, % 65.41/65.57 (E(f8(x531),f8(f2(f2(x531))))), % 65.41/65.57 inference(scs_inference,[],[41,44,37,2])). % 65.41/65.57 cnf(54,plain, % 65.41/65.57 (E(f8(x541),f8(f2(f2(f2(x541)))))), % 65.41/65.57 inference(scs_inference,[],[43,41,44,37,2,3])). % 65.41/65.57 cnf(78,plain, % 65.41/65.57 (P1(f13(f11(f15(a18),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24))))),a25),f8(f2(f6(a7,a22))),a19)), % 65.41/65.57 inference(scs_inference,[],[27,28,30,35])). % 65.41/65.57 cnf(79,plain, % 65.41/65.57 (P1(f13(f11(f15(a18),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24))))),a25),f8(f6(a7,a22)),a19)), % 65.41/65.57 inference(scs_inference,[],[26,78,23])). % 65.41/65.57 cnf(87,plain, % 65.41/65.57 (E(f6(x871,f13(f8(f2(x872)),x873)),f6(x871,f13(f8(x872),x873)))), % 65.41/65.57 inference(scs_inference,[],[26,14,15])). % 65.41/65.58 cnf(89,plain, % 65.41/65.58 (P1(f13(f11(f15(a18),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24))))),a25),f8(f2(f2(f6(a7,a22)))),a19)), % 65.41/65.58 inference(scs_inference,[],[53,87,79,2,23])). % 65.41/65.58 cnf(107,plain, % 65.41/65.58 (P1(x1071,f8(f6(a7,a22)),a19)+~E(f13(f11(f15(a18),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24))))),a25),x1071)), % 65.41/65.58 inference(scs_inference,[],[79,89,24,22])). % 65.41/65.58 cnf(117,plain, % 65.41/65.58 (P1(a25,f5(a22),a19)), % 65.41/65.58 inference(scs_inference,[],[79,31,34])). % 65.41/65.58 cnf(118,plain, % 65.41/65.58 (~E(a25,f10(a1))), % 65.41/65.58 inference(scs_inference,[],[29,117,22])). % 65.41/65.58 cnf(124,plain, % 65.41/65.58 (~P1(f11(x1241,f10(a1)),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[29,32,34])). % 65.41/65.58 cnf(125,plain, % 65.41/65.58 (~E(f13(f11(f15(a18),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24))))),a25),f11(x1251,f10(a1)))), % 65.41/65.58 inference(scs_inference,[],[124,107])). % 65.41/65.58 cnf(128,plain, % 65.41/65.58 (~P1(f13(x1281,f11(x1282,f10(a1))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[124,107,30,31])). % 65.41/65.58 cnf(130,plain, % 65.41/65.58 (~P1(f11(x1301,f11(x1302,f10(a1))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[124,107,30,31,32])). % 65.41/65.58 cnf(132,plain, % 65.41/65.58 (~P1(f13(f11(x1321,f10(a1)),x1322),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[124,107,30,31,32,33])). % 65.41/65.58 cnf(137,plain, % 65.41/65.58 (~P1(f11(x1371,f13(x1372,f11(x1373,f10(a1)))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[128,32])). % 65.41/65.58 cnf(142,plain, % 65.41/65.58 (~P1(f13(x1421,f13(x1422,f11(x1423,f10(a1)))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[128,32,30,107,31])). % 65.41/65.58 cnf(144,plain, % 65.41/65.58 (~P1(f13(f13(x1441,f11(x1442,f10(a1))),x1443),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[128,32,30,107,31,33])). % 65.41/65.58 cnf(146,plain, % 65.41/65.58 (~P1(f11(x1461,f11(x1462,f13(x1463,f11(x1464,f10(a1))))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[137,32])). % 65.41/65.58 cnf(148,plain, % 65.41/65.58 (~P1(f13(x1481,f11(x1482,f13(x1483,f11(x1484,f10(a1))))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[137,32,31])). % 65.41/65.58 cnf(152,plain, % 65.41/65.58 (~P1(f13(f11(x1521,f13(x1522,f11(x1523,f10(a1)))),x1524),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[137,32,31,30,33])). % 65.41/65.58 cnf(155,plain, % 65.41/65.58 (~P1(f11(x1551,f11(x1552,f11(x1553,f13(x1554,f11(x1555,f10(a1)))))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[146,32])). % 65.41/65.58 cnf(161,plain, % 65.41/65.58 (~P1(f13(f11(x1611,f11(x1612,f13(x1613,f11(x1614,f10(a1))))),x1615),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[146,32,31,30,33])). % 65.41/65.58 cnf(166,plain, % 65.41/65.58 (~P1(f13(x1661,f11(x1662,f11(x1663,f11(x1664,f13(x1665,f11(x1666,f10(a1))))))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[155,32,31])). % 65.41/65.58 cnf(168,plain, % 65.41/65.58 (~P1(f13(f11(x1681,f11(x1682,f11(x1683,f13(x1684,f11(x1685,f10(a1)))))),x1686),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[155,32,31,33])). % 65.41/65.58 cnf(173,plain, % 65.41/65.58 (~E(f11(f15(a18),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24))))),f13(x1731,f11(x1732,f10(a1))))), % 65.41/65.58 inference(scs_inference,[],[155,144,32,31,33,30,107,15])). % 65.41/65.58 cnf(187,plain, % 65.41/65.58 (~P1(f13(x1871,f13(f11(x1872,f11(x1873,f13(x1874,f11(x1875,f10(a1))))),x1876)),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[161,32,33,31])). % 65.41/65.58 cnf(189,plain, % 65.41/65.58 (~P1(f13(x1891,f11(x1892,f11(x1893,f11(x1894,f13(x1895,f11(x1896,f10(a1))))))),f6(a7,a22),a19)), % 65.41/65.58 inference(scs_inference,[],[166,161,32,33,31,30])). % 65.41/65.58 cnf(192,plain, % 65.41/65.58 (~E(f11(f15(a18),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24))))),f11(x1921,f10(a1)))), % 65.41/65.58 inference(scs_inference,[],[166,161,132,32,33,31,30,107,15])). % 65.41/65.58 cnf(193,plain, % 65.41/65.58 (~E(f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24)))),f10(a1))), % 65.41/65.58 inference(scs_inference,[],[166,161,132,32,33,31,30,107,15,21])). % 65.41/65.58 cnf(194,plain, % 65.41/65.58 (~P1(f11(x1941,f13(x1942,f11(x1943,f13(x1944,f11(x1945,f10(a1)))))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[148,32])). % 65.41/65.58 cnf(200,plain, % 65.41/65.58 (~P1(f13(x2001,f13(x2002,f11(x2003,f13(x2004,f11(x2005,f10(a1)))))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[168,148,32,33,30,31])). % 65.41/65.58 cnf(205,plain, % 65.41/65.58 (~P1(f13(x2051,f11(x2052,f13(x2053,f11(x2054,f13(x2055,f11(x2056,f10(a1))))))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[194,32,31])). % 65.41/65.58 cnf(207,plain, % 65.41/65.58 (~P1(f13(f11(x2071,f13(x2072,f11(x2073,f13(x2074,f11(x2075,f10(a1)))))),x2076),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[194,32,31,33])). % 65.41/65.58 cnf(221,plain, % 65.41/65.58 (~P1(f13(f13(x2211,f13(x2212,f11(x2213,f13(x2214,f11(x2215,f10(a1)))))),x2216),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[200,32,33])). % 65.41/65.58 cnf(229,plain, % 65.41/65.58 (~P1(f13(x2291,f13(f11(x2292,f13(x2293,f11(x2294,f10(a1)))),x2295)),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[152,32,31])). % 65.41/65.58 cnf(249,plain, % 65.41/65.58 (~P1(f13(x2491,f13(x2492,f13(f11(x2493,f13(x2494,f11(x2495,f10(a1)))),x2496))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[187,229,32,33,30,31])). % 65.41/65.58 cnf(259,plain, % 65.41/65.58 (~P1(f11(x2591,f13(x2592,f13(x2593,f11(x2594,f10(a1))))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[142,32])). % 65.41/65.58 cnf(263,plain, % 65.41/65.58 (~P1(f13(x2631,f13(x2632,f13(x2633,f11(x2634,f10(a1))))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[205,142,32,30,31])). % 65.41/65.58 cnf(273,plain, % 65.41/65.58 (~P1(f13(x2731,f11(x2732,f13(x2733,f13(x2734,f11(x2735,f10(a1)))))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[207,259,32,33,30,31])). % 65.41/65.58 cnf(293,plain, % 65.41/65.58 (~P1(f13(f13(x2931,f11(x2932,f13(x2933,f13(x2934,f11(x2935,f10(a1)))))),x2936),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[273,32,33])). % 65.41/65.58 cnf(299,plain, % 65.41/65.58 (~P1(f11(x2991,f13(x2992,f13(x2993,f13(x2994,f11(x2995,f10(a1)))))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[263,32])). % 65.41/65.58 cnf(307,plain, % 65.41/65.58 (~P1(f11(x3071,f11(x3072,f13(x3073,f13(x3074,f13(x3075,f11(x3076,f10(a1))))))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[299,32])). % 65.41/65.58 cnf(313,plain, % 65.41/65.58 (~P1(f13(f11(x3131,f13(x3132,f13(x3133,f13(x3134,f11(x3135,f10(a1)))))),x3136),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[221,299,32,30,31,33])). % 65.41/65.58 cnf(370,plain, % 65.41/65.58 (~P1(f13(x3701,f13(f13(x3702,f11(x3703,f10(a1))),x3704)),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[249,144,32,33,30,31])). % 65.41/65.58 cnf(438,plain, % 65.41/65.58 (~P1(f13(f13(x4381,f13(f13(x4382,f11(x4383,f10(a1))),x4384)),x4385),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[370,32,33])). % 65.41/65.58 cnf(457,plain, % 65.41/65.58 (~P1(f13(x4571,f13(f13(x4572,f13(f13(x4573,f11(x4574,f10(a1))),x4575)),x4576)),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[293,438,32,30,31])). % 65.41/65.58 cnf(459,plain, % 65.41/65.58 (~P1(f13(f13(f13(x4591,f13(f13(x4592,f11(x4593,f10(a1))),x4594)),x4595),x4596),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[293,438,32,30,31,33])). % 65.41/65.58 cnf(469,plain, % 65.41/65.58 (~P1(f11(x4691,f11(x4692,f11(x4693,f10(a1)))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[130,32])). % 65.41/65.58 cnf(473,plain, % 65.41/65.58 (~P1(f13(x4731,f11(x4732,f11(x4733,f10(a1)))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[307,130,32,30,31])). % 65.41/65.58 cnf(475,plain, % 65.41/65.58 (~P1(f13(f11(x4751,f11(x4752,f10(a1))),x4753),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[307,130,32,30,31,33])). % 65.41/65.58 cnf(479,plain, % 65.41/65.58 (~P1(f11(x4791,f11(x4792,f11(x4793,f11(x4794,f10(a1))))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[469,473,107,32])). % 65.41/65.58 cnf(496,plain, % 65.41/65.58 (~E(f11(f15(a18),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24))))),f11(x4961,f11(x4962,f10(a1))))), % 65.41/65.58 inference(scs_inference,[],[313,479,475,107,32,30,31,33,15])). % 65.41/65.58 cnf(497,plain, % 65.41/65.58 (~E(f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24)))),f11(x4971,f10(a1)))), % 65.41/65.58 inference(scs_inference,[],[313,479,475,107,32,30,31,33,15,21])). % 65.41/65.58 cnf(796,plain, % 65.41/65.58 (~P1(f11(x7961,f13(f11(x7962,f10(a1)),x7963)),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[132,32])). % 65.41/65.58 cnf(800,plain, % 65.41/65.58 (~P1(f13(f13(f11(x8001,f10(a1)),x8002),x8003),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[457,132,32,30,33])). % 65.41/65.58 cnf(814,plain, % 65.41/65.58 (~E(f11(f15(a18),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24))))),f13(f11(x8141,f10(a1)),x8142))), % 65.41/65.58 inference(scs_inference,[],[459,796,800,107,32,30,33,31,15])). % 65.41/65.58 cnf(1392,plain, % 65.41/65.58 (E(f2(a1),f2(a21))), % 65.41/65.58 inference(scs_inference,[],[25,4])). % 65.41/65.58 cnf(1394,plain, % 65.41/65.58 (E(f17(a1),f17(a21))), % 65.41/65.58 inference(scs_inference,[],[25,4,5,8])). % 65.41/65.58 cnf(1395,plain, % 65.41/65.58 (E(f15(a1),f15(a21))), % 65.41/65.58 inference(scs_inference,[],[25,4,5,8,9])). % 65.41/65.58 cnf(1396,plain, % 65.41/65.58 (E(f9(a1),f9(a21))), % 65.41/65.58 inference(scs_inference,[],[25,4,5,8,9,10])). % 65.41/65.58 cnf(1397,plain, % 65.41/65.58 (E(f10(a1),f10(a21))), % 65.41/65.58 inference(scs_inference,[],[25,4,5,8,9,10,11])). % 65.41/65.58 cnf(1398,plain, % 65.41/65.58 (E(f12(a1),f12(a21))), % 65.41/65.58 inference(scs_inference,[],[25,4,5,8,9,10,11,12])). % 65.41/65.58 cnf(1399,plain, % 65.41/65.58 (E(f5(a1),f5(a21))), % 65.41/65.58 inference(scs_inference,[],[25,4,5,8,9,10,11,12,19])). % 65.41/65.58 cnf(1400,plain, % 65.41/65.58 (E(f3(a1,x14001),f3(a21,x14001))), % 65.41/65.58 inference(scs_inference,[],[25,4,5,8,9,10,11,12,19,6])). % 65.41/65.58 cnf(1401,plain, % 65.41/65.58 (E(f3(x14011,a1),f3(x14011,a21))), % 65.41/65.58 inference(scs_inference,[],[25,4,5,8,9,10,11,12,19,6,7])). % 65.41/65.58 cnf(1402,plain, % 65.41/65.58 (E(f6(a1,x14021),f6(a21,x14021))), % 65.41/65.58 inference(scs_inference,[],[25,4,5,8,9,10,11,12,19,6,7,13])). % 65.41/65.58 cnf(1403,plain, % 65.41/65.58 (E(f6(x14031,a1),f6(x14031,a21))), % 65.41/65.58 inference(scs_inference,[],[25,4,5,8,9,10,11,12,19,6,7,13,14])). % 65.41/65.58 cnf(1405,plain, % 65.41/65.58 (E(f4(a1,x14051),f4(a21,x14051))), % 65.41/65.58 inference(scs_inference,[],[25,4,5,8,9,10,11,12,19,6,7,13,14,16,17])). % 65.41/65.58 cnf(1406,plain, % 65.41/65.58 (E(f4(x14061,a1),f4(x14061,a21))), % 65.41/65.58 inference(scs_inference,[],[25,4,5,8,9,10,11,12,19,6,7,13,14,16,17,18])). % 65.41/65.58 cnf(1408,plain, % 65.41/65.58 (~E(f10(a1),a25)), % 65.41/65.58 inference(scs_inference,[],[25,118,4,5,8,9,10,11,12,19,6,7,13,14,16,17,18,20,2])). % 65.41/65.58 cnf(1409,plain, % 65.41/65.58 (E(f11(x14091,a1),f11(x14091,a21))), % 65.41/65.58 inference(scs_inference,[],[25,118,4,5,8,9,10,11,12,19,6,7,13,14,16,17,18,20,2,21])). % 65.41/65.58 cnf(1410,plain, % 65.41/65.58 (~P1(f10(a1),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[25,118,29,4,5,8,9,10,11,12,19,6,7,13,14,16,17,18,20,2,21,34])). % 65.41/65.58 cnf(1412,plain, % 65.41/65.58 (P1(f11(f15(a18),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24))))),f8(f2(f2(f6(a7,a22)))),a19)), % 65.41/65.58 inference(scs_inference,[],[25,118,89,29,4,5,8,9,10,11,12,19,6,7,13,14,16,17,18,20,2,21,34,33])). % 65.41/65.58 cnf(1414,plain, % 65.41/65.58 (P1(f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24)))),f8(f2(f2(f6(a7,a22)))),a19)), % 65.41/65.58 inference(scs_inference,[],[25,118,89,29,4,5,8,9,10,11,12,19,6,7,13,14,16,17,18,20,2,21,34,33,32])). % 65.41/65.58 cnf(1416,plain, % 65.41/65.58 (P1(a25,f8(f2(f2(f6(a7,a22)))),a19)), % 65.41/65.58 inference(scs_inference,[],[25,118,89,29,4,5,8,9,10,11,12,19,6,7,13,14,16,17,18,20,2,21,34,33,32,31])). % 65.41/65.58 cnf(1429,plain, % 65.41/65.58 (E(f6(f3(a1,x14291),x14292),f6(f3(a21,x14291),x14292))), % 65.41/65.58 inference(scs_inference,[],[1400,9,13])). % 65.41/65.58 cnf(1434,plain, % 65.41/65.58 (E(f3(x14341,f3(a1,x14342)),f3(x14341,f3(a21,x14342)))), % 65.41/65.58 inference(scs_inference,[],[1400,9,13,11,10,12,19,7])). % 65.41/65.58 cnf(1437,plain, % 65.41/65.58 (E(f4(f3(a1,x14371),x14372),f4(f3(a21,x14371),x14372))), % 65.41/65.58 inference(scs_inference,[],[1400,9,13,11,10,12,19,7,5,20,17])). % 65.41/65.58 cnf(1439,plain, % 65.41/65.58 (E(f6(x14391,f3(a1,x14392)),f6(x14391,f3(a21,x14392)))), % 65.41/65.58 inference(scs_inference,[],[1400,9,13,11,10,12,19,7,5,20,17,16,14])). % 65.41/65.58 cnf(1442,plain, % 65.41/65.58 (E(f4(x14421,f3(a1,x14422)),f4(x14421,f3(a21,x14422)))), % 65.41/65.58 inference(scs_inference,[],[1400,9,13,11,10,12,19,7,5,20,17,16,14,4,8,18])). % 65.41/65.58 cnf(1443,plain, % 65.41/65.58 (E(f3(f3(a1,x14431),x14432),f3(f3(a21,x14431),x14432))), % 65.41/65.58 inference(scs_inference,[],[1400,9,13,11,10,12,19,7,5,20,17,16,14,4,8,18,6])). % 65.41/65.58 cnf(1444,plain, % 65.41/65.58 (~E(f10(a1),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24)))))), % 65.41/65.58 inference(scs_inference,[],[1400,193,9,13,11,10,12,19,7,5,20,17,16,14,4,8,18,6,2])). % 65.41/65.58 cnf(1445,plain, % 65.41/65.58 (E(f11(x14451,f3(a1,x14452)),f11(x14451,f3(a21,x14452)))), % 65.41/65.58 inference(scs_inference,[],[1400,193,9,13,11,10,12,19,7,5,20,17,16,14,4,8,18,6,2,21])). % 65.41/65.58 cnf(1448,plain, % 65.41/65.58 (P1(f13(f10(a21),f13(f12(a23),f12(a24))),f8(f2(f2(f6(a7,a22)))),a19)), % 65.41/65.58 inference(scs_inference,[],[1400,193,1414,9,13,11,10,12,19,7,5,20,17,16,14,4,8,18,6,2,21,33,31])). % 65.41/65.58 cnf(1453,plain, % 65.41/65.58 (~E(f10(a21),a25)), % 65.41/65.58 inference(scs_inference,[],[1400,1397,1408,193,1416,1414,9,13,11,10,12,19,7,5,20,17,16,14,4,8,18,6,2,21,33,31,15,30,3])). % 65.41/65.58 cnf(1474,plain, % 65.41/65.58 (P1(f10(a21),f8(f2(f2(f6(a7,a22)))),a19)), % 65.41/65.58 inference(scs_inference,[],[1392,1448,10,19,12,13,16,9,7,11,5,17,8,6,20,4,14,18,33])). % 65.41/65.58 cnf(1477,plain, % 65.41/65.58 (P1(f13(f12(a23),f12(a24)),f8(f2(f2(f6(a7,a22)))),a19)), % 65.41/65.58 inference(scs_inference,[],[1392,1453,1448,10,19,12,13,16,9,7,11,5,17,8,6,20,4,14,18,33,2,31])). % 65.41/65.58 cnf(1498,plain, % 65.41/65.58 (P1(f12(a23),f8(f2(f2(f6(a7,a22)))),a19)), % 65.41/65.58 inference(scs_inference,[],[1394,1477,13,16,9,10,19,7,11,12,8,17,33])). % 65.41/65.58 cnf(1501,plain, % 65.41/65.58 (P1(f12(a24),f8(f2(f2(f6(a7,a22)))),a19)), % 65.41/65.58 inference(scs_inference,[],[1394,1477,13,16,9,10,19,7,11,12,8,17,33,5,31])). % 65.41/65.58 cnf(1513,plain, % 65.41/65.58 (~E(f10(a21),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24)))))), % 65.41/65.58 inference(scs_inference,[],[1394,1444,1474,497,1477,1397,13,16,9,10,19,7,11,12,8,17,33,5,31,4,20,6,18,14,2,21,15,30,3])). % 65.41/65.58 cnf(1522,plain, % 65.41/65.58 (P1(a25,f8(f2(f6(a7,a22))),a19)), % 65.41/65.58 inference(scs_inference,[],[1395,78,13,16,9,10,31])). % 65.41/65.58 cnf(1546,plain, % 65.41/65.58 (P1(f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24)))),f8(f2(f6(a7,a22))),a19)), % 65.41/65.58 inference(scs_inference,[],[1395,1401,1443,1513,1498,78,13,16,9,10,31,33,12,19,11,8,7,5,17,20,14,18,2,4,6,21,15,30,3,32])). % 65.41/65.58 cnf(1555,plain, % 65.41/65.58 (P1(f13(f10(a21),f13(f12(a23),f12(a24))),f8(f2(f6(a7,a22))),a19)), % 65.41/65.58 inference(scs_inference,[],[1396,1398,1546,13,16,9,31])). % 65.41/65.58 cnf(1558,plain, % 65.41/65.58 (P1(f9(a20),f8(f2(f6(a7,a22))),a19)), % 65.41/65.58 inference(scs_inference,[],[1396,1398,1546,13,16,9,31,10,33])). % 65.41/65.58 cnf(1577,plain, % 65.41/65.58 (~P1(f10(a1),f8(f2(f2(f2(f2(f6(a7,a22)))))),a19)), % 65.41/65.58 inference(scs_inference,[],[1396,1398,1522,1546,192,1410,51,13,16,9,31,10,33,19,17,12,5,11,7,8,14,4,20,2,18,6,21,15,30,23])). % 65.41/65.58 cnf(1585,plain, % 65.41/65.58 (P1(f13(f12(a23),f12(a24)),f8(f2(f6(a7,a22))),a19)), % 65.41/65.58 inference(scs_inference,[],[1399,1555,13,16,9,31])). % 65.41/65.58 cnf(1607,plain, % 65.41/65.58 (E(f6(a1,a1),f6(a21,a21))), % 65.41/65.58 inference(scs_inference,[],[1399,1402,1403,1558,1555,173,13,16,9,31,10,33,17,19,8,7,12,5,11,4,14,18,2,20,15,6,21,30,3])). % 65.41/65.58 cnf(1614,plain, % 65.41/65.58 (E(f13(x16141,f4(a1,x16142)),f13(x16141,f4(a21,x16142)))), % 65.41/65.58 inference(scs_inference,[],[1405,16])). % 65.41/65.58 cnf(1615,plain, % 65.41/65.58 (P1(f12(a24),f8(f2(f6(a7,a22))),a19)), % 65.41/65.58 inference(scs_inference,[],[1405,1585,16,31])). % 65.41/65.58 cnf(1617,plain, % 65.41/65.58 (E(f6(f4(a1,x16171),x16172),f6(f4(a21,x16171),x16172))), % 65.41/65.58 inference(scs_inference,[],[1405,1585,16,31,13])). % 65.41/65.58 cnf(1619,plain, % 65.41/65.58 (P1(f12(a23),f8(f2(f6(a7,a22))),a19)), % 65.41/65.58 inference(scs_inference,[],[1405,1585,16,31,13,9,33])). % 65.41/65.58 cnf(1622,plain, % 65.41/65.58 (E(f3(x16221,f4(a1,x16222)),f3(x16221,f4(a21,x16222)))), % 65.41/65.58 inference(scs_inference,[],[1405,1585,16,31,13,9,33,10,7])). % 65.41/65.58 cnf(1626,plain, % 65.41/65.58 (E(f4(f4(a1,x16261),x16262),f4(f4(a21,x16261),x16262))), % 65.41/65.58 inference(scs_inference,[],[1405,1585,16,31,13,9,33,10,7,19,5,8,17])). % 65.41/65.58 cnf(1631,plain, % 65.41/65.58 (E(f6(x16311,f4(a1,x16312)),f6(x16311,f4(a21,x16312)))), % 65.41/65.58 inference(scs_inference,[],[1405,1585,496,16,31,13,9,33,10,7,19,5,8,17,11,12,4,2,14])). % 65.41/65.58 cnf(1642,plain, % 65.41/65.58 (P1(a25,f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[79,31])). % 65.41/65.58 cnf(1670,plain, % 65.41/65.58 (~P1(f10(a1),f8(f2(f2(f6(a7,a22)))),a19)), % 65.41/65.58 inference(scs_inference,[],[1406,1437,1615,814,1577,53,79,31,33,16,13,9,10,7,12,19,4,17,5,8,2,11,15,14,18,20,21,6,30,3,23])). % 65.41/65.58 cnf(1672,plain, % 65.41/65.58 (P1(f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24)))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[1406,1437,1615,814,1577,53,79,31,33,16,13,9,10,7,12,19,4,17,5,8,2,11,15,14,18,20,21,6,30,3,23,32])). % 65.41/65.58 cnf(1678,plain, % 65.41/65.58 (P1(f9(a20),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[1672,33])). % 65.41/65.58 cnf(1680,plain, % 65.41/65.58 (P1(f13(f10(a21),f13(f12(a23),f12(a24))),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[1672,33,31])). % 65.41/65.58 cnf(1703,plain, % 65.41/65.58 (~E(f12(a24),f10(a1))), % 65.41/65.58 inference(scs_inference,[],[1409,1642,1501,1670,1672,125,33,31,16,13,9,8,2,11,7,10,17,12,5,4,19,14,20,15,18,6,21,30,22])). % 65.41/65.58 cnf(1707,plain, % 65.41/65.58 (P1(f13(f12(a23),f12(a24)),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[1680,31])). % 65.41/65.58 cnf(1709,plain, % 65.41/65.58 (P1(f10(a21),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[1680,31,33])). % 65.41/65.58 cnf(1717,plain, % 65.41/65.58 (~E(f10(a1),f12(a24))), % 65.41/65.58 inference(scs_inference,[],[1607,1703,1680,31,33,13,16,9,7,11,8,2])). % 65.41/65.58 cnf(1736,plain, % 65.41/65.58 (~E(f11(f15(a18),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24))))),f10(a1))), % 65.41/65.58 inference(scs_inference,[],[1607,1703,1678,1429,1439,1680,1412,189,1670,31,33,13,16,9,7,11,8,2,12,19,14,17,20,4,10,5,18,15,6,21,30,3,23,22])). % 65.41/65.58 cnf(1741,plain, % 65.41/65.58 (P1(f12(a23),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[1707,33])). % 65.41/65.58 cnf(1743,plain, % 65.41/65.58 (P1(f12(a24),f8(f6(a7,a22)),a19)), % 65.41/65.58 inference(scs_inference,[],[1707,33,31])). % 65.41/65.58 cnf(1748,plain, % 65.41/65.58 (~E(f10(a1),f11(f15(a18),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24))))))), % 65.41/65.58 inference(scs_inference,[],[1434,1707,1736,33,31,16,13,9,2])). % 65.41/65.58 cnf(1766,plain, % 65.41/65.58 (~E(f10(a21),f12(a24))), % 65.41/65.58 inference(scs_inference,[],[1717,1709,1434,1707,1736,1397,33,31,16,13,9,2,8,11,7,4,14,10,5,20,19,17,12,15,18,6,21,30,3])). % 65.41/65.58 cnf(1796,plain, % 65.41/65.58 (~E(f12(a23),f10(a1))), % 65.41/65.58 inference(scs_inference,[],[1766,1741,1442,1626,1410,16,9,13,2,8,10,7,5,11,19,4,20,14,17,15,12,18,6,21,30,3,22])). % 65.41/65.58 cnf(1825,plain, % 65.41/65.58 (~E(f10(a21),f11(f15(a18),f13(f9(a20),f13(f10(a21),f13(f12(a23),f12(a24))))))), % 65.41/65.58 inference(scs_inference,[],[1796,1743,1445,1748,1577,54,1397,16,9,13,10,8,2,11,5,7,20,14,19,15,4,17,12,18,6,21,30,23,3])). % 65.41/65.58 cnf(1854,plain, % 65.41/65.58 (~E(f10(a21),f10(a1))), % 65.41/65.58 inference(scs_inference,[],[1614,1617,1631,1619,1825,1474,1670,16,13,9,10,8,2,5,11,20,7,14,19,15,17,18,4,12,6,21,30,3,22])). % 65.41/65.58 cnf(1865,plain, % 65.41/65.58 ($false), % 65.41/65.58 inference(scs_inference,[],[1854,1622,1397,16,9,13,8,10,2]), % 65.41/65.58 ['proof']). % 65.41/65.58 % SZS output end Proof % 65.41/65.58 % Total time :64.810000s %------------------------------------------------------------------------------