%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV308-2 : 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 : 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 16:46:38 EDT 2024 % Result : Unsatisfiable 120.41s 120.51s % Output : CNFRefutation 120.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV308-2 : 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 % 0.12/0.33 % 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 15:28:54 EDT 2024 % 0.12/0.33 % CPUTime : % 0.49/0.56 start to proof:theBenchmark % 120.41/120.50 %------------------------------------------- % 120.41/120.50 % File :CSE---1.7 % 120.41/120.50 % Problem :theBenchmark % 120.41/120.50 % Transform :cnf % 120.41/120.50 % Format :tptp:raw % 120.41/120.50 % Command :java -jar mcs_scs.jar %d %s % 120.41/120.50 % 120.41/120.50 % Result :Theorem 119.820000s % 120.41/120.50 % Output :CNFRefutation 119.820000s % 120.41/120.50 %------------------------------------------- % 120.41/120.51 %------------------------------------------------------------------------------ % 120.41/120.51 % File : SWV308-2 : TPTP v8.2.0. Released v3.2.0. % 120.41/120.51 % Domain : Software Verification (Security) % 120.41/120.51 % Problem : Cryptographic protocol problem for Otway Rees % 120.41/120.51 % Version : [Pau06] axioms : Reduced > Especial. % 120.41/120.51 % English : % 120.41/120.51 % 120.41/120.51 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 120.41/120.51 % Source : [Pau06] % 120.41/120.51 % Names : % 120.41/120.51 % 120.41/120.51 % Status : Unsatisfiable % 120.41/120.51 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.0.0, 0.25 v6.3.0, 0.14 v6.2.0, 0.22 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.36 v4.1.0, 0.25 v4.0.1, 0.40 v4.0.0, 0.43 v3.4.0, 0.50 v3.3.0, 0.33 v3.2.0 % 120.41/120.51 % Syntax : Number of clauses : 16 ( 5 unt; 2 nHn; 16 RR) % 120.41/120.51 % Number of literals : 32 ( 0 equ; 16 neg) % 120.41/120.51 % Maximal clause size : 3 ( 2 avg) % 120.41/120.51 % Maximal term depth : 7 ( 2 avg) % 120.41/120.51 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 120.41/120.51 % Number of functors : 34 ( 34 usr; 17 con; 0-3 aty) % 120.41/120.51 % Number of variables : 29 ( 4 sgn) % 120.41/120.51 % SPC : CNF_UNS_RFO_NEQ_NHN % 120.41/120.51 % 120.41/120.51 % Comments : The problems in the [Pau06] collection each have very many axioms, % 120.41/120.51 % of which only a small selection are required for the refutation. % 120.41/120.51 % The mission is to find those few axioms, after which a refutation % 120.41/120.51 % can be quite easily found. This version has only the necessary % 120.41/120.51 % axioms. % 120.41/120.51 %------------------------------------------------------------------------------ % 120.41/120.51 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom, % 120.41/120.51 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 120.41/120.51 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_Message_OCrypt__synth_0,axiom, % 120.41/120.51 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 120.41/120.51 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 120.41/120.51 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom, % 120.41/120.51 ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) % 120.41/120.51 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 120.41/120.51 | c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_Message_OMPair__analz_0,axiom, % 120.41/120.51 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) % 120.41/120.51 | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_Message_OMPair__analz_1,axiom, % 120.41/120.51 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) % 120.41/120.51 | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom, % 120.41/120.51 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 120.41/120.51 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_Message_Osynth_OInj_0,axiom, % 120.41/120.51 ( ~ c_in(V_X,V_H,tc_Message_Omsg) % 120.41/120.51 | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom, % 120.41/120.51 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 120.41/120.51 | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 120.41/120.51 | 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) ) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom, % 120.41/120.51 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) % 120.41/120.51 | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 120.41/120.51 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_Set_OUnE_0,axiom, % 120.41/120.51 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) % 120.41/120.51 | c_in(V_c,V_B,T_a) % 120.41/120.51 | c_in(V_c,V_A,T_a) ) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_conjecture_0,negated_conjecture, % 120.41/120.51 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_conjecture_1,negated_conjecture, % 120.41/120.51 c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_conjecture_4,negated_conjecture, % 120.41/120.51 c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_conjecture_5,negated_conjecture, % 120.41/120.51 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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_conjecture_6,negated_conjecture, % 120.41/120.51 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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ). % 120.41/120.51 % 120.41/120.51 cnf(cls_conjecture_7,negated_conjecture, % 120.41/120.51 ( ~ 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_evs4)),tc_Message_Omsg) % 120.41/120.51 | ~ 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_evs4)),tc_Message_Omsg) ) ). % 120.41/120.51 % 120.41/120.51 %------------------------------------------------------------------------------ % 120.41/120.51 %------------------------------------------- % 120.41/120.51 % Proof found % 120.41/120.51 % SZS status Theorem for theBenchmark % 120.41/120.51 % SZS output start Proof % 120.41/120.52 %ClaNum:16(EqnAxiom:0) % 120.41/120.52 %VarNum:65(SingletonVarNum:29) % 120.41/120.52 %MaxLitNum:3 % 120.41/120.52 %MaxfuncDepth:6 % 120.41/120.52 %SharedTerms:50 % 120.41/120.52 %goalClause: 1 2 3 4 5 16 % 120.41/120.52 %singleGoalClaCount:5 % 120.41/120.52 [5]~P1(a22,a7,a24) % 120.41/120.52 [1]P1(a1,a2,f21(a17)) % 120.41/120.52 [2]P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f14(f19(a30,f5(a4,a1),a23)),a23) % 120.41/120.52 [3]P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f14(f19(a30,f5(a4,a1),a23)),a23) % 120.41/120.52 [4]P1(f6(a28,f11(f15(a32),f11(a30,f12(f18(a28),f11(f15(a33),f13(a29)))))),f9(a1,a17),a17) % 120.41/120.52 [16]~P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f14(f5(a4,a1)),a23)+~P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f14(f5(a4,a1)),a23) % 120.41/120.52 [6]~P1(x61,x62,a23)+P1(x61,f16(x62),a23) % 120.41/120.52 [7]~P1(x71,f10(x72),a23)+P1(x71,f14(x72),a23) % 120.41/120.52 [8]P1(x81,f10(x82),a23)+~P1(f11(x83,x81),f10(x82),a23) % 120.41/120.52 [9]P1(x91,f10(x92),a23)+~P1(f11(x91,x93),f10(x92),a23) % 120.41/120.52 [13]~P1(f8(x133,x134,x131),f9(x132,a17),a17)+P1(x131,f10(f5(a4,x132)),a23) % 120.41/120.52 [11]P1(x111,a7,a24)+~P1(x112,a2,f21(a17))+~P1(f13(f18(x111)),f14(f5(a4,x112)),a23) % 120.41/120.52 [10]P1(f13(x101),x102,a23)+P1(f12(x101,x103),x102,a23)+~P1(f12(x101,x103),f16(x102),a23) % 120.41/120.52 [14]~P1(f6(x141,x142),f9(x143,a17),a17)+~P1(x143,a2,f21(a17))+P1(f8(f34(x141,x142,x143),x141,x142),f9(x143,a17),a17) % 120.41/120.52 [15]~P1(x153,f16(f10(x152)),a23)+~P1(x151,f14(f19(x153,x152,a23)),a23)+P1(x151,f20(f16(f10(x152)),f14(x152),a23),a23) % 120.41/120.52 [12]P1(x121,x122,x123)+P1(x121,x124,x123)+~P1(x121,f20(x124,x122,x123),x123) % 120.41/120.52 %EqnAxiom % 120.41/120.52 % 120.41/120.52 %------------------------------------------- % 120.44/120.53 cnf(17,plain, % 120.44/120.53 (P1(x171,f16(f14(x172)),a23)+~P1(x171,f10(x172),a23)), % 120.44/120.53 inference(scs_inference,[],[6,7])). % 120.44/120.53 cnf(18,plain, % 120.44/120.53 (P1(x181,f16(f14(x182)),a23)+~P1(f11(x183,x181),f10(x182),a23)), % 120.44/120.53 inference(scs_inference,[],[17,8])). % 120.44/120.53 cnf(19,plain, % 120.44/120.53 (P1(x191,f16(f14(x192)),a23)+~P1(f11(f11(x193,x191),x194),f10(x192),a23)), % 120.44/120.53 inference(scs_inference,[],[9,18])). % 120.44/120.53 cnf(21,plain, % 120.44/120.53 (P1(f11(f15(a32),f11(a30,f12(f18(a28),f11(f15(a33),f13(a29))))),f10(f5(a4,a1)),a23)), % 120.44/120.53 inference(scs_inference,[],[1,4,13,14])). % 120.44/120.53 cnf(34,plain, % 120.44/120.53 (~P1(f13(f18(a22)),f20(f14(f5(a4,a1)),f14(f5(a4,a1)),a23),a23)), % 120.44/120.53 inference(scs_inference,[],[1,5,12,11])). % 120.44/120.53 cnf(37,plain, % 120.44/120.53 (P1(f12(f18(a22),x371),f14(f5(a4,a1)),a23)+~P1(f12(f18(a22),x371),f16(f20(f14(f5(a4,a1)),f14(f5(a4,a1)),a23)),a23)), % 120.44/120.53 inference(scs_inference,[],[34,10,12])). % 120.44/120.53 cnf(55,plain, % 120.44/120.53 (P1(f11(a30,f12(f18(a28),f11(f15(a33),f13(a29)))),f16(f16(f14(f5(a4,a1)))),a23)), % 120.44/120.53 inference(scs_inference,[],[21,6,18])). % 120.44/120.53 cnf(81,plain, % 120.44/120.53 (~P1(f13(f18(a22)),f10(f5(a4,a1)),a23)), % 120.44/120.53 inference(scs_inference,[],[1,5,7,11])). % 120.44/120.53 cnf(82,plain, % 120.44/120.53 (~P1(f11(x821,f13(f18(a22))),f10(f5(a4,a1)),a23)), % 120.44/120.53 inference(scs_inference,[],[81,8])). % 120.44/120.53 cnf(84,plain, % 120.44/120.53 (~P1(f11(f13(f18(a22)),x841),f10(f5(a4,a1)),a23)), % 120.44/120.53 inference(scs_inference,[],[81,8,9])). % 120.44/120.53 cnf(90,plain, % 120.44/120.53 (P1(f12(f18(a22),x901),f10(f5(a4,a1)),a23)+~P1(f12(f18(a22),x901),f16(f10(f5(a4,a1))),a23)), % 120.44/120.53 inference(scs_inference,[],[1,81,8,9,13,14,10])). % 120.44/120.53 cnf(95,plain, % 120.44/120.53 (~P1(f11(x951,f11(x952,f13(f18(a22)))),f10(f5(a4,a1)),a23)), % 120.44/120.53 inference(scs_inference,[],[82,8])). % 120.44/120.53 cnf(109,plain, % 120.44/120.53 (~P1(f6(x1091,f11(x1092,f11(x1093,f13(f18(a22))))),f9(a1,a17),a17)), % 120.44/120.53 inference(scs_inference,[],[1,95,8,9,13,14])). % 120.44/120.53 cnf(154,plain, % 120.44/120.53 (~P1(f6(x1541,f11(f13(f18(a22)),x1542)),f9(a1,a17),a17)), % 120.44/120.53 inference(scs_inference,[],[1,84,8,9,13,14])). % 120.44/120.53 cnf(212,plain, % 120.44/120.53 (~P1(f12(f18(a22),x2121),f16(f10(f5(a4,a1))),a23)+P1(f12(f18(a22),x2121),f14(f5(a4,a1)),a23)), % 120.44/120.53 inference(scs_inference,[],[7,90])). % 120.44/120.53 cnf(269,plain, % 120.44/120.53 (~P1(f13(f18(a22)),f20(f10(f5(a4,a1)),f10(x2691),a23),a23)+P1(f13(f18(a22)),f14(x2691),a23)), % 120.44/120.53 inference(scs_inference,[],[81,7,12])). % 120.44/120.53 cnf(270,plain, % 120.44/120.53 (~P1(f13(f18(a22)),f20(f10(f5(a4,a1)),f10(f5(a4,a1)),a23),a23)), % 120.44/120.53 inference(scs_inference,[],[1,5,269,11])). % 120.44/120.53 cnf(273,plain, % 120.44/120.53 (P1(f12(f18(a22),x2731),f10(f5(a4,a1)),a23)+~P1(f12(f18(a22),x2731),f16(f20(f10(f5(a4,a1)),f10(f5(a4,a1)),a23)),a23)), % 120.44/120.53 inference(scs_inference,[],[270,10,12])). % 120.44/120.53 cnf(277,plain, % 120.44/120.53 (~P1(f12(f18(a22),x2771),f16(f20(f10(f5(a4,a1)),f10(f5(a4,a1)),a23)),a23)+P1(f12(f18(a22),x2771),f16(f10(f5(a4,a1))),a23)), % 120.44/120.53 inference(scs_inference,[],[273,6])). % 120.44/120.53 cnf(280,plain, % 120.44/120.53 (P1(f12(f18(a22),x2801),f14(f5(a4,a1)),a23)+~P1(f12(f18(a22),x2801),f16(f20(f10(f5(a4,a1)),f10(f5(a4,a1)),a23)),a23)), % 120.44/120.53 inference(scs_inference,[],[277,212])). % 120.44/120.53 cnf(306,plain, % 120.44/120.53 (P1(f15(a32),f16(f14(f5(a4,a1))),a23)), % 120.44/120.53 inference(scs_inference,[],[21,17,9])). % 120.44/120.53 cnf(327,plain, % 120.44/120.53 (P1(a30,f10(f5(a4,a1)),a23)), % 120.44/120.53 inference(scs_inference,[],[21,8,9])). % 120.44/120.53 cnf(328,plain, % 120.44/120.53 (P1(a30,f16(f14(f5(a4,a1))),a23)), % 120.44/120.53 inference(scs_inference,[],[327,17])). % 120.44/120.53 cnf(762,plain, % 120.44/120.53 (P1(f11(a30,f12(f18(a28),f11(f15(a33),f13(a29)))),f10(f5(a4,a1)),a23)), % 120.44/120.53 inference(scs_inference,[],[306,327,21,6,7,8])). % 120.44/120.53 cnf(766,plain, % 120.44/120.53 (~P1(f13(f18(a22)),f14(f5(a4,a1)),a23)), % 120.44/120.53 inference(scs_inference,[],[1,306,327,21,5,6,7,8,9,11])). % 120.44/120.53 cnf(781,plain, % 120.44/120.53 (P1(f12(f18(a28),f11(f15(a33),f13(a29))),f10(f5(a4,a1)),a23)), % 120.44/120.53 inference(scs_inference,[],[328,762,6,8])). % 120.44/120.53 cnf(799,plain, % 120.44/120.53 (~P1(a30,f16(f10(f5(a4,a1))),a23)+P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f20(f16(f10(f5(a4,a1))),f14(f5(a4,a1)),a23),a23)), % 120.44/120.53 inference(scs_inference,[],[781,154,3,6,12,15])). % 120.44/120.53 cnf(845,plain, % 120.44/120.53 (P1(f11(a30,f12(f18(a28),f11(f15(a33),f13(a29)))),f16(f16(f16(f14(f5(a4,a1))))),a23)), % 120.44/120.53 inference(scs_inference,[],[55,6])). % 120.44/120.53 cnf(859,plain, % 120.44/120.53 (~P1(f6(x8591,f11(x8592,f11(x8593,f13(f18(a22))))),f20(f9(a1,a17),f9(a1,a17),a17),a17)), % 120.44/120.53 inference(scs_inference,[],[109,845,6,12])). % 120.44/120.53 cnf(884,plain, % 120.44/120.53 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f20(f16(f10(f5(a4,a1))),f14(f5(a4,a1)),a23),a23)), % 120.44/120.53 inference(scs_inference,[],[327,2,6,15])). % 120.44/120.53 cnf(888,plain, % 120.44/120.53 (P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f20(f16(f10(f5(a4,a1))),f14(f5(a4,a1)),a23),a23)), % 120.44/120.53 inference(scs_inference,[],[859,327,2,6,15,12,799])). % 120.44/120.54 cnf(1367,plain, % 120.44/120.54 (~P1(f12(f18(a22),x13671),f16(f14(f5(a4,a1))),a23)+P1(f12(f18(a22),x13671),f14(f5(a4,a1)),a23)), % 120.44/120.54 inference(scs_inference,[],[766,10])). % 120.44/120.54 cnf(1371,plain, % 120.44/120.54 (~P1(f11(x13711,f12(f18(a22),x13712)),f10(f5(a4,a1)),a23)+P1(f12(f18(a22),x13712),f14(f5(a4,a1)),a23)), % 120.44/120.54 inference(scs_inference,[],[766,10,6,18])). % 120.44/120.54 cnf(1373,plain, % 120.44/120.54 (~P1(f11(f11(x13731,f12(f18(a22),x13732)),x13733),f10(f5(a4,a1)),a23)+P1(f12(f18(a22),x13732),f14(f5(a4,a1)),a23)), % 120.44/120.54 inference(scs_inference,[],[766,10,6,18,19])). % 120.44/120.54 cnf(1375,plain, % 120.44/120.54 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f16(f10(f5(a4,a1))),a23)+P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f14(f5(a4,a1)),a23)), % 120.44/120.54 inference(scs_inference,[],[766,884,10,6,18,19,12])). % 120.44/120.54 cnf(1505,plain, % 120.44/120.54 (P1(f12(f18(a22),x15051),f14(f5(a4,a1)),a23)+~P1(f11(x15052,f11(x15053,f12(f18(a22),x15051))),f10(f5(a4,a1)),a23)), % 120.44/120.54 inference(scs_inference,[],[1371,8])). % 120.44/120.54 cnf(1514,plain, % 120.44/120.54 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f16(f10(f5(a4,a1))),a23)+P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f16(f14(f5(a4,a1))),a23)), % 120.44/120.54 inference(scs_inference,[],[1375,6])). % 120.44/120.54 cnf(1515,plain, % 120.44/120.54 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f16(f14(f5(a4,a1))),a23)+P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f10(f5(a4,a1)),a23)), % 120.44/120.54 inference(scs_inference,[],[1514,90])). % 120.44/120.54 cnf(1516,plain, % 120.44/120.54 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f16(f14(f5(a4,a1))),a23)+P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f14(f5(a4,a1)),a23)), % 120.44/120.54 inference(scs_inference,[],[1515,7])). % 120.44/120.54 cnf(1517,plain, % 120.44/120.54 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f16(f14(f5(a4,a1))),a23)+~P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f14(f5(a4,a1)),a23)), % 120.44/120.54 inference(scs_inference,[],[1516,16])). % 120.44/120.54 cnf(1523,plain, % 120.44/120.54 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f14(f5(a4,a1)),a23)+~P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f14(f5(a4,a1)),a23)), % 120.44/120.54 inference(scs_inference,[],[1517,1367])). % 120.44/120.54 cnf(1524,plain, % 120.44/120.54 (~P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f14(f5(a4,a1)),a23)), % 120.44/120.54 inference(scs_inference,[],[1523,16])). % 120.44/120.54 cnf(1543,plain, % 120.44/120.54 ($false), % 120.44/120.54 inference(scs_inference,[],[766,888,1524,7,1505,1373,1371,280,90,37,10,12]), % 120.44/120.54 ['proof']). % 120.44/120.54 % SZS output end Proof % 120.44/120.54 % Total time :119.820000s %------------------------------------------------------------------------------