%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ANA034-2 : 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 : n017.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 04:13:58 EDT 2024 % Result : Unsatisfiable 117.00s 117.09s % Output : CNFRefutation 117.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : ANA034-2 : TPTP v8.2.0. Released v3.2.0. % 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n017.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 : Sun Jun 23 04:34:38 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.55 start to proof:theBenchmark % 116.92/117.08 %------------------------------------------- % 116.92/117.08 % File :CSE---1.7 % 116.92/117.08 % Problem :theBenchmark % 116.92/117.08 % Transform :cnf % 116.92/117.08 % Format :tptp:raw % 116.92/117.08 % Command :java -jar mcs_scs.jar %d %s % 116.92/117.08 % 116.92/117.08 % Result :Theorem 116.440000s % 116.92/117.08 % Output :CNFRefutation 116.440000s % 116.92/117.08 %------------------------------------------- % 117.00/117.09 %------------------------------------------------------------------------------ % 117.00/117.09 % File : ANA034-2 : TPTP v8.2.0. Released v3.2.0. % 117.00/117.09 % Domain : Analysis % 117.00/117.09 % Problem : Problem about Big-O notation % 117.00/117.09 % Version : [Pau06] axioms : Reduced > Especial. % 117.00/117.09 % English : % 117.00/117.09 % 117.00/117.09 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 117.00/117.09 % Source : [Pau06] % 117.00/117.09 % Names : % 117.00/117.09 % 117.00/117.09 % Status : Unsatisfiable % 117.00/117.09 % Rating : 0.00 v7.3.0, 0.11 v7.2.0, 0.00 v6.0.0, 0.33 v5.5.0, 0.38 v5.4.0, 0.33 v5.3.0, 0.42 v5.2.0, 0.25 v5.1.0, 0.14 v4.1.0, 0.11 v4.0.1, 0.17 v4.0.0, 0.33 v3.5.0, 0.17 v3.3.0, 0.29 v3.2.0 % 117.00/117.09 % Syntax : Number of clauses : 15 ( 6 unt; 0 nHn; 13 RR) % 117.00/117.09 % Number of literals : 31 ( 2 equ; 17 neg) % 117.00/117.09 % Maximal clause size : 6 ( 2 avg) % 117.00/117.09 % Maximal term depth : 5 ( 2 avg) % 117.00/117.09 % Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty) % 117.00/117.09 % Number of functors : 11 ( 11 usr; 5 con; 0-3 aty) % 117.00/117.09 % Number of variables : 20 ( 1 sgn) % 117.00/117.09 % SPC : CNF_UNS_RFO_SEQ_HRN % 117.00/117.09 % 117.00/117.09 % Comments : The problems in the [Pau06] collection each have very many axioms, % 117.00/117.09 % of which only a small selection are required for the refutation. % 117.00/117.09 % The mission is to find those few axioms, after which a refutation % 117.00/117.09 % can be quite easily found. This version has only the necessary % 117.00/117.09 % axioms. % 117.00/117.09 %------------------------------------------------------------------------------ % 117.00/117.09 cnf(cls_Ring__and__Field_Oabs__mult_0,axiom, % 117.00/117.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 117.00/117.09 | c_HOL_Oabs(c_times(V_a,V_b,T_a),T_a) = c_times(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a) ) ). % 117.00/117.09 % 117.00/117.09 cnf(cls_Ring__and__Field_Omult__mono_0,axiom, % 117.00/117.09 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 117.00/117.09 | ~ c_lessequals(V_c,V_d,T_a) % 117.00/117.09 | ~ c_lessequals(V_a,V_b,T_a) % 117.00/117.09 | ~ c_lessequals(c_0,V_c,T_a) % 117.00/117.09 | ~ c_lessequals(c_0,V_b,T_a) % 117.00/117.09 | c_lessequals(c_times(V_a,V_c,T_a),c_times(V_b,V_d,T_a),T_a) ) ). % 117.00/117.09 % 117.00/117.09 cnf(cls_Ring__and__Field_Omult__nonneg__nonneg_0,axiom, % 117.00/117.09 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 117.00/117.09 | ~ c_lessequals(c_0,V_b,T_a) % 117.00/117.09 | ~ c_lessequals(c_0,V_a,T_a) % 117.00/117.09 | c_lessequals(c_0,c_times(V_a,V_b,T_a),T_a) ) ). % 117.00/117.09 % 117.00/117.09 cnf(cls_Orderings_Oorder__less__imp__le_0,axiom, % 117.00/117.09 ( ~ class_Orderings_Oorder(T_a) % 117.00/117.09 | ~ c_less(V_x,V_y,T_a) % 117.00/117.09 | c_lessequals(V_x,V_y,T_a) ) ). % 117.00/117.09 % 117.00/117.09 cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom, % 117.00/117.09 ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a) % 117.00/117.09 | c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a) ) ). % 117.00/117.09 % 117.00/117.09 cnf(cls_conjecture_0,negated_conjecture, % 117.00/117.09 c_less(c_0,v_c,t_b) ). % 117.00/117.09 % 117.00/117.09 cnf(cls_conjecture_2,negated_conjecture, % 117.00/117.09 c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) ). % 117.00/117.09 % 117.00/117.09 cnf(cls_conjecture_3,negated_conjecture, % 117.00/117.09 c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) ). % 117.00/117.09 % 117.00/117.09 cnf(cls_conjecture_4,negated_conjecture, % 117.00/117.09 c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) ). % 117.00/117.09 % 117.00/117.09 cnf(cls_conjecture_5,negated_conjecture, % 117.00/117.09 ~ c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ). % 117.00/117.09 % 117.00/117.09 cnf(tfree_tcs,negated_conjecture, % 117.00/117.09 class_Ring__and__Field_Oordered__idom(t_b) ). % 117.00/117.09 % 117.00/117.09 cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_17,axiom, % 117.00/117.09 ( ~ class_OrderedGroup_Olordered__ab__group__abs(T) % 117.00/117.09 | class_Orderings_Oorder(T) ) ). % 117.00/117.09 % 117.00/117.09 cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom, % 117.00/117.09 ( ~ class_Ring__and__Field_Oordered__idom(T) % 117.00/117.09 | class_Ring__and__Field_Opordered__cancel__semiring(T) ) ). % 117.00/117.09 % 117.00/117.09 cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom, % 117.00/117.09 ( ~ class_Ring__and__Field_Oordered__idom(T) % 117.00/117.09 | class_Ring__and__Field_Opordered__semiring(T) ) ). % 117.00/117.09 % 117.00/117.09 cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom, % 117.00/117.09 ( ~ class_Ring__and__Field_Oordered__idom(T) % 117.00/117.09 | class_OrderedGroup_Olordered__ab__group__abs(T) ) ). % 117.00/117.09 % 117.00/117.09 %------------------------------------------------------------------------------ % 117.00/117.09 %------------------------------------------- % 117.00/117.09 % Proof found % 117.00/117.09 % SZS status Theorem for theBenchmark % 117.00/117.09 % SZS output start Proof % 117.03/117.10 %ClaNum:38(EqnAxiom:23) % 117.03/117.10 %VarNum:56(SingletonVarNum:20) % 117.03/117.10 %MaxLitNum:6 % 117.03/117.10 %MaxfuncDepth:4 % 117.03/117.10 %SharedTerms:28 % 117.03/117.10 %goalClause: 24 25 26 27 28 29 % 117.03/117.10 %singleGoalClaCount:6 % 117.03/117.10 [24]P1(a1) % 117.03/117.10 [25]P2(a2,a5,a1) % 117.03/117.10 [26]P3(f3(f6(a8),a1),f4(a5,f3(f9(a8),a1),a1),a1) % 117.03/117.10 [27]P3(f3(f7(a8),a1),f4(a10,f3(f11(a8),a1),a1),a1) % 117.03/117.10 [28]E(f4(f4(a5,f3(f9(a8),a1),a1),f4(a10,f3(f11(a8),a1),a1),a1),f4(f4(a5,a10,a1),f3(f4(f9(a8),f11(a8),a1),a1),a1)) % 117.03/117.10 [29]~P3(f3(f4(f6(a8),f7(a8),a1),a1),f4(f4(a5,a10,a1),f3(f4(f9(a8),f11(a8),a1),a1),a1),a1) % 117.03/117.10 [30]~P1(x301)+P6(x301) % 117.03/117.10 [31]~P1(x311)+P7(x311) % 117.03/117.10 [32]~P5(x321)+P4(x321) % 117.03/117.10 [33]~P1(x331)+P5(x331) % 117.03/117.10 [34]~P5(x342)+P3(a2,f3(x341,x342),x342) % 117.03/117.10 [36]~P1(x362)+E(f4(f3(x361,x362),f3(x363,x362),x362),f3(f4(x361,x363,x362),x362)) % 117.03/117.10 [35]~P4(x353)+~P2(x351,x352,x353)+P3(x351,x352,x353) % 117.03/117.10 [37]~P7(x373)+~P3(a2,x371,x373)+~P3(a2,x372,x373)+P3(a2,f4(x371,x372,x373),x373) % 117.03/117.10 [38]~P6(x383)+~P3(x381,x384,x383)+~P3(x382,x385,x383)+~P3(a2,x384,x383)+~P3(a2,x382,x383)+P3(f4(x381,x382,x383),f4(x384,x385,x383),x383) % 117.03/117.10 %EqnAxiom % 117.03/117.10 [1]E(x11,x11) % 117.03/117.10 [2]E(x22,x21)+~E(x21,x22) % 117.03/117.10 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 117.03/117.10 [4]~E(x41,x42)+E(f6(x41),f6(x42)) % 117.03/117.10 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53)) % 117.03/117.10 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62)) % 117.03/117.10 [7]~E(x71,x72)+E(f9(x71),f9(x72)) % 117.03/117.10 [8]~E(x81,x82)+E(f4(x81,x83,x84),f4(x82,x83,x84)) % 117.03/117.10 [9]~E(x91,x92)+E(f4(x93,x91,x94),f4(x93,x92,x94)) % 117.03/117.10 [10]~E(x101,x102)+E(f4(x103,x104,x101),f4(x103,x104,x102)) % 117.03/117.10 [11]~E(x111,x112)+E(f7(x111),f7(x112)) % 117.03/117.10 [12]~E(x121,x122)+E(f11(x121),f11(x122)) % 117.03/117.10 [13]~P1(x131)+P1(x132)+~E(x131,x132) % 117.03/117.10 [14]P2(x142,x143,x144)+~E(x141,x142)+~P2(x141,x143,x144) % 117.03/117.10 [15]P2(x153,x152,x154)+~E(x151,x152)+~P2(x153,x151,x154) % 117.03/117.10 [16]P2(x163,x164,x162)+~E(x161,x162)+~P2(x163,x164,x161) % 117.03/117.10 [17]P3(x172,x173,x174)+~E(x171,x172)+~P3(x171,x173,x174) % 117.03/117.10 [18]P3(x183,x182,x184)+~E(x181,x182)+~P3(x183,x181,x184) % 117.03/117.10 [19]P3(x193,x194,x192)+~E(x191,x192)+~P3(x193,x194,x191) % 117.03/117.10 [20]~P7(x201)+P7(x202)+~E(x201,x202) % 117.03/117.10 [21]~P6(x211)+P6(x212)+~E(x211,x212) % 117.03/117.10 [22]~P5(x221)+P5(x222)+~E(x221,x222) % 117.03/117.10 [23]~P4(x231)+P4(x232)+~E(x231,x232) % 117.03/117.10 % 117.03/117.10 %------------------------------------------- % 117.06/117.12 cnf(54,plain, % 117.06/117.12 (P2(a2,x541,a1)+~E(a5,x541)), % 117.06/117.12 inference(scs_inference,[],[28,26,25,13,19,18,15])). % 117.06/117.12 cnf(87,plain, % 117.06/117.12 (P4(a1)), % 117.06/117.12 inference(scs_inference,[],[24,33,32])). % 117.06/117.12 cnf(93,plain, % 117.06/117.12 (P3(a2,f3(x931,a1),a1)), % 117.06/117.12 inference(scs_inference,[],[24,34,33])). % 117.06/117.12 cnf(108,plain, % 117.06/117.12 (P3(a2,x1081,a1)+~E(f3(x1082,a1),x1081)), % 117.06/117.12 inference(scs_inference,[],[93,18])). % 117.06/117.12 cnf(309,plain, % 117.06/117.12 (P3(a2,f4(f3(x3091,a1),f3(x3091,a1),a1),a1)), % 117.06/117.12 inference(scs_inference,[],[93,24,37,31])). % 117.06/117.12 cnf(323,plain, % 117.06/117.12 (P3(a2,x3231,a1)+~E(f4(f3(x3232,a1),f3(x3232,a1),a1),x3231)), % 117.06/117.12 inference(scs_inference,[],[309,18])). % 117.06/117.12 cnf(2581,plain, % 117.06/117.12 (E(f3(f4(x25811,x25812,a1),a1),f4(f3(x25811,a1),f3(x25812,a1),a1))), % 117.06/117.12 inference(scs_inference,[],[24,2,36])). % 117.06/117.12 cnf(2582,plain, % 117.06/117.12 (E(f4(f3(x25821,a1),f3(x25822,a1),a1),f3(f4(x25821,x25822,a1),a1))), % 117.06/117.12 inference(scs_inference,[],[2581,2])). % 117.06/117.12 cnf(2583,plain, % 117.06/117.12 (P3(a2,f4(f3(x25831,a1),f3(x25832,a1),a1),a1)), % 117.06/117.12 inference(scs_inference,[],[93,2581,2,18])). % 117.06/117.12 cnf(3710,plain, % 117.06/117.12 (P6(a1)), % 117.06/117.12 inference(scs_inference,[],[24,30])). % 117.06/117.12 cnf(3800,plain, % 117.06/117.12 (E(f6(f4(f3(x38001,a1),f3(x38002,a1),a1)),f6(f3(f4(x38001,x38002,a1),a1)))), % 117.06/117.12 inference(scs_inference,[],[2581,2,4])). % 117.06/117.12 cnf(3933,plain, % 117.06/117.12 (~E(x39331,a5)+P2(a2,x39331,a1)), % 117.06/117.12 inference(scs_inference,[],[54,2])). % 117.06/117.12 cnf(3935,plain, % 117.06/117.12 (P3(a2,x39351,a1)+~E(a5,x39351)), % 117.06/117.12 inference(scs_inference,[],[87,54,35])). % 117.06/117.12 cnf(3936,plain, % 117.06/117.12 (P3(a2,a5,a1)), % 117.06/117.12 inference(equality_inference,[],[3935])). % 117.06/117.12 cnf(3954,plain, % 117.06/117.12 (~P3(a5,x39541,a1)+P3(f4(a2,a5,a1),f4(a5,x39541,a1),a1)), % 117.06/117.12 inference(scs_inference,[],[3710,3936,38])). % 117.06/117.12 cnf(3960,plain, % 117.06/117.12 (P3(x39601,f4(a5,x39602,a1),a1)+~E(f4(a2,a5,a1),x39601)+~P3(a5,x39602,a1)), % 117.06/117.12 inference(scs_inference,[],[3954,17])). % 117.06/117.12 cnf(4240,plain, % 117.06/117.12 (E(f6(f6(f3(f4(x42401,x42402,a1),a1))),f6(f6(f4(f3(x42401,a1),f3(x42402,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[3800,4,2])). % 117.06/117.12 cnf(4295,plain, % 117.06/117.12 (E(f6(f3(x42951,f3(f4(x42952,x42953,a1),a1))),f6(f3(x42951,f4(f3(x42952,a1),f3(x42953,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[2581,4,6])). % 117.06/117.12 cnf(4331,plain, % 117.06/117.12 (E(f6(f3(f3(f4(x43311,x43312,a1),a1),x43313)),f6(f3(f4(f3(x43311,a1),f3(x43312,a1),a1),x43313)))), % 117.06/117.12 inference(scs_inference,[],[2581,4,5])). % 117.06/117.12 cnf(4355,plain, % 117.06/117.12 (E(f6(f6(f3(x43551,f4(f3(x43552,a1),f3(x43553,a1),a1)))),f6(f6(f3(x43551,f3(f4(x43552,x43553,a1),a1)))))), % 117.06/117.12 inference(scs_inference,[],[4295,4,2])). % 117.06/117.12 cnf(4372,plain, % 117.06/117.12 (E(f6(f3(f4(x43721,x43722,a1),a1)),f6(f4(f3(x43721,a1),f3(x43722,a1),a1)))), % 117.06/117.12 inference(scs_inference,[],[2582,4,2])). % 117.06/117.12 cnf(4530,plain, % 117.06/117.12 (E(f6(f3(x45301,f4(f3(x45302,a1),f3(x45303,a1),a1))),f6(f3(x45301,f3(f4(x45302,x45303,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[2582,4,6])). % 117.06/117.12 cnf(4651,plain, % 117.06/117.12 (E(f6(f6(f3(f4(f3(x46511,a1),f3(x46512,a1),a1),x46513))),f6(f6(f3(f3(f4(x46511,x46512,a1),a1),x46513))))), % 117.06/117.12 inference(scs_inference,[],[4331,4,2])). % 117.06/117.12 cnf(4652,plain, % 117.06/117.12 (E(f6(f3(f6(f3(f4(x46521,x46522,a1),a1)),x46523)),f6(f3(f6(f4(f3(x46521,a1),f3(x46522,a1),a1)),x46523)))), % 117.06/117.12 inference(scs_inference,[],[4372,4,5])). % 117.06/117.12 cnf(4668,plain, % 117.06/117.12 (E(f9(f6(f3(f4(x46681,x46682,a1),a1))),f9(f6(f4(f3(x46681,a1),f3(x46682,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[2581,7,4])). % 117.06/117.12 cnf(4701,plain, % 117.06/117.12 (E(f9(f4(f3(x47011,a1),f3(x47012,a1),a1)),f9(f3(f4(x47011,x47012,a1),a1)))), % 117.06/117.12 inference(scs_inference,[],[24,7,36])). % 117.06/117.12 cnf(4787,plain, % 117.06/117.12 (E(f9(f3(f3(f4(x47871,x47872,a1),a1),x47873)),f9(f3(f4(f3(x47871,a1),f3(x47872,a1),a1),x47873)))), % 117.06/117.12 inference(scs_inference,[],[2581,7,5])). % 117.06/117.12 cnf(4860,plain, % 117.06/117.12 (E(f9(f3(f4(x48601,x48602,a1),a1)),f9(f4(f3(x48601,a1),f3(x48602,a1),a1)))), % 117.06/117.12 inference(scs_inference,[],[2582,7,2])). % 117.06/117.12 cnf(4912,plain, % 117.06/117.12 (E(f9(f6(f4(f3(x49121,a1),f3(x49122,a1),a1))),f9(f6(f3(f4(x49121,x49122,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[2582,7,4])). % 117.06/117.12 cnf(4959,plain, % 117.06/117.12 (E(f9(f6(f3(f4(f3(x49591,a1),f3(x49592,a1),a1),x49593))),f9(f6(f3(f3(f4(x49591,x49592,a1),a1),x49593))))), % 117.06/117.12 inference(scs_inference,[],[4331,7,2])). % 117.06/117.12 cnf(4964,plain, % 117.06/117.12 (E(f4(x49641,f9(f9(f4(f3(x49642,a1),f3(x49643,a1),a1))),x49644),f4(x49641,f9(f9(f3(f4(x49642,x49643,a1),a1))),x49644))), % 117.06/117.12 inference(scs_inference,[],[4701,7,9])). % 117.06/117.12 cnf(4977,plain, % 117.06/117.12 (E(f7(f4(f3(x49771,a1),f3(x49772,a1),a1)),f7(f3(f4(x49771,x49772,a1),a1)))), % 117.06/117.12 inference(scs_inference,[],[24,11,36])). % 117.06/117.12 cnf(5064,plain, % 117.06/117.12 (E(f7(f6(f3(f4(x50641,x50642,a1),a1))),f7(f6(f4(f3(x50641,a1),f3(x50642,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[2581,11,4])). % 117.06/117.12 cnf(5093,plain, % 117.06/117.12 (E(f7(f7(f3(f4(x50931,x50932,a1),a1))),f7(f7(f4(f3(x50931,a1),f3(x50932,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[4977,11,2])). % 117.06/117.12 cnf(5160,plain, % 117.06/117.12 (E(f6(f7(f3(f4(x51601,x51602,a1),a1))),f6(f7(f4(f3(x51601,a1),f3(x51602,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[2581,11,4])). % 117.06/117.12 cnf(5211,plain, % 117.06/117.12 (E(f7(f3(f4(x52111,x52112,a1),a1)),f7(f4(f3(x52111,a1),f3(x52112,a1),a1)))), % 117.06/117.12 inference(scs_inference,[],[2582,11,2])). % 117.06/117.12 cnf(5268,plain, % 117.06/117.12 (E(f7(f3(f3(f4(x52681,x52682,a1),a1),x52683)),f7(f3(f4(f3(x52681,a1),f3(x52682,a1),a1),x52683)))), % 117.06/117.12 inference(scs_inference,[],[2581,11,5])). % 117.06/117.12 cnf(5329,plain, % 117.06/117.12 (E(f7(f6(f4(f3(x53291,a1),f3(x53292,a1),a1))),f7(f6(f3(f4(x53291,x53292,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[4372,11,2])). % 117.06/117.12 cnf(5365,plain, % 117.06/117.12 (E(f7(f3(f4(f3(x53651,a1),f3(x53652,a1),a1),x53653)),f7(f3(f3(f4(x53651,x53652,a1),a1),x53653)))), % 117.06/117.12 inference(scs_inference,[],[2582,11,5])). % 117.06/117.12 cnf(5454,plain, % 117.06/117.12 (E(f7(f3(f9(f4(f3(x54541,a1),f3(x54542,a1),a1)),x54543)),f7(f3(f9(f3(f4(x54541,x54542,a1),a1)),x54543)))), % 117.06/117.12 inference(scs_inference,[],[4701,11,5])). % 117.06/117.12 cnf(5456,plain, % 117.06/117.12 (E(f7(f4(f9(f3(f4(x54561,x54562,a1),a1)),x54563,x54564)),f7(f4(f9(f4(f3(x54561,a1),f3(x54562,a1),a1)),x54563,x54564)))), % 117.06/117.12 inference(scs_inference,[],[4860,11,8])). % 117.06/117.12 cnf(5458,plain, % 117.06/117.12 (E(f7(f4(x54581,f7(f4(f3(x54582,a1),f3(x54583,a1),a1)),x54584)),f7(f4(x54581,f7(f3(f4(x54582,x54583,a1),a1)),x54584)))), % 117.06/117.12 inference(scs_inference,[],[4977,11,9])). % 117.06/117.12 cnf(5507,plain, % 117.06/117.12 (E(f4(f7(f7(f4(f3(x55071,a1),f3(x55072,a1),a1))),x55073,x55074),f4(f7(f7(f3(f4(x55071,x55072,a1),a1))),x55073,x55074))), % 117.06/117.12 inference(scs_inference,[],[4977,11,8])). % 117.06/117.12 cnf(5528,plain, % 117.06/117.12 (E(f7(f3(x55281,f3(f4(x55282,x55283,a1),a1))),f7(f3(x55281,f4(f3(x55282,a1),f3(x55283,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[2581,11,6])). % 117.06/117.12 cnf(5712,plain, % 117.06/117.12 (E(f4(x57121,x57122,f7(f7(f3(f4(x57123,x57124,a1),a1)))),f4(x57121,x57122,f7(f7(f4(f3(x57123,a1),f3(x57124,a1),a1)))))), % 117.06/117.12 inference(scs_inference,[],[5211,11,10])). % 117.06/117.12 cnf(5737,plain, % 117.06/117.12 (E(f11(f6(f3(f4(x57371,x57372,a1),a1))),f11(f6(f4(f3(x57371,a1),f3(x57372,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[3800,12,2])). % 117.06/117.12 cnf(5786,plain, % 117.06/117.12 (E(f11(f4(f3(x57861,a1),f3(x57862,a1),a1)),f11(f3(f4(x57861,x57862,a1),a1)))), % 117.06/117.12 inference(scs_inference,[],[2581,12,2])). % 117.06/117.12 cnf(5871,plain, % 117.06/117.12 (E(f11(f11(f3(f4(x58711,x58712,a1),a1))),f11(f11(f4(f3(x58711,a1),f3(x58712,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[5786,12,2])). % 117.06/117.12 cnf(5946,plain, % 117.06/117.12 (E(f11(f3(f3(f4(x59461,x59462,a1),a1),x59463)),f11(f3(f4(f3(x59461,a1),f3(x59462,a1),a1),x59463)))), % 117.06/117.12 inference(scs_inference,[],[2581,12,5])). % 117.06/117.12 cnf(6006,plain, % 117.06/117.12 (E(f6(f11(f3(f4(x60061,x60062,a1),a1))),f6(f11(f4(f3(x60061,a1),f3(x60062,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[2581,12,4])). % 117.06/117.12 cnf(6083,plain, % 117.06/117.12 (E(f4(f11(f9(f4(f3(x60831,a1),f3(x60832,a1),a1))),x60833,x60834),f4(f11(f9(f3(f4(x60831,x60832,a1),a1))),x60833,x60834))), % 117.06/117.12 inference(scs_inference,[],[4701,12,8])). % 117.06/117.12 cnf(6087,plain, % 117.06/117.12 (E(f11(f7(f3(f4(x60871,x60872,a1),a1))),f11(f7(f4(f3(x60871,a1),f3(x60872,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[4977,12,2])). % 117.06/117.12 cnf(6161,plain, % 117.06/117.12 (P7(a1)), % 117.06/117.12 inference(scs_inference,[],[24,4964,4,7,11,12,6,9,10,8,5,2,31])). % 117.06/117.12 cnf(6168,plain, % 117.06/117.12 (~P3(f3(f4(f6(a8),f7(a8),a1),a1),f4(f4(a5,f3(f9(a8),a1),a1),f4(a10,f3(f11(a8),a1),a1),a1),a1)), % 117.06/117.12 inference(scs_inference,[],[24,4964,5456,5458,29,2582,28,4,7,11,12,6,9,10,8,5,2,31,3,17,18])). % 117.06/117.12 cnf(6169,plain, % 117.06/117.12 (P3(a2,f4(a5,a5,a1),a1)), % 117.06/117.12 inference(scs_inference,[],[24,4964,5456,5458,29,3936,2582,28,4,7,11,12,6,9,10,8,5,2,31,3,17,18,37])). % 117.06/117.12 cnf(6203,plain, % 117.06/117.12 (~P3(a2,f4(a5,f3(f9(a8),a1),a1),a1)), % 117.06/117.12 inference(scs_inference,[],[6161,6169,6168,5507,4355,4651,6087,93,3710,27,2582,26,11,9,6,7,4,10,12,8,5,2,3,17,37,38])). % 117.06/117.12 cnf(6208,plain, % 117.06/117.12 (~P2(a2,f4(a5,f3(f9(a8),a1),a1),a1)), % 117.06/117.12 inference(scs_inference,[],[6161,6169,6168,5507,4355,4651,6087,87,93,3710,27,2582,26,11,9,6,7,4,10,12,8,5,2,3,17,37,38,3960,35])). % 117.06/117.12 cnf(6228,plain, % 117.06/117.12 (~E(f3(f6(a8),a1),a2)), % 117.06/117.12 inference(scs_inference,[],[6203,5712,4959,6006,4912,26,6,11,9,4,10,8,7,12,5,2,3,17])). % 117.06/117.12 cnf(6239,plain, % 117.06/117.12 (E(f4(x62391,x62392,f11(f3(f3(f4(x62393,x62394,a1),a1),x62395))),f4(x62391,x62392,f11(f3(f4(f3(x62393,a1),f3(x62394,a1),a1),x62395))))), % 117.06/117.12 inference(scs_inference,[],[5946,9,6,11,10])). % 117.06/117.12 cnf(6246,plain, % 117.06/117.12 (E(f7(f3(f9(f4(f3(x62461,a1),f3(x62462,a1),a1)),f3(f4(x62463,x62464,a1),a1))),f7(f3(f9(f3(f4(x62461,x62462,a1),a1)),f4(f3(x62463,a1),f3(x62464,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[6083,5454,5946,5528,9,6,11,10,8,12,4,7,5,2,3])). % 117.06/117.12 cnf(6264,plain, % 117.06/117.12 (E(f7(f3(f9(f3(f4(x62641,x62642,a1),a1)),f4(f3(x62643,a1),f3(x62644,a1),a1))),f7(f3(f9(f4(f3(x62641,a1),f3(x62642,a1),a1)),f3(f4(x62643,x62644,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[6246,5737,5871,11,9,6,8,12,10,7,4,5,2])). % 117.06/117.12 cnf(6305,plain, % 117.06/117.12 (E(f6(f3(f6(f3(f4(x63051,x63052,a1),a1)),f4(f3(x63053,a1),f3(x63054,a1),a1))),f6(f3(f6(f4(f3(x63051,a1),f3(x63052,a1),a1)),f3(f4(x63053,x63054,a1),a1))))), % 117.06/117.12 inference(scs_inference,[],[6239,4652,5528,5160,4530,9,6,11,10,4,12,7,8,5,2,3])). % 117.06/117.12 cnf(6308,plain, % 117.06/117.12 (P3(a2,f4(f4(f3(x63081,a1),f3(x63082,a1),a1),f4(f3(x63081,a1),f3(x63082,a1),a1),a1),a1)), % 117.06/117.13 inference(scs_inference,[],[6239,4652,6161,5528,5160,4530,2583,9,6,11,10,4,12,7,8,5,2,3,37])). % 117.06/117.13 cnf(6326,plain, % 117.06/117.13 (P3(a2,f4(f4(f4(f3(x63261,a1),f3(x63262,a1),a1),f4(f3(x63261,a1),f3(x63262,a1),a1),a1),f4(f4(f3(x63261,a1),f3(x63262,a1),a1),f4(f3(x63261,a1),f3(x63262,a1),a1),a1),a1),a1)), % 117.06/117.13 inference(scs_inference,[],[6308,6264,6305,5454,6161,5329,11,9,6,4,12,10,8,7,5,2,3,37])). % 117.06/117.13 cnf(6385,plain, % 117.06/117.13 (E(f3(x63851,f9(f3(f4(x63852,x63853,a1),a1))),f3(x63851,f9(f4(f3(x63852,a1),f3(x63853,a1),a1))))), % 117.06/117.13 inference(scs_inference,[],[4860,6])). % 117.06/117.13 cnf(6386,plain, % 117.06/117.13 (E(f7(f9(f3(f4(x63861,x63862,a1),a1))),f7(f9(f4(f3(x63861,a1),f3(x63862,a1),a1))))), % 117.06/117.13 inference(scs_inference,[],[4860,6,11])). % 117.06/117.13 cnf(6387,plain, % 117.06/117.13 (E(f4(x63871,f9(f3(f4(x63872,x63873,a1),a1)),x63874),f4(x63871,f9(f4(f3(x63872,a1),f3(x63873,a1),a1)),x63874))), % 117.06/117.13 inference(scs_inference,[],[4860,6,11,9])). % 117.06/117.13 cnf(6389,plain, % 117.06/117.13 (E(f9(f9(f3(f4(x63891,x63892,a1),a1))),f9(f9(f4(f3(x63891,a1),f3(x63892,a1),a1))))), % 117.06/117.13 inference(scs_inference,[],[4860,6,11,9,10,7])). % 117.06/117.13 cnf(6390,plain, % 117.06/117.13 (E(f11(f9(f3(f4(x63901,x63902,a1),a1))),f11(f9(f4(f3(x63901,a1),f3(x63902,a1),a1))))), % 117.06/117.13 inference(scs_inference,[],[4860,6,11,9,10,7,12])). % 117.06/117.13 cnf(6391,plain, % 117.06/117.13 (E(f3(f9(f3(f4(x63911,x63912,a1),a1)),x63913),f3(f9(f4(f3(x63911,a1),f3(x63912,a1),a1)),x63913))), % 117.06/117.13 inference(scs_inference,[],[4860,6,11,9,10,7,12,5])). % 117.06/117.13 cnf(6393,plain, % 117.06/117.13 (E(f4(f9(f3(f4(x63931,x63932,a1),a1)),x63933,x63934),f4(f9(f4(f3(x63931,a1),f3(x63932,a1),a1)),x63933,x63934))), % 117.06/117.13 inference(scs_inference,[],[4860,6,11,9,10,7,12,5,4,8])). % 117.06/117.13 cnf(6408,plain, % 117.06/117.13 (E(f4(x64081,x64082,f4(x64083,f9(f3(f4(x64084,x64085,a1),a1)),x64086)),f4(x64081,x64082,f4(x64083,f9(f4(f3(x64084,a1),f3(x64085,a1),a1)),x64086)))), % 117.06/117.13 inference(scs_inference,[],[6387,6,11,9,12,10])). % 117.06/117.13 cnf(6413,plain, % 117.06/117.13 (E(f4(x64131,f9(f4(f3(x64132,a1),f3(x64133,a1),a1)),x64134),f4(x64131,f9(f3(f4(x64132,x64133,a1),a1)),x64134))), % 117.06/117.13 inference(scs_inference,[],[6387,6,11,9,12,10,7,8,5,4,2])). % 117.06/117.13 cnf(6432,plain, % 117.06/117.13 (E(f4(f9(f4(f3(x64321,a1),f3(x64322,a1),a1)),x64323,x64324),f4(f9(f3(f4(x64321,x64322,a1),a1)),x64323,x64324))), % 117.06/117.13 inference(scs_inference,[],[6393,6413,6,11,9,7,12,4,10,8,5,2])). % 117.06/117.13 cnf(6453,plain, % 117.06/117.13 (E(f3(x64531,f9(f4(f3(x64532,a1),f3(x64533,a1),a1))),f3(x64531,f9(f3(f4(x64532,x64533,a1),a1))))), % 117.06/117.13 inference(scs_inference,[],[6432,6385,6,11,9,4,7,12,5,10,8,2])). % 117.06/117.13 cnf(6470,plain, % 117.06/117.13 (E(f7(f9(f4(f3(x64701,a1),f3(x64702,a1),a1))),f7(f9(f3(f4(x64701,x64702,a1),a1))))), % 117.06/117.13 inference(scs_inference,[],[6453,6386,6,11,9,12,4,8,7,5,2])). % 117.06/117.13 cnf(6488,plain, % 117.06/117.13 (E(f9(f9(f4(f3(x64881,a1),f3(x64882,a1),a1))),f9(f9(f3(f4(x64881,x64882,a1),a1))))), % 117.06/117.13 inference(scs_inference,[],[6389,6390,6,11,9,8,4,10,12,7,5,2])). % 117.06/117.13 cnf(6560,plain, % 117.06/117.13 (E(f3(f7(f9(f3(f4(x65601,x65602,a1),a1))),x65603),f3(f7(f9(f4(f3(x65601,a1),f3(x65602,a1),a1))),x65603))), % 117.06/117.13 inference(scs_inference,[],[6386,6470,6,11,9,8,10,4,12,7,5])). % 117.06/117.13 cnf(6581,plain, % 117.06/117.13 (~E(f4(f4(f4(f3(x65811,a1),f3(x65812,a1),a1),f4(f3(x65811,a1),f3(x65812,a1),a1),a1),f4(f4(f3(x65811,a1),f3(x65812,a1),a1),f4(f3(x65811,a1),f3(x65812,a1),a1),a1),a1),f4(a5,f3(f9(a8),a1),a1))), % 117.06/117.13 inference(scs_inference,[],[6326,6408,6560,6488,6391,6385,6203,6,9,11,10,4,12,7,8,2,5,3,18])). % 117.06/117.13 cnf(6789,plain, % 117.06/117.13 (E(f4(x67891,f9(f3(f3(f4(x67892,x67893,a1),a1),x67894)),x67895),f4(x67891,f9(f3(f4(f3(x67892,a1),f3(x67893,a1),a1),x67894)),x67895))), % 117.06/117.13 inference(scs_inference,[],[4240,4787,6,9])). % 117.06/117.13 cnf(6812,plain, % 117.06/117.13 (E(f4(x68121,x68122,f11(f4(f3(x68123,a1),f3(x68124,a1),a1))),f4(x68121,x68122,f11(f3(f4(x68123,x68124,a1),a1))))), % 117.06/117.13 inference(scs_inference,[],[6789,4701,5786,4787,4331,6,11,4,9,7,2,5,10])). % 117.06/117.13 cnf(6958,plain, % 117.06/117.13 (E(f3(x69581,f4(x69582,x69583,f11(f4(f3(x69584,a1),f3(x69585,a1),a1)))),f3(x69581,f4(x69582,x69583,f11(f3(f4(x69584,x69585,a1),a1)))))), % 117.06/117.13 inference(scs_inference,[],[6812,6])). % 117.06/117.13 cnf(6959,plain, % 117.06/117.13 (E(f4(x69591,f4(x69592,x69593,f11(f4(f3(x69594,a1),f3(x69595,a1),a1))),x69596),f4(x69591,f4(x69592,x69593,f11(f3(f4(x69594,x69595,a1),a1))),x69596))), % 117.06/117.13 inference(scs_inference,[],[6812,6,9])). % 117.06/117.13 cnf(6982,plain, % 117.06/117.13 (E(f4(x69821,x69822,f6(f3(f3(f4(x69823,x69824,a1),a1),x69825))),f4(x69821,x69822,f6(f3(f4(f3(x69823,a1),f3(x69824,a1),a1),x69825))))), % 117.06/117.13 inference(scs_inference,[],[6959,4668,5093,5064,4331,9,6,4,7,2,5,10])). % 117.06/117.13 cnf(7050,plain, % 117.06/117.13 (E(f4(x70501,x70502,f6(f3(f4(x70503,x70504,a1),a1))),f4(x70501,x70502,f6(f4(f3(x70503,a1),f3(x70504,a1),a1))))), % 117.06/117.13 inference(scs_inference,[],[6958,5064,4787,4331,4295,4372,5211,6,4,2,9,7,5,8,10])). % 117.06/117.13 cnf(7096,plain, % 117.06/117.13 (E(f4(x70961,f4(x70962,x70963,f6(f3(f4(x70964,x70965,a1),a1))),x70966),f4(x70961,f4(x70962,x70963,f6(f4(f3(x70964,a1),f3(x70965,a1),a1))),x70966))), % 117.06/117.13 inference(scs_inference,[],[7050,4,6,9])). % 117.06/117.13 cnf(7101,plain, % 117.06/117.13 (E(f4(f4(x71011,x71012,f6(f3(f4(x71013,x71014,a1),a1))),x71015,x71016),f4(f4(x71011,x71012,f6(f4(f3(x71013,a1),f3(x71014,a1),a1))),x71015,x71016))), % 117.06/117.13 inference(scs_inference,[],[6982,7050,4,6,9,7,2,5,10,8])). % 117.06/117.13 cnf(7116,plain, % 117.06/117.13 (E(f3(f11(f4(f3(x71161,a1),f3(x71162,a1),a1)),x71163),f3(f11(f3(f4(x71161,x71162,a1),a1)),x71163))), % 117.06/117.13 inference(scs_inference,[],[7096,5786,4331,4372,5268,4,6,9,7,2,5])). % 117.06/117.13 cnf(7167,plain, % 117.06/117.13 (E(f4(f3(f11(f4(f3(x71671,a1),f3(x71672,a1),a1)),x71673),x71674,x71675),f4(f3(f11(f3(f4(x71671,x71672,a1),a1)),x71673),x71674,x71675))), % 117.06/117.13 inference(scs_inference,[],[7101,7116,4,6,9,2,7,10,5,8])). % 117.06/117.13 cnf(7283,plain, % 117.06/117.13 (E(f4(f4(f3(x72831,a1),f3(x72832,a1),a1),x72833,x72834),f4(f3(f4(x72831,x72832,a1),a1),x72833,x72834))), % 117.06/117.13 inference(scs_inference,[],[7167,5093,4372,5268,5365,3800,2582,4,9,6,2,7,10,5,12,8])). % 117.06/117.13 cnf(7297,plain, % 117.06/117.13 (E(f4(x72971,f4(f4(f3(x72972,a1),f3(x72973,a1),a1),x72974,x72975),x72976),f4(x72971,f4(f3(f4(x72972,x72973,a1),a1),x72974,x72975),x72976))), % 117.06/117.13 inference(scs_inference,[],[7283,11,4,9])). % 117.06/117.13 cnf(7775,plain, % 117.06/117.13 ($false), % 117.06/117.13 inference(scs_inference,[],[2583,3936,93,6203,6161,7297,6208,6228,6581,2,323,3933,108,3,18,37]), % 117.06/117.13 ['proof']). % 117.06/117.13 % SZS output end Proof % 117.06/117.13 % Total time :116.440000s %------------------------------------------------------------------------------