%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW295+1 : TPTP v8.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n024.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 18:06:44 EDT 2024 % Result : Theorem 153.71s 153.53s % Output : CNFRefutation 153.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWW295+1 : TPTP v8.2.0. Released v5.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n024.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 : Wed Jun 19 09:28:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.20/0.56 start to proof:theBenchmark % 153.33/153.37 %------------------------------------------- % 153.33/153.37 % File :CSE---1.7 % 153.33/153.37 % Problem :theBenchmark % 153.33/153.37 % Transform :cnf % 153.33/153.37 % Format :tptp:raw % 153.33/153.37 % Command :java -jar mcs_scs.jar %d %s % 153.33/153.37 % 153.33/153.37 % Result :Theorem 139.160000s % 153.33/153.37 % Output :CNFRefutation 139.160000s % 153.33/153.37 %------------------------------------------- % 153.33/153.38 %------------------------------------------------------------------------------ % 153.33/153.38 % File : SWW295+1 : TPTP v8.2.0. Released v5.2.0. % 153.33/153.38 % Domain : Software Verification % 153.33/153.38 % Problem : Hoare's Logic with Procedures 434731, 5000 axioms selected % 153.33/153.38 % Version : Especial. % 153.33/153.38 % English : % 153.33/153.38 % 153.33/153.38 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 153.33/153.38 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 153.33/153.38 % Source : [Bla11] % 153.33/153.38 % Names : hoare_434731.5000.p [Bla11] % 153.33/153.38 % 153.33/153.38 % Status : ContradictoryAxioms % 153.33/153.38 % Rating : 0.61 v7.5.0, 0.62 v7.4.0, 0.73 v7.3.0, 0.69 v7.1.0, 0.70 v7.0.0, 0.80 v6.4.0, 0.73 v6.3.0, 0.75 v6.2.0, 0.84 v6.1.0, 0.87 v6.0.0, 0.78 v5.4.0, 0.82 v5.3.0, 0.85 v5.2.0 % 153.33/153.38 % Syntax : Number of formulae : 5205 (1707 unt; 0 def) % 153.33/153.38 % Number of atoms : 12589 (4565 equ) % 153.33/153.38 % Maximal formula atoms : 13 ( 2 avg) % 153.33/153.38 % Number of connectives : 8480 (1096 ~; 158 |; 709 &) % 153.33/153.38 % ( 878 <=>;5639 =>; 0 <=; 0 <~>) % 153.33/153.38 % Maximal formula depth : 22 ( 6 avg) % 153.33/153.38 % Maximal term depth : 19 ( 2 avg) % 153.33/153.38 % Number of predicates : 140 ( 139 usr; 1 prp; 0-7 aty) % 153.33/153.38 % Number of functors : 379 ( 379 usr; 51 con; 0-10 aty) % 153.33/153.38 % Number of variables : 16699 (16568 !; 131 ?) % 153.33/153.38 % SPC : FOF_CAX_RFO_SEQ % 153.33/153.38 % 153.33/153.38 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 153.33/153.38 % 2011-03-01 11:26:14 % 153.33/153.38 %------------------------------------------------------------------------------ % 153.33/153.38 %----Relevant facts (4983) % 153.33/153.38 fof(fact_ext,axiom, % 153.33/153.38 ! [V_g_2,V_f_2] : % 153.33/153.38 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 153.33/153.38 => V_f_2 = V_g_2 ) ). % 153.33/153.38 % 153.33/153.38 fof(fact_evaln_OBody,axiom, % 153.33/153.38 ! [V_s1,V_n,V_s0,V_pn] : % 153.33/153.38 ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_n,V_s1) % 153.33/153.38 => c_Natural_Oevaln(c_Com_Ocom_OBODY(V_pn),V_s0,hAPP(c_Nat_OSuc,V_n),V_s1) ) ). % 153.33/153.38 % 153.33/153.38 fof(fact_evaln_Oequations_I9_J,axiom, % 153.33/153.38 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] : % 153.33/153.38 ( c_Natural_Oevaln(c_Com_Ocom_OBODY(V_a1_2),V_a2_2,hAPP(c_Nat_OSuc,V_a3_2),V_a4_2) % 153.33/153.38 <=> c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2)),V_a2_2,V_a3_2,V_a4_2) ) ). % 153.33/153.38 % 153.33/153.38 fof(fact_evaln__Suc,axiom, % 153.33/153.38 ! [V_s_H,V_n,V_s,V_c] : % 153.33/153.38 ( c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) % 153.33/153.38 => c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ) ). % 153.33/153.38 % 153.33/153.38 fof(fact_evaln__elim__cases_I6_J,axiom, % 153.33/153.38 ! [V_s1,V_n,V_s,V_P] : % 153.33/153.38 ( c_Natural_Oevaln(c_Com_Ocom_OBODY(V_P),V_s,V_n,V_s1) % 153.33/153.38 => ~ ! [B_n] : % 153.33/153.38 ( V_n = hAPP(c_Nat_OSuc,B_n) % 153.33/153.38 => ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,B_n,V_s1) ) ) ). % 153.33/153.38 % 153.33/153.38 fof(fact_com_Osimps_I6_J,axiom, % 153.33/153.38 ! [V_pname_H_2,V_pname_2] : % 153.33/153.38 ( c_Com_Ocom_OBODY(V_pname_2) = c_Com_Ocom_OBODY(V_pname_H_2) % 153.33/153.38 <=> V_pname_2 = V_pname_H_2 ) ). % 153.33/153.38 % 153.33/153.38 fof(fact_n__not__Suc__n,axiom, % 153.33/153.38 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 153.33/153.38 % 153.33/153.38 fof(fact_Suc__n__not__n,axiom, % 153.33/153.38 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 153.33/153.38 % 153.33/153.38 fof(fact_nat_Oinject,axiom, % 153.33/153.38 ! [V_nat_H_2,V_nat_2] : % 153.33/153.38 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 153.33/153.38 <=> V_nat_2 = V_nat_H_2 ) ). % 153.33/153.38 % 153.33/153.38 fof(fact_Suc__inject,axiom, % 153.33/153.38 ! [V_y,V_x] : % 153.33/153.38 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 153.33/153.38 => V_x = V_y ) ). % 153.33/153.38 % 153.33/153.38 fof(fact_evalc__elim__cases_I6_J,axiom, % 153.33/153.38 ! [V_s1,V_s,V_P] : % 153.33/153.38 ( c_Natural_Oevalc(c_Com_Ocom_OBODY(V_P),V_s,V_s1) % 153.33/153.38 => c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,V_s1) ) ). % 153.33/153.38 % 153.33/153.38 fof(fact_evalc_OBody,axiom, % 153.33/153.38 ! [V_s1,V_s0,V_pn] : % 153.33/153.39 ( c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_s1) % 153.33/153.39 => c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_com__det,axiom, % 153.33/153.39 ! [V_u,V_t,V_s,V_c] : % 153.33/153.39 ( c_Natural_Oevalc(V_c,V_s,V_t) % 153.33/153.39 => ( c_Natural_Oevalc(V_c,V_s,V_u) % 153.33/153.39 => V_u = V_t ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evaln__evalc,axiom, % 153.33/153.39 ! [V_t,V_n,V_s,V_c] : % 153.33/153.39 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t) % 153.33/153.39 => c_Natural_Oevalc(V_c,V_s,V_t) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_eval__eq,axiom, % 153.33/153.39 ! [V_t_2,V_s_2,V_c_2] : % 153.33/153.39 ( c_Natural_Oevalc(V_c_2,V_s_2,V_t_2) % 153.33/153.39 <=> ? [B_n] : c_Natural_Oevaln(V_c_2,V_s_2,B_n,V_t_2) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evalc_Oequations_I9_J,axiom, % 153.33/153.39 ! [V_a3_2,V_a2_2,V_a1_2] : % 153.33/153.39 ( c_Natural_Oevalc(c_Com_Ocom_OBODY(V_a1_2),V_a2_2,V_a3_2) % 153.33/153.39 <=> c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2)),V_a2_2,V_a3_2) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 153.33/153.39 ! [V_i_2,V_na_2,V_inc_2,T_b] : % 153.33/153.39 ( class_Rings_Osemiring__1(T_b) % 153.33/153.39 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_na_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_na_2,hAPP(V_inc_2,V_i_2)) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evalc__evaln,axiom, % 153.33/153.39 ! [V_t,V_s,V_c] : % 153.33/153.39 ( c_Natural_Oevalc(V_c,V_s,V_t) % 153.33/153.39 => ? [B_n] : c_Natural_Oevaln(V_c,V_s,B_n,V_t) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_nat__case__Suc,axiom, % 153.33/153.39 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Osimps_I70_J,axiom, % 153.33/153.39 ! [V_pname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OBODY(V_pname_2)) = hAPP(V_f7_2,V_pname_2) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evalc_OSkip,axiom, % 153.33/153.39 ! [V_s] : c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evalc__elim__cases_I1_J,axiom, % 153.33/153.39 ! [V_t,V_s] : % 153.33/153.39 ( c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_t) % 153.33/153.39 => V_t = V_s ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evaln__elim__cases_I1_J,axiom, % 153.33/153.39 ! [V_t,V_n,V_s] : % 153.33/153.39 ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) % 153.33/153.39 => V_t = V_s ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evaln_OSkip,axiom, % 153.33/153.39 ! [V_n,V_s] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ). % 153.33/153.39 % 153.33/153.39 fof(fact_nat__rec__Suc,axiom, % 153.33/153.39 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evalc_OSemi,axiom, % 153.33/153.39 ! [V_s2,V_c1,V_s1,V_s0,V_c0] : % 153.33/153.39 ( c_Natural_Oevalc(V_c0,V_s0,V_s1) % 153.33/153.39 => ( c_Natural_Oevalc(V_c1,V_s1,V_s2) % 153.33/153.39 => c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_s2) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evaln_OSemi,axiom, % 153.33/153.39 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] : % 153.33/153.39 ( c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1) % 153.33/153.39 => ( c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2) % 153.33/153.39 => c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Orecs_I7_J,axiom, % 153.33/153.39 ! [V_pname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OBODY(V_pname_2)) = hAPP(V_f7_2,V_pname_2) ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Osimps_I12_J,axiom, % 153.33/153.39 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Osimps_I13_J,axiom, % 153.33/153.39 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Osimps_I3_J,axiom, % 153.33/153.39 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] : % 153.33/153.39 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) % 153.33/153.39 <=> ( V_com1_2 = V_com1_H_2 % 153.33/153.39 & V_com2_2 = V_com2_H_2 ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Orecs_I1_J,axiom, % 153.33/153.39 ! [V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSKIP) = V_f1_2 ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Osimps_I64_J,axiom, % 153.33/153.39 ! [V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSKIP) = V_f1_2 ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Osimps_I67_J,axiom, % 153.33/153.39 ! [V_com2_2,V_com1_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSemi(V_com1_2,V_com2_2)) = hAPP(hAPP(V_f4_2,V_com1_2),V_com2_2) ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Orecs_I4_J,axiom, % 153.33/153.39 ! [V_com2_2,V_com1_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSemi(V_com1_2,V_com2_2)) = hAPP(hAPP(hAPP(hAPP(V_f4_2,V_com1_2),V_com2_2),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com1_2)),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com2_2)) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evaln_Oequations_I4_J,axiom, % 153.33/153.39 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] : % 153.33/153.39 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_a1_2,V_a5_2),V_a2_2,V_a3_2,V_a6_2) % 153.33/153.39 <=> ? [B_s1] : % 153.33/153.39 ( c_Natural_Oevaln(V_a1_2,V_a2_2,V_a3_2,B_s1) % 153.33/153.39 & c_Natural_Oevaln(V_a5_2,B_s1,V_a3_2,V_a6_2) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evalc_Oequations_I4_J,axiom, % 153.33/153.39 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] : % 153.33/153.39 ( c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2),V_a2_2,V_a5_2) % 153.33/153.39 <=> ? [B_s1] : % 153.33/153.39 ( c_Natural_Oevalc(V_a1_2,V_a2_2,B_s1) % 153.33/153.39 & c_Natural_Oevalc(V_a4_2,B_s1,V_a5_2) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Osimps_I49_J,axiom, % 153.33/153.39 ! [V_com2,V_com1,V_pname_H] : c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Osimps_I48_J,axiom, % 153.33/153.39 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OBODY(V_pname_H) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evaln_Oequations_I1_J,axiom, % 153.33/153.39 ! [V_a2,V_a1] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_a1,V_a2,V_a1) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evalc_Oequations_I1_J,axiom, % 153.33/153.39 ! [V_a] : c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_a,V_a) ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Osimps_I18_J,axiom, % 153.33/153.39 ! [V_pname_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(V_pname_H) ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Osimps_I19_J,axiom, % 153.33/153.39 ! [V_pname_H] : c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSKIP ). % 153.33/153.39 % 153.33/153.39 fof(fact_evalc__elim__cases_I4_J,axiom, % 153.33/153.39 ! [V_t,V_s,V_c2,V_c1] : % 153.33/153.39 ( c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_t) % 153.33/153.39 => ~ ! [B_s1] : % 153.33/153.39 ( c_Natural_Oevalc(V_c1,V_s,B_s1) % 153.33/153.39 => ~ c_Natural_Oevalc(V_c2,B_s1,V_t) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evaln__elim__cases_I4_J,axiom, % 153.33/153.39 ! [V_t,V_n,V_s,V_c2,V_c1] : % 153.33/153.39 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t) % 153.33/153.39 => ~ ! [B_s1] : % 153.33/153.39 ( c_Natural_Oevaln(V_c1,V_s,V_n,B_s1) % 153.33/153.39 => ~ c_Natural_Oevaln(V_c2,B_s1,V_n,V_t) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_def__nat__rec__Suc,axiom, % 153.33/153.39 ! [V_na_2,V_h_2,V_c_2,T_b,V_f_2] : % 153.33/153.39 ( ! [B_n] : hAPP(V_f_2,B_n) = hAPP(c_Nat_Onat_Onat__rec(T_b,V_c_2,V_h_2),B_n) % 153.33/153.39 => hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(V_h_2,V_na_2),hAPP(V_f_2,V_na_2)) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 153.33/153.39 ! [V_i_2,V_inc_2,T_b] : % 153.33/153.39 ( class_Rings_Osemiring__1(T_b) % 153.33/153.39 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evalc__elim__cases_I5_J,axiom, % 153.33/153.39 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 153.33/153.39 ( c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2),V_s_2,V_t_2) % 153.33/153.39 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 153.33/153.39 => ~ c_Natural_Oevalc(V_c1_2,V_s_2,V_t_2) ) % 153.33/153.39 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 153.33/153.39 => ~ c_Natural_Oevalc(V_c2_2,V_s_2,V_t_2) ) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evalc_OIfTrue,axiom, % 153.33/153.39 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] : % 153.33/153.39 ( hBOOL(hAPP(V_b_2,V_s_2)) % 153.33/153.39 => ( c_Natural_Oevalc(V_c0_2,V_s_2,V_s1_2) % 153.33/153.39 => c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2),V_s_2,V_s1_2) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evalc_OIfFalse,axiom, % 153.33/153.39 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] : % 153.33/153.39 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 153.33/153.39 => ( c_Natural_Oevalc(V_c1_2,V_s_2,V_s1_2) % 153.33/153.39 => c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2),V_s_2,V_s1_2) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evaln_OIfFalse,axiom, % 153.33/153.39 ! [V_c0_2,V_s1_2,V_na_2,V_c1_2,V_s_2,V_b_2] : % 153.33/153.39 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 153.33/153.39 => ( c_Natural_Oevaln(V_c1_2,V_s_2,V_na_2,V_s1_2) % 153.33/153.39 => c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2),V_s_2,V_na_2,V_s1_2) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evaln_OIfTrue,axiom, % 153.33/153.39 ! [V_c1_2,V_s1_2,V_na_2,V_c0_2,V_s_2,V_b_2] : % 153.33/153.39 ( hBOOL(hAPP(V_b_2,V_s_2)) % 153.33/153.39 => ( c_Natural_Oevaln(V_c0_2,V_s_2,V_na_2,V_s1_2) % 153.33/153.39 => c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2),V_s_2,V_na_2,V_s1_2) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_evaln__elim__cases_I5_J,axiom, % 153.33/153.39 ! [V_t_2,V_na_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 153.33/153.39 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2),V_s_2,V_na_2,V_t_2) % 153.33/153.39 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 153.33/153.39 => ~ c_Natural_Oevaln(V_c1_2,V_s_2,V_na_2,V_t_2) ) % 153.33/153.39 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 153.33/153.39 => ~ c_Natural_Oevaln(V_c2_2,V_s_2,V_na_2,V_t_2) ) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Osimps_I68_J,axiom, % 153.33/153.39 ! [V_com2_2,V_com1_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(hAPP(V_f5_2,V_fun_2),V_com1_2),V_com2_2) ). % 153.33/153.39 % 153.33/153.39 fof(fact_WTs__elim__cases_I5_J,axiom, % 153.33/153.39 ! [V_c2_2,V_c1_2,V_b_2] : % 153.33/153.39 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2))) % 153.33/153.39 => ~ ( hBOOL(hAPP(c_Com_OWT,V_c1_2)) % 153.33/153.39 => ~ hBOOL(hAPP(c_Com_OWT,V_c2_2)) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_WTs__elim__cases_I4_J,axiom, % 153.33/153.39 ! [V_c2,V_c1] : % 153.33/153.39 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_c1,V_c2))) % 153.33/153.39 => ~ ( hBOOL(hAPP(c_Com_OWT,V_c1)) % 153.33/153.39 => ~ hBOOL(hAPP(c_Com_OWT,V_c2)) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_WT_OIf,axiom, % 153.33/153.39 ! [V_b_2,V_c1_2,V_c0_2] : % 153.33/153.39 ( hBOOL(hAPP(c_Com_OWT,V_c0_2)) % 153.33/153.39 => ( hBOOL(hAPP(c_Com_OWT,V_c1_2)) % 153.33/153.39 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2))) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_com_Osimps_I4_J,axiom, % 153.33/153.39 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : % 153.33/153.39 ( c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) = c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) % 153.33/153.39 <=> ( V_fun_2 = V_fun_H_2 % 153.33/153.39 & V_com1_2 = V_com1_H_2 % 153.33/153.39 & V_com2_2 = V_com2_H_2 ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_WT_Oequations_I5_J,axiom, % 153.33/153.39 ! [V_a2_2,V_a1_2,V_a3_2] : % 153.33/153.39 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_a3_2,V_a1_2,V_a2_2))) % 153.33/153.39 <=> ( hBOOL(hAPP(c_Com_OWT,V_a1_2)) % 153.33/153.39 & hBOOL(hAPP(c_Com_OWT,V_a2_2)) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_Suc__neq__Zero,axiom, % 153.33/153.39 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.39 % 153.33/153.39 fof(fact_Zero__neq__Suc,axiom, % 153.33/153.39 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 153.33/153.39 % 153.33/153.39 fof(fact_nat_Osimps_I3_J,axiom, % 153.33/153.39 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.39 % 153.33/153.39 fof(fact_Suc__not__Zero,axiom, % 153.33/153.39 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.39 % 153.33/153.39 fof(fact_nat_Osimps_I2_J,axiom, % 153.33/153.39 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 153.33/153.39 % 153.33/153.39 fof(fact_Zero__not__Suc,axiom, % 153.33/153.39 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 153.33/153.39 % 153.33/153.39 fof(fact_WT_OSemi,axiom, % 153.33/153.39 ! [V_c1,V_c0] : % 153.33/153.39 ( hBOOL(hAPP(c_Com_OWT,V_c0)) % 153.33/153.39 => ( hBOOL(hAPP(c_Com_OWT,V_c1)) % 153.33/153.39 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_c0,V_c1))) ) ) ). % 153.33/153.39 % 153.33/153.39 fof(fact_WT_Oequations_I4_J,axiom, % 153.33/153.40 ! [V_a2_2,V_a1_2] : % 153.33/153.40 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_a1_2,V_a2_2))) % 153.33/153.40 <=> ( hBOOL(hAPP(c_Com_OWT,V_a1_2)) % 153.33/153.40 & hBOOL(hAPP(c_Com_OWT,V_a2_2)) ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_WT_Oequations_I1_J,axiom, % 153.33/153.40 hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) ). % 153.33/153.40 % 153.33/153.40 fof(fact_WT_OSkip,axiom, % 153.33/153.40 hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) ). % 153.33/153.40 % 153.33/153.40 fof(fact_evaln_Oequations_I6_J,axiom, % 153.33/153.40 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] : % 153.33/153.40 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_a1_2,V_a6_2,V_a3_2),V_a2_2,V_a4_2,V_a5_2) % 153.33/153.40 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 153.33/153.40 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) % 153.33/153.40 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 153.33/153.40 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_evaln_Oequations_I5_J,axiom, % 153.33/153.40 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] : % 153.33/153.40 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a6_2),V_a2_2,V_a4_2,V_a5_2) % 153.33/153.40 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 153.33/153.40 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) % 153.33/153.40 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 153.33/153.40 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_evalc_Oequations_I5_J,axiom, % 153.33/153.40 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] : % 153.33/153.40 ( c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a5_2),V_a2_2,V_a4_2) % 153.33/153.40 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 153.33/153.40 & c_Natural_Oevalc(V_a3_2,V_a2_2,V_a4_2) ) % 153.33/153.40 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 153.33/153.40 & c_Natural_Oevalc(V_a5_2,V_a2_2,V_a4_2) ) ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_evalc_Oequations_I6_J,axiom, % 153.33/153.40 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] : % 153.33/153.40 ( c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a5_2,V_a3_2),V_a2_2,V_a4_2) % 153.33/153.40 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 153.33/153.40 & c_Natural_Oevalc(V_a5_2,V_a2_2,V_a4_2) ) % 153.33/153.40 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 153.33/153.40 & c_Natural_Oevalc(V_a3_2,V_a2_2,V_a4_2) ) ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_nat__case__0,axiom, % 153.33/153.40 ! [V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I54_J,axiom, % 153.33/153.40 ! [V_pname_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != c_Com_Ocom_OBODY(V_pname_H_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I55_J,axiom, % 153.33/153.40 ! [V_com2_2,V_com1_2,V_fun_2,V_pname_H_2] : c_Com_Ocom_OBODY(V_pname_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I45_J,axiom, % 153.33/153.40 ! [V_com2_2,V_com1_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I44_J,axiom, % 153.33/153.40 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I15_J,axiom, % 153.33/153.40 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSKIP ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I14_J,axiom, % 153.33/153.40 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_nat__rec__0,axiom, % 153.33/153.40 ! [V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Orecs_I5_J,axiom, % 153.33/153.40 ! [V_com2_2,V_com1_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(hAPP(hAPP(hAPP(V_f5_2,V_fun_2),V_com1_2),V_com2_2),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com1_2)),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com2_2)) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osize_I1_J,axiom, % 153.33/153.40 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osize_I7_J,axiom, % 153.33/153.40 ! [V_pname] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OBODY(V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osize_I9_J,axiom, % 153.33/153.40 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.40 % 153.33/153.40 fof(fact_WT_OBody,axiom, % 153.33/153.40 ! [V_pn] : % 153.33/153.40 ( hAPP(c_Com_Obody,V_pn) != c_Option_Ooption_ONone(tc_Com_Ocom) % 153.33/153.40 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(V_pn))) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osize_I15_J,axiom, % 153.33/153.40 ! [V_pname] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OBODY(V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.40 % 153.33/153.40 fof(fact_WTs__elim__cases_I8_J,axiom, % 153.33/153.40 ! [V_a_2,V_Pa_2,V_X_2] : % 153.33/153.40 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(V_X_2,V_Pa_2,V_a_2))) % 153.33/153.40 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(V_Pa_2))) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_WT_Oequations_I7_J,axiom, % 153.33/153.40 ! [V_a_2] : % 153.33/153.40 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(V_a_2))) % 153.33/153.40 <=> ? [B_y] : hAPP(c_Com_Obody,V_a_2) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_zero__reorient,axiom, % 153.33/153.40 ! [V_x_2,T_b] : % 153.33/153.40 ( class_Groups_Ozero(T_b) % 153.33/153.40 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2 % 153.33/153.40 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_def__nat__rec__0,axiom, % 153.33/153.40 ! [V_h_2,V_c_2,T_b,V_f_2] : % 153.33/153.40 ( ! [B_n] : hAPP(V_f_2,B_n) = hAPP(c_Nat_Onat_Onat__rec(T_b,V_c_2,V_h_2),B_n) % 153.33/153.40 => hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_c_2 ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_WT_Oequations_I8_J,axiom, % 153.33/153.40 ! [V_a3_2,V_a1_2,V_a2_2] : % 153.33/153.40 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(V_a2_2,V_a1_2,V_a3_2))) % 153.33/153.40 <=> hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(V_a1_2))) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_WT_OCall,axiom, % 153.33/153.40 ! [V_a_2,V_X_2,V_pna_2] : % 153.33/153.40 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(V_pna_2))) % 153.33/153.40 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(V_X_2,V_pna_2,V_a_2))) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I7_J,axiom, % 153.33/153.40 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_fun_2,V_pname_2,V_vname_2] : % 153.33/153.40 ( c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2) = c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) % 153.33/153.40 <=> ( V_vname_2 = V_vname_H_2 % 153.33/153.40 & V_pname_2 = V_pname_H_2 % 153.33/153.40 & V_fun_2 = V_fun_H_2 ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osize_I16_J,axiom, % 153.33/153.40 ! [V_fun_2,V_pname_2,V_vname_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osize_I8_J,axiom, % 153.33/153.40 ! [V_fun_2,V_pname_2,V_vname_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I62_J,axiom, % 153.33/153.40 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_pname_2] : c_Com_Ocom_OBODY(V_pname_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I63_J,axiom, % 153.33/153.40 ! [V_pname_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OBODY(V_pname_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I57_J,axiom, % 153.33/153.40 ! [V_com2_2,V_com1_2,V_fun_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I56_J,axiom, % 153.33/153.40 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I50_J,axiom, % 153.33/153.40 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I51_J,axiom, % 153.33/153.40 ! [V_com2_2,V_com1_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I20_J,axiom, % 153.33/153.40 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I21_J,axiom, % 153.33/153.40 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OSKIP ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Orecs_I8_J,axiom, % 153.33/153.40 ! [V_fun_2,V_pname_2,V_vname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = hAPP(hAPP(hAPP(V_f8_2,V_vname_2),V_pname_2),V_fun_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osimps_I71_J,axiom, % 153.33/153.40 ! [V_fun_2,V_pname_2,V_vname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = hAPP(hAPP(hAPP(V_f8_2,V_vname_2),V_pname_2),V_fun_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_WT__bodiesD,axiom, % 153.33/153.40 ! [V_b,V_pn] : % 153.33/153.40 ( c_Com_OWT__bodies % 153.33/153.40 => ( hAPP(c_Com_Obody,V_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b) % 153.33/153.40 => hBOOL(hAPP(c_Com_OWT,V_b)) ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_WTs__elim__cases_I7_J,axiom, % 153.33/153.40 ! [V_P] : % 153.33/153.40 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(V_P))) % 153.33/153.40 => ~ ! [B_y] : hAPP(c_Com_Obody,V_P) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_the_Osimps,axiom, % 153.33/153.40 ! [V_x,T_a] : hAPP(c_Option_Othe(T_a),hAPP(c_Option_Ooption_OSome(T_a),V_x)) = V_x ). % 153.33/153.40 % 153.33/153.40 fof(fact_not__None__eq,axiom, % 153.33/153.40 ! [T_b,V_x_2] : % 153.33/153.40 ( V_x_2 != c_Option_Ooption_ONone(T_b) % 153.33/153.40 <=> ? [B_y] : V_x_2 = hAPP(c_Option_Ooption_OSome(T_b),B_y) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_not__Some__eq,axiom, % 153.33/153.40 ! [T_b,V_x_2] : % 153.33/153.40 ( ! [B_y] : V_x_2 != hAPP(c_Option_Ooption_OSome(T_b),B_y) % 153.33/153.40 <=> V_x_2 = c_Option_Ooption_ONone(T_b) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_option_Osimps_I3_J,axiom, % 153.33/153.40 ! [V_a_H,T_a] : hAPP(c_Option_Ooption_OSome(T_a),V_a_H) != c_Option_Ooption_ONone(T_a) ). % 153.33/153.40 % 153.33/153.40 fof(fact_option_Osimps_I2_J,axiom, % 153.33/153.40 ! [V_a_H,T_a] : c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a),V_a_H) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osize_I12_J,axiom, % 153.33/153.40 ! [V_com2,V_com1] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osize_I4_J,axiom, % 153.33/153.40 ! [V_com2,V_com1] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1)),c_Com_Ocom_Ocom__size(V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osize_I13_J,axiom, % 153.33/153.40 ! [V_com2_2,V_com1_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1_2)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osize_I5_J,axiom, % 153.33/153.40 ! [V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1_2)),c_Com_Ocom_Ocom__size(V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__right__imp__eq,axiom, % 153.33/153.40 ! [V_c,V_a,V_b,T_a] : % 153.33/153.40 ( class_Groups_Ocancel__semigroup__add(T_a) % 153.33/153.40 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a) % 153.33/153.40 => V_b = V_c ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__imp__eq,axiom, % 153.33/153.40 ! [V_c,V_b,V_a,T_a] : % 153.33/153.40 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 153.33/153.40 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) % 153.33/153.40 => V_b = V_c ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__left__imp__eq,axiom, % 153.33/153.40 ! [V_c,V_b,V_a,T_a] : % 153.33/153.40 ( class_Groups_Ocancel__semigroup__add(T_a) % 153.33/153.40 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) % 153.33/153.40 => V_b = V_c ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__right__cancel,axiom, % 153.33/153.40 ! [V_c_2,V_a_2,V_b_2,T_b] : % 153.33/153.40 ( class_Groups_Ocancel__semigroup__add(T_b) % 153.33/153.40 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2) % 153.33/153.40 <=> V_b_2 = V_c_2 ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__left__cancel,axiom, % 153.33/153.40 ! [V_c_2,V_b_2,V_a_2,T_b] : % 153.33/153.40 ( class_Groups_Ocancel__semigroup__add(T_b) % 153.33/153.40 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2) % 153.33/153.40 <=> V_b_2 = V_c_2 ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 153.33/153.40 ! [V_c,V_b,V_a,T_a] : % 153.33/153.40 ( class_Groups_Oab__semigroup__add(T_a) % 153.33/153.40 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_nat__add__right__cancel,axiom, % 153.33/153.40 ! [V_na_2,V_k_2,V_m_2] : % 153.33/153.40 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2) % 153.33/153.40 <=> V_m_2 = V_na_2 ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_nat__add__left__cancel,axiom, % 153.33/153.40 ! [V_na_2,V_m_2,V_k_2] : % 153.33/153.40 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2) % 153.33/153.40 <=> V_m_2 = V_na_2 ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_nat__add__assoc,axiom, % 153.33/153.40 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) ). % 153.33/153.40 % 153.33/153.40 fof(fact_nat__add__left__commute,axiom, % 153.33/153.40 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_z)) ). % 153.33/153.40 % 153.33/153.40 fof(fact_nat__add__commute,axiom, % 153.33/153.40 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__0__left,axiom, % 153.33/153.40 ! [V_a,T_a] : % 153.33/153.40 ( class_Groups_Omonoid__add(T_a) % 153.33/153.40 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__0,axiom, % 153.33/153.40 ! [V_a,T_a] : % 153.33/153.40 ( class_Groups_Ocomm__monoid__add(T_a) % 153.33/153.40 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_double__zero__sym,axiom, % 153.33/153.40 ! [V_a_2,T_b] : % 153.33/153.40 ( class_Groups_Olinordered__ab__group__add(T_b) % 153.33/153.40 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) % 153.33/153.40 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__0__right,axiom, % 153.33/153.40 ! [V_a,T_a] : % 153.33/153.40 ( class_Groups_Omonoid__add(T_a) % 153.33/153.40 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add_Ocomm__neutral,axiom, % 153.33/153.40 ! [V_a,T_a] : % 153.33/153.40 ( class_Groups_Ocomm__monoid__add(T_a) % 153.33/153.40 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__eq__self__zero,axiom, % 153.33/153.40 ! [V_n,V_m] : % 153.33/153.40 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 153.33/153.40 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__is__0,axiom, % 153.33/153.40 ! [V_na_2,V_m_2] : % 153.33/153.40 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.33/153.40 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.33/153.40 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_Nat_Oadd__0__right,axiom, % 153.33/153.40 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 153.33/153.40 % 153.33/153.40 fof(fact_plus__nat_Oadd__0,axiom, % 153.33/153.40 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__Suc__shift,axiom, % 153.33/153.40 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__Suc,axiom, % 153.33/153.40 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__Suc__right,axiom, % 153.33/153.40 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ). % 153.33/153.40 % 153.33/153.40 fof(fact_one__is__add,axiom, % 153.33/153.40 ! [V_na_2,V_m_2] : % 153.33/153.40 ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) % 153.33/153.40 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 153.33/153.40 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.33/153.40 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.33/153.40 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__is__1,axiom, % 153.33/153.40 ! [V_na_2,V_m_2] : % 153.33/153.40 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 153.33/153.40 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 153.33/153.40 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.33/153.40 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.33/153.40 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_option_Oinject,axiom, % 153.33/153.40 ! [V_a_H_2,V_a_2,T_b] : % 153.33/153.40 ( hAPP(c_Option_Ooption_OSome(T_b),V_a_2) = hAPP(c_Option_Ooption_OSome(T_b),V_a_H_2) % 153.33/153.40 <=> V_a_2 = V_a_H_2 ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_option_Osize_I2_J,axiom, % 153.33/153.40 ! [V_a_2,V_fa_2,T_b] : c_Option_Ooption_Ooption__size(T_b,V_fa_2,hAPP(c_Option_Ooption_OSome(T_b),V_a_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.33/153.40 % 153.33/153.40 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 153.33/153.40 ! [V_a,T_a] : % 153.33/153.40 ( class_Rings_Ocomm__semiring__1(T_a) % 153.33/153.40 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 153.33/153.40 ! [V_a,T_a] : % 153.33/153.40 ( class_Rings_Ocomm__semiring__1(T_a) % 153.33/153.40 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_add__0__iff,axiom, % 153.33/153.40 ! [V_a_2,V_b_2,T_b] : % 153.33/153.40 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 153.33/153.40 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) % 153.33/153.40 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_double__eq__0__iff,axiom, % 153.33/153.40 ! [V_a_2,T_b] : % 153.33/153.40 ( class_Groups_Olinordered__ab__group__add(T_b) % 153.33/153.40 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 153.33/153.40 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osize_I3_J,axiom, % 153.33/153.40 ! [V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.33/153.40 % 153.33/153.40 fof(fact_com_Osize_I11_J,axiom, % 153.33/153.40 ! [V_com_2,V_fun_2,V_loc_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.33/153.40 % 153.33/153.40 fof(fact_option_Orecs_I2_J,axiom, % 153.33/153.40 ! [V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Option_Ooption_Ooption__rec(T_b,T_c,V_f1_2,V_f2_2,hAPP(c_Option_Ooption_OSome(T_c),V_a_2)) = hAPP(V_f2_2,V_a_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_option_Osimps_I5_J,axiom, % 153.33/153.40 ! [V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_Option_Ooption_Ooption__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(c_Option_Ooption_OSome(T_c),V_a_2)) = hAPP(V_f2_2,V_a_2) ). % 153.33/153.40 % 153.33/153.40 fof(fact_option_Orecs_I1_J,axiom, % 153.33/153.41 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Option_Ooption_Ooption__rec(T_b,T_c,V_f1_2,V_f2_2,c_Option_Ooption_ONone(T_c)) = V_f1_2 ). % 153.33/153.41 % 153.33/153.41 fof(fact_option_Osimps_I4_J,axiom, % 153.33/153.41 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_Option_Ooption_Ooption__case(T_b,T_c,V_f1_2,V_f2_2),c_Option_Ooption_ONone(T_c)) = V_f1_2 ). % 153.33/153.41 % 153.33/153.41 fof(fact_WTs__elim__cases_I3_J,axiom, % 153.33/153.41 ! [V_c_2,V_a_2,V_Y_2] : % 153.33/153.41 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_Y_2,V_a_2,V_c_2))) % 153.33/153.41 => hBOOL(hAPP(c_Com_OWT,V_c_2)) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I2_J,axiom, % 153.33/153.41 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] : % 153.33/153.41 ( c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) = c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) % 153.33/153.41 <=> ( V_loc_2 = V_loc_H_2 % 153.33/153.41 & V_fun_2 = V_fun_H_2 % 153.33/153.41 & V_com_2 = V_com_H_2 ) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_WT_Oequations_I3_J,axiom, % 153.33/153.41 ! [V_a1_2,V_a3_2,V_a2_2] : % 153.33/153.41 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_a2_2,V_a3_2,V_a1_2))) % 153.33/153.41 <=> hBOOL(hAPP(c_Com_OWT,V_a1_2)) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_WT_OLocal,axiom, % 153.33/153.41 ! [V_a_2,V_Y_2,V_c_2] : % 153.33/153.41 ( hBOOL(hAPP(c_Com_OWT,V_c_2)) % 153.33/153.41 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_Y_2,V_a_2,V_c_2))) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I41_J,axiom, % 153.33/153.41 ! [V_com_2,V_fun_2,V_loc_2,V_pname_H_2] : c_Com_Ocom_OBODY(V_pname_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I40_J,axiom, % 153.33/153.41 ! [V_pname_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OBODY(V_pname_H_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I37_J,axiom, % 153.33/153.41 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I36_J,axiom, % 153.33/153.41 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I43_J,axiom, % 153.33/153.41 ! [V_com_2,V_fun_2,V_loc_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I42_J,axiom, % 153.33/153.41 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I35_J,axiom, % 153.33/153.41 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I34_J,axiom, % 153.33/153.41 ! [V_com2_H_2,V_com1_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I10_J,axiom, % 153.33/153.41 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I11_J,axiom, % 153.33/153.41 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Orecs_I3_J,axiom, % 153.33/153.41 ! [V_com_2,V_fun_2,V_loc_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(hAPP(hAPP(V_f3_2,V_loc_2),V_fun_2),V_com_2),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com_2)) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I66_J,axiom, % 153.33/153.41 ! [V_com_2,V_fun_2,V_loc_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(hAPP(V_f3_2,V_loc_2),V_fun_2),V_com_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 153.33/153.41 ! [V_d,V_c,V_b,V_a,T_a] : % 153.33/153.41 ( class_Rings_Ocomm__semiring__1(T_a) % 153.33/153.41 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d)) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 153.33/153.41 ! [V_c,V_b,V_a,T_a] : % 153.33/153.41 ( class_Rings_Ocomm__semiring__1(T_a) % 153.33/153.41 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 153.33/153.41 ! [V_c,V_b,V_a,T_a] : % 153.33/153.41 ( class_Rings_Ocomm__semiring__1(T_a) % 153.33/153.41 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 153.33/153.41 ! [V_d,V_c,V_a,T_a] : % 153.33/153.41 ( class_Rings_Ocomm__semiring__1(T_a) % 153.33/153.41 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 153.33/153.41 ! [V_d,V_c,V_a,T_a] : % 153.33/153.41 ( class_Rings_Ocomm__semiring__1(T_a) % 153.33/153.41 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_d)) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 153.33/153.41 ! [V_c,V_a,T_a] : % 153.33/153.41 ( class_Rings_Ocomm__semiring__1(T_a) % 153.33/153.41 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_option_Osize_I1_J,axiom, % 153.33/153.41 ! [V_fa_2,T_b] : c_Option_Ooption_Ooption__size(T_b,V_fa_2,c_Option_Ooption_ONone(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.41 % 153.33/153.41 fof(fact_nat_Osize_I2_J,axiom, % 153.33/153.41 ! [V_nat] : c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_Onat_Onat__size(V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.33/153.41 % 153.33/153.41 fof(fact_nat_Osize_I4_J,axiom, % 153.33/153.41 ! [V_nat] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.33/153.41 % 153.33/153.41 fof(fact_option_Osize_I4_J,axiom, % 153.33/153.41 ! [V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(T_a)),hAPP(c_Option_Ooption_OSome(T_a),V_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.41 % 153.33/153.41 fof(fact_option_Osize_I3_J,axiom, % 153.33/153.41 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.41 % 153.33/153.41 fof(fact_bool_Osize_I2_J,axiom, % 153.33/153.41 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.41 % 153.33/153.41 fof(fact_bool_Osize_I1_J,axiom, % 153.33/153.41 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osize_I14_J,axiom, % 153.33/153.41 ! [V_com_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osize_I6_J,axiom, % 153.33/153.41 ! [V_com_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.33/153.41 % 153.33/153.41 fof(fact_is__none__code_I2_J,axiom, % 153.33/153.41 ! [V_x,T_b] : ~ c_Option_Ois__none(T_b,hAPP(c_Option_Ooption_OSome(T_b),V_x)) ). % 153.33/153.41 % 153.33/153.41 fof(fact_is__none__def,axiom, % 153.33/153.41 ! [V_x_2,T_b] : % 153.33/153.41 ( c_Option_Ois__none(T_b,V_x_2) % 153.33/153.41 <=> V_x_2 = c_Option_Ooption_ONone(T_b) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_is__none__code_I1_J,axiom, % 153.33/153.41 ! [T_a] : c_Option_Ois__none(T_a,c_Option_Ooption_ONone(T_a)) ). % 153.33/153.41 % 153.33/153.41 fof(fact_evaln_OWhileTrue,axiom, % 153.33/153.41 ! [V_s2_2,V_s1_2,V_na_2,V_c_2,V_s0_2,V_b_2] : % 153.33/153.41 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 153.33/153.41 => ( c_Natural_Oevaln(V_c_2,V_s0_2,V_na_2,V_s1_2) % 153.33/153.41 => ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s1_2,V_na_2,V_s2_2) % 153.33/153.41 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s0_2,V_na_2,V_s2_2) ) ) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_evaln_OWhileFalse,axiom, % 153.33/153.41 ! [V_na_2,V_c_2,V_s_2,V_b_2] : % 153.33/153.41 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 153.33/153.41 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s_2,V_na_2,V_s_2) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_evalc_OWhileFalse,axiom, % 153.33/153.41 ! [V_c_2,V_s_2,V_b_2] : % 153.33/153.41 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 153.33/153.41 => c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s_2,V_s_2) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_evalc_OWhileTrue,axiom, % 153.33/153.41 ! [V_s2_2,V_s1_2,V_c_2,V_s0_2,V_b_2] : % 153.33/153.41 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 153.33/153.41 => ( c_Natural_Oevalc(V_c_2,V_s0_2,V_s1_2) % 153.33/153.41 => ( c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s1_2,V_s2_2) % 153.33/153.41 => c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s0_2,V_s2_2) ) ) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_WTs__elim__cases_I6_J,axiom, % 153.33/153.41 ! [V_c_2,V_b_2] : % 153.33/153.41 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_b_2,V_c_2))) % 153.33/153.41 => hBOOL(hAPP(c_Com_OWT,V_c_2)) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I5_J,axiom, % 153.33/153.41 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] : % 153.33/153.41 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) % 153.33/153.41 <=> ( V_fun_2 = V_fun_H_2 % 153.33/153.41 & V_com_2 = V_com_H_2 ) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_nat__size,axiom, % 153.33/153.41 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 153.33/153.41 % 153.33/153.41 fof(fact_evaln_Oequations_I8_J,axiom, % 153.33/153.41 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 153.33/153.41 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a6_2) % 153.33/153.41 <=> ( ( V_a6_2 = V_a2_2 % 153.33/153.41 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 153.33/153.41 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 153.33/153.41 & ? [B_s1] : % 153.33/153.41 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1) % 153.33/153.41 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a6_2) ) ) ) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_evaln_Oequations_I7_J,axiom, % 153.33/153.41 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 153.33/153.41 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a2_2) % 153.33/153.41 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 153.33/153.41 => ? [B_s1] : % 153.33/153.41 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1) % 153.33/153.41 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a2_2) ) ) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_evalc_Oequations_I7_J,axiom, % 153.33/153.41 ! [V_a2_2,V_a3_2,V_a1_2] : % 153.33/153.41 ( c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a2_2) % 153.33/153.41 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 153.33/153.41 => ? [B_s1] : % 153.33/153.41 ( c_Natural_Oevalc(V_a3_2,V_a2_2,B_s1) % 153.33/153.41 & c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a2_2) ) ) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_evalc_Oequations_I8_J,axiom, % 153.33/153.41 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] : % 153.33/153.41 ( c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a5_2) % 153.33/153.41 <=> ( ( V_a5_2 = V_a2_2 % 153.33/153.41 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 153.33/153.41 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 153.33/153.41 & ? [B_s1] : % 153.33/153.41 ( c_Natural_Oevalc(V_a3_2,V_a2_2,B_s1) % 153.33/153.41 & c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a5_2) ) ) ) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_While,axiom, % 153.33/153.41 ! [V_b_2,V_c_2] : % 153.33/153.41 ( hBOOL(hAPP(c_Com_OWT,V_c_2)) % 153.33/153.41 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_b_2,V_c_2))) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_WT_Oequations_I6_J,axiom, % 153.33/153.41 ! [V_a1_2,V_a2_2] : % 153.33/153.41 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_a2_2,V_a1_2))) % 153.33/153.41 <=> hBOOL(hAPP(c_Com_OWT,V_a1_2)) ) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I58_J,axiom, % 153.33/153.41 ! [V_pname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != c_Com_Ocom_OBODY(V_pname_H_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I59_J,axiom, % 153.33/153.41 ! [V_com_2,V_fun_2,V_pname_H_2] : c_Com_Ocom_OBODY(V_pname_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I52_J,axiom, % 153.33/153.41 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I53_J,axiom, % 153.33/153.41 ! [V_com2_2,V_com1_2,V_fun_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I47_J,axiom, % 153.33/153.41 ! [V_com2_2,V_com1_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I46_J,axiom, % 153.33/153.41 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I61_J,axiom, % 153.33/153.41 ! [V_com_2,V_fun_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I60_J,axiom, % 153.33/153.41 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I38_J,axiom, % 153.33/153.41 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I39_J,axiom, % 153.33/153.41 ! [V_com_2,V_fun_2,V_loc_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I17_J,axiom, % 153.33/153.41 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I16_J,axiom, % 153.33/153.41 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Orecs_I6_J,axiom, % 153.33/153.41 ! [V_com_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(hAPP(V_f6_2,V_fun_2),V_com_2),c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,V_com_2)) ). % 153.33/153.41 % 153.33/153.41 fof(fact_com_Osimps_I69_J,axiom, % 153.33/153.41 ! [V_com_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(V_f6_2,V_fun_2),V_com_2) ). % 153.33/153.41 % 153.33/153.41 fof(fact_nat_Osize_I3_J,axiom, % 153.33/153.41 hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.41 % 153.33/153.41 fof(fact_nat_Osize_I1_J,axiom, % 153.33/153.41 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.41 % 153.33/153.41 fof(fact_bool_Osize_I3_J,axiom, % 153.33/153.41 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.41 % 153.33/153.41 fof(fact_bool_Osize_I4_J,axiom, % 153.33/153.41 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.33/153.41 % 153.46/153.41 fof(fact_evalc__WHILE__case,axiom, % 153.46/153.41 ! [V_t_2,V_s_2,V_c_2,V_b_2] : % 153.46/153.41 ( c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s_2,V_t_2) % 153.46/153.41 => ( ( V_t_2 = V_s_2 % 153.46/153.41 => hBOOL(hAPP(V_b_2,V_s_2)) ) % 153.46/153.41 => ~ ( hBOOL(hAPP(V_b_2,V_s_2)) % 153.46/153.41 => ! [B_s1] : % 153.46/153.41 ( c_Natural_Oevalc(V_c_2,V_s_2,B_s1) % 153.46/153.41 => ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2),B_s1,V_t_2) ) ) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_evaln__WHILE__case,axiom, % 153.46/153.41 ! [V_t_2,V_na_2,V_s_2,V_c_2,V_b_2] : % 153.46/153.41 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s_2,V_na_2,V_t_2) % 153.46/153.41 => ( ( V_t_2 = V_s_2 % 153.46/153.41 => hBOOL(hAPP(V_b_2,V_s_2)) ) % 153.46/153.41 => ~ ( hBOOL(hAPP(V_b_2,V_s_2)) % 153.46/153.41 => ! [B_s1] : % 153.46/153.41 ( c_Natural_Oevaln(V_c_2,V_s_2,V_na_2,B_s1) % 153.46/153.41 => ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),B_s1,V_na_2,V_t_2) ) ) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_pair__box_Osize_I1_J,axiom, % 153.46/153.41 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__size(T_b,T_c,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_b_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.46/153.41 % 153.46/153.41 fof(fact_sum_Osize_I1_J,axiom, % 153.46/153.41 ! [V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Sum__Type_Osum_Osum__size(T_b,T_c,V_fa_2,V_fb_2,hAPP(c_Sum__Type_OInl(T_b,T_c),V_a_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.46/153.41 % 153.46/153.41 fof(fact_sum_Osize_I2_J,axiom, % 153.46/153.41 ! [V_b_2,V_fb_2,V_fa_2,T_c,T_b] : c_Sum__Type_Osum_Osum__size(T_b,T_c,V_fa_2,V_fb_2,hAPP(c_Sum__Type_OInr(T_c,T_b),V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fb_2,V_b_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.46/153.41 % 153.46/153.41 fof(fact_option_Oexhaust,axiom, % 153.46/153.41 ! [T_a,V_y] : % 153.46/153.41 ( V_y != c_Option_Ooption_ONone(T_a) % 153.46/153.41 => ~ ! [B_a] : V_y != hAPP(c_Option_Ooption_OSome(T_a),B_a) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osize_I2_J,axiom, % 153.46/153.41 ! [V_fun_2,V_vname_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osize_I10_J,axiom, % 153.46/153.41 ! [V_fun_2,V_vname_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.41 % 153.46/153.41 fof(fact_zero__less__Suc,axiom, % 153.46/153.41 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_n))) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__zeroE,axiom, % 153.46/153.41 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.46/153.41 % 153.46/153.41 fof(fact_lessI,axiom, % 153.46/153.41 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 153.46/153.41 % 153.46/153.41 fof(fact_Suc__mono,axiom, % 153.46/153.41 ! [V_n,V_m] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__not__refl,axiom, % 153.46/153.41 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 153.46/153.41 % 153.46/153.41 fof(fact_nat__neq__iff,axiom, % 153.46/153.41 ! [V_na_2,V_m_2] : % 153.46/153.41 ( V_m_2 != V_na_2 % 153.46/153.41 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 153.46/153.41 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I1_J,axiom, % 153.46/153.41 ! [V_fun_H_2,V_vname_H_2,V_fun_2,V_vname_2] : % 153.46/153.41 ( c_Com_Ocom_OAss(V_vname_2,V_fun_2) = c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) % 153.46/153.41 <=> ( V_vname_2 = V_vname_H_2 % 153.46/153.41 & V_fun_2 = V_fun_H_2 ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_linorder__neqE__nat,axiom, % 153.46/153.41 ! [V_y,V_x] : % 153.46/153.41 ( V_x != V_y % 153.46/153.41 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__irrefl__nat,axiom, % 153.46/153.41 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__not__refl2,axiom, % 153.46/153.41 ! [V_m,V_n] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 153.46/153.41 => V_m != V_n ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__not__refl3,axiom, % 153.46/153.41 ! [V_t,V_s] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 153.46/153.41 => V_s != V_t ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_nat__less__cases,axiom, % 153.46/153.41 ! [V_Pa_2,V_na_2,V_m_2] : % 153.46/153.41 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 153.46/153.41 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) % 153.46/153.41 => ( ( V_m_2 = V_na_2 % 153.46/153.41 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) % 153.46/153.41 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 153.46/153.41 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) % 153.46/153.41 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_pair__box_Oinject,axiom, % 153.46/153.41 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 153.46/153.41 ( c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_H_2,V_b_H_2) % 153.46/153.41 <=> ( V_a_2 = V_a_H_2 % 153.46/153.41 & V_b_2 = V_b_H_2 ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_add__less__cancel__right,axiom, % 153.46/153.41 ! [V_b_2,V_c_2,V_a_2,T_b] : % 153.46/153.41 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2))) % 153.46/153.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_add__less__cancel__left,axiom, % 153.46/153.41 ! [V_b_2,V_a_2,V_c_2,T_b] : % 153.46/153.41 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2))) % 153.46/153.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_add__strict__right__mono,axiom, % 153.46/153.41 ! [V_c,V_b,V_a,T_a] : % 153.46/153.41 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_add__strict__left__mono,axiom, % 153.46/153.41 ! [V_c,V_b,V_a,T_a] : % 153.46/153.41 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_add__strict__mono,axiom, % 153.46/153.41 ! [V_d,V_c,V_b,V_a,T_a] : % 153.46/153.41 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_add__less__imp__less__right,axiom, % 153.46/153.41 ! [V_b,V_c,V_a,T_a] : % 153.46/153.41 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_add__less__imp__less__left,axiom, % 153.46/153.41 ! [V_b,V_a,V_c,T_a] : % 153.46/153.41 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_not__less0,axiom, % 153.46/153.41 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.46/153.41 % 153.46/153.41 fof(fact_neq0__conv,axiom, % 153.46/153.41 ! [V_na_2] : % 153.46/153.41 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__nat__zero__code,axiom, % 153.46/153.41 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.46/153.41 % 153.46/153.41 fof(fact_gr__implies__not0,axiom, % 153.46/153.41 ! [V_n,V_m] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.41 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_gr0I,axiom, % 153.46/153.41 ! [V_n] : % 153.46/153.41 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_not__less__eq,axiom, % 153.46/153.41 ! [V_na_2,V_m_2] : % 153.46/153.41 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 153.46/153.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__Suc__eq,axiom, % 153.46/153.41 ! [V_na_2,V_m_2] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 153.46/153.41 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 153.46/153.41 | V_m_2 = V_na_2 ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_Suc__less__eq,axiom, % 153.46/153.41 ! [V_na_2,V_m_2] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_na_2))) % 153.46/153.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_not__less__less__Suc__eq,axiom, % 153.46/153.41 ! [V_m_2,V_na_2] : % 153.46/153.41 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) % 153.46/153.41 <=> V_na_2 = V_m_2 ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__antisym,axiom, % 153.46/153.41 ! [V_m,V_n] : % 153.46/153.41 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 153.46/153.41 => V_m = V_n ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__SucI,axiom, % 153.46/153.41 ! [V_n,V_m] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_Suc__lessI,axiom, % 153.46/153.41 ! [V_n,V_m] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.41 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__trans__Suc,axiom, % 153.46/153.41 ! [V_k,V_j,V_i] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__SucE,axiom, % 153.46/153.41 ! [V_n,V_m] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 153.46/153.41 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.41 => V_m = V_n ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_Suc__lessD,axiom, % 153.46/153.41 ! [V_n,V_m] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_Suc__less__SucD,axiom, % 153.46/153.41 ! [V_n,V_m] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_not__add__less1,axiom, % 153.46/153.41 ! [V_j,V_i] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_i)) ). % 153.46/153.41 % 153.46/153.41 fof(fact_not__add__less2,axiom, % 153.46/153.41 ! [V_i,V_j] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_i)) ). % 153.46/153.41 % 153.46/153.41 fof(fact_nat__add__left__cancel__less,axiom, % 153.46/153.41 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2))) % 153.46/153.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_trans__less__add1,axiom, % 153.46/153.41 ! [V_m,V_j,V_i] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_trans__less__add2,axiom, % 153.46/153.41 ! [V_m,V_j,V_i] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_add__less__mono1,axiom, % 153.46/153.41 ! [V_k,V_j,V_i] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_add__less__mono,axiom, % 153.46/153.41 ! [V_l,V_k,V_j,V_i] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__add__eq__less,axiom, % 153.46/153.41 ! [V_n,V_m,V_l,V_k] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 153.46/153.41 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_add__lessD1,axiom, % 153.46/153.41 ! [V_k,V_j,V_i] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_WT_OAssign,axiom, % 153.46/153.41 ! [V_a_2,V_X_2] : hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OAss(V_X_2,V_a_2))) ). % 153.46/153.41 % 153.46/153.41 fof(fact_WT_Oequations_I2_J,axiom, % 153.46/153.41 ! [V_a2_2,V_a1_2] : hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OAss(V_a1_2,V_a2_2))) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I31_J,axiom, % 153.46/153.41 ! [V_fun_2,V_vname_2,V_pname_H_2] : c_Com_Ocom_OBODY(V_pname_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I30_J,axiom, % 153.46/153.41 ! [V_pname_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OBODY(V_pname_H_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I28_J,axiom, % 153.46/153.41 ! [V_com_H_2,V_fun_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I29_J,axiom, % 153.46/153.41 ! [V_fun_2,V_vname_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I26_J,axiom, % 153.46/153.41 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I27_J,axiom, % 153.46/153.41 ! [V_fun_2,V_vname_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I22_J,axiom, % 153.46/153.41 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I23_J,axiom, % 153.46/153.41 ! [V_fun_2,V_vname_2,V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I32_J,axiom, % 153.46/153.41 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I33_J,axiom, % 153.46/153.41 ! [V_fun_2,V_vname_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I24_J,axiom, % 153.46/153.41 ! [V_com2_H_2,V_com1_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I25_J,axiom, % 153.46/153.41 ! [V_fun_2,V_vname_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I8_J,axiom, % 153.46/153.41 ! [V_fun_H_2,V_vname_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I9_J,axiom, % 153.46/153.41 ! [V_fun_H_2,V_vname_H_2] : c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) != c_Com_Ocom_OSKIP ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Orecs_I2_J,axiom, % 153.46/153.41 ! [V_fun_2,V_vname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__rec(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = hAPP(hAPP(V_f2_2,V_vname_2),V_fun_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_com_Osimps_I65_J,axiom, % 153.46/153.41 ! [V_fun_2,V_vname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = hAPP(hAPP(V_f2_2,V_vname_2),V_fun_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_even__less__0__iff,axiom, % 153.46/153.41 ! [V_a_2,T_b] : % 153.46/153.41 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 153.46/153.41 ! [V_a_2,T_b] : % 153.46/153.41 ( class_Groups_Olinordered__ab__group__add(T_b) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2))) % 153.46/153.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 153.46/153.41 ! [V_a_2,T_b] : % 153.46/153.41 ( class_Groups_Olinordered__ab__group__add(T_b) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_add__pos__pos,axiom, % 153.46/153.41 ! [V_b,V_a,T_a] : % 153.46/153.41 ( class_Groups_Oordered__comm__monoid__add(T_a) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_add__neg__neg,axiom, % 153.46/153.41 ! [V_b,V_a,T_a] : % 153.46/153.41 ( class_Groups_Oordered__comm__monoid__add(T_a) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__Suc__eq__0__disj,axiom, % 153.46/153.41 ! [V_na_2,V_m_2] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 153.46/153.41 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.41 | ? [B_j] : % 153.46/153.41 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 153.46/153.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_na_2)) ) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__Suc0,axiom, % 153.46/153.41 ! [V_na_2] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) % 153.46/153.41 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_gr0__conv__Suc,axiom, % 153.46/153.41 ! [V_na_2] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 153.46/153.41 <=> ? [B_m] : V_na_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_add__gr__0,axiom, % 153.46/153.41 ! [V_na_2,V_m_2] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2))) % 153.46/153.41 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 153.46/153.41 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__iff__Suc__add,axiom, % 153.46/153.41 ! [V_na_2,V_m_2] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 153.46/153.41 <=> ? [B_k] : V_na_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__add__Suc2,axiom, % 153.46/153.41 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_i)))) ). % 153.46/153.41 % 153.46/153.41 fof(fact_less__add__Suc1,axiom, % 153.46/153.41 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)))) ). % 153.46/153.41 % 153.46/153.41 fof(fact_pair__box_Osize_I2_J,axiom, % 153.46/153.41 ! [V_b,V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(T_a,T_b)),c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a,V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.41 % 153.46/153.41 fof(fact_pair__box_Osimps_I2_J,axiom, % 153.46/153.41 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__case(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_pair__box_Orecs,axiom, % 153.46/153.41 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__rec(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 153.46/153.41 % 153.46/153.41 fof(fact_pos__add__strict,axiom, % 153.46/153.41 ! [V_c,V_b,V_a,T_a] : % 153.46/153.41 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_sum_Osimps_I4_J,axiom, % 153.46/153.41 ! [V_a_1,V_b_H_1,T_a_1,T_b_1] : hAPP(c_Sum__Type_OInr(T_b_1,T_a_1),V_b_H_1) != hAPP(c_Sum__Type_OInl(T_a_1,T_b_1),V_a_1) ). % 153.46/153.41 % 153.46/153.41 fof(fact_Inr__not__Inl,axiom, % 153.46/153.41 ! [V_a,V_b,T_a,T_b] : hAPP(c_Sum__Type_OInr(T_b,T_a),V_b) != hAPP(c_Sum__Type_OInl(T_a,T_b),V_a) ). % 153.46/153.41 % 153.46/153.41 fof(fact_sum_Osimps_I3_J,axiom, % 153.46/153.41 ! [V_b_H,V_a,T_b,T_a] : hAPP(c_Sum__Type_OInl(T_a,T_b),V_a) != hAPP(c_Sum__Type_OInr(T_b,T_a),V_b_H) ). % 153.46/153.41 % 153.46/153.41 fof(fact_Inl__not__Inr,axiom, % 153.46/153.41 ! [V_b,V_a,T_b,T_a] : hAPP(c_Sum__Type_OInl(T_a,T_b),V_a) != hAPP(c_Sum__Type_OInr(T_b,T_a),V_b) ). % 153.46/153.41 % 153.46/153.41 fof(fact_sum_Osize_I3_J,axiom, % 153.46/153.41 ! [V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_sum(T_a,T_b)),hAPP(c_Sum__Type_OInl(T_a,T_b),V_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.41 % 153.46/153.41 fof(fact_sum_Osize_I4_J,axiom, % 153.46/153.41 ! [V_b,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_sum(T_a,T_b)),hAPP(c_Sum__Type_OInr(T_b,T_a),V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.41 % 153.46/153.41 fof(fact_termination__basic__simps_I2_J,axiom, % 153.46/153.41 ! [V_y,V_z,V_x] : % 153.46/153.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_linorder__neqE__linordered__idom,axiom, % 153.46/153.41 ! [V_y,V_x,T_a] : % 153.46/153.41 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.41 => ( V_x != V_y % 153.46/153.41 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_sum_Osimps_I2_J,axiom, % 153.46/153.41 ! [V_b_H_2,V_b_2,T_b,T_c] : % 153.46/153.41 ( hAPP(c_Sum__Type_OInr(T_c,T_b),V_b_2) = hAPP(c_Sum__Type_OInr(T_c,T_b),V_b_H_2) % 153.46/153.41 <=> V_b_2 = V_b_H_2 ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_Inr__inject,axiom, % 153.46/153.41 ! [V_y,V_x,T_a,T_b] : % 153.46/153.41 ( hAPP(c_Sum__Type_OInr(T_b,T_a),V_x) = hAPP(c_Sum__Type_OInr(T_b,T_a),V_y) % 153.46/153.41 => V_x = V_y ) ). % 153.46/153.41 % 153.46/153.41 fof(fact_sum_Osimps_I1_J,axiom, % 153.46/153.41 ! [V_a_H_2,V_a_2,T_c,T_b] : % 153.46/153.42 ( hAPP(c_Sum__Type_OInl(T_b,T_c),V_a_2) = hAPP(c_Sum__Type_OInl(T_b,T_c),V_a_H_2) % 153.46/153.42 <=> V_a_2 = V_a_H_2 ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_Inl__inject,axiom, % 153.46/153.42 ! [V_y,V_x,T_b,T_a] : % 153.46/153.42 ( hAPP(c_Sum__Type_OInl(T_a,T_b),V_x) = hAPP(c_Sum__Type_OInl(T_a,T_b),V_y) % 153.46/153.42 => V_x = V_y ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_termination__basic__simps_I1_J,axiom, % 153.46/153.42 ! [V_z,V_y,V_x] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_Projl_Osimps,axiom, % 153.46/153.42 ! [V_x,T_b,T_a] : c_Sum__Type_OProjl(T_a,T_b,hAPP(c_Sum__Type_OInl(T_a,T_b),V_x)) = V_x ). % 153.46/153.42 % 153.46/153.42 fof(fact_Projr_Osimps,axiom, % 153.46/153.42 ! [V_x,T_b,T_a] : c_Sum__Type_OProjr(T_a,T_b,hAPP(c_Sum__Type_OInr(T_b,T_a),V_x)) = V_x ). % 153.46/153.42 % 153.46/153.42 fof(fact_sum_Orecs_I1_J,axiom, % 153.46/153.42 ! [V_a_2,V_f2_2,V_f1_2,T_d,T_b,T_c] : c_Sum__Type_Osum_Osum__rec(T_c,T_b,T_d,V_f1_2,V_f2_2,hAPP(c_Sum__Type_OInl(T_c,T_d),V_a_2)) = hAPP(V_f1_2,V_a_2) ). % 153.46/153.42 % 153.46/153.42 fof(fact_sum_Orecs_I2_J,axiom, % 153.46/153.42 ! [V_b_2,V_f2_2,V_f1_2,T_d,T_b,T_c] : c_Sum__Type_Osum_Osum__rec(T_c,T_b,T_d,V_f1_2,V_f2_2,hAPP(c_Sum__Type_OInr(T_d,T_c),V_b_2)) = hAPP(V_f2_2,V_b_2) ). % 153.46/153.42 % 153.46/153.42 fof(fact_Suml_Osimps,axiom, % 153.46/153.42 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Sum__Type_OSuml(T_c,T_b,T_d,V_f_2),hAPP(c_Sum__Type_OInl(T_c,T_d),V_x_2)) = hAPP(V_f_2,V_x_2) ). % 153.46/153.42 % 153.46/153.42 fof(fact_Sumr_Osimps,axiom, % 153.46/153.42 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Sum__Type_OSumr(T_c,T_b,T_d,V_f_2),hAPP(c_Sum__Type_OInr(T_c,T_d),V_x_2)) = hAPP(V_f_2,V_x_2) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__nat__0__less__iff,axiom, % 153.46/153.42 ! [V_na_2,T_b] : % 153.46/153.42 ( class_Rings_Olinordered__semidom(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_less__imp__Suc__add,axiom, % 153.46/153.42 ! [V_n,V_m] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.42 => ? [B_k] : V_n = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),B_k)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_less__imp__add__positive,axiom, % 153.46/153.42 ! [V_j,V_i] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 153.46/153.42 => ? [B_k] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_k)) % 153.46/153.42 & hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),B_k) = V_j ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_gr0__implies__Suc,axiom, % 153.46/153.42 ! [V_n] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.42 => ? [B_m] : V_n = hAPP(c_Nat_OSuc,B_m) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__nat__eq__iff,axiom, % 153.46/153.42 ! [V_na_2,V_m_2,T_b] : % 153.46/153.42 ( class_Nat_Osemiring__char__0(T_b) % 153.46/153.42 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2) % 153.46/153.42 <=> V_m_2 = V_na_2 ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_Sumr__inject,axiom, % 153.46/153.42 ! [V_g_2,V_f_2,T_b,T_d,T_c] : % 153.46/153.42 ( c_Sum__Type_OSumr(T_c,T_d,T_b,V_f_2) = c_Sum__Type_OSumr(T_c,T_d,T_b,V_g_2) % 153.46/153.42 => V_f_2 = V_g_2 ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_Suml__inject,axiom, % 153.46/153.42 ! [V_g_2,V_f_2,T_c,T_d,T_b] : % 153.46/153.42 ( c_Sum__Type_OSuml(T_b,T_d,T_c,V_f_2) = c_Sum__Type_OSuml(T_b,T_d,T_c,V_g_2) % 153.46/153.42 => V_f_2 = V_g_2 ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_int__0,axiom, % 153.46/153.42 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 153.46/153.42 % 153.46/153.42 fof(fact_int__eq__0__conv,axiom, % 153.46/153.42 ! [V_na_2] : % 153.46/153.42 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.42 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zless__iff__Suc__zadd,axiom, % 153.46/153.42 ! [V_z_2,V_w_2] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 153.46/153.42 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zless__int,axiom, % 153.46/153.42 ! [V_na_2,V_m_2] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zadd__int,axiom, % 153.46/153.42 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zadd__int__left,axiom, % 153.46/153.42 ! [V_z,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))),V_z) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zero__less__int__conv,axiom, % 153.46/153.42 ! [V_na_2] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__nat__less__0__iff,axiom, % 153.46/153.42 ! [V_m,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.42 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__nat__0,axiom, % 153.46/153.42 ! [T_a] : % 153.46/153.42 ( class_Rings_Osemiring__1(T_a) % 153.46/153.42 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__nat__less__iff,axiom, % 153.46/153.42 ! [V_na_2,V_m_2,T_b] : % 153.46/153.42 ( class_Rings_Olinordered__semidom(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_less__imp__of__nat__less,axiom, % 153.46/153.42 ! [V_n,V_m,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__nat__less__imp__less,axiom, % 153.46/153.42 ! [V_n,V_m,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__nat__add,axiom, % 153.46/153.42 ! [V_n,V_m,T_a] : % 153.46/153.42 ( class_Rings_Osemiring__1(T_a) % 153.46/153.42 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_lift__Suc__mono__less__iff,axiom, % 153.46/153.42 ! [V_m_2,V_na_2,V_f_2,T_b] : % 153.46/153.42 ( class_Orderings_Oorder(T_b) % 153.46/153.42 => ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n)))) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_na_2)),hAPP(V_f_2,V_m_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_lift__Suc__mono__less,axiom, % 153.46/153.42 ! [V_n_H_2,V_na_2,V_f_2,T_b] : % 153.46/153.42 ( class_Orderings_Oorder(T_b) % 153.46/153.42 => ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n)))) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_n_H_2)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_na_2)),hAPP(V_f_2,V_n_H_2))) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 153.46/153.42 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_y)) ). % 153.46/153.42 % 153.46/153.42 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 153.46/153.42 ! [V_y_2,V_x_2] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 153.46/153.42 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 153.46/153.42 % 153.46/153.42 fof(fact_evalc__elim__cases_I2_J,axiom, % 153.46/153.42 ! [V_t_2,V_s_2,V_a_2,V_X_2] : % 153.46/153.42 ( c_Natural_Oevalc(c_Com_Ocom_OAss(V_X_2,V_a_2),V_s_2,V_t_2) % 153.46/153.42 => V_t_2 = c_Natural_Oupdate(V_s_2,V_X_2,hAPP(V_a_2,V_s_2)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_evalc_OAssign,axiom, % 153.46/153.42 ! [V_s_2,V_a_2,V_X_2] : c_Natural_Oevalc(c_Com_Ocom_OAss(V_X_2,V_a_2),V_s_2,c_Natural_Oupdate(V_s_2,V_X_2,hAPP(V_a_2,V_s_2))) ). % 153.46/153.42 % 153.46/153.42 fof(fact_evaln_OAssign,axiom, % 153.46/153.42 ! [V_na_2,V_s_2,V_a_2,V_X_2] : c_Natural_Oevaln(c_Com_Ocom_OAss(V_X_2,V_a_2),V_s_2,V_na_2,c_Natural_Oupdate(V_s_2,V_X_2,hAPP(V_a_2,V_s_2))) ). % 153.46/153.42 % 153.46/153.42 fof(fact_evaln__elim__cases_I2_J,axiom, % 153.46/153.42 ! [V_t_2,V_na_2,V_s_2,V_a_2,V_X_2] : % 153.46/153.42 ( c_Natural_Oevaln(c_Com_Ocom_OAss(V_X_2,V_a_2),V_s_2,V_na_2,V_t_2) % 153.46/153.42 => V_t_2 = c_Natural_Oupdate(V_s_2,V_X_2,hAPP(V_a_2,V_s_2)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_linorder__cases,axiom, % 153.46/153.42 ! [V_y,V_x,T_a] : % 153.46/153.42 ( class_Orderings_Olinorder(T_a) % 153.46/153.42 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.42 => ( V_x != V_y % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_int__less__0__conv,axiom, % 153.46/153.42 ! [V_k] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 153.46/153.42 % 153.46/153.42 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 153.46/153.42 ! [V_y_2,V_x_2] : % 153.46/153.42 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2) % 153.46/153.42 <=> V_x_2 = V_y_2 ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_int__int__eq,axiom, % 153.46/153.42 ! [V_na_2,V_m_2] : % 153.46/153.42 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) % 153.46/153.42 <=> V_m_2 = V_na_2 ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zadd__0,axiom, % 153.46/153.42 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 153.46/153.42 % 153.46/153.42 fof(fact_zadd__0__right,axiom, % 153.46/153.42 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 153.46/153.42 % 153.46/153.42 fof(fact_zadd__commute,axiom, % 153.46/153.42 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zadd__left__commute,axiom, % 153.46/153.42 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_z)) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zadd__assoc,axiom, % 153.46/153.42 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z2),V_z3)) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zadd__strict__right__mono,axiom, % 153.46/153.42 ! [V_k,V_j,V_i] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_j),V_k))) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zless__linear,axiom, % 153.46/153.42 ! [V_y,V_x] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 153.46/153.42 | V_x = V_y % 153.46/153.42 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_evaln_Oequations_I2_J,axiom, % 153.46/153.42 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] : c_Natural_Oevaln(c_Com_Ocom_OAss(V_a1_2,V_a2_2),V_a3_2,V_a4_2,c_Natural_Oupdate(V_a3_2,V_a1_2,hAPP(V_a2_2,V_a3_2))) ). % 153.46/153.42 % 153.46/153.42 fof(fact_evalc_Oequations_I2_J,axiom, % 153.46/153.42 ! [V_a3_2,V_a2_2,V_a1_2] : c_Natural_Oevalc(c_Com_Ocom_OAss(V_a1_2,V_a2_2),V_a3_2,c_Natural_Oupdate(V_a3_2,V_a1_2,hAPP(V_a2_2,V_a3_2))) ). % 153.46/153.42 % 153.46/153.42 fof(fact_order__less__irrefl,axiom, % 153.46/153.42 ! [V_x,T_a] : % 153.46/153.42 ( class_Orderings_Opreorder(T_a) % 153.46/153.42 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_linorder__neq__iff,axiom, % 153.46/153.42 ! [V_y_2,V_x_2,T_b] : % 153.46/153.42 ( class_Orderings_Olinorder(T_b) % 153.46/153.42 => ( V_x_2 != V_y_2 % 153.46/153.42 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 153.46/153.42 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_not__less__iff__gr__or__eq,axiom, % 153.46/153.42 ! [V_y_2,V_x_2,T_b] : % 153.46/153.42 ( class_Orderings_Olinorder(T_b) % 153.46/153.42 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 153.46/153.42 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 153.46/153.42 | V_x_2 = V_y_2 ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_linorder__less__linear,axiom, % 153.46/153.42 ! [V_y,V_x,T_a] : % 153.46/153.42 ( class_Orderings_Olinorder(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.42 | V_x = V_y % 153.46/153.42 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_linorder__antisym__conv3,axiom, % 153.46/153.42 ! [V_x_2,V_y_2,T_b] : % 153.46/153.42 ( class_Orderings_Olinorder(T_b) % 153.46/153.42 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 153.46/153.42 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 153.46/153.42 <=> V_x_2 = V_y_2 ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_linorder__neqE,axiom, % 153.46/153.42 ! [V_y,V_x,T_a] : % 153.46/153.42 ( class_Orderings_Olinorder(T_a) % 153.46/153.42 => ( V_x != V_y % 153.46/153.42 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_less__imp__neq,axiom, % 153.46/153.42 ! [V_y,V_x,T_a] : % 153.46/153.42 ( class_Orderings_Oorder(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.42 => V_x != V_y ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_order__less__not__sym,axiom, % 153.46/153.42 ! [V_y,V_x,T_a] : % 153.46/153.42 ( class_Orderings_Opreorder(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.42 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_order__less__imp__not__less,axiom, % 153.46/153.42 ! [V_y,V_x,T_a] : % 153.46/153.42 ( class_Orderings_Opreorder(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.42 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_order__less__imp__not__eq,axiom, % 153.46/153.42 ! [V_y,V_x,T_a] : % 153.46/153.42 ( class_Orderings_Oorder(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.42 => V_x != V_y ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_order__less__imp__not__eq2,axiom, % 153.46/153.42 ! [V_y,V_x,T_a] : % 153.46/153.42 ( class_Orderings_Oorder(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.42 => V_y != V_x ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_order__less__asym_H,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Orderings_Opreorder(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.42 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_xt1_I9_J,axiom, % 153.46/153.42 ! [V_a,V_b,T_a] : % 153.46/153.42 ( class_Orderings_Oorder(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 153.46/153.42 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_ord__eq__less__trans,axiom, % 153.46/153.42 ! [V_c,V_b,V_a,T_a] : % 153.46/153.42 ( class_Orderings_Oord(T_a) % 153.46/153.42 => ( V_a = V_b % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_xt1_I1_J,axiom, % 153.46/153.42 ! [V_c,V_b,V_a,T_a] : % 153.46/153.42 ( class_Orderings_Oorder(T_a) % 153.46/153.42 => ( V_a = V_b % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_ord__less__eq__trans,axiom, % 153.46/153.42 ! [V_c,V_b,V_a,T_a] : % 153.46/153.42 ( class_Orderings_Oord(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.42 => ( V_b = V_c % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_xt1_I2_J,axiom, % 153.46/153.42 ! [V_c,V_a,V_b,T_a] : % 153.46/153.42 ( class_Orderings_Oorder(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 153.46/153.42 => ( V_b = V_c % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_order__less__trans,axiom, % 153.46/153.42 ! [V_z,V_y,V_x,T_a] : % 153.46/153.42 ( class_Orderings_Opreorder(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_xt1_I10_J,axiom, % 153.46/153.42 ! [V_z,V_x,V_y,T_a] : % 153.46/153.42 ( class_Orderings_Oorder(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_order__less__asym,axiom, % 153.46/153.42 ! [V_y,V_x,T_a] : % 153.46/153.42 ( class_Orderings_Opreorder(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.42 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zero__less__imp__eq__int,axiom, % 153.46/153.42 ! [V_k] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 153.46/153.42 => ? [B_n] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 153.46/153.42 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__int__less__0__iff,axiom, % 153.46/153.42 ! [V_z_2,T_b] : % 153.46/153.42 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__int__0__less__iff,axiom, % 153.46/153.42 ! [V_z_2,T_b] : % 153.46/153.42 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zmult__zless__mono2__lemma,axiom, % 153.46/153.42 ! [V_k,V_j,V_i] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_j))) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_negative__zless__0,axiom, % 153.46/153.42 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 153.46/153.42 % 153.46/153.42 fof(fact_split__nat,axiom, % 153.46/153.42 ! [V_i_2,V_Pa_2] : % 153.46/153.42 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2))) % 153.46/153.42 <=> ( ! [B_n] : % 153.46/153.42 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 153.46/153.42 => hBOOL(hAPP(V_Pa_2,B_n)) ) % 153.46/153.42 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.42 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zero__less__nat__eq,axiom, % 153.46/153.42 ! [V_z_2] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_negative__zless,axiom, % 153.46/153.42 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ). % 153.46/153.42 % 153.46/153.42 fof(fact_int__Suc,axiom, % 153.46/153.42 ! [V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) ). % 153.46/153.42 % 153.46/153.42 fof(fact_odd__less__0,axiom, % 153.46/153.42 ! [V_z_2] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)),V_z_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 153.46/153.42 ! [V_m,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),V_m) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 153.46/153.42 ! [V_a,V_m,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 153.46/153.42 ! [V_m,V_a,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_less__1__mult,axiom, % 153.46/153.42 ! [V_n,V_m,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n))) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_minus__mult__right,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Oring(T_a) % 153.46/153.42 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_minus__mult__left,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Oring(T_a) % 153.46/153.42 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_minus__mult__commute,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Oring(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_minus__mult__minus,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Oring(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_square__eq__1__iff,axiom, % 153.46/153.42 ! [V_x_2,T_b] : % 153.46/153.42 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 153.46/153.42 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 153.46/153.42 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b) % 153.46/153.42 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_square__eq__iff,axiom, % 153.46/153.42 ! [V_b_2,V_a_2,T_b] : % 153.46/153.42 ( class_Rings_Oidom(T_b) % 153.46/153.42 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_b_2) % 153.46/153.42 <=> ( V_a_2 = V_b_2 % 153.46/153.42 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_minus__minus,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Groups_Ogroup__add(T_a) % 153.46/153.42 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__1__left,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Groups_Omonoid__mult(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__1,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Groups_Ocomm__monoid__mult(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_one__reorient,axiom, % 153.46/153.42 ! [V_x_2,T_b] : % 153.46/153.42 ( class_Groups_Oone(T_b) % 153.46/153.42 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2 % 153.46/153.42 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__1__right,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Groups_Omonoid__mult(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult_Ocomm__neutral,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Groups_Ocomm__monoid__mult(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_equation__minus__iff,axiom, % 153.46/153.42 ! [V_b_2,V_a_2,T_b] : % 153.46/153.42 ( class_Groups_Ogroup__add(T_b) % 153.46/153.42 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 153.46/153.42 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_minus__equation__iff,axiom, % 153.46/153.42 ! [V_b_2,V_a_2,T_b] : % 153.46/153.42 ( class_Groups_Ogroup__add(T_b) % 153.46/153.42 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2 % 153.46/153.42 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_neg__equal__iff__equal,axiom, % 153.46/153.42 ! [V_b_2,V_a_2,T_b] : % 153.46/153.42 ( class_Groups_Ogroup__add(T_b) % 153.46/153.42 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 153.46/153.42 <=> V_a_2 = V_b_2 ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 153.46/153.42 ! [V_c,V_b,V_a,T_a] : % 153.46/153.42 ( class_Groups_Oab__semigroup__mult(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__int__1,axiom, % 153.46/153.42 ! [T_a] : % 153.46/153.42 ( class_Rings_Oring__1(T_a) % 153.46/153.42 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(T_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 153.46/153.42 ! [V_x,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__ring__1(T_a) % 153.46/153.42 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_x) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zminus__zminus,axiom, % 153.46/153.42 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__int__minus,axiom, % 153.46/153.42 ! [V_z,T_a] : % 153.46/153.42 ( class_Rings_Oring__1(T_a) % 153.46/153.42 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__int__mult,axiom, % 153.46/153.42 ! [V_z,V_w,T_a] : % 153.46/153.42 ( class_Rings_Oring__1(T_a) % 153.46/153.42 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zmult__1,axiom, % 153.46/153.42 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zmult__1__right,axiom, % 153.46/153.42 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zmult__commute,axiom, % 153.46/153.42 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 153.46/153.42 ! [V_ry,V_rx,V_lx,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 153.46/153.42 ! [V_ry,V_rx,V_lx,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zmult__zminus,axiom, % 153.46/153.42 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_w) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__int__eq__iff,axiom, % 153.46/153.42 ! [V_z_2,V_w_2,T_b] : % 153.46/153.42 ( class_Int_Oring__char__0(T_b) % 153.46/153.42 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 153.46/153.42 <=> V_w_2 = V_z_2 ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 153.46/153.42 ! [V_rx,V_ly,V_lx,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zmult__assoc,axiom, % 153.46/153.42 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3)) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 153.46/153.42 ! [V_rx,V_ly,V_lx,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 153.46/153.42 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 153.46/153.42 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 153.46/153.42 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__nat__mult,axiom, % 153.46/153.42 ! [V_n,V_m,T_a] : % 153.46/153.42 ( class_Rings_Osemiring__1(T_a) % 153.46/153.42 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__nat__1,axiom, % 153.46/153.42 ! [T_a] : % 153.46/153.42 ( class_Rings_Osemiring__1(T_a) % 153.46/153.42 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__int__of__nat,axiom, % 153.46/153.42 ! [V_k,T_a] : % 153.46/153.42 ( class_Rings_Oring__1(T_a) % 153.46/153.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.42 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)))) ) % 153.46/153.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.42 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_k)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_nat__zminus__int,axiom, % 153.46/153.42 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.42 % 153.46/153.42 fof(fact_nat__1,axiom, % 153.46/153.42 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 153.46/153.42 % 153.46/153.42 fof(fact_pos__zmult__eq__1__iff,axiom, % 153.46/153.42 ! [V_na_2,V_m_2] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 153.46/153.42 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 153.46/153.42 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 153.46/153.42 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_neg__equal__zero,axiom, % 153.46/153.42 ! [V_a_2,T_b] : % 153.46/153.42 ( class_Groups_Olinordered__ab__group__add(T_b) % 153.46/153.42 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2 % 153.46/153.42 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_neg__equal__0__iff__equal,axiom, % 153.46/153.42 ! [V_a_2,T_b] : % 153.46/153.42 ( class_Groups_Ogroup__add(T_b) % 153.46/153.42 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.42 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_equal__neg__zero,axiom, % 153.46/153.42 ! [V_a_2,T_b] : % 153.46/153.42 ( class_Groups_Olinordered__ab__group__add(T_b) % 153.46/153.42 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 153.46/153.42 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_neg__0__equal__iff__equal,axiom, % 153.46/153.42 ! [V_a_2,T_b] : % 153.46/153.42 ( class_Groups_Ogroup__add(T_b) % 153.46/153.42 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 153.46/153.42 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_minus__zero,axiom, % 153.46/153.42 ! [T_a] : % 153.46/153.42 ( class_Groups_Ogroup__add(T_a) % 153.46/153.42 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_less__minus__iff,axiom, % 153.46/153.42 ! [V_b_2,V_a_2,T_b] : % 153.46/153.42 ( class_Groups_Oordered__ab__group__add(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_minus__less__iff,axiom, % 153.46/153.42 ! [V_b_2,V_a_2,T_b] : % 153.46/153.42 ( class_Groups_Oordered__ab__group__add(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_neg__less__iff__less,axiom, % 153.46/153.42 ! [V_a_2,V_b_2,T_b] : % 153.46/153.42 ( class_Groups_Oordered__ab__group__add(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_minus__add__distrib,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Groups_Oab__group__add(T_a) % 153.46/153.42 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_minus__add,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Groups_Ogroup__add(T_a) % 153.46/153.42 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_add__minus__cancel,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Groups_Ogroup__add(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) = V_b ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_minus__add__cancel,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Groups_Ogroup__add(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = V_b ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_divisors__zero,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Ono__zero__divisors(T_a) % 153.46/153.42 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.42 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.42 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_no__zero__divisors,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Ono__zero__divisors(T_a) % 153.46/153.42 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.42 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__eq__0__iff,axiom, % 153.46/153.42 ! [V_b_2,V_a_2,T_b] : % 153.46/153.42 ( class_Rings_Oring__no__zero__divisors(T_b) % 153.46/153.42 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.42 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.42 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__zero__right,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Rings_Omult__zero(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__zero__left,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Rings_Omult__zero(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zero__neq__one,axiom, % 153.46/153.42 ! [T_a] : % 153.46/153.42 ( class_Rings_Ozero__neq__one(T_a) % 153.46/153.42 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_one__neq__zero,axiom, % 153.46/153.42 ! [T_a] : % 153.46/153.42 ( class_Rings_Ozero__neq__one(T_a) % 153.46/153.42 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zminus__0,axiom, % 153.46/153.42 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 153.46/153.42 % 153.46/153.42 fof(fact_nat__int,axiom, % 153.46/153.42 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 153.46/153.42 % 153.46/153.42 fof(fact_crossproduct__eq,axiom, % 153.46/153.42 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] : % 153.46/153.42 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 153.46/153.42 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_y_2)) % 153.46/153.42 <=> ( V_w_2 = V_x_2 % 153.46/153.42 | V_y_2 = V_z_2 ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 153.46/153.42 ! [V_b,V_m,V_a,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_m) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 153.46/153.42 ! [V_c,V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_crossproduct__noteq,axiom, % 153.46/153.42 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.46/153.42 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 153.46/153.42 => ( ( V_a_2 != V_b_2 % 153.46/153.42 & V_c_2 != V_d_2 ) % 153.46/153.42 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 153.46/153.42 ! [V_z,V_y,V_x,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_combine__common__factor,axiom, % 153.46/153.42 ! [V_c,V_b,V_e,V_a,T_a] : % 153.46/153.42 ( class_Rings_Osemiring(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e)),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__semiring__class_Odistrib,axiom, % 153.46/153.42 ! [V_c,V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Ocomm__semiring(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zminus__zadd__distrib,axiom, % 153.46/153.42 ! [V_w,V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zadd__zmult__distrib,axiom, % 153.46/153.42 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zadd__zmult__distrib2,axiom, % 153.46/153.42 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ). % 153.46/153.42 % 153.46/153.42 fof(fact_int__0__neq__1,axiom, % 153.46/153.42 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__int__int__eq,axiom, % 153.46/153.42 ! [V_n] : hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n) ). % 153.46/153.42 % 153.46/153.42 fof(fact_one__less__nat__eq,axiom, % 153.46/153.42 ! [V_z_2] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onat,V_z_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_neg__0__less__iff__less,axiom, % 153.46/153.42 ! [V_a_2,T_b] : % 153.46/153.42 ( class_Groups_Oordered__ab__group__add(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_neg__less__0__iff__less,axiom, % 153.46/153.42 ! [V_a_2,T_b] : % 153.46/153.42 ( class_Groups_Oordered__ab__group__add(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_neg__less__nonneg,axiom, % 153.46/153.42 ! [V_a_2,T_b] : % 153.46/153.42 ( class_Groups_Olinordered__ab__group__add(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_less__minus__self__iff,axiom, % 153.46/153.42 ! [V_a_2,T_b] : % 153.46/153.42 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_right__minus,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Groups_Ogroup__add(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_eq__neg__iff__add__eq__0,axiom, % 153.46/153.42 ! [V_b_2,V_a_2,T_b] : % 153.46/153.42 ( class_Groups_Ogroup__add(T_b) % 153.46/153.42 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 153.46/153.42 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_left__minus,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Groups_Ogroup__add(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_ab__left__minus,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Groups_Oab__group__add(T_a) % 153.46/153.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_minus__unique,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Groups_Ogroup__add(T_a) % 153.46/153.42 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.42 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_nat__0,axiom, % 153.46/153.42 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.42 % 153.46/153.42 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 153.46/153.42 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__strict__left__mono__neg,axiom, % 153.46/153.42 ! [V_c,V_a,V_b,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__ring__strict(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__strict__right__mono__neg,axiom, % 153.46/153.42 ! [V_c,V_a,V_b,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__ring__strict(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_comm__mult__strict__left__mono,axiom, % 153.46/153.42 ! [V_c,V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__strict__left__mono,axiom, % 153.46/153.42 ! [V_c,V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__strict__right__mono,axiom, % 153.46/153.42 ! [V_c,V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__neg__neg,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__ring__strict(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__neg__pos,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__less__cancel__left__neg,axiom, % 153.46/153.42 ! [V_b_2,V_a_2,V_c_2,T_b] : % 153.46/153.42 ( class_Rings_Olinordered__ring__strict(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zero__less__mult__pos2,axiom, % 153.46/153.42 ! [V_a,V_b,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zero__less__mult__pos,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__pos__neg2,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__pos__neg,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__pos__pos,axiom, % 153.46/153.42 ! [V_b,V_a,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__less__cancel__left__pos,axiom, % 153.46/153.42 ! [V_b_2,V_a_2,V_c_2,T_b] : % 153.46/153.42 ( class_Rings_Olinordered__ring__strict(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__less__cancel__left__disj,axiom, % 153.46/153.42 ! [V_b_2,V_a_2,V_c_2,T_b] : % 153.46/153.42 ( class_Rings_Olinordered__ring__strict(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 153.46/153.42 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.42 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 153.46/153.42 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.42 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_mult__less__cancel__right__disj,axiom, % 153.46/153.42 ! [V_b_2,V_c_2,V_a_2,T_b] : % 153.46/153.42 ( class_Rings_Olinordered__ring__strict(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2))) % 153.46/153.42 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.42 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 153.46/153.42 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.42 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_not__square__less__zero,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__ring(T_a) % 153.46/153.42 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zero__less__one,axiom, % 153.46/153.42 ! [T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_not__one__less__zero,axiom, % 153.46/153.42 ! [T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.42 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_add__scale__eq__noteq,axiom, % 153.46/153.42 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 153.46/153.42 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 153.46/153.42 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.42 => ( ( V_a = V_b % 153.46/153.42 & V_c != V_d ) % 153.46/153.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_sum__squares__eq__zero__iff,axiom, % 153.46/153.42 ! [V_y_2,V_x_2,T_b] : % 153.46/153.42 ( class_Rings_Olinordered__ring__strict(T_b) % 153.46/153.42 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.42 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.42 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_less__add__one,axiom, % 153.46/153.42 ! [V_a,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zadd__zminus__inverse2,axiom, % 153.46/153.42 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_z) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 153.46/153.42 % 153.46/153.42 fof(fact_negative__eq__positive,axiom, % 153.46/153.42 ! [V_m_2,V_na_2] : % 153.46/153.42 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) % 153.46/153.42 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.42 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_not__int__zless__negative,axiom, % 153.46/153.42 ! [V_m,V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)))) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zmult__zless__mono2,axiom, % 153.46/153.42 ! [V_k,V_j,V_i] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j))) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_int__0__less__1,axiom, % 153.46/153.42 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 153.46/153.42 % 153.46/153.42 fof(fact_odd__nonzero,axiom, % 153.46/153.42 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)),V_z) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zless__add1__eq,axiom, % 153.46/153.42 ! [V_z_2,V_w_2] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) % 153.46/153.42 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 153.46/153.42 | V_w_2 = V_z_2 ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__int__eq__0__iff,axiom, % 153.46/153.42 ! [V_z_2,T_b] : % 153.46/153.42 ( class_Int_Oring__char__0(T_b) % 153.46/153.42 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.42 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__int__0__eq__iff,axiom, % 153.46/153.42 ! [V_z_2,T_b] : % 153.46/153.42 ( class_Int_Oring__char__0(T_b) % 153.46/153.42 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 153.46/153.42 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__int__0,axiom, % 153.46/153.42 ! [T_a] : % 153.46/153.42 ( class_Rings_Oring__1(T_a) % 153.46/153.42 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__int__less__iff,axiom, % 153.46/153.42 ! [V_z_2,V_w_2,T_b] : % 153.46/153.42 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__int__add,axiom, % 153.46/153.42 ! [V_z,V_w,T_a] : % 153.46/153.42 ( class_Rings_Oring__1(T_a) % 153.46/153.42 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__int__of__nat__eq,axiom, % 153.46/153.42 ! [V_n,T_a] : % 153.46/153.42 ( class_Rings_Oring__1(T_a) % 153.46/153.42 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zless__nat__conj,axiom, % 153.46/153.42 ! [V_z_2,V_w_2] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2))) % 153.46/153.42 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 153.46/153.42 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_nat__mono__iff,axiom, % 153.46/153.42 ! [V_w_2,V_z_2] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zless__nat__eq__int__zless,axiom, % 153.46/153.42 ! [V_z_2,V_m_2] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 153.46/153.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_not__sum__squares__lt__zero,axiom, % 153.46/153.42 ! [V_y,V_x,T_a] : % 153.46/153.42 ( class_Rings_Olinordered__ring(T_a) % 153.46/153.42 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y))),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_sum__squares__gt__zero__iff,axiom, % 153.46/153.42 ! [V_y_2,V_x_2,T_b] : % 153.46/153.42 ( class_Rings_Olinordered__ring__strict(T_b) % 153.46/153.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)))) % 153.46/153.42 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.42 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_zero__less__two,axiom, % 153.46/153.42 ! [T_a] : % 153.46/153.42 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_of__nat__Suc,axiom, % 153.46/153.42 ! [V_m,T_a] : % 153.46/153.42 ( class_Rings_Osemiring__1(T_a) % 153.46/153.42 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_int__Suc0__eq__1,axiom, % 153.46/153.42 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 153.46/153.42 % 153.46/153.42 fof(fact_nat__aux__def,axiom, % 153.46/153.42 ! [V_n,V_i] : c_Int_Onat__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_i)),V_n) ). % 153.46/153.42 % 153.46/153.42 fof(fact_negD,axiom, % 153.46/153.42 ! [V_x] : % 153.46/153.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.42 => ? [B_n] : V_x = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ). % 153.46/153.42 % 153.46/153.42 fof(fact_sgn__if,axiom, % 153.46/153.42 ! [V_x,T_a] : % 153.46/153.42 ( class_Groups_Osgn__if(T_a) % 153.46/153.42 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.42 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 153.46/153.42 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 153.46/153.42 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 153.46/153.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 153.46/153.43 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_sgn__1__neg,axiom, % 153.46/153.43 ! [V_a_2,T_b] : % 153.46/153.43 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.43 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_sgn__neg,axiom, % 153.46/153.43 ! [V_a,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zsgn__def,axiom, % 153.46/153.43 ! [V_i] : % 153.46/153.43 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.43 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 153.46/153.43 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.43 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 153.46/153.43 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 153.46/153.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 153.46/153.43 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 153.46/153.43 ! [V_z] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 153.46/153.43 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__less__iff,axiom, % 153.46/153.43 ! [V_m_2,V_w_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_convex__bound__lt,axiom, % 153.46/153.43 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 153.46/153.43 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_sgn__pos,axiom, % 153.46/153.43 ! [V_a,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_order__refl,axiom, % 153.46/153.43 ! [V_x,T_a] : % 153.46/153.43 ( class_Orderings_Opreorder(T_a) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le0,axiom, % 153.46/153.43 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_negative__zle,axiom, % 153.46/153.43 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__square,axiom, % 153.46/153.43 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__cube,axiom, % 153.46/153.43 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)))) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__mult__1,axiom, % 153.46/153.43 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__1__eq__mult__iff,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) % 153.46/153.43 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 153.46/153.43 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__mult__1__right,axiom, % 153.46/153.43 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__mult__commute,axiom, % 153.46/153.43 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__mult__eq__1__iff,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 153.46/153.43 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 153.46/153.43 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__mult__assoc,axiom, % 153.46/153.43 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__le__mono1,axiom, % 153.46/153.43 ! [V_k,V_j,V_i] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__le__mono2,axiom, % 153.46/153.43 ! [V_k,V_j,V_i] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__le__mono,axiom, % 153.46/153.43 ! [V_l,V_k,V_j,V_i] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__eq__self__implies__10,axiom, % 153.46/153.43 ! [V_n,V_m] : % 153.46/153.43 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 153.46/153.43 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 153.46/153.43 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Suc__mult__le__cancel1,axiom, % 153.46/153.43 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_na_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zle__antisym,axiom, % 153.46/153.43 ! [V_w,V_z] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 153.46/153.43 => V_z = V_w ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zle__trans,axiom, % 153.46/153.43 ! [V_k,V_j,V_i] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zle__linear,axiom, % 153.46/153.43 ! [V_w,V_z] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 153.46/153.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zle__refl,axiom, % 153.46/153.43 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_sgn__sgn,axiom, % 153.46/153.43 ! [V_a,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.43 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Osgn__class_Osgn(T_a,V_a)) = c_Groups_Osgn__class_Osgn(T_a,V_a) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_linorder__le__cases,axiom, % 153.46/153.43 ! [V_y,V_x,T_a] : % 153.46/153.43 ( class_Orderings_Olinorder(T_a) % 153.46/153.43 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__funE,axiom, % 153.46/153.43 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 153.46/153.43 ( class_Orderings_Oord(T_c) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_xt1_I6_J,axiom, % 153.46/153.43 ! [V_z,V_x,V_y,T_a] : % 153.46/153.43 ( class_Orderings_Oorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_xt1_I5_J,axiom, % 153.46/153.43 ! [V_x,V_y,T_a] : % 153.46/153.43 ( class_Orderings_Oorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.46/153.43 => V_x = V_y ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_order__trans,axiom, % 153.46/153.43 ! [V_z,V_y,V_x,T_a] : % 153.46/153.43 ( class_Orderings_Opreorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_order__antisym,axiom, % 153.46/153.43 ! [V_y,V_x,T_a] : % 153.46/153.43 ( class_Orderings_Oorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 153.46/153.43 => V_x = V_y ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_xt1_I4_J,axiom, % 153.46/153.43 ! [V_c,V_a,V_b,T_a] : % 153.46/153.43 ( class_Orderings_Oorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 153.46/153.43 => ( V_b = V_c % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_ord__le__eq__trans,axiom, % 153.46/153.43 ! [V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Orderings_Oord(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.43 => ( V_b = V_c % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_xt1_I3_J,axiom, % 153.46/153.43 ! [V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Orderings_Oorder(T_a) % 153.46/153.43 => ( V_a = V_b % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_ord__eq__le__trans,axiom, % 153.46/153.43 ! [V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Orderings_Oord(T_a) % 153.46/153.43 => ( V_a = V_b % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_order__antisym__conv,axiom, % 153.46/153.43 ! [V_x_2,V_y_2,T_b] : % 153.46/153.43 ( class_Orderings_Oorder(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.46/153.43 <=> V_x_2 = V_y_2 ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__funD,axiom, % 153.46/153.43 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 153.46/153.43 ( class_Orderings_Oord(T_c) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_order__eq__refl,axiom, % 153.46/153.43 ! [V_y,V_x,T_a] : % 153.46/153.43 ( class_Orderings_Opreorder(T_a) % 153.46/153.43 => ( V_x = V_y % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_order__eq__iff,axiom, % 153.46/153.43 ! [V_y_2,V_x_2,T_b] : % 153.46/153.43 ( class_Orderings_Oorder(T_b) % 153.46/153.43 => ( V_x_2 = V_y_2 % 153.46/153.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.46/153.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_linorder__linear,axiom, % 153.46/153.43 ! [V_y,V_x,T_a] : % 153.46/153.43 ( class_Orderings_Olinorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.46/153.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__fun__def,axiom, % 153.46/153.43 ! [V_g_2,V_f_2,T_b,T_c] : % 153.46/153.43 ( class_Orderings_Oord(T_c) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 153.46/153.43 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_of__nat__le__iff,axiom, % 153.46/153.43 ! [V_na_2,V_m_2,T_b] : % 153.46/153.43 ( class_Rings_Olinordered__semidom(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 153.46/153.43 ! [V_y_2,V_x_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zle__int,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_of__int__le__iff,axiom, % 153.46/153.43 ! [V_z_2,V_w_2,T_b] : % 153.46/153.43 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_one__le__mult__iff,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2))) % 153.46/153.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m_2)) % 153.46/153.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_na_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__le__cancel2,axiom, % 153.46/153.43 ! [V_na_2,V_k_2,V_m_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_k_2))) % 153.46/153.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__le__cancel1,axiom, % 153.46/153.43 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2))) % 153.46/153.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 153.46/153.43 ! [V_y_2,V_x_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_linorder__not__less,axiom, % 153.46/153.43 ! [V_y_2,V_x_2,T_b] : % 153.46/153.43 ( class_Orderings_Olinorder(T_b) % 153.46/153.43 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_linorder__not__le,axiom, % 153.46/153.43 ! [V_y_2,V_x_2,T_b] : % 153.46/153.43 ( class_Orderings_Olinorder(T_b) % 153.46/153.43 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_linorder__le__less__linear,axiom, % 153.46/153.43 ! [V_y,V_x,T_a] : % 153.46/153.43 ( class_Orderings_Olinorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.46/153.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_order__less__le,axiom, % 153.46/153.43 ! [V_y_2,V_x_2,T_b] : % 153.46/153.43 ( class_Orderings_Oorder(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 153.46/153.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.46/153.43 & V_x_2 != V_y_2 ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_less__le__not__le,axiom, % 153.46/153.43 ! [V_y_2,V_x_2,T_b] : % 153.46/153.43 ( class_Orderings_Opreorder(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 153.46/153.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.46/153.43 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_order__le__less,axiom, % 153.46/153.43 ! [V_y_2,V_x_2,T_b] : % 153.46/153.43 ( class_Orderings_Oorder(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.46/153.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 153.46/153.43 | V_x_2 = V_y_2 ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_leI,axiom, % 153.46/153.43 ! [V_y,V_x,T_a] : % 153.46/153.43 ( class_Orderings_Olinorder(T_a) % 153.46/153.43 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_not__leE,axiom, % 153.46/153.43 ! [V_x,V_y,T_a] : % 153.46/153.43 ( class_Orderings_Olinorder(T_a) % 153.46/153.43 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_linorder__antisym__conv1,axiom, % 153.46/153.43 ! [V_y_2,V_x_2,T_b] : % 153.46/153.43 ( class_Orderings_Olinorder(T_b) % 153.46/153.43 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.46/153.43 <=> V_x_2 = V_y_2 ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_order__neq__le__trans,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Orderings_Oorder(T_a) % 153.46/153.43 => ( V_a != V_b % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_xt1_I12_J,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Orderings_Oorder(T_a) % 153.46/153.43 => ( V_a != V_b % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_leD,axiom, % 153.46/153.43 ! [V_x,V_y,T_a] : % 153.46/153.43 ( class_Orderings_Olinorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 153.46/153.43 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_order__less__imp__le,axiom, % 153.46/153.43 ! [V_y,V_x,T_a] : % 153.46/153.43 ( class_Orderings_Opreorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_linorder__antisym__conv2,axiom, % 153.46/153.43 ! [V_y_2,V_x_2,T_b] : % 153.46/153.43 ( class_Orderings_Olinorder(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.46/153.43 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 153.46/153.43 <=> V_x_2 = V_y_2 ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_order__le__imp__less__or__eq,axiom, % 153.46/153.43 ! [V_y,V_x,T_a] : % 153.46/153.43 ( class_Orderings_Oorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.43 | V_x = V_y ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_order__le__neq__trans,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Orderings_Oorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.43 => ( V_a != V_b % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_xt1_I11_J,axiom, % 153.46/153.43 ! [V_a,V_b,T_a] : % 153.46/153.43 ( class_Orderings_Oorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 153.46/153.43 => ( V_a != V_b % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_order__less__le__trans,axiom, % 153.46/153.43 ! [V_z,V_y,V_x,T_a] : % 153.46/153.43 ( class_Orderings_Opreorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_xt1_I7_J,axiom, % 153.46/153.43 ! [V_z,V_x,V_y,T_a] : % 153.46/153.43 ( class_Orderings_Oorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_order__le__less__trans,axiom, % 153.46/153.43 ! [V_z,V_y,V_x,T_a] : % 153.46/153.43 ( class_Orderings_Opreorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_xt1_I8_J,axiom, % 153.46/153.43 ! [V_z,V_x,V_y,T_a] : % 153.46/153.43 ( class_Orderings_Oorder(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__le__imp__le__left,axiom, % 153.46/153.43 ! [V_b,V_a,V_c,T_a] : % 153.46/153.43 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__le__imp__le__right,axiom, % 153.46/153.43 ! [V_b,V_c,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__mono,axiom, % 153.46/153.43 ! [V_d,V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__left__mono,axiom, % 153.46/153.43 ! [V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__right__mono,axiom, % 153.46/153.43 ! [V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__le__cancel__left,axiom, % 153.46/153.43 ! [V_b_2,V_a_2,V_c_2,T_b] : % 153.46/153.43 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__le__cancel__right,axiom, % 153.46/153.43 ! [V_b_2,V_c_2,V_a_2,T_b] : % 153.46/153.43 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__cancel2,axiom, % 153.46/153.43 ! [V_na_2,V_k_2,V_m_2] : % 153.46/153.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_k_2) % 153.46/153.43 <=> ( V_m_2 = V_na_2 % 153.46/153.43 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__cancel1,axiom, % 153.46/153.43 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2) % 153.46/153.43 <=> ( V_m_2 = V_na_2 % 153.46/153.43 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__is__0,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.43 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.43 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__0__right,axiom, % 153.46/153.43 ! [V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__0,axiom, % 153.46/153.43 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Suc__mult__cancel1,axiom, % 153.46/153.43 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_na_2) % 153.46/153.43 <=> V_m_2 = V_na_2 ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__0__eq,axiom, % 153.46/153.43 ! [V_na_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 153.46/153.43 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 153.46/153.43 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__imp__neg__le,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__ab__group__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_neg__le__iff__le,axiom, % 153.46/153.43 ! [V_a_2,V_b_2,T_b] : % 153.46/153.43 ( class_Groups_Oordered__ab__group__add(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_minus__le__iff,axiom, % 153.46/153.43 ! [V_b_2,V_a_2,T_b] : % 153.46/153.43 ( class_Groups_Oordered__ab__group__add(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__minus__iff,axiom, % 153.46/153.43 ! [V_b_2,V_a_2,T_b] : % 153.46/153.43 ( class_Groups_Oordered__ab__group__add(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__mult__distrib,axiom, % 153.46/153.43 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__mult__distrib2,axiom, % 153.46/153.43 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Suc__leD,axiom, % 153.46/153.43 ! [V_n,V_m] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__SucE,axiom, % 153.46/153.43 ! [V_n,V_m] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 153.46/153.43 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 153.46/153.43 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__SucI,axiom, % 153.46/153.43 ! [V_n,V_m] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Suc__le__mono,axiom, % 153.46/153.43 ! [V_m_2,V_na_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Nat_OSuc,V_m_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__Suc__eq,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 153.46/153.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.46/153.43 | V_m_2 = hAPP(c_Nat_OSuc,V_na_2) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_not__less__eq__eq,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Suc__n__not__le__n,axiom, % 153.46/153.43 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 153.46/153.43 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 153.46/153.43 % 153.46/153.43 fof(fact_termination__basic__simps_I5_J,axiom, % 153.46/153.43 ! [V_y,V_x] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_less__or__eq__imp__le,axiom, % 153.46/153.43 ! [V_n,V_m] : % 153.46/153.43 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.43 | V_m = V_n ) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__neq__implies__less,axiom, % 153.46/153.43 ! [V_n,V_m] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 153.46/153.43 => ( V_m != V_n % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_less__imp__le__nat,axiom, % 153.46/153.43 ! [V_n,V_m] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__eq__less__or__eq,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.46/153.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 153.46/153.43 | V_m_2 = V_na_2 ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__less__le,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 153.46/153.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.46/153.43 & V_m_2 != V_na_2 ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_termination__basic__simps_I3_J,axiom, % 153.46/153.43 ! [V_z,V_y,V_x] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_termination__basic__simps_I4_J,axiom, % 153.46/153.43 ! [V_y,V_z,V_x] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__leE,axiom, % 153.46/153.43 ! [V_n,V_k,V_m] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n)) % 153.46/153.43 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 153.46/153.43 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__leD1,axiom, % 153.46/153.43 ! [V_n,V_k,V_m] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__leD2,axiom, % 153.46/153.43 ! [V_n,V_k,V_m] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__le__mono,axiom, % 153.46/153.43 ! [V_l,V_k,V_j,V_i] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__le__mono1,axiom, % 153.46/153.43 ! [V_k,V_j,V_i] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_trans__le__add2,axiom, % 153.46/153.43 ! [V_m,V_j,V_i] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_trans__le__add1,axiom, % 153.46/153.43 ! [V_m,V_j,V_i] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__add__left__cancel__le,axiom, % 153.46/153.43 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__iff__add,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.46/153.43 <=> ? [B_k] : V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__add1,axiom, % 153.46/153.43 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m))) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__add2,axiom, % 153.46/153.43 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zless__le,axiom, % 153.46/153.43 ! [V_w_2,V_z_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 153.46/153.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 153.46/153.43 & V_z_2 != V_w_2 ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zadd__left__mono,axiom, % 153.46/153.43 ! [V_k,V_j,V_i] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_i)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_j))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_evaln__nonstrict,axiom, % 153.46/153.43 ! [V_m,V_t,V_n,V_s,V_c] : % 153.46/153.43 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 153.46/153.43 => c_Natural_Oevaln(V_c,V_s,V_m,V_t) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__le__eq__zle,axiom, % 153.46/153.43 ! [V_z_2,V_w_2] : % 153.46/153.43 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 153.46/153.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 153.46/153.43 ! [V_y,V_x] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 153.46/153.43 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__mult__distrib,axiom, % 153.46/153.43 ! [V_z_H,V_z] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 153.46/153.43 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_of__int__le__0__iff,axiom, % 153.46/153.43 ! [V_z_2,T_b] : % 153.46/153.43 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_of__int__0__le__iff,axiom, % 153.46/153.43 ! [V_z_2,T_b] : % 153.46/153.43 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_sgn__0__0,axiom, % 153.46/153.43 ! [V_a_2,T_b] : % 153.46/153.43 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.43 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.43 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_sgn0,axiom, % 153.46/153.43 ! [T_a] : % 153.46/153.43 ( class_Groups_Osgn__if(T_a) % 153.46/153.43 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_sgn__times,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.43 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a)),c_Groups_Osgn__class_Osgn(T_a,V_b)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__mult__distrib__neg,axiom, % 153.46/153.43 ! [V_z_H,V_z] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.43 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z))),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_H))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__nonpos__nonpos,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__increasing2,axiom, % 153.46/153.43 ! [V_a,V_b,V_c,T_a] : % 153.46/153.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__increasing,axiom, % 153.46/153.43 ! [V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__nonneg__eq__0__iff,axiom, % 153.46/153.43 ! [V_y_2,V_x_2,T_b] : % 153.46/153.43 ( class_Groups_Oordered__comm__monoid__add(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2)) % 153.46/153.43 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.43 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.43 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__nonneg__nonneg,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 153.46/153.43 ! [V_a_2,T_b] : % 153.46/153.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 153.46/153.43 ! [V_a_2,T_b] : % 153.46/153.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zero__le__square,axiom, % 153.46/153.43 ! [V_a,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__ring(T_a) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zero__le__mult__iff,axiom, % 153.46/153.43 ! [V_b_2,V_a_2,T_b] : % 153.46/153.43 ( class_Rings_Olinordered__ring__strict(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2))) % 153.46/153.43 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 153.46/153.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 153.46/153.43 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__le__0__iff,axiom, % 153.46/153.43 ! [V_b_2,V_a_2,T_b] : % 153.46/153.43 ( class_Rings_Olinordered__ring__strict(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.43 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 153.46/153.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 153.46/153.43 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__nonneg__nonneg,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Oordered__cancel__semiring(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__nonneg__nonpos,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Oordered__cancel__semiring(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__nonneg__nonpos2,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Oordered__cancel__semiring(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__nonpos__nonneg,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Oordered__cancel__semiring(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__nonpos__nonpos,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Oordered__ring(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__right__mono,axiom, % 153.46/153.43 ! [V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Oordered__semiring(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__left__mono,axiom, % 153.46/153.43 ! [V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Oordered__semiring(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_comm__mult__left__mono,axiom, % 153.46/153.43 ! [V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Oordered__comm__semiring(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__right__mono__neg,axiom, % 153.46/153.43 ! [V_c,V_a,V_b,T_a] : % 153.46/153.43 ( class_Rings_Oordered__ring(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__left__mono__neg,axiom, % 153.46/153.43 ! [V_c,V_a,V_b,T_a] : % 153.46/153.43 ( class_Rings_Oordered__ring(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__mono_H,axiom, % 153.46/153.43 ! [V_d,V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Oordered__semiring(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__mono,axiom, % 153.46/153.43 ! [V_d,V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Oordered__semiring(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_split__mult__pos__le,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Oordered__ring(T_a) % 153.46/153.43 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 153.46/153.43 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_split__mult__neg__le,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Oordered__cancel__semiring(T_a) % 153.46/153.43 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 153.46/153.43 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__le__less__mono,axiom, % 153.46/153.43 ! [V_d,V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__less__le__mono,axiom, % 153.46/153.43 ! [V_d,V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_not__one__le__zero,axiom, % 153.46/153.43 ! [T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.43 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zero__le__one,axiom, % 153.46/153.43 ! [T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_minus__le__self__iff,axiom, % 153.46/153.43 ! [V_a_2,T_b] : % 153.46/153.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_neg__le__0__iff__le,axiom, % 153.46/153.43 ! [V_a_2,T_b] : % 153.46/153.43 ( class_Groups_Oordered__ab__group__add(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__minus__self__iff,axiom, % 153.46/153.43 ! [V_a_2,T_b] : % 153.46/153.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_neg__0__le__iff__le,axiom, % 153.46/153.43 ! [V_a_2,T_b] : % 153.46/153.43 ( class_Groups_Oordered__ab__group__add(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__eq__1__iff,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 153.46/153.43 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 153.46/153.43 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_of__nat__0__le__iff,axiom, % 153.46/153.43 ! [V_n,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zero__le__imp__of__nat,axiom, % 153.46/153.43 ! [V_m,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__less__mono2,axiom, % 153.46/153.43 ! [V_k,V_j,V_i] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__less__mono1,axiom, % 153.46/153.43 ! [V_k,V_j,V_i] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__less__cancel2,axiom, % 153.46/153.43 ! [V_na_2,V_k_2,V_m_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_k_2))) % 153.46/153.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 153.46/153.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__less__cancel1,axiom, % 153.46/153.43 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2))) % 153.46/153.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 153.46/153.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__0__less__mult__iff,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2))) % 153.46/153.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 153.46/153.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Suc__mult__less__cancel1,axiom, % 153.46/153.43 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_na_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__Suc__right,axiom, % 153.46/153.43 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__Suc,axiom, % 153.46/153.43 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_One__nat__def,axiom, % 153.46/153.43 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_less__eq__Suc__le,axiom, % 153.46/153.43 ! [V_m_2,V_na_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_less__Suc__eq__le,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Suc__le__eq,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2)) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__imp__less__Suc,axiom, % 153.46/153.43 ! [V_n,V_m] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Suc__leI,axiom, % 153.46/153.43 ! [V_n,V_m] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__less__Suc__eq,axiom, % 153.46/153.43 ! [V_na_2,V_m_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) % 153.46/153.43 <=> V_na_2 = V_m_2 ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Suc__le__lessD,axiom, % 153.46/153.43 ! [V_n,V_m] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Suc__eq__plus1__left,axiom, % 153.46/153.43 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Suc__eq__plus1,axiom, % 153.46/153.43 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 153.46/153.43 ! [V_y,V_x] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 153.46/153.43 ! [V_Pa_2] : % 153.46/153.43 ( ! [B_x] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 153.46/153.43 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 153.46/153.43 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 153.46/153.43 ! [V_Pa_2] : % 153.46/153.43 ( ? [B_x] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 153.46/153.43 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 153.46/153.43 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 153.46/153.43 ! [V_z] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z))) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zero__zle__int,axiom, % 153.46/153.43 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 153.46/153.43 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 153.46/153.43 % 153.46/153.43 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 153.46/153.43 ! [V_y_2,V_x_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 153.46/153.43 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 153.46/153.43 <=> V_x_2 = V_y_2 ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_all__nat,axiom, % 153.46/153.43 ! [V_Pa_2] : % 153.46/153.43 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 153.46/153.43 <=> ! [B_x] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 153.46/153.43 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_ex__nat,axiom, % 153.46/153.43 ! [V_Pa_2] : % 153.46/153.43 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 153.46/153.43 <=> ? [B_x] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 153.46/153.43 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_eq__nat__nat__iff,axiom, % 153.46/153.43 ! [V_z_H_2,V_z_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 153.46/153.43 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 153.46/153.43 <=> V_z_2 = V_z_H_2 ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zadd__zless__mono,axiom, % 153.46/153.43 ! [V_z,V_z_H,V_w,V_w_H] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_H),V_z_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 153.46/153.43 ! [V_y,V_x] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 153.46/153.43 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_int__mult,axiom, % 153.46/153.43 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zmult__int,axiom, % 153.46/153.43 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zle__iff__zadd,axiom, % 153.46/153.43 ! [V_z_2,V_w_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 153.46/153.43 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 153.46/153.43 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_int__1,axiom, % 153.46/153.43 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 153.46/153.43 % 153.46/153.43 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 153.46/153.43 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__pos__nonneg,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__nonneg__pos,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__strict__increasing,axiom, % 153.46/153.43 ! [V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__strict__increasing2,axiom, % 153.46/153.43 ! [V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__neg__nonpos,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add__nonpos__neg,axiom, % 153.46/153.43 ! [V_b,V_a,T_a] : % 153.46/153.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__le__cancel__left__pos,axiom, % 153.46/153.43 ! [V_b_2,V_a_2,V_c_2,T_b] : % 153.46/153.43 ( class_Rings_Olinordered__ring__strict(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__le__cancel__left__neg,axiom, % 153.46/153.43 ! [V_b_2,V_a_2,V_c_2,T_b] : % 153.46/153.43 ( class_Rings_Olinordered__ring__strict(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__strict__mono,axiom, % 153.46/153.43 ! [V_d,V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__strict__mono_H,axiom, % 153.46/153.43 ! [V_d,V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__less__le__imp__less,axiom, % 153.46/153.43 ! [V_d,V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__le__less__imp__less,axiom, % 153.46/153.43 ! [V_d,V_c,V_b,V_a,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__right__less__imp__less,axiom, % 153.46/153.43 ! [V_b,V_c,V_a,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semiring(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__less__imp__less__right,axiom, % 153.46/153.43 ! [V_b,V_c,V_a,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__left__less__imp__less,axiom, % 153.46/153.43 ! [V_b,V_a,V_c,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semiring(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__less__imp__less__left,axiom, % 153.46/153.43 ! [V_b,V_a,V_c,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__right__le__imp__le,axiom, % 153.46/153.43 ! [V_b,V_c,V_a,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__left__le__imp__le,axiom, % 153.46/153.43 ! [V_b,V_a,V_c,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_sum__squares__le__zero__iff,axiom, % 153.46/153.43 ! [V_y_2,V_x_2,T_b] : % 153.46/153.43 ( class_Rings_Olinordered__ring__strict(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.43 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.43 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_sum__squares__ge__zero,axiom, % 153.46/153.43 ! [V_y,V_x,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__ring(T_a) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__right__le__one__le,axiom, % 153.46/153.43 ! [V_y,V_x,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_x)) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_mult__left__le__one__le,axiom, % 153.46/153.43 ! [V_y,V_x,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)),V_x)) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_sgn__greater,axiom, % 153.46/153.43 ! [V_a_2,T_b] : % 153.46/153.43 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Osgn__class_Osgn(T_b,V_a_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_sgn__less,axiom, % 153.46/153.43 ! [V_a_2,T_b] : % 153.46/153.43 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_one__less__mult,axiom, % 153.46/153.43 ! [V_m,V_n] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_n__less__n__mult__m,axiom, % 153.46/153.43 ! [V_m,V_n] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_n__less__m__mult__n,axiom, % 153.46/153.43 ! [V_m,V_n] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_int__le__0__conv,axiom, % 153.46/153.43 ! [V_na_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.43 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__le__0,axiom, % 153.46/153.43 ! [V_z] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.43 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__0__iff,axiom, % 153.46/153.43 ! [V_i_2] : % 153.46/153.43 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_int__one__le__iff__zero__less,axiom, % 153.46/153.43 ! [V_z_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_int__nat__eq,axiom, % 153.46/153.43 ! [V_z] : % 153.46/153.43 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 153.46/153.43 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 153.46/153.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 153.46/153.43 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_int__eq__iff,axiom, % 153.46/153.43 ! [V_z_2,V_m_2] : % 153.46/153.43 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 153.46/153.43 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 153.46/153.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__0__le,axiom, % 153.46/153.43 ! [V_z] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 153.46/153.43 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zle__add1__eq__le,axiom, % 153.46/153.43 ! [V_z_2,V_w_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_add1__zle__eq,axiom, % 153.46/153.43 ! [V_z_2,V_w_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z_2)) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_zless__imp__add1__zle,axiom, % 153.46/153.43 ! [V_z,V_w] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z)) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_int__zle__neg,axiom, % 153.46/153.43 ! [V_m_2,V_na_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)))) % 153.46/153.43 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.43 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_negative__zle__0,axiom, % 153.46/153.43 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 153.46/153.43 % 153.46/153.43 fof(fact_convex__bound__le,axiom, % 153.46/153.43 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 153.46/153.43 ( class_Rings_Olinordered__semiring__1(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 153.46/153.43 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__less__eq__zless,axiom, % 153.46/153.43 ! [V_z_2,V_w_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 153.46/153.43 ! [V_y_2,V_x_2] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2))) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__eq__iff2,axiom, % 153.46/153.43 ! [V_w_2,V_m_2] : % 153.46/153.43 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 153.46/153.43 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 153.46/153.43 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 153.46/153.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 153.46/153.43 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__eq__iff,axiom, % 153.46/153.43 ! [V_m_2,V_w_2] : % 153.46/153.43 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 153.46/153.43 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 153.46/153.43 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 153.46/153.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 153.46/153.43 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 153.46/153.43 ! [V_y,V_x] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 153.46/153.43 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_nat__add__distrib,axiom, % 153.46/153.43 ! [V_z_H,V_z] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 153.46/153.43 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_le__imp__0__less,axiom, % 153.46/153.43 ! [V_z] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z))) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_not__zle__0__negative,axiom, % 153.46/153.43 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ). % 153.46/153.43 % 153.46/153.43 fof(fact_of__nat__nat,axiom, % 153.46/153.43 ! [V_z,T_a] : % 153.46/153.43 ( class_Rings_Oring__1(T_a) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 153.46/153.43 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_sgn__1__pos,axiom, % 153.46/153.43 ! [V_a_2,T_b] : % 153.46/153.43 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.43 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b) % 153.46/153.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_self__quotient__aux2,axiom, % 153.46/153.43 ! [V_q,V_r,V_a] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.43 => ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 153.46/153.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 153.46/153.43 % 153.46/153.43 fof(fact_self__quotient__aux1,axiom, % 153.46/153.43 ! [V_q,V_r,V_a] : % 153.46/153.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.43 => ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)) % 153.46/153.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_q__pos__lemma,axiom, % 153.46/153.44 ! [V_r_H,V_q_H,V_b_H] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_q__neg__lemma,axiom, % 153.46/153.44 ! [V_r_H,V_q_H,V_b_H] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_unique__quotient__lemma,axiom, % 153.46/153.44 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__mono2__lemma,axiom, % 153.46/153.44 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 153.46/153.44 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_unique__quotient__lemma__neg,axiom, % 153.46/153.44 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__mono2__neg__lemma,axiom, % 153.46/153.44 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 153.46/153.44 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__mult__le__cancel1,axiom, % 153.46/153.44 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__antisym,axiom, % 153.46/153.44 ! [V_n,V_m] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 153.46/153.44 => V_m = V_n ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__trans,axiom, % 153.46/153.44 ! [V_k,V_j,V_i] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_eq__imp__le,axiom, % 153.46/153.44 ! [V_n,V_m] : % 153.46/153.44 ( V_m = V_n % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__le__linear,axiom, % 153.46/153.44 ! [V_n,V_m] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__refl,axiom, % 153.46/153.44 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_less__fun__def,axiom, % 153.46/153.44 ! [V_g_2,V_f_2,T_b,T_c] : % 153.46/153.44 ( class_Orderings_Oord(T_c) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 153.46/153.44 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 153.46/153.44 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__mult__eq__cancel__disj,axiom, % 153.46/153.44 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2) % 153.46/153.44 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 | V_m_2 = V_na_2 ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_left__add__mult__distrib,axiom, % 153.46/153.44 ! [V_k,V_j,V_u,V_i] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_u)),V_k) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__mult__less__cancel1,axiom, % 153.46/153.44 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__mult__eq__cancel1,axiom, % 153.46/153.44 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 153.46/153.44 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2) % 153.46/153.44 <=> V_m_2 = V_na_2 ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_transfer__morphism__nat__int,axiom, % 153.46/153.44 c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 153.46/153.44 % 153.46/153.44 fof(fact_compl__mono,axiom, % 153.46/153.44 ! [V_y,V_x,T_a] : % 153.46/153.44 ( class_Lattices_Oboolean__algebra(T_a) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_compl__le__compl__iff,axiom, % 153.46/153.44 ! [V_y_2,V_x_2,T_b] : % 153.46/153.44 ( class_Lattices_Oboolean__algebra(T_b) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_ex__least__nat__less,axiom, % 153.46/153.44 ! [V_na_2,V_Pa_2] : % 153.46/153.44 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 153.46/153.44 => ( hBOOL(hAPP(V_Pa_2,V_na_2)) % 153.46/153.44 => ? [B_k] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_na_2)) % 153.46/153.44 & ! [B_i] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 153.46/153.44 => ~ hBOOL(hAPP(V_Pa_2,B_i)) ) % 153.46/153.44 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_divmod__int__rel__mod__eq,axiom, % 153.46/153.44 ! [V_y,V_q_1,V_b_1,V_a_1] : % 153.46/153.44 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_q_1)),V_y) % 153.46/153.44 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 153.46/153.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 153.46/153.44 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmult2__lemma__aux2,axiom, % 153.46/153.44 ! [V_q,V_r,V_b,V_c] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmult2__lemma__aux1,axiom, % 153.46/153.44 ! [V_q,V_r,V_b,V_c] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmult2__lemma__aux4,axiom, % 153.46/153.44 ! [V_q,V_b,V_r,V_c] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c))) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mod__trivial,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__self,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__by__0,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__0,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__add__cong,axiom, % 153.46/153.44 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 153.46/153.44 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_H),V_b_H),V_c) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__simps_I1_J,axiom, % 153.46/153.44 ! [V_b,V_c,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__simps_I2_J,axiom, % 153.46/153.44 ! [V_c,V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__add__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__add__left__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__add__right__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__add__self1,axiom, % 153.46/153.44 ! [V_a,V_b,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__add__self2,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult__cong,axiom, % 153.46/153.44 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 153.46/153.44 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b_H),V_c) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__simps_I4_J,axiom, % 153.46/153.44 ! [V_b,V_c,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult__mult2,axiom, % 153.46/153.44 ! [V_b,V_c,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult__mult1,axiom, % 153.46/153.44 ! [V_b,V_a,V_c,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult__left__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult__right__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__minus__cong,axiom, % 153.46/153.44 ! [V_a_H,V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Oring__div(T_a) % 153.46/153.44 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_H),V_b) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__minus__eq,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Oring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__self,axiom, % 153.46/153.44 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__zero,axiom, % 153.46/153.44 ! [V_b] : c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__zmult1__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c)),V_c) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__simps_I3_J,axiom, % 153.46/153.44 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__zminus2,axiom, % 153.46/153.44 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__zminus__zminus,axiom, % 153.46/153.44 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zminus__zmod,axiom, % 153.46/153.44 ! [V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_x),V_m) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult__self1__is__0,axiom, % 153.46/153.44 ! [V_a,V_b,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult__self2__is__0,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult__self1,axiom, % 153.46/153.44 ! [V_b,V_c,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult__self2,axiom, % 153.46/153.44 ! [V_c,V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__by__1,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 153.46/153.44 ! [V_y,V_x] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__le__nonneg__dividend,axiom, % 153.46/153.44 ! [V_k,V_m] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_k)),V_m)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_pos__mod__bound,axiom, % 153.46/153.44 ! [V_a,V_b] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_neg__mod__bound,axiom, % 153.46/153.44 ! [V_a,V_b] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__eq__0__iff,axiom, % 153.46/153.44 ! [V_d_2,V_m_2] : % 153.46/153.44 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__zminus1__not__zero,axiom, % 153.46/153.44 ! [V_l,V_k] : % 153.46/153.44 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k),V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__zminus2__not__zero,axiom, % 153.46/153.44 ! [V_l,V_k] : % 153.46/153.44 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_pos__mod__sign,axiom, % 153.46/153.44 ! [V_a,V_b] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_pos__mod__conj,axiom, % 153.46/153.44 ! [V_a,V_b] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__pos__pos__trivial,axiom, % 153.46/153.44 ! [V_b,V_a] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_neg__mod__sign,axiom, % 153.46/153.44 ! [V_a,V_b] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_neg__mod__conj,axiom, % 153.46/153.44 ! [V_a,V_b] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__neg__neg__trivial,axiom, % 153.46/153.44 ! [V_b,V_a] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_times_Oidem,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mult__idem,axiom, % 153.46/153.44 ! [V_x,T_a] : % 153.46/153.44 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mult__left__idem,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_double__compl,axiom, % 153.46/153.44 ! [V_x,T_a] : % 153.46/153.44 ( class_Lattices_Oboolean__algebra(T_a) % 153.46/153.44 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_uminus__apply,axiom, % 153.46/153.44 ! [V_x_2,V_A_2,T_c,T_b] : % 153.46/153.44 ( class_Groups_Ouminus(T_b) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_compl__eq__compl__iff,axiom, % 153.46/153.44 ! [V_y_2,V_x_2,T_b] : % 153.46/153.44 ( class_Lattices_Oboolean__algebra(T_b) % 153.46/153.44 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2) % 153.46/153.44 <=> V_x_2 = V_y_2 ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__pos__neg__trivial,axiom, % 153.46/153.44 ! [V_b,V_a] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_split__zmod,axiom, % 153.46/153.44 ! [V_k_2,V_na_2,V_Pa_2] : % 153.46/153.44 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2))) % 153.46/153.44 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,V_na_2)) ) % 153.46/153.44 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 153.46/153.44 => ! [B_i,B_j] : % 153.46/153.44 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 153.46/153.44 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) % 153.46/153.44 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => ! [B_i,B_j] : % 153.46/153.44 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmult2__lemma__aux3,axiom, % 153.46/153.44 ! [V_q,V_b,V_r,V_c] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_z3mod__def,axiom, % 153.46/153.44 ! [V_k,V_l] : % 153.46/153.44 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 153.46/153.44 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 153.46/153.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 153.46/153.44 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_split__pos__lemma,axiom, % 153.46/153.44 ! [V_na_2,V_Pa_2,V_k_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2))) % 153.46/153.44 <=> ! [B_i,B_j] : % 153.46/153.44 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 153.46/153.44 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 153.46/153.44 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_split__neg__lemma,axiom, % 153.46/153.44 ! [V_na_2,V_Pa_2,V_k_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2))) % 153.46/153.44 <=> ! [B_i,B_j] : % 153.46/153.44 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 153.46/153.44 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__zmult2__eq,axiom, % 153.46/153.44 ! [V_b,V_a,V_c] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 153.46/153.44 ! [V_y,V_x] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(V_x,V_y))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_split__zdiv,axiom, % 153.46/153.44 ! [V_k_2,V_na_2,V_Pa_2] : % 153.46/153.44 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2))) % 153.46/153.44 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 153.46/153.44 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 153.46/153.44 => ! [B_i] : % 153.46/153.44 ( ? [B_j] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 153.46/153.44 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) % 153.46/153.44 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => ! [B_i] : % 153.46/153.44 ( ? [B_j] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_divmod__int__rel__div__eq,axiom, % 153.46/153.44 ! [V_r_1,V_y,V_b_1,V_a_1] : % 153.46/153.44 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y)),V_r_1) % 153.46/153.44 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 153.46/153.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 153.46/153.44 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_split__div_H,axiom, % 153.46/153.44 ! [V_na_2,V_m_2,V_Pa_2] : % 153.46/153.44 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2))) % 153.46/153.44 <=> ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 153.46/153.44 | ? [B_q] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),B_q)),V_m_2)) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,B_q)))) % 153.46/153.44 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__add1__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__int,axiom, % 153.46/153.44 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 153.46/153.44 ! [V_y,V_x] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_x),V_y)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__mult1__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult2__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__le__dividend,axiom, % 153.46/153.44 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__le__mono,axiom, % 153.46/153.44 ! [V_k,V_n,V_m] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),V_k))) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__zero,axiom, % 153.46/153.44 ! [V_b] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 153.46/153.44 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__mult2__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)),V_c) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__less,axiom, % 153.46/153.44 ! [V_n,V_m] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__less__eq__dividend,axiom, % 153.46/153.44 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_m)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult__distrib2,axiom, % 153.46/153.44 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult__distrib,axiom, % 153.46/153.44 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_k) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__zminus__zminus,axiom, % 153.46/153.44 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__zminus2,axiom, % 153.46/153.44 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__by__0,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__0,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__by__1,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 153.46/153.44 ! [V_y,V_x] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__div__distrib,axiom, % 153.46/153.44 ! [V_y,V_x] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.44 => hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__1,axiom, % 153.46/153.44 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = V_m ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__less,axiom, % 153.46/153.44 ! [V_n,V_m] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__mult__div__cancel__disj,axiom, % 153.46/153.44 ! [V_n,V_m,V_k] : % 153.46/153.44 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.46/153.44 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__Suc,axiom, % 153.46/153.44 ! [V_n,V_m] : % 153.46/153.44 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.46/153.44 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__1,axiom, % 153.46/153.44 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 153.46/153.44 ! [V_y,V_x] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__less__divisor,axiom, % 153.46/153.44 ! [V_m,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__neg__pos__less0,axiom, % 153.46/153.44 ! [V_b,V_a] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 153.46/153.44 ! [V_a_2,V_b_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 153.46/153.44 ! [V_a_2,V_b_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__self,axiom, % 153.46/153.44 ! [V_a] : % 153.46/153.44 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__eq__0__iff,axiom, % 153.46/153.44 ! [V_d_2,V_m_2] : % 153.46/153.44 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__zdiv__trivial,axiom, % 153.46/153.44 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 153.46/153.44 % 153.46/153.44 fof(fact_DIVISION__BY__ZERO,axiom, % 153.46/153.44 ! [V_a] : % 153.46/153.44 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult__self3,axiom, % 153.46/153.44 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__zadd1__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__int,axiom, % 153.46/153.44 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 153.46/153.44 ! [V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__mult__mult1__if,axiom, % 153.46/153.44 ! [V_b,V_a,V_c,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = c_Groups_Ozero__class_Ozero(T_a) ) % 153.46/153.44 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__mult__self2__is__id,axiom, % 153.46/153.44 ! [V_a,V_b,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_b) = V_a ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__mult__self1__is__id,axiom, % 153.46/153.44 ! [V_a,V_b,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),V_b) = V_a ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__mult__mult2,axiom, % 153.46/153.44 ! [V_b,V_a,V_c,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__mult__mult1,axiom, % 153.46/153.44 ! [V_b,V_a,V_c,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__self,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__div__trivial,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__le__mono2,axiom, % 153.46/153.44 ! [V_k,V_n,V_m] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_n)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_m))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__mult__div__cancel1,axiom, % 153.46/153.44 ! [V_n,V_m,V_k] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__mult__self1__is__m,axiom, % 153.46/153.44 ! [V_m,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__mult__self__is__m,axiom, % 153.46/153.44 ! [V_m,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__less__dividend,axiom, % 153.46/153.44 ! [V_m,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__mono1__neg,axiom, % 153.46/153.44 ! [V_b,V_a_H,V_a] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__mono1,axiom, % 153.46/153.44 ! [V_b,V_a_H,V_a] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__neg__neg__trivial,axiom, % 153.46/153.44 ! [V_b,V_a] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__mono2__neg,axiom, % 153.46/153.44 ! [V_b,V_b_H,V_a] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__nonpos__pos__le0,axiom, % 153.46/153.44 ! [V_b,V_a] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 153.46/153.44 ! [V_a_2,V_b_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__pos__pos__trivial,axiom, % 153.46/153.44 ! [V_b,V_a] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__nonneg__neg__le0,axiom, % 153.46/153.44 ! [V_b,V_a] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__mono2,axiom, % 153.46/153.44 ! [V_b,V_b_H,V_a] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H))) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 153.46/153.44 ! [V_b_2,V_a_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2))) % 153.46/153.44 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2)) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 153.46/153.44 ! [V_i_2,V_k_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 153.46/153.44 ! [V_a_2,V_b_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__eq__0__iff,axiom, % 153.46/153.44 ! [V_k_2,V_i_2] : % 153.46/153.44 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 153.46/153.44 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__le__divisor,axiom, % 153.46/153.44 ! [V_m,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_int__div__less__self,axiom, % 153.46/153.44 ! [V_k,V_x] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_k)),V_x)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__zmult2__eq,axiom, % 153.46/153.44 ! [V_b,V_a,V_c] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__mult__self4,axiom, % 153.46/153.44 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m)),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__zdiv__equality,axiom, % 153.46/153.44 ! [V_b,V_a] : V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__zmult1__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__zmod__equality,axiom, % 153.46/153.44 ! [V_k,V_a,V_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__zmod__equality2,axiom, % 153.46/153.44 ! [V_k,V_b,V_a] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__mult__self1,axiom, % 153.46/153.44 ! [V_c,V_a,V_b,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__mult__self2,axiom, % 153.46/153.44 ! [V_c,V_a,V_b,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__add__self1,axiom, % 153.46/153.44 ! [V_a,V_b,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__add__self2,axiom, % 153.46/153.44 ! [V_a,V_b,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)) = V_a ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__div__equality2,axiom, % 153.46/153.44 ! [V_a,V_b,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__div__equality,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__mod__equality2,axiom, % 153.46/153.44 ! [V_c,V_a,V_b,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__mod__equality,axiom, % 153.46/153.44 ! [V_c,V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_split__div,axiom, % 153.46/153.44 ! [V_k_2,V_na_2,V_Pa_2] : % 153.46/153.44 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_na_2),V_k_2))) % 153.46/153.44 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 153.46/153.44 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 => ! [B_i,B_j] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 153.46/153.44 => ( V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_split__mod,axiom, % 153.46/153.44 ! [V_k_2,V_na_2,V_Pa_2] : % 153.46/153.44 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_na_2,V_k_2))) % 153.46/153.44 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,V_na_2)) ) % 153.46/153.44 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 => ! [B_i,B_j] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 153.46/153.44 => ( V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__lemma,axiom, % 153.46/153.44 ! [V_q,V_b,V_r,V_c] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Suc__times__mod__eq,axiom, % 153.46/153.44 ! [V_m,V_k] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),V_k) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 153.46/153.44 ! [V_y,V_x] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__mod__distrib,axiom, % 153.46/153.44 ! [V_y,V_x] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 153.46/153.44 => hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_split__div__lemma,axiom, % 153.46/153.44 ! [V_m_2,V_q_2,V_na_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 153.46/153.44 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_q_2)),V_m_2)) % 153.46/153.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_q_2)))) ) % 153.46/153.44 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_z3div__def,axiom, % 153.46/153.44 ! [V_k,V_l] : % 153.46/153.44 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 153.46/153.44 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 153.46/153.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 153.46/153.44 => c_SMT_Oz3div(V_k,V_l) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__zminus2__eq__if,axiom, % 153.46/153.44 ! [V_a,V_b] : % 153.46/153.44 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) ) % 153.46/153.44 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiv__zminus1__eq__if,axiom, % 153.46/153.44 ! [V_a,V_b] : % 153.46/153.44 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) ) % 153.46/153.44 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__div__geq,axiom, % 153.46/153.44 ! [V_m,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__div__decomp,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Osemiring__div(T_a) % 153.46/153.44 => V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 153.46/153.44 ! [V_y,V_x] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_incr__mult__lemma,axiom, % 153.46/153.44 ! [V_k_2,V_Pa_2,V_d_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 153.46/153.44 => ( ! [B_x] : % 153.46/153.44 ( hBOOL(hAPP(V_Pa_2,B_x)) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 153.46/153.44 => ! [B_x] : % 153.46/153.44 ( hBOOL(hAPP(V_Pa_2,B_x)) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_field__le__mult__one__interval,axiom, % 153.46/153.44 ! [V_y,V_x,T_a] : % 153.46/153.44 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 153.46/153.44 => ( ! [B_z] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_z),V_x)),V_y)) ) ) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__eq__diff__eq,axiom, % 153.46/153.44 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.46/153.44 ( class_Groups_Oab__group__add(T_b) % 153.46/153.44 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2) % 153.46/153.44 => ( V_a_2 = V_b_2 % 153.46/153.44 <=> V_c_2 = V_d_2 ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__commute,axiom, % 153.46/153.44 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_k)),V_j) ). % 153.46/153.44 % 153.46/153.44 fof(fact_of__int__diff,axiom, % 153.46/153.44 ! [V_z,V_w,T_a] : % 153.46/153.44 ( class_Rings_Oring__1(T_a) % 153.46/153.44 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_minus__apply,axiom, % 153.46/153.44 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 153.46/153.44 ( class_Groups_Ominus(T_b) % 153.46/153.44 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_of__nat__diff,axiom, % 153.46/153.44 ! [V_m,V_n,T_a] : % 153.46/153.44 ( class_Rings_Oring__1(T_a) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 153.46/153.44 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiff__int,axiom, % 153.46/153.44 ! [V_m,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__eq__diff__less__eq,axiom, % 153.46/153.44 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.46/153.44 ( class_Groups_Oordered__ab__group__add(T_b) % 153.46/153.44 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__0__right,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Groups_Ogroup__add(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__self,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Groups_Ogroup__add(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_eq__iff__diff__eq__0,axiom, % 153.46/153.44 ! [V_b_2,V_a_2,T_b] : % 153.46/153.44 ( class_Groups_Oab__group__add(T_b) % 153.46/153.44 => ( V_a_2 = V_b_2 % 153.46/153.44 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_right__minus__eq,axiom, % 153.46/153.44 ! [V_b_2,V_a_2,T_b] : % 153.46/153.44 ( class_Groups_Ogroup__add(T_b) % 153.46/153.44 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.44 <=> V_a_2 = V_b_2 ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__eq__diff__less,axiom, % 153.46/153.44 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.46/153.44 ( class_Groups_Oordered__ab__group__add(T_b) % 153.46/153.44 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_add__diff__cancel,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Groups_Ogroup__add(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = V_a ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__add__cancel,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Groups_Ogroup__add(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_b) = V_a ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_minus__diff__eq,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Groups_Oab__group__add(T_a) % 153.46/153.44 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__diff__cong,axiom, % 153.46/153.44 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 153.46/153.44 ( class_Divides_Oring__div(T_a) % 153.46/153.44 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 153.46/153.44 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_H),V_b_H),V_c) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__diff__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Oring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__diff__left__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Oring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__diff__right__eq,axiom, % 153.46/153.44 ! [V_c,V_b,V_a,T_a] : % 153.46/153.44 ( class_Divides_Oring__div(T_a) % 153.46/153.44 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diffs0__imp__equal,axiom, % 153.46/153.44 ! [V_n,V_m] : % 153.46/153.44 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 => V_m = V_n ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__self__eq__0,axiom, % 153.46/153.44 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.44 % 153.46/153.44 fof(fact_minus__nat_Odiff__0,axiom, % 153.46/153.44 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__0__eq__0,axiom, % 153.46/153.44 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Suc__diff__diff,axiom, % 153.46/153.44 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)),hAPP(c_Nat_OSuc,V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__Suc__Suc,axiom, % 153.46/153.44 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__less__mono2,axiom, % 153.46/153.44 ! [V_l,V_n,V_m] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_less__imp__diff__less,axiom, % 153.46/153.44 ! [V_n,V_k,V_j] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_n)),V_k)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__geq,axiom, % 153.46/153.44 ! [V_n,V_m] : % 153.46/153.44 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__if,axiom, % 153.46/153.44 ! [V_n,V_m] : % 153.46/153.44 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 153.46/153.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__cancel2,axiom, % 153.46/153.44 ! [V_n,V_k,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__cancel,axiom, % 153.46/153.44 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__diff__left,axiom, % 153.46/153.44 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__add__inverse,axiom, % 153.46/153.44 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__add__inverse2,axiom, % 153.46/153.44 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__le__self,axiom, % 153.46/153.44 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__le__mono2,axiom, % 153.46/153.44 ! [V_l,V_n,V_m] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__le__mono,axiom, % 153.46/153.44 ! [V_l,V_n,V_m] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_l)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_l))) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__diff__cancel,axiom, % 153.46/153.44 ! [V_n,V_i] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = V_i ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_eq__diff__iff,axiom, % 153.46/153.44 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 153.46/153.44 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2) % 153.46/153.44 <=> V_m_2 = V_na_2 ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Nat_Odiff__diff__eq,axiom, % 153.46/153.44 ! [V_n,V_m,V_k] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__diff__iff,axiom, % 153.46/153.44 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__mod__geq,axiom, % 153.46/153.44 ! [V_m,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiff__zmult__distrib,axiom, % 153.46/153.44 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiff__zmult__distrib2,axiom, % 153.46/153.44 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__mult__distrib2,axiom, % 153.46/153.44 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__mult__distrib,axiom, % 153.46/153.44 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiff__zmod__left,axiom, % 153.46/153.44 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y),V_m) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiff__zmod__right,axiom, % 153.46/153.44 ! [V_m,V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_y,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y),V_m) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__diff__distrib,axiom, % 153.46/153.44 ! [V_z,V_z_H] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 153.46/153.44 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zdiff__int__split,axiom, % 153.46/153.44 ! [V_y_2,V_x_2,V_Pa_2] : % 153.46/153.44 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2)))) % 153.46/153.44 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) ) % 153.46/153.44 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__iff__diff__le__0,axiom, % 153.46/153.44 ! [V_b_2,V_a_2,T_b] : % 153.46/153.44 ( class_Groups_Oordered__ab__group__add(T_b) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_less__iff__diff__less__0,axiom, % 153.46/153.44 ! [V_b_2,V_a_2,T_b] : % 153.46/153.44 ( class_Groups_Oordered__ab__group__add(T_b) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_eq__add__iff2,axiom, % 153.46/153.44 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 153.46/153.44 ( class_Rings_Oring(T_b) % 153.46/153.44 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2) % 153.46/153.44 <=> V_c_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_eq__add__iff1,axiom, % 153.46/153.44 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 153.46/153.44 ( class_Rings_Oring(T_b) % 153.46/153.44 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2) % 153.46/153.44 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2) = V_d_2 ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__0,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Groups_Ogroup__add(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__minus__eq__add,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Groups_Ogroup__add(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_ab__diff__minus,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Groups_Oab__group__add(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__def,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Groups_Ogroup__add(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 153.46/153.44 ! [V_y,V_x,T_a] : % 153.46/153.44 ( class_Rings_Ocomm__ring__1(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_less__bin__lemma,axiom, % 153.46/153.44 ! [V_l_2,V_k_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__less,axiom, % 153.46/153.44 ! [V_m,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zero__less__diff,axiom, % 153.46/153.44 ! [V_m_2,V_na_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_m_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__less__Suc,axiom, % 153.46/153.44 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(c_Nat_OSuc,V_m))) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__add__0,axiom, % 153.46/153.44 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__is__0__eq,axiom, % 153.46/153.44 ! [V_na_2,V_m_2] : % 153.46/153.44 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__is__0__eq_H,axiom, % 153.46/153.44 ! [V_n,V_m] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_add__diff__inverse,axiom, % 153.46/153.44 ! [V_n,V_m] : % 153.46/153.44 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_less__diff__conv,axiom, % 153.46/153.44 ! [V_k_2,V_j_2,V_i_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Suc__diff__le,axiom, % 153.46/153.44 ! [V_m,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__less__mono,axiom, % 153.46/153.44 ! [V_c,V_b,V_a] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_b),V_c))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_less__diff__iff,axiom, % 153.46/153.44 ! [V_na_2,V_m_2,V_k_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__diff__right,axiom, % 153.46/153.44 ! [V_i,V_j,V_k] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__diff__conv,axiom, % 153.46/153.44 ! [V_i_2,V_k_2,V_j_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)),V_i_2)) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__add__diff,axiom, % 153.46/153.44 ! [V_m,V_n,V_k] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_k))) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__add__diff__inverse,axiom, % 153.46/153.44 ! [V_m,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_add__diff__assoc,axiom, % 153.46/153.44 ! [V_i,V_j,V_k] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__diff__conv2,axiom, % 153.46/153.44 ! [V_i_2,V_j_2,V_k_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__add__diff__inverse2,axiom, % 153.46/153.44 ! [V_m,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__imp__diff__is__add,axiom, % 153.46/153.44 ! [V_k_2,V_j_2,V_i_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 153.46/153.44 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 153.46/153.44 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__add__assoc,axiom, % 153.46/153.44 ! [V_i,V_j,V_k] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_add__diff__assoc2,axiom, % 153.46/153.44 ! [V_i,V_j,V_k] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__add__assoc2,axiom, % 153.46/153.44 ! [V_i,V_j,V_k] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__int__def__symmetric,axiom, % 153.46/153.44 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__int__def,axiom, % 153.46/153.44 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__Suc__eq__diff__pred,axiom, % 153.46/153.44 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__Suc__1,axiom, % 153.46/153.44 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 153.46/153.44 % 153.46/153.44 fof(fact_Divides_Omod__div__equality_H,axiom, % 153.46/153.44 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mult__div__cancel,axiom, % 153.46/153.44 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__mod__equality_H,axiom, % 153.46/153.44 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_tsub__eq,axiom, % 153.46/153.44 ! [V_x,V_y] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 153.46/153.44 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 153.46/153.44 ! [V_y,V_x] : c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x),V_y)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__add__iff2,axiom, % 153.46/153.44 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 153.46/153.44 ( class_Rings_Oordered__ring(T_b) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_le__add__iff1,axiom, % 153.46/153.44 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 153.46/153.44 ( class_Rings_Oordered__ring(T_b) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_less__add__iff2,axiom, % 153.46/153.44 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 153.46/153.44 ( class_Rings_Oordered__ring(T_b) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_less__add__iff1,axiom, % 153.46/153.44 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 153.46/153.44 ( class_Rings_Oordered__ring(T_b) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__Suc__less,axiom, % 153.46/153.44 ! [V_i,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_i))),V_n)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Suc__pred,axiom, % 153.46/153.44 ! [V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.44 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = V_n ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__diff__split,axiom, % 153.46/153.44 ! [V_b_2,V_a_2,V_Pa_2] : % 153.46/153.44 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 153.46/153.44 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 153.46/153.44 & ! [B_d] : % 153.46/153.44 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__diff__split__asm,axiom, % 153.46/153.44 ! [V_b_2,V_a_2,V_Pa_2] : % 153.46/153.44 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 153.46/153.44 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 153.46/153.44 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 153.46/153.44 | ? [B_d] : % 153.46/153.44 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 153.46/153.44 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zle__diff1__eq,axiom, % 153.46/153.44 ! [V_z_2,V_w_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__Suc__diff__eq2,axiom, % 153.46/153.44 ! [V_m,V_j,V_k] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))),V_m) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_j)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_diff__Suc__diff__eq1,axiom, % 153.46/153.44 ! [V_m,V_j,V_k] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(c_Nat_OSuc,V_j)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__eq__add__iff2,axiom, % 153.46/153.44 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 153.46/153.44 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2) % 153.46/153.44 <=> V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__diff__add__eq2,axiom, % 153.46/153.44 ! [V_n,V_m,V_u,V_j,V_i] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i)),V_u)),V_n)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__le__add__iff2,axiom, % 153.46/153.44 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__eq__add__iff1,axiom, % 153.46/153.44 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 153.46/153.44 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2) % 153.46/153.44 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2) = V_na_2 ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__diff__add__eq1,axiom, % 153.46/153.44 ! [V_n,V_m,V_u,V_i,V_j] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 153.46/153.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_u)),V_m)),V_n) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__le__add__iff1,axiom, % 153.46/153.44 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_na_2)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__zminus1__eq__if,axiom, % 153.46/153.44 ! [V_b,V_a] : % 153.46/153.44 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 153.46/153.44 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__zminus2__eq__if,axiom, % 153.46/153.44 ! [V_b,V_a] : % 153.46/153.44 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 153.46/153.44 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.44 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmult__div__cancel,axiom, % 153.46/153.44 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zmod__zdiv__equality_H,axiom, % 153.46/153.44 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)),V_n)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_tsub__def,axiom, % 153.46/153.44 ! [V_x,V_y] : % 153.46/153.44 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 153.46/153.44 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 153.46/153.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 153.46/153.44 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Suc__diff__1,axiom, % 153.46/153.44 ! [V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.44 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = V_n ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_Suc__pred_H,axiom, % 153.46/153.44 ! [V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.44 => V_n = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__less__add__iff2,axiom, % 153.46/153.44 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__less__add__iff1,axiom, % 153.46/153.44 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2))) % 153.46/153.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_na_2)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_add__eq__if,axiom, % 153.46/153.44 ! [V_n,V_m] : % 153.46/153.44 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 153.46/153.44 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__geq,axiom, % 153.46/153.44 ! [V_m,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.44 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_div__if,axiom, % 153.46/153.44 ! [V_m,V_n] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.44 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.46/153.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mult__eq__if,axiom, % 153.46/153.44 ! [V_n,V_m] : % 153.46/153.44 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.46/153.44 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_int__power__div__base,axiom, % 153.46/153.44 ! [V_k,V_m] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 153.46/153.44 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),V_m)),V_k) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_decr__mult__lemma,axiom, % 153.46/153.44 ! [V_k_2,V_Pa_2,V_d_2] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 153.46/153.44 => ( ! [B_x] : % 153.46/153.44 ( hBOOL(hAPP(V_Pa_2,B_x)) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 153.46/153.44 => ! [B_x] : % 153.46/153.44 ( hBOOL(hAPP(V_Pa_2,B_x)) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_incr__lemma,axiom, % 153.46/153.44 ! [V_x,V_z,V_d] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d)))) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_decr__lemma,axiom, % 153.46/153.44 ! [V_z,V_x,V_d] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d))),V_z)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__mod__eq__lemma,axiom, % 153.46/153.44 ! [V_y,V_n,V_x] : % 153.46/153.44 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 153.46/153.44 => ? [B_q] : V_x = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),B_q)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_mod__induct__0,axiom, % 153.46/153.44 ! [V_i_2,V_Pa_2,V_p_2] : % 153.46/153.44 ( ! [B_i] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 153.46/153.44 => ( hBOOL(hAPP(V_Pa_2,B_i)) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 153.46/153.44 => ( hBOOL(hAPP(V_Pa_2,V_i_2)) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 153.46/153.44 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_expand__Suc,axiom, % 153.46/153.44 ! [V_v] : % 153.46/153.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v))) % 153.46/153.44 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_nat__gcd_Osimps,axiom, % 153.46/153.44 ! [V_x,V_y] : % 153.46/153.44 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 153.46/153.44 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.44 => c_Nitpick_Onat__gcd(V_x,V_y) = c_Nitpick_Onat__gcd(V_y,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_of__int__power,axiom, % 153.46/153.44 ! [V_n,V_z,T_a] : % 153.46/153.44 ( class_Rings_Oring__1(T_a) % 153.46/153.44 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)),V_n) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_of__int__number__of__eq,axiom, % 153.46/153.44 ! [V_v,T_a] : % 153.46/153.44 ( class_Int_Onumber__ring(T_a) % 153.46/153.44 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_abs__idempotent,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_number__of__reorient,axiom, % 153.46/153.44 ! [V_x_2,V_w_2,T_b] : % 153.46/153.44 ( class_Int_Onumber(T_b) % 153.46/153.44 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2 % 153.46/153.44 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_eq__number__of,axiom, % 153.46/153.44 ! [V_y_2,V_x_2,T_b] : % 153.46/153.44 ( ( class_Int_Onumber__ring(T_b) % 153.46/153.44 & class_Int_Oring__char__0(T_b) ) % 153.46/153.44 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 153.46/153.44 <=> V_x_2 = V_y_2 ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zero__le__zpower__abs,axiom, % 153.46/153.44 ! [V_n,V_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),V_n))) ). % 153.46/153.44 % 153.46/153.44 fof(fact_abs__ge__self,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_abs__le__D1,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 153.46/153.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_abs__eq__0,axiom, % 153.46/153.44 ! [V_a_2,T_b] : % 153.46/153.44 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 153.46/153.44 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.44 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_abs__zero,axiom, % 153.46/153.44 ! [T_a] : % 153.46/153.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_abs__add__abs,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_abs__mult,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_abs__mult__self,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.44 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_abs__minus__commute,axiom, % 153.46/153.44 ! [V_b,V_a,T_a] : % 153.46/153.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_abs__one,axiom, % 153.46/153.44 ! [T_a] : % 153.46/153.44 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_abs__minus__cancel,axiom, % 153.46/153.44 ! [V_a,T_a] : % 153.46/153.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 153.46/153.44 ! [V_q,V_y,V_x,T_a] : % 153.46/153.44 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.44 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_abs__of__nat,axiom, % 153.46/153.44 ! [V_n,T_a] : % 153.46/153.44 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_abs__int__eq,axiom, % 153.46/153.44 ! [V_m] : hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m) ). % 153.46/153.44 % 153.46/153.44 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 153.46/153.44 ! [V_q,V_p,V_x,T_a] : % 153.46/153.44 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.44 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q)) ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zpower__zpower,axiom, % 153.46/153.44 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z)) ). % 153.46/153.44 % 153.46/153.44 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 153.46/153.44 ! [V_x,T_a] : % 153.46/153.44 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.44 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 153.46/153.44 % 153.46/153.44 fof(fact_zpower__zmod,axiom, % 153.46/153.44 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y),V_m) ). % 153.46/153.44 % 153.46/153.44 fof(fact_of__nat__number__of__lemma,axiom, % 153.46/153.44 ! [V_v,T_a] : % 153.46/153.44 ( class_Int_Onumber__ring(T_a) % 153.46/153.44 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.44 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) % 153.46/153.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_number__of__eq,axiom, % 153.46/153.45 ! [V_k,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__number__of,axiom, % 153.46/153.45 ! [V_x,T_a] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_a) % 153.46/153.45 & class_Rings_Olinordered__idom(T_a) ) % 153.46/153.45 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zero__less__zpower__abs__iff,axiom, % 153.46/153.45 ! [V_na_2,V_x_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2)),V_na_2))) % 153.46/153.45 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.45 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__ge__zero,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__le__zero__iff,axiom, % 153.46/153.45 ! [V_a_2,T_b] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.45 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__of__nonneg,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__not__less__zero,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zero__less__abs__iff,axiom, % 153.46/153.45 ! [V_a_2,T_b] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2))) % 153.46/153.45 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__of__pos,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__triangle__ineq,axiom, % 153.46/153.45 ! [V_b,V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__mult__less,axiom, % 153.46/153.45 ! [V_d,V_b,V_c,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d))) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__triangle__ineq3,axiom, % 153.46/153.45 ! [V_b,V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__triangle__ineq2,axiom, % 153.46/153.45 ! [V_b,V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__triangle__ineq2__sym,axiom, % 153.46/153.45 ! [V_b,V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__le__D2,axiom, % 153.46/153.45 ! [V_b,V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__leI,axiom, % 153.46/153.45 ! [V_b,V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__le__iff,axiom, % 153.46/153.45 ! [V_b_2,V_a_2,T_b] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2)) % 153.46/153.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 153.46/153.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__ge__minus__self,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__less__iff,axiom, % 153.46/153.45 ! [V_b_2,V_a_2,T_b] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2)) % 153.46/153.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 153.46/153.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_le__number__of__eq__not__less,axiom, % 153.46/153.45 ! [V_w_2,V_v_2,T_b] : % 153.46/153.45 ( ( class_Int_Onumber(T_b) % 153.46/153.45 & class_Orderings_Olinorder(T_b) ) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 153.46/153.45 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_right__distrib__number__of,axiom, % 153.46/153.45 ! [V_c,V_b,V_v,T_b] : % 153.46/153.45 ( ( class_Int_Onumber(T_b) % 153.46/153.45 & class_Rings_Osemiring(T_b) ) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_c)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_left__distrib__number__of,axiom, % 153.46/153.45 ! [V_v,V_b,V_a,T_b] : % 153.46/153.45 ( ( class_Int_Onumber(T_b) % 153.46/153.45 & class_Rings_Osemiring(T_b) ) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a),V_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 153.46/153.45 ! [V_q,V_x,T_a] : % 153.46/153.45 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 153.46/153.45 ! [V_q,V_x,T_a] : % 153.46/153.45 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 153.46/153.45 ! [V_q,V_x,T_a] : % 153.46/153.45 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_right__diff__distrib__number__of,axiom, % 153.46/153.45 ! [V_c,V_b,V_v,T_b] : % 153.46/153.45 ( ( class_Int_Onumber(T_b) % 153.46/153.45 & class_Rings_Oring(T_b) ) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b),V_c)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_c)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_left__diff__distrib__number__of,axiom, % 153.46/153.45 ! [V_v,V_b,V_a,T_b] : % 153.46/153.45 ( ( class_Int_Onumber(T_b) % 153.46/153.45 & class_Rings_Oring(T_b) ) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a),V_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_le__number__of,axiom, % 153.46/153.45 ! [V_y_2,V_x_2,T_b] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_b) % 153.46/153.45 & class_Rings_Olinordered__idom(T_b) ) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 153.46/153.45 ! [V_x,T_a] : % 153.46/153.45 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 153.46/153.45 ! [V_q,V_p,V_x,T_a] : % 153.46/153.45 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_p),V_q)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__number__of,axiom, % 153.46/153.45 ! [V_y_2,V_x_2,T_b] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_b) % 153.46/153.45 & class_Rings_Olinordered__idom(T_b) ) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__number__of__left,axiom, % 153.46/153.45 ! [V_z,V_w,V_v,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w))),V_z) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__number__of__eq,axiom, % 153.46/153.45 ! [V_w,V_v,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_number__of__add,axiom, % 153.46/153.45 ! [V_w,V_v,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 153.46/153.45 ! [V_n,V_x] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_number__of__mult,axiom, % 153.46/153.45 ! [V_w,V_v,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_arith__simps_I32_J,axiom, % 153.46/153.45 ! [V_w,V_v,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mult__number__of__left,axiom, % 153.46/153.45 ! [V_z,V_w,V_v,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w))),V_z) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__zmult__eq__1,axiom, % 153.46/153.45 ! [V_n,V_m] : % 153.46/153.45 ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n)) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_number__of__diff,axiom, % 153.46/153.45 ! [V_w,V_v,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zpower__zadd__distrib,axiom, % 153.46/153.45 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_arith__simps_I30_J,axiom, % 153.46/153.45 ! [V_w,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_number__of__minus,axiom, % 153.46/153.45 ! [V_w,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__sgn,axiom, % 153.46/153.45 ! [V_k,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_k),c_Groups_Osgn__class_Osgn(T_a,V_k)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mult__sgn__abs,axiom, % 153.46/153.45 ! [V_x,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_x)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)) = V_x ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__eq__mult,axiom, % 153.46/153.45 ! [V_b,V_a,T_a] : % 153.46/153.45 ( class_Rings_Oordered__ring__abs(T_a) % 153.46/153.45 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.45 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 153.46/153.45 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.45 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__mult__pos,axiom, % 153.46/153.45 ! [V_y,V_x,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_y)),V_x) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__diff__triangle__ineq,axiom, % 153.46/153.45 ! [V_d,V_c,V_b,V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_c))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_d))))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__triangle__ineq4,axiom, % 153.46/153.45 ! [V_b,V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__minus__le__zero,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__of__nonpos,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__of__neg,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__if,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Groups_Oabs__if(T_a) % 153.46/153.45 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zabs__less__one__iff,axiom, % 153.46/153.45 ! [V_z_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))) % 153.46/153.45 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__number__of__diff1,axiom, % 153.46/153.45 ! [V_c,V_w,V_v,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_c)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w))),V_c) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zabs__def,axiom, % 153.46/153.45 ! [V_i] : % 153.46/153.45 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_minus__number__of__mult,axiom, % 153.46/153.45 ! [V_z,V_w,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),V_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))),V_z) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__abs__mult__distrib,axiom, % 153.46/153.45 ! [V_z,V_w] : hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_w))),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_diff__number__of__eq,axiom, % 153.46/153.45 ! [V_w,V_v,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__number__of__diff2,axiom, % 153.46/153.45 ! [V_w,V_c,V_v,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)))),V_c) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__strict__mono,axiom, % 153.46/153.45 ! [V_n,V_b,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) ) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_one__less__power,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__le__imp__le__exp,axiom, % 153.46/153.45 ! [V_n,V_m,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__increasing__iff,axiom, % 153.46/153.45 ! [V_y_2,V_x_2,V_b_2,T_b] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_b) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__decreasing,axiom, % 153.46/153.45 ! [V_a,V_N,V_n,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__strict__decreasing,axiom, % 153.46/153.45 ! [V_a,V_N,V_n,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__Suc__less__one,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),c_Groups_Oone__class_Oone(T_a))) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_number__of__is__id,axiom, % 153.46/153.45 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__eq__number__of__int__code,axiom, % 153.46/153.45 ! [V_l_2,V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__number__of__int__code,axiom, % 153.46/153.45 ! [V_l_2,V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_plus__numeral__code_I9_J,axiom, % 153.46/153.45 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_times__numeral__code_I5_J,axiom, % 153.46/153.45 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_minus__numeral__code_I5_J,axiom, % 153.46/153.45 ! [V_w] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__Suc__0,axiom, % 153.46/153.45 ! [V_n] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 153.46/153.45 ! [V_m_2,V_x_2] : % 153.46/153.45 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_m_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 153.46/153.45 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.45 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__zero__less__power__iff,axiom, % 153.46/153.45 ! [V_na_2,V_x_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_na_2))) % 153.46/153.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 153.46/153.45 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__power__less__imp__less,axiom, % 153.46/153.45 ! [V_n,V_m,V_i] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_int__number__of__def,axiom, % 153.46/153.45 ! [V_w] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),V_w) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__one__le__power,axiom, % 153.46/153.45 ! [V_n,V_i] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_i)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__number__of__def,axiom, % 153.46/153.45 ! [V_v] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__number__of,axiom, % 153.46/153.45 ! [V_w] : hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zpower__int,axiom, % 153.46/153.45 ! [V_n,V_m] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_int__power,axiom, % 153.46/153.45 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 153.46/153.45 ! [V_n,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x),V_n)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_minus__numeral__code_I6_J,axiom, % 153.46/153.45 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__eq__if,axiom, % 153.46/153.45 ! [V_p,V_m] : % 153.46/153.45 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 153.46/153.45 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_int__eq__iff__number__of,axiom, % 153.46/153.45 ! [V_v_2,V_m_2] : % 153.46/153.45 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) % 153.46/153.45 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 153.46/153.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 153.46/153.45 ! [V_n,V_x] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__power__eq,axiom, % 153.46/153.45 ! [V_n,V_z] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 153.46/153.45 => hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),V_n) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_field__power__not__zero,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 153.46/153.45 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__mult__distrib,axiom, % 153.46/153.45 ! [V_n,V_b,V_a,T_a] : % 153.46/153.45 ( class_Groups_Ocomm__monoid__mult(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__commutes,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Groups_Omonoid__mult(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__one,axiom, % 153.46/153.45 ! [V_n,T_a] : % 153.46/153.45 ( class_Groups_Omonoid__mult(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_of__nat__power,axiom, % 153.46/153.45 ! [V_n,V_m,T_a] : % 153.46/153.45 ( class_Rings_Osemiring__1(T_a) % 153.46/153.45 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),V_n) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__mult,axiom, % 153.46/153.45 ! [V_n,V_m,V_a,T_a] : % 153.46/153.45 ( class_Groups_Omonoid__mult(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_one__div__nat__number__of,axiom, % 153.46/153.45 ! [V_v_H] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__abs,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__one__right,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Groups_Omonoid__mult(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__mono,axiom, % 153.46/153.45 ! [V_n,V_b,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zero__le__power,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zero__less__power,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__eq__0__iff,axiom, % 153.46/153.45 ! [V_na_2,V_a_2,T_b] : % 153.46/153.45 ( ( class_Power_Opower(T_b) % 153.46/153.45 & class_Rings_Omult__zero(T_b) % 153.46/153.45 & class_Rings_Ono__zero__divisors(T_b) % 153.46/153.45 & class_Rings_Ozero__neq__one(T_b) ) % 153.46/153.45 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.45 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.45 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_one__le__power,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__0__Suc,axiom, % 153.46/153.45 ! [V_n,T_a] : % 153.46/153.45 ( ( class_Power_Opower(T_a) % 153.46/153.45 & class_Rings_Osemiring__0(T_a) ) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_OSuc,V_n)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__inject__exp,axiom, % 153.46/153.45 ! [V_na_2,V_m_2,V_a_2,T_b] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_b) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)) % 153.46/153.45 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) % 153.46/153.45 <=> V_m_2 = V_na_2 ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__Suc,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Power_Opower(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__Suc2,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Groups_Omonoid__mult(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__0,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Power_Opower(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__add,axiom, % 153.46/153.45 ! [V_n,V_m,V_a,T_a] : % 153.46/153.45 ( class_Groups_Omonoid__mult(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__power__minus,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__less__imp__less__base,axiom, % 153.46/153.45 ! [V_b,V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__le__imp__le__base,axiom, % 153.46/153.45 ! [V_b,V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n)))) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__inject__base,axiom, % 153.46/153.45 ! [V_b,V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.45 => V_a = V_b ) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__less__power__Suc,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__gt1__lemma,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__0__left,axiom, % 153.46/153.45 ! [V_n,T_a] : % 153.46/153.45 ( ( class_Power_Opower(T_a) % 153.46/153.45 & class_Rings_Osemiring__0(T_a) ) % 153.46/153.45 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) % 153.46/153.45 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__gt1,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__strict__increasing__iff,axiom, % 153.46/153.45 ! [V_y_2,V_x_2,V_b_2,T_b] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_b) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__less__imp__less__exp,axiom, % 153.46/153.45 ! [V_n,V_m,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__strict__increasing,axiom, % 153.46/153.45 ! [V_a,V_N,V_n,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zero__le__power__abs,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__increasing,axiom, % 153.46/153.45 ! [V_a,V_N,V_n,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__minus,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Oring__1(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__Suc__less,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__eq__imp__eq__base,axiom, % 153.46/153.45 ! [V_b,V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.45 => V_a = V_b ) ) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Nitpick_Onat__lcm__def,axiom, % 153.46/153.45 ! [V_y,V_x] : c_Nitpick_Onat__lcm(V_x,V_y) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)),c_Nitpick_Onat__gcd(V_x,V_y)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Nitpick_Oint__gcd__def,axiom, % 153.46/153.45 ! [V_y,V_x] : hAPP(hAPP(c_Nitpick_Oint__gcd,V_x),V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__gcd(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_one__mod__nat__number__of,axiom, % 153.46/153.45 ! [V_v_H] : % 153.46/153.45 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 153.46/153.45 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 153.46/153.45 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__power__power,axiom, % 153.46/153.45 ! [T_b] : % 153.46/153.45 ( class_Power_Opower(T_b) % 153.46/153.45 => c_Power_Opower__class_Opower(T_b) = c_Power_Opower_Opower(T_b,c_Groups_Oone__class_Oone(T_b),c_Groups_Otimes__class_Otimes(T_b)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_div__nat__number__of,axiom, % 153.46/153.45 ! [V_v_H,V_v] : % 153.46/153.45 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mod__nat__number__of,axiom, % 153.46/153.45 ! [V_v_H,V_v] : % 153.46/153.45 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 153.46/153.45 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 153.46/153.45 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Nitpick_Oint__lcm__def,axiom, % 153.46/153.45 ! [V_y,V_x] : c_Nitpick_Oint__lcm(V_x,V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__lcm(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_not__neg__0,axiom, % 153.46/153.45 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_not__neg__int,axiom, % 153.46/153.45 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_not__neg__1,axiom, % 153.46/153.45 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_not__neg__eq__ge__0,axiom, % 153.46/153.45 ! [V_x_2] : % 153.46/153.45 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_neg__def,axiom, % 153.46/153.45 ! [V_Z_2] : % 153.46/153.45 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_neg__nat,axiom, % 153.46/153.45 ! [V_z] : % 153.46/153.45 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 153.46/153.45 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_not__neg__nat,axiom, % 153.46/153.45 ! [V_z] : % 153.46/153.45 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 153.46/153.45 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power_Opower_Opower__0,axiom, % 153.46/153.45 ! [V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ). % 153.46/153.45 % 153.46/153.45 fof(fact_power_Opower_Opower__Suc,axiom, % 153.46/153.45 ! [V_na_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_na_2)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_neg__imp__number__of__eq__0,axiom, % 153.46/153.45 ! [V_v] : % 153.46/153.45 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_neg__zminus__int,axiom, % 153.46/153.45 ! [V_n] : hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_eq__nat__number__of,axiom, % 153.46/153.45 ! [V_v_H_2,V_v_2] : % 153.46/153.45 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2) % 153.46/153.45 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 153.46/153.45 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 153.46/153.45 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 153.46/153.45 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__number__of__add__left,axiom, % 153.46/153.45 ! [V_k,V_v_H,V_v] : % 153.46/153.45 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_k) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_int__nat__number__of,axiom, % 153.46/153.45 ! [V_v] : % 153.46/153.45 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_of__nat__number__of__eq,axiom, % 153.46/153.45 ! [V_v,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(T_a) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__nat__number__of,axiom, % 153.46/153.45 ! [V_n,V_v] : % 153.46/153.45 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),V_n)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__nat__number__of__number__of,axiom, % 153.46/153.45 ! [V_w,V_v] : % 153.46/153.45 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Suc__nat__number__of__add,axiom, % 153.46/153.45 ! [V_n,V_v] : % 153.46/153.45 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v))),V_n) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Suc__nat__number__of,axiom, % 153.46/153.45 ! [V_v] : % 153.46/153.45 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.45 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zmod__minus1,axiom, % 153.46/153.45 ! [V_b] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.45 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_div__pos__neg__trivial,axiom, % 153.46/153.45 ! [V_b,V_a] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat0__intermed__int__val,axiom, % 153.46/153.45 ! [V_k_2,V_f_2,V_na_2] : % 153.46/153.45 ( ! [B_i] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 153.46/153.45 => ? [B_i] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 153.46/153.45 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_int__val__lemma,axiom, % 153.46/153.45 ! [V_k_2,V_f_2,V_na_2] : % 153.46/153.45 ( ! [B_i] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 153.46/153.45 => ? [B_i] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 153.46/153.45 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_eq__number__of__eq,axiom, % 153.46/153.45 ! [V_y_2,V_x_2,T_b] : % 153.46/153.45 ( class_Int_Onumber__ring(T_b) % 153.46/153.45 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 153.46/153.45 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_diff__bin__simps_I2_J,axiom, % 153.46/153.45 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nonzero__number__of__Min,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I24_J,axiom, % 153.46/153.45 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I7_J,axiom, % 153.46/153.45 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_iszero__0,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Rings_Osemiring__1(T_a) % 153.46/153.45 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_iszero__def,axiom, % 153.46/153.45 ! [V_z_2,T_b] : % 153.46/153.45 ( class_Rings_Osemiring__1(T_b) % 153.46/153.45 => ( c_Int_Oiszero(T_b,V_z_2) % 153.46/153.45 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_not__iszero__1,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Rings_Osemiring__1(T_a) % 153.46/153.45 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_bin__less__0__simps_I2_J,axiom, % 153.46/153.45 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Int_OMin__def,axiom, % 153.46/153.45 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mult__Min,axiom, % 153.46/153.45 ! [V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k) ). % 153.46/153.45 % 153.46/153.45 fof(fact_neg__number__of__Min,axiom, % 153.46/153.45 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mult__minus1,axiom, % 153.46/153.45 ! [V_z,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_z) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_z) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mult__minus1__right,axiom, % 153.46/153.45 ! [V_z,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_z) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_number__of__Min,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_arith__simps_I31_J,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__minus__one,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_a) % 153.46/153.45 & class_Rings_Olinordered__idom(T_a) ) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = c_Groups_Oone__class_Oone(T_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zmod__minus1__right,axiom, % 153.46/153.45 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 153.46/153.45 % 153.46/153.45 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 153.46/153.45 ! [V_n,V_m] : % 153.46/153.45 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 153.46/153.45 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 153.46/153.45 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zmult__eq__1__iff,axiom, % 153.46/153.45 ! [V_na_2,V_m_2] : % 153.46/153.45 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 153.46/153.45 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 153.46/153.45 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 153.46/153.45 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 153.46/153.45 & V_na_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_of__int__m1,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zdiv__minus1__right,axiom, % 153.46/153.45 ! [V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a) ). % 153.46/153.45 % 153.46/153.45 fof(fact_succ__def,axiom, % 153.46/153.45 ! [V_k] : c_Int_Osucc(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__power__minus__one,axiom, % 153.46/153.45 ! [V_n,T_a] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_a) % 153.46/153.45 & class_Rings_Olinordered__idom(T_a) ) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_div__eq__minus1,axiom, % 153.46/153.45 ! [V_b] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_number__of__succ,axiom, % 153.46/153.45 ! [V_k,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Osucc(V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__number__of__add__1,axiom, % 153.46/153.45 ! [V_v] : % 153.46/153.45 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__1__add__number__of,axiom, % 153.46/153.45 ! [V_v] : % 153.46/153.45 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_eq__special_I3_J,axiom, % 153.46/153.45 ! [V_x_2,T_b] : % 153.46/153.45 ( class_Int_Onumber__ring(T_b) % 153.46/153.45 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.45 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls)))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_eq__special_I1_J,axiom, % 153.46/153.45 ! [V_y_2,T_b] : % 153.46/153.45 ( class_Int_Onumber__ring(T_b) % 153.46/153.45 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 153.46/153.45 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_neg__number__of__pred__iff__0,axiom, % 153.46/153.45 ! [V_v_2] : % 153.46/153.45 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 153.46/153.45 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mult__nat__number__of,axiom, % 153.46/153.45 ! [V_v_H,V_v] : % 153.46/153.45 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__number__of__mult__left,axiom, % 153.46/153.45 ! [V_k,V_v_H,V_v] : % 153.46/153.45 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_pred__Pls,axiom, % 153.46/153.45 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 153.46/153.45 % 153.46/153.45 fof(fact_Pls__def,axiom, % 153.46/153.45 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I19_J,axiom, % 153.46/153.45 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I2_J,axiom, % 153.46/153.45 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__Pls__right,axiom, % 153.46/153.45 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__Pls,axiom, % 153.46/153.45 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 153.46/153.45 % 153.46/153.45 fof(fact_mult__Pls,axiom, % 153.46/153.45 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 153.46/153.45 % 153.46/153.45 fof(fact_diff__bin__simps_I1_J,axiom, % 153.46/153.45 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 153.46/153.45 % 153.46/153.45 fof(fact_minus__Pls,axiom, % 153.46/153.45 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I40_J,axiom, % 153.46/153.45 c_Int_OMin != c_Int_OPls ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I37_J,axiom, % 153.46/153.45 c_Int_OPls != c_Int_OMin ). % 153.46/153.45 % 153.46/153.45 fof(fact_succ__pred,axiom, % 153.46/153.45 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 153.46/153.45 % 153.46/153.45 fof(fact_number__of__Pls,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_semiring__norm_I112_J,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__numeral__0__right,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = V_a ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__numeral__0,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)),V_a) = V_a ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_bin__less__0__simps_I1_J,axiom, % 153.46/153.45 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__number__of__Pls,axiom, % 153.46/153.45 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.45 % 153.46/153.45 fof(fact_semiring__norm_I113_J,axiom, % 153.46/153.45 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zero__is__num__zero,axiom, % 153.46/153.45 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Suc__diff__number__of,axiom, % 153.46/153.45 ! [V_m,V_v] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I23_J,axiom, % 153.46/153.45 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I20_J,axiom, % 153.46/153.45 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I6_J,axiom, % 153.46/153.45 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I3_J,axiom, % 153.46/153.45 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_eq__number__of__Pls__Min,axiom, % 153.46/153.45 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ). % 153.46/153.45 % 153.46/153.45 fof(fact_not__neg__number__of__Pls,axiom, % 153.46/153.45 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_iszero__Numeral0,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_succ__Min,axiom, % 153.46/153.45 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 153.46/153.45 % 153.46/153.45 fof(fact_le__iff__pred__less,axiom, % 153.46/153.45 ! [V_l_2,V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_pred__def,axiom, % 153.46/153.45 ! [V_k] : c_Int_Opred(V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__Min,axiom, % 153.46/153.45 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__Min__right,axiom, % 153.46/153.45 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__number__of__diff__1,axiom, % 153.46/153.45 ! [V_v] : % 153.46/153.45 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_eq__number__of__0,axiom, % 153.46/153.45 ! [V_v_2] : % 153.46/153.45 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_eq__0__number__of,axiom, % 153.46/153.45 ! [V_v_2] : % 153.46/153.45 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_number__of2,axiom, % 153.46/153.45 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__nat__number__of,axiom, % 153.46/153.45 ! [V_v_H_2,V_v_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2))) % 153.46/153.45 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 153.46/153.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_le__nat__number__of,axiom, % 153.46/153.45 ! [V_v_H_2,V_v_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2))) % 153.46/153.45 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_le__special_I3_J,axiom, % 153.46/153.45 ! [V_x_2,T_b] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_b) % 153.46/153.45 & class_Rings_Olinordered__idom(T_b) ) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_le__special_I1_J,axiom, % 153.46/153.45 ! [V_y_2,T_b] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_b) % 153.46/153.45 & class_Rings_Olinordered__idom(T_b) ) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__special_I1_J,axiom, % 153.46/153.45 ! [V_y_2,T_b] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_b) % 153.46/153.45 & class_Rings_Olinordered__idom(T_b) ) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__special_I3_J,axiom, % 153.46/153.45 ! [V_x_2,T_b] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_b) % 153.46/153.45 & class_Rings_Olinordered__idom(T_b) ) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__0__number__of,axiom, % 153.46/153.45 ! [V_v_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__nat__number__of,axiom, % 153.46/153.45 ! [V_v_H,V_v] : % 153.46/153.45 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 153.46/153.45 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H)) ) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_number__of__pred,axiom, % 153.46/153.45 ! [V_w,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Opred(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_eq__special_I2_J,axiom, % 153.46/153.45 ! [V_y_2,T_b] : % 153.46/153.45 ( class_Int_Onumber__ring(T_b) % 153.46/153.45 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 153.46/153.45 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_eq__special_I4_J,axiom, % 153.46/153.45 ! [V_x_2,T_b] : % 153.46/153.45 ( class_Int_Onumber__ring(T_b) % 153.46/153.45 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 153.46/153.45 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_diff__special_I1_J,axiom, % 153.46/153.45 ! [V_w,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_diff__special_I2_J,axiom, % 153.46/153.45 ! [V_v,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 153.46/153.45 ! [V_v,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Suc__div__eq__add3__div,axiom, % 153.46/153.45 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),V_n) ). % 153.46/153.45 % 153.46/153.45 fof(fact_div__Suc__eq__div__add3,axiom, % 153.46/153.45 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I51_J,axiom, % 153.46/153.45 ! [V_l_2,V_k_2] : % 153.46/153.45 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 153.46/153.45 <=> V_k_2 = V_l_2 ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__eq__int__code_I16_J,axiom, % 153.46/153.45 ! [V_k2_2,V_k1_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I34_J,axiom, % 153.46/153.45 ! [V_l_2,V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__int__code_I16_J,axiom, % 153.46/153.45 ! [V_k2_2,V_k1_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I17_J,axiom, % 153.46/153.45 ! [V_l_2,V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I46_J,axiom, % 153.46/153.45 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I39_J,axiom, % 153.46/153.45 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I47_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 153.46/153.45 <=> V_k_2 = c_Int_OMin ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I43_J,axiom, % 153.46/153.45 ! [V_l_2] : % 153.46/153.45 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 153.46/153.45 <=> c_Int_OMin = V_l_2 ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Bit1__Min,axiom, % 153.46/153.45 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 153.46/153.45 % 153.46/153.45 fof(fact_bin__less__0__simps_I4_J,axiom, % 153.46/153.45 ! [V_w_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I22_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I12_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Bit1__def,axiom, % 153.46/153.45 ! [V_k] : c_Int_OBit1(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)),V_k) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I30_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I26_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I13_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I9_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_neg__number__of__Bit1,axiom, % 153.46/153.45 ! [V_w_2] : % 153.46/153.45 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 153.46/153.45 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_minus__Bit1,axiom, % 153.46/153.45 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(V_k)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_iszero__number__of__Bit1,axiom, % 153.46/153.45 ! [V_w,T_a] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_a) % 153.46/153.45 & class_Int_Oring__char__0(T_a) ) % 153.46/153.45 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_succ__Pls,axiom, % 153.46/153.45 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 153.46/153.45 % 153.46/153.45 fof(fact_number__of__Bit1,axiom, % 153.46/153.45 ! [V_w,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mult__numeral__1,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))),V_a) = V_a ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mult__numeral__1__right,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_numeral__1__eq__1,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_semiring__norm_I110_J,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I5_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I29_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_one__is__num__one,axiom, % 153.46/153.45 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__numeral__1__eq__1,axiom, % 153.46/153.45 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Numeral1__eq1__nat,axiom, % 153.46/153.45 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_diff__bin__simps_I4_J,axiom, % 153.46/153.45 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_minus__Min,axiom, % 153.46/153.45 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 153.46/153.45 % 153.46/153.45 fof(fact_not__iszero__Numeral1,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_numeral__1__eq__Suc__0,axiom, % 153.46/153.45 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_numeral__3__eq__3,axiom, % 153.46/153.45 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power3__eq__cube,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Groups_Omonoid__mult(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),V_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 153.46/153.45 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Suc3__eq__add__3,axiom, % 153.46/153.45 ! [V_n] : hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n) ). % 153.46/153.45 % 153.46/153.45 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 153.46/153.45 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 153.46/153.45 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_le__special_I2_J,axiom, % 153.46/153.45 ! [V_y_2,T_b] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_b) % 153.46/153.45 & class_Rings_Olinordered__idom(T_b) ) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_le__special_I4_J,axiom, % 153.46/153.45 ! [V_x_2,T_b] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_b) % 153.46/153.45 & class_Rings_Olinordered__idom(T_b) ) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__special_I2_J,axiom, % 153.46/153.45 ! [V_y_2,T_b] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_b) % 153.46/153.45 & class_Rings_Olinordered__idom(T_b) ) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__special_I4_J,axiom, % 153.46/153.45 ! [V_x_2,T_b] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_b) % 153.46/153.45 & class_Rings_Olinordered__idom(T_b) ) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__special_I3_J,axiom, % 153.46/153.45 ! [V_v,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),c_Int_OBit1(c_Int_OPls))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__special_I2_J,axiom, % 153.46/153.45 ! [V_w,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_w)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Suc__diff__eq__diff__pred,axiom, % 153.46/153.45 ! [V_m,V_n] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls)),V_n)) % 153.46/153.45 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mod__Suc__eq__mod__add3,axiom, % 153.46/153.45 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Suc__mod__eq__add3__mod,axiom, % 153.46/153.45 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),V_n) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 153.46/153.45 ! [V_v,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zmod__number__of__Bit1,axiom, % 153.46/153.45 ! [V_v,V_w] : % 153.46/153.45 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 153.46/153.45 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) % 153.46/153.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 153.46/153.45 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_neg__zmod__mult__2,axiom, % 153.46/153.45 ! [V_b,V_a] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.45 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_a))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_pos__zdiv__mult__2,axiom, % 153.46/153.45 ! [V_b,V_a] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_neg__zdiv__mult__2,axiom, % 153.46/153.45 ! [V_b,V_a] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_pos__zmod__mult__2,axiom, % 153.46/153.45 ! [V_b,V_a] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.45 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_a))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_of__nat__double,axiom, % 153.46/153.45 ! [V_x,T_a] : % 153.46/153.45 ( class_Rings_Osemiring__1(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 153.46/153.45 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I48_J,axiom, % 153.46/153.45 ! [V_l_2,V_k_2] : % 153.46/153.45 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 153.46/153.45 <=> V_k_2 = V_l_2 ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I31_J,axiom, % 153.46/153.45 ! [V_l_2,V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__eq__int__code_I13_J,axiom, % 153.46/153.45 ! [V_k2_2,V_k1_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I14_J,axiom, % 153.46/153.45 ! [V_l_2,V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__int__code_I13_J,axiom, % 153.46/153.45 ! [V_k2_2,V_k1_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Bit0__Pls,axiom, % 153.46/153.45 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I38_J,axiom, % 153.46/153.45 ! [V_l_2] : % 153.46/153.45 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 153.46/153.45 <=> c_Int_OPls = V_l_2 ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I44_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 153.46/153.45 <=> V_k_2 = c_Int_OPls ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I49_J,axiom, % 153.46/153.45 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I50_J,axiom, % 153.46/153.45 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__Bit0__Bit0,axiom, % 153.46/153.45 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Bit0__def,axiom, % 153.46/153.45 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mult__Bit0,axiom, % 153.46/153.45 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit0(V_k)),V_l) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_diff__bin__simps_I7_J,axiom, % 153.46/153.45 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_minus__Bit0,axiom, % 153.46/153.45 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit0(V_k)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I42_J,axiom, % 153.46/153.45 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I45_J,axiom, % 153.46/153.45 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 153.46/153.45 % 153.46/153.45 fof(fact_bin__less__0__simps_I3_J,axiom, % 153.46/153.45 ! [V_w_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I21_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I27_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I32_J,axiom, % 153.46/153.45 ! [V_l_2,V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__eq__int__code_I14_J,axiom, % 153.46/153.45 ! [V_k2_2,V_k1_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I4_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I10_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I16_J,axiom, % 153.46/153.45 ! [V_l_2,V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__int__code_I15_J,axiom, % 153.46/153.45 ! [V_k2_2,V_k1_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__Bit0__Bit1,axiom, % 153.46/153.45 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__Bit1__Bit0,axiom, % 153.46/153.45 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_diff__bin__simps_I3_J,axiom, % 153.46/153.45 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),V_l)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_diff__bin__simps_I9_J,axiom, % 153.46/153.45 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_diff__bin__simps_I10_J,axiom, % 153.46/153.45 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I28_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I8_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zdiv__number__of__Bit0,axiom, % 153.46/153.45 ! [V_w,V_v] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_neg__number__of__Bit0,axiom, % 153.46/153.45 ! [V_w_2] : % 153.46/153.45 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 153.46/153.45 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_pred__Bit0,axiom, % 153.46/153.45 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_pred__Bit1,axiom, % 153.46/153.45 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 153.46/153.45 % 153.46/153.45 fof(fact_pred__Min,axiom, % 153.46/153.45 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 153.46/153.45 % 153.46/153.45 fof(fact_iszero__number__of__Bit0,axiom, % 153.46/153.45 ! [V_w_2,T_b] : % 153.46/153.45 ( ( class_Int_Onumber__ring(T_b) % 153.46/153.45 & class_Int_Oring__char__0(T_b) ) % 153.46/153.45 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2))) % 153.46/153.45 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_succ__Bit1,axiom, % 153.46/153.45 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_succ__Bit0,axiom, % 153.46/153.45 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 153.46/153.45 % 153.46/153.45 fof(fact_number__of__Bit0,axiom, % 153.46/153.45 ! [V_w,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__eq__int__code_I15_J,axiom, % 153.46/153.45 ! [V_k2_2,V_k1_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I33_J,axiom, % 153.46/153.45 ! [V_l_2,V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__int__code_I14_J,axiom, % 153.46/153.45 ! [V_k2_2,V_k1_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I15_J,axiom, % 153.46/153.45 ! [V_l_2,V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mult__Bit1,axiom, % 153.46/153.45 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit1(V_k)),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l))),V_l) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I11_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_rel__simps_I25_J,axiom, % 153.46/153.45 ! [V_k_2] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 153.46/153.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_diff__bin__simps_I5_J,axiom, % 153.46/153.45 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_diff__bin__simps_I6_J,axiom, % 153.46/153.45 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_diff__bin__simps_I8_J,axiom, % 153.46/153.45 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Opred(V_k)),V_l)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__Bit1__Bit1,axiom, % 153.46/153.45 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_Osucc(V_l))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_double__number__of__Bit0,axiom, % 153.46/153.45 ! [V_w,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_number__of1,axiom, % 153.46/153.45 ! [V_n] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n))) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_n)))) % 153.46/153.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_n)))) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mult__2__right,axiom, % 153.46/153.45 ! [V_z,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mult__2,axiom, % 153.46/153.45 ! [V_z,T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_one__add__one__is__two,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Int_Onumber__ring(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zero__eq__power2,axiom, % 153.46/153.45 ! [V_a_2,T_b] : % 153.46/153.45 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 153.46/153.45 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.45 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zero__power2,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Rings_Osemiring__1(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_numeral__2__eq__2,axiom, % 153.46/153.45 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_semiring__norm_I115_J,axiom, % 153.46/153.45 hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power2__eq__square,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Groups_Omonoid__mult(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 153.46/153.45 ! [V_x,T_a] : % 153.46/153.45 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 153.46/153.45 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__2__eq__Suc,axiom, % 153.46/153.45 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__2__eq__Suc_H,axiom, % 153.46/153.45 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ). % 153.46/153.45 % 153.46/153.45 fof(fact_one__power2,axiom, % 153.46/153.45 ! [T_a] : % 153.46/153.45 ( class_Rings_Osemiring__1(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_a) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power2__minus,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Rings_Oring__1(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__mult__2,axiom, % 153.46/153.45 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__mult__2__right,axiom, % 153.46/153.45 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_z),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__even__eq,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Groups_Omonoid__mult(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 153.46/153.45 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 153.46/153.45 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_abs__power2,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power2__abs,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__1__add__1,axiom, % 153.46/153.45 hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_mod2__Suc__Suc,axiom, % 153.46/153.45 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_div2__Suc__Suc,axiom, % 153.46/153.45 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zmod__number__of__Bit0,axiom, % 153.46/153.45 ! [V_w,V_v] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_add__self__div__2,axiom, % 153.46/153.45 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = V_m ). % 153.46/153.45 % 153.46/153.45 fof(fact_power2__eq__imp__eq,axiom, % 153.46/153.45 ! [V_y,V_x,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 153.46/153.45 => V_x = V_y ) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power2__le__imp__le,axiom, % 153.46/153.45 ! [V_y,V_x,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zero__le__power2,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power2__less__0,axiom, % 153.46/153.45 ! [V_a,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.45 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_zero__less__power2,axiom, % 153.46/153.45 ! [V_a_2,T_b] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 153.46/153.45 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_sum__power2__eq__zero__iff,axiom, % 153.46/153.45 ! [V_y_2,V_x_2,T_b] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.45 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.45 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.45 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power2__eq__square__number__of,axiom, % 153.46/153.45 ! [V_w,T_b] : % 153.46/153.45 ( ( class_Groups_Omonoid__mult(T_b) % 153.46/153.45 & class_Int_Onumber(T_b) ) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_less__2__cases,axiom, % 153.46/153.45 ! [V_n] : % 153.46/153.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) % 153.46/153.45 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.45 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_nat__2,axiom, % 153.46/153.45 hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power2__eq__1__iff,axiom, % 153.46/153.45 ! [V_a_2,T_b] : % 153.46/153.45 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 153.46/153.45 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_b) % 153.46/153.45 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b) % 153.46/153.45 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 153.46/153.45 ! [V_n,V_x,T_a] : % 153.46/153.45 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power__minus__even,axiom, % 153.46/153.45 ! [V_n,V_a,T_a] : % 153.46/153.45 ( class_Rings_Oring__1(T_a) % 153.46/153.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_power2__less__imp__less,axiom, % 153.46/153.45 ! [V_y,V_x,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__semidom(T_a) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_sum__power2__le__zero__iff,axiom, % 153.46/153.45 ! [V_y_2,V_x_2,T_b] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.45 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.45 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_sum__power2__ge__zero,axiom, % 153.46/153.45 ! [V_y,V_x,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_not__sum__power2__lt__zero,axiom, % 153.46/153.45 ! [V_y,V_x,T_a] : % 153.46/153.45 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.45 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 153.46/153.45 % 153.46/153.45 fof(fact_sum__power2__gt__zero__iff,axiom, % 153.46/153.46 ! [V_y_2,V_x_2,T_b] : % 153.46/153.46 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) % 153.46/153.46 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_power2__sum,axiom, % 153.46/153.46 ! [V_y,V_x,T_a] : % 153.46/153.46 ( class_Int_Onumber__ring(T_a) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_zero__le__even__power_H,axiom, % 153.46/153.46 ! [V_n,V_a,T_a] : % 153.46/153.46 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_power__odd__eq,axiom, % 153.46/153.46 ! [V_n,V_a,T_a] : % 153.46/153.46 ( class_Groups_Omonoid__mult(T_a) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 153.46/153.46 ! [V_n,V_x,T_a] : % 153.46/153.46 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_power__minus1__even,axiom, % 153.46/153.46 ! [V_n,T_a] : % 153.46/153.46 ( class_Rings_Oring__1(T_a) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_zdiv__number__of__Bit1,axiom, % 153.46/153.46 ! [V_v,V_w] : % 153.46/153.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 153.46/153.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 153.46/153.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mod2__gr__0,axiom, % 153.46/153.46 ! [V_m_2] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 153.46/153.46 <=> c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_div__2__gt__zero,axiom, % 153.46/153.46 ! [V_n] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_power2__diff,axiom, % 153.46/153.46 ! [V_y,V_x,T_a] : % 153.46/153.46 ( class_Int_Onumber__ring(T_a) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_odd__0__le__power__imp__0__le,axiom, % 153.46/153.46 ! [V_n,V_a,T_a] : % 153.46/153.46 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_odd__power__less__zero,axiom, % 153.46/153.46 ! [V_n,V_a,T_a] : % 153.46/153.46 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_power__minus1__odd,axiom, % 153.46/153.46 ! [V_n,T_a] : % 153.46/153.46 ( class_Rings_Oring__1(T_a) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_power__m1__even,axiom, % 153.46/153.46 ! [V_n,T_a] : % 153.46/153.46 ( class_Int_Onumber__ring(T_a) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_power__m1__odd,axiom, % 153.46/153.46 ! [V_n,T_a] : % 153.46/153.46 ( class_Int_Onumber__ring(T_a) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Suc__n__div__2__gt__zero,axiom, % 153.46/153.46 ! [V_n] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_int__of__code,axiom, % 153.46/153.46 ! [V_k] : % 153.46/153.46 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 153.46/153.46 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 153.46/153.46 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 153.46/153.46 => ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 153.46/153.46 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) % 153.46/153.46 & ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 153.46/153.46 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_one__code__numeral__code,axiom, % 153.46/153.46 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OPls)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_half__gt__zero__iff,axiom, % 153.46/153.46 ! [V_r_2,T_b] : % 153.46/153.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 & class_Int_Onumber__ring(T_b) ) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_half__gt__zero,axiom, % 153.46/153.46 ! [V_r,T_a] : % 153.46/153.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 153.46/153.46 & class_Int_Onumber__ring(T_a) ) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_r),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 153.46/153.46 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nat__intermed__int__val,axiom, % 153.46/153.46 ! [V_k_2,V_f_2,V_na_2,V_m_2] : % 153.46/153.46 ( ! [B_i] : % 153.46/153.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 153.46/153.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) ) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 153.46/153.46 => ? [B_i] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 153.46/153.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 153.46/153.46 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_code__numeral__zero__minus__one,axiom, % 153.46/153.46 hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__zero__left,axiom, % 153.46/153.46 ! [V_a,T_a] : % 153.46/153.46 ( class_Rings_Odivision__ring(T_a) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__zero,axiom, % 153.46/153.46 ! [V_a,T_a] : % 153.46/153.46 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_add__divide__distrib,axiom, % 153.46/153.46 ! [V_c,V_b,V_a,T_a] : % 153.46/153.46 ( class_Rings_Odivision__ring(T_a) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_times__divide__times__eq,axiom, % 153.46/153.46 ! [V_w,V_z,V_y,V_x,T_a] : % 153.46/153.46 ( class_Fields_Ofield__inverse__zero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_z),V_w)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_w)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_times__divide__eq__right,axiom, % 153.46/153.46 ! [V_c,V_b,V_a,T_a] : % 153.46/153.46 ( class_Rings_Odivision__ring(T_a) % 153.46/153.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_diff__divide__distrib,axiom, % 153.46/153.46 ! [V_c,V_b,V_a,T_a] : % 153.46/153.46 ( class_Rings_Odivision__ring(T_a) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__1,axiom, % 153.46/153.46 ! [V_a,T_a] : % 153.46/153.46 ( class_Rings_Odivision__ring(T_a) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_minus__divide__right,axiom, % 153.46/153.46 ! [V_b,V_a,T_a] : % 153.46/153.46 ( class_Fields_Ofield__inverse__zero(T_a) % 153.46/153.46 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_minus__divide__divide,axiom, % 153.46/153.46 ! [V_b,V_a,T_a] : % 153.46/153.46 ( class_Fields_Ofield__inverse__zero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_minus__divide__left,axiom, % 153.46/153.46 ! [V_b,V_a,T_a] : % 153.46/153.46 ( class_Rings_Odivision__ring(T_a) % 153.46/153.46 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_power__divide,axiom, % 153.46/153.46 ! [V_n,V_b,V_a,T_a] : % 153.46/153.46 ( class_Fields_Ofield__inverse__zero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_abs__divide,axiom, % 153.46/153.46 ! [V_b,V_a,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 153.46/153.46 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 153.46/153.46 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 153.46/153.46 ! [V_y,V_x] : % 153.46/153.46 ( c_Nat__Transfer_Ois__nat(V_x) % 153.46/153.46 => ( c_Nat__Transfer_Ois__nat(V_y) % 153.46/153.46 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 153.46/153.46 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 153.46/153.46 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 153.46/153.46 ! [V_y,V_x] : % 153.46/153.46 ( c_Nat__Transfer_Ois__nat(V_x) % 153.46/153.46 => ( c_Nat__Transfer_Ois__nat(V_y) % 153.46/153.46 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 153.46/153.46 ! [V_y,V_x] : % 153.46/153.46 ( c_Nat__Transfer_Ois__nat(V_x) % 153.46/153.46 => ( c_Nat__Transfer_Ois__nat(V_y) % 153.46/153.46 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 153.46/153.46 ! [V_y,V_x] : % 153.46/153.46 ( c_Nat__Transfer_Ois__nat(V_x) % 153.46/153.46 => ( c_Nat__Transfer_Ois__nat(V_y) % 153.46/153.46 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 153.46/153.46 ! [V_n,V_x] : % 153.46/153.46 ( c_Nat__Transfer_Ois__nat(V_x) % 153.46/153.46 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__right__mono__neg,axiom, % 153.46/153.46 ! [V_c,V_b,V_a,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__right__mono,axiom, % 153.46/153.46 ! [V_c,V_b,V_a,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__le__0__iff,axiom, % 153.46/153.46 ! [V_b_2,V_a_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 153.46/153.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 153.46/153.46 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_zero__le__divide__iff,axiom, % 153.46/153.46 ! [V_b_2,V_a_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2))) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 153.46/153.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 153.46/153.46 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_zero__less__divide__iff,axiom, % 153.46/153.46 ! [V_b_2,V_a_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2))) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 153.46/153.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 153.46/153.46 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__less__0__iff,axiom, % 153.46/153.46 ! [V_b_2,V_a_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 153.46/153.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 153.46/153.46 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__pos__pos,axiom, % 153.46/153.46 ! [V_y,V_x,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__pos__neg,axiom, % 153.46/153.46 ! [V_y,V_x,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__neg__pos,axiom, % 153.46/153.46 ! [V_y,V_x,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__neg__neg,axiom, % 153.46/153.46 ! [V_y,V_x,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__strict__right__mono,axiom, % 153.46/153.46 ! [V_c,V_b,V_a,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__strict__right__mono__neg,axiom, % 153.46/153.46 ! [V_c,V_a,V_b,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_frac__eq__eq,axiom, % 153.46/153.46 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] : % 153.46/153.46 ( class_Fields_Ofield(T_b) % 153.46/153.46 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_w_2),V_z_2) % 153.46/153.46 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mult__divide__mult__cancel__left,axiom, % 153.46/153.46 ! [V_b,V_a,V_c,T_a] : % 153.46/153.46 ( class_Fields_Ofield__inverse__zero(T_a) % 153.46/153.46 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mult__divide__mult__cancel__right,axiom, % 153.46/153.46 ! [V_b,V_a,V_c,T_a] : % 153.46/153.46 ( class_Fields_Ofield__inverse__zero(T_a) % 153.46/153.46 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__eq__eq,axiom, % 153.46/153.46 ! [V_a_2,V_c_2,V_b_2,T_b] : % 153.46/153.46 ( class_Fields_Ofield__inverse__zero(T_b) % 153.46/153.46 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 153.46/153.46 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) % 153.46/153.46 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_eq__divide__eq,axiom, % 153.46/153.46 ! [V_c_2,V_b_2,V_a_2,T_b] : % 153.46/153.46 ( class_Fields_Ofield__inverse__zero(T_b) % 153.46/153.46 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 153.46/153.46 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) % 153.46/153.46 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nonzero__eq__divide__eq,axiom, % 153.46/153.46 ! [V_b_2,V_a_2,V_c_2,T_b] : % 153.46/153.46 ( class_Rings_Odivision__ring(T_b) % 153.46/153.46 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 153.46/153.46 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nonzero__divide__eq__eq,axiom, % 153.46/153.46 ! [V_a_2,V_b_2,V_c_2,T_b] : % 153.46/153.46 ( class_Rings_Odivision__ring(T_b) % 153.46/153.46 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 153.46/153.46 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__eq__imp,axiom, % 153.46/153.46 ! [V_a,V_b,V_c,T_a] : % 153.46/153.46 ( class_Rings_Odivision__ring(T_a) % 153.46/153.46 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_eq__divide__imp,axiom, % 153.46/153.46 ! [V_b,V_a,V_c,T_a] : % 153.46/153.46 ( class_Rings_Odivision__ring(T_a) % 153.46/153.46 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 153.46/153.46 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__self__if,axiom, % 153.46/153.46 ! [V_a,T_a] : % 153.46/153.46 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 153.46/153.46 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 153.46/153.46 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__self,axiom, % 153.46/153.46 ! [V_a,T_a] : % 153.46/153.46 ( class_Rings_Odivision__ring(T_a) % 153.46/153.46 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_right__inverse__eq,axiom, % 153.46/153.46 ! [V_a_2,V_b_2,T_b] : % 153.46/153.46 ( class_Rings_Odivision__ring(T_b) % 153.46/153.46 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b) % 153.46/153.46 <=> V_a_2 = V_b_2 ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nonzero__minus__divide__right,axiom, % 153.46/153.46 ! [V_a,V_b,T_a] : % 153.46/153.46 ( class_Rings_Odivision__ring(T_a) % 153.46/153.46 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nonzero__minus__divide__divide,axiom, % 153.46/153.46 ! [V_a,V_b,T_a] : % 153.46/153.46 ( class_Rings_Odivision__ring(T_a) % 153.46/153.46 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nonzero__power__divide,axiom, % 153.46/153.46 ! [V_n,V_a,V_b,T_a] : % 153.46/153.46 ( class_Fields_Ofield(T_a) % 153.46/153.46 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nonzero__abs__divide,axiom, % 153.46/153.46 ! [V_a,V_b,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_power__one__over,axiom, % 153.46/153.46 ! [V_n,V_a,T_a] : % 153.46/153.46 ( class_Fields_Ofield__inverse__zero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)),V_n) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 153.46/153.46 ! [V_y,V_x] : % 153.46/153.46 ( c_Nat__Transfer_Ois__nat(V_x) % 153.46/153.46 => ( c_Nat__Transfer_Ois__nat(V_y) % 153.46/153.46 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__nonneg__pos,axiom, % 153.46/153.46 ! [V_y,V_x,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__nonneg__neg,axiom, % 153.46/153.46 ! [V_y,V_x,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_frac__less2,axiom, % 153.46/153.46 ! [V_z,V_w,V_y,V_x,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_frac__less,axiom, % 153.46/153.46 ! [V_z,V_w,V_y,V_x,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_frac__le,axiom, % 153.46/153.46 ! [V_z,V_w,V_y,V_x,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__nonpos__pos,axiom, % 153.46/153.46 ! [V_y,V_x,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__nonpos__neg,axiom, % 153.46/153.46 ! [V_y,V_x,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_less__divide__eq,axiom, % 153.46/153.46 ! [V_c_2,V_b_2,V_a_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__less__eq,axiom, % 153.46/153.46 ! [V_a_2,V_c_2,V_b_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_pos__less__divide__eq,axiom, % 153.46/153.46 ! [V_b_2,V_a_2,V_c_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_pos__divide__less__eq,axiom, % 153.46/153.46 ! [V_a_2,V_b_2,V_c_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mult__imp__div__pos__less,axiom, % 153.46/153.46 ! [V_z,V_x,V_y,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mult__imp__less__div__pos,axiom, % 153.46/153.46 ! [V_x,V_z,V_y,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_neg__less__divide__eq,axiom, % 153.46/153.46 ! [V_b_2,V_a_2,V_c_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_neg__divide__less__eq,axiom, % 153.46/153.46 ! [V_a_2,V_b_2,V_c_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__strict__left__mono,axiom, % 153.46/153.46 ! [V_c,V_a,V_b,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__strict__left__mono__neg,axiom, % 153.46/153.46 ! [V_c,V_b,V_a,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_is__nat__def,axiom, % 153.46/153.46 ! [V_x_2] : % 153.46/153.46 ( c_Nat__Transfer_Ois__nat(V_x_2) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_add__num__frac,axiom, % 153.46/153.46 ! [V_x,V_z,V_y,T_a] : % 153.46/153.46 ( class_Fields_Ofield__inverse__zero(T_a) % 153.46/153.46 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_add__divide__eq__iff,axiom, % 153.46/153.46 ! [V_y,V_x,V_z,T_a] : % 153.46/153.46 ( class_Fields_Ofield(T_a) % 153.46/153.46 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_add__frac__num,axiom, % 153.46/153.46 ! [V_z,V_x,V_y,T_a] : % 153.46/153.46 ( class_Fields_Ofield__inverse__zero(T_a) % 153.46/153.46 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__add__eq__iff,axiom, % 153.46/153.46 ! [V_y,V_x,V_z,T_a] : % 153.46/153.46 ( class_Fields_Ofield(T_a) % 153.46/153.46 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_add__frac__eq,axiom, % 153.46/153.46 ! [V_w,V_x,V_z,V_y,T_a] : % 153.46/153.46 ( class_Fields_Ofield(T_a) % 153.46/153.46 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_diff__divide__eq__iff,axiom, % 153.46/153.46 ! [V_y,V_x,V_z,T_a] : % 153.46/153.46 ( class_Fields_Ofield(T_a) % 153.46/153.46 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__diff__eq__iff,axiom, % 153.46/153.46 ! [V_y,V_x,V_z,T_a] : % 153.46/153.46 ( class_Fields_Ofield(T_a) % 153.46/153.46 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_diff__frac__eq,axiom, % 153.46/153.46 ! [V_w,V_x,V_z,V_y,T_a] : % 153.46/153.46 ( class_Fields_Ofield(T_a) % 153.46/153.46 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_eq__divide__eq__number__of1,axiom, % 153.46/153.46 ! [V_w_2,V_b_2,V_a_2,T_b] : % 153.46/153.46 ( ( class_Fields_Ofield__inverse__zero(T_b) % 153.46/153.46 & class_Int_Onumber(T_b) ) % 153.46/153.46 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) % 153.46/153.46 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_b_2 ) % 153.46/153.46 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_eq__divide__eq__number__of,axiom, % 153.46/153.46 ! [V_c_2,V_b_2,V_w_2,T_b] : % 153.46/153.46 ( ( class_Fields_Ofield__inverse__zero(T_b) % 153.46/153.46 & class_Int_Onumber(T_b) ) % 153.46/153.46 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 153.46/153.46 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) = V_b_2 ) % 153.46/153.46 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__eq__eq__number__of,axiom, % 153.46/153.46 ! [V_w_2,V_c_2,V_b_2,T_b] : % 153.46/153.46 ( ( class_Fields_Ofield__inverse__zero(T_b) % 153.46/153.46 & class_Int_Onumber(T_b) ) % 153.46/153.46 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) % 153.46/153.46 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) ) % 153.46/153.46 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__eq__eq__number__of1,axiom, % 153.46/153.46 ! [V_a_2,V_w_2,V_b_2,T_b] : % 153.46/153.46 ( ( class_Fields_Ofield__inverse__zero(T_b) % 153.46/153.46 & class_Int_Onumber(T_b) ) % 153.46/153.46 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_a_2 % 153.46/153.46 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) % 153.46/153.46 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 153.46/153.46 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_less__half__sum,axiom, % 153.46/153.46 ! [V_b,V_a,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_gt__half__sum,axiom, % 153.46/153.46 ! [V_b,V_a,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))),V_b)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__Numeral0,axiom, % 153.46/153.46 ! [V_x,T_a] : % 153.46/153.46 ( ( class_Fields_Ofield__inverse__zero(T_a) % 153.46/153.46 & class_Int_Onumber__ring(T_a) ) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_abs__div__pos,axiom, % 153.46/153.46 ! [V_x,V_y,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)),V_y) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__Numeral1,axiom, % 153.46/153.46 ! [V_x,T_a] : % 153.46/153.46 ( ( class_Fields_Ofield(T_a) % 153.46/153.46 & class_Int_Onumber__ring(T_a) ) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_x ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__numeral__1,axiom, % 153.46/153.46 ! [V_a,T_a] : % 153.46/153.46 ( ( class_Fields_Ofield(T_a) % 153.46/153.46 & class_Int_Onumber__ring(T_a) ) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__minus1,axiom, % 153.46/153.46 ! [V_x,T_a] : % 153.46/153.46 ( ( class_Fields_Ofield__inverse__zero(T_a) % 153.46/153.46 & class_Int_Onumber__ring(T_a) ) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_zero__code__numeral__code,axiom, % 153.46/153.46 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OPls) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__left__mono__neg,axiom, % 153.46/153.46 ! [V_c,V_b,V_a,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__left__mono,axiom, % 153.46/153.46 ! [V_c,V_a,V_b,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_neg__divide__le__eq,axiom, % 153.46/153.46 ! [V_a_2,V_b_2,V_c_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_neg__le__divide__eq,axiom, % 153.46/153.46 ! [V_b_2,V_a_2,V_c_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mult__imp__le__div__pos,axiom, % 153.46/153.46 ! [V_x,V_z,V_y,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mult__imp__div__pos__le,axiom, % 153.46/153.46 ! [V_z,V_x,V_y,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_pos__divide__le__eq,axiom, % 153.46/153.46 ! [V_a_2,V_b_2,V_c_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_pos__le__divide__eq,axiom, % 153.46/153.46 ! [V_b_2,V_a_2,V_c_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__le__eq,axiom, % 153.46/153.46 ! [V_a_2,V_c_2,V_b_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_le__divide__eq,axiom, % 153.46/153.46 ! [V_c_2,V_b_2,V_a_2,T_b] : % 153.46/153.46 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__less__eq__number__of1,axiom, % 153.46/153.46 ! [V_a_2,V_w_2,V_b_2,T_b] : % 153.46/153.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 & class_Int_Onumber(T_b) ) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2)) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__less__eq__number__of,axiom, % 153.46/153.46 ! [V_w_2,V_c_2,V_b_2,T_b] : % 153.46/153.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 & class_Int_Onumber(T_b) ) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_less__divide__eq__number__of,axiom, % 153.46/153.46 ! [V_c_2,V_b_2,V_w_2,T_b] : % 153.46/153.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 & class_Int_Onumber(T_b) ) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_less__divide__eq__number__of1,axiom, % 153.46/153.46 ! [V_w_2,V_b_2,V_a_2,T_b] : % 153.46/153.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 & class_Int_Onumber(T_b) ) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_power__diff,axiom, % 153.46/153.46 ! [V_m,V_n,V_a,T_a] : % 153.46/153.46 ( class_Fields_Ofield(T_a) % 153.46/153.46 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_minus1__divide,axiom, % 153.46/153.46 ! [V_x,T_a] : % 153.46/153.46 ( ( class_Fields_Ofield__inverse__zero(T_a) % 153.46/153.46 & class_Int_Onumber__ring(T_a) ) % 153.46/153.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_x)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 153.46/153.46 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_le__divide__eq__number__of1,axiom, % 153.46/153.46 ! [V_w_2,V_b_2,V_a_2,T_b] : % 153.46/153.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 & class_Int_Onumber(T_b) ) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_le__divide__eq__number__of,axiom, % 153.46/153.46 ! [V_c_2,V_b_2,V_w_2,T_b] : % 153.46/153.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 & class_Int_Onumber(T_b) ) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__le__eq__number__of,axiom, % 153.46/153.46 ! [V_w_2,V_c_2,V_b_2,T_b] : % 153.46/153.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 & class_Int_Onumber(T_b) ) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divide__le__eq__number__of1,axiom, % 153.46/153.46 ! [V_a_2,V_w_2,V_b_2,T_b] : % 153.46/153.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 153.46/153.46 & class_Int_Onumber(T_b) ) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2)) % 153.46/153.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nat__of__aux__code,axiom, % 153.46/153.46 ! [V_n,V_i] : % 153.46/153.46 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 153.46/153.46 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 153.46/153.46 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 153.46/153.46 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),hAPP(c_Nat_OSuc,V_n)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_code__numeral_Osize_I1_J,axiom, % 153.46/153.46 c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.46 % 153.46/153.46 fof(fact_code__numeral_Osize_I3_J,axiom, % 153.46/153.46 hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.46 % 153.46/153.46 fof(fact_code__numeral_Osimps_I4_J,axiom, % 153.46/153.46 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ). % 153.46/153.46 % 153.46/153.46 fof(fact_log_Osimps,axiom, % 153.46/153.46 ! [V_i,V_b] : % 153.46/153.46 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) % 153.46/153.46 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 153.46/153.46 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 153.46/153.46 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) % 153.46/153.46 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 153.46/153.46 => c_Random_Olog(V_b,V_i) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),c_Random_Olog(V_b,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_i),V_b))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_field__le__epsilon,axiom, % 153.46/153.46 ! [V_y,V_x,T_a] : % 153.46/153.46 ( class_Fields_Olinordered__field(T_a) % 153.46/153.46 => ( ! [B_e] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),B_e))) ) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_minus__shift__def,axiom, % 153.46/153.46 ! [V_r,V_l,V_k] : % 153.46/153.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 153.46/153.46 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_r),V_k)),V_l) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 153.46/153.46 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k),V_l) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_inc__shift__def,axiom, % 153.46/153.46 ! [V_k,V_v] : % 153.46/153.46 ( ( V_v = V_k % 153.46/153.46 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 153.46/153.46 & ( V_v != V_k % 153.46/153.46 => c_Random_Oinc__shift(V_v,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_k),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_code__numeral_Osize_I4_J,axiom, % 153.46/153.46 ! [V_code__numeral] : hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_code__numeral_Osize_I2_J,axiom, % 153.46/153.46 ! [V_code__numeral] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_subtract__code__numeral__def,axiom, % 153.46/153.46 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 153.46/153.46 % 153.46/153.46 fof(fact_minus__code__numeral__code,axiom, % 153.46/153.46 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,V_n),V_m) ). % 153.46/153.46 % 153.46/153.46 fof(fact_code__numeral_Oinject,axiom, % 153.46/153.46 ! [V_code__numeral_H_2,V_code__numeral_2] : % 153.46/153.46 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 153.46/153.46 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_code__numeral_Osimps_I3_J,axiom, % 153.46/153.46 ! [V_code__numeral_H_1] : c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_1) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 153.46/153.46 % 153.46/153.46 fof(fact_code__numeral_Osimps_I2_J,axiom, % 153.46/153.46 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 153.46/153.46 % 153.46/153.46 fof(fact_code__numeral_Osimps_I5_J,axiom, % 153.46/153.46 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Suc__code__numeral__minus__one,axiom, % 153.46/153.46 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_n)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = V_n ). % 153.46/153.46 % 153.46/153.46 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 153.46/153.46 ! [V_w] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) % 153.46/153.46 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) % 153.46/153.46 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_diff__nat__number__of,axiom, % 153.46/153.46 ! [V_v_2,V_v_H_2] : % 153.46/153.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 153.46/153.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 153.46/153.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_v_H_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_code__numeral_Orecs_I2_J,axiom, % 153.46/153.46 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(hAPP(V_f2_2,V_code__numeral_2),c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,V_code__numeral_2)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__nat__step,axiom, % 153.46/153.46 ! [V_m,V_n] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 153.46/153.46 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_code__numeral__not__eq__zero,axiom, % 153.46/153.46 ! [V_i_2] : % 153.46/153.46 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_i_2)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_beyond__def,axiom, % 153.46/153.46 ! [V_l,V_k] : % 153.46/153.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 153.46/153.46 => c_Quickcheck_Obeyond(V_k,V_l) = V_l ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 153.46/153.46 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 153.46/153.46 ! [V_m_2,V_na_2] : % 153.46/153.46 ( hAPP(c_Code__Numeral_Oof__nat,V_na_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 153.46/153.46 <=> V_na_2 = V_m_2 ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 153.46/153.46 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__nat__zero,axiom, % 153.46/153.46 ! [V_m] : c_Divides_Odivmod__nat(V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ). % 153.46/153.46 % 153.46/153.46 fof(fact_fun__Compl__def,axiom, % 153.46/153.46 ! [V_x_2,V_A_2,T_c,T_b] : % 153.46/153.46 ( class_Groups_Ouminus(T_b) % 153.46/153.46 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 153.46/153.46 ! [V_na_2,V_m_2] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2)) % 153.46/153.46 <=> hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_fun__diff__def,axiom, % 153.46/153.46 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 153.46/153.46 ( class_Groups_Ominus(T_b) % 153.46/153.46 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__nat__base,axiom, % 153.46/153.46 ! [V_n,V_m] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.46/153.46 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_less__eq__Suc__le__raw,axiom, % 153.46/153.46 ! [V_na_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_diff__Suc,axiom, % 153.46/153.46 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nat__number__of__Bit0,axiom, % 153.46/153.46 ! [V_w_2] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_times__code__numeral__code,axiom, % 153.46/153.46 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__nat__div__mod,axiom, % 153.46/153.46 ! [V_n,V_m] : c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_power__number__of__even,axiom, % 153.46/153.46 ! [V_w_2,V_z_2,T_b] : % 153.46/153.46 ( class_Int_Onumber__ring(T_b) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_zpower__number__of__even,axiom, % 153.46/153.46 ! [V_w_2,V_z_2] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_COMBI(tc_Int_Oint))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_beyond__zero,axiom, % 153.46/153.46 ! [V_k] : c_Quickcheck_Obeyond(V_k,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 153.46/153.46 % 153.46/153.46 fof(fact_power__number__of__even__number__of,axiom, % 153.46/153.46 ! [V_w_2,V_v_2,T_b] : % 153.46/153.46 ( class_Int_Onumber__ring(T_b) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_diff__nat__eq__if,axiom, % 153.46/153.46 ! [V_z_2,V_z_H_2] : % 153.46/153.46 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 153.46/153.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(c_Int_Onat,V_z_2) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 153.46/153.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),V_z_H_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_negDivAlg__div__mod,axiom, % 153.46/153.46 ! [V_l,V_k] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 153.46/153.46 => c_Divides_OnegDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_negDivAlg__minus1,axiom, % 153.46/153.46 ! [V_b] : c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 153.46/153.46 ! [V_na_2,T_b] : % 153.46/153.46 ( class_Rings_Osemiring__1(T_b) % 153.46/153.46 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_na_2,c_Groups_Ozero__class_Ozero(T_b)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_adjust__eq,axiom, % 153.46/153.46 ! [V_r_2,V_q_2,V_b_2] : hAPP(c_Divides_Oadjust(V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_r_2),V_b_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),V_r_2))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_zero__code__numeral__def,axiom, % 153.46/153.46 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_one__code__numeral__def,axiom, % 153.46/153.46 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_less__code__numeral__code,axiom, % 153.46/153.46 ! [V_m_2,V_na_2] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_na_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2))) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Suc__eq__number__of,axiom, % 153.46/153.46 ! [V_v_2,V_na_2] : % 153.46/153.46 ( hAPP(c_Nat_OSuc,V_na_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_na_2))))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_eq__number__of__Suc,axiom, % 153.46/153.46 ! [V_na_2,V_v_2] : % 153.46/153.46 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_na_2) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_na_2))))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nat__case__number__of,axiom, % 153.46/153.46 ! [V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nat__rec__number__of,axiom, % 153.46/153.46 ! [V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),c_Int_Onat)))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_plus__code__numeral__code,axiom, % 153.46/153.46 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_less__eq__code__numeral__code,axiom, % 153.46/153.46 ! [V_m_2,V_na_2] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_na_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2))) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nat__number__of__Bit1,axiom, % 153.46/153.46 ! [V_w_2] : % 153.46/153.46 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 153.46/153.46 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 153.46/153.46 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat)))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_less__Suc__number__of,axiom, % 153.46/153.46 ! [V_v_2,V_na_2] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2))) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2)),c_Int_Onat))))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_less__number__of__Suc,axiom, % 153.46/153.46 ! [V_na_2,V_v_2] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2))) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_le__Suc__number__of,axiom, % 153.46/153.46 ! [V_v_2,V_na_2] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2))) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2)),c_Int_Onat))))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_le__number__of__Suc,axiom, % 153.46/153.46 ! [V_na_2,V_v_2] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2))) % 153.46/153.46 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_subtract__code__numeral__code,axiom, % 153.46/153.46 ! [V_m,V_n] : hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nat__case__add__eq__if,axiom, % 153.46/153.46 ! [V_na_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nat__rec__add__eq__if,axiom, % 153.46/153.46 ! [V_na_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_na_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_na_2))))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_power__number__of__odd,axiom, % 153.46/153.46 ! [V_z_2,V_w_2,T_b] : % 153.46/153.46 ( class_Int_Onumber__ring(T_b) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2))),c_COMBI(T_b))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_zpower__number__of__odd,axiom, % 153.46/153.46 ! [V_z_2,V_w_2] : % 153.46/153.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z_2))),c_COMBI(tc_Int_Oint))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_negDivAlg_Osimps,axiom, % 153.46/153.46 ! [V_b,V_a] : % 153.46/153.46 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b))) % 153.46/153.46 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 153.46/153.46 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) ) % 153.46/153.46 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b))) % 153.46/153.46 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 153.46/153.46 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_power__number__of__odd__number__of,axiom, % 153.46/153.46 ! [V_v_2,V_w_2,T_b] : % 153.46/153.46 ( class_Int_Onumber__ring(T_b) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)))),c_COMBI(T_b))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 153.46/153.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_code__numeral_Orecs_I1_J,axiom, % 153.46/153.46 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ). % 153.46/153.46 % 153.46/153.46 fof(fact_negDivAlg__eqn,axiom, % 153.46/153.46 ! [V_a,V_b] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b))) % 153.46/153.46 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b))) % 153.46/153.46 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_negDivAlg__eqn__number__of,axiom, % 153.46/153.46 ! [V_w,V_v] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) % 153.46/153.46 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) % 153.46/153.46 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_norm__frac_Osimps,axiom, % 153.46/153.46 ! [V_a_2,V_b_2] : % 153.46/153.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 153.46/153.46 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) % 153.46/153.46 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 153.46/153.46 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 153.46/153.46 ! [V_w] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 153.46/153.46 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 153.46/153.46 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_posDivAlg_Osimps,axiom, % 153.46/153.46 ! [V_b,V_a] : % 153.46/153.46 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 153.46/153.46 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 153.46/153.46 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) ) % 153.46/153.46 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 153.46/153.46 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 153.46/153.46 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_adjust__def,axiom, % 153.46/153.46 ! [V_b_2] : c_Divides_Oadjust(V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_posDivAlg__eqn,axiom, % 153.46/153.46 ! [V_a,V_b] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 153.46/153.46 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 153.46/153.46 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_posDivAlg__eqn__number__of,axiom, % 153.46/153.46 ! [V_w,V_v] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.46 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 153.46/153.46 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_posDivAlg__0,axiom, % 153.46/153.46 ! [V_b] : c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_posDivAlg__div__mod,axiom, % 153.46/153.46 ! [V_l,V_k] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 153.46/153.46 => c_Divides_OposDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_of__int__num,axiom, % 153.46/153.46 ! [V_k_2,T_b] : % 153.46/153.46 ( class_Rings_Oring__1(T_b) % 153.46/153.46 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) ) % 153.46/153.46 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),T_b),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),tc_Int_Oint),c_COMBB(tc_fun(T_b,T_b),T_b,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,T_b),T_b),tc_Int_Oint),c_HOL_OLet(T_b,T_b)),c_Int_Oring__1__class_Oof__int(T_b)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_b)),tc_Int_Oint),c_COMBS(T_b,T_b,T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),tc_Int_Oint),c_COMBB(T_b,tc_fun(T_b,T_b),T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Oplus__class_Oplus(T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b)))),c_Groups_Oone__class_Oone(T_b))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 153.46/153.46 ! [V_a,V_r,V_q,V_c,V_b] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 153.46/153.46 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r),V_c)))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 153.46/153.46 ! [V_c,V_r,V_q,V_b,V_a] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 153.46/153.46 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_negDivAlg_Opsimps,axiom, % 153.46/153.46 ! [V_b_2,V_a_2] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2))) % 153.46/153.46 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2))) % 153.46/153.46 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 153.46/153.46 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)) ) % 153.46/153.46 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2))) % 153.46/153.46 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 153.46/153.46 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OnegDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_pdivmod__posDivAlg,axiom, % 153.46/153.46 ! [V_k,V_l] : % 153.46/153.46 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)) ) % 153.46/153.46 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => c_Divides_Opdivmod(V_k,V_l) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_accp_Osimps,axiom, % 153.46/153.46 ! [V_a_2,V_r_2,T_b] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 153.46/153.46 <=> ! [B_x] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 153.46/153.46 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_accp_Oequations,axiom, % 153.46/153.46 ! [V_a_2,V_r_2,T_b] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 153.46/153.46 <=> ! [B_x] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 153.46/153.46 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_accp__downward,axiom, % 153.46/153.46 ! [V_a_2,V_b_2,V_r_2,T_b] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 153.46/153.46 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__nat__rel__unique,axiom, % 153.46/153.46 ! [V_qr_H,V_qr,V_n,V_m] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 153.46/153.46 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 153.46/153.46 => V_qr = V_qr_H ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_accp__subset,axiom, % 153.46/153.46 ! [V_R2_2,V_R1_2,T_b] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_R1_2),V_R2_2)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_b,V_R2_2)),c_Wellfounded_Oaccp(T_b,V_R1_2))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 153.46/153.46 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__nat__eq,axiom, % 153.46/153.46 ! [V_qr,V_n,V_m] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 153.46/153.46 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mod__eq,axiom, % 153.46/153.46 ! [V_r,V_q,V_n,V_m] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r))) % 153.46/153.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_div__eq,axiom, % 153.46/153.46 ! [V_r,V_q,V_n,V_m] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r))) % 153.46/153.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__nat__rel,axiom, % 153.46/153.46 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__int__mod__div,axiom, % 153.46/153.46 ! [V_q,V_p] : c_Divides_Odivmod__int(V_p,V_q) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_p),V_q)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_p,V_q)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__nat__rel__add1__eq,axiom, % 153.46/153.46 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aq),V_ar))) % 153.46/153.46 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_bq),V_br))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 153.46/153.46 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br),V_c)))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_pdivmod__def,axiom, % 153.46/153.46 ! [V_l,V_k] : c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_posDivAlg_Opsimps,axiom, % 153.46/153.46 ! [V_b_2,V_a_2] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2))) % 153.46/153.46 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 153.46/153.46 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 153.46/153.46 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2) ) % 153.46/153.46 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 153.46/153.46 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 153.46/153.46 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OposDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_norm__frac_Opsimps,axiom, % 153.46/153.46 ! [V_b_2,V_a_2] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2))) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 153.46/153.46 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) % 153.46/153.46 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 153.46/153.46 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Nitpick_OFrac__def,axiom, % 153.46/153.46 c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),c_fequal)),c_Nitpick_Oint__gcd))),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__int__pdivmod,axiom, % 153.46/153.46 ! [V_l_2,V_k_2] : % 153.46/153.46 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) % 153.46/153.46 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) ) % 153.46/153.46 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fdisj,hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l_2)),hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))),hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__int__code,axiom, % 153.46/153.46 ! [V_l_2,V_k_2] : % 153.46/153.46 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) % 153.46/153.46 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) ) % 153.46/153.46 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fequal,c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_k_2)),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_prod__caseI,axiom, % 153.46/153.46 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_splitI,axiom, % 153.46/153.46 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) % 153.46/153.46 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__int__def,axiom, % 153.46/153.46 ! [V_b,V_a] : % 153.46/153.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.46 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.46 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) % 153.46/153.46 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.46 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.46 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_negDivAlg_Opinduct,axiom, % 153.46/153.46 ! [V_Pa_2,V_a1_2,V_a0_2] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2))) % 153.46/153.46 => ( ! [B_a,B_b] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b))) % 153.46/153.46 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_a),B_b))) % 153.46/153.46 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 153.46/153.46 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 153.46/153.46 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 153.46/153.46 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_posDivAlg_Opinduct,axiom, % 153.46/153.46 ! [V_Pa_2,V_a1_2,V_a0_2] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2))) % 153.46/153.46 => ( ! [B_a,B_b] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b))) % 153.46/153.46 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 153.46/153.46 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 153.46/153.46 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 153.46/153.46 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 153.46/153.46 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Pair__inject,axiom, % 153.46/153.46 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 153.46/153.46 ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H),V_b_H) % 153.46/153.46 => ~ ( V_a = V_a_H % 153.46/153.46 => V_b != V_b_H ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Pair__eq,axiom, % 153.46/153.46 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 153.46/153.46 ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2) % 153.46/153.46 <=> ( V_a_2 = V_a_H_2 % 153.46/153.46 & V_b_2 = V_b_H_2 ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_split__paired__All,axiom, % 153.46/153.46 ! [T_c,T_b,V_Pa_2] : % 153.46/153.46 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 153.46/153.46 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_split__weak__cong,axiom, % 153.46/153.46 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] : % 153.46/153.46 ( V_p_2 = V_q_2 % 153.46/153.46 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_q_2) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_negateSnd__eq,axiom, % 153.46/153.46 ! [V_r,V_q] : hAPP(c_Divides_OnegateSnd,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_r)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_negateSnd__def,axiom, % 153.46/153.46 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_split__conv,axiom, % 153.46/153.46 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ). % 153.46/153.46 % 153.46/153.46 fof(fact_prod_Osimps_I2_J,axiom, % 153.46/153.46 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 153.46/153.46 % 153.46/153.46 fof(fact_splitD,axiom, % 153.46/153.46 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) % 153.46/153.46 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_apsnd__conv,axiom, % 153.46/153.46 ! [V_y_2,V_x_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),hAPP(V_f_2,V_y_2)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_split__eta,axiom, % 153.46/153.46 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_d),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_d,T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c))) = V_f_2 ). % 153.46/153.46 % 153.46/153.46 fof(fact_split__twice,axiom, % 153.46/153.46 ! [V_p_2,V_g_2,T_f,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_prod(T_c,T_d)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(T_f,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_f),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2))),V_g_2)),V_p_2) ). % 153.46/153.46 % 153.46/153.46 fof(fact_div__mod__code__numeral__def,axiom, % 153.46/153.46 ! [V_m,V_n] : c_Code__Numeral_Odiv__mod__code__numeral(V_n,V_m) = hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m)),c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nat__gcd_Opsimps,axiom, % 153.46/153.46 ! [V_y_2,V_x_2] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2))) % 153.46/153.46 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.46 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 153.46/153.46 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.46 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = c_Nitpick_Onat__gcd(V_y_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x_2,V_y_2)) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_zmult2__lemma,axiom, % 153.46/153.46 ! [V_c,V_r,V_q,V_b,V_a] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 153.46/153.46 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 153.46/153.46 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mod__pos__neg__1__number__of,axiom, % 153.46/153.46 ! [V_w] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__int__rel__def,axiom, % 153.46/153.46 ! [V_b_2,V_a_2] : c_Divides_Odivmod__int__rel(V_a_2,V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fequal,V_a_2))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_2)))))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(c_fNot,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))) ). % 153.46/153.46 % 153.46/153.46 fof(fact_splitD_H,axiom, % 153.46/153.46 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_c_2)) % 153.46/153.46 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_snd__eqD,axiom, % 153.46/153.46 ! [V_a,V_y,V_x,T_a,T_b] : % 153.46/153.46 ( hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x),V_y)) = V_a % 153.46/153.46 => V_y = V_a ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_snd__conv,axiom, % 153.46/153.46 ! [V_b,V_a,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a),V_b)) = V_b ). % 153.46/153.46 % 153.46/153.46 fof(fact_apsnd__eq__conv,axiom, % 153.46/153.46 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] : % 153.46/153.46 ( hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_g_2),V_x_2) % 153.46/153.46 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_snd__apsnd,axiom, % 153.46/153.46 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_snd__def,axiom, % 153.46/153.46 ! [V_p_2,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_b),hAPP(c_COMBK(tc_fun(T_b,T_b),T_c),c_COMBI(T_b))),V_p_2) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mod__int__def,axiom, % 153.46/153.46 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_unique__remainder,axiom, % 153.46/153.46 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 153.46/153.46 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H))) % 153.46/153.46 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => V_r = V_r_H ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_unique__quotient,axiom, % 153.46/153.46 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 153.46/153.46 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H))) % 153.46/153.46 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => V_q = V_q_H ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_self__remainder,axiom, % 153.46/153.46 ! [V_r,V_q,V_a] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 153.46/153.46 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__int__rel__0,axiom, % 153.46/153.46 ! [V_b] : % 153.46/153.46 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__int__rel__neg,axiom, % 153.46/153.46 ! [V_qr,V_b,V_a] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)),V_qr)) % 153.46/153.46 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__int__correct,axiom, % 153.46/153.46 ! [V_a,V_b] : % 153.46/153.46 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_self__quotient,axiom, % 153.46/153.46 ! [V_r,V_q,V_a] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 153.46/153.46 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__int__rel__mod,axiom, % 153.46/153.46 ! [V_r,V_q,V_b,V_a] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 153.46/153.46 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__int__rel__div,axiom, % 153.46/153.46 ! [V_r,V_q,V_b,V_a] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 153.46/153.46 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_negDivAlg__correct,axiom, % 153.46/153.46 ! [V_b,V_a] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.46 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mod__neg__pos,axiom, % 153.46/153.46 ! [V_b,V_a] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__int__rel__div__mod,axiom, % 153.46/153.46 ! [V_a,V_b] : % 153.46/153.46 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_posDivAlg__correct,axiom, % 153.46/153.46 ! [V_b,V_a] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.46 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mod__pos__pos,axiom, % 153.46/153.46 ! [V_b,V_a] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mod__pos__pos__1__number__of,axiom, % 153.46/153.46 ! [V_w] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 153.46/153.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_zadd1__lemma,axiom, % 153.46/153.46 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_aq),V_ar))) % 153.46/153.46 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_bq),V_br))) % 153.46/153.46 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br),V_c)))) ) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_zminus1__lemma,axiom, % 153.46/153.46 ! [V_r_2,V_q_2,V_b_2,V_a_2] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a_2,V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2))) % 153.46/153.46 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b_2),V_r_2))))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mod__pos__neg,axiom, % 153.46/153.46 ! [V_b,V_a] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__nat__if,axiom, % 153.46/153.46 ! [V_m_2,V_na_2] : % 153.46/153.46 ( ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.46 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) % 153.46/153.46 => c_Divides_Odivmod__nat(V_m_2,V_na_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2) ) % 153.46/153.46 & ( ~ ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.46 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) % 153.46/153.46 => c_Divides_Odivmod__nat(V_m_2,V_na_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat)),c_Nat_OSuc)),c_Divides_Odivmod__nat(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2),V_na_2)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_divmod__int__relI,axiom, % 153.46/153.46 ! [V_r,V_q,V_b,V_a] : % 153.46/153.46 ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) % 153.46/153.46 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 153.46/153.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 153.46/153.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 153.46/153.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 153.46/153.46 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mod__neg__neg,axiom, % 153.46/153.46 ! [V_b,V_a] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_zmult1__lemma,axiom, % 153.46/153.46 ! [V_a,V_r,V_q,V_c,V_b] : % 153.46/153.46 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 153.46/153.46 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.46/153.46 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r),V_c)))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_norm__frac_Opinduct,axiom, % 153.46/153.46 ! [V_Pa_2,V_a1_2,V_a0_2] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2))) % 153.46/153.46 => ( ! [B_a,B_b] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b))) % 153.46/153.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) ) % 153.46/153.46 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 153.46/153.46 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_equalityI,axiom, % 153.46/153.46 ! [V_B_2,V_A_2,T_b] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.46/153.46 => V_A_2 = V_B_2 ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_div__pos__neg__1__number__of,axiom, % 153.46/153.46 ! [V_w] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_nat__gcd_Opinduct,axiom, % 153.46/153.46 ! [V_Pa_2,V_a1_2,V_a0_2] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a0_2),V_a1_2))) % 153.46/153.46 => ( ! [B_x,B_y] : % 153.46/153.46 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y))) % 153.46/153.46 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.46 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 153.46/153.46 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) ) % 153.46/153.46 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_div__neg__neg,axiom, % 153.46/153.46 ! [V_b,V_a] : % 153.46/153.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_fst__conv,axiom, % 153.46/153.46 ! [V_b,V_a,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b)) = V_a ). % 153.46/153.46 % 153.46/153.46 fof(fact_fst__eqD,axiom, % 153.46/153.46 ! [V_a,V_y,V_x,T_b,T_a] : % 153.46/153.46 ( hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) = V_a % 153.46/153.46 => V_x = V_a ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_Pair__fst__snd__eq,axiom, % 153.46/153.46 ! [T_c,T_b,V_t_2,V_s_2] : % 153.46/153.46 ( V_s_2 = V_t_2 % 153.46/153.46 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2) % 153.46/153.46 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_prod__eqI,axiom, % 153.46/153.46 ! [V_q,V_p,T_b,T_a] : % 153.46/153.46 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 153.46/153.46 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 153.46/153.46 => V_p = V_q ) ) ). % 153.46/153.46 % 153.46/153.46 fof(fact_fst__apsnd,axiom, % 153.46/153.46 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_b,T_d),V_x_2) ). % 153.46/153.46 % 153.46/153.46 fof(fact_fst__def,axiom, % 153.46/153.46 ! [V_p_2,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_b),c_COMBK(T_b,T_c)),V_p_2) ). % 153.46/153.46 % 153.46/153.46 fof(fact_pair__collapse,axiom, % 153.46/153.46 ! [V_p,T_b,T_a] : hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_p)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_p)) = V_p ). % 153.46/153.46 % 153.46/153.46 fof(fact_surjective__pairing,axiom, % 153.46/153.46 ! [T_b,T_a,V_t] : V_t = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_t)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_t)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_prod__case__beta,axiom, % 153.46/153.46 ! [V_p_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_div__int__def,axiom, % 153.46/153.46 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_mod__nat__def,axiom, % 153.46/153.46 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_split__comp__eq,axiom, % 153.46/153.46 ! [V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),tc_prod(T_b,T_c)),V_f_2),hAPP(hAPP(c_COMBB(T_b,T_e,tc_prod(T_b,T_c)),V_g_2),c_Product__Type_Ofst(T_b,T_c)))),c_Product__Type_Osnd(T_b,T_c)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),T_b),V_f_2),V_g_2)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_split__beta,axiom, % 153.46/153.46 ! [V_z_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ). % 153.46/153.46 % 153.46/153.46 fof(fact_split__def,axiom, % 153.46/153.47 ! [V_p_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_c_2),V_p_2) = hAPP(hAPP(V_c_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Diff__subset,axiom, % 153.46/153.47 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Diff__mono,axiom, % 153.46/153.47 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_double__diff,axiom, % 153.46/153.47 ! [V_C_2,V_B_2,V_A_2,T_b] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 153.46/153.47 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Compl__subset__Compl__iff,axiom, % 153.46/153.47 ! [V_B_2,V_A_2,T_b] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) % 153.46/153.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Compl__anti__mono,axiom, % 153.46/153.47 ! [V_B_2,V_A_2,T_b] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_subset__refl,axiom, % 153.46/153.47 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_set__eq__subset,axiom, % 153.46/153.47 ! [T_b,V_B_2,V_A_2] : % 153.46/153.47 ( V_A_2 = V_B_2 % 153.46/153.47 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.46/153.47 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_equalityD1,axiom, % 153.46/153.47 ! [T_b,V_B_2,V_A_2] : % 153.46/153.47 ( V_A_2 = V_B_2 % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_equalityD2,axiom, % 153.46/153.47 ! [T_b,V_B_2,V_A_2] : % 153.46/153.47 ( V_A_2 = V_B_2 % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_subset__trans,axiom, % 153.46/153.47 ! [V_C_2,V_B_2,V_A_2,T_b] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_equalityE,axiom, % 153.46/153.47 ! [T_b,V_B_2,V_A_2] : % 153.46/153.47 ( V_A_2 = V_B_2 % 153.46/153.47 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.46/153.47 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_psubset__eq,axiom, % 153.46/153.47 ! [V_B_2,V_A_2,T_b] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.46/153.47 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.46/153.47 & V_A_2 != V_B_2 ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_subset__iff__psubset__eq,axiom, % 153.46/153.47 ! [V_B_2,V_A_2,T_b] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.46/153.47 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.46/153.47 | V_A_2 = V_B_2 ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_psubset__imp__subset,axiom, % 153.46/153.47 ! [V_B_2,V_A_2,T_b] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_psubset__subset__trans,axiom, % 153.46/153.47 ! [V_C_2,V_B_2,V_A_2,T_b] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_subset__psubset__trans,axiom, % 153.46/153.47 ! [V_C_2,V_B_2,V_A_2,T_b] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_div__neg__pos,axiom, % 153.46/153.47 ! [V_b,V_a] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_div__pos__pos,axiom, % 153.46/153.47 ! [V_b,V_a] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 153.46/153.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_div__pos__pos__1__number__of,axiom, % 153.46/153.47 ! [V_w] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 153.46/153.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_div__pos__neg,axiom, % 153.46/153.47 ! [V_b,V_a] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 153.46/153.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_prod__size__simp,axiom, % 153.46/153.47 ! [V_p_2,V_g_2,V_f_2,T_c,T_b] : c_Product__Type_Oprod_Oprod__size(T_b,T_c,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_exI__realizer,axiom, % 153.46/153.47 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2)) % 153.46/153.47 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_conjI__realizer,axiom, % 153.46/153.47 ! [T_c,T_b,V_q_2,V_Qa_2,V_p_2,V_Pa_2] : % 153.46/153.47 ( hBOOL(hAPP(V_Pa_2,V_p_2)) % 153.46/153.47 => ( hBOOL(hAPP(V_Qa_2,V_q_2)) % 153.46/153.47 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) % 153.46/153.47 & hBOOL(hAPP(V_Qa_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__Suc__number__of,axiom, % 153.46/153.47 ! [V_na_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__number__of__Suc,axiom, % 153.46/153.47 ! [V_v_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_na_2)),c_Int_Onat)))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_double__complement,axiom, % 153.46/153.47 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = V_A_2 ). % 153.46/153.47 % 153.46/153.47 fof(fact_Compl__eq__Compl__iff,axiom, % 153.46/153.47 ! [V_B_2,V_A_2,T_b] : % 153.46/153.47 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2) % 153.46/153.47 <=> V_A_2 = V_B_2 ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Diff__idemp,axiom, % 153.46/153.47 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 153.46/153.47 % 153.46/153.47 fof(fact_psubset__trans,axiom, % 153.46/153.47 ! [V_C_2,V_B_2,V_A_2,T_b] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__0L,axiom, % 153.46/153.47 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__0R,axiom, % 153.46/153.47 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__Suc__Suc,axiom, % 153.46/153.47 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__add__distrib__left,axiom, % 153.46/153.47 ! [V_z,V_y,V_x,T_a] : % 153.46/153.47 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 153.46/153.47 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf__assoc,axiom, % 153.46/153.47 ! [V_z,V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf_Oassoc,axiom, % 153.46/153.47 ! [V_c,V_b,V_a,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf__left__commute,axiom, % 153.46/153.47 ! [V_z,V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 153.46/153.47 ! [V_c,V_a,V_b,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf__left__idem,axiom, % 153.46/153.47 ! [V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 153.46/153.47 ! [V_b,V_a,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf__commute,axiom, % 153.46/153.47 ! [V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf_Ocommute,axiom, % 153.46/153.47 ! [V_b,V_a,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_a) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf_Oidem,axiom, % 153.46/153.47 ! [V_a,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__less__iff__disj,axiom, % 153.46/153.47 ! [V_z_2,V_y_2,V_x_2,T_b] : % 153.46/153.47 ( class_Orderings_Olinorder(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2)) % 153.46/153.47 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 153.46/153.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__less__iff__conj,axiom, % 153.46/153.47 ! [V_y_2,V_x_2,V_z_2,T_b] : % 153.46/153.47 ( class_Orderings_Olinorder(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2))) % 153.46/153.47 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 153.46/153.47 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oless__infI1,axiom, % 153.46/153.47 ! [V_b,V_x,V_a,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oless__infI2,axiom, % 153.46/153.47 ! [V_a,V_x,V_b,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__diff__distrib__left,axiom, % 153.46/153.47 ! [V_z,V_y,V_x,T_a] : % 153.46/153.47 ( class_Groups_Oordered__ab__group__add(T_a) % 153.46/153.47 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf__le1,axiom, % 153.46/153.47 ! [V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_x)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf__le2,axiom, % 153.46/153.47 ! [V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_y)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Ole__iff__inf,axiom, % 153.46/153.47 ! [V_y_2,V_x_2,T_b] : % 153.46/153.47 ( class_Orderings_Olinorder(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.46/153.47 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Ole__inf__iff,axiom, % 153.46/153.47 ! [V_z_2,V_y_2,V_x_2,T_b] : % 153.46/153.47 ( class_Orderings_Olinorder(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_y_2),V_z_2))) % 153.46/153.47 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.46/153.47 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Ole__infI1,axiom, % 153.46/153.47 ! [V_b,V_x,V_a,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Ole__infI2,axiom, % 153.46/153.47 ! [V_a,V_x,V_b,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf__absorb1,axiom, % 153.46/153.47 ! [V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf__absorb2,axiom, % 153.46/153.47 ! [V_x,V_y,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Ole__infI,axiom, % 153.46/153.47 ! [V_b,V_a,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b))) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf__greatest,axiom, % 153.46/153.47 ! [V_z,V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf__mono,axiom, % 153.46/153.47 ! [V_d,V_b,V_c,V_a,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_c),V_d))) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Ole__infE,axiom, % 153.46/153.47 ! [V_b,V_a,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b))) % 153.46/153.47 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 153.46/153.47 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__le__iff__disj,axiom, % 153.46/153.47 ! [V_z_2,V_y_2,V_x_2,T_b] : % 153.46/153.47 ( class_Orderings_Olinorder(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2)) % 153.46/153.47 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 153.46/153.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__diff,axiom, % 153.46/153.47 ! [V_n,V_i,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_i)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)),V_i) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__number__of,axiom, % 153.46/153.47 ! [V_v,V_u,T_b] : % 153.46/153.47 ( ( class_Int_Onumber(T_b) % 153.46/153.47 & class_Orderings_Oord(T_b) ) % 153.46/153.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) ) % 153.46/153.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_div__nat__def,axiom, % 153.46/153.47 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__Suc2,axiom, % 153.46/153.47 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),V_na_2)),V_m_2) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__Suc1,axiom, % 153.46/153.47 ! [V_m_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_na_2)),V_m_2) ). % 153.46/153.47 % 153.46/153.47 fof(fact_divmod__nat__rel__def,axiom, % 153.46/153.47 ! [V_qr_2,V_na_2,V_m_2] : % 153.46/153.47 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_na_2),V_qr_2)) % 153.46/153.47 <=> ( V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_na_2)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)) % 153.46/153.47 & ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.47 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.46/153.47 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.46/153.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))) % 153.46/153.47 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_na_2)) ) ) % 153.46/153.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))) % 153.46/153.47 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_range,axiom, % 153.46/153.47 ! [V_s,V_k] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_k)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Orange(V_k),V_s))),V_k)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__ord__min,axiom, % 153.46/153.47 ! [T_b] : % 153.46/153.47 ( class_Orderings_Oord(T_b) % 153.46/153.47 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_prod_Orecs,axiom, % 153.46/153.47 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Product__Type_Oprod_Oprod__rec(T_c,T_d,T_b,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 153.46/153.47 % 153.46/153.47 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 153.46/153.47 ! [V_i_2,V_xq_2] : hAPP(c_New__DSequence_Opos__not__seq(V_xq_2),V_i_2) = c_Lazy__Sequence_Ohb__not__seq(hAPP(V_xq_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_i_2))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_max__number__of__Suc,axiom, % 153.46/153.47 ! [V_v_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_na_2)),c_Int_Onat)))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 153.46/153.47 ! [V_x,V_z,V_y,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_z),V_x)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup__inf__distrib2,axiom, % 153.46/153.47 ! [V_x,V_z,V_y,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_z),V_x)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 153.46/153.47 ! [V_z,V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup__inf__distrib1,axiom, % 153.46/153.47 ! [V_z,V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oinf__sup__absorb,axiom, % 153.46/153.47 ! [V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = V_x ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup__inf__absorb,axiom, % 153.46/153.47 ! [V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = V_x ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_max__less__iff__conj,axiom, % 153.46/153.47 ! [V_z_2,V_y_2,V_x_2,T_b] : % 153.46/153.47 ( class_Orderings_Olinorder(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2)) % 153.46/153.47 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 153.46/153.47 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_less__max__iff__disj,axiom, % 153.46/153.47 ! [V_y_2,V_x_2,V_z_2,T_b] : % 153.46/153.47 ( class_Orderings_Olinorder(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2))) % 153.46/153.47 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 153.46/153.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oless__supI1,axiom, % 153.46/153.47 ! [V_b,V_a,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Oless__supI2,axiom, % 153.46/153.47 ! [V_a,V_b,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_max__diff__distrib__left,axiom, % 153.46/153.47 ! [V_z,V_y,V_x,T_a] : % 153.46/153.47 ( class_Groups_Oordered__ab__group__add(T_a) % 153.46/153.47 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_max__0R,axiom, % 153.46/153.47 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 153.46/153.47 % 153.46/153.47 fof(fact_max__0L,axiom, % 153.46/153.47 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 153.46/153.47 % 153.46/153.47 fof(fact_le__max__iff__disj,axiom, % 153.46/153.47 ! [V_y_2,V_x_2,V_z_2,T_b] : % 153.46/153.47 ( class_Orderings_Olinorder(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2))) % 153.46/153.47 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2)) % 153.46/153.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Ole__supE,axiom, % 153.46/153.47 ! [V_x,V_b,V_a,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x)) % 153.46/153.47 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 153.46/153.47 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup__mono,axiom, % 153.46/153.47 ! [V_d,V_b,V_c,V_a,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_c),V_d))) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup__least,axiom, % 153.46/153.47 ! [V_z,V_x,V_y,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Ole__supI,axiom, % 153.46/153.47 ! [V_b,V_x,V_a,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup__absorb1,axiom, % 153.46/153.47 ! [V_x,V_y,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup__absorb2,axiom, % 153.46/153.47 ! [V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Ole__supI2,axiom, % 153.46/153.47 ! [V_a,V_b,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Ole__supI1,axiom, % 153.46/153.47 ! [V_b,V_a,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Ole__sup__iff,axiom, % 153.46/153.47 ! [V_z_2,V_y_2,V_x_2,T_b] : % 153.46/153.47 ( class_Orderings_Olinorder(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2)) % 153.46/153.47 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 153.46/153.47 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Ole__iff__sup,axiom, % 153.46/153.47 ! [V_y_2,V_x_2,T_b] : % 153.46/153.47 ( class_Orderings_Olinorder(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.46/153.47 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_le__maxI2,axiom, % 153.46/153.47 ! [V_x,V_y,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_le__maxI1,axiom, % 153.46/153.47 ! [V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_max__add__distrib__left,axiom, % 153.46/153.47 ! [V_z,V_y,V_x,T_a] : % 153.46/153.47 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 153.46/153.47 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup_Oidem,axiom, % 153.46/153.47 ! [V_a,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup_Ocommute,axiom, % 153.46/153.47 ! [V_b,V_a,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_a) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup__commute,axiom, % 153.46/153.47 ! [V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup_Oleft__idem,axiom, % 153.46/153.47 ! [V_b,V_a,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup__left__idem,axiom, % 153.46/153.47 ! [V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup_Oleft__commute,axiom, % 153.46/153.47 ! [V_c,V_a,V_b,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup__left__commute,axiom, % 153.46/153.47 ! [V_z,V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup_Oassoc,axiom, % 153.46/153.47 ! [V_c,V_b,V_a,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Osup__assoc,axiom, % 153.46/153.47 ! [V_z,V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_max__Suc__Suc,axiom, % 153.46/153.47 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m),V_n)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_max__number__of,axiom, % 153.46/153.47 ! [V_v,V_u,T_b] : % 153.46/153.47 ( ( class_Int_Onumber(T_b) % 153.46/153.47 & class_Orderings_Oord(T_b) ) % 153.46/153.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) ) % 153.46/153.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Odistrib__sup__le,axiom, % 153.46/153.47 ! [V_z,V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_min__max_Odistrib__inf__le,axiom, % 153.46/153.47 ! [V_z,V_y,V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_minus__min__eq__max,axiom, % 153.46/153.47 ! [V_y,V_x,T_a] : % 153.46/153.47 ( class_Groups_Olinordered__ab__group__add(T_a) % 153.46/153.47 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_minus__max__eq__min,axiom, % 153.46/153.47 ! [V_y,V_x,T_a] : % 153.46/153.47 ( class_Groups_Olinordered__ab__group__add(T_a) % 153.46/153.47 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_nat__minus__add__max,axiom, % 153.46/153.47 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)),V_m) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),V_m) ). % 153.46/153.47 % 153.46/153.47 fof(fact_max__Suc1,axiom, % 153.46/153.47 ! [V_m_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_na_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_na_2)),V_m_2) ). % 153.46/153.47 % 153.46/153.47 fof(fact_max__Suc2,axiom, % 153.46/153.47 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_na_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),V_na_2)),V_m_2) ). % 153.46/153.47 % 153.46/153.47 fof(fact_max__Suc__number__of,axiom, % 153.46/153.47 ! [V_na_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dual__min,axiom, % 153.46/153.47 ! [T_b] : % 153.46/153.47 ( class_Orderings_Olinorder(T_b) % 153.46/153.47 => c_Orderings_Oord_Omin(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omax(T_b) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_max__ord__max,axiom, % 153.46/153.47 ! [T_b] : % 153.46/153.47 ( class_Orderings_Oord(T_b) % 153.46/153.47 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_apfst__apsnd,axiom, % 153.46/153.47 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_apsnd__apfst,axiom, % 153.46/153.47 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_e,T_d),V_x_2))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_code__numeral__decr,axiom, % 153.46/153.47 ! [V_k] : % 153.46/153.47 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_k)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Code__Numeral_Onat__of,V_k))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_code__numeral_Onat__of__inject,axiom, % 153.46/153.47 ! [V_y_2,V_x_2] : % 153.46/153.47 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 153.46/153.47 <=> V_x_2 = V_y_2 ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 153.46/153.47 ! [V_l_2,V_k_2] : % 153.46/153.47 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 153.46/153.47 <=> V_k_2 = V_l_2 ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_nat__of__inverse,axiom, % 153.46/153.47 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 153.46/153.47 % 153.46/153.47 fof(fact_of__nat__nat__of,axiom, % 153.46/153.47 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 153.46/153.47 % 153.46/153.47 fof(fact_nat__of__of__nat,axiom, % 153.46/153.47 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 153.46/153.47 % 153.46/153.47 fof(fact_apfst__conv,axiom, % 153.46/153.47 ! [V_y_2,V_x_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_x_2)),V_y_2) ). % 153.46/153.47 % 153.46/153.47 fof(fact_apfst__eq__conv,axiom, % 153.46/153.47 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] : % 153.46/153.47 ( hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_g_2),V_x_2) % 153.46/153.47 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_fst__apfst,axiom, % 153.46/153.47 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_snd__apfst,axiom, % 153.46/153.47 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_d,T_b),V_x_2) ). % 153.46/153.47 % 153.46/153.47 fof(fact_apsnd__apfst__commute,axiom, % 153.46/153.47 ! [V_p_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,V_g_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_e,V_f_2),V_p_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_less__code__numeral__def,axiom, % 153.46/153.47 ! [V_m_2,V_na_2] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2)) % 153.46/153.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_na_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_nat__of__number,axiom, % 153.46/153.47 ! [V_k] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),V_k)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_k) ). % 153.46/153.47 % 153.46/153.47 fof(fact_less__eq__code__numeral__def,axiom, % 153.46/153.47 ! [V_m_2,V_na_2] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2)) % 153.46/153.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_na_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_nat__of__code,axiom, % 153.46/153.47 ! [V_i] : hAPP(c_Code__Numeral_Onat__of,V_i) = c_Code__Numeral_Onat__of__aux(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_nat__of__aux__def,axiom, % 153.46/153.47 ! [V_n,V_i] : c_Code__Numeral_Onat__of__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_i)),V_n) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Min_Oidem,axiom, % 153.46/153.47 ! [V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Max_Oidem,axiom, % 153.46/153.47 ! [V_x,T_a] : % 153.46/153.47 ( class_Orderings_Olinorder(T_a) % 153.46/153.47 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dual__max,axiom, % 153.46/153.47 ! [T_b] : % 153.46/153.47 ( class_Orderings_Olinorder(T_b) % 153.46/153.47 => c_Orderings_Oord_Omax(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omin(T_b) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Suc__code__numeral__def,axiom, % 153.46/153.47 ! [V_k] : c_Code__Numeral_OSuc__code__numeral(V_k) = hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,V_k))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_minus__code__numeral__def,axiom, % 153.46/153.47 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_plus__code__numeral__def,axiom, % 153.46/153.47 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_div__code__numeral__def,axiom, % 153.46/153.47 ! [V_m,V_n] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_times__code__numeral__def,axiom, % 153.46/153.47 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_mod__code__numeral__def,axiom, % 153.46/153.47 ! [V_m,V_n] : c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m) = hAPP(c_Code__Numeral_Oof__nat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Code__Numeral_Onat__of,V_n),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Nitpick_Ozero__frac__def,axiom, % 153.46/153.47 ! [T_a] : c_Nitpick_Ozero__frac(T_a) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_pos__not__random__dseq__def,axiom, % 153.46/153.47 ! [V_seed_2,V_size_2,V_nrandom_2,V_R_2] : c_New__Random__Sequence_Opos__not__random__dseq(V_R_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_surjective__sum,axiom, % 153.46/153.47 ! [V_f_2,T_c,T_d,T_b] : c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,hAPP(hAPP(c_COMBB(tc_sum(T_b,T_c),T_d,T_b),V_f_2),c_Sum__Type_OInl(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_sum(T_b,T_c),T_d,T_c),V_f_2),c_Sum__Type_OInr(T_c,T_b))) = V_f_2 ). % 153.46/153.47 % 153.46/153.47 fof(fact_iterate_Osimps,axiom, % 153.46/153.47 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 153.46/153.47 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 153.46/153.47 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2) ) % 153.46/153.47 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 153.46/153.47 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_b,tc_prod(T_c,T_b)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_c,T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_scomp__unfold,axiom, % 153.46/153.47 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_e),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_d,T_e),hAPP(V_f_2,V_x_2))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_sum__case__KK,axiom, % 153.46/153.47 ! [V_x_2,V_a_2,T_d,T_b,T_c] : hAPP(c_Sum__Type_Osum_Osum__case(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_a_2),hAPP(c_COMBK(T_b,T_d),V_a_2)),V_x_2) = V_a_2 ). % 153.46/153.47 % 153.46/153.47 fof(fact_scomp__scomp,axiom, % 153.46/153.47 ! [V_h_2,V_g_2,V_f_2,T_g,T_f,T_c,T_e,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_e,T_c),hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,tc_prod(T_d,T_e)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,T_c),V_f_2),hAPP(hAPP(c_COMBC(T_f,tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_g,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),T_f),c_Product__Type_Oscomp(T_g,T_d,T_e,T_c)),V_g_2)),V_h_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_sum__case__weak__cong,axiom, % 153.46/153.47 ! [V_g_2,V_f_2,T_c,T_d,T_b,V_t_2,V_s_2] : % 153.46/153.47 ( V_s_2 = V_t_2 % 153.46/153.47 => hAPP(c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,V_f_2,V_g_2),V_s_2) = hAPP(c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,V_f_2,V_g_2),V_t_2) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_sum__case__inject,axiom, % 153.46/153.47 ! [V_g2_2,V_g1_2,V_f2_2,V_f1_2,T_c,T_d,T_b] : % 153.46/153.47 ( c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,V_f1_2,V_f2_2) = c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,V_g1_2,V_g2_2) % 153.46/153.47 => ~ ( V_f1_2 = V_g1_2 % 153.46/153.47 => V_f2_2 != V_g2_2 ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_scomp__Pair,axiom, % 153.46/153.47 ! [V_x_2,T_d,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,tc_prod(T_c,T_d)),V_x_2),c_Product__Type_OPair(T_c,T_d)) = V_x_2 ). % 153.46/153.47 % 153.46/153.47 fof(fact_Pair__scomp,axiom, % 153.46/153.47 ! [V_f_2,V_x_2,T_c,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_b,T_c),hAPP(c_Product__Type_OPair(T_d,T_b),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ). % 153.46/153.47 % 153.46/153.47 fof(fact_scomp__apply,axiom, % 153.46/153.47 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_sum_Osimps_I6_J,axiom, % 153.46/153.47 ! [V_b_2,V_f2_2,V_f1_2,T_d,T_b,T_c] : hAPP(c_Sum__Type_Osum_Osum__case(T_c,T_b,T_d,V_f1_2,V_f2_2),hAPP(c_Sum__Type_OInr(T_d,T_c),V_b_2)) = hAPP(V_f2_2,V_b_2) ). % 153.46/153.47 % 153.46/153.47 fof(fact_sum_Osimps_I5_J,axiom, % 153.46/153.47 ! [V_a_2,V_f2_2,V_f1_2,T_d,T_b,T_c] : hAPP(c_Sum__Type_Osum_Osum__case(T_c,T_b,T_d,V_f1_2,V_f2_2),hAPP(c_Sum__Type_OInl(T_c,T_d),V_a_2)) = hAPP(V_f1_2,V_a_2) ). % 153.46/153.47 % 153.46/153.47 fof(fact_scomp__def,axiom, % 153.46/153.47 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Nitpick_Oone__frac__def,axiom, % 153.46/153.47 ! [T_a] : c_Nitpick_Oone__frac(T_a) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 153.46/153.47 ! [V_n,T_a] : c_Nitpick_Onumber__of__frac(T_a,V_n) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_n),c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Nitpick_Ofrac__def,axiom, % 153.46/153.47 ! [V_b,V_a,T_a] : hAPP(hAPP(c_Nitpick_Ofrac(T_a),V_a),V_b) = c_Nitpick_OAbs__Frac(T_a,c_Nitpick_Onorm__frac(V_a,V_b)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_internal__split__def,axiom, % 153.46/153.47 ! [T_d,T_c,T_b] : c_Product__Type_Ointernal__split(T_b,T_c,T_d) = c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d) ). % 153.46/153.47 % 153.46/153.47 fof(fact_transfer__morphism__int__nat,axiom, % 153.46/153.47 c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fTrue)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_internal__split__conv,axiom, % 153.46/153.47 ! [V_b_2,V_a_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_c_2,V_a_2),V_b_2) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Nitpick_Oplus__frac__def,axiom, % 153.46/153.47 ! [V_r_2,V_q_2,T_b] : c_Nitpick_Oplus__frac(T_b,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_b),V_q_2),hAPP(c_Nitpick_Odenom(T_b),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_b),tc_Int_Oint),c_Nitpick_Ofrac(T_b)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_r_2)))))),c_COMBI(tc_Int_Oint))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_New__DSequence_Opos__decr__bind__def,axiom, % 153.46/153.47 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 153.46/153.47 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 153.46/153.47 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_b) ) % 153.46/153.47 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 153.46/153.47 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom, % 153.46/153.47 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 153.46/153.47 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 153.46/153.47 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_b) ) % 153.46/153.47 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 153.46/153.47 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_rev__predicate2D,axiom, % 153.46/153.47 ! [V_Qa_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Qa_2)) % 153.46/153.47 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_predicate2D,axiom, % 153.46/153.47 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_c,T_b] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Qa_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 153.46/153.47 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_rev__predicate1D,axiom, % 153.46/153.47 ! [V_Qa_2,T_b,V_x_2,V_Pa_2] : % 153.46/153.47 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2)) % 153.46/153.47 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_predicate1D,axiom, % 153.46/153.47 ! [V_x_2,V_Qa_2,V_Pa_2,T_b] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2)) % 153.46/153.47 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.46/153.47 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Nitpick_Otimes__frac__def,axiom, % 153.46/153.47 ! [V_r,V_q,T_a] : c_Nitpick_Otimes__frac(T_a,V_q,V_r) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_r))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Odenom(T_a),V_r))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Nitpick_Oof__frac__def,axiom, % 153.46/153.47 ! [V_q,T_a,T_b] : % 153.46/153.47 ( ( class_Rings_Oinverse(T_b) % 153.46/153.47 & class_Rings_Oring__1(T_b) ) % 153.46/153.47 => c_Nitpick_Oof__frac(T_a,T_b,V_q) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Odenom(T_a),V_q))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 153.46/153.47 ! [V_q,T_a] : c_Nitpick_Oinverse__frac(T_a,V_q) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_q)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 153.46/153.47 ! [V_q,T_a] : c_Nitpick_Ouminus__frac(T_a,V_q) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Nitpick_Odenom(T_a),V_q))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom, % 153.46/153.47 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Opos__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Nitpick_Oless__frac__def,axiom, % 153.46/153.47 ! [V_r_2,V_q_2,T_b] : % 153.46/153.47 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2) % 153.46/153.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 153.46/153.47 ! [V_r_2,V_q_2,T_b] : % 153.46/153.47 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2) % 153.46/153.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom, % 153.46/153.47 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Oneg__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_New__DSequence_Oneg__bind__def,axiom, % 153.46/153.47 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Oneg__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_New__DSequence_Opos__empty__def,axiom, % 153.46/153.47 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ). % 153.46/153.47 % 153.46/153.47 fof(fact_pos__empty__def,axiom, % 153.46/153.47 ! [V_seed_2,V_size_2,V_nrandom_2,T_b] : c_New__Random__Sequence_Opos__empty(T_b,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_b) ). % 153.46/153.47 % 153.46/153.47 fof(fact_neg__bind__def,axiom, % 153.46/153.47 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_New__DSequence_Opos__bind__def,axiom, % 153.46/153.47 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Opos__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_The__split,axiom, % 153.46/153.47 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Random_Osimps,axiom, % 153.46/153.47 ! [V_size_2,V_g_2,T_b,V_nrandom_2] : % 153.46/153.47 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) % 153.46/153.47 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ) % 153.46/153.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) % 153.46/153.47 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(V_g_2,V_size_2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_b,V_g_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_size_2))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_b)),c_Product__Type_Ofst(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_The__split__eq,axiom, % 153.46/153.47 ! [V_y_2,V_x_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ). % 153.46/153.47 % 153.46/153.47 fof(fact_split__paired__The,axiom, % 153.46/153.47 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_Pa_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 153.46/153.47 % 153.46/153.47 fof(fact_divmod__nat__def,axiom, % 153.46/153.47 ! [V_na_2,V_m_2] : c_Divides_Odivmod__nat(V_m_2,V_na_2) = c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(V_m_2,V_na_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Random__Sequence_Oempty__def,axiom, % 153.46/153.47 ! [V_size_2,V_nrandom_2,T_b] : c_Random__Sequence_Oempty(T_b,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_Random__Sequence_Osingle__def,axiom, % 153.46/153.47 ! [V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_b),V_x_2),V_nrandom_2),V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_b),V_x_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_pos__bind__def,axiom, % 153.46/153.47 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_the__sym__eq__trivial,axiom, % 153.46/153.47 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 153.46/153.47 % 153.46/153.47 fof(fact_the__eq__trivial,axiom, % 153.46/153.47 ! [V_a_2,T_b] : c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ). % 153.46/153.47 % 153.46/153.47 fof(fact_exE__realizer,axiom, % 153.46/153.47 ! [T_d,V_f_2,V_Qa_2,V_p_2,T_b,T_c,V_Pa_2] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2))) % 153.46/153.47 => ( ! [B_x,B_y] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x)) % 153.46/153.47 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(V_f_2,B_x),B_y))) ) % 153.46/153.47 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_curry__def,axiom, % 153.46/153.47 ! [V_y_2,V_x_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_c_2),V_x_2),V_y_2) = hAPP(V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_power__dvd__imp__le,axiom, % 153.46/153.47 ! [V_n,V_m,V_i] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__mult__cancel1,axiom, % 153.46/153.47 ! [V_na_2,V_m_2] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)),V_m_2)) % 153.46/153.47 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__mult__cancel2,axiom, % 153.46/153.47 ! [V_na_2,V_m_2] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_m_2)),V_m_2)) % 153.46/153.47 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_curryI,axiom, % 153.46/153.47 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] : % 153.46/153.47 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oorder__refl,axiom, % 153.46/153.47 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__0__right,axiom, % 153.46/153.47 ! [V_a,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__1__left,axiom, % 153.46/153.47 ! [V_k] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k)) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__reduce,axiom, % 153.46/153.47 ! [V_na_2,V_k_2] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))) % 153.46/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_na_2)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__abs__iff,axiom, % 153.46/153.47 ! [V_k_2,V_m_2,T_b] : % 153.46/153.47 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2))) % 153.46/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_abs__dvd__iff,axiom, % 153.46/153.47 ! [V_k_2,V_m_2,T_b] : % 153.46/153.47 ( class_Rings_Olinordered__idom(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2)) % 153.46/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__if__abs__eq,axiom, % 153.46/153.47 ! [V_k,V_l,T_a] : % 153.46/153.47 ( class_Rings_Olinordered__idom(T_a) % 153.46/153.47 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__0__left,axiom, % 153.46/153.47 ! [V_a,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 153.46/153.47 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__add,axiom, % 153.46/153.47 ! [V_c,V_b,V_a,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oless__asym,axiom, % 153.46/153.47 ! [V_y,V_x] : % 153.46/153.47 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 153.46/153.47 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oless__trans,axiom, % 153.46/153.47 ! [V_z,V_y,V_x] : % 153.46/153.47 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 153.46/153.47 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) ) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oless__asym_H,axiom, % 153.46/153.47 ! [V_b,V_a] : % 153.46/153.47 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) % 153.46/153.47 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oless__le__trans,axiom, % 153.46/153.47 ! [V_z,V_y,V_x] : % 153.46/153.47 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oord__less__eq__trans,axiom, % 153.46/153.47 ! [V_c,V_b,V_a] : % 153.46/153.47 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) % 153.46/153.47 => ( V_b = V_c % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oless__imp__not__eq2,axiom, % 153.46/153.47 ! [V_y,V_x] : % 153.46/153.47 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 153.46/153.47 => V_y != V_x ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oless__imp__not__eq,axiom, % 153.46/153.47 ! [V_y,V_x] : % 153.46/153.47 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 153.46/153.47 => V_x != V_y ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oless__imp__not__less,axiom, % 153.46/153.47 ! [V_y,V_x] : % 153.46/153.47 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 153.46/153.47 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oless__imp__le,axiom, % 153.46/153.47 ! [V_y,V_x] : % 153.46/153.47 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oless__not__sym,axiom, % 153.46/153.47 ! [V_y,V_x] : % 153.46/153.47 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 153.46/153.47 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oless__imp__neq,axiom, % 153.46/153.47 ! [V_y,V_x] : % 153.46/153.47 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 153.46/153.47 => V_x != V_y ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Ole__less__trans,axiom, % 153.46/153.47 ! [V_z,V_y,V_x] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 153.46/153.47 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) ) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oord__eq__less__trans,axiom, % 153.46/153.47 ! [V_c,V_b,V_a] : % 153.46/153.47 ( V_a = V_b % 153.46/153.47 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) ) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oorder__trans,axiom, % 153.46/153.47 ! [V_z,V_y,V_x] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oantisym,axiom, % 153.46/153.47 ! [V_y,V_x] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 153.46/153.47 => V_x = V_y ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__antisym,axiom, % 153.46/153.47 ! [V_n,V_m] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) % 153.46/153.47 => V_m = V_n ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oord__le__eq__trans,axiom, % 153.46/153.47 ! [V_c,V_b,V_a] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 153.46/153.47 => ( V_b = V_c % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oord__eq__le__trans,axiom, % 153.46/153.47 ! [V_c,V_b,V_a] : % 153.46/153.47 ( V_a = V_b % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Ole__neq__trans,axiom, % 153.46/153.47 ! [V_b,V_a] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 153.46/153.47 => ( V_a != V_b % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Ole__imp__less__or__eq,axiom, % 153.46/153.47 ! [V_y,V_x] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 153.46/153.47 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 153.46/153.47 | V_x = V_y ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oantisym__conv,axiom, % 153.46/153.47 ! [V_x_2,V_y_2] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 153.46/153.47 <=> V_x_2 = V_y_2 ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oeq__refl,axiom, % 153.46/153.47 ! [V_y,V_x] : % 153.46/153.47 ( V_x = V_y % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oneq__le__trans,axiom, % 153.46/153.47 ! [V_b,V_a] : % 153.46/153.47 ( V_a != V_b % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oless__le,axiom, % 153.46/153.47 ! [V_y_2,V_x_2] : % 153.46/153.47 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) % 153.46/153.47 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 153.46/153.47 & V_x_2 != V_y_2 ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Ole__less,axiom, % 153.46/153.47 ! [V_y_2,V_x_2] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 153.46/153.47 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 153.46/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) % 153.46/153.47 | V_x_2 = V_y_2 ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd_Oeq__iff,axiom, % 153.46/153.47 ! [V_y_2,V_x_2] : % 153.46/153.47 ( V_x_2 = V_y_2 % 153.46/153.47 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 153.46/153.47 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__trans,axiom, % 153.46/153.47 ! [V_c,V_b,V_a,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__refl,axiom, % 153.46/153.47 ! [V_a,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__mod__iff,axiom, % 153.46/153.47 ! [V_m_2,V_na_2,V_k_2,T_b] : % 153.46/153.47 ( class_Divides_Osemiring__div(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_na_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),c_Divides_Odiv__class_Omod(T_b,V_m_2,V_na_2))) % 153.46/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_mod__mod__cancel,axiom, % 153.46/153.47 ! [V_a,V_b,V_c,T_a] : % 153.46/153.47 ( class_Divides_Osemiring__div(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b)) % 153.46/153.47 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,V_a,V_c) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__mod,axiom, % 153.46/153.47 ! [V_n,V_m,V_k,T_a] : % 153.46/153.47 ( class_Divides_Osemiring__div(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__mod__imp__dvd,axiom, % 153.46/153.47 ! [V_n,V_m,V_k,T_a] : % 153.46/153.47 ( class_Divides_Osemiring__div(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_one__dvd,axiom, % 153.46/153.47 ! [V_a,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__mult__right,axiom, % 153.46/153.47 ! [V_c,V_b,V_a,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__mult__left,axiom, % 153.46/153.47 ! [V_c,V_b,V_a,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvdI,axiom, % 153.46/153.47 ! [V_k,V_b,V_a,T_a] : % 153.46/153.47 ( class_Rings_Odvd(T_a) % 153.46/153.47 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_mult__dvd__mono,axiom, % 153.46/153.47 ! [V_d,V_c,V_b,V_a,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__mult,axiom, % 153.46/153.47 ! [V_b,V_c,V_a,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__mult2,axiom, % 153.46/153.47 ! [V_c,V_b,V_a,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__triv__right,axiom, % 153.46/153.47 ! [V_b,V_a,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__triv__left,axiom, % 153.46/153.47 ! [V_b,V_a,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_div__dvd__div,axiom, % 153.46/153.47 ! [V_c_2,V_b_2,V_a_2,T_b] : % 153.46/153.47 ( class_Divides_Osemiring__div(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_c_2)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_c_2),V_a_2))) % 153.46/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_c_2)) ) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__power__same,axiom, % 153.46/153.47 ! [V_n,V_y,V_x,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n))) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_minus__dvd__iff,axiom, % 153.46/153.47 ! [V_y_2,V_x_2,T_b] : % 153.46/153.47 ( class_Rings_Ocomm__ring__1(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2)) % 153.46/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__minus__iff,axiom, % 153.46/153.47 ! [V_y_2,V_x_2,T_b] : % 153.46/153.47 ( class_Rings_Ocomm__ring__1(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2))) % 153.46/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__diff,axiom, % 153.46/153.47 ! [V_z,V_y,V_x,T_a] : % 153.46/153.47 ( class_Rings_Ocomm__ring__1(T_a) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z))) ) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__diff__nat,axiom, % 153.46/153.47 ! [V_n,V_m,V_k] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 153.46/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) ) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_nat__dvd__1__iff__1,axiom, % 153.46/153.47 ! [V_m_2] : % 153.46/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))) % 153.46/153.47 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ). % 153.46/153.47 % 153.46/153.47 fof(fact_dvd__mult__cancel__right,axiom, % 153.46/153.47 ! [V_b_2,V_c_2,V_a_2,T_b] : % 153.46/153.47 ( class_Rings_Oidom(T_b) % 153.46/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2))) % 153.46/153.47 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 153.71/153.47 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__mult__cancel__left,axiom, % 153.71/153.47 ! [V_b_2,V_a_2,V_c_2,T_b] : % 153.71/153.47 ( class_Rings_Oidom(T_b) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 153.71/153.47 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 153.71/153.47 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__eq__mod__eq__0,axiom, % 153.71/153.47 ! [V_b_2,V_a_2,T_b] : % 153.71/153.47 ( class_Divides_Osemiring__div(T_b) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 153.71/153.47 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__imp__mod__0,axiom, % 153.71/153.47 ! [V_b,V_a,T_a] : % 153.71/153.47 ( class_Divides_Osemiring__div(T_a) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 153.71/153.47 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_div__add,axiom, % 153.71/153.47 ! [V_y,V_x,V_z,T_a] : % 153.71/153.47 ( class_Divides_Osemiring__div(T_a) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y)) % 153.71/153.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_z)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_y),V_z)) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_div__mult__div__if__dvd,axiom, % 153.71/153.47 ! [V_w,V_z,V_x,V_y,T_a] : % 153.71/153.47 ( class_Divides_Osemiring__div(T_a) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w)) % 153.71/153.47 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_w),V_z)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__div__mult,axiom, % 153.71/153.47 ! [V_c,V_b,V_a,T_a] : % 153.71/153.47 ( class_Divides_Osemiring__div(T_a) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 153.71/153.47 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_c) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_a) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__div__mult__self,axiom, % 153.71/153.47 ! [V_b,V_a,T_a] : % 153.71/153.47 ( class_Divides_Osemiring__div(T_a) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 153.71/153.47 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_a) = V_b ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_div__mult__swap,axiom, % 153.71/153.47 ! [V_a,V_b,V_c,T_a] : % 153.71/153.47 ( class_Divides_Osemiring__div(T_a) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b)) % 153.71/153.47 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__mult__div__cancel,axiom, % 153.71/153.47 ! [V_b,V_a,T_a] : % 153.71/153.47 ( class_Divides_Osemiring__div(T_a) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 153.71/153.47 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)) = V_b ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__neg__div,axiom, % 153.71/153.47 ! [V_x,V_y,T_a] : % 153.71/153.47 ( class_Divides_Oring__div(T_a) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 153.71/153.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_y) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__div__neg,axiom, % 153.71/153.47 ! [V_x,V_y,T_a] : % 153.71/153.47 ( class_Divides_Oring__div(T_a) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 153.71/153.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_le__imp__power__dvd,axiom, % 153.71/153.47 ! [V_a,V_n,V_m,T_a] : % 153.71/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__power__le,axiom, % 153.71/153.47 ! [V_m,V_n,V_y,V_x,T_a] : % 153.71/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_m))) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_power__le__dvd,axiom, % 153.71/153.47 ! [V_m,V_b,V_n,V_a,T_a] : % 153.71/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_b)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_b)) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_div__power,axiom, % 153.71/153.47 ! [V_n,V_x,V_y,T_a] : % 153.71/153.47 ( class_Divides_Osemiring__div(T_a) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 153.71/153.47 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n)) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__1__iff__1,axiom, % 153.71/153.47 ! [V_m_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) % 153.71/153.47 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_nat__dvd__not__less,axiom, % 153.71/153.47 ! [V_n,V_m] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 153.71/153.47 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_nat__mult__dvd__cancel__disj,axiom, % 153.71/153.47 ! [V_na_2,V_m_2,V_k_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2))) % 153.71/153.47 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.47 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__diffD,axiom, % 153.71/153.47 ! [V_n,V_m,V_k] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__diffD1,axiom, % 153.71/153.47 ! [V_n,V_m,V_k] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_curryE,axiom, % 153.71/153.47 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 153.71/153.47 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_curryD,axiom, % 153.71/153.47 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 153.71/153.47 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_unity__coeff__ex,axiom, % 153.71/153.47 ! [V_l_2,V_Pa_2,T_b] : % 153.71/153.47 ( ( class_Rings_Odvd(T_b) % 153.71/153.47 & class_Rings_Osemiring__0(T_b) ) % 153.71/153.47 => ( ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x))) % 153.71/153.47 <=> ? [B_x] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),c_Groups_Ozero__class_Ozero(T_b)))) % 153.71/153.47 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_curry__conv,axiom, % 153.71/153.47 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_f_2),V_a_2),V_b_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) ). % 153.71/153.47 % 153.71/153.47 fof(fact_inf__period_I4_J,axiom, % 153.71/153.47 ! [V_t_2,V_D_2,V_d_2,T_b] : % 153.71/153.47 ( ( class_Rings_Ocomm__ring(T_b) % 153.71/153.47 & class_Rings_Odvd(T_b) ) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2)) % 153.71/153.47 => ! [B_x,B_k] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2))) % 153.71/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_inf__period_I3_J,axiom, % 153.71/153.47 ! [V_t_2,V_D_2,V_d_2,T_b] : % 153.71/153.47 ( ( class_Rings_Ocomm__ring(T_b) % 153.71/153.47 & class_Rings_Odvd(T_b) ) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2)) % 153.71/153.47 => ! [B_x,B_k] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2))) % 153.71/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__eq__mod__eq__0__number__of,axiom, % 153.71/153.47 ! [V_y_2,V_x_2,T_b] : % 153.71/153.47 ( ( class_Divides_Osemiring__div(T_b) % 153.71/153.47 & class_Int_Onumber(T_b) ) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 153.71/153.47 <=> c_Divides_Odiv__class_Omod(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__div__eq__mult,axiom, % 153.71/153.47 ! [V_c_2,V_b_2,V_a_2,T_b] : % 153.71/153.47 ( class_Divides_Osemiring__div(T_b) % 153.71/153.47 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 153.71/153.47 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2 % 153.71/153.47 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__div__div__eq__mult,axiom, % 153.71/153.47 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] : % 153.71/153.47 ( class_Divides_Osemiring__div(T_b) % 153.71/153.47 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b) % 153.71/153.47 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2)) % 153.71/153.47 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_d_2),V_c_2) % 153.71/153.47 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2) ) ) ) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_curry__split,axiom, % 153.71/153.47 ! [V_f_2,T_d,T_c,T_b] : c_Product__Type_Ocurry(T_b,T_c,T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)) = V_f_2 ). % 153.71/153.47 % 153.71/153.47 fof(fact_split__curry,axiom, % 153.71/153.47 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),c_Product__Type_Ocurry(T_b,T_c,T_d,V_f_2)) = V_f_2 ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__imp__le,axiom, % 153.71/153.47 ! [V_n,V_k] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__mult__cancel,axiom, % 153.71/153.47 ! [V_n,V_m,V_k] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_nat__mult__dvd__cancel1,axiom, % 153.71/153.47 ! [V_na_2,V_m_2,V_k_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2))) % 153.71/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__power,axiom, % 153.71/153.47 ! [V_x,V_n,T_a] : % 153.71/153.47 ( class_Rings_Ocomm__semiring__1(T_a) % 153.71/153.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 153.71/153.47 | V_x = c_Groups_Oone__class_Oone(T_a) ) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd_Ostrict__monoD,axiom, % 153.71/153.47 ! [V_y_2,V_x_2,V_f_2,T_b] : % 153.71/153.47 ( class_Orderings_Oorder(T_b) % 153.71/153.47 => ( c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,T_b,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_f_2) % 153.71/153.47 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 153.71/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd_OmonoD,axiom, % 153.71/153.47 ! [V_y_2,V_x_2,V_f_2,T_b] : % 153.71/153.47 ( class_Orderings_Oorder(T_b) % 153.71/153.47 => ( c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_nat__dvd__iff,axiom, % 153.71/153.47 ! [V_m_2,V_z_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),V_m_2)) % 153.71/153.47 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) ) % 153.71/153.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 153.71/153.47 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__int__iff,axiom, % 153.71/153.47 ! [V_m_2,V_z_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) % 153.71/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2))),V_m_2)) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_int__dvd__iff,axiom, % 153.71/153.47 ! [V_z_2,V_m_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2)) % 153.71/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2)))) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__zdiffD,axiom, % 153.71/153.47 ! [V_n,V_m,V_k] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),V_n))) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_n)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_m)) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_uminus__dvd__conv_I1_J,axiom, % 153.71/153.47 ! [V_t_2,V_d_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_t_2)) % 153.71/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d_2)),V_t_2)) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_uminus__dvd__conv_I2_J,axiom, % 153.71/153.47 ! [V_t_2,V_d_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_t_2)) % 153.71/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_t_2))) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__zmod,axiom, % 153.71/153.47 ! [V_n,V_m,V_f] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_f),V_m)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_f),V_n)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_f),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n))) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__zmod__imp__zdvd,axiom, % 153.71/153.47 ! [V_n,V_m,V_k] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n))) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_n)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_m)) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__antisym__abs,axiom, % 153.71/153.47 ! [V_b,V_a] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a),V_b)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_b),V_a)) % 153.71/153.47 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_a) = hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_b) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__antisym__nonneg,axiom, % 153.71/153.47 ! [V_n,V_m] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m),V_n)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m)) % 153.71/153.47 => V_m = V_n ) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__not__zless,axiom, % 153.71/153.47 ! [V_n,V_m] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_m),V_n)) % 153.71/153.47 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m)) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__mult__cancel,axiom, % 153.71/153.47 ! [V_n,V_m,V_k] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_n))) % 153.71/153.47 => ( V_k != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m),V_n)) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__mono,axiom, % 153.71/153.47 ! [V_t_2,V_m_2,V_k_2] : % 153.71/153.47 ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m_2),V_t_2)) % 153.71/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_t_2))) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__reduce,axiom, % 153.71/153.47 ! [V_m_2,V_na_2,V_k_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_na_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_m_2)))) % 153.71/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k_2),V_na_2)) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__period,axiom, % 153.71/153.47 ! [V_c_2,V_t_2,V_x_2,V_d_2,V_a_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a_2),V_d_2)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),V_t_2))) % 153.71/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_c_2),V_d_2))),V_t_2))) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__int,axiom, % 153.71/153.47 ! [V_y_2,V_x_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 153.71/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2))) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_transfer__int__nat__relations_I4_J,axiom, % 153.71/153.47 ! [V_y_2,V_x_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2))) % 153.71/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__mult__div__cancel,axiom, % 153.71/153.47 ! [V_m,V_n] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m)) % 153.71/153.47 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)) = V_m ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zmod__eq__dvd__iff,axiom, % 153.71/153.47 ! [V_y_2,V_na_2,V_x_2] : % 153.71/153.47 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x_2,V_na_2) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_y_2,V_na_2) % 153.71/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_na_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x_2),V_y_2))) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd1__eq,axiom, % 153.71/153.47 ! [V_x_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_x_2),c_Groups_Oone__class_Oone(tc_Int_Oint))) % 153.71/153.47 <=> hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_abs__div,axiom, % 153.71/153.47 ! [V_x,V_y] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_y),V_x)) % 153.71/153.47 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd_Ostrict__mono__mono,axiom, % 153.71/153.47 ! [V_f_2,T_b] : % 153.71/153.47 ( class_Orderings_Oorder(T_b) % 153.71/153.47 => ( c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,T_b,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_f_2) % 153.71/153.47 => c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__imp__le,axiom, % 153.71/153.47 ! [V_n,V_z] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z),V_n)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_n)) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__iff__zmod__eq__0__number__of,axiom, % 153.71/153.47 ! [V_y_2,V_x_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_y_2))) % 153.71/153.47 <=> c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_x_2)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd__imp__le__int,axiom, % 153.71/153.47 ! [V_d,V_i] : % 153.71/153.47 ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d),V_i)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_d)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i))) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_transfer__nat__int__relations_I4_J,axiom, % 153.71/153.47 ! [V_y_2,V_x_2] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2))) % 153.71/153.47 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_zdvd__mult__cancel1,axiom, % 153.71/153.47 ! [V_na_2,V_m_2] : % 153.71/153.47 ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 153.71/153.47 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2)),V_m_2)) % 153.71/153.47 <=> hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd_Ostrict__monoI,axiom, % 153.71/153.47 ! [V_f_2,T_b] : % 153.71/153.47 ( class_Orderings_Oorder(T_b) % 153.71/153.47 => ( ! [B_x,B_y] : % 153.71/153.47 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_x),B_y)) % 153.71/153.47 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_y),B_x)) ) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),hAPP(V_f_2,B_y))) ) % 153.71/153.47 => c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,T_b,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_f_2) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_dvd_OmonoI,axiom, % 153.71/153.47 ! [V_f_2,T_b] : % 153.71/153.47 ( class_Orderings_Oorder(T_b) % 153.71/153.47 => ( ! [B_x,B_y] : % 153.71/153.47 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_x),B_y)) % 153.71/153.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_f_2,B_y))) ) % 153.71/153.47 => c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2) ) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_arith__series__int,axiom, % 153.71/153.47 ! [V_na_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ). % 153.71/153.47 % 153.71/153.47 fof(fact_mod__eqD,axiom, % 153.71/153.47 ! [V_r,V_d,V_m] : % 153.71/153.47 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_d) = V_r % 153.71/153.47 => ? [B_q] : V_m = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B_q),V_d)) ) ). % 153.71/153.47 % 153.71/153.47 fof(fact_nat__mod__eq__iff,axiom, % 153.71/153.47 ! [V_y_2,V_na_2,V_x_2] : % 153.71/153.47 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x_2,V_na_2) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y_2,V_na_2) % 153.71/153.47 <=> ? [B_q1,B_q2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),B_q1)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),B_q2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__abs,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.48 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__abs__ge__zero,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.48 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_lessThan__eq__iff,axiom, % 153.71/153.48 ! [V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2) % 153.71/153.48 <=> V_x_2 = V_y_2 ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_of__nat__setsum,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.48 ( class_Rings_Osemiring__1(T_b) % 153.71/153.48 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__lessThan__Suc,axiom, % 153.71/153.48 ! [V_na_2,V_f_2,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))),hAPP(V_f_2,V_na_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_of__int__setsum,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.48 ( class_Rings_Oring__1(T_b) % 153.71/153.48 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__commute,axiom, % 153.71/153.48 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_b),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))),V_A_2)),V_B_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__0,axiom, % 153.71/153.48 ! [V_A_2,T_c,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__addf,axiom, % 153.71/153.48 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__product,axiom, % 153.71/153.48 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.48 ( class_Rings_Osemiring__0(T_b) % 153.71/153.48 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_b),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,T_b)),T_c),c_COMBB(T_b,T_b,T_d)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__left__distrib,axiom, % 153.71/153.48 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.48 ( class_Rings_Osemiring__0(T_b) % 153.71/153.48 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_r_2)),V_A_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__right__distrib,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] : % 153.71/153.48 ( class_Rings_Osemiring__0(T_b) % 153.71/153.48 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2)),V_f_2)),V_A_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__subtractf,axiom, % 153.71/153.48 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 153.71/153.48 ( class_Groups_Oab__group__add(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__negf,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.48 ( class_Groups_Oab__group__add(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__divide__distrib,axiom, % 153.71/153.48 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.48 ( class_Fields_Ofield(T_b) % 153.71/153.48 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_abs__setsum__abs,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.48 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 153.71/153.48 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_lessThan__subset__iff,axiom, % 153.71/153.48 ! [V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2))) % 153.71/153.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_lessThan__strict__subset__iff,axiom, % 153.71/153.48 ! [V_na_2,V_m_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_na_2))) % 153.71/153.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_na_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_arith__series__general,axiom, % 153.71/153.48 ! [V_na_2,V_d_2,V_a_2,T_b] : % 153.71/153.48 ( class_Rings_Ocomm__semiring__1(T_b) % 153.71/153.48 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_arith__series__nat,axiom, % 153.71/153.48 ! [V_na_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_d_2)))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__natinterval__difff,axiom, % 153.71/153.48 ! [V_f_2,V_na_2,V_m_2,T_b] : % 153.71/153.48 ( class_Groups_Oab__group__add(T_b) % 153.71/153.48 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 153.71/153.48 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_gauss__sum,axiom, % 153.71/153.48 ! [V_na_2,T_b] : % 153.71/153.48 ( class_Rings_Ocomm__semiring__1(T_b) % 153.71/153.48 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Groups_Oone__class_Oone(T_b))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_geometric__sum,axiom, % 153.71/153.48 ! [V_na_2,V_x_2,T_b] : % 153.71/153.48 ( class_Fields_Ofield(T_b) % 153.71/153.48 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_na_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),hAPP(c_Nat_OSuc,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 153.71/153.48 ! [V_k_2,V_f_2] : % 153.71/153.48 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 153.71/153.48 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 153.71/153.48 => V_b_2 = V_d_2 ) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 153.71/153.48 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 153.71/153.48 => V_a_2 = V_c_2 ) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastLessThan__eq__iff,axiom, % 153.71/153.48 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 153.71/153.48 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2) % 153.71/153.48 <=> ( V_a_2 = V_c_2 % 153.71/153.48 & V_b_2 = V_d_2 ) ) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeast0LessThan,axiom, % 153.71/153.48 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastatMost__subset__iff,axiom, % 153.71/153.48 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2))) % 153.71/153.48 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 153.71/153.48 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 153.71/153.48 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastLessThan__subset__iff,axiom, % 153.71/153.48 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2))) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 153.71/153.48 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 153.71/153.48 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 153.71/153.48 ! [V_na_2,V_m_2,V_f_2,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 153.71/153.48 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__diff,axiom, % 153.71/153.48 ! [V_m_2,V_na_2,V_i_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_na_2)) % 153.71/153.48 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_na_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_na_2),V_m_2) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 153.71/153.48 ! [V_na_2,V_m_2,V_f_2,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 153.71/153.48 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_int__setsum,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__add__nat__ivl,axiom, % 153.71/153.48 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2)) % 153.71/153.48 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_na_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__diff__nat__ivl,axiom, % 153.71/153.48 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] : % 153.71/153.48 ( class_Groups_Oab__group__add(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2)) % 153.71/153.48 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_na_2),V_p_2)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastatMost__psubset__iff,axiom, % 153.71/153.48 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2))) % 153.71/153.48 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 153.71/153.48 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 153.71/153.48 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) % 153.71/153.48 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2)) % 153.71/153.48 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) ) % 153.71/153.48 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 153.71/153.48 ! [V_k_2,V_f_2,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__head__upt__Suc,axiom, % 153.71/153.48 ! [V_f_2,V_na_2,V_m_2,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_na_2))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__head__Suc,axiom, % 153.71/153.48 ! [V_f_2,V_na_2,V_m_2,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_na_2))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__op__ivl__Suc,axiom, % 153.71/153.48 ! [V_f_2,V_m_2,V_na_2,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 153.71/153.48 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2))),hAPP(V_f_2,V_na_2)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__cl__ivl__Suc,axiom, % 153.71/153.48 ! [V_f_2,V_m_2,V_na_2,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_na_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 153.71/153.48 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2))) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__ub__add__nat,axiom, % 153.71/153.48 ! [V_p_2,V_f_2,V_na_2,V_m_2,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_p_2)))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ex__nat__less,axiom, % 153.71/153.48 ! [V_Pa_2,V_na_2] : % 153.71/153.48 ( ? [B_m] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2)) % 153.71/153.48 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 153.71/153.48 <=> ? [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2))) % 153.71/153.48 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_all__nat__less,axiom, % 153.71/153.48 ! [V_Pa_2,V_na_2] : % 153.71/153.48 ( ! [B_m] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2)) % 153.71/153.48 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 153.71/153.48 <=> ! [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2))) % 153.71/153.48 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ex__nat__less__eq,axiom, % 153.71/153.48 ! [V_Pa_2,V_na_2] : % 153.71/153.48 ( ? [B_m] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2)) % 153.71/153.48 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 153.71/153.48 <=> ? [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))) % 153.71/153.48 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_all__nat__less__eq,axiom, % 153.71/153.48 ! [V_Pa_2,V_na_2] : % 153.71/153.48 ( ! [B_m] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2)) % 153.71/153.48 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 153.71/153.48 <=> ! [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))) % 153.71/153.48 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_u_2),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_bset_I6_J,axiom, % 153.71/153.48 ! [V_t_2,V_B_2,V_D_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 153.71/153.48 => ! [B_x] : % 153.71/153.48 ( ! [B_xa] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.48 => ! [B_xb] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 153.71/153.48 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_aset_I8_J,axiom, % 153.71/153.48 ! [V_t_2,V_A_2,V_D_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 153.71/153.48 => ! [B_x] : % 153.71/153.48 ( ! [B_xa] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.48 => ! [B_xb] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 153.71/153.48 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sum__diff__distrib,axiom, % 153.71/153.48 ! [V_na_2,V_Pa_2,V_Qa_2] : % 153.71/153.48 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Qa_2,B_x)),hAPP(V_Pa_2,B_x))) % 153.71/153.48 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Pa_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Qa_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_Pa_2)),V_Qa_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_periodic__finite__ex,axiom, % 153.71/153.48 ! [V_Pa_2,V_d_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 153.71/153.48 => ( ! [B_x,B_k] : % 153.71/153.48 ( hBOOL(hAPP(V_Pa_2,B_x)) % 153.71/153.48 <=> hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) ) % 153.71/153.48 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 153.71/153.48 <=> ? [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_d_2))) % 153.71/153.48 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_bset_I5_J,axiom, % 153.71/153.48 ! [V_t_2,V_B_2,V_D_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 153.71/153.48 => ! [B_x] : % 153.71/153.48 ( ! [B_xa] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.48 => ! [B_xb] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 153.71/153.48 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_aset_I7_J,axiom, % 153.71/153.48 ! [V_t_2,V_A_2,V_D_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 153.71/153.48 => ! [B_x] : % 153.71/153.48 ( ! [B_xa] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.48 => ! [B_xb] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 153.71/153.48 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_bset_I9_J,axiom, % 153.71/153.48 ! [V_t_2,V_B_2,V_D_2,V_d_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2)) % 153.71/153.48 => ! [B_x] : % 153.71/153.48 ( ! [B_xa] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.48 => ! [B_xb] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 153.71/153.48 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_t_2))) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2))) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_aset_I9_J,axiom, % 153.71/153.48 ! [V_t_2,V_A_2,V_D_2,V_d_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2)) % 153.71/153.48 => ! [B_x] : % 153.71/153.48 ( ! [B_xa] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.48 => ! [B_xb] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 153.71/153.48 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_t_2))) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2))) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_aset_I10_J,axiom, % 153.71/153.48 ! [V_t_2,V_A_2,V_D_2,V_d_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2)) % 153.71/153.48 => ! [B_x] : % 153.71/153.48 ( ! [B_xa] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.48 => ! [B_xb] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 153.71/153.48 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 153.71/153.48 => ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_t_2))) % 153.71/153.48 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2))) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_bset_I10_J,axiom, % 153.71/153.48 ! [V_t_2,V_B_2,V_D_2,V_d_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2)) % 153.71/153.48 => ! [B_x] : % 153.71/153.48 ( ! [B_xa] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.48 => ! [B_xb] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 153.71/153.48 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 153.71/153.48 => ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_t_2))) % 153.71/153.48 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2))) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__atLeastZeroLessThan__int,axiom, % 153.71/153.48 ! [V_u_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 153.71/153.48 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Int_Onat,V_u_2))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__head,axiom, % 153.71/153.48 ! [V_Pa_2,V_na_2,V_m_2,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_Pa_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_na_2))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__image,axiom, % 153.71/153.48 ! [V_A_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_d,T_b,hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_f_2),V_g_2)),V_A_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2] : % 153.71/153.48 ( V_A_2 = V_B_2 % 153.71/153.48 <=> hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_subset__image__iff,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 153.71/153.48 <=> ? [B_AA] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2)) % 153.71/153.48 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__mono,axiom, % 153.71/153.48 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__uminus__greaterThanAtMost,axiom, % 153.71/153.48 ! [V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Groups_Oordered__ab__group__add(T_b) % 153.71/153.48 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__uminus__atLeastLessThan,axiom, % 153.71/153.48 ! [V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Groups_Oordered__ab__group__add(T_b) % 153.71/153.48 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__diff__subset,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__uminus__atLeastAtMost,axiom, % 153.71/153.48 ! [V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Groups_Oordered__ab__group__add(T_b) % 153.71/153.48 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_b] : % 153.71/153.48 ( ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 & class_Groups_Ocomm__monoid__mult(T_b) ) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 153.71/153.48 ! [V_na_2,V_m_2] : % 153.71/153.48 ( c_Nat__Transfer_Ois__nat(V_m_2) % 153.71/153.48 => ( c_Nat__Transfer_Ois__nat(V_na_2) % 153.71/153.48 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_na_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,V_m_2),hAPP(c_Int_Onat,V_na_2))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__SucD,axiom, % 153.71/153.48 ! [V_na_2,V_A_2,V_f_2,T_b] : % 153.71/153.48 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_na_2) % 153.71/153.48 => ? [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.48 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__ivl__cong,axiom, % 153.71/153.48 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] : % 153.71/153.48 ( ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.48 & class_Orderings_Oord(T_b) ) % 153.71/153.48 => ( V_a_2 = V_c_2 % 153.71/153.48 => ( V_b_2 = V_d_2 % 153.71/153.48 => ( ! [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2)) % 153.71/153.48 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) ) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_card__atLeastAtMost__int,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__uminus__greaterThan,axiom, % 153.71/153.48 ! [V_x_2,T_b] : % 153.71/153.48 ( class_Groups_Oordered__ab__group__add(T_b) % 153.71/153.48 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_card__greaterThanAtMost__int,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_greaterThan__eq__iff,axiom, % 153.71/153.48 ! [V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2) % 153.71/153.48 <=> V_x_2 = V_y_2 ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__Suc__atLeastLessThan,axiom, % 153.71/153.48 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2)),hAPP(c_Nat_OSuc,V_j_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__Suc__atLeastAtMost,axiom, % 153.71/153.48 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2),hAPP(c_Nat_OSuc,V_j_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__add__atLeastLessThan,axiom, % 153.71/153.48 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__add__atLeastAtMost,axiom, % 153.71/153.48 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_card__eq__setsum,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_transfer__int__nat__set__return__embed,axiom, % 153.71/153.48 ! [V_A_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) = V_A_2 ). % 153.71/153.48 % 153.71/153.48 fof(fact_greaterThan__subset__iff,axiom, % 153.71/153.48 ! [V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2))) % 153.71/153.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__constant,axiom, % 153.71/153.48 ! [V_A_2,V_y_2,T_c,T_b] : % 153.71/153.48 ( class_Rings_Osemiring__1(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_y_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_card__atLeastZeroLessThan__int,axiom, % 153.71/153.48 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) = hAPP(c_Int_Onat,V_u_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_card__atLeastLessThan__int,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 153.71/153.48 ! [V_na_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__add__int__atLeastLessThan,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Int_Oint,hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__uminus__lessThan,axiom, % 153.71/153.48 ! [V_x_2,T_b] : % 153.71/153.48 ( class_Groups_Oordered__ab__group__add(T_b) % 153.71/153.48 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_card__greaterThanLessThan__int,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 153.71/153.48 ! [V_f_2,V_A_2,T_b] : % 153.71/153.48 ( ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 & class_Groups_Ocomm__monoid__mult(T_b) ) % 153.71/153.48 => ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2] : % 153.71/153.48 ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.48 => ( c_Nat__Transfer_Onat__set(V_B_2) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2] : % 153.71/153.48 ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.48 => ( c_Nat__Transfer_Onat__set(V_B_2) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 153.71/153.48 ! [V_A_2] : % 153.71/153.48 ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.48 => hAPP(c_Finite__Set_Ocard(tc_Int_Oint),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_card__lessThan,axiom, % 153.71/153.48 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_u_2)) = V_u_2 ). % 153.71/153.48 % 153.71/153.48 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2] : % 153.71/153.48 ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.48 => ( c_Nat__Transfer_Onat__set(V_B_2) % 153.71/153.48 => ( V_A_2 = V_B_2 % 153.71/153.48 <=> hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_card__atLeastLessThan,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_card__greaterThanAtMost,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_nat__set__def,axiom, % 153.71/153.48 ! [V_S_2] : % 153.71/153.48 ( c_Nat__Transfer_Onat__set(V_S_2) % 153.71/153.48 <=> ! [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__uminus__greaterThanLessThan,axiom, % 153.71/153.48 ! [V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Groups_Oordered__ab__group__add(T_b) % 153.71/153.48 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 153.71/153.48 ! [V_C_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_C_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 153.71/153.48 ! [V_y_2,V_x_2] : % 153.71/153.48 ( c_Nat__Transfer_Ois__nat(V_x_2) % 153.71/153.48 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_card__atLeastAtMost,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_u_2)),V_l_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 153.71/153.48 ! [V_A_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_subset__card__intvl__is__intvl,axiom, % 153.71/153.48 ! [V_k_2,V_A_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2))))) % 153.71/153.48 => V_A_2 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 153.71/153.48 ! [V_y_2,V_x_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 153.71/153.48 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_transfer__nat__int__set__return__embed,axiom, % 153.71/153.48 ! [V_A_2] : % 153.71/153.48 ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.48 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) = V_A_2 ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 153.71/153.48 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 153.71/153.48 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 153.71/153.48 ( ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 & class_Groups_Ocomm__monoid__mult(T_b) ) % 153.71/153.48 => ( V_A_2 = V_B_2 % 153.71/153.48 => ( c_Nat__Transfer_Onat__set(V_B_2) % 153.71/153.48 => ( ! [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 153.71/153.48 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I19_J,axiom, % 153.71/153.48 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I18_J,axiom, % 153.71/153.48 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup1CI,axiom, % 153.71/153.48 ! [T_b,V_A_2,V_x_2,V_B_2] : % 153.71/153.48 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 153.71/153.48 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 153.71/153.48 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup1E,axiom, % 153.71/153.48 ! [V_x_2,V_B_2,V_A_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 153.71/153.48 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 153.71/153.48 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I9_J,axiom, % 153.71/153.48 ! [V_u_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__Un,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2] : % 153.71/153.48 ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.48 => ( c_Nat__Transfer_Onat__set(V_B_2) % 153.71/153.48 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup1I2,axiom, % 153.71/153.48 ! [V_A_2,T_b,V_x_2,V_B_2] : % 153.71/153.48 ( hBOOL(hAPP(V_B_2,V_x_2)) % 153.71/153.48 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup1I1,axiom, % 153.71/153.48 ! [V_B_2,T_b,V_x_2,V_A_2] : % 153.71/153.48 ( hBOOL(hAPP(V_A_2,V_x_2)) % 153.71/153.48 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ball__Un,axiom, % 153.71/153.48 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 153.71/153.48 ( ! [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.48 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 153.71/153.48 <=> ( ! [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.48 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 153.71/153.48 & ! [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 153.71/153.48 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_bex__Un,axiom, % 153.71/153.48 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 153.71/153.48 ( ? [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.48 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 153.71/153.48 <=> ( ? [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.48 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 153.71/153.48 | ? [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 153.71/153.48 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__assoc,axiom, % 153.71/153.48 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__left__commute,axiom, % 153.71/153.48 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__left__absorb,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__commute,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__absorb,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__apply,axiom, % 153.71/153.48 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 153.71/153.48 ( class_Lattices_Olattice(T_b) % 153.71/153.48 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__assoc,axiom, % 153.71/153.48 ! [V_z,V_y,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_inf__sup__aci_I6_J,axiom, % 153.71/153.48 ! [V_z,V_y,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Olattice(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup_Oassoc,axiom, % 153.71/153.48 ! [V_c,V_b,V_a,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__left__commute,axiom, % 153.71/153.48 ! [V_z,V_y,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_inf__sup__aci_I7_J,axiom, % 153.71/153.48 ! [V_z,V_y,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Olattice(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup_Oleft__commute,axiom, % 153.71/153.48 ! [V_c,V_a,V_b,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__left__idem,axiom, % 153.71/153.48 ! [V_y,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_inf__sup__aci_I8_J,axiom, % 153.71/153.48 ! [V_y,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Olattice(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup_Oleft__idem,axiom, % 153.71/153.48 ! [V_b,V_a,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__commute,axiom, % 153.71/153.48 ! [V_y,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_inf__sup__aci_I5_J,axiom, % 153.71/153.48 ! [V_y,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Olattice(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup_Ocommute,axiom, % 153.71/153.48 ! [V_b,V_a,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_a) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__idem,axiom, % 153.71/153.48 ! [V_x,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup_Oidem,axiom, % 153.71/153.48 ! [V_a,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__fun__def,axiom, % 153.71/153.48 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 153.71/153.48 ( class_Lattices_Olattice(T_b) % 153.71/153.48 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__Diff,axiom, % 153.71/153.48 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__Diff__cancel2,axiom, % 153.71/153.48 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__Diff__cancel,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Sup__fin_Oidem,axiom, % 153.71/153.48 ! [V_x,T_a] : % 153.71/153.48 ( class_Lattices_Olattice(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__max,axiom, % 153.71/153.48 ! [T_b] : % 153.71/153.48 ( ( class_Lattices_Osemilattice__sup(T_b) % 153.71/153.48 & class_Orderings_Olinorder(T_b) ) % 153.71/153.48 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atMost__eq__iff,axiom, % 153.71/153.48 ! [V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2) % 153.71/153.48 <=> V_x_2 = V_y_2 ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_less__supI1,axiom, % 153.71/153.48 ! [V_b,V_a,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_less__supI2,axiom, % 153.71/153.48 ! [V_a,V_b,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_le__supE,axiom, % 153.71/153.48 ! [V_x,V_b,V_a,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_x)) % 153.71/153.48 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 153.71/153.48 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__mono,axiom, % 153.71/153.48 ! [V_d,V_b,V_c,V_a,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_c),V_d))) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__least,axiom, % 153.71/153.48 ! [V_z,V_x,V_y,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_le__supI,axiom, % 153.71/153.48 ! [V_b,V_x,V_a,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_x)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__absorb1,axiom, % 153.71/153.48 ! [V_x,V_y,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__absorb2,axiom, % 153.71/153.48 ! [V_y,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_le__supI2,axiom, % 153.71/153.48 ! [V_a,V_b,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_le__supI1,axiom, % 153.71/153.48 ! [V_b,V_a,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_le__sup__iff,axiom, % 153.71/153.48 ! [V_z_2,V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2)),V_z_2)) % 153.71/153.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 153.71/153.48 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_le__iff__sup,axiom, % 153.71/153.48 ! [V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.71/153.48 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__ge2,axiom, % 153.71/153.48 ! [V_x,V_y,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_inf__sup__ord_I4_J,axiom, % 153.71/153.48 ! [V_x,V_y,T_a] : % 153.71/153.48 ( class_Lattices_Olattice(T_a) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__ge1,axiom, % 153.71/153.48 ! [V_y,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Osemilattice__sup(T_a) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_inf__sup__ord_I3_J,axiom, % 153.71/153.48 ! [V_y,V_x,T_a] : % 153.71/153.48 ( class_Lattices_Olattice(T_a) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__upper1,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__upper2,axiom, % 153.71/153.48 ! [V_A_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_subset__Un__eq,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.48 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__absorb1,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__absorb2,axiom, % 153.71/153.48 ! [V_A_2,V_B_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__least,axiom, % 153.71/153.48 ! [V_B_2,V_C_2,V_A_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__mono,axiom, % 153.71/153.48 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_card__atMost,axiom, % 153.71/153.48 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_u_2)) = hAPP(c_Nat_OSuc,V_u_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I10_J,axiom, % 153.71/153.48 ! [V_u_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I7_J,axiom, % 153.71/153.48 ! [V_u_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I17_J,axiom, % 153.71/153.48 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Diff__subset__conv,axiom, % 153.71/153.48 ! [V_C_2,V_B_2,V_A_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) % 153.71/153.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Diff__partition,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I20_J,axiom, % 153.71/153.48 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Compl__Diff__eq,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2] : % 153.71/153.48 ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.48 => ( c_Nat__Transfer_Onat__set(V_B_2) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeast0AtMost,axiom, % 153.71/153.48 ! [V_na_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_card__greaterThanLessThan,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),hAPP(c_Nat_OSuc,V_l_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_lessThan__Suc__atMost,axiom, % 153.71/153.48 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 153.71/153.48 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atMost__subset__iff,axiom, % 153.71/153.48 ! [V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2))) % 153.71/153.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I21_J,axiom, % 153.71/153.48 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastLessThan__add__Un,axiom, % 153.71/153.48 ! [V_k_2,V_j_2,V_i_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 153.71/153.48 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I8_J,axiom, % 153.71/153.48 ! [V_u_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I22_J,axiom, % 153.71/153.48 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I11_J,axiom, % 153.71/153.48 ! [V_u_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Compl__greaterThan,axiom, % 153.71/153.48 ! [V_k_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Compl__atMost,axiom, % 153.71/153.48 ! [V_k_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I15_J,axiom, % 153.71/153.48 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I16_J,axiom, % 153.71/153.48 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__atMost__Suc,axiom, % 153.71/153.48 ! [V_na_2,V_f_2,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I12_J,axiom, % 153.71/153.48 ! [V_u_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I13_J,axiom, % 153.71/153.48 ! [V_u_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__le__eq__Un0,axiom, % 153.71/153.48 ! [V_M_2,V_na_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_na_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom, % 153.71/153.48 ! [V_d_2,V_c_2,V_b_2,V_a_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2))) % 153.71/153.48 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 153.71/153.48 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2)) % 153.71/153.48 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) % 153.71/153.48 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2)) % 153.71/153.48 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) ) % 153.71/153.48 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) % 153.71/153.48 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) ) % 153.71/153.48 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__nat__def,axiom, % 153.71/153.48 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeast__eq__iff,axiom, % 153.71/153.48 ! [V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2) % 153.71/153.48 <=> V_x_2 = V_y_2 ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_SUP1__iff,axiom, % 153.71/153.48 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 153.71/153.48 <=> ? [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.48 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeast__Suc__greaterThan,axiom, % 153.71/153.48 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeast__subset__iff,axiom, % 153.71/153.48 ! [V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2))) % 153.71/153.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Compl__lessThan,axiom, % 153.71/153.48 ! [V_k_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Compl__atLeast,axiom, % 153.71/153.48 ! [V_k_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__le__add__shift,axiom, % 153.71/153.48 ! [V_k_2,V_M_2,V_na_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))),V_M_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I14_J,axiom, % 153.71/153.48 ! [V_u_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_dvd_OatLeastatMost__subset__iff,axiom, % 153.71/153.48 ! [V_d_2,V_c_2,V_b_2,V_a_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2))) % 153.71/153.48 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 153.71/153.48 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2)) % 153.71/153.48 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__uminus__atMost,axiom, % 153.71/153.48 ! [V_x_2,T_b] : % 153.71/153.48 ( class_Groups_Oordered__ab__group__add(T_b) % 153.71/153.48 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__uminus__atLeast,axiom, % 153.71/153.48 ! [V_x_2,T_b] : % 153.71/153.48 ( class_Groups_Oordered__ab__group__add(T_b) % 153.71/153.48 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_SUP__subset,axiom, % 153.71/153.48 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.48 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_B_2),V_f_2))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__simps_I6_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__extend__simps_I6_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_SUPR__apply,axiom, % 153.71/153.48 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 153.71/153.48 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.48 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ball__UN,axiom, % 153.71/153.48 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] : % 153.71/153.48 ( ! [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.48 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 153.71/153.48 <=> ! [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 153.71/153.48 => ! [B_xa] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x))) % 153.71/153.48 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_SUP__commute,axiom, % 153.71/153.48 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 153.71/153.48 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.48 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__extend__simps_I9_J,axiom, % 153.71/153.48 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__simps_I9_J,axiom, % 153.71/153.48 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__UN__flatten,axiom, % 153.71/153.48 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_SUP__le__iff,axiom, % 153.71/153.48 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] : % 153.71/153.48 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_M_2)),V_u_2)) % 153.71/153.48 <=> ! [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_less__SUP__iff,axiom, % 153.71/153.48 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] : % 153.71/153.48 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.48 & class_Orderings_Olinorder(T_b) ) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_f_2))) % 153.71/153.48 <=> ? [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 153.71/153.48 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__subset__iff,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2)) % 153.71/153.48 <=> ! [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__simps_I10_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__UN,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Oimage(T_c,T_b,V_f_2)),V_B_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__extend__simps_I10_J,axiom, % 153.71/153.48 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__Un,axiom, % 153.71/153.48 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__Un__distrib,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_greaterThan__0,axiom, % 153.71/153.48 hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_upto_Opinduct,axiom, % 153.71/153.48 ! [V_Pa_2,V_a1_2,V_a0_2] : % 153.71/153.48 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2))) % 153.71/153.48 => ( ! [B_i,B_j] : % 153.71/153.48 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_i),B_j))) % 153.71/153.48 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 153.71/153.48 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) ) % 153.71/153.48 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) % 153.71/153.48 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__ident,axiom, % 153.71/153.48 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 153.71/153.48 % 153.71/153.48 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 153.71/153.48 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_top1I,axiom, % 153.71/153.48 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__insert__left,axiom, % 153.71/153.48 ! [V_C_2,V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__insert__right,axiom, % 153.71/153.48 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__UNIV__right,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__UNIV__left,axiom, % 153.71/153.48 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_insert__mono,axiom, % 153.71/153.48 ! [V_a_2,V_D_2,V_C_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_subset__insertI2,axiom, % 153.71/153.48 ! [V_b_2,V_B_2,V_A_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_subset__insertI,axiom, % 153.71/153.48 ! [V_a_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_subset__UNIV,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_top__apply,axiom, % 153.71/153.48 ! [V_x_2,T_c,T_b] : % 153.71/153.48 ( class_Orderings_Otop(T_b) % 153.71/153.48 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_insert__absorb2,axiom, % 153.71/153.48 ! [V_A_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_insert__commute,axiom, % 153.71/153.48 ! [V_A_2,V_y_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_insert__code,axiom, % 153.71/153.48 ! [V_x_2,V_A_2,V_y_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)) % 153.71/153.48 <=> ( V_y_2 = V_x_2 % 153.71/153.48 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__insert,axiom, % 153.71/153.48 ! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_range__composition,axiom, % 153.71/153.48 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBB(T_d,T_b,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_top__greatest,axiom, % 153.71/153.48 ! [V_x,T_a] : % 153.71/153.48 ( class_Orderings_Otop(T_a) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__top__left,axiom, % 153.71/153.48 ! [V_x,T_a] : % 153.71/153.48 ( class_Lattices_Obounded__lattice__top(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__top__right,axiom, % 153.71/153.48 ! [V_x,T_a] : % 153.71/153.48 ( class_Lattices_Obounded__lattice__top(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__lessThan__UNIV,axiom, % 153.71/153.48 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__atMost__UNIV,axiom, % 153.71/153.48 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__atLeast__UNIV,axiom, % 153.71/153.48 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_surj__Compl__image__subset,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_b,T_c] : % 153.71/153.48 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Compl__partition,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Compl__partition2,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_lessThan__Suc,axiom, % 153.71/153.48 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Compl__eq__Diff__UNIV,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atMost__Suc,axiom, % 153.71/153.48 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__insert,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeast__0,axiom, % 153.71/153.48 hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__compl__top,axiom, % 153.71/153.48 ! [V_x,T_a] : % 153.71/153.48 ( class_Lattices_Oboolean__algebra(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_compl__sup__top,axiom, % 153.71/153.48 ! [V_x,T_a] : % 153.71/153.48 ( class_Lattices_Oboolean__algebra(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastAtMostSuc__conv,axiom, % 153.71/153.48 ! [V_na_2,V_m_2] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 153.71/153.48 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__UN__finite__eq,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__finite2__subset,axiom, % 153.71/153.48 ! [V_B_2,V_k_2,V_A_2,T_b] : % 153.71/153.48 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2))) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 153.71/153.48 ! [V_x_2,V_y_2,V_c_2] : % 153.71/153.48 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 153.71/153.48 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_c_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_c_2)) ) % 153.71/153.48 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 153.71/153.48 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 153.71/153.48 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) % 153.71/153.48 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 153.71/153.48 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__finite2__eq,axiom, % 153.71/153.48 ! [V_B_2,V_k_2,V_A_2,T_b] : % 153.71/153.48 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2) % 153.71/153.48 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__finite__subset,axiom, % 153.71/153.48 ! [V_C_2,V_A_2,T_b] : % 153.71/153.48 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2)) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_empty__subsetI,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UNIV__not__empty,axiom, % 153.71/153.48 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_empty__not__insert,axiom, % 153.71/153.48 ! [V_A_2,V_a_2,T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_insert__not__empty,axiom, % 153.71/153.48 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_doubleton__eq__iff,axiom, % 153.71/153.48 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.71/153.48 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.48 <=> ( ( V_a_2 = V_c_2 % 153.71/153.48 & V_b_2 = V_d_2 ) % 153.71/153.48 | ( V_a_2 = V_d_2 % 153.71/153.48 & V_b_2 = V_c_2 ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_singleton__inject,axiom, % 153.71/153.48 ! [V_b_2,V_a_2,T_b] : % 153.71/153.48 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.48 => V_a_2 = V_b_2 ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_empty__is__image,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.48 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) % 153.71/153.48 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__empty,axiom, % 153.71/153.48 ! [V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__is__empty,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_b,T_c] : % 153.71/153.48 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Diff__cancel,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Diff__empty,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 153.71/153.48 % 153.71/153.48 fof(fact_empty__Diff,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_bot__apply,axiom, % 153.71/153.48 ! [V_x_2,T_c,T_b] : % 153.71/153.48 ( class_Orderings_Obot(T_b) % 153.71/153.48 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_bot__fun__def,axiom, % 153.71/153.48 ! [V_x_2,T_c,T_b] : % 153.71/153.48 ( class_Orderings_Obot(T_b) % 153.71/153.48 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_subset__empty,axiom, % 153.71/153.48 ! [V_A_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.48 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_not__psubset__empty,axiom, % 153.71/153.48 ! [V_A_2,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__empty__left,axiom, % 153.71/153.48 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__empty__right,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 153.71/153.48 % 153.71/153.48 fof(fact_Un__empty,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_b] : % 153.71/153.48 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_bot__least,axiom, % 153.71/153.48 ! [V_x,T_a] : % 153.71/153.48 ( class_Orderings_Obot(T_a) % 153.71/153.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_SUP__const,axiom, % 153.71/153.48 ! [V_M_2,T_b,V_A_2,T_c] : % 153.71/153.48 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 153.71/153.48 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UNION__empty__conv_I2_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_b,T_c] : % 153.71/153.48 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 <=> ! [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 153.71/153.48 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__constant,axiom, % 153.71/153.48 ! [V_c_2,T_c,T_b,V_A_2] : % 153.71/153.48 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.48 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__empty2,axiom, % 153.71/153.48 ! [V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UNION__empty__conv_I1_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_c,T_b] : % 153.71/153.48 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) % 153.71/153.48 <=> ! [B_x] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 153.71/153.48 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__eq__bot__iff,axiom, % 153.71/153.48 ! [V_y_2,V_x_2,T_b] : % 153.71/153.48 ( class_Lattices_Obounded__lattice__bot(T_b) % 153.71/153.48 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b) % 153.71/153.48 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b) % 153.71/153.48 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__bot__right,axiom, % 153.71/153.48 ! [V_x,T_a] : % 153.71/153.48 ( class_Lattices_Obounded__lattice__bot(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_sup__bot__left,axiom, % 153.71/153.48 ! [V_x,T_a] : % 153.71/153.48 ( class_Lattices_Obounded__lattice__bot(T_a) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum_Oempty,axiom, % 153.71/153.48 ! [V_g_2,T_c,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_setsum__empty,axiom, % 153.71/153.48 ! [V_f_2,T_c,T_b] : % 153.71/153.48 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_subset__singletonD,axiom, % 153.71/153.48 ! [V_x_2,V_A_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 153.71/153.48 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_insert__is__Un,axiom, % 153.71/153.48 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_A_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastatMost__empty__iff,axiom, % 153.71/153.48 ! [V_b_2,V_a_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastatMost__empty__iff2,axiom, % 153.71/153.48 ! [V_b_2,V_a_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) % 153.71/153.48 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastatMost__empty,axiom, % 153.71/153.48 ! [V_a_2,V_b_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) % 153.71/153.48 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_insert__Diff__single,axiom, % 153.71/153.48 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Diff__insert2,axiom, % 153.71/153.48 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Diff__insert,axiom, % 153.71/153.48 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastLessThan__empty,axiom, % 153.71/153.48 ! [V_a_2,V_b_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 153.71/153.48 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastLessThan__empty__iff,axiom, % 153.71/153.48 ! [V_b_2,V_a_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastLessThan__empty__iff2,axiom, % 153.71/153.48 ! [V_b_2,V_a_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) % 153.71/153.48 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Diff__UNIV,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastAtMost__singleton,axiom, % 153.71/153.48 ! [V_a_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastAtMost__singleton__iff,axiom, % 153.71/153.48 ! [V_c_2,V_b_2,V_a_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.48 <=> ( V_a_2 = V_b_2 % 153.71/153.48 & V_b_2 = V_c_2 ) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastAtMost__singleton_H,axiom, % 153.71/153.48 ! [V_b_2,V_a_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( V_a_2 = V_b_2 % 153.71/153.48 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_subset__Compl__self__eq,axiom, % 153.71/153.48 ! [V_A_2,T_b] : % 153.71/153.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 153.71/153.48 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Compl__UNIV__eq,axiom, % 153.71/153.48 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_Compl__empty__eq,axiom, % 153.71/153.48 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastLessThan0,axiom, % 153.71/153.48 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_greaterThanAtMost__empty,axiom, % 153.71/153.48 ! [V_k_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 153.71/153.48 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_greaterThanAtMost__empty__iff,axiom, % 153.71/153.48 ! [V_l_2,V_k_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 153.71/153.48 ! [V_l_2,V_k_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) % 153.71/153.48 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_greaterThanLessThan__empty,axiom, % 153.71/153.48 ! [V_k_2,V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 153.71/153.48 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_lessThan__0,axiom, % 153.71/153.48 hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__constant__conv,axiom, % 153.71/153.48 ! [V_c_2,T_c,T_b,V_A_2] : % 153.71/153.48 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.48 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__simps_I1_J,axiom, % 153.71/153.48 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 153.71/153.48 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.48 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__singleton,axiom, % 153.71/153.48 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__extend__simps_I1_J,axiom, % 153.71/153.48 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 153.71/153.48 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) % 153.71/153.48 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_dvd_OatLeastatMost__empty,axiom, % 153.71/153.48 ! [V_a_2,V_b_2] : % 153.71/153.48 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) % 153.71/153.48 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) % 153.71/153.48 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_dvd_OatLeastatMost__empty__iff,axiom, % 153.71/153.48 ! [V_b_2,V_a_2] : % 153.71/153.48 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) % 153.71/153.48 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom, % 153.71/153.48 ! [V_b_2,V_a_2] : % 153.71/153.48 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) % 153.71/153.48 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__extend__simps_I2_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 153.71/153.48 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 ) % 153.71/153.48 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__extend__simps_I3_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 153.71/153.48 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 153.71/153.48 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__simps_I2_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 153.71/153.48 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.48 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UN__simps_I3_J,axiom, % 153.71/153.48 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 153.71/153.48 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.48 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.48 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_compl__bot__eq,axiom, % 153.71/153.48 ! [T_a] : % 153.71/153.48 ( class_Lattices_Oboolean__algebra(T_a) % 153.71/153.48 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_compl__top__eq,axiom, % 153.71/153.48 ! [T_a] : % 153.71/153.48 ( class_Lattices_Oboolean__algebra(T_a) % 153.71/153.48 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_UNIV__option__conv,axiom, % 153.71/153.48 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(T_b)),c_Option_Ooption_ONone(T_b)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_b),c_Option_Ooption_OSome(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_single__Diff__lessThan,axiom, % 153.71/153.48 ! [V_k_2,T_b] : % 153.71/153.48 ( class_Orderings_Oorder(T_b) % 153.71/153.48 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_image__eq__UN,axiom, % 153.71/153.48 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastLessThan__singleton,axiom, % 153.71/153.48 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_m_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_m_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atMost__0,axiom, % 153.71/153.48 hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom, % 153.71/153.48 ! [V_c_2,V_b_2,V_a_2] : % 153.71/153.48 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) % 153.71/153.48 <=> ( V_a_2 = V_b_2 % 153.71/153.48 & V_b_2 = V_c_2 ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_dvd_OatLeastAtMost__singleton,axiom, % 153.71/153.48 ! [V_a_2] : c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom, % 153.71/153.48 ! [V_b_2,V_a_2] : % 153.71/153.48 ( V_a_2 = V_b_2 % 153.71/153.48 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_greaterThan__Suc,axiom, % 153.71/153.48 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeast__Suc,axiom, % 153.71/153.48 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_card__UNIV__bool,axiom, % 153.71/153.48 hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I2_J,axiom, % 153.71/153.48 ! [V_u_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_atLeastLessThanSuc,axiom, % 153.71/153.48 ! [V_na_2,V_m_2] : % 153.71/153.48 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.71/153.48 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_na_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) ) % 153.71/153.48 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.71/153.48 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ). % 153.71/153.48 % 153.71/153.48 fof(fact_ivl__disj__un_I1_J,axiom, % 153.71/153.48 ! [V_l_2,T_b] : % 153.71/153.48 ( class_Orderings_Olinorder(T_b) % 153.71/153.48 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ). % 153.71/153.48 % 153.71/153.49 fof(fact_ivl__disj__un_I6_J,axiom, % 153.71/153.49 ! [V_u_2,V_l_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 153.71/153.49 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ivl__disj__un_I5_J,axiom, % 153.71/153.49 ! [V_u_2,V_l_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 153.71/153.49 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ivl__disj__un_I3_J,axiom, % 153.71/153.49 ! [V_u_2,V_l_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 153.71/153.49 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ivl__disj__un_I4_J,axiom, % 153.71/153.49 ! [V_u_2,V_l_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 153.71/153.49 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_the__elem__def,axiom, % 153.71/153.49 ! [V_X_2,T_b] : c_Set_Othe__elem(T_b,V_X_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card_Oempty,axiom, % 153.71/153.49 ! [T_b] : hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.71/153.49 % 153.71/153.49 fof(fact_dvd_OgreaterThanLessThan__empty,axiom, % 153.71/153.49 ! [V_k_2,V_l_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) % 153.71/153.49 => c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_the__elem__eq,axiom, % 153.71/153.49 ! [V_x_2,T_b] : c_Set_Othe__elem(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ). % 153.71/153.49 % 153.71/153.49 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 153.71/153.49 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_bot__nat__def,axiom, % 153.71/153.49 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__UNIV__unit,axiom, % 153.71/153.49 hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit),c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 153.71/153.49 c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 153.71/153.49 c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_simp__from__to,axiom, % 153.71/153.49 ! [V_i_2,V_j_2] : % 153.71/153.49 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 153.71/153.49 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 153.71/153.49 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint),V_i_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_nat__def,axiom, % 153.71/153.49 ! [V_z_2] : hAPP(c_Int_Onat,V_z_2) = c_Set_Othe__elem(tc_Nat_Onat,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_Nat_Onat))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Option_Oset_Osimps_I2_J,axiom, % 153.71/153.49 ! [V_x_2,T_b] : c_Option_Oset(T_b,hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom, % 153.71/153.49 ! [V_b_2,V_a_2] : % 153.71/153.49 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) % 153.71/153.49 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 153.71/153.49 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom, % 153.71/153.49 ! [V_l_2,V_k_2] : % 153.71/153.49 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) % 153.71/153.49 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2)) % 153.71/153.49 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Rep__Integ__inject,axiom, % 153.71/153.49 ! [V_y_2,V_x_2] : % 153.71/153.49 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 153.71/153.49 <=> V_x_2 = V_y_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_set__empty__eq,axiom, % 153.71/153.49 ! [V_xo_2,T_b] : % 153.71/153.49 ( c_Option_Oset(T_b,V_xo_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 <=> V_xo_2 = c_Option_Ooption_ONone(T_b) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Option_Oset_Osimps_I1_J,axiom, % 153.71/153.49 ! [T_b] : c_Option_Oset(T_b,c_Option_Ooption_ONone(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.49 % 153.71/153.49 fof(fact_dvd_OgreaterThanAtMost__empty,axiom, % 153.71/153.49 ! [V_k_2,V_l_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) % 153.71/153.49 => c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_dvd_OatLeastLessThan__empty,axiom, % 153.71/153.49 ! [V_a_2,V_b_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) % 153.71/153.49 => c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom, % 153.71/153.49 ! [V_l_2,V_k_2] : % 153.71/153.49 ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) % 153.71/153.49 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2)) % 153.71/153.49 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom, % 153.71/153.49 ! [V_b_2,V_a_2] : % 153.71/153.49 ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) % 153.71/153.49 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 153.71/153.49 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card_Oinsert__remove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_type__definition__code__numeral,axiom, % 153.71/153.49 c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral,tc_Nat_Onat,c_Code__Numeral_Onat__of,c_Code__Numeral_Oof__nat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__left__comm__idem__remove,axiom, % 153.71/153.49 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__Diff1__le,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__atLeastLessThan,axiom, % 153.71/153.49 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__atLeastAtMost__int,axiom, % 153.71/153.49 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__atLeastAtMost,axiom, % 153.71/153.49 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__lessThan,axiom, % 153.71/153.49 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__atMost,axiom, % 153.71/153.49 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__atLeastLessThan__int,axiom, % 153.71/153.49 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__greaterThanAtMost,axiom, % 153.71/153.49 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__greaterThanAtMost__int,axiom, % 153.71/153.49 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__greaterThanLessThan__int,axiom, % 153.71/153.49 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__greaterThanLessThan,axiom, % 153.71/153.49 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite_OemptyI,axiom, % 153.71/153.49 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite_OinsertI,axiom, % 153.71/153.49 ! [V_a_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__imageI,axiom, % 153.71/153.49 ! [V_h_2,T_c,V_F_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__Diff,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__Prod__UNIV,axiom, % 153.71/153.49 ! [T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__fun__UNIVD2,axiom, % 153.71/153.49 ! [T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool)))) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__insert,axiom, % 153.71/153.49 ! [V_A_2,V_a_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) % 153.71/153.49 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__Plus__UNIV__iff,axiom, % 153.71/153.49 ! [T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)))) % 153.71/153.49 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.49 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_infinite__UNIV__nat,axiom, % 153.71/153.49 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__UNIV,axiom, % 153.71/153.49 ! [T_b] : % 153.71/153.49 ( class_Finite__Set_Ofinite(T_b) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite_Oequations_I1_J,axiom, % 153.71/153.49 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__UN,axiom, % 153.71/153.49 ! [V_B_2,T_c,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.49 <=> ! [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__nat__set__iff__bounded,axiom, % 153.71/153.49 ! [V_N_2] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 153.71/153.49 <=> ? [B_m] : % 153.71/153.49 ! [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 153.71/153.49 ! [V_N_2] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 153.71/153.49 <=> ? [B_m] : % 153.71/153.49 ! [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 153.71/153.49 ! [V_A_2] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 153.71/153.49 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( class_Finite__Set_Ofinite(T_b) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__code,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( class_Finite__Set_Ofinite(T_b) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom, % 153.71/153.49 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] : % 153.71/153.49 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 153.71/153.49 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) = hAPP(hAPP(V_f_2,V_x_2),V_z_2) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__Diff2,axiom, % 153.71/153.49 ! [V_A_2,V_B_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.49 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom, % 153.71/153.49 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 153.71/153.49 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 153.71/153.49 => c_Finite__Set_Ofun__left__comm__idem(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__subset,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_rev__finite__subset,axiom, % 153.71/153.49 ! [V_A_2,V_B_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__UnI,axiom, % 153.71/153.49 ! [V_G_2,V_F_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__Un,axiom, % 153.71/153.49 ! [V_G_2,V_F_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) % 153.71/153.49 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 153.71/153.49 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__option__UNIV,axiom, % 153.71/153.49 ! [T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool)))) % 153.71/153.49 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 153.71/153.49 ! [V_A_2] : % 153.71/153.49 ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 153.71/153.49 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__left__comm__idem__insert,axiom, % 153.71/153.49 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__left__comm__idem,axiom, % 153.71/153.49 ! [T_b] : % 153.71/153.49 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 153.71/153.49 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__left__comm__idem__sup,axiom, % 153.71/153.49 ! [T_b] : % 153.71/153.49 ( class_Lattices_Osemilattice__sup(T_b) % 153.71/153.49 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom, % 153.71/153.49 ! [T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom, % 153.71/153.49 ! [T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__infinite,axiom, % 153.71/153.49 ! [V_f_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.49 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum_Oinfinite,axiom, % 153.71/153.49 ! [V_g_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.49 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__surj,axiom, % 153.71/153.49 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__Diff__insert,axiom, % 153.71/153.49 ! [V_B_2,V_a_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)))) % 153.71/153.49 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__infinite,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.49 => ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.49 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__compl,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 153.71/153.49 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__eq__0__iff,axiom, % 153.71/153.49 ! [V_f_2,V_F_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 153.71/153.49 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.49 <=> ! [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 153.71/153.49 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum_Odistrib,axiom, % 153.71/153.49 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Oplus__class_Oplus(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 153.71/153.49 ! [V_u_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__range__imageI,axiom, % 153.71/153.49 ! [V_f_2,T_d,V_g_2,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,hAPP(hAPP(c_COMBB(T_b,T_d,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__eq__0__iff,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.49 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__ge__0__finite,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__insert__le,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__seteq,axiom, % 153.71/153.49 ! [V_A_2,V_B_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) % 153.71/153.49 => V_A_2 = V_B_2 ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__mono,axiom, % 153.71/153.49 ! [V_A_2,V_B_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__image__le,axiom, % 153.71/153.49 ! [V_f_2,T_c,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__eq__Suc0__iff,axiom, % 153.71/153.49 ! [V_f_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 153.71/153.49 <=> ? [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.49 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 153.71/153.49 & ! [B_xa] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 153.71/153.49 => ( B_x != B_xa % 153.71/153.49 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_psubset__card__mono,axiom, % 153.71/153.49 ! [V_A_2,V_B_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__eq__1__iff,axiom, % 153.71/153.49 ! [V_f_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 153.71/153.49 <=> ? [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.49 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 153.71/153.49 & ! [B_xa] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 153.71/153.49 => ( B_x != B_xa % 153.71/153.49 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__gt__0__iff,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) % 153.71/153.49 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__UNIV__card__ge__0,axiom, % 153.71/153.49 ! [T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__diff,axiom, % 153.71/153.49 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Oab__group__add(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__Diff__subset,axiom, % 153.71/153.49 ! [V_A_2,V_B_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_diff__card__le__card__Diff,axiom, % 153.71/153.49 ! [V_A_2,V_B_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__psubset,axiom, % 153.71/153.49 ! [V_A_2,V_B_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__diff__nat,axiom, % 153.71/153.49 ! [V_f_2,V_A_2,V_B_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum_Oinsert__remove,axiom, % 153.71/153.49 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__insert,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__fun__UNIVD1,axiom, % 153.71/153.49 ! [T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool)))) % 153.71/153.49 => ( hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_type__definition_ORep__range,axiom, % 153.71/153.49 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 153.71/153.49 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 153.71/153.49 => hAPP(c_Set_Oimage(T_b,T_c,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_type__definition_OAbs__image,axiom, % 153.71/153.49 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 153.71/153.49 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 153.71/153.49 => hAPP(c_Set_Oimage(T_c,T_b,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__mono3,axiom, % 153.71/153.49 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 153.71/153.49 ( ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.49 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 => ( ! [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_infinite__UNIV__int,axiom, % 153.71/153.49 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_type__definition_ORep__inverse,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 153.71/153.49 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 153.71/153.49 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_type__definition_ORep__inject,axiom, % 153.71/153.49 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 153.71/153.49 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 153.71/153.49 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 153.71/153.49 <=> V_x_2 = V_y_2 ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__Diff__singleton,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__Diff__singleton__if,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_folding__one_Oinsert__remove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 153.71/153.49 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 153.71/153.49 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.49 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.49 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_equalityCE,axiom, % 153.71/153.49 ! [V_c_2,T_b,V_B_2,V_A_2] : % 153.71/153.49 ( V_A_2 = V_B_2 % 153.71/153.49 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.49 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) % 153.71/153.49 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_SUP2__I,axiom, % 153.71/153.49 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_emptyE,axiom, % 153.71/153.49 ! [V_a_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_insertCI,axiom, % 153.71/153.49 ! [V_b_2,V_B_2,V_a_2,T_b] : % 153.71/153.49 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 153.71/153.49 => V_a_2 = V_b_2 ) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_insertE,axiom, % 153.71/153.49 ! [V_A_2,V_b_2,V_a_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 153.71/153.49 => ( V_a_2 != V_b_2 % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_subsetD,axiom, % 153.71/153.49 ! [V_c_2,V_B_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_UNIV__I,axiom, % 153.71/153.49 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_image__eqI,axiom, % 153.71/153.49 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] : % 153.71/153.49 ( V_b_2 = hAPP(V_f_2,V_x_2) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_UnCI,axiom, % 153.71/153.49 ! [V_A_2,V_B_2,V_c_2,T_b] : % 153.71/153.49 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_UnE,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,V_c_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_DiffI,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,V_c_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_DiffE,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,V_c_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.49 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ComplI,axiom, % 153.71/153.49 ! [V_A_2,V_c_2,T_b] : % 153.71/153.49 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_SUP1__I,axiom, % 153.71/153.49 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_UN__I,axiom, % 153.71/153.49 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_mem__splitI,axiom, % 153.71/153.49 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_pair__imageI,axiom, % 153.71/153.49 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),V_A_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_folding__image__simple_Oinsert,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.49 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_type__definition_OAbs__inject,axiom, % 153.71/153.49 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 153.71/153.49 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 153.71/153.49 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 153.71/153.49 <=> V_x_2 = V_y_2 ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_type__definition_OAbs__inverse,axiom, % 153.71/153.49 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 153.71/153.49 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 153.71/153.49 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_type__definition_ORep,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 153.71/153.49 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_bot__empty__eq,axiom, % 153.71/153.49 ! [V_x_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ord_OatLeastAtMost__iff,axiom, % 153.71/153.49 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_b,V_less__eq_2,V_l_2,V_u_2))) % 153.71/153.49 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 153.71/153.49 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_pred__equals__eq2,axiom, % 153.71/153.49 ! [V_S_2,V_R_2,T_c,T_b] : % 153.71/153.49 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2) % 153.71/153.49 <=> V_R_2 = V_S_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_sup__Un__eq2,axiom, % 153.71/153.49 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2)) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_bot__empty__eq2,axiom, % 153.71/153.49 ! [V_y_2,V_x_2,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_pred__subset__eq,axiom, % 153.71/153.49 ! [V_S_2,V_R_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_insertI1,axiom, % 153.71/153.49 ! [V_B_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_insert__iff,axiom, % 153.71/153.49 ! [V_A_2,V_b_2,V_a_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 153.71/153.49 <=> ( V_a_2 = V_b_2 % 153.71/153.49 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_insert__ident,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,V_x_2,T_b] : % 153.71/153.49 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 153.71/153.49 => ( hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2) % 153.71/153.49 <=> V_A_2 = V_B_2 ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_insertI2,axiom, % 153.71/153.49 ! [V_b_2,V_B_2,V_a_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_insert__absorb,axiom, % 153.71/153.49 ! [V_A_2,V_a_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_equals0D,axiom, % 153.71/153.49 ! [V_a_2,T_b,V_A_2] : % 153.71/153.49 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_empty__iff,axiom, % 153.71/153.49 ! [V_c_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ex__in__conv,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.49 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_all__not__in__conv,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.49 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_UnI2,axiom, % 153.71/153.49 ! [V_A_2,V_B_2,V_c_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_UnI1,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,V_c_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Un__iff,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,V_c_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.49 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.49 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_set__mp,axiom, % 153.71/153.49 ! [V_x_2,V_B_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_set__rev__mp,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,V_x_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_in__mono,axiom, % 153.71/153.49 ! [V_x_2,V_B_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Compl__iff,axiom, % 153.71/153.49 ! [V_A_2,V_c_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 153.71/153.49 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ComplD,axiom, % 153.71/153.49 ! [V_A_2,V_c_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 153.71/153.49 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ComplE,axiom, % 153.71/153.49 ! [V_A_2,V_c_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 153.71/153.49 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_mem__def,axiom, % 153.71/153.49 ! [V_A_2,V_x_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_eqset__imp__iff,axiom, % 153.71/153.49 ! [V_x_2,T_b,V_B_2,V_A_2] : % 153.71/153.49 ( V_A_2 = V_B_2 % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_eqelem__imp__iff,axiom, % 153.71/153.49 ! [V_A_2,T_b,V_y_2,V_x_2] : % 153.71/153.49 ( V_x_2 = V_y_2 % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_eq__mem__trans,axiom, % 153.71/153.49 ! [V_A_2,T_b,V_b_2,V_a_2] : % 153.71/153.49 ( V_a_2 = V_b_2 % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_eq__mem,axiom, % 153.71/153.49 ! [V_y_2,V_x_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2))) % 153.71/153.49 <=> V_x_2 = V_y_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_pred__equals__eq,axiom, % 153.71/153.49 ! [V_S_2,V_R_2,T_b] : % 153.71/153.49 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2) % 153.71/153.49 <=> V_R_2 = V_S_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_psubsetD,axiom, % 153.71/153.49 ! [V_c_2,V_B_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 153.71/153.49 ! [V_A_2,V_x_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_image__iff,axiom, % 153.71/153.49 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 153.71/153.49 <=> ? [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 153.71/153.49 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_imageI,axiom, % 153.71/153.49 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_rev__image__eqI,axiom, % 153.71/153.49 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( V_b_2 = hAPP(V_f_2,V_x_2) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_DiffD2,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,V_c_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.49 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_DiffD1,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,V_c_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Diff__iff,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,V_c_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.49 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.49 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_sup__Un__eq,axiom, % 153.71/153.49 ! [V_x_2,V_S_2,V_R_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2)) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_UN__iff,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.49 <=> ? [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 153.71/153.49 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ord_OatLeastLessThan__iff,axiom, % 153.71/153.49 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2))) % 153.71/153.49 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 153.71/153.49 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 153.71/153.49 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2))) % 153.71/153.49 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 153.71/153.49 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_folding__one_Oinsert,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 153.71/153.49 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_folding__image__simple_Oempty,axiom, % 153.71/153.49 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.49 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 153.71/153.49 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_singletonE,axiom, % 153.71/153.49 ! [V_a_2,V_b_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 153.71/153.49 => V_b_2 = V_a_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_singleton__iff,axiom, % 153.71/153.49 ! [V_a_2,V_b_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 153.71/153.49 <=> V_b_2 = V_a_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_subset__insert,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,V_x_2,T_b] : % 153.71/153.49 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_insert__subset,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,V_x_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2)) % 153.71/153.49 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 153.71/153.49 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_insert__image,axiom, % 153.71/153.49 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_range__eqI,axiom, % 153.71/153.49 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] : % 153.71/153.49 ( V_b_2 = hAPP(V_f_2,V_x_2) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_rangeI,axiom, % 153.71/153.49 ! [T_c,V_x_2,V_f_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_insert__Diff__if,axiom, % 153.71/153.49 ! [V_A_2,V_B_2,V_x_2,T_b] : % 153.71/153.49 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 153.71/153.49 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 153.71/153.49 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_insert__Diff1,axiom, % 153.71/153.49 ! [V_A_2,V_B_2,V_x_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 153.71/153.49 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_lessThan__iff,axiom, % 153.71/153.49 ! [V_k_2,V_i_2,T_b] : % 153.71/153.49 ( class_Orderings_Oord(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 153.71/153.49 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_b,V_less_2,V_l_2,V_u_2))) % 153.71/153.49 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 153.71/153.49 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 153.71/153.49 ! [V_A_2,V_x_2] : % 153.71/153.49 ( c_Nat__Transfer_Ois__nat(V_x_2) % 153.71/153.49 => ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_atMost__iff,axiom, % 153.71/153.49 ! [V_k_2,V_i_2,T_b] : % 153.71/153.49 ( class_Orderings_Oord(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_atLeast__iff,axiom, % 153.71/153.49 ! [V_k_2,V_i_2,T_b] : % 153.71/153.49 ( class_Orderings_Oord(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_greaterThan__iff,axiom, % 153.71/153.49 ! [V_k_2,V_i_2,T_b] : % 153.71/153.49 ( class_Orderings_Oord(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_code__numeral_Oof__nat__inject,axiom, % 153.71/153.49 ! [V_y_2,V_x_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 153.71/153.49 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 153.71/153.49 <=> V_x_2 = V_y_2 ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_le__SUPI,axiom, % 153.71/153.49 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 153.71/153.49 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_M_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_nat__of,axiom, % 153.71/153.49 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_x_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 153.71/153.49 ! [V_x_2,V_A_2] : % 153.71/153.49 ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 153.71/153.49 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_SUP__UN__eq2,axiom, % 153.71/153.49 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2)) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_folding__image__simple_Oremove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.49 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_folding__one_Oremove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 153.71/153.49 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 153.71/153.49 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_UN__insert__distrib,axiom, % 153.71/153.49 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_UN__upper,axiom, % 153.71/153.49 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_SUP__UN__eq,axiom, % 153.71/153.49 ! [V_x_2,V_r_2,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2)) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_UN__absorb,axiom, % 153.71/153.49 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 153.71/153.49 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_elem__set,axiom, % 153.71/153.49 ! [V_xo_2,V_x_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Option_Oset(T_b,V_xo_2))) % 153.71/153.49 <=> V_xo_2 = hAPP(c_Option_Ooption_OSome(T_b),V_x_2) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_pred__subset__eq2,axiom, % 153.71/153.49 ! [V_S_2,V_R_2,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_insert__Diff,axiom, % 153.71/153.49 ! [V_A_2,V_a_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = V_A_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Diff__insert__absorb,axiom, % 153.71/153.49 ! [V_A_2,V_x_2,T_b] : % 153.71/153.49 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 153.71/153.49 ! [V_x_2,V_A_2] : % 153.71/153.49 ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__delta,axiom, % 153.71/153.49 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.49 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__delta_H,axiom, % 153.71/153.49 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.49 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_image__constant,axiom, % 153.71/153.49 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_of__nat__inverse,axiom, % 153.71/153.49 ! [V_y_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 153.71/153.49 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_folding__one_Osingleton,axiom, % 153.71/153.49 ! [V_x_2,V_F_2,V_f_2,T_b] : % 153.71/153.49 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 153.71/153.49 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__insert,axiom, % 153.71/153.49 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_F_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum_Oinsert,axiom, % 153.71/153.49 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_subset__insert__iff,axiom, % 153.71/153.49 ! [V_B_2,V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) % 153.71/153.49 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_diff__single__insert,axiom, % 153.71/153.49 ! [V_B_2,V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__insert__if,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__insert__disjoint,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card_Oinsert,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_psubset__insert__iff,axiom, % 153.71/153.49 ! [V_B_2,V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) % 153.71/153.49 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 153.71/153.49 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__diff1__nat,axiom, % 153.71/153.49 ! [V_f_2,V_A_2,V_a_2,T_b] : % 153.71/153.49 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum_Oremove,axiom, % 153.71/153.49 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__diff1_H,axiom, % 153.71/153.49 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__diff1,axiom, % 153.71/153.49 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Oab__group__add(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__diff1__ring,axiom, % 153.71/153.49 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Rings_Oring(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__Suc__Diff1,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__Diff2__less,axiom, % 153.71/153.49 ! [V_y_2,V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__Diff1__less,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__Diff__insert,axiom, % 153.71/153.49 ! [V_B_2,V_a_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card_Oremove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_in__rel__def,axiom, % 153.71/153.49 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2)) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_R_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 153.71/153.49 ! [V_f_2,V_A_2,T_b] : % 153.71/153.49 ( ! [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.49 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_bset_I8_J,axiom, % 153.71/153.49 ! [V_B_2,V_t_2,V_D_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2)) % 153.71/153.49 => ! [B_x] : % 153.71/153.49 ( ! [B_xa] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.49 => ! [B_xb] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 153.71/153.49 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_aset_I6_J,axiom, % 153.71/153.49 ! [V_A_2,V_t_2,V_D_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2)) % 153.71/153.49 => ! [B_x] : % 153.71/153.49 ( ! [B_xa] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.49 => ! [B_xb] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 153.71/153.49 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_sup2E,axiom, % 153.71/153.49 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_sup2CI,axiom, % 153.71/153.49 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] : % 153.71/153.49 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 153.71/153.49 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_bot2E,axiom, % 153.71/153.49 ! [V_y_2,V_x_2,T_c,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) ). % 153.71/153.49 % 153.71/153.49 fof(fact_sup2I1,axiom, % 153.71/153.49 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_sup2I2,axiom, % 153.71/153.49 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_SUP2__iff,axiom, % 153.71/153.49 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 153.71/153.49 <=> ? [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.49 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_less__by__empty,axiom, % 153.71/153.49 ! [V_B_2,T_b,V_A_2] : % 153.71/153.49 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Nitpick_Orefl_H__def,axiom, % 153.71/153.49 ! [V_r_2,T_b] : % 153.71/153.49 ( c_Nitpick_Orefl_H(T_b,V_r_2) % 153.71/153.49 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_dvd_OgreaterThan__iff,axiom, % 153.71/153.49 ! [V_k_2,V_i_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2))) % 153.71/153.49 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) % 153.71/153.49 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_dvd_OlessThan__iff,axiom, % 153.71/153.49 ! [V_k_2,V_i_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OlessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2))) % 153.71/153.49 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) % 153.71/153.49 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ord_OlessThan__iff,axiom, % 153.71/153.49 ! [V_k_2,V_less_2,V_i_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ord_OgreaterThan__iff,axiom, % 153.71/153.49 ! [V_k_2,V_less_2,V_i_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_aset_I4_J,axiom, % 153.71/153.49 ! [V_A_2,V_t_2,V_D_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 153.71/153.49 => ! [B_x] : % 153.71/153.49 ( ! [B_xa] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.49 => ! [B_xb] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 153.71/153.49 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 153.71/153.49 => ( B_x != V_t_2 % 153.71/153.49 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_bset_I4_J,axiom, % 153.71/153.49 ! [V_B_2,V_t_2,V_D_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 153.71/153.49 => ! [B_x] : % 153.71/153.49 ( ! [B_xa] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.49 => ! [B_xb] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 153.71/153.49 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 153.71/153.49 => ( B_x != V_t_2 % 153.71/153.49 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_bset_I7_J,axiom, % 153.71/153.49 ! [V_B_2,V_t_2,V_D_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 153.71/153.49 => ! [B_x] : % 153.71/153.49 ( ! [B_xa] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.49 => ! [B_xb] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 153.71/153.49 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_bset_I3_J,axiom, % 153.71/153.49 ! [V_B_2,V_t_2,V_D_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2)) % 153.71/153.49 => ( ! [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.49 => ! [B_xa] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 153.71/153.49 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 153.71/153.49 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_aset_I3_J,axiom, % 153.71/153.49 ! [V_A_2,V_t_2,V_D_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2)) % 153.71/153.49 => ( ! [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.49 => ! [B_xa] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 153.71/153.49 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 153.71/153.49 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_aset_I5_J,axiom, % 153.71/153.49 ! [V_A_2,V_t_2,V_D_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 153.71/153.49 => ! [B_x] : % 153.71/153.49 ( ! [B_xa] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 153.71/153.49 => ! [B_xb] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 153.71/153.49 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_in__measure,axiom, % 153.71/153.49 ! [V_f_2,V_y_2,V_x_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_dvd_OatMost__iff,axiom, % 153.71/153.49 ! [V_k_2,V_i_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_dvd_OatLeast__iff,axiom, % 153.71/153.49 ! [V_k_2,V_i_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatLeast(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ord_OatLeast__iff,axiom, % 153.71/153.49 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ord_OatMost__iff,axiom, % 153.71/153.49 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 153.71/153.49 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_y_2) % 153.71/153.49 => c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__mono2,axiom, % 153.71/153.49 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Oordered__comm__monoid__add(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 => ( ! [B_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) ) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_flat__lub__def,axiom, % 153.71/153.49 ! [V_b_2,V_A_2,T_b] : % 153.71/153.49 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 153.71/153.49 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 153.71/153.49 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 153.71/153.49 ! [V_a2_2,V_a1_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_a2_2) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 153.71/153.49 ! [V_z_2,V_f_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_z_2) ). % 153.71/153.49 % 153.71/153.49 fof(fact_mlex__leq,axiom, % 153.71/153.49 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_mlex__less,axiom, % 153.71/153.49 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setsum__bounded,axiom, % 153.71/153.49 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( ( class_Groups_Oordered__ab__semigroup__add(T_c) % 153.71/153.49 & class_Rings_Osemiring__1(T_c) ) % 153.71/153.49 => ( ! [B_i] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) ) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_K_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__Suc__eq,axiom, % 153.71/153.49 ! [V_k_2,V_A_2,T_b] : % 153.71/153.49 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 153.71/153.49 <=> ? [B_b,B_B] : % 153.71/153.49 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B) % 153.71/153.49 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B)) % 153.71/153.49 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2 % 153.71/153.49 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.49 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Nats__number__of,axiom, % 153.71/153.49 ! [V_w_2,T_b] : % 153.71/153.49 ( class_Int_Onumber__ring(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Ints__odd__less__0,axiom, % 153.71/153.49 ! [V_a_2,T_b] : % 153.71/153.49 ( class_Rings_Olinordered__idom(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 153.71/153.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Ints__0,axiom, % 153.71/153.49 ! [T_b] : % 153.71/153.49 ( class_Rings_Oring__1(T_b) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Ints__add,axiom, % 153.71/153.49 ! [V_b_2,V_a_2,T_b] : % 153.71/153.49 ( class_Rings_Oring__1(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Ints__mult,axiom, % 153.71/153.49 ! [V_b_2,V_a_2,T_b] : % 153.71/153.49 ( class_Rings_Oring__1(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Ints__diff,axiom, % 153.71/153.49 ! [V_b_2,V_a_2,T_b] : % 153.71/153.49 ( class_Rings_Oring__1(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Ints__number__of,axiom, % 153.71/153.49 ! [V_w_2,T_b] : % 153.71/153.49 ( class_Int_Onumber__ring(T_b) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Ints__1,axiom, % 153.71/153.49 ! [T_b] : % 153.71/153.49 ( class_Rings_Oring__1(T_b) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Ints__minus,axiom, % 153.71/153.49 ! [V_a_2,T_b] : % 153.71/153.49 ( class_Rings_Oring__1(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Ints__of__nat,axiom, % 153.71/153.49 ! [V_na_2,T_b] : % 153.71/153.49 ( class_Rings_Oring__1(T_b) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Ints__power,axiom, % 153.71/153.49 ! [V_na_2,V_a_2,T_b] : % 153.71/153.49 ( class_Rings_Oring__1(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Ints__of__int,axiom, % 153.71/153.49 ! [V_z_2,T_b] : % 153.71/153.49 ( class_Rings_Oring__1(T_b) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Nats__0,axiom, % 153.71/153.49 ! [T_b] : % 153.71/153.49 ( class_Rings_Osemiring__1(T_b) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Nats__add,axiom, % 153.71/153.49 ! [V_b_2,V_a_2,T_b] : % 153.71/153.49 ( class_Rings_Osemiring__1(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Nats__mult,axiom, % 153.71/153.49 ! [V_b_2,V_a_2,T_b] : % 153.71/153.49 ( class_Rings_Osemiring__1(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Nats__1,axiom, % 153.71/153.49 ! [T_b] : % 153.71/153.49 ( class_Rings_Osemiring__1(T_b) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_of__nat__in__Nats,axiom, % 153.71/153.49 ! [V_na_2,T_b] : % 153.71/153.49 ( class_Rings_Osemiring__1(T_b) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Ints__double__eq__0__iff,axiom, % 153.71/153.49 ! [V_a_2,T_b] : % 153.71/153.49 ( class_Int_Oring__char__0(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 153.71/153.49 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 153.71/153.49 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Ints__odd__nonzero,axiom, % 153.71/153.49 ! [V_a_2,T_b] : % 153.71/153.49 ( class_Int_Oring__char__0(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 153.71/153.49 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Sup__fin_Oremove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Lattices_Olattice(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 ) % 153.71/153.49 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Max_Oremove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) % 153.71/153.49 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Min_Oremove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) % 153.71/153.49 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_minus__Min__eq__Max,axiom, % 153.71/153.49 ! [V_S_2,T_b] : % 153.71/153.49 ( class_Groups_Olinordered__ab__group__add(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.49 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_minus__Max__eq__Min,axiom, % 153.71/153.49 ! [V_S_2,T_b] : % 153.71/153.49 ( class_Groups_Olinordered__ab__group__add(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.49 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Max_Osingleton,axiom, % 153.71/153.49 ! [V_x_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Min_Osingleton,axiom, % 153.71/153.49 ! [V_x_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Sup__fin_Osingleton,axiom, % 153.71/153.49 ! [V_x_2,T_b] : % 153.71/153.49 ( class_Lattices_Olattice(T_b) % 153.71/153.49 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Max__ge,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Min__le,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_x_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Max__in,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Min__in,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Sup__fin_Oin__idem,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Lattices_Olattice(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Min_Oin__idem,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Max_Oin__idem,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Max__mono,axiom, % 153.71/153.49 ! [V_N_2,V_M_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 153.71/153.49 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2))) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Min__antimono,axiom, % 153.71/153.49 ! [V_N_2,V_M_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 153.71/153.49 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_M_2))) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Sup__fin_Oinsert__idem,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Lattices_Olattice(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Min__insert,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Sup__fin_Osubset__idem,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_b] : % 153.71/153.49 ( class_Lattices_Olattice(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Max__insert,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Min_Osubset__idem,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Sup__fin_Ounion__idem,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_b] : % 153.71/153.49 ( class_Lattices_Olattice(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Max_Osubset__idem,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Min__Un,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Max__Un,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Sup__fin_Oinsert,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Lattices_Olattice(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Min_Oinsert,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Max_Oinsert,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Sup__fin_Oinsert__remove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Lattices_Olattice(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 153.71/153.49 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Min_Oinsert__remove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 153.71/153.49 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Max_Oinsert__remove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 153.71/153.49 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Max_Oclosed,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Min_Oclosed,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Sup__fin_Oclosed,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( class_Lattices_Olattice(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_iso__tuple__UNIV__I,axiom, % 153.71/153.49 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 153.71/153.49 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] : % 153.71/153.49 ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)) % 153.71/153.49 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 153.71/153.49 | ? [B_x,B_y] : % 153.71/153.49 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 153.71/153.49 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2)) % 153.71/153.49 & c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),B_y) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_in__lex__prod,axiom, % 153.71/153.49 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_b,T_c,V_r_2,V_s_2))) % 153.71/153.49 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2)) % 153.71/153.49 | ( V_a_2 = V_a_H_2 % 153.71/153.49 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_same__fstI,axiom, % 153.71/153.49 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] : % 153.71/153.49 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__Plus__conv__if,axiom, % 153.71/153.49 ! [V_B_2,T_c,V_A_2,T_b] : % 153.71/153.49 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) % 153.71/153.49 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_in__finite__psubset,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_b))) % 153.71/153.49 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_InrI,axiom, % 153.71/153.49 ! [V_A_2,T_c,V_B_2,V_b_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(tc_sum(T_c,T_b)),hAPP(c_Sum__Type_OInr(T_b,T_c),V_b_2)),c_Sum__Type_OPlus(T_c,T_b,V_A_2,V_B_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_InlI,axiom, % 153.71/153.49 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(tc_sum(T_b,T_c)),hAPP(c_Sum__Type_OInl(T_b,T_c),V_a_2)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Plus__eq__empty__conv,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_c,T_b] : % 153.71/153.49 ( c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) % 153.71/153.49 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_Plus__def,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_sum(T_b,T_c),c_Sum__Type_OInl(T_b,T_c)),V_A_2)),hAPP(c_Set_Oimage(T_c,tc_sum(T_b,T_c),c_Sum__Type_OInr(T_c,T_b)),V_B_2)) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__Plus__iff,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) % 153.71/153.49 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__Plus,axiom, % 153.71/153.49 ! [V_B_2,T_c,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__PlusD_I1_J,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__PlusD_I2_J,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_UNIV__Plus__UNIV,axiom, % 153.71/153.49 ! [T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) ). % 153.71/153.49 % 153.71/153.49 fof(fact_card__Plus,axiom, % 153.71/153.49 ! [V_B_2,T_c,V_A_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 153.71/153.49 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OSup__fin_Oremove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 ) % 153.71/153.49 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OInf__fin_Oremove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 ) % 153.71/153.49 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_folding__one_Oclosed,axiom, % 153.71/153.49 ! [V_A_2,V_F_2,V_f_2,T_b] : % 153.71/153.49 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OInf__le__Sup,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 153.71/153.49 ! [V_x_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 153.71/153.49 ! [V_x_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 153.71/153.49 ! [V_a_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_a_2 ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_Osup__Inf__absorb,axiom, % 153.71/153.49 ! [V_a_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_a_2 ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 153.71/153.49 ! [V_B_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 153.71/153.49 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 153.71/153.49 ! [V_x_2,V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 153.71/153.49 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),V_A_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 153.71/153.49 ! [V_A_2,T_b] : % 153.71/153.49 ( class_Orderings_Olinorder(T_b) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.49 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),V_A_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__upd__image,axiom, % 153.71/153.49 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 153.71/153.49 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__upd__triv,axiom, % 153.71/153.49 ! [V_x_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),hAPP(V_f_2,V_x_2)) = V_f_2 ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__upd__idem__iff,axiom, % 153.71/153.49 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 153.71/153.49 ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2) = V_f_2 % 153.71/153.49 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__upd__upd,axiom, % 153.71/153.49 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2)),V_x_2),V_z_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_z_2) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__upd__same,axiom, % 153.71/153.49 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,T_b),V_f_2),V_x_2),V_y_2),V_x_2) = V_y_2 ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__upd__apply,axiom, % 153.71/153.49 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 153.71/153.49 ( ( V_z_2 = V_x_2 % 153.71/153.49 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2),V_z_2) = V_y_2 ) % 153.71/153.49 & ( V_z_2 != V_x_2 % 153.71/153.49 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__upd__twist,axiom, % 153.71/153.49 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] : % 153.71/153.49 ( V_a_2 != V_c_2 % 153.71/153.49 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_m_2),V_a_2),V_b_2)),V_c_2),V_d_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_m_2),V_c_2),V_d_2)),V_a_2),V_b_2) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__upd__other,axiom, % 153.71/153.49 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 153.71/153.49 ( V_z_2 != V_x_2 % 153.71/153.49 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__upd__idem,axiom, % 153.71/153.49 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] : % 153.71/153.49 ( hAPP(V_f_2,V_x_2) = V_y_2 % 153.71/153.49 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,T_b),V_f_2),V_x_2),V_y_2) = V_f_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__upd__def,axiom, % 153.71/153.49 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] : % 153.71/153.49 ( ( V_x_2 = V_a_2 % 153.71/153.49 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_a_2),V_b_2),V_x_2) = V_b_2 ) % 153.71/153.49 & ( V_x_2 != V_a_2 % 153.71/153.49 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_a_2),V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_finite__range__updI,axiom, % 153.71/153.49 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),hAPP(c_Set_Oimage(T_c,tc_Option_Ooption(T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) % 153.71/153.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),hAPP(c_Set_Oimage(T_c,tc_Option_Ooption(T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),V_f_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2))),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_image__map__upd,axiom, % 153.71/153.49 ! [V_y_2,V_m_2,T_c,V_A_2,V_x_2,T_b] : % 153.71/153.49 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_c),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_m_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2))),V_A_2) = hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_c),V_m_2),V_A_2) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_map__upd__nonempty,axiom, % 153.71/153.49 ! [V_x_2,V_k_2,V_t_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_t_2),V_k_2),hAPP(c_Option_Ooption_OSome(T_c),V_x_2)) != hAPP(c_COMBK(tc_Option_Ooption(T_c),T_b),c_Option_Ooption_ONone(T_c)) ). % 153.71/153.49 % 153.71/153.49 fof(fact_map__upd__eqD1,axiom, % 153.71/153.49 ! [V_y_2,V_na_2,V_x_2,V_a_2,V_m_2,T_c,T_b] : % 153.71/153.49 ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_x_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_na_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2)) % 153.71/153.49 => V_x_2 = V_y_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_map__upd__triv,axiom, % 153.71/153.49 ! [T_c,V_x_2,T_b,V_k_2,V_t_2] : % 153.71/153.49 ( hAPP(V_t_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_x_2) % 153.71/153.49 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),V_t_2),V_k_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = V_t_2 ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_map__upd__Some__unfold,axiom, % 153.71/153.49 ! [V_y_2,V_x_2,V_b_2,V_a_2,V_m_2,T_b,T_c] : % 153.71/153.49 ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) % 153.71/153.49 <=> ( ( V_x_2 = V_a_2 % 153.71/153.49 & V_b_2 = V_y_2 ) % 153.71/153.49 | ( V_x_2 != V_a_2 % 153.71/153.49 & hAPP(V_m_2,V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_empty__upd__none,axiom, % 153.71/153.49 ! [V_xa_2,V_x_2,T_b,T_c] : hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b))),V_x_2),c_Option_Ooption_ONone(T_b)),V_xa_2) = c_Option_Ooption_ONone(T_b) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ran__map__upd,axiom, % 153.71/153.49 ! [V_b_2,T_c,T_b,V_a_2,V_m_2] : % 153.71/153.49 ( hAPP(V_m_2,V_a_2) = c_Option_Ooption_ONone(T_b) % 153.71/153.49 => c_Map_Oran(T_c,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Map_Oran(T_c,T_b,V_m_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__upd__None__restrict,axiom, % 153.71/153.49 ! [V_m_2,T_c,V_D_2,V_x_2,T_b] : % 153.71/153.49 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_D_2)) % 153.71/153.49 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_m_2,V_D_2)),V_x_2),c_Option_Ooption_ONone(T_c)) = c_Map_Orestrict__map(T_b,T_c,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_D_2)) % 153.71/153.49 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_m_2,V_D_2)),V_x_2),c_Option_Ooption_ONone(T_c)) = c_Map_Orestrict__map(T_b,T_c,V_m_2,V_D_2) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__gen__delta,axiom, % 153.71/153.49 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.49 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_restrict__in,axiom, % 153.71/153.49 ! [V_m_2,T_c,V_A_2,V_x_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Map_Orestrict__map(T_b,T_c,V_m_2,V_A_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 153.71/153.49 ! [V_A_2,V_f_2,T_b] : % 153.71/153.49 ( ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.49 & class_Groups_Ocomm__monoid__mult(T_b) ) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__1,axiom, % 153.71/153.49 ! [V_A_2,T_c,T_b] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_b) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Oone__class_Oone(T_b))),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_of__int__setprod,axiom, % 153.71/153.49 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.49 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 153.71/153.49 & class_Rings_Oring__1(T_b) ) % 153.71/153.49 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 153.71/153.49 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ). % 153.71/153.49 % 153.71/153.49 fof(fact_int__setprod,axiom, % 153.71/153.49 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ). % 153.71/153.49 % 153.71/153.49 fof(fact_of__nat__setprod,axiom, % 153.71/153.49 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.49 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 153.71/153.49 & class_Rings_Osemiring__1(T_b) ) % 153.71/153.49 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__timesf,axiom, % 153.71/153.49 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_b) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),V_A_2)) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_abs__setprod,axiom, % 153.71/153.49 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.49 ( class_Fields_Olinordered__field(T_b) % 153.71/153.49 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__zero__iff,axiom, % 153.71/153.49 ! [V_f_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( ( class_Rings_Ocomm__semiring__1(T_c) % 153.71/153.49 & class_Rings_Ono__zero__divisors(T_c) ) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) % 153.71/153.49 <=> ? [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.49 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__zero,axiom, % 153.71/153.49 ! [V_f_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Rings_Ocomm__semiring__1(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ? [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.49 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod_Oempty,axiom, % 153.71/153.49 ! [V_g_2,T_c,T_b] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_b) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__empty,axiom, % 153.71/153.49 ! [V_f_2,T_c,T_b] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_b) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod_Oinfinite,axiom, % 153.71/153.49 ! [V_g_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.49 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__infinite,axiom, % 153.71/153.49 ! [V_f_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.49 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__eq__1__iff,axiom, % 153.71/153.49 ! [V_f_2,V_F_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 153.71/153.49 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 153.71/153.49 <=> ! [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 153.71/153.49 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_restrict__map__empty,axiom, % 153.71/153.49 ! [V_x_2,V_D_2,T_b,T_c] : hAPP(c_Map_Orestrict__map(T_c,T_b,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b)),V_D_2),V_x_2) = c_Option_Ooption_ONone(T_b) ). % 153.71/153.49 % 153.71/153.49 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 153.71/153.49 ! [V_f_2,V_A_2,T_b] : % 153.71/153.49 ( ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.49 & class_Groups_Ocomm__monoid__mult(T_b) ) % 153.71/153.49 => ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod_Odistrib,axiom, % 153.71/153.49 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__dividef,axiom, % 153.71/153.49 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Fields_Ofield__inverse__zero(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_restrict__out,axiom, % 153.71/153.49 ! [V_m_2,T_c,V_A_2,V_x_2,T_b] : % 153.71/153.49 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Map_Orestrict__map(T_b,T_c,V_m_2,V_A_2),V_x_2) = c_Option_Ooption_ONone(T_c) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_dvd__setprod,axiom, % 153.71/153.49 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Rings_Ocomm__semiring__1(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(V_f_2,V_i_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__pos__nat__iff,axiom, % 153.71/153.49 ! [V_f_2,V_S_2,T_b] : % 153.71/153.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) % 153.71/153.49 <=> ! [B_x] : % 153.71/153.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__dvd__setprod__subset,axiom, % 153.71/153.49 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 153.71/153.49 ( ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.49 & class_Rings_Odvd(T_c) ) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_restrict__map__insert,axiom, % 153.71/153.49 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : c_Map_Orestrict__map(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_f_2,V_A_2)),V_a_2),hAPP(V_f_2,V_a_2)) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__delta,axiom, % 153.71/153.49 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.49 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__delta_H,axiom, % 153.71/153.49 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.49 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_restrict__map__def,axiom, % 153.71/153.49 ! [V_m_2,T_c,V_A_2,V_x_2,T_b] : % 153.71/153.49 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Map_Orestrict__map(T_b,T_c,V_m_2,V_A_2),V_x_2) = hAPP(V_m_2,V_x_2) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(c_Map_Orestrict__map(T_b,T_c,V_m_2,V_A_2),V_x_2) = c_Option_Ooption_ONone(T_c) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_restrict__map__to__empty,axiom, % 153.71/153.49 ! [V_x_2,V_m_2,T_b,T_c] : hAPP(c_Map_Orestrict__map(T_c,T_b,V_m_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_x_2) = c_Option_Ooption_ONone(T_b) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__constant,axiom, % 153.71/153.49 ! [V_y_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_COMBK(T_c,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_y_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod_Oinsert,axiom, % 153.71/153.49 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__insert,axiom, % 153.71/153.49 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ranI,axiom, % 153.71/153.49 ! [T_c,V_b_2,T_b,V_a_2,V_m_2] : % 153.71/153.49 ( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_b),V_b_2) % 153.71/153.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Map_Oran(T_c,T_b,V_m_2))) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod_Oinsert__remove,axiom, % 153.71/153.49 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__upd__restrict,axiom, % 153.71/153.49 ! [V_y_2,V_x_2,V_D_2,V_m_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_m_2,V_D_2)),V_x_2),V_y_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2),V_y_2) ). % 153.71/153.49 % 153.71/153.49 fof(fact_ran__empty,axiom, % 153.71/153.49 ! [T_b,T_c] : c_Map_Oran(T_c,T_b,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod_Oremove,axiom, % 153.71/153.49 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_setprod__diff1,axiom, % 153.71/153.49 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] : % 153.71/153.49 ( class_Fields_Ofield(T_c) % 153.71/153.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.49 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c) % 153.71/153.49 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 153.71/153.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ) ). % 153.71/153.49 % 153.71/153.49 fof(fact_fun__upd__restrict__conv,axiom, % 153.71/153.50 ! [V_y_2,V_m_2,T_c,V_D_2,V_x_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_D_2)) % 153.71/153.50 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_m_2,V_D_2)),V_x_2),V_y_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2),V_y_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_restrict__fun__upd,axiom, % 153.71/153.50 ! [V_y_2,V_m_2,T_c,V_D_2,V_x_2,T_b] : % 153.71/153.50 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_D_2)) % 153.71/153.50 => c_Map_Orestrict__map(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_m_2),V_x_2),V_y_2),V_D_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Orestrict__map(T_b,T_c,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2),V_y_2) ) % 153.71/153.50 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_D_2)) % 153.71/153.50 => c_Map_Orestrict__map(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_m_2),V_x_2),V_y_2),V_D_2) = c_Map_Orestrict__map(T_b,T_c,V_m_2,V_D_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_restrict__complement__singleton__eq,axiom, % 153.71/153.50 ! [V_x_2,V_f_2,T_c,T_b] : c_Map_Orestrict__map(T_b,T_c,V_f_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_f_2),V_x_2),c_Option_Ooption_ONone(T_c)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_restrict__upd__same,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_m_2,T_c,T_b] : c_Map_Orestrict__map(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_m_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_Map_Orestrict__map(T_b,T_c,V_m_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum__nonneg__leq__bound,axiom, % 153.71/153.50 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Oordered__ab__group__add(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 153.71/153.50 => ( ! [B_i] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 153.71/153.50 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2 % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum__nonneg__0,axiom, % 153.71/153.50 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Oordered__ab__group__add(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 153.71/153.50 => ( ! [B_i] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 153.71/153.50 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_c) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 153.71/153.50 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_pair__lessI2,axiom, % 153.71/153.50 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_pair__lessI1,axiom, % 153.71/153.50 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_pair__leqI2,axiom, % 153.71/153.50 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_smin__insertI,axiom, % 153.71/153.50 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__strict)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__strict)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_smax__insertI,axiom, % 153.71/153.50 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),V_Y_2)),c_FunDef_Omax__strict)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_X_2)),V_Y_2)),c_FunDef_Omax__strict)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_smax__emptyI,axiom, % 153.71/153.50 ! [V_Y_2] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 153.71/153.50 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_Y_2)),c_FunDef_Omax__strict)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_smin__emptyI,axiom, % 153.71/153.50 ! [V_X_2] : % 153.71/153.50 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__strict)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_pair__leqI1,axiom, % 153.71/153.50 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_wmax__insertI,axiom, % 153.71/153.50 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omax__weak)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)),V_YS_2)),c_FunDef_Omax__weak)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_wmin__insertI,axiom, % 153.71/153.50 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__weak)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__weak)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 153.71/153.50 ! [V_f_2,V_A_2,T_b] : % 153.71/153.50 ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.50 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_wmin__emptyI,axiom, % 153.71/153.50 ! [V_X_2] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__weak)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_wmax__emptyI,axiom, % 153.71/153.50 ! [V_X_2] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_X_2)),c_FunDef_Omax__weak)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_min__weak__def,axiom, % 153.71/153.50 c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_max__weak__def,axiom, % 153.71/153.50 c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_max__rpair__set,axiom, % 153.71/153.50 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omax__strict),c_FunDef_Omax__weak)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_max__strict__def,axiom, % 153.71/153.50 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 153.71/153.50 % 153.71/153.50 fof(fact_max__ext__additive,axiom, % 153.71/153.50 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_min__strict__def,axiom, % 153.71/153.50 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 153.71/153.50 % 153.71/153.50 fof(fact_min__rpair__set,axiom, % 153.71/153.50 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omin__strict),c_FunDef_Omin__weak)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_max__extp__max__ext__eq,axiom, % 153.71/153.50 ! [V_xa_2,V_x_2,V_R_2,T_b] : % 153.71/153.50 ( c_Wellfounded_Omax__extp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_R_2),V_x_2,V_xa_2) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_less__than__iff,axiom, % 153.71/153.50 ! [V_y_2,V_x_2] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Wellfounded_Oless__than)) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_intrel__iff,axiom, % 153.71/153.50 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2))),c_Int_Ointrel)) % 153.71/153.50 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_pair__less__def,axiom, % 153.71/153.50 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 153.71/153.50 % 153.71/153.50 fof(fact_mlex__prod__def,axiom, % 153.71/153.50 ! [V_R_2,V_f_2,T_b] : c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_b),T_b),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_b,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(tc_Nat_Onat,T_b)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_prod(tc_Nat_Onat,T_b)),T_b),c_Product__Type_OPair(tc_Nat_Onat,T_b)),V_f_2)),c_COMBI(T_b))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_rp__inv__image__rp,axiom, % 153.71/153.50 ! [V_f_2,T_c,V_Pa_2,T_b] : % 153.71/153.50 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 153.71/153.50 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 153.71/153.50 ! [V_N_2,V_h_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 153.71/153.50 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_rp__inv__image__def,axiom, % 153.71/153.50 ! [T_c,T_b] : c_FunDef_Orp__inv__image(T_b,T_c) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBS(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(T_c,T_b)),c_Product__Type_OPair(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),c_Relation_Oinv__image(T_b,T_c))))),c_Relation_Oinv__image(T_b,T_c))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_in__inv__image,axiom, % 153.71/153.50 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2))) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 153.71/153.50 ! [V_N_2,V_h_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 153.71/153.50 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Max_Ohom__commute,axiom, % 153.71/153.50 ! [V_N_2,V_h_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 153.71/153.50 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_measure__def,axiom, % 153.71/153.50 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ). % 153.71/153.50 % 153.71/153.50 fof(fact_irrefl__def,axiom, % 153.71/153.50 ! [V_r_2,T_b] : % 153.71/153.50 ( c_Relation_Oirrefl(T_b,V_r_2) % 153.71/153.50 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Field__insert,axiom, % 153.71/153.50 ! [V_r_2,V_b_2,V_a_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_b),V_r_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Id__on__def,axiom, % 153.71/153.50 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Id__on__def_H,axiom, % 153.71/153.50 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),c_fequal))),V_A_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Id__on__empty,axiom, % 153.71/153.50 ! [T_b] : c_Relation_OId__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Field__empty,axiom, % 153.71/153.50 ! [T_b] : hAPP(c_Relation_OField(T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_mono__Field,axiom, % 153.71/153.50 ! [V_s_2,V_r_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Field__Un,axiom, % 153.71/153.50 ! [V_s_2,V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_finite__Field,axiom, % 153.71/153.50 ! [V_r_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 153.71/153.50 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Id__on__eqI,axiom, % 153.71/153.50 ! [V_A_2,T_b,V_b_2,V_a_2] : % 153.71/153.50 ( V_a_2 = V_b_2 % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Id__on__iff,axiom, % 153.71/153.50 ! [V_A_2,V_y_2,V_x_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2))) % 153.71/153.50 <=> ( V_x_2 = V_y_2 % 153.71/153.50 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Id__onE,axiom, % 153.71/153.50 ! [V_A_2,V_c_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2))) % 153.71/153.50 => ~ ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.50 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Min_Ohom__commute,axiom, % 153.71/153.50 ! [V_N_2,V_h_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 153.71/153.50 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Sup__fin_Ohom__commute,axiom, % 153.71/153.50 ! [V_N_2,V_h_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 153.71/153.50 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setprod__mono__one__left,axiom, % 153.71/153.50 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 153.71/153.50 => ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 153.71/153.50 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setprod__mono__one__right,axiom, % 153.71/153.50 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 153.71/153.50 => ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 153.71/153.50 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum__mono__zero__left,axiom, % 153.71/153.50 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 153.71/153.50 => ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 153.71/153.50 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum__mono__zero__right,axiom, % 153.71/153.50 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 153.71/153.50 => ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 153.71/153.50 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_card__Pow,axiom, % 153.71/153.50 ! [V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_finite__empty__induct,axiom, % 153.71/153.50 ! [V_Pa_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(V_Pa_2,V_A_2)) % 153.71/153.50 => ( ! [B_a,B_A] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) % 153.71/153.50 => ( hBOOL(hAPP(V_Pa_2,B_A)) % 153.71/153.50 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) % 153.71/153.50 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_PowI,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Pow__insert,axiom, % 153.71/153.50 ! [V_A_2,V_a_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_b),V_a_2)),hAPP(c_Set_OPow(T_b),V_A_2))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Pow__empty,axiom, % 153.71/153.50 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Pow__bottom,axiom, % 153.71/153.50 ! [V_B_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Set_OPow(T_b),V_B_2))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Pow__not__empty,axiom, % 153.71/153.50 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Un__Pow__subset,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_PowD,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Pow__iff,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Pow__top,axiom, % 153.71/153.50 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_A_2))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Pow__UNIV,axiom, % 153.71/153.50 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Pow__mono,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_image__Pow__surj,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 153.71/153.50 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2 % 153.71/153.50 => hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2)) = hAPP(c_Set_OPow(T_b),V_B_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Cantors__paradox,axiom, % 153.71/153.50 ! [V_A_2,T_b] : % 153.71/153.50 ~ ? [B_f] : hAPP(c_Set_Oimage(T_b,tc_fun(T_b,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_b),V_A_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_finite__Pow__iff,axiom, % 153.71/153.50 ! [V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2))) % 153.71/153.50 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_UN__Pow__subset,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_image__Pow__mono,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2))),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Powp__Pow__eq,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2)) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__one__idem_Ounion__idem,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_finite__subset__induct,axiom, % 153.71/153.50 ! [V_Pa_2,V_A_2,V_F_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.50 => ( ! [B_a,B_F] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 153.71/153.50 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F)) % 153.71/153.50 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 153.71/153.50 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) ) % 153.71/153.50 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__one__idem_Oidem,axiom, % 153.71/153.50 ! [V_x_2,V_F_2,V_f_2,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 153.71/153.50 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Powp__mono,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_b,V_A_2)),c_Predicate_OPowp(T_b,V_B_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__one__idem_Oin__idem,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__one__idem_Osubset__idem,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.50 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum__strict__mono,axiom, % 153.71/153.50 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.50 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) ) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2))) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_equiv__intrel__iff,axiom, % 153.71/153.50 ! [V_y_2,V_x_2] : % 153.71/153.50 ( hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))) = hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_Int_Ointrel)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum__Plus,axiom, % 153.71/153.50 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__add(T_d) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_sum(T_b,T_c),T_d),V_f_2),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(tc_sum(T_b,T_c),T_d,T_b,V_f_2),c_Sum__Type_OInl(T_b,T_c))),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(c_Fun_Ocomp(tc_sum(T_b,T_c),T_d,T_c,V_f_2),c_Sum__Type_OInr(T_c,T_b))),V_B_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Image__empty,axiom, % 153.71/153.50 ! [V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Image__Un,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Image__UN,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_d,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_image__compose,axiom, % 153.71/153.50 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_b,T_c,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),V_r_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_o__def,axiom, % 153.71/153.50 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_o__eq__elim,axiom, % 153.71/153.50 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 153.71/153.50 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2) % 153.71/153.50 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_o__eq__dest,axiom, % 153.71/153.50 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 153.71/153.50 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2) % 153.71/153.50 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_o__apply,axiom, % 153.71/153.50 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_o__assoc,axiom, % 153.71/153.50 ! [V_h_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(c_Fun_Ocomp(T_e,T_d,T_b,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_h_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_apsnd__compose,axiom, % 153.71/153.50 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_x_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_apfst__compose,axiom, % 153.71/153.50 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_e,V_f_2),V_g_2)),V_x_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_comp__cong,axiom, % 153.71/153.50 ! [T_f,T_e,T_d,T_b,T_c,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] : % 153.71/153.50 ( hAPP(V_f_2,hAPP(V_g_2,V_x_2)) = hAPP(V_f_H_2,hAPP(V_g_H_2,V_x_H_2)) % 153.71/153.50 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_b,T_f,V_f_H_2),V_g_H_2),V_x_H_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom, % 153.71/153.50 ! [V_x_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 153.71/153.50 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_K__record__comp,axiom, % 153.71/153.50 ! [V_x_2,V_f_2,V_c_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_f_2),V_x_2) = V_c_2 ). % 153.71/153.50 % 153.71/153.50 fof(fact_o__eq__dest__lhs,axiom, % 153.71/153.50 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 153.71/153.50 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2 % 153.71/153.50 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_fun__upd__comp,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_d),V_g_2),V_x_2),V_y_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)),V_x_2),hAPP(V_f_2,V_y_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_comp__surj,axiom, % 153.71/153.50 ! [V_g_2,T_d,V_f_2,T_b,T_c] : % 153.71/153.50 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hAPP(c_Set_Oimage(T_b,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) % 153.71/153.50 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Image__mono,axiom, % 153.71/153.50 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Un__Image,axiom, % 153.71/153.50 ! [V_A_2,V_S_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_S_2),V_A_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_rev__ImageI,axiom, % 153.71/153.50 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Image__iff,axiom, % 153.71/153.50 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 153.71/153.50 <=> ? [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 153.71/153.50 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Image__eq__UN,axiom, % 153.71/153.50 ! [V_B_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Relation_OImage(T_c,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Image__singleton__iff,axiom, % 153.71/153.50 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_of__int,axiom, % 153.71/153.50 ! [V_j_2,V_i_2,T_b] : % 153.71/153.50 ( class_Rings_Oring__1(T_b) % 153.71/153.50 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_j_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_One__int__def,axiom, % 153.71/153.50 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_mult,axiom, % 153.71/153.50 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_v_2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_u_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_UN__o,axiom, % 153.71/153.50 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Rep__Integ__inverse,axiom, % 153.71/153.50 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 153.71/153.50 % 153.71/153.50 fof(fact_split__comp,axiom, % 153.71/153.50 ! [V_x_2,V_g_2,V_f_2,T_e,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_d,T_b),T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_number__of__code__numeral__def,axiom, % 153.71/153.50 c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Code__Numeral_Ocode__numeral,tc_Int_Oint,c_Code__Numeral_Oof__nat),c_Int_Onat) ). % 153.71/153.50 % 153.71/153.50 fof(fact_int__of__def,axiom, % 153.71/153.50 c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Int_Oint,tc_Code__Numeral_Ocode__numeral,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Code__Numeral_Onat__of) ). % 153.71/153.50 % 153.71/153.50 fof(fact_minus,axiom, % 153.71/153.50 ! [V_y_2,V_x_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_y_2),V_x_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Zero__int__def,axiom, % 153.71/153.50 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_int__def,axiom, % 153.71/153.50 ! [V_m_2] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_add,axiom, % 153.71/153.50 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y_2),V_v_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_nat,axiom, % 153.71/153.50 ! [V_y_2,V_x_2] : hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_minus__int__def,axiom, % 153.71/153.50 ! [V_z_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_2) = hAPP(c_Int_OAbs__Integ,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_Nat_Onat),c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)))),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat))))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_less,axiom, % 153.71/153.50 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))))) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_le,axiom, % 153.71/153.50 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))))) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Nitpick_Odenom__def,axiom, % 153.71/153.50 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Nitpick_Onum__def,axiom, % 153.71/153.50 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding_Oremove,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 153.71/153.50 ! [V_h_2,V_g_2,T_g,V_f_2,T_d,T_e,T_f,V_F_2,V_fa_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2) % 153.71/153.50 => hAPP(c_Fun_Ocomp(T_f,T_e,T_d,V_f_2),hAPP(c_Fun_Ocomp(T_g,T_f,T_d,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_g,T_e,T_d,hAPP(c_Fun_Ocomp(T_f,T_e,T_g,V_f_2),V_g_2)),V_h_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding_Ocommute__comp,axiom, % 153.71/153.50 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding_Ocommute__left__comp,axiom, % 153.71/153.50 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),V_g_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 153.71/153.50 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding_Ocommute__comp_H_H,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding_Ocommute__left__comp_H,axiom, % 153.71/153.50 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding_Ocommute__comp_H,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding_Oinsert,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding_Oinsert__remove,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_eq__Abs__Integ,axiom, % 153.71/153.50 ! [V_z_2] : % 153.71/153.50 ~ ! [B_x,B_y] : V_z_2 != hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum__reindex__nonzero,axiom, % 153.71/153.50 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__add(T_d) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.50 => ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 153.71/153.50 => ! [B_y] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2)) % 153.71/153.50 => ( B_x != B_y % 153.71/153.50 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 153.71/153.50 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_S_2) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Random__Sequence_Omap__def,axiom, % 153.71/153.50 ! [V_Pa_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_Pa_2) = c_Random__Sequence_Obind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_quotient__def,axiom, % 153.71/153.50 ! [V_r_2,V_A_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__idem_Ounion__idem,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.50 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_quotient__is__empty,axiom, % 153.71/153.50 ! [V_r_2,V_A_2,T_b] : % 153.71/153.50 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 153.71/153.50 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_quotient__is__empty2,axiom, % 153.71/153.50 ! [V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) % 153.71/153.50 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_quotient__empty,axiom, % 153.71/153.50 ! [V_r_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__idem_Oidem__left__comp,axiom, % 153.71/153.50 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__idem_Oidem__comp,axiom, % 153.71/153.50 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_quotientI,axiom, % 153.71/153.50 ! [V_r_2,V_A_2,V_x_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_singleton__quotient,axiom, % 153.71/153.50 ! [V_r_2,V_x_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__idem_Oin__comp__idem,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__idem_Oinsert__idem,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_subset__equiv__class,axiom, % 153.71/153.50 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_quotientE,axiom, % 153.71/153.50 ! [V_r_2,V_A_2,V_X_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 153.71/153.50 => ~ ! [B_x] : % 153.71/153.50 ( V_X_2 = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.50 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_eq__equiv__class__iff2,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_equiv__intrel,axiom, % 153.71/153.50 c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Int_Ointrel) ). % 153.71/153.50 % 153.71/153.50 fof(fact_equiv__class__self,axiom, % 153.71/153.50 ! [V_a_2,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_equiv__class__eq,axiom, % 153.71/153.50 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 153.71/153.50 => hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_quotient__eq__iff,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 153.71/153.50 => ( V_X_2 = V_Y_2 % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_quotient__eqI,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 153.71/153.50 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_eq__equiv__class,axiom, % 153.71/153.50 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] : % 153.71/153.50 ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.50 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_eq__equiv__class__iff,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 153.71/153.50 => ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_equiv__class__eq__iff,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 153.71/153.50 <=> ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.50 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_equiv__class__subset,axiom, % 153.71/153.50 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_UN__equiv__class,axiom, % 153.71/153.50 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.50 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_UN__equiv__class2,axiom, % 153.71/153.50 ! [V_a2_2,V_a1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 153.71/153.50 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 153.71/153.50 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2)) % 153.71/153.50 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_equiv__class__nondisjoint,axiom, % 153.71/153.50 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf1E,axiom, % 153.71/153.50 ! [V_x_2,V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 153.71/153.50 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 153.71/153.50 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf1I,axiom, % 153.71/153.50 ! [T_b,V_B_2,V_x_2,V_A_2] : % 153.71/153.50 ( hBOOL(hAPP(V_A_2,V_x_2)) % 153.71/153.50 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_IntE,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_c_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.50 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.50 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_IntI,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_c_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_finite__Int,axiom, % 153.71/153.50 ! [V_G_2,V_F_2,T_b] : % 153.71/153.50 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 153.71/153.50 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) % 153.71/153.50 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_le__infE,axiom, % 153.71/153.50 ! [V_b,V_a,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))) % 153.71/153.50 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 153.71/153.50 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__mono,axiom, % 153.71/153.50 ! [V_d,V_b,V_c,V_a,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_c),V_d))) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__greatest,axiom, % 153.71/153.50 ! [V_z,V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_le__infI,axiom, % 153.71/153.50 ! [V_b,V_a,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__absorb2,axiom, % 153.71/153.50 ! [V_x,V_y,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__absorb1,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_le__infI2,axiom, % 153.71/153.50 ! [V_a,V_x,V_b,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_le__infI1,axiom, % 153.71/153.50 ! [V_b,V_x,V_a,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_le__inf__iff,axiom, % 153.71/153.50 ! [V_z_2,V_y_2,V_x_2,T_b] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_b) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_y_2),V_z_2))) % 153.71/153.50 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.71/153.50 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_le__iff__inf,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,T_b] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_b) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.71/153.50 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__le2,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_y)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__sup__ord_I2_J,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Olattice(T_a) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_y)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__le1,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_x)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__sup__ord_I1_J,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Olattice(T_a) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_x)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__lower1,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__lower2,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__absorb2,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__absorb1,axiom, % 153.71/153.50 ! [V_A_2,V_B_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__greatest,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_C_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__mono,axiom, % 153.71/153.50 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__top__left,axiom, % 153.71/153.50 ! [V_x,T_a] : % 153.71/153.50 ( class_Lattices_Obounded__lattice__top(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__top__right,axiom, % 153.71/153.50 ! [V_x,T_a] : % 153.71/153.50 ( class_Lattices_Obounded__lattice__top(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__eq__top__iff,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,T_b] : % 153.71/153.50 ( class_Lattices_Obounded__lattice__top(T_b) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b) % 153.71/153.50 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b) % 153.71/153.50 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__UNIV__left,axiom, % 153.71/153.50 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__UNIV__right,axiom, % 153.71/153.50 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__Int__eq,axiom, % 153.71/153.50 ! [V_x_2,V_S_2,V_R_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2)) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_IntD2,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_c_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_IntD1,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_c_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__iff,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_c_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.50 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.50 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__sup__absorb,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Olattice(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = V_x ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_sup__inf__absorb,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Olattice(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = V_x ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__sup__distrib1,axiom, % 153.71/153.50 ! [V_z,V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Odistrib__lattice(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_sup__inf__distrib1,axiom, % 153.71/153.50 ! [V_z,V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Odistrib__lattice(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__sup__distrib2,axiom, % 153.71/153.50 ! [V_x,V_z,V_y,T_a] : % 153.71/153.50 ( class_Lattices_Odistrib__lattice(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_z),V_x)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_sup__inf__distrib2,axiom, % 153.71/153.50 ! [V_x,V_z,V_y,T_a] : % 153.71/153.50 ( class_Lattices_Odistrib__lattice(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_z),V_x)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__Un__distrib,axiom, % 153.71/153.50 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Un__Int__distrib,axiom, % 153.71/153.50 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__Un__distrib2,axiom, % 153.71/153.50 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Un__Int__distrib2,axiom, % 153.71/153.50 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Un__Int__crazy,axiom, % 153.71/153.50 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_disjoint__iff__not__equal,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 <=> ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.50 => ! [B_xa] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2)) % 153.71/153.50 => B_x != B_xa ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__empty__right,axiom, % 153.71/153.50 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__empty__left,axiom, % 153.71/153.50 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__bot__right,axiom, % 153.71/153.50 ! [V_x,T_a] : % 153.71/153.50 ( class_Lattices_Obounded__lattice__bot(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__bot__left,axiom, % 153.71/153.50 ! [V_x,T_a] : % 153.71/153.50 ( class_Lattices_Obounded__lattice__bot(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_insert__inter__insert,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_restrict__restrict,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_m_2,T_c,T_b] : c_Map_Orestrict__map(T_b,T_c,c_Map_Orestrict__map(T_b,T_c,V_m_2,V_A_2),V_B_2) = c_Map_Orestrict__map(T_b,T_c,V_m_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Diff__Int__distrib,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_C_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__Diff,axiom, % 153.71/153.50 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Diff__Int__distrib2,axiom, % 153.71/153.50 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Diff__Int2,axiom, % 153.71/153.50 ! [V_B_2,V_C_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 153.71/153.50 ! [V_B_2,V_A_2] : % 153.71/153.50 ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.50 => ( c_Nat__Transfer_Onat__set(V_B_2) % 153.71/153.50 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf1D2,axiom, % 153.71/153.50 ! [V_x_2,V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 153.71/153.50 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf1D1,axiom, % 153.71/153.50 ! [V_x_2,V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 153.71/153.50 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__min,axiom, % 153.71/153.50 ! [T_b] : % 153.71/153.50 ( ( class_Lattices_Osemilattice__inf(T_b) % 153.71/153.50 & class_Orderings_Olinorder(T_b) ) % 153.71/153.50 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__assoc,axiom, % 153.71/153.50 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__left__commute,axiom, % 153.71/153.50 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__left__absorb,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__commute,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__absorb,axiom, % 153.71/153.50 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__apply,axiom, % 153.71/153.50 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__assoc,axiom, % 153.71/153.50 ! [V_z,V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__sup__aci_I2_J,axiom, % 153.71/153.50 ! [V_z,V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Olattice(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf_Oassoc,axiom, % 153.71/153.50 ! [V_c,V_b,V_a,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__left__commute,axiom, % 153.71/153.50 ! [V_z,V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__sup__aci_I3_J,axiom, % 153.71/153.50 ! [V_z,V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Olattice(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf_Oleft__commute,axiom, % 153.71/153.50 ! [V_c,V_a,V_b,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__left__idem,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__sup__aci_I4_J,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Olattice(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf_Oleft__idem,axiom, % 153.71/153.50 ! [V_b,V_a,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__commute,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__sup__aci_I1_J,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Olattice(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf_Ocommute,axiom, % 153.71/153.50 ! [V_b,V_a,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_a) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__idem,axiom, % 153.71/153.50 ! [V_x,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf_Oidem,axiom, % 153.71/153.50 ! [V_a,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__fun__def,axiom, % 153.71/153.50 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Inf__fin_Oidem,axiom, % 153.71/153.50 ! [V_x,T_a] : % 153.71/153.50 ( class_Lattices_Olattice(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_less__infI1,axiom, % 153.71/153.50 ! [V_b,V_x,V_a,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_less__infI2,axiom, % 153.71/153.50 ! [V_a,V_x,V_b,T_a] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_a) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_fun__left__comm__idem__inf,axiom, % 153.71/153.50 ! [T_b] : % 153.71/153.50 ( class_Lattices_Osemilattice__inf(T_b) % 153.71/153.50 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Pow__Int__eq,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__UN__distrib2,axiom, % 153.71/153.50 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_UN__extend__simps_I4_J,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__UN__distrib,axiom, % 153.71/153.50 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_UN__extend__simps_I5_J,axiom, % 153.71/153.50 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_UN__simps_I4_J,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_UN__simps_I5_J,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_distrib__sup__le,axiom, % 153.71/153.50 ! [V_z,V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Olattice(T_a) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_distrib__inf__le,axiom, % 153.71/153.50 ! [V_z,V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Olattice(T_a) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_compl__inf__bot,axiom, % 153.71/153.50 ! [V_x,T_a] : % 153.71/153.50 ( class_Lattices_Oboolean__algebra(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__compl__bot,axiom, % 153.71/153.50 ! [V_x,T_a] : % 153.71/153.50 ( class_Lattices_Oboolean__algebra(T_a) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_diff__eq,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Oboolean__algebra(T_a) % 153.71/153.50 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_compl__sup,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Oboolean__algebra(T_a) % 153.71/153.50 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_compl__inf,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Oboolean__algebra(T_a) % 153.71/153.50 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__insert__left__if1,axiom, % 153.71/153.50 ! [V_B_2,V_C_2,V_a_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__insert__right__if1,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_a_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__insert__left__if0,axiom, % 153.71/153.50 ! [V_B_2,V_C_2,V_a_2,T_b] : % 153.71/153.50 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__insert__right__if0,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_a_2,T_b] : % 153.71/153.50 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__insert__left,axiom, % 153.71/153.50 ! [V_B_2,V_C_2,V_a_2,T_b] : % 153.71/153.50 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) % 153.71/153.50 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__insert__right,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_a_2,T_b] : % 153.71/153.50 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 153.71/153.50 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_image__Int__subset,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Diff__triv,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Diff__disjoint,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Un__Int__assoc__eq,axiom, % 153.71/153.50 ! [V_C_2,V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Un__Diff__Int,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ). % 153.71/153.50 % 153.71/153.50 fof(fact_Diff__Un,axiom, % 153.71/153.50 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Diff__Int,axiom, % 153.71/153.50 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I11_J,axiom, % 153.71/153.50 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 153.71/153.50 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Compl__disjoint2,axiom, % 153.71/153.50 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Compl__disjoint,axiom, % 153.71/153.50 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Image__Int__subset,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Compl__Un,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Compl__Int,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Diff__Compl,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Diff__eq,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I14_J,axiom, % 153.71/153.50 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Image__Id__on,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 153.71/153.50 ! [V_B_2,V_A_2] : % 153.71/153.50 ( c_Nat__Transfer_Onat__set(V_A_2) % 153.71/153.50 => ( c_Nat__Transfer_Onat__set(V_B_2) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_congruent2__implies__congruent,axiom, % 153.71/153.50 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2) % 153.71/153.50 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.50 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__Sup__absorb,axiom, % 153.71/153.50 ! [V_a_2,V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = V_a_2 ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_disjoint__eq__subset__Compl,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I15_J,axiom, % 153.71/153.50 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__atLeastAtMost,axiom, % 153.71/153.50 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__atLeastLessThan,axiom, % 153.71/153.50 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I4_J,axiom, % 153.71/153.50 ! [V_u_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I2_J,axiom, % 153.71/153.50 ! [V_u_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I16_J,axiom, % 153.71/153.50 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I13_J,axiom, % 153.71/153.50 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I12_J,axiom, % 153.71/153.50 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__greaterThanAtMost,axiom, % 153.71/153.50 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I9_J,axiom, % 153.71/153.50 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__greaterThanLessThan,axiom, % 153.71/153.50 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__atLeastAtMostR1,axiom, % 153.71/153.50 ! [V_d_2,V_c_2,V_b_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__atLeastAtMostL1,axiom, % 153.71/153.50 ! [V_d_2,V_b_2,V_a_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I8_J,axiom, % 153.71/153.50 ! [V_u_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I7_J,axiom, % 153.71/153.50 ! [V_u_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__atLeastAtMostR2,axiom, % 153.71/153.50 ! [V_d_2,V_c_2,V_a_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_d_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Int__atLeastAtMostL2,axiom, % 153.71/153.50 ! [V_c_2,V_b_2,V_a_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_c_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_b_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I3_J,axiom, % 153.71/153.50 ! [V_u_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I10_J,axiom, % 153.71/153.50 ! [V_u_2,V_m_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I1_J,axiom, % 153.71/153.50 ! [V_u_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I6_J,axiom, % 153.71/153.50 ! [V_u_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_ivl__disj__int_I5_J,axiom, % 153.71/153.50 ! [V_u_2,V_l_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__image__simple_Ounion__inter,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 153.71/153.50 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_compl__unique,axiom, % 153.71/153.50 ! [V_y,V_x,T_a] : % 153.71/153.50 ( class_Lattices_Oboolean__algebra(T_a) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 153.71/153.50 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum__Un__Int,axiom, % 153.71/153.50 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setprod_Ounion__inter,axiom, % 153.71/153.50 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setprod__Un__Int,axiom, % 153.71/153.50 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_card_Ounion__inter,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_card__Un__Int,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_card__Diff__subset__Int,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.50 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum__restrict__set,axiom, % 153.71/153.50 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding_Ounion__inter,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_quotient__disj,axiom, % 153.71/153.50 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 153.71/153.50 => ( V_X_2 = V_Y_2 % 153.71/153.50 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_atMost__Int__atLeast,axiom, % 153.71/153.50 ! [V_na_2,T_b] : % 153.71/153.50 ( class_Orderings_Oorder(T_b) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_na_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_na_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_na_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 153.71/153.50 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__one_Ounion__inter,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__one_Ounion__disjoint,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum__Un__disjoint,axiom, % 153.71/153.50 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum__Un,axiom, % 153.71/153.50 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Oab__group__add(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setprod__Un__disjoint,axiom, % 153.71/153.50 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setprod_Ounion__disjoint,axiom, % 153.71/153.50 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_card__Un__disjoint,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Sup__fin_Ounion__inter,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Min_Ounion__disjoint,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Min_Ounion__inter,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Max_Ounion__inter,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Max_Ounion__disjoint,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( class_Orderings_Olinorder(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_congruent2D,axiom, % 153.71/153.50 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_d,T_c,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y1_2),V_z1_2)),V_r1_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y2_2),V_z2_2)),V_r2_2)) % 153.71/153.50 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum__Un__nat,axiom, % 153.71/153.50 ! [V_f_2,V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding_Ounion,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_congruentD,axiom, % 153.71/153.50 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_r_2)) % 153.71/153.50 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_congruent2__implies__congruent__UN,axiom, % 153.71/153.50 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 153.71/153.50 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 153.71/153.50 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2)) % 153.71/153.50 => c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_d,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_UN__equiv__class__inject,axiom, % 153.71/153.50 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 153.71/153.50 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_Y_2),V_f_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 153.71/153.50 => ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.50 => ! [B_y] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 153.71/153.50 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) ) % 153.71/153.50 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_UN__equiv__class__type2,axiom, % 153.71/153.50 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 153.71/153.50 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 153.71/153.50 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A1_2),V_r1_2))) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A2_2),V_r2_2))) % 153.71/153.50 => ( ! [B_x1] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2)) % 153.71/153.50 => ! [B_x2] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_UN__equiv__class__type,axiom, % 153.71/153.50 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 153.71/153.50 => ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__nat__def,axiom, % 153.71/153.50 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf__Int__eq2,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2)) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_card_Ounion__inter__neutral,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.50 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.71/153.50 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setprod__Un,axiom, % 153.71/153.50 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Fields_Ofield(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.50 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) ) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Integ__def,axiom, % 153.71/153.50 c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Int_Ointrel) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf2E,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 153.71/153.50 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 153.71/153.50 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf2I,axiom, % 153.71/153.50 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf2D2,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inf2D1,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Rep__Integ,axiom, % 153.71/153.50 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_x_2)),c_Int_OInteg)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_type__definition__Integ,axiom, % 153.71/153.50 c_Typedef_Otype__definition(tc_Int_Oint,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Int_ORep__Integ,c_Int_OAbs__Integ,c_Int_OInteg) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setprod_Ounion__inter__neutral,axiom, % 153.71/153.50 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.50 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setprod__Un__one,axiom, % 153.71/153.50 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 153.71/153.50 => ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))) % 153.71/153.50 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum_Ounion__inter__neutral,axiom, % 153.71/153.50 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.50 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum__Un__zero,axiom, % 153.71/153.50 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 153.71/153.50 => ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))) % 153.71/153.50 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Inf__fin_Oremove,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 ) % 153.71/153.50 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_equiv__imp__dvd__card,axiom, % 153.71/153.50 ! [V_k_2,V_r_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.50 => ( ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),B_x))) ) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Inf__fin_Osingleton,axiom, % 153.71/153.50 ! [V_x_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_sup__Inf__absorb,axiom, % 153.71/153.50 ! [V_a_2,V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = V_a_2 ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Inf__fin_Oin__idem,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Inf__fin_Oinsert__idem,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Inf__fin_Osubset__idem,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Inf__fin_Ounion__idem,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Inf__le__Sup,axiom, % 153.71/153.50 ! [V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2))) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Inf__fin_Oinsert,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Inf__fin_Oinsert__remove,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 153.71/153.50 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Inf__fin_Ounion__inter,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Inf__fin_Oclosed,axiom, % 153.71/153.50 ! [V_A_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_equivp__equiv,axiom, % 153.71/153.50 ! [V_A_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 153.71/153.50 <=> c_Equiv__Relations_Oequivp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_A_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_card__quotient__disjoint,axiom, % 153.71/153.50 ! [V_r_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2) % 153.71/153.50 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__empty,axiom, % 153.71/153.50 ! [V_f_2,T_c,T_b] : c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__uminus,axiom, % 153.71/153.50 ! [V_A_2,T_b] : % 153.71/153.50 ( class_Groups_Oordered__ab__group__add(T_b) % 153.71/153.50 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__Int,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 153.71/153.50 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__fun,axiom, % 153.71/153.50 ! [T_d,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => c_Fun_Oinj__on(T_b,tc_fun(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_c),T_b),c_COMBK(T_c,T_d)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_injD,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 153.71/153.50 => V_x_2 = V_y_2 ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__eq,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 153.71/153.50 <=> V_x_2 = V_y_2 ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_identity__equivp,axiom, % 153.71/153.50 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ). % 153.71/153.50 % 153.71/153.50 fof(fact_equivp__def,axiom, % 153.71/153.50 ! [V_R_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 153.71/153.50 <=> ! [B_x,B_y] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 153.71/153.50 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_equivp__reflp,axiom, % 153.71/153.50 ! [V_x_2,V_R_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 153.71/153.50 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_equivp__symp,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_R_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_equivp__transp,axiom, % 153.71/153.50 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 153.71/153.50 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__def,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 <=> ! [B_x] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.50 => ! [B_xa] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 153.71/153.50 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 153.71/153.50 => B_x = B_xa ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__id2,axiom, % 153.71/153.50 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__diff,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_subset__inj__on,axiom, % 153.71/153.50 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.50 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__imageI2,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_H_2),V_f_2),V_A_2) % 153.71/153.50 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_finite__imageD,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 153.71/153.50 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) % 153.71/153.50 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_card__image,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_comp__inj__on__iff,axiom, % 153.71/153.50 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => ( c_Fun_Oinj__on(T_c,T_d,V_f_H_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) % 153.71/153.50 <=> c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_comp__inj__on,axiom, % 153.71/153.50 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) % 153.71/153.50 => c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__imageI,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2),V_A_2) % 153.71/153.50 => c_Fun_Oinj__on(T_d,T_c,V_g_2,hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_A_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__comp,axiom, % 153.71/153.50 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 153.71/153.50 => c_Fun_Oinj__on(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__Un__image__eq__iff,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.50 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) % 153.71/153.50 <=> V_A_2 = V_B_2 ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__image__eq__iff,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) % 153.71/153.50 <=> V_A_2 = V_B_2 ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__onD,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 153.71/153.50 => V_x_2 = V_y_2 ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__iff,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 153.71/153.50 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 153.71/153.50 <=> V_x_2 = V_y_2 ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__contraD,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => ( V_x_2 != V_y_2 % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 153.71/153.50 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__strict__subset,axiom, % 153.71/153.50 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__image__mem__iff,axiom, % 153.71/153.50 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_range__ex1__eq,axiom, % 153.71/153.50 ! [V_b_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 153.71/153.50 <=> ? [B_x] : % 153.71/153.50 ( V_b_2 = hAPP(V_f_2,B_x) % 153.71/153.50 & ! [B_y] : % 153.71/153.50 ( V_b_2 = hAPP(V_f_2,B_y) % 153.71/153.50 => B_y = B_x ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__iff__surj,axiom, % 153.71/153.50 ! [V_A_H_2,T_c,T_b,V_A_2] : % 153.71/153.50 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( ? [B_f] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 153.71/153.50 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) ) % 153.71/153.50 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_endo__inj__surj,axiom, % 153.71/153.50 ! [V_f_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)),V_A_2)) % 153.71/153.50 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) % 153.71/153.50 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_finite__surj__inj,axiom, % 153.71/153.50 ! [V_f_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2))) % 153.71/153.50 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_finite__UNIV__inj__surj,axiom, % 153.71/153.50 ! [V_f_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.50 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_finite__UNIV__surj__inj,axiom, % 153.71/153.50 ! [V_f_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.50 => ( hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__image__subset__iff,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__image__Int,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 153.71/153.50 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_image__Int,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_eq__card__imp__inj__on,axiom, % 153.71/153.50 ! [V_f_2,T_c,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) % 153.71/153.50 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__iff__eq__card,axiom, % 153.71/153.50 ! [V_f_2,T_c,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 <=> hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__image__set__diff,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 153.71/153.50 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_image__set__diff,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum__reindex,axiom, % 153.71/153.50 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__add(T_d) % 153.71/153.50 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_pigeonhole,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))) % 153.71/153.50 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__fun__updI,axiom, % 153.71/153.50 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 153.71/153.50 => c_Fun_Oinj__on(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_x_2),V_y_2),V_A_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setprod__reindex__cong,axiom, % 153.71/153.50 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__mult(T_d) % 153.71/153.50 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 153.71/153.50 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setprod__reindex,axiom, % 153.71/153.50 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__mult(T_d) % 153.71/153.50 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__singleton,axiom, % 153.71/153.50 ! [T_b] : c_Fun_Oinj__on(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum_Oreindex,axiom, % 153.71/153.50 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_card__bij__eq,axiom, % 153.71/153.50 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) % 153.71/153.50 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 153.71/153.50 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setprod_Oreindex,axiom, % 153.71/153.50 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__image__Compl__subset,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__insert,axiom, % 153.71/153.50 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) % 153.71/153.50 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__Un,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.50 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 153.71/153.50 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_card__inj__on__le,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__iff__card__le,axiom, % 153.71/153.50 ! [V_B_2,T_c,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 153.71/153.50 => ( ? [B_f] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 153.71/153.50 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_B_2)) ) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_quotient__diff1,axiom, % 153.71/153.50 ! [V_a_2,V_A_2,V_r_2,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.50 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__image_Oreindex,axiom, % 153.71/153.50 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.50 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2) % 153.71/153.50 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_c,T_b,T_c,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_the__inv__into__comp,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)) % 153.71/153.50 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)))) % 153.71/153.50 => hAPP(c_Fun_Othe__inv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Fun_Othe__inv__into(T_d,T_b,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_the__inv__into__into,axiom, % 153.71/153.50 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__add__nat,axiom, % 153.71/153.50 ! [V_N_2,V_k_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2),V_N_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__Inr,axiom, % 153.71/153.50 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(T_b,tc_sum(T_c,T_b),c_Sum__Type_OInr(T_b,T_c),V_A_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__Some,axiom, % 153.71/153.50 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,tc_Option_Ooption(T_b),c_Option_Ooption_OSome(T_b),V_A_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__Suc,axiom, % 153.71/153.50 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__Inl,axiom, % 153.71/153.50 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(T_b,tc_sum(T_b,T_c),c_Sum__Type_OInl(T_b,T_c),V_A_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__of__nat,axiom, % 153.71/153.50 ! [T_b] : % 153.71/153.50 ( class_Nat_Osemiring__char__0(T_b) % 153.71/153.50 => c_Fun_Oinj__on(tc_Nat_Onat,T_b,c_Nat_Osemiring__1__class_Oof__nat(T_b),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__int,axiom, % 153.71/153.50 c_Fun_Oinj__on(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_swap__inj__on,axiom, % 153.71/153.50 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(tc_prod(T_b,T_c),tc_prod(T_c,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_c,T_b)),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))),V_A_2) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__image_Odistrib,axiom, % 153.71/153.50 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.50 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(V_f_2,hAPP(hAPP(V_F_2,V_g_2),V_A_2)),hAPP(hAPP(V_F_2,V_h_2),V_A_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_the__inv__into__f__f,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_the__inv__into__f__eq,axiom, % 153.71/153.50 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.50 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_the__inv__f__f,axiom, % 153.71/153.50 ! [V_x_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__on__the__inv__into,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => c_Fun_Oinj__on(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_the__inv__into__onto,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => hAPP(c_Set_Oimage(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_the__inv__into__def,axiom, % 153.71/153.50 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_f__the__inv__into__f,axiom, % 153.71/153.50 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 153.71/153.50 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_fold__Un__disjoint,axiom, % 153.71/153.50 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__vimage__singleton,axiom, % 153.71/153.50 ! [V_a_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_Inf__fin_Ohom__commute,axiom, % 153.71/153.50 ! [V_N_2,V_h_2,T_b] : % 153.71/153.50 ( class_Lattices_Olattice(T_b) % 153.71/153.50 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 153.71/153.50 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimageI,axiom, % 153.71/153.50 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] : % 153.71/153.50 ( hAPP(V_f_2,V_a_2) = V_b_2 % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__Diff,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_image__vimage__subset,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))),V_A_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__Int,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__UNIV,axiom, % 153.71/153.50 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__UN,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__code,axiom, % 153.71/153.50 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2)) % 153.71/153.50 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__Compl,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__ident,axiom, % 153.71/153.50 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 153.71/153.50 % 153.71/153.50 fof(fact_fold__image__empty,axiom, % 153.71/153.50 ! [V_z_2,V_g_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__empty,axiom, % 153.71/153.50 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__Un,axiom, % 153.71/153.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__mono,axiom, % 153.71/153.50 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__compose,axiom, % 153.71/153.50 ! [V_x_2,V_f_2,V_g_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_b,T_d,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_g_2),V_x_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimageI2,axiom, % 153.71/153.50 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimageD,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2))) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__eq,axiom, % 153.71/153.50 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2))) % 153.71/153.50 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_surj__image__vimage__eq,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,T_b,T_c] : % 153.71/153.50 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = V_A_2 ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 153.71/153.50 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.50 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_folding__image_Oeq__fold,axiom, % 153.71/153.50 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.50 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__singleton__eq,axiom, % 153.71/153.50 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) % 153.71/153.50 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__insert,axiom, % 153.71/153.50 ! [V_B_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 153.71/153.50 % 153.71/153.50 fof(fact_finite__vimageD,axiom, % 153.71/153.50 ! [V_F_2,V_h_2,T_c,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 153.71/153.50 => ( hAPP(c_Set_Oimage(T_b,T_c,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) % 153.71/153.50 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__subsetD,axiom, % 153.71/153.50 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] : % 153.71/153.50 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2)),V_A_2)) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_image__vimage__eq,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_finite__vimageI,axiom, % 153.71/153.50 ! [V_h_2,T_c,V_F_2,T_b] : % 153.71/153.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 153.71/153.50 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 153.71/153.50 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_inj__vimage__image__eq,axiom, % 153.71/153.50 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__const,axiom, % 153.71/153.50 ! [T_c,V_A_2,V_c_2,T_b] : % 153.71/153.50 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.50 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.50 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.50 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__eq__UN,axiom, % 153.71/153.50 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Ovimage(T_b,T_c,V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ). % 153.71/153.50 % 153.71/153.50 fof(fact_fold__image__distrib,axiom, % 153.71/153.50 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_vimage__subsetI,axiom, % 153.71/153.50 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 153.71/153.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 153.71/153.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2)) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_fold__image__insert,axiom, % 153.71/153.50 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Oab__semigroup__mult(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.50 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2)) ) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum_Oeq__fold,axiom, % 153.71/153.50 ! [V_g_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) ) ). % 153.71/153.50 % 153.71/153.50 fof(fact_setsum_OF__eq,axiom, % 153.71/153.50 ! [V_g_2,V_A_2,T_b,T_c] : % 153.71/153.50 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.50 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) % 153.71/153.50 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_vimage__if,axiom, % 153.71/153.51 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] : % 153.71/153.51 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.51 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 153.71/153.51 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.51 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 153.71/153.51 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = V_B_2 ) ) ) % 153.71/153.51 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 153.71/153.51 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 153.71/153.51 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) ) % 153.71/153.51 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 153.71/153.51 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setprod_OF__eq,axiom, % 153.71/153.51 ! [V_g_2,V_A_2,T_b,T_c] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.51 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) % 153.71/153.51 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setprod_Oeq__fold,axiom, % 153.71/153.51 ! [V_g_2,V_A_2,T_b,T_c] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__image__Un__Int,axiom, % 153.71/153.51 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.51 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__image__reindex,axiom, % 153.71/153.51 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] : % 153.71/153.51 ( class_Groups_Oab__semigroup__mult(T_d) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2) % 153.71/153.51 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_image__eq__fold__image,axiom, % 153.71/153.51 ! [V_f_2,T_c,V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_c,tc_HOL_Obool),T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_card__def,axiom, % 153.71/153.51 ! [V_A_2,T_b] : % 153.71/153.51 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) % 153.71/153.51 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_card_Oeq__fold__g,axiom, % 153.71/153.51 ! [V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_comm__monoid__big_OF__eq,axiom, % 153.71/153.51 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 153.71/153.51 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.51 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) % 153.71/153.51 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.51 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__image__Un__one,axiom, % 153.71/153.51 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))) % 153.71/153.51 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 153.71/153.51 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_T_2)) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_ImageE,axiom, % 153.71/153.51 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 153.71/153.51 => ~ ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) % 153.71/153.51 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_comm__monoid__big_Oinfinite,axiom, % 153.71/153.51 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 153.71/153.51 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.51 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_strong__setprod__reindex__cong,axiom, % 153.71/153.51 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__mult(T_d) % 153.71/153.51 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.51 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2),B_x) ) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 153.71/153.51 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 153.71/153.51 ( ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.51 & class_Groups_Ocomm__monoid__mult(T_b) ) % 153.71/153.51 => ( V_A_2 = V_B_2 % 153.71/153.51 => ( c_Nat__Transfer_Onat__set(V_B_2) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 153.71/153.51 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_dom__eq__singleton__conv,axiom, % 153.71/153.51 ! [V_x_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Map_Odom(T_b,T_c,V_f_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.51 <=> ? [B_v] : V_f_2 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),hAPP(c_COMBK(tc_Option_Ooption(T_c),T_b),c_Option_Ooption_ONone(T_c))),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),B_v)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__dom__body,axiom, % 153.71/153.51 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_domIff,axiom, % 153.71/153.51 ! [V_m_2,T_c,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Map_Odom(T_b,T_c,V_m_2))) % 153.71/153.51 <=> hAPP(V_m_2,V_a_2) != c_Option_Ooption_ONone(T_c) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_domI,axiom, % 153.71/153.51 ! [T_c,V_b_2,T_b,V_a_2,V_m_2] : % 153.71/153.51 ( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_b),V_b_2) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),c_Map_Odom(T_c,T_b,V_m_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_insert__dom,axiom, % 153.71/153.51 ! [T_c,V_y_2,T_b,V_x_2,V_f_2] : % 153.71/153.51 ( hAPP(V_f_2,V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) % 153.71/153.51 => hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Map_Odom(T_c,T_b,V_f_2)) = c_Map_Odom(T_c,T_b,V_f_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_dom__restrict,axiom, % 153.71/153.51 ! [V_A_2,V_m_2,T_c,T_b] : c_Map_Odom(T_b,T_c,c_Map_Orestrict__map(T_b,T_c,V_m_2,V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_c,V_m_2)),V_A_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_dom__empty,axiom, % 153.71/153.51 ! [T_c,T_b] : c_Map_Odom(T_b,T_c,hAPP(c_COMBK(tc_Option_Ooption(T_c),T_b),c_Option_Ooption_ONone(T_c))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_dom__eq__empty__conv,axiom, % 153.71/153.51 ! [V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Map_Odom(T_b,T_c,V_f_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 <=> V_f_2 = hAPP(c_COMBK(tc_Option_Ooption(T_c),T_b),c_Option_Ooption_ONone(T_c)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_dom__const,axiom, % 153.71/153.51 ! [V_f_2,T_c,T_b] : c_Map_Odom(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_Option_Ooption(T_c),T_b),c_Option_Ooption_OSome(T_c)),V_f_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_dom__minus,axiom, % 153.71/153.51 ! [V_A_2,T_c,T_b,V_x_2,V_f_2] : % 153.71/153.51 ( hAPP(V_f_2,V_x_2) = c_Option_Ooption_ONone(T_b) % 153.71/153.51 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Map_Odom(T_c,T_b,V_f_2)),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Map_Odom(T_c,T_b,V_f_2)),V_A_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_dom__fun__upd,axiom, % 153.71/153.51 ! [V_x_2,V_f_2,T_c,T_b,V_y_2] : % 153.71/153.51 ( ( V_y_2 = c_Option_Ooption_ONone(T_b) % 153.71/153.51 => c_Map_Odom(T_c,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),V_f_2),V_x_2),V_y_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Map_Odom(T_c,T_b,V_f_2)),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) ) % 153.71/153.51 & ( V_y_2 != c_Option_Ooption_ONone(T_b) % 153.71/153.51 => c_Map_Odom(T_c,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),V_f_2),V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Map_Odom(T_c,T_b,V_f_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__graph__permute__diff,axiom, % 153.71/153.51 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] : % 153.71/153.51 ( class_Groups_Oab__semigroup__mult(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_x_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_ran__restrictD,axiom, % 153.71/153.51 ! [V_A_2,V_m_2,T_c,V_y_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),c_Map_Oran(T_c,T_b,c_Map_Orestrict__map(T_c,T_b,V_m_2,V_A_2)))) % 153.71/153.51 => ? [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 153.71/153.51 & hAPP(V_m_2,B_x) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_accp__acc__eq,axiom, % 153.71/153.51 ! [V_x_2,V_r_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),V_x_2)) % 153.71/153.51 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__graph__imp__finite,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__graph_Oequations_I1_J,axiom, % 153.71/153.51 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__graph_OemptyI,axiom, % 153.71/153.51 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_empty__fold__graphE,axiom, % 153.71/153.51 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) % 153.71/153.51 => V_x_2 = V_z_2 ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__graph_OinsertI,axiom, % 153.71/153.51 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 153.71/153.51 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_acc__subset,axiom, % 153.71/153.51 ! [V_R2_2,V_R1_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R1_2),V_R2_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oacc(T_b,V_R2_2)),c_Wellfounded_Oacc(T_b,V_R1_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__graph__insert__swap,axiom, % 153.71/153.51 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] : % 153.71/153.51 ( class_Groups_Oab__semigroup__mult(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_y_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2),V_y_2))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_acc__downward,axiom, % 153.71/153.51 ! [V_a_2,V_r_2,V_b_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_acc_Osimps,axiom, % 153.71/153.51 ! [V_r_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 153.71/153.51 <=> ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_a_2)),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Diff1__fold__graph,axiom, % 153.71/153.51 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1Set_Ointros,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_x_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_max__extp_Oequations,axiom, % 153.71/153.51 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 153.71/153.51 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 153.71/153.51 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 153.71/153.51 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 & ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 153.71/153.51 => ? [B_xa] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 153.71/153.51 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_max__ext_Ointros,axiom, % 153.71/153.51 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 153.71/153.51 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 153.71/153.51 => ? [B_xa] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 153.71/153.51 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1Set__nonempty,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,V_f_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2)) % 153.71/153.51 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_empty__fold1SetE,axiom, % 153.71/153.51 ! [V_x_2,V_f_2,T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1Set__sing,axiom, % 153.71/153.51 ! [V_b_2,V_a_2,V_f_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_b_2)) % 153.71/153.51 <=> V_a_2 = V_b_2 ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1Set_Oequations,axiom, % 153.71/153.51 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2)),V_a3_2)) % 153.71/153.51 <=> ? [B_a,B_A] : % 153.71/153.51 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 153.71/153.51 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2)) % 153.71/153.51 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_insert__fold1SetE,axiom, % 153.71/153.51 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2)),V_x_2)) % 153.71/153.51 => ~ ! [B_a,B_A] : % 153.71/153.51 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_image__split__eq__Sigma,axiom, % 153.71/153.51 ! [V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Set_Oimage(T_d,tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_Oimage(T_d,T_c,V_g_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_b),c_Set_Ovimage(T_d,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_A_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_SigmaI,axiom, % 153.71/153.51 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Times__eq__cancel2,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 153.71/153.51 => ( hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) % 153.71/153.51 <=> V_A_2 = V_B_2 ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Sigma__empty1,axiom, % 153.71/153.51 ! [V_B_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Sigma__Diff__distrib2,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Times__Diff__distrib1,axiom, % 153.71/153.51 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Sigma__Diff__distrib1,axiom, % 153.71/153.51 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_card__cartesian__product,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setsum__cartesian__product,axiom, % 153.71/153.51 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Sigma__empty2,axiom, % 153.71/153.51 ! [V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Times__empty,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : % 153.71/153.51 ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) % 153.71/153.51 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Compl__Times__UNIV1,axiom, % 153.71/153.51 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Compl__Times__UNIV2,axiom, % 153.71/153.51 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setprod__cartesian__product,axiom, % 153.71/153.51 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__mult(T_b) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Sigma__Un__distrib2,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Times__Un__distrib1,axiom, % 153.71/153.51 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Sigma__Un__distrib1,axiom, % 153.71/153.51 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_swap__product,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_b,T_c)),hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__cartesian__product,axiom, % 153.71/153.51 ! [V_B_2,T_c,V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_equiv__type,axiom, % 153.71/153.51 ! [V_r_2,V_A_2,T_b] : % 153.71/153.51 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Sigma__Int__distrib1,axiom, % 153.71/153.51 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Times__Int__distrib1,axiom, % 153.71/153.51 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Sigma__Int__distrib2,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Id__on__subset__Times,axiom, % 153.71/153.51 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId__on(T_b,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_UNIV__Times__UNIV,axiom, % 153.71/153.51 ! [T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_mem__Sigma__iff,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 153.71/153.51 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_SigmaD1,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_SigmaD2,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_SigmaE2,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 153.71/153.51 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_card__cartesian__product__singleton,axiom, % 153.71/153.51 ! [V_A_2,V_x_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Times__subset__cancel2,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)))) % 153.71/153.51 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Image__subset,axiom, % 153.71/153.51 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_C_2)),V_B_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__cartesian__productD1,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 153.71/153.51 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__cartesian__productD2,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fst__image__times,axiom, % 153.71/153.51 ! [V_A_2,T_c,T_b,V_B_2] : % 153.71/153.51 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.51 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = V_A_2 ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_snd__image__times,axiom, % 153.71/153.51 ! [V_B_2,T_c,T_b,V_A_2] : % 153.71/153.51 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.51 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = V_B_2 ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_insert__times__insert,axiom, % 153.71/153.51 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__equiv__class,axiom, % 153.71/153.51 ! [V_X_2,V_r_2,V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_UN__Times__distrib,axiom, % 153.71/153.51 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_c,T_b,T_e,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_d,T_e),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_d),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_d),c_Product__Type_OSigma(T_b,T_c)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_e),c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_F_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Sigma__def,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_c),c_Set_Oinsert(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__quotient,axiom, % 153.71/153.51 ! [V_r_2,V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_vimage__Times,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,tc_prod(T_c,T_d),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,T_b,c_Product__Type_Ofst(T_c,T_d)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_d,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_d,T_b,c_Product__Type_Osnd(T_c,T_d)),V_f_2)),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 153.71/153.51 ! [V_A_2,V_I_2,T_c,T_b] : % 153.71/153.51 ? [B_f] : % 153.71/153.51 ( c_Fun_Oinj__on(T_b,tc_prod(T_c,T_b),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) % 153.71/153.51 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_prod(T_c,T_b),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_I_2),V_A_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__image__Sigma,axiom, % 153.71/153.51 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__mult(T_d) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 153.71/153.51 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBC(T_b,T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),T_b),c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d))),V_g_2)),c_Groups_Oone__class_Oone(T_d))),V_B_2)),c_Groups_Oone__class_Oone(T_d)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,tc_prod(T_b,T_c),c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_g_2)),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__SigmaI,axiom, % 153.71/153.51 ! [V_B_2,T_c,V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ! [B_a] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setprod__Sigma,axiom, % 153.71/153.51 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__mult(T_d) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setsum__Sigma,axiom, % 153.71/153.51 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__add(T_d) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_card__SigmaI,axiom, % 153.71/153.51 ! [V_B_2,T_c,V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 153.71/153.51 => hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),V_B_2)),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_SigmaE,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 153.71/153.51 => ~ ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => ! [B_y] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x))) % 153.71/153.51 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_map__pair__surj,axiom, % 153.71/153.51 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] : % 153.71/153.51 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) % 153.71/153.51 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_map__pair__inj__on,axiom, % 153.71/153.51 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.51 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2) % 153.71/153.51 => c_Fun_Oinj__on(tc_prod(T_b,T_d),tc_prod(T_c,T_e),c_Product__Type_Omap__pair(T_b,T_c,T_d,T_e,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_map__pair__imageI,axiom, % 153.71/153.51 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_R_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),tc_prod(T_d,T_e),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)),V_R_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_map__pair__simp,axiom, % 153.71/153.51 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_snd__prod__fun,axiom, % 153.71/153.51 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Omap__pair(T_d,T_c,T_e,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fst__map__pair,axiom, % 153.71/153.51 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_map__pair__ident,axiom, % 153.71/153.51 ! [V_z_2,T_c,T_b] : hAPP(c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)),V_z_2) = V_z_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_map__pair_Ocompositionality,axiom, % 153.71/153.51 ! [V_prod_2,V_i_2,V_h_2,T_g,T_f,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_f,T_b,T_g,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_e,T_c,T_g,V_g_2),V_i_2)),V_prod_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_map__pair__compose,axiom, % 153.71/153.51 ! [V_g2_2,V_g1_2,T_g,V_f2_2,V_f1_2,T_f,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_f2_2,V_g2_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_map__pair_Ocomp,axiom, % 153.71/153.51 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_c,T_b,T_e,T_d,T_g,T_f] : hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g_2),V_i_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_snd__comp__map__pair,axiom, % 153.71/153.51 ! [V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_d),T_d,tc_prod(T_b,T_c),c_Product__Type_Osnd(T_e,T_d)),c_Product__Type_Omap__pair(T_b,T_e,T_c,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_d,tc_prod(T_b,T_c),V_g_2),c_Product__Type_Osnd(T_b,T_c)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fst__comp__map__pair,axiom, % 153.71/153.51 ! [V_g_2,V_f_2,T_c,T_b,T_e,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_d,tc_prod(T_b,T_c),c_Product__Type_Ofst(T_d,T_e)),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,tc_prod(T_b,T_c),V_f_2),c_Product__Type_Ofst(T_b,T_c)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_map__pair__def,axiom, % 153.71/153.51 ! [V_g_2,V_f_2,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_d,T_e)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),T_b),c_COMBB(T_e,tc_prod(T_d,T_e),T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_e,tc_prod(T_d,T_e)),T_b),c_Product__Type_OPair(T_d,T_e)),V_f_2))),V_g_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_map__pair__surj__on,axiom, % 153.71/153.51 ! [V_B_H_2,V_B_2,V_g_2,T_d,T_e,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 153.71/153.51 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 153.71/153.51 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2 % 153.71/153.51 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_H_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_H_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_prod__fun__imageE,axiom, % 153.71/153.51 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2))) % 153.71/153.51 => ~ ! [B_x,B_y] : % 153.71/153.51 ( V_c_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y)) % 153.71/153.51 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),B_x),B_y)),V_R_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__on__def,axiom, % 153.71/153.51 ! [V_r_2,V_A_2,T_b] : % 153.71/153.51 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 153.71/153.51 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 153.71/153.51 & ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1__Un,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b] : % 153.71/153.51 ( class_Groups_Oab__semigroup__mult(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.51 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__on__Id__on,axiom, % 153.71/153.51 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1__singleton__def,axiom, % 153.71/153.51 ! [V_a_2,V_f_2,T_b,V_g_2] : % 153.71/153.51 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2) % 153.71/153.51 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1__singleton,axiom, % 153.71/153.51 ! [V_a_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__on__empty,axiom, % 153.71/153.51 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_folding__one_Oeq__fold,axiom, % 153.71/153.51 ! [V_A_2,V_F_2,V_f_2,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__on__Un,axiom, % 153.71/153.51 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 153.71/153.51 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 153.71/153.51 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 153.71/153.51 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__on__Int,axiom, % 153.71/153.51 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 153.71/153.51 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 153.71/153.51 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 153.71/153.51 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1__def,axiom, % 153.71/153.51 ! [V_A_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Sup__fin_OF__eq,axiom, % 153.71/153.51 ! [V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Olattice(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Inf__fin_OF__eq,axiom, % 153.71/153.51 ! [V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Olattice(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Min_OF__eq,axiom, % 153.71/153.51 ! [V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Max_OF__eq,axiom, % 153.71/153.51 ! [V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 153.71/153.51 ! [V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 153.71/153.51 ! [V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__onD2,axiom, % 153.71/153.51 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 153.71/153.51 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__onD1,axiom, % 153.71/153.51 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 153.71/153.51 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__onD,axiom, % 153.71/153.51 ! [V_a_2,V_r_2,V_A_2,T_b] : % 153.71/153.51 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1__belowI,axiom, % 153.71/153.51 ! [V_a_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Osemilattice__inf(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)),V_a_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_below__fold1__iff,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Osemilattice__inf(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2))) % 153.71/153.51 <=> ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_Ofold1__belowI,axiom, % 153.71/153.51 ! [V_a_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_a_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1__insert__idem,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_Obelow__fold1__iff,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) % 153.71/153.51 <=> ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1__below__iff,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2)) % 153.71/153.51 <=> ? [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1__Un2,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.51 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1__strict__below__iff,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2)) % 153.71/153.51 <=> ? [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_strict__below__fold1__iff,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) % 153.71/153.51 <=> ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1__insert,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Groups_Oab__semigroup__mult(T_b) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1__antimono,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_semilattice__big_OF__eq,axiom, % 153.71/153.51 ! [V_A_2,V_F_2,V_f_2,T_b] : % 153.71/153.51 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__onI,axiom, % 153.71/153.51 ! [V_A_2,V_r_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) % 153.71/153.51 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1__in,axiom, % 153.71/153.51 ! [V_A_2,T_b] : % 153.71/153.51 ( class_Groups_Oab__semigroup__mult(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),V_A_2)) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_hom__fold1__commute,axiom, % 153.71/153.51 ! [V_N_2,V_h_2,T_b] : % 153.71/153.51 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 153.71/153.51 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 153.71/153.51 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_folding__one__idem_Ohom__commute,axiom, % 153.71/153.51 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 153.71/153.51 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(V_f_2,B_x),B_y)) = hAPP(hAPP(V_f_2,hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 153.71/153.51 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setprod__pos__nat,axiom, % 153.71/153.51 ! [V_f_2,V_S_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Rep__Integ__induct,axiom, % 153.71/153.51 ! [V_Pa_2,V_y_2] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 153.71/153.51 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x))) % 153.71/153.51 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Rep__Integ__cases,axiom, % 153.71/153.51 ! [V_y_2] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 153.71/153.51 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.51 => hAPP(V_g_2,B_x) = V_z_2 ) % 153.71/153.51 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_card__less__Suc2,axiom, % 153.71/153.51 ! [V_i_2,V_M_2] : % 153.71/153.51 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 153.71/153.51 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2)))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_card__less,axiom, % 153.71/153.51 ! [V_i_2,V_M_2] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 153.71/153.51 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_CollectI,axiom, % 153.71/153.51 ! [T_b,V_a_2,V_Pa_2] : % 153.71/153.51 ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__Collect__conjI,axiom, % 153.71/153.51 ! [V_Qa_2,V_Pa_2,T_b] : % 153.71/153.51 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 153.71/153.51 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Qa_2)))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__Collect__less__nat,axiom, % 153.71/153.51 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_k_2)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__Collect__le__nat,axiom, % 153.71/153.51 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_k_2)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__Collect__disjI,axiom, % 153.71/153.51 ! [V_Qa_2,V_Pa_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Qa_2)))) % 153.71/153.51 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 153.71/153.51 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Collect__conj__eq,axiom, % 153.71/153.51 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_UNIV__def,axiom, % 153.71/153.51 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fTrue)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Collect__def,axiom, % 153.71/153.51 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_insert__Collect,axiom, % 153.71/153.51 ! [V_Pa_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_Pa_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_empty__def,axiom, % 153.71/153.51 ! [T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_empty__Collect__eq,axiom, % 153.71/153.51 ! [V_Pa_2,T_b] : % 153.71/153.51 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2) % 153.71/153.51 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Collect__empty__eq,axiom, % 153.71/153.51 ! [V_Pa_2,T_b] : % 153.71/153.51 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Collect__disj__eq,axiom, % 153.71/153.51 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_CollectE,axiom, % 153.71/153.51 ! [V_Pa_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 153.71/153.51 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_CollectD,axiom, % 153.71/153.51 ! [V_Pa_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 153.71/153.51 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_mem__Collect__eq,axiom, % 153.71/153.51 ! [V_Pa_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 153.71/153.51 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Collect__mem__eq,axiom, % 153.71/153.51 ! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_vimage__Collect__eq,axiom, % 153.71/153.51 ! [V_Pa_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_Pa_2),V_f_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Collect__neg__eq,axiom, % 153.71/153.51 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Collect__split,axiom, % 153.71/153.51 ! [V_Qa_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Qa_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_SetCompr__Sigma__eq,axiom, % 153.71/153.51 ! [V_Qa_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Qa_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_insert__compr,axiom, % 153.71/153.51 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_insert__compr__raw,axiom, % 153.71/153.51 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Un__def,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Int__def,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Int__Collect,axiom, % 153.71/153.51 ! [V_Pa_2,V_A_2,V_x_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))) % 153.71/153.51 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Collect__conv__if,axiom, % 153.71/153.51 ! [T_b,V_a_2,V_Pa_2] : % 153.71/153.51 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 153.71/153.51 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 153.71/153.51 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 153.71/153.51 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Collect__conv__if2,axiom, % 153.71/153.51 ! [T_b,V_a_2,V_Pa_2] : % 153.71/153.51 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 153.71/153.51 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 153.71/153.51 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 153.71/153.51 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_singleton__conv,axiom, % 153.71/153.51 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_singleton__conv2,axiom, % 153.71/153.51 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_set__diff__eq,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__Collect__not,axiom, % 153.71/153.51 ! [V_Pa_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)))) % 153.71/153.51 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_insert__def,axiom, % 153.71/153.51 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Compl__eq,axiom, % 153.71/153.51 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_vimage__def,axiom, % 153.71/153.51 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(T_c)),V_f_2)),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Collect__imp__eq,axiom, % 153.71/153.51 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_dom__def,axiom, % 153.71/153.51 ! [V_m_2,T_c,T_b] : c_Map_Odom(T_b,T_c,V_m_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_Option_Ooption(T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_c),tc_fun(tc_Option_Ooption(T_c),tc_HOL_Obool),T_b),c_fequal),V_m_2)),c_Option_Ooption_ONone(T_c)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__M__bounded__by__nat,axiom, % 153.71/153.51 ! [V_i_2,V_Pa_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_Pa_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setsum__setsum__restrict,axiom, % 153.71/153.51 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__add(T_d) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_d),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_d),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d)),hAPP(c_COMBC(T_b,T_c,T_d),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_if__image__distrib,axiom, % 153.71/153.51 ! [V_S_2,V_g_2,V_f_2,V_Pa_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_Pa_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2))))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_dom__if,axiom, % 153.71/153.51 ! [V_g_2,V_f_2,V_Pa_2,T_c,T_b] : c_Map_Odom(T_b,T_c,hAPP(hAPP(c_COMBS(T_b,tc_Option_Ooption(T_c),tc_Option_Ooption(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Option_Ooption(T_c),tc_fun(tc_Option_Ooption(T_c),tc_Option_Ooption(T_c))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(T_c),tc_fun(tc_Option_Ooption(T_c),tc_Option_Ooption(T_c))),T_b),c_If(tc_Option_Ooption(T_c))),V_Pa_2)),V_f_2)),V_g_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_c,V_f_2)),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_c,V_g_2)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_nat__seg__image__imp__finite,axiom, % 153.71/153.51 ! [V_na_2,V_f_2,T_b,V_A_2] : % 153.71/153.51 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_na_2))) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setsum__restrict__set_H,axiom, % 153.71/153.51 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setsum__image__gen,axiom, % 153.71/153.51 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_b),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_S_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Image__singleton,axiom, % 153.71/153.51 ! [V_a_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_b))),hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2))),V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setsum__cases,axiom, % 153.71/153.51 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_Pa_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_card__less__Suc,axiom, % 153.71/153.51 ! [V_i_2,V_M_2] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 153.71/153.51 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_dom__override__on,axiom, % 153.71/153.51 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : c_Map_Odom(T_b,T_c,c_Fun_Ooverride__on(T_b,tc_Option_Ooption(T_c),V_f_2,V_g_2,V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_c,V_f_2)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Map_Odom(T_b,T_c,V_g_2)))))),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Map_Odom(T_b,T_c,V_g_2))))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setsum__multicount,axiom, % 153.71/153.51 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2)) % 153.71/153.51 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 ) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_c),V_T_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__Collect__subsets,axiom, % 153.71/153.51 ! [V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Pow__def,axiom, % 153.71/153.51 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_override__on__apply__in,axiom, % 153.71/153.51 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_override__on__apply__notin,axiom, % 153.71/153.51 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 153.71/153.51 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_override__on__emptyset,axiom, % 153.71/153.51 ! [V_g_2,V_f_2,T_c,T_b] : c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_f_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_inj__graph,axiom, % 153.71/153.51 ! [T_c,T_b] : c_Fun_Oinj__on(tc_fun(T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Set_OCollect(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool)),hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 153.71/153.51 ! [V_Pa_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_override__on__def,axiom, % 153.71/153.51 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 153.71/153.51 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) % 153.71/153.51 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__psubset__def,axiom, % 153.71/153.51 ! [T_b] : c_Wellfounded_Ofinite__psubset(T_b) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_b)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_inv__image__def,axiom, % 153.71/153.51 ! [V_f_2,V_r_2,T_b,T_c] : hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_c,T_c)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_c),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),T_b),c_COMBB(T_c,tc_prod(T_c,T_c),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_prod(T_c,T_c)),T_b),c_Product__Type_OPair(T_c,T_c)),V_f_2))),V_f_2)))),V_r_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 153.71/153.51 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_Pa_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 153.71/153.51 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_Pa_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_Pa_2),c_Int_Onat)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Nitpick_Oprod__def,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : c_Nitpick_Oprod(T_b,T_c,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_int__ge__less__than__def,axiom, % 153.71/153.51 ! [V_d_2] : c_Int_Oint__ge__less__than(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_int__ge__less__than2__def,axiom, % 153.71/153.51 ! [V_d_2] : c_Int_Oint__ge__less__than2(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_reflp__def,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Predicate_Oreflp(T_b,V_r_2) % 153.71/153.51 <=> c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_reflpE,axiom, % 153.71/153.51 ! [V_x_2,V_r_2,T_b] : % 153.71/153.51 ( c_Predicate_Oreflp(T_b,V_r_2) % 153.71/153.51 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__Collect__bounded__ex,axiom, % 153.71/153.51 ! [V_Qa_2,T_c,V_Pa_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))))) % 153.71/153.51 <=> ! [B_y] : % 153.71/153.51 ( hBOOL(hAPP(V_Pa_2,B_y)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Qa_2),B_y)))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__image__set,axiom, % 153.71/153.51 ! [V_f_2,T_c,V_Pa_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_Pa_2))))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_ran__def,axiom, % 153.71/153.51 ! [V_m_2,T_b,T_c] : c_Map_Oran(T_c,T_b,V_m_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_Option_Ooption(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),T_c),c_fequal),V_m_2))),c_Option_Ooption_OSome(T_b)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Pow__Compl,axiom, % 153.71/153.51 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_b))))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_add__Min__commute,axiom, % 153.71/153.51 ! [V_k_2,V_N_2,T_b] : % 153.71/153.51 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 153.71/153.51 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_add__Max__commute,axiom, % 153.71/153.51 ! [V_k_2,V_N_2,T_b] : % 153.71/153.51 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 153.71/153.51 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_sup__Inf2__distrib,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Odistrib__lattice(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.51 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_sup__Inf1__distrib,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Odistrib__lattice(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_inf__Sup1__distrib,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Odistrib__lattice(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_inf__Sup2__distrib,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Odistrib__lattice(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.51 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.51 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omin(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.51 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omax(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setsum__mult__setsum__if__inj,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : % 153.71/153.51 ( class_Rings_Osemiring__0(T_d) % 153.71/153.51 => ( c_Fun_Oinj__on(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) % 153.71/153.51 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_d),c_Fun_Oid(T_d)),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),T_d),c_COMBB(T_d,tc_HOL_Obool,T_c)),c_fequal))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setsum__multicount__gen,axiom, % 153.71/153.51 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2)) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2)) % 153.71/153.51 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_s_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) ) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_inj__on__id,axiom, % 153.71/153.51 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_map__pair_Oidentity,axiom, % 153.71/153.51 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_map__pair_Oid,axiom, % 153.71/153.51 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_Fun_Oid(T_b),c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_vimage__id,axiom, % 153.71/153.51 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_id__def,axiom, % 153.71/153.51 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 153.71/153.51 % 153.71/153.51 fof(fact_id__apply,axiom, % 153.71/153.51 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 153.71/153.51 % 153.71/153.51 fof(fact_apsnd__id,axiom, % 153.71/153.51 ! [T_b,T_c] : c_Product__Type_Oapsnd(T_c,T_c,T_b,c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_apfst__id,axiom, % 153.71/153.51 ! [T_c,T_b] : c_Product__Type_Oapfst(T_b,T_b,T_c,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_of__int__eq__id,axiom, % 153.71/153.51 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 153.71/153.51 % 153.71/153.51 fof(fact_o__id,axiom, % 153.71/153.51 ! [V_f_2,T_c,T_b] : hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_f_2),c_Fun_Oid(T_b)) = V_f_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_id__o,axiom, % 153.71/153.51 ! [V_g_2,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_g_2) = V_g_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_o__eq__id__dest,axiom, % 153.71/153.51 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 153.71/153.51 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_c_2) % 153.71/153.51 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_surj__id,axiom, % 153.71/153.51 ! [T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_image__id,axiom, % 153.71/153.51 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_folding_Oempty,axiom, % 153.71/153.51 ! [V_F_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 153.71/153.51 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_apsnd__def,axiom, % 153.71/153.51 ! [V_f_2,T_b,T_d,T_c] : c_Product__Type_Oapsnd(T_c,T_d,T_b,V_f_2) = c_Product__Type_Omap__pair(T_b,T_b,T_c,T_d,c_Fun_Oid(T_b),V_f_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_apfst__def,axiom, % 153.71/153.51 ! [V_f_2,T_c,T_d,T_b] : c_Product__Type_Oapfst(T_b,T_d,T_c,V_f_2) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_c,V_f_2,c_Fun_Oid(T_c)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_split__Pair,axiom, % 153.71/153.51 ! [T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setsum__reindex__id,axiom, % 153.71/153.51 ! [V_B_2,V_f_2,T_b,T_c] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.51 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setprod__reindex__id,axiom, % 153.71/153.51 ! [V_B_2,V_f_2,T_b,T_c] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.51 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__conv__nat__seg__image,axiom, % 153.71/153.51 ! [V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__comp__def,axiom, % 153.71/153.51 ! [V_s_2,V_r_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBC(T_d,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_d),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_b,T_d)))),c_Product__Type_OPair(T_b,T_d)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_d,T_c)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_d,T_c),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_d,T_c)))),hAPP(c_COMBC(T_d,T_c,tc_prod(T_d,T_c)),c_Product__Type_OPair(T_d,T_c))))),V_s_2))))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__compI,axiom, % 153.71/153.51 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_b_2),V_c_2)),V_s_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_c_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_O__assoc,axiom, % 153.71/153.51 ! [V_T_2,V_S_2,V_R_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_d),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_c),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_e,T_d,T_c),V_S_2),V_T_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__comp__mono,axiom, % 153.71/153.51 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_H_2),V_s_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__comp__distrib2,axiom, % 153.71/153.51 ! [V_R_2,V_T_2,V_S_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_S_2),V_T_2)),V_R_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_T_2),V_R_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__comp__distrib,axiom, % 153.71/153.51 ! [V_T_2,V_S_2,V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_T_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__comp__empty1,axiom, % 153.71/153.51 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__comp__empty2,axiom, % 153.71/153.51 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__comp__UNION__distrib,axiom, % 153.71/153.51 ! [V_r_2,V_I_2,T_e,V_s_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e),hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2)),V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__comp__UNION__distrib2,axiom, % 153.71/153.51 ! [V_s_2,V_r_2,V_I_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_e),c_Relation_Orel__comp(T_b,T_d,T_c)),V_r_2)),V_s_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_union__comp__emptyR,axiom, % 153.71/153.51 ! [V_C_2,V_B_2,V_A_2,T_b] : % 153.71/153.51 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 153.71/153.51 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_union__comp__emptyL,axiom, % 153.71/153.51 ! [V_B_2,V_C_2,V_A_2,T_b] : % 153.71/153.51 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 153.71/153.51 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__comp__subset__Sigma,axiom, % 153.71/153.51 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_B_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2)))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_C_2)))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_max__ext__compat,axiom, % 153.71/153.51 ! [V_S_2,V_R_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__ext__compat,axiom, % 153.71/153.51 ! [V_S_2,V_R_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_b,V_R_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_pred__comp__rel__comp__eq,axiom, % 153.71/153.51 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 153.71/153.51 ( c_Predicate_Opred__comp(T_b,T_c,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d)))),V_s_2),V_x_2,V_y_2) % 153.71/153.51 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_reduction__pairI,axiom, % 153.71/153.51 ! [V_S_2,V_R_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_R_2) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 153.71/153.51 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__less__than,axiom, % 153.71/153.51 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 153.71/153.51 % 153.71/153.51 fof(fact_pred__comp_Ointros,axiom, % 153.71/153.51 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2)) % 153.71/153.51 => c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2,V_a_2,V_c_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__empty,axiom, % 153.71/153.51 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__inv__image,axiom, % 153.71/153.51 ! [V_f_2,T_c,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__lex__prod,axiom, % 153.71/153.51 ! [V_rb_2,T_c,V_ra_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_ra_2) % 153.71/153.51 => ( c_Wellfounded_Owf(T_c,V_rb_2) % 153.71/153.51 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__measure,axiom, % 153.71/153.51 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__comp__self,axiom, % 153.71/153.51 ! [V_R_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_R_2) % 153.71/153.51 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__no__loop,axiom, % 153.71/153.51 ! [V_R_2,T_b] : % 153.71/153.51 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 153.71/153.51 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__less,axiom, % 153.71/153.51 c_Wellfounded_Owf(tc_Nat_Onat,hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__int__ge__less__than,axiom, % 153.71/153.51 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_acc__wfD,axiom, % 153.71/153.51 ! [V_x_2,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__acc__iff,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__subset,axiom, % 153.71/153.51 ! [V_p_2,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_p_2),V_r_2)) % 153.71/153.51 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__mlex,axiom, % 153.71/153.51 ! [V_f_2,V_R_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_R_2) % 153.71/153.51 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__ext__wf,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_pred__comp_Oequations,axiom, % 153.71/153.51 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 153.71/153.51 ( c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2,V_a1_2,V_a3_2) % 153.71/153.51 <=> ? [B_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 153.71/153.51 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__pair__less,axiom, % 153.71/153.51 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 153.71/153.51 % 153.71/153.51 fof(fact_max__ext__wf,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__finite__psubset,axiom, % 153.71/153.51 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__Int1,axiom, % 153.71/153.51 ! [V_r_H_2,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__Int2,axiom, % 153.71/153.51 ! [V_r_H_2,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__irrefl,axiom, % 153.71/153.51 ! [V_a_2,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__asym,axiom, % 153.71/153.51 ! [V_x_2,V_a_2,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2)) % 153.71/153.51 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__not__sym,axiom, % 153.71/153.51 ! [V_x_2,V_a_2,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2)) % 153.71/153.51 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__not__refl,axiom, % 153.71/153.51 ! [V_a_2,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__int__ge__less__than2,axiom, % 153.71/153.51 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__union__merge,axiom, % 153.71/153.51 ! [V_S_2,V_R_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) % 153.71/153.51 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_S_2),V_R_2))),V_S_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 <=> ~ ? [B_f] : % 153.71/153.51 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wfE__pf,axiom, % 153.71/153.51 ! [V_A_2,V_R_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_R_2) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),V_A_2))) % 153.71/153.51 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__union__compatible,axiom, % 153.71/153.51 ! [V_S_2,V_R_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_R_2) % 153.71/153.51 => ( c_Wellfounded_Owf(T_b,V_S_2) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 153.71/153.51 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf,axiom, % 153.71/153.51 ! [T_b] : % 153.71/153.51 ( class_Orderings_Owellorder(T_b) % 153.71/153.51 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_b)))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_reduction__pair__def,axiom, % 153.71/153.51 ! [V_Pa_2,T_b] : % 153.71/153.51 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 153.71/153.51 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)) % 153.71/153.51 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_reduction__pair__lemma,axiom, % 153.71/153.51 ! [V_S_2,V_R_2,V_Pa_2,T_b] : % 153.71/153.51 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) % 153.71/153.51 => ( c_Wellfounded_Owf(T_b,V_S_2) % 153.71/153.51 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__map__pair__image,axiom, % 153.71/153.51 ! [V_f_2,T_c,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.51 => c_Wellfounded_Owf(T_c,hAPP(c_Set_Oimage(tc_prod(T_b,T_b),tc_prod(T_c,T_c),c_Product__Type_Omap__pair(T_b,T_c,T_b,T_c,V_f_2,V_f_2)),V_r_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__lenlex,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__if__measure,axiom, % 153.71/153.51 ! [T_b,V_g_2,V_f_2,V_Pa_2] : % 153.71/153.51 ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(V_Pa_2,B_x)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,hAPP(V_g_2,B_x))),hAPP(V_f_2,B_x))) ) % 153.71/153.51 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_pred__nat__def,axiom, % 153.71/153.51 c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_fequal)),c_Nat_OSuc))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__lex,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__pred__nat,axiom, % 153.71/153.51 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 153.71/153.51 % 153.71/153.51 fof(fact_lex__def,axiom, % 153.71/153.51 ! [V_r_2,T_b] : c_List_Olex(T_b,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_b,V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__lexn,axiom, % 153.71/153.51 ! [V_na_2,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_lexn_Osimps_I1_J,axiom, % 153.71/153.51 ! [V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__same__fst,axiom, % 153.71/153.51 ! [T_b,V_R_2,T_c,V_Pa_2] : % 153.71/153.51 ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(V_Pa_2,B_x)) % 153.71/153.51 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) ) % 153.71/153.51 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Range__Collect__split,axiom, % 153.71/153.51 ! [V_Pa_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_RangeI,axiom, % 153.71/153.51 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Range__Id__on,axiom, % 153.71/153.51 ! [V_A_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_Range__empty__iff,axiom, % 153.71/153.51 ! [V_r_2,T_b,T_c] : % 153.71/153.51 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Range__empty,axiom, % 153.71/153.51 ! [T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Range__Un__eq,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__Range,axiom, % 153.71/153.51 ! [V_r_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_snd__eq__Range,axiom, % 153.71/153.51 ! [V_R_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_b,c_Product__Type_Osnd(T_c,T_b)),V_R_2) = hAPP(c_Relation_ORange(T_c,T_b),V_R_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Range__iff,axiom, % 153.71/153.51 ! [V_r_2,T_c,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 153.71/153.51 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),V_a_2)),V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Range__insert,axiom, % 153.71/153.51 ! [V_r_2,V_b_2,V_a_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Range__Int__subset,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Range__Diff__subset,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2))),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_RangeP__Range__eq,axiom, % 153.71/153.51 ! [V_x_2,V_r_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2)) % 153.71/153.51 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_RangeE,axiom, % 153.71/153.51 ! [V_r_2,T_c,V_b_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 153.71/153.51 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_RangeP_Ointros,axiom, % 153.71/153.51 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 153.71/153.51 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_RangeP_Oequations,axiom, % 153.71/153.51 ! [V_a2_2,V_r_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2)) % 153.71/153.51 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__Un,axiom, % 153.71/153.51 ! [V_s_2,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => ( c_Wellfounded_Owf(T_b,V_s_2) % 153.71/153.51 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wfP__def,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_OwfP(T_b,V_r_2) % 153.71/153.51 <=> c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wfP__empty,axiom, % 153.71/153.51 ! [T_b] : c_Wellfounded_OwfP(T_b,hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_DomainI,axiom, % 153.71/153.51 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wfP__accp__iff,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_OwfP(T_b,V_r_2) % 153.71/153.51 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_accp__wfPD,axiom, % 153.71/153.51 ! [V_x_2,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_OwfP(T_b,V_r_2) % 153.71/153.51 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Domain__Id__on,axiom, % 153.71/153.51 ! [V_A_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_wfP__subset,axiom, % 153.71/153.51 ! [V_p_2,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_OwfP(T_b,V_r_2) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_p_2),V_r_2)) % 153.71/153.51 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Domain__empty__iff,axiom, % 153.71/153.51 ! [V_r_2,T_c,T_b] : % 153.71/153.51 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Domain__empty,axiom, % 153.71/153.51 ! [T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Domain__mono,axiom, % 153.71/153.51 ! [V_s_2,V_r_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_s_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Domain__Un__eq,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__Domain,axiom, % 153.71/153.51 ! [V_r_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fst__eq__Domain,axiom, % 153.71/153.51 ! [V_R_2,T_c,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),V_R_2) = hAPP(c_Relation_ODomain(T_b,T_c),V_R_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Domain__iff,axiom, % 153.71/153.51 ! [V_r_2,T_c,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 153.71/153.51 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Domain__insert,axiom, % 153.71/153.51 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Domain__Int__subset,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Domain__Diff__subset,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2))),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Field__def,axiom, % 153.71/153.51 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__in__rel,axiom, % 153.71/153.51 ! [V_R_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_R_2) % 153.71/153.51 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wfP__wf__eq,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)) % 153.71/153.51 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Domain__Collect__split,axiom, % 153.71/153.51 ! [V_Pa_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_Pa_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_DomainP__Domain__eq,axiom, % 153.71/153.51 ! [V_x_2,V_r_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2)) % 153.71/153.51 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_DomainE,axiom, % 153.71/153.51 ! [V_r_2,T_c,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 153.71/153.51 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_DomainP_Ointros,axiom, % 153.71/153.51 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 153.71/153.51 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_DomainP_Oequations,axiom, % 153.71/153.51 ! [V_a1_2,V_r_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2)) % 153.71/153.51 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wfP__acyclicP,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_OwfP(T_b,V_r_2) % 153.71/153.51 => c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_pos__map__def,axiom, % 153.71/153.51 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__acyclic,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_acyclic__subset,axiom, % 153.71/153.51 ! [V_r_2,V_s_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Oacyclic(T_b,V_s_2) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 153.71/153.51 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__iff__acyclic__if__finite,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 153.71/153.51 => ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__acyclic__wf,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 153.71/153.51 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 153.71/153.51 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_pos__single__def,axiom, % 153.71/153.51 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_b,V_x_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Nitpick_Owf_H__def,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Nitpick_Owf_H(T_b,V_r_2) % 153.71/153.51 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 153.71/153.51 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 153.71/153.51 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_New__DSequence_Opos__single__def,axiom, % 153.71/153.51 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Opos__single(T_a,V_x),V_i_1) = c_Lazy__Sequence_Osingle(T_a,V_x) ). % 153.71/153.51 % 153.71/153.51 fof(fact_neg__map__def,axiom, % 153.71/153.51 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_neg__single__def,axiom, % 153.71/153.51 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_b,V_x_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_pigeonhole__infinite,axiom, % 153.71/153.51 ! [V_f_2,T_c,V_A_2,T_b] : % 153.71/153.51 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 153.71/153.51 => ? [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_New__DSequence_Oneg__single__def,axiom, % 153.71/153.51 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Oneg__single(T_a,V_x),V_i_1) = c_Lazy__Sequence_Ohb__single(T_a,V_x) ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__on__def_H,axiom, % 153.71/153.51 ! [V_r_2,V_A_2,T_b] : % 153.71/153.51 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 153.71/153.51 <=> ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),B_x)) ) % 153.71/153.51 & ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Powp__def,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2)) % 153.71/153.51 <=> ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 153.71/153.51 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_ball__empty,axiom, % 153.71/153.51 ! [V_Pa_2,T_b,B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.51 => hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_congruent__def,axiom, % 153.71/153.51 ! [V_f_2,V_r_2,T_c,T_b] : % 153.71/153.51 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 153.71/153.51 <=> ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Abs__Integ__cases,axiom, % 153.71/153.51 ! [V_x_2] : % 153.71/153.51 ~ ! [B_y] : % 153.71/153.51 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y) % 153.71/153.51 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Abs__Integ__induct,axiom, % 153.71/153.51 ! [V_x_2,V_Pa_2] : % 153.71/153.51 ( ! [B_y] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) % 153.71/153.51 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) ) % 153.71/153.51 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__UN__I,axiom, % 153.71/153.51 ! [V_B_2,T_c,V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ! [B_a] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_inj__on__diff__nat,axiom, % 153.71/153.51 ! [V_k_2,V_N_2] : % 153.71/153.51 ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) ) % 153.71/153.51 => c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_k_2),V_N_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wfP__SUP,axiom, % 153.71/153.51 ! [T_b,V_r_2,T_c] : % 153.71/153.51 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i)) % 153.71/153.51 => ( ! [B_i,B_j] : % 153.71/153.51 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j) % 153.71/153.51 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Predicate_ODomainP(T_c,T_c,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_c,T_c,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.51 => c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__map__freshness,axiom, % 153.71/153.51 ! [V_f_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Map_Odom(T_b,T_c,V_f_2))) % 153.71/153.51 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 153.71/153.51 => ? [B_x] : hAPP(V_f_2,B_x) = c_Option_Ooption_ONone(T_c) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_mem__splitE,axiom, % 153.71/153.51 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),V_p_2))) % 153.71/153.51 => ~ ! [B_x,B_y] : % 153.71/153.51 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y) % 153.71/153.51 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_mem__splitI2,axiom, % 153.71/153.51 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] : % 153.71/153.51 ( ! [B_a,B_b] : % 153.71/153.51 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) ) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_c_2),V_p_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Eps__split,axiom, % 153.71/153.51 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wfI__pf,axiom, % 153.71/153.51 ! [V_R_2,T_b] : % 153.71/153.51 ( ! [B_A] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),B_A))) % 153.71/153.51 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 153.71/153.51 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_exE__some,axiom, % 153.71/153.51 ! [T_b,V_c_2,V_Pa_2] : % 153.71/153.51 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 153.71/153.51 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2) % 153.71/153.51 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_tfl__some,axiom, % 153.71/153.51 ! [T_b,B_P] : % 153.71/153.51 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 153.71/153.51 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_someI,axiom, % 153.71/153.51 ! [T_b,V_x_2,V_Pa_2] : % 153.71/153.51 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.51 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_some__sym__eq__trivial,axiom, % 153.71/153.51 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_some__eq__trivial,axiom, % 153.71/153.51 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_some__eq__ex,axiom, % 153.71/153.51 ! [T_b,V_Pa_2] : % 153.71/153.51 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) % 153.71/153.51 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_someI__ex,axiom, % 153.71/153.51 ! [T_b,V_Pa_2] : % 153.71/153.51 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 153.71/153.51 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_split__paired__Eps,axiom, % 153.71/153.51 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_Pa_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Eps__split__eq,axiom, % 153.71/153.51 ! [V_y_2,V_x_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Sigma__mono,axiom, % 153.71/153.51 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) ) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_C_2),V_D_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_not__acc__down,axiom, % 153.71/153.51 ! [V_R_2,V_x_2,T_b] : % 153.71/153.51 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2))) % 153.71/153.51 => ~ ! [B_z] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_x_2)),V_R_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_acc_OaccI,axiom, % 153.71/153.51 ! [V_r_2,V_x_2,T_b] : % 153.71/153.51 ( ! [B_y] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_x_2)),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) ) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__image__1,axiom, % 153.71/153.51 ! [V_f_2,V_S_2,T_b,T_c] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__mult(T_c) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 153.71/153.51 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 153.71/153.51 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_card_Oneutral,axiom, % 153.71/153.51 ! [V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.71/153.51 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_max__ext_Osimps,axiom, % 153.71/153.51 ! [V_R_2,V_a2_2,V_a1_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) % 153.71/153.51 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 153.71/153.51 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 153.71/153.51 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 & ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 153.71/153.51 => ? [B_xa] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 153.71/153.51 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__image__cong,axiom, % 153.71/153.51 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] : % 153.71/153.51 ( class_Groups_Oab__semigroup__mult(T_c) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 153.71/153.51 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),V_z_2),V_A_2) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setprod__dvd__setprod__subset2,axiom, % 153.71/153.51 ! [V_g_2,V_f_2,V_A_2,V_B_2,T_b,T_c] : % 153.71/153.51 ( class_Rings_Ocomm__semiring__1(T_c) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2))) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Max__eqI,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ! [B_y] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) ) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Min__eqI,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ! [B_y] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) ) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__no__infinite__down__chainE,axiom, % 153.71/153.51 ! [V_f_2,V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_setsum__reindex__cong,axiom, % 153.71/153.51 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 153.71/153.51 ( class_Groups_Ocomm__monoid__add(T_d) % 153.71/153.51 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 153.71/153.51 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 153.71/153.51 => ( ! [B_a] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 153.71/153.51 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) ) % 153.71/153.51 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_less__eq,axiom, % 153.71/153.51 ! [V_na_2,V_m_2] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_na_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))) % 153.71/153.51 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__trancl,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_folding_Oeq__fold,axiom, % 153.71/153.51 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_s_2),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__image__def,axiom, % 153.71/153.51 ! [V_g_2,V_f_2,T_c,T_b] : hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_c,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__empty,axiom, % 153.71/153.51 ! [V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__def,axiom, % 153.71/153.51 ! [V_A_2,V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold__graph(T_c,T_b,V_f_2,V_z_2,V_A_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_union__fold__insert,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)),V_B_2),V_A_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__sup__insert,axiom, % 153.71/153.51 ! [V_a_2,V_b_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Osemilattice__sup(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__inf__insert,axiom, % 153.71/153.51 ! [V_a_2,V_b_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Osemilattice__inf(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_less__than__def,axiom, % 153.71/153.51 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_Ofold__inf__insert,axiom, % 153.71/153.51 ! [V_a_2,V_b_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_Ofold__sup__insert,axiom, % 153.71/153.51 ! [V_a_2,V_b_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_acyclic__def,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 153.71/153.51 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom, % 153.71/153.51 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom, % 153.71/153.51 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_sup__SUPR__fold__sup,axiom, % 153.71/153.51 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.51 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom, % 153.71/153.51 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_a_2),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_sup__le__fold__sup,axiom, % 153.71/153.51 ! [V_b_2,V_a_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Osemilattice__sup(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold__inf__le__inf,axiom, % 153.71/153.51 ! [V_b_2,V_a_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Osemilattice__inf(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_Ofold__inf__le__inf,axiom, % 153.71/153.51 ! [V_b_2,V_a_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),V_b_2))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_Osup__le__fold__sup,axiom, % 153.71/153.51 ! [V_b_2,V_a_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1__eq__fold__idem,axiom, % 153.71/153.51 ! [V_a_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom, % 153.71/153.51 ! [V_a_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Olattice(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_a_2),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom, % 153.71/153.51 ! [V_a_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Olattice(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_a_2),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Min_Oeq__fold__idem_H,axiom, % 153.71/153.51 ! [V_a_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Max_Oeq__fold__idem_H,axiom, % 153.71/153.51 ! [V_a_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom, % 153.71/153.51 ! [V_a_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom, % 153.71/153.51 ! [V_a_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_minus__fold__remove,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2),V_A_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_folding__one_Oeq__fold_H,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_x_2),V_A_2) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_SUPR__fold__sup,axiom, % 153.71/153.51 ! [V_f_2,V_A_2,T_b,T_c] : % 153.71/153.51 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(T_c)),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fold1__eq__fold,axiom, % 153.71/153.51 ! [V_a_2,V_A_2,T_b] : % 153.71/153.51 ( class_Groups_Oab__semigroup__mult(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Sup__fin_Oeq__fold_H,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Olattice(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_x_2),V_A_2) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Inf__fin_Oeq__fold_H,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Lattices_Olattice(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_x_2),V_A_2) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Min_Oeq__fold_H,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Max_Oeq__fold_H,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom, % 153.71/153.51 ! [V_x_2,V_A_2,T_b] : % 153.71/153.51 ( class_Orderings_Olinorder(T_b) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl_Or__into__trancl,axiom, % 153.71/153.51 ! [V_r_2,V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__subset__Field2,axiom, % 153.71/153.51 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_Relation_OField(T_b),V_r_2))))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_r__into__trancl_H,axiom, % 153.71/153.51 ! [V_r_2,V_p_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__empty,axiom, % 153.71/153.51 ! [T_b] : c_Transitive__Closure_Otrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__domain,axiom, % 153.71/153.51 ! [V_r_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__range,axiom, % 153.71/153.51 ! [V_r_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ORange(T_b,T_b),V_r_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__trancl,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 153.71/153.51 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__trans,axiom, % 153.71/153.51 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 153.71/153.51 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__into__trancl2,axiom, % 153.71/153.51 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_r__r__into__trancl,axiom, % 153.71/153.51 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_R_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_R_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__mono,axiom, % 153.71/153.51 ! [V_s_2,V_r_2,V_p_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__unfold,axiom, % 153.71/153.51 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__subset__Sigma,axiom, % 153.71/153.51 ! [V_A_2,V_r_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__Int__subset,axiom, % 153.71/153.51 ! [V_s_2,V_r_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm_Ofold__rec,axiom, % 153.71/153.51 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm_Ofold__insert__remove,axiom, % 153.71/153.51 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom, % 153.71/153.51 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 153.71/153.51 => c_Finite__Set_Ofun__left__comm(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm_Ofun__left__comm,axiom, % 153.71/153.51 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 153.71/153.51 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_y_2),V_z_2)) = hAPP(hAPP(V_f_2,V_y_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm,axiom, % 153.71/153.51 ! [T_b] : % 153.71/153.51 ( class_Groups_Oab__semigroup__mult(T_b) % 153.71/153.51 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm_Ofold__graph__determ,axiom, % 153.71/153.51 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 153.71/153.51 => V_y_2 = V_x_2 ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm_Ofun__comp__comm,axiom, % 153.71/153.51 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 153.71/153.51 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm_Ofold__fun__comm,axiom, % 153.71/153.51 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm_Ofold__equality,axiom, % 153.71/153.51 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 153.71/153.51 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm_Ofold__graph__fold,axiom, % 153.71/153.51 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm_Ofold__insert,axiom, % 153.71/153.51 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm_Ofold__insert2,axiom, % 153.71/153.51 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom, % 153.71/153.51 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => ? [B_y_H] : % 153.71/153.51 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H) % 153.71/153.51 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__insert,axiom, % 153.71/153.51 ! [V_r_2,V_x_2,V_y_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBC(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),V_y_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_r__into__rtrancl,axiom, % 153.71/153.51 ! [V_r_2,V_p_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl_Ortrancl__refl,axiom, % 153.71/153.51 ! [V_r_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__into__rtrancl,axiom, % 153.71/153.51 ! [V_r_2,V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 153.71/153.51 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 153.71/153.51 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__trans,axiom, % 153.71/153.51 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__idemp,axiom, % 153.71/153.51 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__rtrancl,axiom, % 153.71/153.51 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__Un__rtrancl,axiom, % 153.71/153.51 ! [V_S_2,V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) = c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__Un__subset,axiom, % 153.71/153.51 ! [V_S_2,V_R_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__mono,axiom, % 153.71/153.51 ! [V_s_2,V_r_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__subset,axiom, % 153.71/153.51 ! [V_S_2,V_R_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 153.71/153.51 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__subset__rtrancl,axiom, % 153.71/153.51 ! [V_s_2,V_r_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Image__closed__trancl,axiom, % 153.71/153.51 ! [V_X_2,V_r_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),V_X_2)),V_X_2)) % 153.71/153.51 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_in__rtrancl__UnI,axiom, % 153.71/153.51 ! [V_S_2,V_R_2,V_x_2,T_b] : % 153.71/153.51 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 153.71/153.51 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) ) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_r__comp__rtrancl__eq,axiom, % 153.71/153.51 ! [V_r_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__idemp__self__comp,axiom, % 153.71/153.51 ! [V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Range__rtrancl,axiom, % 153.71/153.51 ! [V_R_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Domain__rtrancl,axiom, % 153.71/153.51 ! [V_R_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__unfold__right,axiom, % 153.71/153.51 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__unfold__left,axiom, % 153.71/153.51 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__rtrancl__absorb,axiom, % 153.71/153.51 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Otrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__trancl__absorb,axiom, % 153.71/153.51 ! [V_R_2,T_b] : c_Transitive__Closure_Otrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__eq__or__trancl,axiom, % 153.71/153.51 ! [V_R_2,V_y_2,V_x_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 153.71/153.51 <=> ( V_x_2 = V_y_2 % 153.71/153.51 | ( V_x_2 != V_y_2 % 153.71/153.51 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__into__trancl2,axiom, % 153.71/153.51 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtranclD,axiom, % 153.71/153.51 ! [V_R_2,V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 153.71/153.51 => ( V_a_2 = V_b_2 % 153.71/153.51 | ( V_a_2 != V_b_2 % 153.71/153.51 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__into__trancl1,axiom, % 153.71/153.51 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__rtrancl__trancl,axiom, % 153.71/153.51 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__trancl__trancl,axiom, % 153.71/153.51 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Not__Domain__rtrancl,axiom, % 153.71/153.51 ! [V_y_2,V_R_2,V_x_2,T_b] : % 153.71/153.51 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 153.71/153.51 <=> V_x_2 = V_y_2 ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_acc__downwards,axiom, % 153.71/153.51 ! [V_b_2,V_r_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_acc__downwards__aux,axiom, % 153.71/153.51 ! [V_r_2,V_a_2,V_b_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__insert,axiom, % 153.71/153.51 ! [V_r_2,V_x_2,V_y_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) % 153.71/153.51 <=> ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.51 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_acyclic__insert,axiom, % 153.71/153.51 ! [V_r_2,V_x_2,V_y_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Oacyclic(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) % 153.71/153.51 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 153.71/153.51 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_pred__nat__trancl__eq__le,axiom, % 153.71/153.51 ! [V_na_2,V_m_2] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_na_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))) % 153.71/153.51 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__subset__Sigma__aux,axiom, % 153.71/153.51 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 153.71/153.51 => ( V_a_2 = V_b_2 % 153.71/153.51 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_irrefl__tranclI,axiom, % 153.71/153.51 ! [V_x_2,V_r_2,T_b] : % 153.71/153.51 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 153.71/153.51 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INFI__fold__inf,axiom, % 153.71/153.51 ! [V_f_2,V_A_2,T_b,T_c] : % 153.71/153.51 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),c_Orderings_Otop__class_Otop(T_c)),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__D,axiom, % 153.71/153.51 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__E,axiom, % 153.71/153.51 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 153.71/153.51 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INF1__D,axiom, % 153.71/153.51 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INF1__E,axiom, % 153.71/153.51 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 153.71/153.51 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INF2__D,axiom, % 153.71/153.51 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INF2__E,axiom, % 153.71/153.51 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 153.71/153.51 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 153.71/153.51 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__INT,axiom, % 153.71/153.51 ! [V_A_2,T_c,V_I_2,T_b] : % 153.71/153.51 ( ? [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 153.71/153.51 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 153.71/153.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__converse,axiom, % 153.71/153.51 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__converse__trancl,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 153.71/153.51 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__converse,axiom, % 153.71/153.51 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Range__def,axiom, % 153.71/153.51 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Domain__converse,axiom, % 153.71/153.51 ! [V_r_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) = hAPP(c_Relation_ORange(T_c,T_b),V_r_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Range__converse,axiom, % 153.71/153.51 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Collect__ball__eq,axiom, % 153.71/153.51 ! [V_Pa_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_Pa_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_Pa_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INFI__bool__eq,axiom, % 153.71/153.51 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Compl__UN,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Compl__INT,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__simps_I9_J,axiom, % 153.71/153.51 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__extend__simps_I9_J,axiom, % 153.71/153.51 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_converse__UNION,axiom, % 153.71/153.51 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_UN__extend__simps_I7_J,axiom, % 153.71/153.51 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_UN__simps_I7_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_vimage__INT,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__absorb,axiom, % 153.71/153.51 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 153.71/153.51 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INF__INT__eq2,axiom, % 153.71/153.51 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2)) % 153.71/153.51 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__iff,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 153.71/153.51 <=> ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_converse__inv__image,axiom, % 153.71/153.51 ! [V_f_2,V_R_2,T_c,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_c),V_R_2)),V_f_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Field__converse,axiom, % 153.71/153.51 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_OField(T_b),V_r_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_converse__Id__on,axiom, % 153.71/153.51 ! [V_A_2,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = c_Relation_OId__on(T_b,V_A_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INFI__apply,axiom, % 153.71/153.51 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 153.71/153.51 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.51 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INF__commute,axiom, % 153.71/153.51 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 153.71/153.51 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_converse__INTER,axiom, % 153.71/153.51 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_converse__converse,axiom, % 153.71/153.51 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = V_r_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_Pow__INT__eq,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b,T_c] : % 153.71/153.51 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 <=> ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 153.71/153.51 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b] : % 153.71/153.51 ( c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) % 153.71/153.51 <=> ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 153.71/153.51 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_converse__Int,axiom, % 153.71/153.51 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__Int__distrib,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INF__less__iff,axiom, % 153.71/153.51 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] : % 153.71/153.51 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.51 & class_Orderings_Olinorder(T_b) ) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_f_2)),V_a_2)) % 153.71/153.51 <=> ? [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 153.71/153.51 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_converse__iff,axiom, % 153.71/153.51 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 153.71/153.51 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_converseI,axiom, % 153.71/153.51 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_converseD,axiom, % 153.71/153.51 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INF__INT__eq,axiom, % 153.71/153.51 ! [V_x_2,V_r_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2)) % 153.71/153.51 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__converse,axiom, % 153.71/153.51 ! [V_r_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 153.71/153.51 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__on__converse,axiom, % 153.71/153.51 ! [V_r_2,V_A_2,T_b] : % 153.71/153.51 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 153.71/153.51 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__simps_I10_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__extend__simps_I10_J,axiom, % 153.71/153.51 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Image__INT__subset,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_d,V_r_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__Un,axiom, % 153.71/153.51 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__lower,axiom, % 153.71/153.51 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_le__INF__iff,axiom, % 153.71/153.51 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] : % 153.71/153.51 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_M_2))) % 153.71/153.51 <=> ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__insert__distrib,axiom, % 153.71/153.51 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__simps_I5_J,axiom, % 153.71/153.51 ! [V_B_2,V_a_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__extend__simps_I5_J,axiom, % 153.71/153.51 ! [V_B_2,V_C_2,T_c,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__simps_I7_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__simps_I6_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__extend__simps_I7_J,axiom, % 153.71/153.51 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Un__INT__distrib,axiom, % 153.71/153.51 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__extend__simps_I6_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Un__INT__distrib2,axiom, % 153.71/153.51 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__subset__iff,axiom, % 153.71/153.51 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))) % 153.71/153.51 <=> ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_converse__Un,axiom, % 153.71/153.51 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__insert,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_converse__rel__comp,axiom, % 153.71/153.51 ! [V_s_2,V_r_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_b),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_b),V_s_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__constant,axiom, % 153.71/153.51 ! [V_c_2,T_c,T_b,V_A_2] : % 153.71/153.51 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.51 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__empty,axiom, % 153.71/153.51 ! [V_B_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__extend__simps_I2_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 153.71/153.51 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 153.71/153.51 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__extend__simps_I1_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 153.71/153.51 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 ) % 153.71/153.51 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INF__const,axiom, % 153.71/153.51 ! [V_M_2,T_b,V_A_2,T_c] : % 153.71/153.51 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_acyclic__converse,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 153.71/153.51 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_equiv__comp__eq,axiom, % 153.71/153.51 ! [V_r_2,V_A_2,T_b] : % 153.71/153.51 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.51 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INF__subset,axiom, % 153.71/153.51 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.51 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INTER__def,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_member(T_b))),V_B_2)))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__simps_I2_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 153.71/153.51 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.51 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__simps_I1_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 153.71/153.51 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.51 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__extend__simps_I3_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 153.71/153.51 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_B_2) ) % 153.71/153.51 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__simps_I3_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 153.71/153.51 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.51 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__extend__simps_I4_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 153.71/153.51 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 153.71/153.51 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__converseD,axiom, % 153.71/153.51 ! [V_r_2,V_y_2,V_x_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__converseI,axiom, % 153.71/153.51 ! [V_r_2,V_x_2,V_y_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__converseD,axiom, % 153.71/153.51 ! [V_r_2,V_y_2,V_x_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__converseI,axiom, % 153.71/153.51 ! [V_r_2,V_y_2,V_x_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Image__subset__eq,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)),V_B_2)) % 153.71/153.51 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INF__leI,axiom, % 153.71/153.51 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 153.71/153.51 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__on__comp__subset,axiom, % 153.71/153.51 ! [V_r_2,V_A_2,T_b] : % 153.71/153.51 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_comp__equivI,axiom, % 153.71/153.51 ! [V_A_2,V_r_2,T_b] : % 153.71/153.51 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 % 153.71/153.51 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2 % 153.71/153.51 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_finite__acyclic__wf__converse,axiom, % 153.71/153.51 ! [V_r_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 153.71/153.51 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 153.71/153.51 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__greaterThan__UNIV,axiom, % 153.71/153.51 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INT__simps_I4_J,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 153.71/153.51 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 153.71/153.51 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.51 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_converse__def,axiom, % 153.71/153.51 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_r_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_inf__INFI__fold__inf,axiom, % 153.71/153.51 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 153.71/153.51 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 153.71/153.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.51 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_sequence__trans,axiom, % 153.71/153.51 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] : % 153.71/153.51 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_reflcl__set__eq,axiom, % 153.71/153.51 ! [V_y_2,V_x_2,V_r_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),c_fequal),V_x_2),V_y_2)) % 153.71/153.51 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_IdI,axiom, % 153.71/153.51 ! [V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Relation_OId(T_b))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INF2__iff,axiom, % 153.71/153.51 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 153.71/153.51 <=> ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_INF1__iff,axiom, % 153.71/153.51 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 153.71/153.51 <=> ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_converse__Id,axiom, % 153.71/153.51 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Id__O__R,axiom, % 153.71/153.51 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_c),c_Relation_OId(T_b)),V_R_2) = V_R_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_R__O__Id,axiom, % 153.71/153.51 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_c),V_R_2),c_Relation_OId(T_c)) = V_R_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_Image__Id,axiom, % 153.71/153.51 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_pair__in__Id__conv,axiom, % 153.71/153.51 ! [V_b_2,V_a_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId(T_b))) % 153.71/153.51 <=> V_a_2 = V_b_2 ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Domain__Id,axiom, % 153.71/153.51 ! [T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__empty,axiom, % 153.71/153.51 ! [T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Relation_OId(T_b) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Range__Id,axiom, % 153.71/153.51 ! [T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__reflcl,axiom, % 153.71/153.51 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__reflcl__absorb,axiom, % 153.71/153.51 ! [V_R_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__Id,axiom, % 153.71/153.51 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Relation_OId(T_b)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__r__diff__Id,axiom, % 153.71/153.51 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_pair__leq__def,axiom, % 153.71/153.51 c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool)),c_FunDef_Opair__less),c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_reflcl__trancl,axiom, % 153.71/153.51 ! [V_r_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_trancl__reflcl,axiom, % 153.71/153.51 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__unfold,axiom, % 153.71/153.51 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_refl__reflcl,axiom, % 153.71/153.51 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Id__def,axiom, % 153.71/153.51 ! [T_b] : c_Relation_OId(T_b) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_b),tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),tc_prod(T_b,T_b)),c_COMBB(tc_prod(T_b,T_b),tc_HOL_Obool,T_b)),c_fequal)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_irrefl__diff__Id,axiom, % 153.71/153.51 ! [V_r_2,T_b] : c_Relation_Oirrefl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__Int__subset,axiom, % 153.71/153.51 ! [V_r_2,V_s_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),V_s_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Image__INT__eq,axiom, % 153.71/153.51 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] : % 153.71/153.51 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) % 153.71/153.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) % 153.71/153.51 => hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_image__INT,axiom, % 153.71/153.51 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] : % 153.71/153.51 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 153.71/153.51 => ( ! [B_x] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2)) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) ) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2)) % 153.71/153.51 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_single__valued__Id,axiom, % 153.71/153.51 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_single__valued__Id__on,axiom, % 153.71/153.51 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_single__valued__subset,axiom, % 153.71/153.51 ! [V_s_2,V_r_2,T_c,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) % 153.71/153.51 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 153.71/153.51 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_single__valued__rel__comp,axiom, % 153.71/153.51 ! [V_s_2,T_d,V_r_2,T_c,T_b] : % 153.71/153.51 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 153.71/153.51 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2) % 153.71/153.51 => c_Relation_Osingle__valued(T_b,T_d,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_single__valuedD,axiom, % 153.71/153.51 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] : % 153.71/153.51 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_r_2)) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_z_2)),V_r_2)) % 153.71/153.51 => V_y_2 = V_z_2 ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_single__valued__def,axiom, % 153.71/153.51 ! [V_r_2,T_c,T_b] : % 153.71/153.51 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 153.71/153.51 <=> ! [B_x,B_y] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)),V_r_2)) % 153.71/153.51 => ! [B_z] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)),V_r_2)) % 153.71/153.51 => B_y = B_z ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_single__valued__confluent,axiom, % 153.71/153.51 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 153.71/153.51 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.51 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_Image__Int__eq,axiom, % 153.71/153.51 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : % 153.71/153.51 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2)) % 153.71/153.51 => hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_total__on__diff__Id,axiom, % 153.71/153.51 ! [V_r_2,V_A_2,T_b] : % 153.71/153.51 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) % 153.71/153.51 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 153.71/153.51 ! [V_R_2,V_p_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_relpow_Osimps_I1_J,axiom, % 153.71/153.51 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_b) ). % 153.71/153.51 % 153.71/153.51 fof(fact_single__valued__rel__pow,axiom, % 153.71/153.51 ! [V_na_2,V_R_2,T_b] : % 153.71/153.51 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2) % 153.71/153.51 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__pow__imp__rtrancl,axiom, % 153.71/153.51 ! [V_R_2,V_na_2,V_p_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 153.71/153.51 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rtrancl__power,axiom, % 153.71/153.51 ! [V_R_2,V_p_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 153.71/153.51 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_comp__funpow,axiom, % 153.71/153.51 ! [V_f_2,V_na_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_na_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_na_2),V_f_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_funpow__swap1,axiom, % 153.71/153.51 ! [V_x_2,V_na_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2),hAPP(V_f_2,V_x_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_funpow__mult,axiom, % 153.71/153.51 ! [V_f_2,V_m_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)),V_f_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_wf__exp,axiom, % 153.71/153.51 ! [V_R_2,V_na_2,T_b] : % 153.71/153.51 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) % 153.71/153.51 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__pow__1,axiom, % 153.71/153.51 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__pow__add,axiom, % 153.71/153.51 ! [V_R_2,V_na_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__pow__commute,axiom, % 153.71/153.51 ! [V_na_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)),V_R_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_relpow_Osimps_I2_J,axiom, % 153.71/153.51 ! [V_R_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)),V_R_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_total__on__empty,axiom, % 153.71/153.51 ! [V_r_2,T_b] : c_Relation_Ototal__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_r_2) ). % 153.71/153.51 % 153.71/153.51 fof(fact_total__on__converse,axiom, % 153.71/153.51 ! [V_r_2,V_A_2,T_b] : % 153.71/153.51 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 153.71/153.51 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__pow__0__E,axiom, % 153.71/153.51 ! [V_R_2,V_y_2,V_x_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) % 153.71/153.51 => V_x_2 = V_y_2 ) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__pow__0__I,axiom, % 153.71/153.51 ! [V_R_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ). % 153.71/153.51 % 153.71/153.51 fof(fact_rel__pow__Suc__I,axiom, % 153.71/153.51 ! [V_z_2,V_R_2,V_na_2,V_y_2,V_x_2,T_b] : % 153.71/153.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 153.71/153.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_R_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rel__pow__Suc__I2,axiom, % 153.71/153.52 ! [V_na_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2)) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_funpow_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_f_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_na_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_funpow__add,axiom, % 153.71/153.52 ! [V_f_2,V_na_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_funpow_Osimps_I1_J,axiom, % 153.71/153.52 ! [V_f_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_b) ). % 153.71/153.52 % 153.71/153.52 fof(fact_trancl__power,axiom, % 153.71/153.52 ! [V_R_2,V_p_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 153.71/153.52 <=> ? [B_n] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 153.71/153.52 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_total__on__def,axiom, % 153.71/153.52 ! [V_r_2,V_A_2,T_b] : % 153.71/153.52 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2) % 153.71/153.52 <=> ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.52 => ! [B_xa] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 153.71/153.52 => ( B_x != B_xa % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2)) % 153.71/153.52 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_xa),B_x)),V_r_2)) ) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 153.71/153.52 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_funpow__code__def,axiom, % 153.71/153.52 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rel__pow__E,axiom, % 153.71/153.52 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 153.71/153.52 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => V_x_2 != V_z_2 ) % 153.71/153.52 => ~ ! [B_y,B_m] : % 153.71/153.52 ( V_na_2 = hAPP(c_Nat_OSuc,B_m) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) % 153.71/153.52 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rel__pow__E2,axiom, % 153.71/153.52 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 153.71/153.52 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => V_x_2 != V_z_2 ) % 153.71/153.52 => ~ ! [B_y,B_m] : % 153.71/153.52 ( V_na_2 = hAPP(c_Nat_OSuc,B_m) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 153.71/153.52 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inf__fold__inf,axiom, % 153.71/153.52 ! [V_A_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_finite__Inter,axiom, % 153.71/153.52 ! [V_M_2,T_b] : % 153.71/153.52 ( ? [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2)) % 153.71/153.52 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 153.71/153.52 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_InterE,axiom, % 153.71/153.52 ! [V_X_2,V_C_2,V_A_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_InterD,axiom, % 153.71/153.52 ! [V_X_2,V_C_2,V_A_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Un__Inter,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inter__insert,axiom, % 153.71/153.52 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_le__Inf__iff,axiom, % 153.71/153.52 ! [V_A_2,V_b_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2))) % 153.71/153.52 <=> ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inter__lower,axiom, % 153.71/153.52 ! [V_A_2,V_B_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inf__less__iff,axiom, % 153.71/153.52 ! [V_a_2,V_S_2,T_b] : % 153.71/153.52 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 & class_Orderings_Olinorder(T_b) ) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2)) % 153.71/153.52 <=> ? [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 153.71/153.52 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inter__eq,axiom, % 153.71/153.52 ! [V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inter__empty,axiom, % 153.71/153.52 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inter__anti__mono,axiom, % 153.71/153.52 ! [V_A_2,V_B_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inter__UNIV,axiom, % 153.71/153.52 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inf__lower,axiom, % 153.71/153.52 ! [V_A_2,V_x_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)),V_x_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inter__Un__distrib,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inf__singleton,axiom, % 153.71/153.52 ! [V_a_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inf__empty,axiom, % 153.71/153.52 ! [T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inf__UNIV,axiom, % 153.71/153.52 ! [T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inf__insert,axiom, % 153.71/153.52 ! [V_A_2,V_a_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_INTER__eq__Inter__image,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inter__image__eq,axiom, % 153.71/153.52 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Int__eq__Inter,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Int__Inter__image,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inter__Un__subset,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inf__binary,axiom, % 153.71/153.52 ! [V_b_2,V_a_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_inf__Inf__fold__inf,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inf__fin__Inf,axiom, % 153.71/153.52 ! [V_A_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.52 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inf__Sup,axiom, % 153.71/153.52 ! [V_A_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_b))))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Sup__Inf,axiom, % 153.71/153.52 ! [V_A_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b)))))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_UnionI,axiom, % 153.71/153.52 ! [V_A_2,V_C_2,V_X_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inter__def,axiom, % 153.71/153.52 ! [V_S_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Domain__Union,axiom, % 153.71/153.52 ! [V_S_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_b,T_c)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Range__Union,axiom, % 153.71/153.52 ! [V_S_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_c,T_b)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Sigma__Union,axiom, % 153.71/153.52 ! [V_B_2,V_X_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Product__Type_OSigma(T_b,T_c)),V_B_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Int__Union2,axiom, % 153.71/153.52 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Int__Union,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_UN__extend__simps_I8_J,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_UN__simps_I8_J,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_vimage__Union,axiom, % 153.71/153.52 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_b,T_c,V_f_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_image__Union,axiom, % 153.71/153.52 ! [V_S_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_c,T_b,V_f_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_INT__simps_I8_J,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_INT__extend__simps_I8_J,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_finite__UnionD,axiom, % 153.71/153.52 ! [V_A_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) % 153.71/153.52 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Union__quotient,axiom, % 153.71/153.52 ! [V_r_2,V_A_2,T_b] : % 153.71/153.52 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.52 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = V_A_2 ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Union__mono,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_less__Sup__iff,axiom, % 153.71/153.52 ! [V_S_2,V_a_2,T_b] : % 153.71/153.52 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 & class_Orderings_Olinorder(T_b) ) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2))) % 153.71/153.52 <=> ? [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 153.71/153.52 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Union__Pow__eq,axiom, % 153.71/153.52 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OPow(T_b),V_A_2)) = V_A_2 ). % 153.71/153.52 % 153.71/153.52 fof(fact_Field__Union,axiom, % 153.71/153.52 ! [V_R_2,T_b] : hAPP(c_Relation_OField(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Relation_OField(T_b)),V_R_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Sup__le__iff,axiom, % 153.71/153.52 ! [V_b_2,V_A_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_b_2)) % 153.71/153.52 <=> ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Union__upper,axiom, % 153.71/153.52 ! [V_A_2,V_B_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Union__disjoint,axiom, % 153.71/153.52 ! [V_A_2,V_C_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.52 <=> ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2)) % 153.71/153.52 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Union__empty,axiom, % 153.71/153.52 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_subset__Pow__Union,axiom, % 153.71/153.52 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Union__Un__distrib,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Union__UNIV,axiom, % 153.71/153.52 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Union__insert,axiom, % 153.71/153.52 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_UNION__eq__Union__image,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Union__image__eq,axiom, % 153.71/153.52 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Sup__upper,axiom, % 153.71/153.52 ! [V_A_2,V_x_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Sup__empty,axiom, % 153.71/153.52 ! [T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Sup__singleton,axiom, % 153.71/153.52 ! [V_a_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Sup__insert,axiom, % 153.71/153.52 ! [V_A_2,V_a_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Sup__UNIV,axiom, % 153.71/153.52 ! [T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Un__eq__Union,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Un__Union__image,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Union__Int__subset,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Sup__binary,axiom, % 153.71/153.52 ! [V_b_2,V_a_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sup__Sup__fold__sup,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_B_2),V_A_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Sup__fin__Sup,axiom, % 153.71/153.52 ! [V_A_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.52 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Sup__fold__sup,axiom, % 153.71/153.52 ! [V_A_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_inj__on__Inter,axiom, % 153.71/153.52 ! [V_f_2,T_c,T_b,V_S_2] : % 153.71/153.52 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 153.71/153.52 => ( ! [B_A] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2)) % 153.71/153.52 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) ) % 153.71/153.52 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inter__subset,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b] : % 153.71/153.52 ( ! [B_X] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) ) % 153.71/153.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Union__def,axiom, % 153.71/153.52 ! [V_S_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_finite__Union,axiom, % 153.71/153.52 ! [V_A_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) % 153.71/153.52 => ( ! [B_M] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) ) % 153.71/153.52 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_insert__partition,axiom, % 153.71/153.52 ! [V_F_2,V_x_2,T_b] : % 153.71/153.52 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)) % 153.71/153.52 => ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))) % 153.71/153.52 => ! [B_xa] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))) % 153.71/153.52 => ( B_x != B_xa % 153.71/153.52 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) % 153.71/153.52 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_card__partition,axiom, % 153.71/153.52 ! [V_k_2,V_C_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 153.71/153.52 => ( ! [B_c] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2)) % 153.71/153.52 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 ) % 153.71/153.52 => ( ! [B_c1] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2)) % 153.71/153.52 => ! [B_c2] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2)) % 153.71/153.52 => ( B_c1 != B_c2 % 153.71/153.52 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) % 153.71/153.52 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_inj__on__INTER,axiom, % 153.71/153.52 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] : % 153.71/153.52 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.52 => ( ! [B_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2)) % 153.71/153.52 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) ) % 153.71/153.52 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom, % 153.71/153.52 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_v_2)) % 153.71/153.52 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.52 => ~ ! [B_y] : % 153.71/153.52 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y) % 153.71/153.52 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_acyclicI,axiom, % 153.71/153.52 ! [V_r_2,T_b] : % 153.71/153.52 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 153.71/153.52 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rtrancl__Un__separator__converseE,axiom, % 153.71/153.52 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Qa_2)))) % 153.71/153.52 => ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) % 153.71/153.52 => ! [B_y] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Qa_2)) % 153.71/153.52 => B_y = B_x ) ) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rtrancl__Un__separatorE,axiom, % 153.71/153.52 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Qa_2)))) % 153.71/153.52 => ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) % 153.71/153.52 => ! [B_y] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Qa_2)) % 153.71/153.52 => B_x = B_y ) ) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rel__pow__Suc__D2,axiom, % 153.71/153.52 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2))) % 153.71/153.52 => ? [B_y] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 153.71/153.52 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rel__pow__Suc__E2,axiom, % 153.71/153.52 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2))) % 153.71/153.52 => ~ ! [B_y] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 153.71/153.52 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rel__pow__Suc__E,axiom, % 153.71/153.52 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2))) % 153.71/153.52 => ~ ! [B_y] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) % 153.71/153.52 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_tranclD,axiom, % 153.71/153.52 ! [V_R_2,V_y_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 153.71/153.52 => ? [B_z] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2)) % 153.71/153.52 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_tranclD2,axiom, % 153.71/153.52 ! [V_R_2,V_y_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 153.71/153.52 => ? [B_z] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 153.71/153.52 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),V_R_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_min__max_Ofold__sup__le__sup,axiom, % 153.71/153.52 ! [V_c_2,V_b_2,V_A_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_c_2))) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_min__max_Oinf__le__fold__inf,axiom, % 153.71/153.52 ! [V_c_2,V_b_2,V_A_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_c_2),V_A_2))) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_InterI,axiom, % 153.71/153.52 ! [V_A_2,V_C_2,T_b] : % 153.71/153.52 ( ! [B_X] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) ) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_inf__le__fold__inf,axiom, % 153.71/153.52 ! [V_c_2,V_b_2,V_A_2,T_b] : % 153.71/153.52 ( class_Lattices_Osemilattice__inf(T_b) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_c_2),V_A_2))) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_fold__sup__le__sup,axiom, % 153.71/153.52 ! [V_c_2,V_b_2,V_A_2,T_b] : % 153.71/153.52 ( class_Lattices_Osemilattice__sup(T_b) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_b_2),V_c_2))) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_IdE,axiom, % 153.71/153.52 ! [V_p_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b))) % 153.71/153.52 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_wf__eq__minimal,axiom, % 153.71/153.52 ! [V_r_2,T_b] : % 153.71/153.52 ( c_Wellfounded_Owf(T_b,V_r_2) % 153.71/153.52 <=> ! [B_Q] : % 153.71/153.52 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 153.71/153.52 => ? [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 153.71/153.52 & ! [B_y] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) % 153.71/153.52 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_folding__image__simple__idem_Ounion__idem,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 153.71/153.52 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transfer__nat__int__set__cong,axiom, % 153.71/153.52 ! [V_P_H_2,V_Pa_2] : % 153.71/153.52 ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 153.71/153.52 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 153.71/153.52 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 153.71/153.52 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_folding__image__simple__idem_Oidem,axiom, % 153.71/153.52 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 153.71/153.52 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_folding__image__simple__idem_Oin__idem,axiom, % 153.71/153.52 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 153.71/153.52 => hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom, % 153.71/153.52 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.52 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_folding__image__simple__idem_Osubset__idem,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) % 153.71/153.52 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Int__Collect__mono,axiom, % 153.71/153.52 ! [V_Qa_2,V_Pa_2,V_B_2,V_A_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.52 => ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 153.71/153.52 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 153.71/153.52 => hBOOL(hAPP(V_Qa_2,B_x)) ) ) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Qa_2)))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_UnionE,axiom, % 153.71/153.52 ! [V_C_2,V_A_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 153.71/153.52 => ~ ! [B_X] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) % 153.71/153.52 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__upd__left,axiom, % 153.71/153.52 ! [V_u1_2,V_e1_2,V_e2_2,T_c,V_m_2,T_b] : % 153.71/153.52 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_m_2),c_Map_Odom(T_b,T_c,V_e2_2))) % 153.71/153.52 => c_Map_Omap__add(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_e1_2),V_m_2),hAPP(c_Option_Ooption_OSome(T_c),V_u1_2)),V_e2_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Omap__add(T_b,T_c,V_e1_2,V_e2_2)),V_m_2),hAPP(c_Option_Ooption_OSome(T_c),V_u1_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rel__compE,axiom, % 153.71/153.52 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2))) % 153.71/153.52 => ~ ! [B_x,B_y,B_z] : % 153.71/153.52 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),B_x),B_y)),V_r_2)) % 153.71/153.52 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_y),B_z)),V_s_2)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__Some__iff,axiom, % 153.71/153.52 ! [V_x_2,V_k_2,V_na_2,V_m_2,T_b,T_c] : % 153.71/153.52 ( hAPP(c_Map_Omap__add(T_c,T_b,V_m_2,V_na_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_x_2) % 153.71/153.52 <=> ( hAPP(V_na_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_x_2) % 153.71/153.52 | ( hAPP(V_na_2,V_k_2) = c_Option_Ooption_ONone(T_b) % 153.71/153.52 & hAPP(V_m_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_x_2) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__SomeD,axiom, % 153.71/153.52 ! [V_x_2,V_k_2,V_na_2,V_m_2,T_b,T_c] : % 153.71/153.52 ( hAPP(c_Map_Omap__add(T_c,T_b,V_m_2,V_na_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_x_2) % 153.71/153.52 => ( hAPP(V_na_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_x_2) % 153.71/153.52 | ( hAPP(V_na_2,V_k_2) = c_Option_Ooption_ONone(T_b) % 153.71/153.52 & hAPP(V_m_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_x_2) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__dom__app__simps_I1_J,axiom, % 153.71/153.52 ! [V_l1_2,V_l2_2,T_c,V_m_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_m_2),c_Map_Odom(T_b,T_c,V_l2_2))) % 153.71/153.52 => hAPP(c_Map_Omap__add(T_b,T_c,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l2_2,V_m_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__dom__app__simps_I3_J,axiom, % 153.71/153.52 ! [V_l1_2,V_l2_2,T_c,V_m_2,T_b] : % 153.71/153.52 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_m_2),c_Map_Odom(T_b,T_c,V_l2_2))) % 153.71/153.52 => hAPP(c_Map_Omap__add(T_b,T_c,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l1_2,V_m_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__dom__app__simps_I2_J,axiom, % 153.71/153.52 ! [V_l2_2,V_l1_2,T_c,V_m_2,T_b] : % 153.71/153.52 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_m_2),c_Map_Odom(T_b,T_c,V_l1_2))) % 153.71/153.52 => hAPP(c_Map_Omap__add(T_b,T_c,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l2_2,V_m_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__def,axiom, % 153.71/153.52 ! [V_x_2,V_m2_2,V_m1_2,T_b,T_c] : hAPP(c_Map_Omap__add(T_c,T_b,V_m1_2,V_m2_2),V_x_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_b),T_b,hAPP(V_m1_2,V_x_2),c_Option_Ooption_OSome(T_b)),hAPP(V_m2_2,V_x_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_empty__map__add,axiom, % 153.71/153.52 ! [V_m_2,T_c,T_b] : c_Map_Omap__add(T_b,T_c,hAPP(c_COMBK(tc_Option_Ooption(T_c),T_b),c_Option_Ooption_ONone(T_c)),V_m_2) = V_m_2 ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__empty,axiom, % 153.71/153.52 ! [V_m_2,T_c,T_b] : c_Map_Omap__add(T_b,T_c,V_m_2,hAPP(c_COMBK(tc_Option_Ooption(T_c),T_b),c_Option_Ooption_ONone(T_c))) = V_m_2 ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__None,axiom, % 153.71/153.52 ! [V_k_2,V_na_2,V_m_2,T_b,T_c] : % 153.71/153.52 ( hAPP(c_Map_Omap__add(T_c,T_b,V_m_2,V_na_2),V_k_2) = c_Option_Ooption_ONone(T_b) % 153.71/153.52 <=> ( hAPP(V_na_2,V_k_2) = c_Option_Ooption_ONone(T_b) % 153.71/153.52 & hAPP(V_m_2,V_k_2) = c_Option_Ooption_ONone(T_b) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__find__right,axiom, % 153.71/153.52 ! [V_m_2,T_c,V_xx_2,T_b,V_k_2,V_na_2] : % 153.71/153.52 ( hAPP(V_na_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_xx_2) % 153.71/153.52 => hAPP(c_Map_Omap__add(T_c,T_b,V_m_2,V_na_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_xx_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__assoc,axiom, % 153.71/153.52 ! [V_m3_2,V_m2_2,V_m1_2,T_c,T_b] : c_Map_Omap__add(T_b,T_c,V_m1_2,c_Map_Omap__add(T_b,T_c,V_m2_2,V_m3_2)) = c_Map_Omap__add(T_b,T_c,c_Map_Omap__add(T_b,T_c,V_m1_2,V_m2_2),V_m3_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__upd,axiom, % 153.71/153.52 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_c,T_b] : c_Map_Omap__add(T_b,T_c,V_f_2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_g_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Omap__add(T_b,T_c,V_f_2,V_g_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_dom__map__add,axiom, % 153.71/153.52 ! [V_na_2,V_m_2,T_c,T_b] : c_Map_Odom(T_b,T_c,c_Map_Omap__add(T_b,T_c,V_m_2,V_na_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_c,V_na_2)),c_Map_Odom(T_b,T_c,V_m_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_inj__on__map__add__dom,axiom, % 153.71/153.52 ! [V_m_H_2,V_m_2,T_c,T_b] : % 153.71/153.52 ( c_Fun_Oinj__on(T_b,tc_Option_Ooption(T_c),c_Map_Omap__add(T_b,T_c,V_m_2,V_m_H_2),c_Map_Odom(T_b,T_c,V_m_H_2)) % 153.71/153.52 <=> c_Fun_Oinj__on(T_b,tc_Option_Ooption(T_c),V_m_H_2,c_Map_Odom(T_b,T_c,V_m_H_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__comm,axiom, % 153.71/153.52 ! [V_m2_2,V_m1_2,T_c,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_c,V_m1_2)),c_Map_Odom(T_b,T_c,V_m2_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.52 => c_Map_Omap__add(T_b,T_c,V_m1_2,V_m2_2) = c_Map_Omap__add(T_b,T_c,V_m2_2,V_m1_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_finite__range__map__of__map__add,axiom, % 153.71/153.52 ! [V_l_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),hAPP(c_Set_Oimage(T_c,tc_Option_Ooption(T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) % 153.71/153.52 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),hAPP(c_Set_Oimage(T_c,tc_Option_Ooption(T_b),c_Map_Omap__add(T_c,T_b,V_f_2,c_Map_Omap__of(T_c,T_b,V_l_2))),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_converseE,axiom, % 153.71/153.52 ! [V_r_2,V_yx_2,T_c,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_yx_2),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 153.71/153.52 => ~ ! [B_x,B_y] : % 153.71/153.52 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x) % 153.71/153.52 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),B_y)),V_r_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_finite__dom__map__of,axiom, % 153.71/153.52 ! [V_l_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Map_Odom(T_b,T_c,c_Map_Omap__of(T_b,T_c,V_l_2)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_finite__range__map__of,axiom, % 153.71/153.52 ! [V_xys_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),hAPP(c_Set_Oimage(T_c,tc_Option_Ooption(T_b),c_Map_Omap__of(T_c,T_b,V_xys_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__map__of__foldr,axiom, % 153.71/153.52 ! [V_ps_2,V_m_2,T_c,T_b] : c_Map_Omap__add(T_b,T_c,V_m_2,c_Map_Omap__of(T_b,T_c,V_ps_2)) = c_List_Ofoldr(tc_prod(T_b,T_c),tc_fun(T_b,tc_Option_Ooption(T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_Option_Ooption(T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_Option_Ooption(T_c))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_c),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_Option_Ooption(T_c)))),tc_fun(tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_Option_Ooption(T_c))))),T_b),c_COMBB(tc_Option_Ooption(T_c),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_Option_Ooption(T_c))),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(tc_Option_Ooption(T_c),tc_fun(T_b,tc_Option_Ooption(T_c)))),tc_fun(tc_Option_Ooption(T_c),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_Option_Ooption(T_c)))),T_b),c_COMBC(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_Option_Ooption(T_c),tc_fun(T_b,tc_Option_Ooption(T_c)))),hAPP(c_COMBC(tc_fun(T_b,tc_Option_Ooption(T_c)),T_b,tc_fun(tc_Option_Ooption(T_c),tc_fun(T_b,tc_Option_Ooption(T_c)))),c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)))))),c_Option_Ooption_OSome(T_c))),V_ps_2,V_m_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_,axiom, % 153.71/153.52 ! [V_y_2,V_x_2,T_b] : c_Smallcheck_Oorelse(T_b,V_x_2,V_y_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_b),T_b,V_y_2,c_Option_Ooption_OSome(T_b)),V_x_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_full__small__int__def,axiom, % 153.71/153.52 ! [V_d_2,V_f_2] : c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint,V_f_2,V_d_2) = c_Smallcheck_Ofull__small_H(V_f_2,hAPP(c_Code__Numeral_Oint__of,V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,V_d_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_small_H_Osimps,axiom, % 153.71/153.52 ! [V_f_2,V_i_2,V_d_2] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 153.71/153.52 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 153.71/153.52 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(V_f_2,V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(V_f_2,V_i_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_small_H_Opsimps,axiom, % 153.71/153.52 ! [V_i_2,V_d_2,V_f_2] : % 153.71/153.52 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),V_f_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2)))) % 153.71/153.52 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 153.71/153.52 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 153.71/153.52 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(V_f_2,V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(V_f_2,V_i_2)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_small__int__def,axiom, % 153.71/153.52 ! [V_d_2,V_f_2] : hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint),V_f_2),V_d_2) = c_Smallcheck_Osmall_H(V_f_2,hAPP(c_Code__Numeral_Oint__of,V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,V_d_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_small__prod__def,axiom, % 153.71/153.52 ! [V_d_2,V_f_2,T_b,T_c] : % 153.71/153.52 ( ( class_Smallcheck_Osmall(T_c) % 153.71/153.52 & class_Smallcheck_Osmall(T_b) ) % 153.71/153.52 => hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(T_b,T_c)),V_f_2),V_d_2) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(T_b),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),T_b),c_Smallcheck_Osmall__class_Osmall(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c)))),V_d_2)),V_d_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_small_H_Opinduct,axiom, % 153.71/153.52 ! [V_Pa_2,V_a2_2,V_a1_2,V_a0_2] : % 153.71/153.52 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),V_a0_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a1_2),V_a2_2)))) % 153.71/153.52 => ( ! [B_f,B_d,B_i] : % 153.71/153.52 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),B_f),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i)))) % 153.71/153.52 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i)) % 153.71/153.52 => ( hAPP(B_f,B_i) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) % 153.71/153.52 => hBOOL(hAPP(hAPP(hAPP(V_Pa_2,B_f),B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) % 153.71/153.52 => hBOOL(hAPP(hAPP(hAPP(V_Pa_2,B_f),B_d),B_i)) ) ) % 153.71/153.52 => hBOOL(hAPP(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2),V_a2_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_body__def,axiom, % 153.71/153.52 c_Com_Obody = c_Map_Omap__of(tc_Com_Opname,tc_Com_Ocom,c_Com_Obodies) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__mapk__SomeI,axiom, % 153.71/153.52 ! [V_x_2,V_k_2,V_t_2,T_d,V_f_2,T_c,T_b] : % 153.71/153.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.52 => ( hAPP(c_Map_Omap__of(T_b,T_d,V_t_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_d),V_x_2) % 153.71/153.52 => hAPP(c_Map_Omap__of(T_c,T_d,hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_c,T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_c,T_d)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_b),c_Product__Type_OPair(T_c,T_d)),V_f_2))),V_t_2)),hAPP(V_f_2,V_k_2)) = hAPP(c_Option_Ooption_OSome(T_d),V_x_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__comp__def,axiom, % 153.71/153.52 ! [V_k_2,V_g_2,V_f_2,T_d,T_b,T_c] : c_Map_Omap__comp(T_c,T_b,T_d,V_f_2,V_g_2,V_k_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_b),T_c,c_Option_Ooption_ONone(T_b),V_f_2),hAPP(V_g_2,V_k_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_inj__mapI,axiom, % 153.71/153.52 ! [V_f_2,T_c,T_b] : % 153.71/153.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.52 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__comp__simps_I1_J,axiom, % 153.71/153.52 ! [V_m1_2,T_c,T_d,T_b,V_k_2,V_m2_2] : % 153.71/153.52 ( hAPP(V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_b) % 153.71/153.52 => c_Map_Omap__comp(T_b,T_d,T_c,V_m1_2,V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_d) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__comp__simps_I2_J,axiom, % 153.71/153.52 ! [V_m1_2,T_c,T_d,V_k_H_2,T_b,V_k_2,V_m2_2] : % 153.71/153.52 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_k_H_2) % 153.71/153.52 => c_Map_Omap__comp(T_b,T_d,T_c,V_m1_2,V_m2_2,V_k_2) = hAPP(V_m1_2,V_k_H_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__comp__Some__iff,axiom, % 153.71/153.52 ! [V_v_2,V_k_2,V_m2_2,V_m1_2,T_d,T_b,T_c] : % 153.71/153.52 ( c_Map_Omap__comp(T_c,T_b,T_d,V_m1_2,V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_v_2) % 153.71/153.52 <=> ? [B_k_H] : % 153.71/153.52 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_c),B_k_H) % 153.71/153.52 & hAPP(V_m1_2,B_k_H) = hAPP(c_Option_Ooption_OSome(T_b),V_v_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_List_Omap_Oidentity,axiom, % 153.71/153.52 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_List_Omap_Oid,axiom, % 153.71/153.52 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__ident,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__injective,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 153.71/153.52 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2) % 153.71/153.52 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 153.71/153.52 => V_xs_2 = V_ys_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_inj__mapD,axiom, % 153.71/153.52 ! [V_f_2,T_c,T_b] : % 153.71/153.52 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) % 153.71/153.52 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_inj__map__eq__map,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 153.71/153.52 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2) % 153.71/153.52 <=> V_xs_2 = V_ys_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_inj__map,axiom, % 153.71/153.52 ! [V_f_2,T_c,T_b] : % 153.71/153.52 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) % 153.71/153.52 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_List_Omap_Ocomp,axiom, % 153.71/153.52 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__comp__map,axiom, % 153.71/153.52 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_List_Omap_Ocompositionality,axiom, % 153.71/153.52 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__map,axiom, % 153.71/153.52 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldr__map,axiom, % 153.71/153.52 ! [V_a_2,V_xs_2,V_f_2,T_d,V_g_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_g_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_d,T_b,hAPP(c_Fun_Ocomp(T_c,tc_fun(T_b,T_b),T_d,V_g_2),V_f_2),V_xs_2,V_a_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__comp__empty_I2_J,axiom, % 153.71/153.52 ! [V_x_2,V_m_2,T_d,T_b,T_c] : c_Map_Omap__comp(T_c,T_b,T_d,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b)),V_m_2,V_x_2) = c_Option_Ooption_ONone(T_b) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__comp__empty_I1_J,axiom, % 153.71/153.52 ! [V_x_2,V_m_2,T_d,T_b,T_c] : c_Map_Omap__comp(T_c,T_b,T_d,V_m_2,hAPP(c_COMBK(tc_Option_Ooption(T_c),T_d),c_Option_Ooption_ONone(T_c)),V_x_2) = c_Option_Ooption_ONone(T_b) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__comp__None__iff,axiom, % 153.71/153.52 ! [V_k_2,V_m2_2,V_m1_2,T_d,T_b,T_c] : % 153.71/153.52 ( c_Map_Omap__comp(T_c,T_b,T_d,V_m1_2,V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_b) % 153.71/153.52 <=> ( hAPP(V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_c) % 153.71/153.52 | ? [B_k_H] : % 153.71/153.52 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_c),B_k_H) % 153.71/153.52 & hAPP(V_m1_2,B_k_H) = c_Option_Ooption_ONone(T_b) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__map,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_d,T_c,T_b] : c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),V_xs_2)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_d),tc_Option_Ooption(T_c),T_b,hAPP(c_Option_Omap(T_d,T_c),V_f_2)),c_Map_Omap__of(T_b,T_d,V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__map__keys,axiom, % 153.71/153.52 ! [V_m_2,T_c,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Map_Odom(T_b,T_c,V_m_2) % 153.71/153.52 => c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_c),T_c,T_b),c_Option_Othe(T_c)),V_m_2))),V_xs_2)) = V_m_2 ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_finite__set,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__map,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__eq__conv,axiom, % 153.71/153.52 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] : % 153.71/153.52 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2) % 153.71/153.52 <=> ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2))) % 153.71/153.52 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_option__map__comp,axiom, % 153.71/153.52 ! [V_opt_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_Option_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_Option_Omap(T_d,T_c),V_g_2),V_opt_2)) = hAPP(hAPP(c_Option_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_opt_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Option_Omap_Ocompositionality,axiom, % 153.71/153.52 ! [V_option_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_Option_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_Option_Omap(T_d,T_c),V_g_2),V_option_2)) = hAPP(hAPP(c_Option_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_option_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Option_Omap_Ocomp,axiom, % 153.71/153.52 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_d),tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),hAPP(c_Option_Omap(T_d,T_c),V_f_2)),hAPP(c_Option_Omap(T_b,T_d),V_g_2)) = hAPP(c_Option_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_option__map__o__sum__case,axiom, % 153.71/153.52 ! [V_h_2,V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_e),tc_Option_Ooption(T_d),tc_sum(T_b,T_c),hAPP(c_Option_Omap(T_e,T_d),V_f_2)),c_Sum__Type_Osum_Osum__case(T_b,tc_Option_Ooption(T_e),T_c,V_g_2,V_h_2)) = c_Sum__Type_Osum_Osum__case(T_b,tc_Option_Ooption(T_d),T_c,hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_e),tc_Option_Ooption(T_d),T_b,hAPP(c_Option_Omap(T_e,T_d),V_f_2)),V_g_2),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_e),tc_Option_Ooption(T_d),T_c,hAPP(c_Option_Omap(T_e,T_d),V_f_2)),V_h_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_dom__option__map,axiom, % 153.71/153.52 ! [V_m_2,V_f_2,T_d,T_c,T_b] : c_Map_Odom(T_b,T_c,hAPP(hAPP(c_COMBS(T_b,tc_Option_Ooption(T_d),tc_Option_Ooption(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_c),tc_fun(tc_Option_Ooption(T_d),tc_Option_Ooption(T_c)),T_b),c_Option_Omap(T_d,T_c)),V_f_2)),V_m_2)) = c_Map_Odom(T_b,T_d,V_m_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_infinite__UNIV__listI,axiom, % 153.71/153.52 ! [T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Option_Omap_Oidentity,axiom, % 153.71/153.52 ! [T_b] : hAPP(c_Option_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_Option_Ooption(T_b)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Option_Omap_Oid,axiom, % 153.71/153.52 ! [T_b] : hAPP(c_Option_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_Option_Ooption(T_b)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_option__map__eq__Some,axiom, % 153.71/153.52 ! [V_y_2,V_xo_2,V_f_2,T_b,T_c] : % 153.71/153.52 ( hAPP(hAPP(c_Option_Omap(T_c,T_b),V_f_2),V_xo_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) % 153.71/153.52 <=> ? [B_z] : % 153.71/153.52 ( V_xo_2 = hAPP(c_Option_Ooption_OSome(T_c),B_z) % 153.71/153.52 & hAPP(V_f_2,B_z) = V_y_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_option__map__Some,axiom, % 153.71/153.52 ! [V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Option_Omap(T_c,T_b),V_f_2),hAPP(c_Option_Ooption_OSome(T_c),V_x_2)) = hAPP(c_Option_Ooption_OSome(T_b),hAPP(V_f_2,V_x_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_option__map__is__None,axiom, % 153.71/153.52 ! [V_opt_2,V_f_2,T_b,T_c] : % 153.71/153.52 ( hAPP(hAPP(c_Option_Omap(T_c,T_b),V_f_2),V_opt_2) = c_Option_Ooption_ONone(T_b) % 153.71/153.52 <=> V_opt_2 = c_Option_Ooption_ONone(T_c) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_option__map__None,axiom, % 153.71/153.52 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_Option_Omap(T_c,T_b),V_f_2),c_Option_Ooption_ONone(T_c)) = c_Option_Ooption_ONone(T_b) ). % 153.71/153.52 % 153.71/153.52 fof(fact_option__map__o__empty,axiom, % 153.71/153.52 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_d,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(c_COMBK(tc_Option_Ooption(T_c),T_d),c_Option_Ooption_ONone(T_c))),V_x_2) = c_Option_Ooption_ONone(T_b) ). % 153.71/153.52 % 153.71/153.52 fof(fact_option__map__o__map__upd,axiom, % 153.71/153.52 ! [V_b_2,V_a_2,V_m_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_d),tc_Option_Ooption(T_c),T_b,hAPP(c_Option_Omap(T_d,T_c),V_f_2)),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_d)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_d),V_b_2))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_d),tc_Option_Ooption(T_c),T_b,hAPP(c_Option_Omap(T_d,T_c),V_f_2)),V_m_2)),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),hAPP(V_f_2,V_b_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__inj__on,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 153.71/153.52 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2) % 153.71/153.52 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_ys_2))) % 153.71/153.52 => V_xs_2 = V_ys_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_inj__on__map__eq__map,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2))) % 153.71/153.52 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2) % 153.71/153.52 <=> V_xs_2 = V_ys_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__fun__upd,axiom, % 153.71/153.52 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] : % 153.71/153.52 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hAPP(hAPP(c_List_Omap(T_b,T_c),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_c),V_f_2),V_y_2),V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_inj__on__mapI,axiom, % 153.71/153.52 ! [V_A_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2))) % 153.71/153.52 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),V_A_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__eq__dom,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_c,T_b] : % 153.71/153.52 ( c_Map_Omap__of(T_b,T_c,V_xs_2) = c_Map_Omap__of(T_b,T_c,V_ys_2) % 153.71/153.52 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_xs_2)) = hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_ys_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__SomeD,axiom, % 153.71/153.52 ! [V_y_2,V_k_2,V_xs_2,T_b,T_c] : % 153.71/153.52 ( hAPP(c_Map_Omap__of(T_c,T_b,V_xs_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_k_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_c,T_b)),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__is__SomeD,axiom, % 153.71/153.52 ! [V_y_2,V_x_2,V_xys_2,T_b,T_c] : % 153.71/153.52 ( hAPP(c_Map_Omap__of(T_c,T_b,V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_c,T_b)),V_xys_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_dom__map__of__conv__image__fst,axiom, % 153.71/153.52 ! [V_xys_2,T_c,T_b] : c_Map_Odom(T_b,T_c,c_Map_Omap__of(T_b,T_c,V_xys_2)) = hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_xys_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__eq__None__iff,axiom, % 153.71/153.52 ! [V_x_2,V_xys_2,T_b,T_c] : % 153.71/153.52 ( hAPP(c_Map_Omap__of(T_c,T_b,V_xys_2),V_x_2) = c_Option_Ooption_ONone(T_b) % 153.71/153.52 <=> ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(c_List_Oset(tc_prod(T_c,T_b)),V_xys_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Option_Omap__def,axiom, % 153.71/153.52 ! [V_f_2,T_c,T_b] : hAPP(c_Option_Omap(T_b,T_c),V_f_2) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_c),T_b,c_Option_Ooption_ONone(T_c),hAPP(hAPP(c_COMBB(T_c,tc_Option_Ooption(T_c),T_b),c_Option_Ooption_OSome(T_c)),V_f_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_WT__bodies__def,axiom, % 153.71/153.52 ( c_Com_OWT__bodies % 153.71/153.52 <=> ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname,tc_Com_Ocom)),B_x),hAPP(c_List_Oset(tc_prod(tc_Com_Opname,tc_Com_Ocom)),c_Com_Obodies))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Com_Opname,tc_Com_Ocom,tc_HOL_Obool),hAPP(c_COMBK(tc_fun(tc_Com_Ocom,tc_HOL_Obool),tc_Com_Opname),c_Com_OWT)),B_x)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__map__restrict,axiom, % 153.71/153.52 ! [V_ks_2,V_f_2,T_c,T_b] : c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_ks_2)) = c_Map_Orestrict__map(T_b,T_c,hAPP(c_Fun_Ocomp(T_c,tc_Option_Ooption(T_c),T_b,c_Option_Ooption_OSome(T_c)),V_f_2),hAPP(c_List_Oset(T_b),V_ks_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_ran__distinct,axiom, % 153.71/153.52 ! [V_al_2,T_c,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_al_2))) % 153.71/153.52 => c_Map_Oran(T_b,T_c,c_Map_Omap__of(T_b,T_c,V_al_2)) = hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_al_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__map__of__compr,axiom, % 153.71/153.52 ! [V_xs_2,T_c,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_xs_2))) % 153.71/153.52 => hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_xs_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_c),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_Option_Ooption(T_c),tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_c),tc_fun(tc_Option_Ooption(T_c),tc_HOL_Obool),T_b),c_fequal),c_Map_Omap__of(T_b,T_c,V_xs_2)))),c_Option_Ooption_OSome(T_c)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__map,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 153.71/153.52 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) % 153.71/153.52 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__inject__set,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_c,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_xs_2))) % 153.71/153.52 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_ys_2))) % 153.71/153.52 => ( c_Map_Omap__of(T_b,T_c,V_xs_2) = c_Map_Omap__of(T_b,T_c,V_ys_2) % 153.71/153.52 <=> hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_xs_2) = hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_ys_2) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__is__SomeI,axiom, % 153.71/153.52 ! [V_y_2,V_x_2,V_xys_2,T_c,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_xys_2))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_xys_2))) % 153.71/153.52 => hAPP(c_Map_Omap__of(T_b,T_c,V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_c),V_y_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__eq__Some__iff,axiom, % 153.71/153.52 ! [V_y_2,V_x_2,V_xys_2,T_c,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_xys_2))) % 153.71/153.52 => ( hAPP(c_Map_Omap__of(T_b,T_c,V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_c),V_y_2) % 153.71/153.52 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_xys_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Some__eq__map__of__iff,axiom, % 153.71/153.52 ! [V_x_2,V_y_2,V_xys_2,T_c,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_xys_2))) % 153.71/153.52 => ( hAPP(c_Option_Ooption_OSome(T_c),V_y_2) = hAPP(c_Map_Omap__of(T_b,T_c,V_xys_2),V_x_2) % 153.71/153.52 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_xys_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_greaterThanLessThan__upto,axiom, % 153.71/153.52 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_weak__map__of__SomeI,axiom, % 153.71/153.52 ! [V_l_2,V_x_2,V_k_2,T_c,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_k_2),V_x_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),V_l_2))) % 153.71/153.52 => ? [B_x] : hAPP(c_Map_Omap__of(T_b,T_c,V_l_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_c),B_x) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__upto,axiom, % 153.71/153.52 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_atLeastAtMost__upto,axiom, % 153.71/153.52 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__upto,axiom, % 153.71/153.52 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_atLeastLessThan__upto,axiom, % 153.71/153.52 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_greaterThanAtMost__upto,axiom, % 153.71/153.52 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nat__list__def,axiom, % 153.71/153.52 ! [V_l_2] : % 153.71/153.52 ( c_List_Onat__list(V_l_2) % 153.71/153.52 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__remove1__eq,axiom, % 153.71/153.52 ! [V_x_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 => hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__remove1__subset,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_remove1__idem,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_notin__set__remove1,axiom, % 153.71/153.52 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_y_2,V_xs_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_in__set__remove1,axiom, % 153.71/153.52 ! [V_xs_2,T_b,V_b_2,V_a_2] : % 153.71/153.52 ( V_a_2 != V_b_2 % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_b_2,V_xs_2)))) % 153.71/153.52 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_remove1__commute,axiom, % 153.71/153.52 ! [V_zs,V_y,V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Oremove1(T_a,V_y,V_zs)) = c_List_Oremove1(T_a,V_y,c_List_Oremove1(T_a,V_x,V_zs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__remove1,axiom, % 153.71/153.52 ! [V_x,V_xs,T_a] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 153.71/153.52 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__list__of__set__remove,axiom, % 153.71/153.52 ! [V_x_2,V_A_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_List_Oremove1(T_b,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__zip__map,axiom, % 153.71/153.52 ! [V_f_2,T_c,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hAPP(c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),V_x_2) = hAPP(c_Option_Ooption_OSome(T_c),hAPP(V_f_2,V_x_2)) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hAPP(c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),V_x_2) = c_Option_Ooption_ONone(T_c) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__zipI1,axiom, % 153.71/153.52 ! [V_ys,T_b,V_xs,T_a] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 153.71/153.52 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__zipI2,axiom, % 153.71/153.52 ! [V_xs,T_b,V_ys,T_a] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 153.71/153.52 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__same__conv__map,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__map__fst__snd,axiom, % 153.71/153.52 ! [V_zs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2)) = V_zs_2 ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__zip__map,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_g_2,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_d),V_f_2)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_e),c_Product__Type_OPair(T_c,T_d)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__zip__map2,axiom, % 153.71/153.52 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_d)),tc_fun(T_e,T_b),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_e),V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),T_c),c_COMBB(T_d,tc_prod(T_c,T_d),T_e)),c_Product__Type_OPair(T_c,T_d))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_in__set__zipE,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 153.71/153.52 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__zip__rightD,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__zip__leftD,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__same,axiom, % 153.71/153.52 ! [V_xs_2,V_b_2,V_a_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2)))) % 153.71/153.52 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 & V_a_2 = V_b_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__map__map,axiom, % 153.71/153.52 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),T_d),c_COMBB(T_c,tc_prod(T_b,T_c),T_e)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),V_ys_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__map1,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__map2,axiom, % 153.71/153.52 ! [V_ys_2,V_f_2,T_d,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__list__of__set__insert,axiom, % 153.71/153.52 ! [V_x_2,V_A_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__zip__upd,axiom, % 153.71/153.52 ! [V_z_2,V_y_2,V_x_2,V_zs_2,V_xs_2,T_c,V_ys_2,T_b] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) % 153.71/153.52 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_zs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) % 153.71/153.52 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_List_Oset(T_c),V_xs_2))) % 153.71/153.52 => ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),c_Map_Omap__of(T_c,T_b,hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_ys_2))),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_c,tc_Option_Ooption(T_b)),c_Map_Omap__of(T_c,T_b,hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_zs_2))),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_z_2)) % 153.71/153.52 => c_Map_Omap__of(T_c,T_b,hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_ys_2)) = c_Map_Omap__of(T_c,T_b,hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_zs_2)) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__zip,axiom, % 153.71/153.52 ! [V_ys,V_xs,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(T_a,T_b))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__insort,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 153.71/153.52 ( class_Orderings_Olinorder(T_c) % 153.71/153.52 => hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_insort__left__comm,axiom, % 153.71/153.52 ! [V_xs_2,V_y_2,V_x_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_insort__key__left__comm,axiom, % 153.71/153.52 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 153.71/153.52 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),V_xs_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__insort,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 153.71/153.52 ( class_Orderings_Olinorder(T_c) % 153.71/153.52 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_neq__if__length__neq,axiom, % 153.71/153.52 ! [V_ys,V_xs,T_a] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys) % 153.71/153.52 => V_xs != V_ys ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_fun__left__comm__insort,axiom, % 153.71/153.52 ! [T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lexn__length,axiom, % 153.71/153.52 ! [V_na_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2))) % 153.71/153.52 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_na_2 % 153.71/153.52 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__eq__imp__length__eq,axiom, % 153.71/153.52 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] : % 153.71/153.52 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2) % 153.71/153.52 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__map,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_remove1__insort,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) = V_xs_2 ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_card__length,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_card__distinct,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 153.71/153.52 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__card,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__zip__inject,axiom, % 153.71/153.52 ! [V_zs_2,V_xs_2,T_c,V_ys_2,T_b] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) % 153.71/153.52 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_zs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) % 153.71/153.52 => ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) % 153.71/153.52 => ( c_Map_Omap__of(T_c,T_b,hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_ys_2)) = c_Map_Omap__of(T_c,T_b,hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_zs_2)) % 153.71/153.52 => V_ys_2 = V_zs_2 ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__fst__zip,axiom, % 153.71/153.52 ! [V_ys_2,T_c,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 153.71/153.52 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_xs_2 ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__snd__zip,axiom, % 153.71/153.52 ! [V_ys_2,T_c,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 153.71/153.52 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_ys_2 ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__insort,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 153.71/153.52 ( class_Orderings_Olinorder(T_c) % 153.71/153.52 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2))) % 153.71/153.52 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__pos__if__in__set,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__eq__conv,axiom, % 153.71/153.52 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 153.71/153.52 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2 % 153.71/153.52 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2) = V_xs_2 % 153.71/153.52 & hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2) = V_ys_2 ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lenlex__conv,axiom, % 153.71/153.52 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_List_Olex(T_b,V_r_2)))))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lenlex__def,axiom, % 153.71/153.52 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_b),c_Wellfounded_Oless__than,c_List_Olex(T_b,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_b))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_COMBI(tc_List_Olist(T_b)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_finite__lists__length__eq,axiom, % 153.71/153.52 ! [V_na_2,V_A_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_na_2))))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__eq__iff__zip__eq,axiom, % 153.71/153.52 ! [T_b,V_ys_2,V_xs_2] : % 153.71/153.52 ( V_xs_2 = V_ys_2 % 153.71/153.52 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 153.71/153.52 & ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__zip__is__None,axiom, % 153.71/153.52 ! [V_x_2,V_ys_2,T_c,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 153.71/153.52 => ( hAPP(c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)),V_x_2) = c_Option_Ooption_ONone(T_c) % 153.71/153.52 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__zip__is__Some,axiom, % 153.71/153.52 ! [V_x_2,V_ys_2,T_c,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 <=> ? [B_y] : hAPP(c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)),V_x_2) = hAPP(c_Option_Ooption_OSome(T_c),B_y) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__remove1,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_dom__map__of__zip,axiom, % 153.71/153.52 ! [V_ys_2,T_c,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 153.71/153.52 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 => c_Map_Odom(T_b,T_c,c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) = hAPP(c_List_Oset(T_b),V_xs_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_finite__lists__length__le,axiom, % 153.71/153.52 ! [V_na_2,V_A_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_na_2))))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Nitpick_Ocard_H__def,axiom, % 153.71/153.52 ! [V_A_2,T_b] : % 153.71/153.52 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => c_Nitpick_Ocard_H(T_b,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b)))) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__iff__zip,axiom, % 153.71/153.52 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 153.71/153.52 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 153.71/153.52 & ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),B_x)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__rtrancl__refl,axiom, % 153.71/153.52 ! [V_r_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_xs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__eq__len,axiom, % 153.71/153.52 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 153.71/153.52 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__rtrancl__trans,axiom, % 153.71/153.52 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__mono,axiom, % 153.71/153.52 ! [V_s_2,V_r_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_List_Olistrel(T_b,V_s_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrelp__listrel__eq,axiom, % 153.71/153.52 ! [V_xa_2,V_x_2,V_r_2,T_b] : % 153.71/153.52 ( c_List_Olistrelp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2),V_x_2,V_xa_2) % 153.71/153.52 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lexn_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_na_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_na_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_na_2)))))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_impossible__Cons,axiom, % 153.71/153.52 ! [V_x,V_ys,V_xs,T_a] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys))) % 153.71/153.52 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__ConsD,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_y_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) % 153.71/153.52 => ( V_y_2 = V_x_2 % 153.71/153.52 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__Cons__Cons,axiom, % 153.71/153.52 ! [V_ys,V_y,V_xs,V_x,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__subset__Cons,axiom, % 153.71/153.52 ! [V_x_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_List_Oset_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldr_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrelp_OCons,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 153.71/153.52 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2) % 153.71/153.52 => c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrelp_Oequations_I2_J,axiom, % 153.71/153.52 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] : % 153.71/153.52 ( c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a4_2)) % 153.71/153.52 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 153.71/153.52 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list_Oinject,axiom, % 153.71/153.52 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_H_2),V_list_H_2) % 153.71/153.52 <=> ( V_a_2 = V_a_H_2 % 153.71/153.52 & V_list_2 = V_list_H_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_not__Cons__self2,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 153.71/153.52 % 153.71/153.52 fof(fact_not__Cons__self,axiom, % 153.71/153.52 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_remove1_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_xs,T_a,V_y,V_x] : % 153.71/153.52 ( ( V_x = V_y % 153.71/153.52 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 153.71/153.52 & ( V_x != V_y % 153.71/153.52 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Oremove1(T_a,V_x,V_xs)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_insort__key_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 153.71/153.52 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 153.71/153.52 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_ys_2)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) % 153.71/153.52 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__Cons__code_I2_J,axiom, % 153.71/153.52 ! [V_ps,V_v,T_c,T_b,V_k,V_l] : % 153.71/153.52 ( ( V_l = V_k % 153.71/153.52 => hAPP(c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_l),V_v)),V_ps)),V_k) = hAPP(c_Option_Ooption_OSome(T_c),V_v) ) % 153.71/153.52 & ( V_l != V_k % 153.71/153.52 => hAPP(c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_l),V_v)),V_ps)),V_k) = hAPP(c_Map_Omap__of(T_b,T_c,V_ps),V_k) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list_Osize_I4_J,axiom, % 153.71/153.52 ! [V_list,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),V_list)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_list)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel_OCons,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_ps_2,V_p_2,T_c,T_b] : c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),V_p_2),V_ps_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Omap__of(T_b,T_c,V_ps_2)),hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2)),hAPP(c_Option_Ooption_OSome(T_c),hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Cons__in__lex,axiom, % 153.71/153.52 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olex(T_b,V_r_2))) % 153.71/153.52 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 153.71/153.52 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) % 153.71/153.52 | ( V_x_2 = V_y_2 % 153.71/153.52 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__Cons,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = c_List_Oset__Cons(T_b,hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__Cons__def,axiom, % 153.71/153.52 ! [V_XS_2,V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBS(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_HOL_Obool,tc_List_Olist(T_b))),c_fequal))),c_List_Olist_OCons(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),V_XS_2)))))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__Cons1,axiom, % 153.71/153.52 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2))) % 153.71/153.52 => ~ ! [B_y,B_ys] : % 153.71/153.52 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),B_y)),V_r_2)) % 153.71/153.52 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__Cons2,axiom, % 153.71/153.52 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) % 153.71/153.52 => ~ ! [B_x,B_xs] : % 153.71/153.52 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_y_2)),V_r_2)) % 153.71/153.52 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__sublist,axiom, % 153.71/153.52 ! [V_I_2,V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_pick_Osimps,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a,V_i] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x))) % 153.71/153.52 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a),V_x) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x))) % 153.71/153.52 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Random_Opick(T_a,V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__sublistI,axiom, % 153.71/153.52 ! [V_I_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_in__set__sublistD,axiom, % 153.71/153.52 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_notin__set__sublistI,axiom, % 153.71/153.52 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__sublist__subset,axiom, % 153.71/153.52 ! [V_I_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_select__weight__cons__zero,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_pick__member,axiom, % 153.71/153.52 ! [V_xs_2,T_b,V_i_2] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Random_Opick(T_b,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__simps_I2_J,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a] : % 153.71/153.52 ( class_Groups_Omonoid__add(T_a) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__0,axiom, % 153.71/153.52 ! [V_xs_2,T_c,T_b] : % 153.71/153.52 ( class_Groups_Omonoid__add(T_b) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__mult__const,axiom, % 153.71/153.52 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( class_Rings_Osemiring__0(T_b) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_c_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_c_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__const__mult,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] : % 153.71/153.52 ( class_Rings_Osemiring__0(T_b) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__addf,axiom, % 153.71/153.52 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__subtractf,axiom, % 153.71/153.52 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( class_Groups_Oab__group__add(T_b) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__abs,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_b,T_b),c_Groups_Oabs__class_Oabs(T_b)),V_xs_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_uminus__listsum__map,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( class_Groups_Oab__group__add(T_b) % 153.71/153.52 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__listsum__conv__Setsum,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.52 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_COMBI(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_select__weight__def,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_b,V_xs_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 153.71/153.52 ! [V_f_2,V_xs_2,T_b,T_c] : % 153.71/153.52 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.52 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 153.71/153.52 ! [V_j_2,V_i_2,V_f_2,T_b] : % 153.71/153.52 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.52 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 153.71/153.52 ! [V_l_2,V_k_2,V_f_2,T_b] : % 153.71/153.52 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__triv,axiom, % 153.71/153.52 ! [V_xs_2,V_r_2,T_c,T_b] : % 153.71/153.52 ( class_Rings_Osemiring__1(T_b) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),V_r_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__map__remove1,axiom, % 153.71/153.52 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] : % 153.71/153.52 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_select__weight__member,axiom, % 153.71/153.52 ! [V_s_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Nitpick_Osetsum_H__def,axiom, % 153.71/153.52 ! [V_f_2,V_A_2,T_b,T_c] : % 153.71/153.52 ( class_Groups_Ocomm__monoid__add(T_c) % 153.71/153.52 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b))))) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_upto_Opsimps,axiom, % 153.71/153.52 ! [V_j_2,V_i_2] : % 153.71/153.52 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_i_2),V_j_2))) % 153.71/153.52 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 153.71/153.52 => c_List_Oupto(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),V_i_2),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 153.71/153.52 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__Nil2,axiom, % 153.71/153.52 ! [V_r_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) % 153.71/153.52 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__Nil1,axiom, % 153.71/153.52 ! [V_r_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2))) % 153.71/153.52 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 153.71/153.52 ! [V_ns_2] : % 153.71/153.52 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 <=> ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 153.71/153.52 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__simps_I1_J,axiom, % 153.71/153.52 ! [T_a] : % 153.71/153.52 ( class_Groups_Omonoid__add(T_a) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Nil__is__map__conv,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) % 153.71/153.52 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map_Osimps_I1_J,axiom, % 153.71/153.52 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__is__Nil__conv,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_b,T_c] : % 153.71/153.52 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b) % 153.71/153.52 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrelp_ONil,axiom, % 153.71/153.52 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrelp_Oequations_I1_J,axiom, % 153.71/153.52 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_insort__not__Nil,axiom, % 153.71/153.52 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] : % 153.71/153.52 ( class_Orderings_Olinorder(T_c) % 153.71/153.52 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct_Osimps_I1_J,axiom, % 153.71/153.52 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_remove1_Osimps_I1_J,axiom, % 153.71/153.52 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldr_Osimps_I1_J,axiom, % 153.71/153.52 ! [V_a_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c),V_a_2) = V_a_2 ). % 153.71/153.52 % 153.71/153.52 fof(fact_upto__empty,axiom, % 153.71/153.52 ! [V_i,V_j] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 153.71/153.52 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip_Osimps_I1_J,axiom, % 153.71/153.52 ! [V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__Nil,axiom, % 153.71/153.52 ! [V_ys,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Olist_ONil(T_a)),V_ys) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list_Osize_I3_J,axiom, % 153.71/153.52 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__0__conv,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__list__of__set__empty,axiom, % 153.71/153.52 ! [T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => c_List_Olinorder__class_Osorted__list__of__set(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_List_Oset_Osimps_I1_J,axiom, % 153.71/153.52 ! [T_b] : hAPP(c_List_Oset(T_b),c_List_Olist_ONil(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__empty2,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2) % 153.71/153.52 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__empty,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 153.71/153.52 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list_Osimps_I3_J,axiom, % 153.71/153.52 ! [V_list_H,V_a_H,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) != c_List_Olist_ONil(T_a) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_list_H,V_a_H,T_a] : c_List_Olist_ONil(T_a) != hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) ). % 153.71/153.52 % 153.71/153.52 fof(fact_insort__key_Osimps_I1_J,axiom, % 153.71/153.52 ! [V_x_2,V_f_2,T_b,T_c] : % 153.71/153.52 ( class_Orderings_Olinorder(T_c) % 153.71/153.52 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sublist__empty,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sublist__nil,axiom, % 153.71/153.52 ! [V_A_2,T_b] : c_List_Osublist(T_b,c_List_Olist_ONil(T_b),V_A_2) = c_List_Olist_ONil(T_b) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__greater__0__conv,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel_ONil,axiom, % 153.71/153.52 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Nil__notin__lex,axiom, % 153.71/153.52 ! [V_r_2,V_ys_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_ys_2)),c_List_Olex(T_b,V_r_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Nil2__notin__lex,axiom, % 153.71/153.52 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_upto_Osimps,axiom, % 153.71/153.52 ! [V_j,V_i] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 153.71/153.52 => c_List_Oupto(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),V_i),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j)) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 153.71/153.52 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sublist__singleton,axiom, % 153.71/153.52 ! [V_x_2,T_b,V_A_2] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 153.71/153.52 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 153.71/153.52 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = c_List_Olist_ONil(T_b) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_upto__rec__number__of,axiom, % 153.71/153.52 ! [V_n,V_m] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n))) % 153.71/153.52 => c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n))) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n))) % 153.71/153.52 => c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__Nil,axiom, % 153.71/153.52 ! [V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__Cons__sing__Nil,axiom, % 153.71/153.52 ! [V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_b,tc_List_Olist(T_b),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))),V_A_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_select__weigth__select,axiom, % 153.71/153.52 ! [T_b,V_xs_2] : % 153.71/153.52 ( V_xs_2 != c_List_Olist_ONil(T_b) % 153.71/153.52 => c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_b,V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_select,axiom, % 153.71/153.52 ! [V_s_2,T_b,V_xs_2] : % 153.71/153.52 ( V_xs_2 != c_List_Olist_ONil(T_b) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of_Osimps_I1_J,axiom, % 153.71/153.52 ! [V_x_1,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b,c_List_Olist_ONil(tc_prod(T_a,T_b))),V_x_1) = c_Option_Ooption_ONone(T_b) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__Cons__code_I1_J,axiom, % 153.71/153.52 ! [V_k,T_a,T_b] : hAPP(c_Map_Omap__of(T_b,T_a,c_List_Olist_ONil(tc_prod(T_b,T_a))),V_k) = c_Option_Ooption_ONone(T_a) ). % 153.71/153.52 % 153.71/153.52 fof(fact_anamorph_Osimps,axiom, % 153.71/153.52 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 153.71/153.52 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 153.71/153.52 => hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2,V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2) ) % 153.71/153.52 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 153.71/153.52 => hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2,V_k_2),V_x_2) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(tc_List_Olist(T_b),T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),c_COMBB(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),T_b),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),T_c))),c_List_Olist_OCons(T_b))))),c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))))),hAPP(V_f_2,V_x_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listset_Osimps_I1_J,axiom, % 153.71/153.52 ! [T_b] : c_List_Olistset(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listset_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__Cons,axiom, % 153.71/153.52 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__Cons1,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_c,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_c),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)))),hAPP(c_List_Ozip(T_b,T_c),V_xs_2))),V_ys_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list_Osimps_I5_J,axiom, % 153.71/153.52 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list_Osimps_I4_J,axiom, % 153.71/153.52 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ). % 153.71/153.52 % 153.71/153.52 fof(fact_select__def,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : c_Random_Oselect(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_b),V_xs_2)),c_Code__Numeral_Onat__of))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_pick__same,axiom, % 153.71/153.52 ! [V_xs_2,T_b,V_l_2] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 => hAPP(c_Random_Opick(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_l_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth_Osimps,axiom, % 153.71/153.52 ! [V_na_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_na_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_na_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__Cons__0,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_x ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__Cons__Suc,axiom, % 153.71/153.52 ! [V_n,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__map,axiom, % 153.71/153.52 ! [V_f_2,T_c,V_xs_2,T_b,V_na_2] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_na_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_all__set__conv__all__nth,axiom, % 153.71/153.52 ! [V_Pa_2,V_xs_2,T_b] : % 153.71/153.52 ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 153.71/153.52 <=> ! [B_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__conv__nth,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 <=> ! [B_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 => ! [B_j] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 => ( B_i != B_j % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__eq__iff__index__eq,axiom, % 153.71/153.52 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) % 153.71/153.52 <=> V_i_2 = V_j_2 ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__eq__iff__nth__eq,axiom, % 153.71/153.52 ! [T_b,V_ys_2,V_xs_2] : % 153.71/153.52 ( V_xs_2 = V_ys_2 % 153.71/153.52 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 153.71/153.52 & ! [B_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__zip,axiom, % 153.71/153.52 ! [V_ys,T_b,V_xs,T_a,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys))) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys),V_i)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_elem__le__listsum__nat,axiom, % 153.71/153.52 ! [V_ns,V_k] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__mem,axiom, % 153.71/153.52 ! [V_xs_2,T_b,V_na_2] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_in__set__conv__nth,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 <=> ? [B_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__Cons_H,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a,V_n] : % 153.71/153.52 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 153.71/153.52 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__conv__nth,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__Cons__number__of,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a,V_v] : % 153.71/153.52 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = V_x ) % 153.71/153.52 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__setsum__nth,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__sublist,axiom, % 153.71/153.52 ! [V_I_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__iff__nth,axiom, % 153.71/153.52 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 153.71/153.52 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 153.71/153.52 & ! [B_n] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__zip,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_c)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_b,T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),tc_Nat_Onat),c_Product__Type_OPair(T_b,T_c)),hAPP(c_List_Onth(T_b),V_xs_2))),hAPP(c_List_Onth(T_c),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_insort__insert__insort__key,axiom, % 153.71/153.52 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)))) % 153.71/153.52 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__list__update,axiom, % 153.71/153.52 ! [V_i_2,V_a_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 153.71/153.52 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__update__id,axiom, % 153.71/153.52 ! [V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)) = V_xs ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__list__update__neq,axiom, % 153.71/153.52 ! [V_x,V_xs,T_a,V_j,V_i] : % 153.71/153.52 ( V_i != V_j % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__update__nonempty,axiom, % 153.71/153.52 ! [V_x_2,V_k_2,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b) % 153.71/153.52 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__update_Osimps_I1_J,axiom, % 153.71/153.52 ! [V_v,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_v) = c_List_Olist_ONil(T_a) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__update__code_I1_J,axiom, % 153.71/153.52 ! [V_y,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_y) = c_List_Olist_ONil(T_a) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__update,axiom, % 153.71/153.52 ! [V_y,V_ys,V_x,V_i,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),V_y)) = hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_update__zip,axiom, % 153.71/153.52 ! [V_xy,V_i,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),V_xy) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(c_Product__Type_Ofst(T_a,T_b),V_xy))),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),hAPP(c_Product__Type_Osnd(T_a,T_b),V_xy))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__list__update,axiom, % 153.71/153.52 ! [V_x,V_i,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__update__swap,axiom, % 153.71/153.52 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 153.71/153.52 ( V_i != V_i_H % 153.71/153.52 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i_H),V_x_H) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i_H),V_x_H)),V_i),V_x) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__update__overwrite,axiom, % 153.71/153.52 ! [V_y,V_x,V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i),V_y) = hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__insort__insert,axiom, % 153.71/153.52 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] : % 153.71/153.52 ( class_Orderings_Olinorder(T_c) % 153.71/153.52 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__update__beyond,axiom, % 153.71/153.52 ! [V_x,V_i,V_xs,T_a] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)) % 153.71/153.52 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__update,axiom, % 153.71/153.52 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__update__code_I3_J,axiom, % 153.71/153.52 ! [V_y,V_i,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_i)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__update__code_I2_J,axiom, % 153.71/153.52 ! [V_y,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__update_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__update__subsetI,axiom, % 153.71/153.52 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2)) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__update__subset__insert,axiom, % 153.71/153.52 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__list__update__eq,axiom, % 153.71/153.52 ! [V_x,V_xs,T_a,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i) = V_x ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__update__same__conv,axiom, % 153.71/153.52 ! [V_x_2,V_xs_2,T_b,V_i_2] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 153.71/153.52 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__list__update,axiom, % 153.71/153.52 ! [V_x,V_j,V_xs,T_a,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => ( ( V_i = V_j % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = V_x ) % 153.71/153.52 & ( V_i != V_j % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__update__memI,axiom, % 153.71/153.52 ! [V_x_2,V_xs_2,T_b,V_na_2] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_na_2),V_x_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_insort__insert__triv,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__insort__insert,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__update__nat,axiom, % 153.71/153.52 ! [V_n,V_ns,V_k] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns))) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat,V_ns),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns)),V_n)),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_insort__insert__key__triv,axiom, % 153.71/153.52 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)))) % 153.71/153.52 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_insort__insert__insort,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sublist__Cons,axiom, % 153.71/153.52 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lexord__cons__cons,axiom, % 153.71/153.52 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) % 153.71/153.52 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 153.71/153.52 | ( V_a_2 = V_b_2 % 153.71/153.52 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__append__length,axiom, % 153.71/153.52 ! [V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = V_x ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__append__length__plus,axiom, % 153.71/153.52 ! [V_n,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_ys),V_n) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__append,axiom, % 153.71/153.52 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_us) % 153.71/153.52 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_vs) % 153.71/153.52 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_List_Oappend(T_b),V_us),V_vs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_us)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),V_vs)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__append,axiom, % 153.71/153.52 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append1__eq__conv,axiom, % 153.71/153.52 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) % 153.71/153.52 <=> ( V_xs_2 = V_ys_2 % 153.71/153.52 & V_x_2 = V_y_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Cons__eq__append__conv,axiom, % 153.71/153.52 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) % 153.71/153.52 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 153.71/153.52 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 ) % 153.71/153.52 | ? [B_ys_H] : % 153.71/153.52 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2 % 153.71/153.52 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__eq__Cons__conv,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) % 153.71/153.52 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 153.71/153.52 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) % 153.71/153.52 | ? [B_ys_H] : % 153.71/153.52 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) % 153.71/153.52 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lexord__append__left__rightI,axiom, % 153.71/153.52 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2)))),c_List_Olexord(T_b,V_r_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Cons__eq__appendI,axiom, % 153.71/153.52 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 153.71/153.52 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 153.71/153.52 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 153.71/153.52 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__Cons,axiom, % 153.71/153.52 ! [V_ys,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_ys) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__append,axiom, % 153.71/153.52 ! [V_ys,V_xs,T_a] : % 153.71/153.52 ( class_Groups_Omonoid__add(T_a) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_ys)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__append,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__append,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__assoc,axiom, % 153.71/153.52 ! [V_zs,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__eq__append__conv2,axiom, % 153.71/153.52 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_ts_2) % 153.71/153.52 <=> ? [B_us] : % 153.71/153.52 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us) % 153.71/153.52 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 ) % 153.71/153.52 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2 % 153.71/153.52 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_same__append__eq,axiom, % 153.71/153.52 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2) % 153.71/153.52 <=> V_ys_2 = V_zs_2 ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__same__eq,axiom, % 153.71/153.52 ! [V_zs_2,V_xs_2,V_ys_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_xs_2) % 153.71/153.52 <=> V_ys_2 = V_zs_2 ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__eq__appendI,axiom, % 153.71/153.52 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 153.71/153.52 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 153.71/153.52 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 153.71/153.52 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__append,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_c,T_b] : c_Map_Omap__of(T_b,T_c,hAPP(hAPP(c_List_Oappend(tc_prod(T_b,T_c)),V_xs_2),V_ys_2)) = c_Map_Omap__add(T_b,T_c,c_Map_Omap__of(T_b,T_c,V_ys_2),c_Map_Omap__of(T_b,T_c,V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldr__append,axiom, % 153.71/153.52 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,c_List_Ofoldr(T_c,T_b,V_f_2,V_ys_2,V_a_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lexord__append__leftI,axiom, % 153.71/153.52 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_eq__Nil__appendI,axiom, % 153.71/153.52 ! [T_a,V_ys,V_xs] : % 153.71/153.52 ( V_xs = V_ys % 153.71/153.52 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__self__conv2,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2 % 153.71/153.52 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__self__conv,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2 % 153.71/153.52 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__is__Nil__conv,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b) % 153.71/153.52 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 153.71/153.52 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_self__append__conv2,axiom, % 153.71/153.52 ! [V_xs_2,T_b,V_ys_2] : % 153.71/153.52 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 153.71/153.52 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_self__append__conv,axiom, % 153.71/153.52 ! [V_ys_2,T_b,V_xs_2] : % 153.71/153.52 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 153.71/153.52 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__Nil2,axiom, % 153.71/153.52 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 153.71/153.52 % 153.71/153.52 fof(fact_Nil__is__append__conv,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 153.71/153.52 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 153.71/153.52 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__Nil,axiom, % 153.71/153.52 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__update__append1,axiom, % 153.71/153.52 ! [V_x,V_ys,V_xs,T_a,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_i),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_ys) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__update__length,axiom, % 153.71/153.52 ! [V_y,V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_y) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_remove1__append,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)),V_ys_2) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oremove1(T_b,V_x_2,V_ys_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__append,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 153.71/153.52 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 153.71/153.52 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__append,axiom, % 153.71/153.52 ! [V_ys,V_xs,T_a,V_n] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__update__append,axiom, % 153.71/153.52 ! [V_x,V_ys,V_xs,T_a,V_n] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_n),V_x)),V_ys) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist__update(T_a,V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_x)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lexord__Nil__right,axiom, % 153.71/153.52 ! [V_r_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olexord(T_b,V_r_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sublist__append,axiom, % 153.71/153.52 ! [V_A_2,V_l_H_2,V_l_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Osublist(T_b,V_l_2,V_A_2)),c_List_Osublist(T_b,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_l_2)))),V_A_2)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lexord__lex,axiom, % 153.71/153.52 ! [V_r_2,V_y_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2))) % 153.71/153.52 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 153.71/153.52 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__upds__append1,axiom, % 153.71/153.52 ! [V_x_2,V_m_2,V_ys_2,T_c,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))) % 153.71/153.52 => c_Map_Omap__upds(T_b,T_c,V_m_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),V_ys_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,V_ys_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lexord__take__index__conv,axiom, % 153.71/153.52 ! [V_r_2,V_y_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 153.71/153.52 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2))) % 153.71/153.52 & hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),V_y_2) = V_x_2 ) % 153.71/153.52 | ? [B_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2)))) % 153.71/153.52 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2) % 153.71/153.52 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__append,axiom, % 153.71/153.52 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_fun__upds__append2__drop,axiom, % 153.71/153.52 ! [V_zs_2,V_m_2,V_ys_2,T_c,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 153.71/153.52 => c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_zs_2)) = c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,V_ys_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_fun__upds__append__drop,axiom, % 153.71/153.52 ! [V_zs_2,V_m_2,V_ys_2,T_c,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 153.71/153.52 => c_Map_Omap__upds(T_b,T_c,V_m_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2),V_ys_2) = c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,V_ys_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__1__Cons,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__upds__Nil1,axiom, % 153.71/153.52 ! [V_bs_2,V_m_2,T_c,T_b] : c_Map_Omap__upds(T_b,T_c,V_m_2,c_List_Olist_ONil(T_b),V_bs_2) = V_m_2 ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__upds__Nil2,axiom, % 153.71/153.52 ! [V_as_2,V_m_2,T_c,T_b] : c_Map_Omap__upds(T_b,T_c,V_m_2,V_as_2,c_List_Olist_ONil(T_c)) = V_m_2 ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__Nil,axiom, % 153.71/153.52 ! [V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__0,axiom, % 153.71/153.52 ! [V_xs,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = c_List_Olist_ONil(T_a) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__eq__Nil,axiom, % 153.71/153.52 ! [V_xs_2,V_na_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 153.71/153.52 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sublist__upt__eq__take,axiom, % 153.71/153.52 ! [V_na_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2)) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_l_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__zip,axiom, % 153.71/153.52 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Otake(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_b),V_n),V_ys)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__take,axiom, % 153.71/153.52 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),V_m)),V_xs) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__add__upds,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_m2_2,V_m1_2,T_c,T_b] : c_Map_Omap__add(T_b,T_c,V_m1_2,c_Map_Omap__upds(T_b,T_c,V_m2_2,V_xs_2,V_ys_2)) = c_Map_Omap__upds(T_b,T_c,c_Map_Omap__add(T_b,T_c,V_m1_2,V_m2_2),V_xs_2,V_ys_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__take,axiom, % 153.71/153.52 ! [V_i,V_xs,T_a] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 153.71/153.52 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__take__subset__set__take,axiom, % 153.71/153.52 ! [V_xs_2,T_b,V_na_2,V_m_2] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__take__subset,axiom, % 153.71/153.52 ! [V_xs_2,V_na_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_in__set__takeD,axiom, % 153.71/153.52 ! [V_xs_2,V_na_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__upds__apply__nontin,axiom, % 153.71/153.52 ! [V_ys_2,V_f_2,T_c,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hAPP(c_Map_Omap__upds(T_b,T_c,V_f_2,V_xs_2,V_ys_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__map,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_na_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_na_2),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__Suc__Cons,axiom, % 153.71/153.52 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__upd__upds__conv__if,axiom, % 153.71/153.52 ! [V_y_2,V_f_2,V_xs_2,V_ys_2,T_c,V_x_2,T_b] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)),V_xs_2)))) % 153.71/153.52 => c_Map_Omap__upds(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_f_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2)),V_xs_2,V_ys_2) = c_Map_Omap__upds(T_b,T_c,V_f_2,V_xs_2,V_ys_2) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)),V_xs_2)))) % 153.71/153.52 => c_Map_Omap__upds(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_f_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2)),V_xs_2,V_ys_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Omap__upds(T_b,T_c,V_f_2,V_xs_2,V_ys_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_c),V_y_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_dom__map__upds,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_m_2,T_c,T_b] : c_Map_Odom(T_b,T_c,c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)),V_xs_2))),c_Map_Odom(T_b,T_c,V_m_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__all,axiom, % 153.71/153.52 ! [V_n,V_xs,T_a] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) % 153.71/153.52 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__take,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__take,axiom, % 153.71/153.52 ! [V_xs,T_a,V_n,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__upds__Cons,axiom, % 153.71/153.52 ! [V_bs_2,V_b_2,V_as_2,V_a_2,V_m_2,T_c,T_b] : c_Map_Omap__upds(T_b,T_c,V_m_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_as_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_b_2),V_bs_2)) = c_Map_Omap__upds(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_b_2)),V_as_2,V_bs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__Cons,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_na_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_na_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_na_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__Cons_H,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a,V_n] : % 153.71/153.52 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 153.71/153.52 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__upds__list__update2__drop,axiom, % 153.71/153.52 ! [V_y_2,V_m_2,V_ys_2,T_c,V_i_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_i_2)) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))) % 153.71/153.52 => c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) = c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,V_ys_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__upds__twist,axiom, % 153.71/153.52 ! [V_bs_2,V_b_2,V_m_2,T_c,V_as_2,V_a_2,T_b] : % 153.71/153.52 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_as_2))) % 153.71/153.52 => c_Map_Omap__upds(T_b,T_c,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_b_2)),V_as_2,V_bs_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c)),c_Map_Omap__upds(T_b,T_c,V_m_2,V_as_2,V_bs_2)),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_b_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__Cons__number__of,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a,V_v] : % 153.71/153.52 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 153.71/153.52 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_restrict__map__upds,axiom, % 153.71/153.52 ! [V_m_2,V_D_2,V_ys_2,T_c,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_D_2)) % 153.71/153.52 => c_Map_Orestrict__map(T_b,T_c,c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,V_ys_2),V_D_2) = c_Map_Omap__upds(T_b,T_c,c_Map_Orestrict__map(T_b,T_c,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_D_2),hAPP(c_List_Oset(T_b),V_xs_2))),V_xs_2,V_ys_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__Suc__conv__app__nth,axiom, % 153.71/153.52 ! [V_xs,T_a,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),c_List_Olist_ONil(T_a))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_snoc__listrel1__snoc__iff,axiom, % 153.71/153.52 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2))) % 153.71/153.52 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 153.71/153.52 & V_x_2 = V_y_2 ) % 153.71/153.52 | ( V_xs_2 = V_ys_2 % 153.71/153.52 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lexord__append__leftD,axiom, % 153.71/153.52 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) % 153.71/153.52 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Cons__acc__listrel1I,axiom, % 153.71/153.52 ! [V_xs_2,V_r_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 153.71/153.52 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel1__converse,axiom, % 153.71/153.52 ! [V_r_2,T_b] : c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 153.71/153.52 ! [V_r_2,T_b] : c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel1__mono,axiom, % 153.71/153.52 ! [V_s_2,V_r_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel1(T_b,V_s_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 153.71/153.52 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 153.71/153.52 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel1I2,axiom, % 153.71/153.52 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rtrancl__listrel1__eq__len,axiom, % 153.71/153.52 ! [V_r_2,V_y_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 153.71/153.52 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel1__eq__len,axiom, % 153.71/153.52 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 153.71/153.52 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_not__Nil__listrel1,axiom, % 153.71/153.52 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_not__listrel1__Nil,axiom, % 153.71/153.52 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__listrel1I,axiom, % 153.71/153.52 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 153.71/153.52 & V_us_2 = V_vs_2 ) % 153.71/153.52 | ( V_xs_2 = V_ys_2 % 153.71/153.52 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_in__listrel1__converse,axiom, % 153.71/153.52 ! [V_r_2,V_y_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 153.71/153.52 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 153.71/153.52 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__reflcl__if__listrel1,axiom, % 153.71/153.52 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Cons__listrel1__Cons,axiom, % 153.71/153.52 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) % 153.71/153.52 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 153.71/153.52 & V_xs_2 = V_ys_2 ) % 153.71/153.52 | ( V_x_2 = V_y_2 % 153.71/153.52 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel1I1,axiom, % 153.71/153.52 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_xs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel1__subset__listrel,axiom, % 153.71/153.52 ! [V_r_H_2,V_r_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) % 153.71/153.52 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel(T_b,V_r_H_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel1I,axiom, % 153.71/153.52 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 153.71/153.52 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2)) % 153.71/153.52 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel1__iff__update,axiom, % 153.71/153.52 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 153.71/153.52 <=> ? [B_y,B_n] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2)) % 153.71/153.52 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel1E,axiom, % 153.71/153.52 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 153.71/153.52 => ~ ! [B_x,B_y] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 153.71/153.52 => ! [B_us,B_vs] : % 153.71/153.52 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs)) % 153.71/153.52 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate1__def,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_upd__conv__take__nth__drop,axiom, % 153.71/153.52 ! [V_a,V_xs,T_a,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_a) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__append,axiom, % 153.71/153.52 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__via__drop,axiom, % 153.71/153.52 ! [V_ys,V_y,V_xs,V_n,T_a] : % 153.71/153.52 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__drop,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__rotate1,axiom, % 153.71/153.52 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate1(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__1__Cons,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__Suc__Cons,axiom, % 153.71/153.52 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__map,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_na_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_na_2),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_in__set__dropD,axiom, % 153.71/153.52 ! [V_xs_2,V_na_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__rotate1,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__drop__subset,axiom, % 153.71/153.52 ! [V_xs_2,V_na_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__drop,axiom, % 153.71/153.52 ! [V_i,V_xs,T_a] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 153.71/153.52 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct1__rotate,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2))) % 153.71/153.52 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__drop,axiom, % 153.71/153.52 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__0,axiom, % 153.71/153.52 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__zip,axiom, % 153.71/153.52 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Odrop(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_b),V_n),V_ys)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate1__is__Nil__conv,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 153.71/153.52 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__Nil,axiom, % 153.71/153.52 ! [V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__eq__Nil,axiom, % 153.71/153.52 ! [V_xs_2,V_na_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 153.71/153.52 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_na_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__all,axiom, % 153.71/153.52 ! [V_n,V_xs,T_a] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) % 153.71/153.52 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__drop__subset__set__drop,axiom, % 153.71/153.52 ! [V_xs_2,T_b,V_m_2,V_na_2] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__drop,axiom, % 153.71/153.52 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_m),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__take,axiom, % 153.71/153.52 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__take__drop__id,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = V_xs ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__eq__conv__conj,axiom, % 153.71/153.52 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2 % 153.71/153.52 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) % 153.71/153.52 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__Cons,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_na_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_na_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_na_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__Cons_H,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a,V_n] : % 153.71/153.52 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ) % 153.71/153.52 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__drop,axiom, % 153.71/153.52 ! [V_xs,T_a,V_i,V_n] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__eq__append__conv__if,axiom, % 153.71/153.52 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2) % 153.71/153.52 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2))) % 153.71/153.52 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2) % 153.71/153.52 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2))) % 153.71/153.52 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2 % 153.71/153.52 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__drop_H,axiom, % 153.71/153.52 ! [V_xs,T_a,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate__simps,axiom, % 153.71/153.52 ! [V_xs,V_x,T_b,T_a] : % 153.71/153.52 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 153.71/153.52 & hAPP(c_List_Orotate1(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),c_List_Olist_ONil(T_b))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__Cons__number__of,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a,V_v] : % 153.71/153.52 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ) % 153.71/153.52 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__add,axiom, % 153.71/153.52 ! [V_xs,T_a,V_j,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_j),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate1__length01,axiom, % 153.71/153.52 ! [V_xs,T_a] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) % 153.71/153.52 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__append2,axiom, % 153.71/153.52 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Oappend(T_b),V_ys),V_zs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_ys)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_zs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__append1,axiom, % 153.71/153.52 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_id__take__nth__drop,axiom, % 153.71/153.52 ! [V_xs,T_a,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__hd__drop,axiom, % 153.71/153.52 ! [V_xs,T_a,V_n] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs))),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_hd__drop__conv__nth,axiom, % 153.71/153.52 ! [V_n,T_a,V_xs] : % 153.71/153.52 ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_hd__map,axiom, % 153.71/153.52 ! [V_f_2,T_c,T_b,V_xs_2] : % 153.71/153.52 ( V_xs_2 != c_List_Olist_ONil(T_b) % 153.71/153.52 => hAPP(c_List_Ohd(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_b),V_xs_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_hd_Osimps,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a] : hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ). % 153.71/153.52 % 153.71/153.52 fof(fact_hd__append,axiom, % 153.71/153.52 ! [V_ys,T_a,V_xs] : % 153.71/153.52 ( ( V_xs = c_List_Olist_ONil(T_a) % 153.71/153.52 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_ys) ) % 153.71/153.52 & ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_hd__append2,axiom, % 153.71/153.52 ! [V_ys,T_a,V_xs] : % 153.71/153.52 ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_hd__in__set,axiom, % 153.71/153.52 ! [T_b,V_xs_2] : % 153.71/153.52 ( V_xs_2 != c_List_Olist_ONil(T_b) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_hd__conv__nth,axiom, % 153.71/153.52 ! [T_a,V_xs] : % 153.71/153.52 ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => hAPP(c_List_Ohd(T_a),V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate1__hd__tl,axiom, % 153.71/153.52 ! [T_a,V_xs] : % 153.71/153.52 ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => hAPP(c_List_Orotate1(T_a),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),c_List_Olist_ONil(T_a))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_hd__rotate__conv__nth,axiom, % 153.71/153.52 ! [V_n,T_a,V_xs] : % 153.71/153.52 ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_tl__drop,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__tl,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__Suc,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_tl__append2,axiom, % 153.71/153.52 ! [V_ys,T_a,V_xs] : % 153.71/153.52 ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),V_ys) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__rotate,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate__conv__mod,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(c_List_Orotate(T_a,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs) ). % 153.71/153.52 % 153.71/153.52 fof(fact_tl_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__tl,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Otl(T_c),V_xs_2)) = hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate__map,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(c_List_Orotate(T_b,V_na_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_na_2),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__rotate,axiom, % 153.71/153.52 ! [V_xs_2,V_na_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__tl,axiom, % 153.71/153.52 ! [V_xs,T_a] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 153.71/153.52 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__rotate,axiom, % 153.71/153.52 ! [V_xs_2,V_na_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2))) % 153.71/153.52 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate__rotate,axiom, % 153.71/153.52 ! [V_xs,V_n,V_m,T_a] : hAPP(c_List_Orotate(T_a,V_m),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_xs) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate__is__Nil__conv,axiom, % 153.71/153.52 ! [V_xs_2,V_na_2,T_b] : % 153.71/153.52 ( hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 153.71/153.52 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_tl_Osimps_I1_J,axiom, % 153.71/153.52 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__tl,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate1__rotate__swap,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orotate1(T_a),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate__Suc,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate__def,axiom, % 153.71/153.52 ! [V_na_2,T_b] : c_List_Orotate(T_b,V_na_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_na_2),c_List_Orotate1(T_b)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_tl__append,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,hAPP(c_List_Otl(T_b),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b)),V_ys_2))),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate0,axiom, % 153.71/153.52 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate__add,axiom, % 153.71/153.52 ! [V_na_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_na_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate__id,axiom, % 153.71/153.52 ! [V_xs,T_a,V_n] : % 153.71/153.52 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate__length01,axiom, % 153.71/153.52 ! [V_n,V_xs,T_a] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) % 153.71/153.52 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__tl,axiom, % 153.71/153.52 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_tl__take,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_List_Otl(T_a),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__Suc,axiom, % 153.71/153.52 ! [V_n,T_a,V_xs] : % 153.71/153.52 ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate__drop__take,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)),hAPP(hAPP(c_List_Otake(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_fold1__set,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 153.71/153.52 => ( V_xs_2 != c_List_Olist_ONil(T_b) % 153.71/153.52 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Otl(T_b),V_xs_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list_Osize_I2_J,axiom, % 153.71/153.52 ! [V_list_2,V_a_2,V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_b,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldl__Nil,axiom, % 153.71/153.52 ! [V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),c_List_Olist_ONil(T_c)) = V_a_2 ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldr__conv__foldl,axiom, % 153.71/153.52 ! [V_a_2,V_xs_2,T_b] : % 153.71/153.52 ( class_Groups_Oab__semigroup__add(T_b) % 153.71/153.52 => c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldl__absorb0,axiom, % 153.71/153.52 ! [V_zs_2,V_x_2,T_b] : % 153.71/153.52 ( class_Groups_Omonoid__add(T_b) % 153.71/153.52 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_zs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_zs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldl__assoc,axiom, % 153.71/153.52 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 153.71/153.52 ( class_Groups_Osemigroup__add(T_b) % 153.71/153.52 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_y_2),V_zs_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_start__le__sum,axiom, % 153.71/153.52 ! [V_ns_2,V_na_2,V_m_2] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_ns_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldl__map,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_d,V_a_2,V_g_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,T_b)),T_b),c_COMBB(T_c,T_b,T_d)),V_g_2)),V_f_2),V_a_2),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__size__map,axiom, % 153.71/153.52 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldl__Cons,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldl__append,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2)),V_ys_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__foldl,axiom, % 153.71/153.52 ! [T_b] : % 153.71/153.52 ( class_Groups_Omonoid__add(T_b) % 153.71/153.52 => c_List_Omonoid__add__class_Olistsum(T_b) = c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldl__foldr1,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( class_Groups_Omonoid__add(T_b) % 153.71/153.52 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_xs_2) = c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldl__foldr1__lemma,axiom, % 153.71/153.52 ! [V_xs_2,V_a_2,T_b] : % 153.71/153.52 ( class_Groups_Omonoid__add(T_b) % 153.71/153.52 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sum__eq__0__conv,axiom, % 153.71/153.52 ! [V_ns_2,V_m_2] : % 153.71/153.52 ( hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 & ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 153.71/153.52 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list_Osize_I1_J,axiom, % 153.71/153.52 ! [V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,c_List_Olist_ONil(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 153.71/153.52 % 153.71/153.52 fof(fact_fun__left__comm__idem_Ofold__set,axiom, % 153.71/153.52 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 153.71/153.52 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Sup__set__fold,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inf__set__fold,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Sup__fin__set__fold,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( class_Lattices_Olattice(T_b) % 153.71/153.52 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Inf__fin__set__fold,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( class_Lattices_Olattice(T_b) % 153.71/153.52 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Min__fin__set__fold,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Max__fin__set__fold,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_min__max_OInf__fin__set__fold,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_min__max_OSup__fin__set__fold,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_SUPR__set__fold,axiom, % 153.71/153.52 ! [V_f_2,V_xs_2,T_c,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_INFI__set__fold,axiom, % 153.71/153.52 ! [V_f_2,V_xs_2,T_c,T_b] : % 153.71/153.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 153.71/153.52 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__size__estimation,axiom, % 153.71/153.52 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__size__estimation_H,axiom, % 153.71/153.52 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__upds__fold__map__upd,axiom, % 153.71/153.52 ! [V_vs_2,V_ks_2,V_m_2,T_c,T_b] : c_Map_Omap__upds(T_b,T_c,V_m_2,V_ks_2,V_vs_2) = hAPP(c_List_Ofoldl(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_prod(T_b,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_fun(T_b,tc_Option_Ooption(T_c)))),tc_fun(tc_prod(T_b,T_c),tc_fun(T_b,tc_Option_Ooption(T_c))),tc_fun(T_b,tc_Option_Ooption(T_c))),c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_b,tc_Option_Ooption(T_c)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_fun(T_c,tc_fun(T_b,tc_Option_Ooption(T_c))))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_fun(T_b,tc_Option_Ooption(T_c))))),tc_fun(tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_b,tc_fun(T_c,tc_fun(T_b,tc_Option_Ooption(T_c))))),tc_fun(T_b,tc_Option_Ooption(T_c))),c_COMBC(T_b,tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_fun(T_b,tc_Option_Ooption(T_c))))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Option_Ooption(T_c),tc_fun(T_b,tc_Option_Ooption(T_c)))),tc_fun(T_b,tc_fun(tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_fun(T_b,tc_Option_Ooption(T_c))))),tc_fun(T_b,tc_Option_Ooption(T_c))),hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_c),tc_fun(T_b,tc_Option_Ooption(T_c))),tc_fun(tc_fun(T_c,tc_Option_Ooption(T_c)),tc_fun(T_c,tc_fun(T_b,tc_Option_Ooption(T_c)))),T_b),c_COMBB(tc_Option_Ooption(T_c),tc_fun(T_b,tc_Option_Ooption(T_c)),T_c))),c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_c))))),c_Option_Ooption_OSome(T_c))),V_m_2),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_ks_2),V_vs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_elem__le__sum,axiom, % 153.71/153.52 ! [V_ns_2,V_na_2] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_na_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_ns_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__size__conv__listsum,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_b,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__subset,axiom, % 153.71/153.52 ! [V_A_2,V_r_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2))))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lists__accI,axiom, % 153.71/153.52 ! [V_r_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lists_ONil,axiom, % 153.71/153.52 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olists(T_b,V_A_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listrel__refl__on,axiom, % 153.71/153.52 ! [V_r_2,V_A_2,T_b] : % 153.71/153.52 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 153.71/153.52 => c_Relation_Orefl__on(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lists__UNIV,axiom, % 153.71/153.52 ! [T_b] : c_List_Olists(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__in__lists__conv,axiom, % 153.71/153.52 ! [V_A_2,V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2))) % 153.71/153.52 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 153.71/153.52 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lists__mono,axiom, % 153.71/153.52 ! [V_B_2,V_A_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olists(T_b,V_A_2)),c_List_Olists(T_b,V_B_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_equiv__listrel,axiom, % 153.71/153.52 ! [V_r_2,V_A_2,T_b] : % 153.71/153.52 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 153.71/153.52 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Cons__in__lists__iff,axiom, % 153.71/153.52 ! [V_A_2,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_List_Olists(T_b,V_A_2))) % 153.71/153.52 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 153.71/153.52 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_in__lists__conv__set,axiom, % 153.71/153.52 ! [V_A_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 153.71/153.52 <=> ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lists__eq__set,axiom, % 153.71/153.52 ! [V_A_2,T_b] : c_List_Olists(T_b,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lists__empty,axiom, % 153.71/153.52 ! [T_b] : c_List_Olists(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lists__accD,axiom, % 153.71/153.52 ! [V_r_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lexord__append__rightI,axiom, % 153.71/153.52 ! [V_r_2,V_x_2,T_b,V_y_2] : % 153.71/153.52 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lexord__Nil__left,axiom, % 153.71/153.52 ! [V_r_2,V_y_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 153.71/153.52 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_last__list__update,axiom, % 153.71/153.52 ! [V_x,V_k,T_a,V_xs] : % 153.71/153.52 ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 153.71/153.52 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 153.71/153.52 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 153.71/153.52 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Olast(T_a,V_xs) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__mono,axiom, % 153.71/153.52 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] : % 153.71/153.52 ( ( class_Groups_Omonoid__add(T_c) % 153.71/153.52 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 153.71/153.52 => ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_g_2),V_xs_2)))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_last__appendL,axiom, % 153.71/153.52 ! [V_xs,T_a,V_ys] : % 153.71/153.52 ( V_ys = c_List_Olist_ONil(T_a) % 153.71/153.52 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_last__appendR,axiom, % 153.71/153.52 ! [V_xs,T_a,V_ys] : % 153.71/153.52 ( V_ys != c_List_Olist_ONil(T_a) % 153.71/153.52 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_last__append,axiom, % 153.71/153.52 ! [V_xs,T_a,V_ys] : % 153.71/153.52 ( ( V_ys = c_List_Olist_ONil(T_a) % 153.71/153.52 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 153.71/153.52 & ( V_ys != c_List_Olist_ONil(T_a) % 153.71/153.52 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_last__ConsL,axiom, % 153.71/153.52 ! [V_x,T_a,V_xs] : % 153.71/153.52 ( V_xs = c_List_Olist_ONil(T_a) % 153.71/153.52 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_last__ConsR,axiom, % 153.71/153.52 ! [V_x,T_a,V_xs] : % 153.71/153.52 ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_last_Osimps,axiom, % 153.71/153.52 ! [V_x,T_a,V_xs] : % 153.71/153.52 ( ( V_xs = c_List_Olist_ONil(T_a) % 153.71/153.52 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 153.71/153.52 & ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_last__map,axiom, % 153.71/153.52 ! [V_f_2,T_c,T_b,V_xs_2] : % 153.71/153.52 ( V_xs_2 != c_List_Olist_ONil(T_b) % 153.71/153.52 => c_List_Olast(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_b,V_xs_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_last__in__set,axiom, % 153.71/153.52 ! [T_b,V_as_2] : % 153.71/153.52 ( V_as_2 != c_List_Olist_ONil(T_b) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_last__snoc,axiom, % 153.71/153.52 ! [V_x,V_xs,T_a] : c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_x ). % 153.71/153.52 % 153.71/153.52 fof(fact_last__drop,axiom, % 153.71/153.52 ! [V_xs,T_a,V_n] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_last__conv__nth,axiom, % 153.71/153.52 ! [T_a,V_xs] : % 153.71/153.52 ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => c_List_Olast(T_a,V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lexord__linear,axiom, % 153.71/153.52 ! [V_y_2,V_x_2,V_r_2,T_b] : % 153.71/153.52 ( ! [B_a,B_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_b)),V_r_2)) % 153.71/153.52 | B_a = B_b % 153.71/153.52 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_b),B_a)),V_r_2)) ) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 153.71/153.52 | V_x_2 = V_y_2 % 153.71/153.52 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lexord__irreflexive,axiom, % 153.71/153.52 ! [V_y_2,V_r_2,T_b] : % 153.71/153.52 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) % 153.71/153.52 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_lists_Osimps,axiom, % 153.71/153.52 ! [V_A_2,V_a_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2))) % 153.71/153.52 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 153.71/153.52 | ? [B_a,B_l] : % 153.71/153.52 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l) % 153.71/153.52 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 153.71/153.52 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_list__size__pointwise,axiom, % 153.71/153.52 ! [V_g_2,V_f_2,V_xs_2,T_b] : % 153.71/153.52 ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_b,V_g_2,V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_butlast__take,axiom, % 153.71/153.52 ! [V_xs,T_a,V_n] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__take__lemma,axiom, % 153.71/153.52 ! [V_ys,V_xs,T_a,V_k] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys))) % 153.71/153.52 => ( ! [B_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 153.71/153.52 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__butlast,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Obutlast(T_c,V_xs_2)) = c_List_Obutlast(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__butlast,axiom, % 153.71/153.52 ! [T_a,V_xs] : % 153.71/153.52 ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 153.71/153.52 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_butlast_Osimps_I1_J,axiom, % 153.71/153.52 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 153.71/153.52 % 153.71/153.52 fof(fact_in__set__butlastD,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_butlast_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_x,T_a,V_xs] : % 153.71/153.52 ( ( V_xs = c_List_Olist_ONil(T_a) % 153.71/153.52 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 153.71/153.52 & ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Obutlast(T_a,V_xs)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_butlast__append,axiom, % 153.71/153.52 ! [V_xs,T_a,V_ys] : % 153.71/153.52 ( ( V_ys = c_List_Olist_ONil(T_a) % 153.71/153.52 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 153.71/153.52 & ( V_ys != c_List_Olist_ONil(T_a) % 153.71/153.52 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Obutlast(T_a,V_ys)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__butlast,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_butlast__drop,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_in__set__butlast__appendI,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 153.71/153.52 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) ) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_butlast__snoc,axiom, % 153.71/153.52 ! [V_x,V_xs,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_xs ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__butlast,axiom, % 153.71/153.52 ! [V_xs,T_a,V_n] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__butlast,axiom, % 153.71/153.52 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_butlast__conv__take,axiom, % 153.71/153.52 ! [V_xs,T_a] : c_List_Obutlast(T_a,V_xs) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ). % 153.71/153.52 % 153.71/153.52 fof(fact_butlast__list__update,axiom, % 153.71/153.52 ! [V_x,V_xs,T_a,V_k] : % 153.71/153.52 ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 153.71/153.52 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Obutlast(T_a,V_xs) ) % 153.71/153.52 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 153.71/153.52 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = hAPP(hAPP(c_List_Olist__update(T_a,c_List_Obutlast(T_a,V_xs)),V_k),V_x) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_snoc__eq__iff__butlast,axiom, % 153.71/153.52 ! [V_ys_2,V_x_2,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = V_ys_2 % 153.71/153.52 <=> ( V_ys_2 != c_List_Olist_ONil(T_b) % 153.71/153.52 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2 % 153.71/153.52 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_append__butlast__last__id,axiom, % 153.71/153.52 ! [T_a,V_xs] : % 153.71/153.52 ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => hAPP(hAPP(c_List_Oappend(T_a),c_List_Obutlast(T_a,V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),c_List_Olast(T_a,V_xs)),c_List_Olist_ONil(T_a))) = V_xs ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose__aux__max,axiom, % 153.71/153.52 ! [V_xss_2,T_c,V_xs_2,T_b] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_c)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_partition__set,axiom, % 153.71/153.52 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 153.71/153.52 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 153.71/153.52 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_yes_2)),hAPP(c_List_Oset(T_b),V_no_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_filter__is__subset,axiom, % 153.71/153.52 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__filter__le,axiom, % 153.71/153.52 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_filter__append,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sum__length__filter__compl,axiom, % 153.71/153.52 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_filter_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 153.71/153.52 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.52 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.52 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_filter__id__conv,axiom, % 153.71/153.52 ! [V_xs_2,V_Pa_2,T_b] : % 153.71/153.52 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2 % 153.71/153.52 <=> ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_filter__insort__triv,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] : % 153.71/153.52 ( class_Orderings_Olinorder(T_c) % 153.71/153.52 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.52 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__filter,axiom, % 153.71/153.52 ! [V_Pa_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_remove1__filter__not,axiom, % 153.71/153.52 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 153.71/153.52 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.52 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_filter__remove1,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_Qa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Qa_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Qa_2),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_filter__filter,axiom, % 153.71/153.52 ! [V_xs_2,V_Qa_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Ofilter(T_b,V_Qa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Qa_2)),V_Pa_2)),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_partition__filter1,axiom, % 153.71/153.52 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_filter__empty__conv,axiom, % 153.71/153.52 ! [V_xs_2,V_Pa_2,T_b] : % 153.71/153.52 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b) % 153.71/153.52 <=> ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_filter_Osimps_I1_J,axiom, % 153.71/153.52 ! [V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 153.71/153.52 % 153.71/153.52 fof(fact_partition__filter__conv,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_partition__filter2,axiom, % 153.71/153.52 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_Pa_2)),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_filter__map,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__filter__map,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__filter,axiom, % 153.71/153.52 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_Pa_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__filter__less,axiom, % 153.71/153.52 ! [V_Pa_2,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__minus__filter__out,axiom, % 153.71/153.52 ! [V_y_2,V_xs_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_partition__P,axiom, % 153.71/153.52 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 153.71/153.52 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 153.71/153.52 => ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2))) % 153.71/153.52 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 153.71/153.52 & ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2))) % 153.71/153.52 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_partition_Osimps_I1_J,axiom, % 153.71/153.52 ! [V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_filter__in__sublist,axiom, % 153.71/153.52 ! [V_s_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_b,V_xs_2,V_s_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_partition_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_Pa_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__filter__conv__card,axiom, % 153.71/153.52 ! [V_xs_2,V_p_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_b),V_xs_2))))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__filter__def,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_b,T_c] : c_List_Omap__filter(T_c,T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_c,c_Option_Othe(T_b)),V_f_2)),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),hAPP(hAPP(c_COMBC(T_c,tc_Option_Ooption(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),T_c),c_fequal),V_f_2)),c_Option_Ooption_ONone(T_b)))),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose__max__length,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__of__filter__in,axiom, % 153.71/153.52 ! [V_Pa_2,V_z_2,V_k_2,V_xs_2,T_b,T_c] : % 153.71/153.52 ( hAPP(c_Map_Omap__of(T_c,T_b,V_xs_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_z_2) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_k_2),V_z_2)) % 153.71/153.52 => hAPP(c_Map_Omap__of(T_c,T_b,hAPP(c_List_Ofilter(tc_prod(T_c,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2)),V_xs_2)),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),V_z_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__filter__simps_I1_J,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Omap__filter(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(T_b),T_b,c_List_Omap__filter(T_c,T_b,V_f_2,V_xs_2),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Omap__filter(T_c,T_b,V_f_2,V_xs_2))),hAPP(V_f_2,V_x_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose__map__map,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),c_List_Otranspose(T_c,V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose_Osimps_I1_J,axiom, % 153.71/153.52 ! [T_a] : c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__filter__simps_I2_J,axiom, % 153.71/153.52 ! [V_f_2,T_b,T_c] : c_List_Omap__filter(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose__empty,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b)) % 153.71/153.52 <=> ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_xss,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss)) = c_List_Otranspose(T_a,V_xss) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sublist__shift__lemma__Suc,axiom, % 153.71/153.52 ! [V_is_2,V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_select__weigth__drop__zero,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_pick__drop__zero,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : c_Random_Opick(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_b,V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__transpose,axiom, % 153.71/153.52 ! [V_xs_2,T_b,V_i_2] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__transpose,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__filter__map__filter,axiom, % 153.71/153.52 ! [V_xs_2,V_Pa_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) = c_List_Omap__filter(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,tc_Option_Ooption(T_b),tc_Option_Ooption(T_b)),hAPP(hAPP(c_COMBS(T_c,tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_Option_Ooption(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_Option_Ooption(T_b))),T_c),c_If(tc_Option_Ooption(T_b))),V_Pa_2)),hAPP(hAPP(c_COMBB(T_b,tc_Option_Ooption(T_b),T_c),c_Option_Ooption_OSome(T_b)),V_f_2))),c_Option_Ooption_ONone(T_b)),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_insort__key__remove1,axiom, % 153.71/153.52 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] : % 153.71/153.52 ( class_Orderings_Olinorder(T_c) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 153.71/153.52 => ( hAPP(c_List_Ohd(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2 % 153.71/153.52 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sublist__def,axiom, % 153.71/153.52 ! [V_A_2,V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted_ONil,axiom, % 153.71/153.52 ! [T_a] : % 153.71/153.52 ( class_Orderings_Olinorder(T_a) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__single,axiom, % 153.71/153.52 ! [V_x,T_a] : % 153.71/153.52 ( class_Orderings_Olinorder(T_a) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__same,axiom, % 153.71/153.52 ! [V_xs_2,V_g_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__map__same,axiom, % 153.71/153.52 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__filter,axiom, % 153.71/153.52 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__upt,axiom, % 153.71/153.52 ! [V_j,V_i] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i) ). % 153.71/153.52 % 153.71/153.52 fof(fact_upt__eq__Cons__conv,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 153.71/153.52 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 153.71/153.52 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 153.71/153.52 & V_i_2 = V_x_2 % 153.71/153.52 & c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_j_2) = V_xs_2 ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__butlast,axiom, % 153.71/153.52 ! [V_xs,T_a] : % 153.71/153.52 ( class_Orderings_Olinorder(T_a) % 153.71/153.52 => ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__append,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 153.71/153.52 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 153.71/153.52 & c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 153.71/153.52 & ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => ! [B_xa] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_take__upt,axiom, % 153.71/153.52 ! [V_n,V_m,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)),V_n)) % 153.71/153.52 => hAPP(hAPP(c_List_Otake(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_n)) = c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_upt__eq__Nil__conv,axiom, % 153.71/153.52 ! [V_j_2,V_i_2] : % 153.71/153.52 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 153.71/153.52 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 153.71/153.52 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_upt__conv__Nil,axiom, % 153.71/153.52 ! [V_i,V_j] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 153.71/153.52 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__many__eq,axiom, % 153.71/153.52 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2))) % 153.71/153.52 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 153.71/153.52 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__many,axiom, % 153.71/153.52 ! [V_zs,V_y,V_x,T_a] : % 153.71/153.52 ( class_Orderings_Olinorder(T_a) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_upt__add__eq__append,axiom, % 153.71/153.52 ! [V_k,V_j,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.71/153.52 => c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),c_List_Oupt(V_j,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_upt__Suc,axiom, % 153.71/153.52 ! [V_j,V_i] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.71/153.52 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.71/153.52 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_upt__Suc__append,axiom, % 153.71/153.52 ! [V_j,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.71/153.52 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__Cons,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 153.71/153.52 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 153.71/153.52 & ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_drop__upt,axiom, % 153.71/153.52 ! [V_j,V_i,V_m] : hAPP(hAPP(c_List_Odrop(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_j)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m),V_j) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__drop,axiom, % 153.71/153.52 ! [V_n,V_xs,T_a] : % 153.71/153.52 ( class_Orderings_Olinorder(T_a) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_hd__upt,axiom, % 153.71/153.52 ! [V_j,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 153.71/153.52 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__insort__insert,axiom, % 153.71/153.52 ! [V_x_2,V_xs_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_upt__rec,axiom, % 153.71/153.52 ! [V_j,V_i] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 153.71/153.52 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 153.71/153.52 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_upt__conv__Cons,axiom, % 153.71/153.52 ! [V_j,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 153.71/153.52 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__upt,axiom, % 153.71/153.52 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_atLeastLessThan__upt,axiom, % 153.71/153.52 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__distinct__set__unique,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 153.71/153.52 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 153.71/153.52 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 153.71/153.52 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 153.71/153.52 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__insort,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) % 153.71/153.52 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__upt,axiom, % 153.71/153.52 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__remove1,axiom, % 153.71/153.52 ! [V_a,V_xs,T_a] : % 153.71/153.52 ( class_Orderings_Olinorder(T_a) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__upt,axiom, % 153.71/153.52 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__upto,axiom, % 153.71/153.52 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__list__of__set__range,axiom, % 153.71/153.52 ! [V_na_2,V_m_2] : c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) = c_List_Oupt(V_m_2,V_na_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_upt__0,axiom, % 153.71/153.52 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted_Oequations_I1_J,axiom, % 153.71/153.52 ! [T_a] : % 153.71/153.52 ( class_Orderings_Olinorder(T_a) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__take,axiom, % 153.71/153.52 ! [V_n,V_xs,T_a] : % 153.71/153.52 ( class_Orderings_Olinorder(T_a) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__tl,axiom, % 153.71/153.52 ! [V_xs,T_a] : % 153.71/153.52 ( class_Orderings_Olinorder(T_a) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__insort__key,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2))) % 153.71/153.52 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__map__remove1,axiom, % 153.71/153.52 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__Suc__upt,axiom, % 153.71/153.52 ! [V_na_2,V_m_2] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),c_List_Oupt(V_m_2,V_na_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__insort__insert__key,axiom, % 153.71/153.52 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 153.71/153.52 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_upt__rec__number__of,axiom, % 153.71/153.52 ! [V_n,V_m] : % 153.71/153.52 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) % 153.71/153.52 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),c_List_Oupt(hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) ) % 153.71/153.52 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) % 153.71/153.52 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_last__upt,axiom, % 153.71/153.52 ! [V_j,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 153.71/153.52 => c_List_Olast(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_filter__insort,axiom, % 153.71/153.52 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 153.71/153.52 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.52 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__nth,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) = V_xs_2 ). % 153.71/153.52 % 153.71/153.52 fof(fact_atLeastAtMost__upt,axiom, % 153.71/153.52 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_na_2,hAPP(c_Nat_OSuc,V_m_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_atLeast__upt,axiom, % 153.71/153.52 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 153.71/153.52 ! [V_na_2,V_m_2,V_f_2,T_b] : % 153.71/153.52 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.52 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_na_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_na_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 153.71/153.52 ! [V_na_2,V_m_2,V_f_2,T_b] : % 153.71/153.52 ( class_Groups_Ocomm__monoid__add(T_b) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_na_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__upt,axiom, % 153.71/153.52 ! [V_j,V_k,V_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j)) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_greaterThanAtMost__upt,axiom, % 153.71/153.52 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted_Oequations_I2_J,axiom, % 153.71/153.52 ! [V_a1_2,V_a2_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2)) % 153.71/153.52 <=> ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) ) % 153.71/153.52 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_greaterThanLessThan__upt,axiom, % 153.71/153.52 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_na_2),V_m_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__map__upt,axiom, % 153.71/153.52 ! [V_f_2,T_b,V_m_2,V_na_2,V_i_2] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_m_2))) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_na_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__list__of__set,axiom, % 153.71/153.52 ! [V_A_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 153.71/153.52 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2 % 153.71/153.52 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) % 153.71/153.52 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_atMost__upto,axiom, % 153.71/153.52 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_insort__remove1,axiom, % 153.71/153.52 ! [V_xs_2,V_a_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 153.71/153.52 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__nth__mono,axiom, % 153.71/153.52 ! [V_j,V_i,V_xs,T_a] : % 153.71/153.52 ( class_Orderings_Olinorder(T_a) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j))) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__equals__nth__mono,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 153.71/153.52 <=> ! [B_j] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.52 => ! [B_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j))) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__sorted__distinct__set__unique,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 153.71/153.52 ( class_Orderings_Olinorder(T_c) % 153.71/153.52 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2))) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 153.71/153.52 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)) % 153.71/153.52 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))) % 153.71/153.52 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 153.71/153.52 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sublist__shift__lemma,axiom, % 153.71/153.52 ! [V_i_2,V_xs_2,V_A_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_b,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose__rectangle,axiom, % 153.71/153.52 ! [V_na_2,T_b,V_xs_2] : % 153.71/153.52 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 153.71/153.52 => V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.71/153.52 => ( ! [B_i] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 153.71/153.52 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_na_2 ) % 153.71/153.52 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose_Opsimps_I2_J,axiom, % 153.71/153.52 ! [V_xss_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2))) % 153.71/153.52 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)) = c_List_Otranspose(T_b,V_xss_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose_Opsimps_I1_J,axiom, % 153.71/153.52 ! [T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),c_List_Olist_ONil(tc_List_Olist(T_b)))) % 153.71/153.52 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose__column,axiom, % 153.71/153.52 ! [V_i_2,V_xs_2,T_b] : % 153.71/153.52 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 153.71/153.52 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose__aux__filter__head,axiom, % 153.71/153.52 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),c_List_Ohd(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_inj__on__rev,axiom, % 153.71/153.52 ! [V_A_2,T_b] : c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orev(T_b),V_A_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_filter__concat,axiom, % 153.71/153.52 ! [V_xs_2,V_p_2,T_b] : hAPP(c_List_Ofilter(T_b,V_p_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Ofilter(T_b,V_p_2)),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__concat,axiom, % 153.71/153.52 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oconcat(T_b,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_concat_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),V_x),c_List_Oconcat(T_a,V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_singleton__rev__conv,axiom, % 153.71/153.52 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(c_List_Orev(T_b),V_xs_2) % 153.71/153.52 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__singleton__conv,axiom, % 153.71/153.52 ! [V_x_2,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) % 153.71/153.52 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Nil__eq__concat__conv,axiom, % 153.71/153.52 ! [V_xss_2,T_b] : % 153.71/153.52 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2) % 153.71/153.52 <=> ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 153.71/153.52 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_concat__eq__Nil__conv,axiom, % 153.71/153.52 ! [V_xss_2,T_b] : % 153.71/153.52 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b) % 153.71/153.52 <=> ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 153.71/153.52 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__is__Nil__conv,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 153.71/153.52 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_Nil__is__rev__conv,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2) % 153.71/153.52 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_concat_Osimps_I1_J,axiom, % 153.71/153.52 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev_Osimps_I1_J,axiom, % 153.71/153.52 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev_Osimps_I2_J,axiom, % 153.71/153.52 ! [V_xs,V_x,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__eq__Cons__iff,axiom, % 153.71/153.52 ! [V_ys_2,V_y_2,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 153.71/153.52 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Orev(T_b),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_map__concat,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__map,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__concat,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Orev(T_b)),hAPP(c_List_Orev(tc_List_Olist(T_b)),V_xs_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_concat__conv__foldl,axiom, % 153.71/153.52 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),c_List_Olist_ONil(T_b)),V_xss_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__foldl__cons,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldl__conv__concat,axiom, % 153.71/153.52 ! [V_xss_2,V_xs_2,T_b] : hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oconcat(T_b,V_xss_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__rev,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2))) % 153.71/153.52 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_concat__append,axiom, % 153.71/153.52 ! [V_ys,V_xs,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Oappend(tc_List_Olist(T_a)),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oconcat(T_a,V_xs)),c_List_Oconcat(T_a,V_ys)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__append,axiom, % 153.71/153.52 ! [V_ys,V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_ys)),hAPP(c_List_Orev(T_a),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__concat,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oconcat(T_b,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)),c_List_Oset(T_b)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__rev,axiom, % 153.71/153.52 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ). % 153.71/153.52 % 153.71/153.52 fof(fact_listsum__rev,axiom, % 153.71/153.52 ! [V_xs,T_a] : % 153.71/153.52 ( class_Groups_Ocomm__monoid__add(T_a) % 153.71/153.52 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__rev__ident,axiom, % 153.71/153.52 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__swap,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2 % 153.71/153.52 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__is__rev__conv,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2) % 153.71/153.52 <=> V_xs_2 = V_ys_2 ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldl__foldr,axiom, % 153.71/153.52 ! [V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2),V_a_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldr__foldl,axiom, % 153.71/153.52 ! [V_a_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),V_f_2),V_a_2),hAPP(c_List_Orev(T_c),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__rev,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__rev,axiom, % 153.71/153.52 ! [V_ys,T_b,V_xs,T_a] : % 153.71/153.52 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys) % 153.71/153.52 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(c_List_Orev(T_a),V_xs)),hAPP(c_List_Orev(T_b),V_ys)) = hAPP(c_List_Orev(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__filter,axiom, % 153.71/153.52 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Orev(T_b),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_hd__rev,axiom, % 153.71/153.52 ! [T_a,V_xs] : % 153.71/153.52 ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_last__rev,axiom, % 153.71/153.52 ! [T_a,V_xs] : % 153.71/153.52 ( V_xs != c_List_Olist_ONil(T_a) % 153.71/153.52 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__transpose,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__drop,axiom, % 153.71/153.52 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__take,axiom, % 153.71/153.52 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rotate__rev,axiom, % 153.71/153.52 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))),V_xs)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose_Osimps_I3_J,axiom, % 153.71/153.52 ! [V_xss_2,V_xs_2,V_x_2,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__nth,axiom, % 153.71/153.52 ! [V_xs,T_a,V_n] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_a),hAPP(c_List_Orev(T_a),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_OSuc,V_n))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_concat__injective,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 153.71/153.52 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2) % 153.71/153.52 => ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) ) % 153.71/153.52 => V_xs_2 = V_ys_2 ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_concat__eq__concat__iff,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,T_b] : % 153.71/153.52 ( ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) ) % 153.71/153.52 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2) % 153.71/153.52 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 153.71/153.52 <=> V_xs_2 = V_ys_2 ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_rev__update,axiom, % 153.71/153.52 ! [V_y,V_xs,T_a,V_k] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_y)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_k)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_y) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_concat__map__singleton,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_c),c_List_Olist_OCons(T_b)),V_f_2)),c_List_Olist_ONil(T_b))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_sorted__rev__nth__mono,axiom, % 153.71/153.52 ! [V_j,V_i,V_xs,T_a] : % 153.71/153.52 ( class_Orderings_Olinorder(T_a) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i))) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_foldr__max__sorted,axiom, % 153.71/153.52 ! [V_y_2,V_xs_2,T_b] : % 153.71/153.52 ( class_Orderings_Olinorder(T_b) % 153.71/153.52 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2)) % 153.71/153.52 => ( ( V_xs_2 = c_List_Olist_ONil(T_b) % 153.71/153.52 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 ) % 153.71/153.52 & ( V_xs_2 != c_List_Olist_ONil(T_b) % 153.71/153.52 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose_Opsimps_I3_J,axiom, % 153.71/153.52 ! [V_xss_2,V_xs_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2))) % 153.71/153.52 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__transpose__sorted,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 153.71/153.52 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 153.71/153.52 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 153.71/153.52 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b)) % 153.71/153.52 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose__column__length,axiom, % 153.71/153.52 ! [V_i_2,V_xs_2,T_b] : % 153.71/153.52 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 153.71/153.52 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose__aux__filter__tail,axiom, % 153.71/153.52 ! [V_xss_2,T_b] : c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otl(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_nth__nth__transpose__sorted,axiom, % 153.71/153.52 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 153.71/153.52 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)))) % 153.71/153.52 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_j_2)),V_i_2) ) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transpose__transpose,axiom, % 153.71/153.52 ! [V_xs_2,T_b] : % 153.71/153.52 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 153.71/153.52 => c_List_Otranspose(T_b,c_List_Otranspose(T_b,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b))),V_xs_2) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 153.71/153.52 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_takeWhile__map,axiom, % 153.71/153.52 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_return__list__def,axiom, % 153.71/153.52 ! [V_l_2] : c_List_Oreturn__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_l_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__takeWhile__snd,axiom, % 153.71/153.52 ! [V_ys_2,V_Pa_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_Pa_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_zip__takeWhile__fst,axiom, % 153.71/153.52 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 153.71/153.52 % 153.71/153.52 fof(fact_set__takeWhileD,axiom, % 153.71/153.52 ! [V_xs_2,V_Pa_2,V_x_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) % 153.71/153.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_takeWhile__eq__all__conv,axiom, % 153.71/153.52 ! [V_xs_2,V_Pa_2,T_b] : % 153.71/153.52 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2 % 153.71/153.52 <=> ! [B_x] : % 153.71/153.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.52 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_length__takeWhile__le,axiom, % 153.71/153.52 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 153.71/153.52 % 153.71/153.52 fof(fact_takeWhile__eq__take,axiom, % 153.71/153.52 ! [V_xs_2,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ). % 153.71/153.52 % 153.71/153.52 fof(fact_distinct__takeWhile,axiom, % 153.71/153.52 ! [V_Pa_2,V_xs_2,T_b] : % 153.71/153.52 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.52 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 153.71/153.52 % 153.71/153.52 fof(fact_takeWhile_Osimps_I1_J,axiom, % 153.71/153.52 ! [V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 153.71/153.53 % 153.71/153.53 fof(fact_sorted__takeWhile,axiom, % 153.71/153.53 ! [V_Pa_2,V_xs_2,T_b] : % 153.71/153.53 ( class_Orderings_Olinorder(T_b) % 153.71/153.53 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 153.71/153.53 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_takeWhile_Osimps_I2_J,axiom, % 153.71/153.53 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 153.71/153.53 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.53 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) % 153.71/153.53 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.53 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_takeWhile__tail,axiom, % 153.71/153.53 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] : % 153.71/153.53 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.53 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_takeWhile__append1,axiom, % 153.71/153.53 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 153.71/153.53 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.53 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.53 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_takeWhile__nth,axiom, % 153.71/153.53 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 153.71/153.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) % 153.71/153.53 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_nth__length__takeWhile,axiom, % 153.71/153.53 ! [V_xs_2,V_Pa_2,T_b] : % 153.71/153.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 153.71/153.53 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_map__upds__def,axiom, % 153.71/153.53 ! [V_ys_2,V_xs_2,V_m_2,T_c,T_b] : c_Map_Omap__upds(T_b,T_c,V_m_2,V_xs_2,V_ys_2) = c_Map_Omap__add(T_b,T_c,V_m_2,c_Map_Omap__of(T_b,T_c,hAPP(c_List_Orev(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) ). % 153.71/153.53 % 153.71/153.53 fof(fact_takeWhile__not__last,axiom, % 153.71/153.53 ! [T_b,V_xs_2] : % 153.71/153.53 ( V_xs_2 != c_List_Olist_ONil(T_b) % 153.71/153.53 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.53 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),c_List_Olast(T_b,V_xs_2))),V_xs_2) = c_List_Obutlast(T_b,V_xs_2) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 153.71/153.53 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] : % 153.71/153.53 ( class_Orderings_Olinorder(T_b) % 153.71/153.53 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 153.71/153.53 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_transfer__nat__int__list__return__embed,axiom, % 153.71/153.53 ! [V_l] : % 153.71/153.53 ( c_List_Onat__list(V_l) % 153.71/153.53 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_length__remdups__concat,axiom, % 153.71/153.53 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,c_List_Oconcat(T_b,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)),c_List_Oset(T_b))) ). % 153.71/153.53 % 153.71/153.53 fof(fact_distinct__remdups,axiom, % 153.71/153.53 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 153.71/153.53 % 153.71/153.53 fof(fact_length__remdups__leq,axiom, % 153.71/153.53 ! [V_xs,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ). % 153.71/153.53 % 153.71/153.53 fof(fact_remdups__map__remdups,axiom, % 153.71/153.53 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremdups(T_c,V_xs_2))) = c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 153.71/153.53 % 153.71/153.53 fof(fact_embed__list__def,axiom, % 153.71/153.53 ! [V_l_2] : c_List_Oembed__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_l_2) ). % 153.71/153.53 % 153.71/153.53 fof(fact_set__remdups,axiom, % 153.71/153.53 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 153.71/153.53 % 153.71/153.53 fof(fact_sorted__remdups,axiom, % 153.71/153.53 ! [V_l,T_a] : % 153.71/153.53 ( class_Orderings_Olinorder(T_a) % 153.71/153.53 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 153.71/153.53 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_remdups__eq__nil__iff,axiom, % 153.71/153.53 ! [V_x_2,T_b] : % 153.71/153.53 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b) % 153.71/153.53 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_remdups__eq__nil__right__iff,axiom, % 153.71/153.53 ! [V_x_2,T_b] : % 153.71/153.53 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2) % 153.71/153.53 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_remdups_Osimps_I1_J,axiom, % 153.71/153.53 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 153.71/153.53 % 153.71/153.53 fof(fact_remove1__remdups,axiom, % 153.71/153.53 ! [V_x,V_xs,T_a] : % 153.71/153.53 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 153.71/153.53 => c_List_Oremove1(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oremove1(T_a,V_x,V_xs)) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_remdups__id__iff__distinct,axiom, % 153.71/153.53 ! [V_xs_2,T_b] : % 153.71/153.53 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2 % 153.71/153.53 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_distinct__remdups__id,axiom, % 153.71/153.53 ! [V_xs,T_a] : % 153.71/153.53 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 153.71/153.53 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_length__remdups__eq,axiom, % 153.71/153.53 ! [V_xs_2,T_b] : % 153.71/153.53 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 153.71/153.53 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_remdups__remdups,axiom, % 153.71/153.53 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 153.71/153.53 % 153.71/153.53 fof(fact_remdups__filter,axiom, % 153.71/153.53 ! [V_xs_2,V_Pa_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oremdups(T_b,V_xs_2)) ). % 153.71/153.53 % 153.71/153.53 fof(fact_remdups_Osimps_I2_J,axiom, % 153.71/153.53 ! [V_xs_2,V_x_2,T_b] : % 153.71/153.53 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.53 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Oremdups(T_b,V_xs_2) ) % 153.71/153.53 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.53 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oremdups(T_b,V_xs_2)) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_length__remdups__card__conv,axiom, % 153.71/153.53 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 153.71/153.53 % 153.71/153.53 fof(fact_fun__left__comm_Ofold__set__remdups,axiom, % 153.71/153.53 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 153.71/153.53 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 153.71/153.53 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),c_List_Oremdups(T_b,V_xs_2)) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 153.71/153.53 ! [V_m,V_l] : hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),V_l),V_m) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint),c_List_Oembed__list(V_l)),c_List_Oembed__list(V_m))) ). % 153.71/153.53 % 153.71/153.53 fof(fact_takeWhile__neq__rev,axiom, % 153.71/153.53 ! [V_x_2,V_xs_2,T_b] : % 153.71/153.53 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.53 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.53 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Orev(T_b),hAPP(c_List_Otl(T_b),c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_dropWhile__neq__rev,axiom, % 153.71/153.53 ! [V_x_2,V_xs_2,T_b] : % 153.71/153.53 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.53 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.53 => c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Orev(T_b),c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_dropWhile__map,axiom, % 153.71/153.53 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ). % 153.71/153.53 % 153.71/153.53 fof(fact_takeWhile__dropWhile__id,axiom, % 153.71/153.53 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) = V_xs_2 ). % 153.71/153.53 % 153.71/153.53 fof(fact_length__dropWhile__le,axiom, % 153.71/153.53 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 153.71/153.53 % 153.71/153.53 fof(fact_distinct__dropWhile,axiom, % 153.71/153.53 ! [V_Pa_2,V_xs_2,T_b] : % 153.71/153.53 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 153.71/153.53 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_dropWhile_Osimps_I1_J,axiom, % 153.71/153.53 ! [V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 153.71/153.53 % 153.71/153.53 fof(fact_sorted__dropWhile,axiom, % 153.71/153.53 ! [V_Pa_2,V_xs_2,T_b] : % 153.71/153.53 ( class_Orderings_Olinorder(T_b) % 153.71/153.53 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 153.71/153.53 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_dropWhile_Osimps_I2_J,axiom, % 153.71/153.53 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 153.71/153.53 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.53 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) ) % 153.71/153.53 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.53 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_hd__dropWhile,axiom, % 153.71/153.53 ! [V_xs_2,V_Pa_2,T_b] : % 153.71/153.53 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b) % 153.71/153.53 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_dropWhile__eq__Nil__conv,axiom, % 153.71/153.53 ! [V_xs_2,V_Pa_2,T_b] : % 153.71/153.53 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b) % 153.71/153.53 <=> ! [B_x] : % 153.71/153.53 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.53 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_dropWhile__append1,axiom, % 153.71/153.53 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 153.71/153.53 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.53 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 153.71/153.53 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_dropWhile__eq__Cons__conv,axiom, % 153.71/153.53 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] : % 153.71/153.53 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 153.71/153.53 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) % 153.71/153.53 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_dropWhile__eq__drop,axiom, % 153.71/153.53 ! [V_xs_2,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ). % 153.71/153.53 % 153.71/153.53 fof(fact_dropWhile__nth,axiom, % 153.71/153.53 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 153.71/153.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) % 153.71/153.53 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_listsum__map__filter,axiom, % 153.71/153.53 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] : % 153.71/153.53 ( class_Groups_Omonoid__add(T_c) % 153.71/153.53 => ( ! [B_x] : % 153.71/153.53 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 153.71/153.53 => ( ~ hBOOL(hAPP(V_Pa_2,B_x)) % 153.71/153.53 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) % 153.71/153.53 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_sorted__nth__monoI,axiom, % 153.71/153.53 ! [V_xs,T_a] : % 153.71/153.53 ( class_Orderings_Olinorder(T_a) % 153.71/153.53 => ( ! [B_i,B_j] : % 153.71/153.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 153.71/153.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 153.71/153.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_j))) ) ) % 153.71/153.53 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 153.71/153.53 % 153.71/153.53 fof(fact_n__lists_Osimps_I2_J,axiom, % 153.71/153.53 ! [V_xs_2,V_na_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_na_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_na_2,V_xs_2))) ). % 153.71/153.53 % 153.71/153.53 fof(fact_sublists__powset,axiom, % 153.71/153.53 ! [V_xs_2,T_b] : hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_Osublists(T_b,V_xs_2))) = hAPP(c_Set_OPow(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 153.71/153.53 % 153.71/153.53 %----Arity declarations (201) % 153.71/153.53 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 153.71/153.53 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Lattices_Obounded__lattice(T_1) % 153.71/153.53 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 153.71/153.53 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Lattices_Obounded__lattice(T_1) % 153.71/153.53 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Lattices_Obounded__lattice(T_1) % 153.71/153.53 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Lattices_Olattice(T_1) % 153.71/153.53 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Lattices_Olattice(T_1) % 153.71/153.53 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Lattices_Odistrib__lattice(T_1) % 153.71/153.53 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Lattices_Oboolean__algebra(T_1) % 153.71/153.53 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Orderings_Opreorder,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Orderings_Opreorder(T_1) % 153.71/153.53 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Finite__Set_Ofinite,axiom, % 153.71/153.53 ! [T_1,T_2] : % 153.71/153.53 ( ( class_Finite__Set_Ofinite(T_2) % 153.71/153.53 & class_Finite__Set_Ofinite(T_1) ) % 153.71/153.53 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Lattices_Olattice,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Lattices_Olattice(T_1) % 153.71/153.53 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Orderings_Oorder,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Orderings_Oorder(T_1) % 153.71/153.53 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Orderings_Otop,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Orderings_Otop(T_1) % 153.71/153.53 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Orderings_Oord,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Orderings_Oord(T_1) % 153.71/153.53 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Orderings_Obot,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Orderings_Obot(T_1) % 153.71/153.53 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Groups_Ouminus,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Groups_Ouminus(T_1) % 153.71/153.53 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_fun__Groups_Ominus,axiom, % 153.71/153.53 ! [T_2,T_1] : % 153.71/153.53 ( class_Groups_Ominus(T_1) % 153.71/153.53 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 153.71/153.53 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 153.71/153.53 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 153.71/153.53 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 153.71/153.53 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 153.71/153.53 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 153.71/153.53 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 153.71/153.53 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 153.71/153.53 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 153.71/153.53 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 153.71/153.53 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 153.71/153.53 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 153.71/153.53 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 153.71/153.53 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 153.71/153.53 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 153.71/153.53 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 153.71/153.53 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 153.71/153.53 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 153.71/153.53 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 153.71/153.53 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 153.71/153.53 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 153.71/153.53 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 153.71/153.53 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 153.71/153.53 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 153.71/153.53 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 153.71/153.53 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 153.71/153.53 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 153.71/153.53 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 153.71/153.53 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 153.71/153.53 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 153.71/153.53 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 153.71/153.53 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 153.71/153.53 class_Divides_Osemiring__div(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 153.71/153.53 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 153.71/153.53 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 153.71/153.53 class_Groups_Oab__group__add(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 153.71/153.53 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 153.71/153.53 class_Rings_Oordered__ring(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 153.71/153.53 class_Orderings_Opreorder(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 153.71/153.53 class_Orderings_Olinorder(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 153.71/153.53 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 153.71/153.53 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 153.71/153.53 class_Groups_Omonoid__add(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Smallcheck_Osmall,axiom, % 153.71/153.53 class_Smallcheck_Osmall(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 153.71/153.53 class_Rings_Osemiring__1(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 153.71/153.53 class_Rings_Osemiring__0(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 153.71/153.53 class_Lattices_Olattice(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 153.71/153.53 class_Groups_Ogroup__add(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 153.71/153.53 class_Divides_Oring__div(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 153.71/153.53 class_Rings_Omult__zero(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom, % 153.71/153.53 class_Rings_Ocomm__ring(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 153.71/153.53 class_Orderings_Oorder(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 153.71/153.53 class_Int_Oring__char__0(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 153.71/153.53 class_Int_Onumber__ring(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 153.71/153.53 class_Rings_Osemiring(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Orderings_Oord,axiom, % 153.71/153.53 class_Orderings_Oord(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 153.71/153.53 class_Groups_Ouminus(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 153.71/153.53 class_Groups_Osgn__if(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 153.71/153.53 class_Groups_Oabs__if(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 153.71/153.53 class_Rings_Oring__1(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Ominus,axiom, % 153.71/153.53 class_Groups_Ominus(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Power_Opower,axiom, % 153.71/153.53 class_Power_Opower(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Ozero,axiom, % 153.71/153.53 class_Groups_Ozero(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Oring,axiom, % 153.71/153.53 class_Rings_Oring(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Oidom,axiom, % 153.71/153.53 class_Rings_Oidom(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Int_Onumber,axiom, % 153.71/153.53 class_Int_Onumber(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Groups_Oone,axiom, % 153.71/153.53 class_Groups_Oone(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Int__Oint__Rings_Odvd,axiom, % 153.71/153.53 class_Rings_Odvd(tc_Int_Oint) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 153.71/153.53 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 153.71/153.53 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 153.71/153.53 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 153.71/153.53 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 153.71/153.53 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 153.71/153.53 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 153.71/153.53 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 153.71/153.53 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 153.71/153.53 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 153.71/153.53 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 153.71/153.53 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 153.71/153.53 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 153.71/153.53 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 153.71/153.53 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 153.71/153.53 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 153.71/153.53 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 153.71/153.53 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 153.71/153.53 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 153.71/153.53 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 153.71/153.53 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 153.71/153.53 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 153.71/153.53 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 153.71/153.53 class_Orderings_Owellorder(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 153.71/153.53 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 153.71/153.53 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 153.71/153.53 class_Orderings_Opreorder(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 153.71/153.53 class_Orderings_Olinorder(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 153.71/153.53 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 153.71/153.53 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 153.71/153.53 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 153.71/153.53 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 153.71/153.53 class_Lattices_Olattice(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 153.71/153.53 class_Rings_Omult__zero(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 153.71/153.53 class_Orderings_Oorder(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 153.71/153.53 class_Rings_Osemiring(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 153.71/153.53 class_Orderings_Oord(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 153.71/153.53 class_Orderings_Obot(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 153.71/153.53 class_Groups_Ominus(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Power_Opower,axiom, % 153.71/153.53 class_Power_Opower(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 153.71/153.53 class_Groups_Ozero(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Int_Onumber,axiom, % 153.71/153.53 class_Int_Onumber(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Groups_Oone,axiom, % 153.71/153.53 class_Groups_Oone(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Nat__Onat__Rings_Odvd,axiom, % 153.71/153.53 class_Rings_Odvd(tc_Nat_Onat) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 153.71/153.53 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 153.71/153.53 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 153.71/153.53 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 153.71/153.53 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 153.71/153.53 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 153.71/153.53 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 153.71/153.53 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 153.71/153.53 class_Orderings_Opreorder(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 153.71/153.53 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 153.71/153.53 class_Lattices_Olattice(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 153.71/153.53 class_Orderings_Oorder(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 153.71/153.53 class_Orderings_Otop(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 153.71/153.53 class_Orderings_Oord(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 153.71/153.53 class_Orderings_Obot(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 153.71/153.53 class_Groups_Ouminus(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 153.71/153.53 class_Groups_Ominus(tc_HOL_Obool) ). % 153.71/153.53 % 153.71/153.53 fof(arity_sum__Finite__Set_Ofinite,axiom, % 153.71/153.53 ! [T_1,T_2] : % 153.71/153.53 ( ( class_Finite__Set_Ofinite(T_2) % 153.71/153.53 & class_Finite__Set_Ofinite(T_1) ) % 153.71/153.53 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 153.71/153.53 ! [T_1] : % 153.71/153.53 ( class_Finite__Set_Ofinite(T_1) % 153.71/153.53 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_prod__Finite__Set_Ofinite,axiom, % 153.71/153.53 ! [T_1,T_2] : % 153.71/153.53 ( ( class_Finite__Set_Ofinite(T_2) % 153.71/153.53 & class_Finite__Set_Ofinite(T_1) ) % 153.71/153.53 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_prod__Smallcheck_Osmall,axiom, % 153.71/153.53 ! [T_1,T_2] : % 153.71/153.53 ( ( class_Smallcheck_Osmall(T_2) % 153.71/153.53 & class_Smallcheck_Osmall(T_1) ) % 153.71/153.53 => class_Smallcheck_Osmall(tc_prod(T_2,T_1)) ) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 153.71/153.53 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Product____Type__Ounit__Smallcheck_Osmall,axiom, % 153.71/153.53 class_Smallcheck_Osmall(tc_Product__Type_Ounit) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 153.71/153.53 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 153.71/153.53 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 153.71/153.53 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 153.71/153.53 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 153.71/153.53 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 153.71/153.53 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 153.71/153.53 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 153.71/153.53 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 153.71/153.53 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 153.71/153.53 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 153.71/153.53 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 153.71/153.53 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 153.71/153.53 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 153.71/153.53 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 153.71/153.53 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 153.71/153.53 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 153.71/153.53 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 153.71/153.53 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 153.71/153.53 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 153.71/153.53 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 153.71/153.53 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 153.71/153.53 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 153.71/153.53 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 153.71/153.53 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 153.71/153.53 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 153.71/153.53 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 153.71/153.53 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 153.71/153.53 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 153.71/153.53 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 153.71/153.53 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 153.71/153.53 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 153.71/153.53 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 153.71/153.53 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 153.71/153.53 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 153.71/153.53 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 153.71/153.53 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom, % 153.71/153.53 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ). % 153.71/153.53 % 153.71/153.53 %----Helper facts (20) % 153.71/153.53 fof(help_c__COMBI__1,axiom, % 153.71/153.53 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 153.71/153.53 % 153.71/153.53 fof(help_c__COMBK__1,axiom, % 153.71/153.53 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 153.71/153.53 % 153.71/153.53 fof(help_c__COMBB__1,axiom, % 153.71/153.53 ! [V_R_2,V_Qa_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Qa_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Qa_2,V_R_2)) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__COMBC__1,axiom, % 153.71/153.53 ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Qa_2) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__COMBS__1,axiom, % 153.71/153.53 ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Qa_2,V_R_2)) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fequal__1,axiom, % 153.71/153.53 ! [V_y_2,V_x_2] : % 153.71/153.53 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 153.71/153.53 | V_x_2 = V_y_2 ) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fequal__2,axiom, % 153.71/153.53 ! [V_y_2,V_x_2] : % 153.71/153.53 ( V_x_2 != V_y_2 % 153.71/153.53 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fFalse__1,axiom, % 153.71/153.53 ~ hBOOL(c_fFalse) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fTrue__1,axiom, % 153.71/153.53 hBOOL(c_fTrue) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fNot__1,axiom, % 153.71/153.53 ! [V_Pa_2] : % 153.71/153.53 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2)) % 153.71/153.53 | ~ hBOOL(V_Pa_2) ) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fNot__2,axiom, % 153.71/153.53 ! [V_Pa_2] : % 153.71/153.53 ( ~ ~ hBOOL(V_Pa_2) % 153.71/153.53 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fconj__1,axiom, % 153.71/153.53 ! [V_Qa_2,V_Pa_2] : % 153.71/153.53 ( ~ hBOOL(V_Pa_2) % 153.71/153.53 | ~ hBOOL(V_Qa_2) % 153.71/153.53 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fconj__2,axiom, % 153.71/153.53 ! [V_Qa_2,V_Pa_2] : % 153.71/153.53 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) % 153.71/153.53 | hBOOL(V_Pa_2) ) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fconj__3,axiom, % 153.71/153.53 ! [V_Qa_2,V_Pa_2] : % 153.71/153.53 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) % 153.71/153.53 | hBOOL(V_Qa_2) ) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fdisj__1,axiom, % 153.71/153.53 ! [V_Qa_2,V_Pa_2] : % 153.71/153.53 ( ~ hBOOL(V_Pa_2) % 153.71/153.53 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fdisj__2,axiom, % 153.71/153.53 ! [V_Pa_2,V_Qa_2] : % 153.71/153.53 ( ~ hBOOL(V_Qa_2) % 153.71/153.53 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fdisj__3,axiom, % 153.71/153.53 ! [V_Qa_2,V_Pa_2] : % 153.71/153.53 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) % 153.71/153.53 | hBOOL(V_Pa_2) % 153.71/153.53 | hBOOL(V_Qa_2) ) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fimplies__1,axiom, % 153.71/153.53 ! [V_Qa_2,V_Pa_2] : % 153.71/153.53 ( hBOOL(V_Pa_2) % 153.71/153.53 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fimplies__2,axiom, % 153.71/153.53 ! [V_Pa_2,V_Qa_2] : % 153.71/153.53 ( ~ hBOOL(V_Qa_2) % 153.71/153.53 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ). % 153.71/153.53 % 153.71/153.53 fof(help_c__fimplies__3,axiom, % 153.71/153.53 ! [V_Qa_2,V_Pa_2] : % 153.71/153.53 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) % 153.71/153.53 | ~ hBOOL(V_Pa_2) % 153.71/153.53 | hBOOL(V_Qa_2) ) ). % 153.71/153.53 % 153.71/153.53 %----Conjectures (1) % 153.71/153.53 fof(conj_0,conjecture, % 153.71/153.53 ( ! [B_Z,B_s] : % 153.71/153.53 ( v_P(B_Z,B_s) % 153.71/153.53 => ! [B_s_H] : % 153.71/153.53 ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),B_s,v_n,B_s_H) % 153.71/153.53 => v_Q(B_Z,B_s_H) ) ) % 153.71/153.53 <=> ! [B_Z,B_s] : % 153.71/153.53 ( v_P(B_Z,B_s) % 153.71/153.53 => ! [B_s_H] : % 153.71/153.53 ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),B_s,hAPP(c_Nat_OSuc,v_n),B_s_H) % 153.71/153.53 => v_Q(B_Z,B_s_H) ) ) ) ). % 153.71/153.53 % 153.71/153.53 %------------------------------------------------------------------------------ % 153.71/153.53 %------------------------------------------- % 153.71/153.53 % Proof found % 153.71/153.53 % SZS status Theorem for theBenchmark % 153.71/153.53 % SZS output start Proof % 153.71/153.53 %ClaNum:9972(EqnAxiom:2741) % 153.71/153.53 %VarNum:67802(SingletonVarNum:20093) % 153.71/153.53 %MaxLitNum:8 % 153.71/153.53 %MaxfuncDepth:13 % 153.71/153.53 %SharedTerms:1037 % 153.71/153.53 %goalClause: 4431 4440 4441 4463 5529 5572 5753 5775 6593 7658 % 153.71/153.53 [2745]P1(a834) % 153.71/153.53 [2746]P1(a1) % 153.71/153.53 [2747]P1(a98) % 153.71/153.53 [2748]P134(a173) % 153.71/153.53 [2749]P2(a834) % 153.71/153.53 [2750]P2(a1) % 153.71/153.53 [2751]P2(a98) % 153.71/153.53 [2752]P3(a834) % 153.71/153.53 [2753]P3(a1) % 153.71/153.53 [2754]P3(a98) % 153.71/153.53 [2755]P4(a834) % 153.71/153.53 [2756]P4(a1) % 153.71/153.53 [2757]P4(a98) % 153.71/153.53 [2758]P5(a834) % 153.71/153.53 [2759]P5(a1) % 153.71/153.53 [2760]P5(a98) % 153.71/153.53 [2761]P64(a834) % 153.71/153.53 [2762]P64(a1) % 153.71/153.53 [2763]P64(a98) % 153.71/153.53 [2764]P65(a834) % 153.71/153.53 [2765]P65(a1) % 153.71/153.53 [2766]P65(a98) % 153.71/153.53 [2767]P66(a1) % 153.71/153.53 [2768]P82(a834) % 153.71/153.53 [2769]P82(a1) % 153.71/153.53 [2770]P82(a98) % 153.71/153.53 [2771]P135(a834) % 153.71/153.53 [2772]P135(a1) % 153.71/153.53 [2773]P71(a834) % 153.71/153.53 [2774]P71(a1) % 153.71/153.53 [2775]P71(a98) % 153.71/153.53 [2776]P77(a834) % 153.71/153.53 [2777]P77(a1) % 153.71/153.53 [2778]P77(a98) % 153.71/153.53 [2779]P107(a1) % 153.71/153.53 [2780]P78(a834) % 153.71/153.53 [2781]P78(a1) % 153.71/153.53 [2782]P78(a98) % 153.71/153.53 [2783]P114(a834) % 153.71/153.53 [2784]P114(a1) % 153.71/153.53 [2785]P114(a98) % 153.71/153.53 [2786]P83(a834) % 153.71/153.53 [2787]P83(a1) % 153.71/153.53 [2788]P83(a98) % 153.71/153.53 [2789]P96(a834) % 153.71/153.53 [2790]P96(a831) % 153.71/153.53 [2791]P96(a1) % 153.71/153.53 [2792]P96(a98) % 153.71/153.53 [2793]P97(a834) % 153.71/153.53 [2794]P97(a1) % 153.71/153.53 [2795]P97(a98) % 153.71/153.53 [2796]P100(a834) % 153.71/153.53 [2797]P100(a831) % 153.71/153.53 [2798]P100(a1) % 153.71/153.53 [2799]P100(a98) % 153.71/153.53 [2800]P99(a834) % 153.71/153.53 [2801]P99(a831) % 153.71/153.53 [2802]P99(a1) % 153.71/153.53 [2803]P99(a98) % 153.71/153.53 [2804]P117(a1) % 153.71/153.53 [2805]P129(a1) % 153.71/153.53 [2806]P108(a1) % 153.71/153.53 [2807]P67(a1) % 153.71/153.53 [2808]P72(a834) % 153.71/153.53 [2809]P72(a1) % 153.71/153.53 [2810]P72(a98) % 153.71/153.53 [2811]P68(a834) % 153.71/153.53 [2812]P68(a1) % 153.71/153.53 [2813]P68(a98) % 153.71/153.53 [2814]P73(a834) % 153.71/153.53 [2815]P73(a1) % 153.71/153.53 [2816]P73(a98) % 153.71/153.53 [2817]P62(a834) % 153.71/153.53 [2818]P62(a1) % 153.71/153.53 [2819]P62(a98) % 153.71/153.53 [2820]P130(a1) % 153.71/153.53 [2821]P101(a1) % 153.71/153.53 [2822]P84(a1) % 153.71/153.53 [2823]P74(a1) % 153.71/153.53 [2824]P6(a1) % 153.71/153.53 [2825]P118(a834) % 153.71/153.53 [2826]P118(a1) % 153.71/153.53 [2827]P118(a98) % 153.71/153.53 [2828]P131(a1) % 153.71/153.53 [2829]P119(a834) % 153.71/153.53 [2830]P119(a1) % 153.71/153.53 [2831]P119(a98) % 153.71/153.53 [2832]P136(a834) % 153.71/153.53 [2833]P136(a1) % 153.71/153.53 [2834]P136(a98) % 153.71/153.53 [2835]P132(a834) % 153.71/153.53 [2836]P132(a1) % 153.71/153.53 [2837]P132(a98) % 153.71/153.53 [2838]P106(a834) % 153.71/153.53 [2839]P106(a1) % 153.71/153.53 [2840]P106(a98) % 153.71/153.53 [2841]P115(a1) % 153.71/153.53 [2842]P112(a834) % 153.71/153.53 [2843]P112(a1) % 153.71/153.53 [2844]P112(a98) % 153.71/153.53 [2845]P120(a834) % 153.71/153.53 [2846]P120(a1) % 153.71/153.53 [2847]P120(a98) % 153.71/153.53 [2848]P116(a1) % 153.71/153.53 [2849]P79(a1) % 153.71/153.53 [2850]P121(a1) % 153.71/153.53 [2851]P75(a834) % 153.71/153.53 [2852]P75(a1) % 153.71/153.53 [2853]P75(a98) % 153.71/153.53 [2854]P124(a834) % 153.71/153.53 [2855]P124(a1) % 153.71/153.53 [2856]P124(a98) % 153.71/153.53 [2857]P125(a1) % 153.71/153.53 [2858]P127(a834) % 153.71/153.53 [2859]P127(a1) % 153.71/153.53 [2860]P127(a98) % 153.71/153.53 [2861]P126(a834) % 153.71/153.53 [2862]P126(a1) % 153.71/153.53 [2863]P126(a98) % 153.71/153.53 [2864]P122(a834) % 153.71/153.53 [2865]P122(a1) % 153.71/153.53 [2866]P122(a98) % 153.71/153.53 [2867]P123(a1) % 153.71/153.53 [2868]P87(a831) % 153.71/153.53 [2869]P7(a834) % 153.71/153.53 [2870]P7(a1) % 153.71/153.53 [2871]P7(a98) % 153.71/153.53 [2872]P8(a1) % 153.71/153.53 [2873]P81(a831) % 153.71/153.53 [2874]P81(a1) % 153.71/153.53 [2875]P69(a834) % 153.71/153.53 [2876]P69(a831) % 153.71/153.53 [2877]P69(a1) % 153.71/153.53 [2878]P69(a98) % 153.71/153.53 [2879]P85(a1) % 153.71/153.53 [2880]P76(a1) % 153.71/153.53 [2881]P86(a834) % 153.71/153.53 [2882]P86(a1) % 153.71/153.53 [2883]P86(a98) % 153.71/153.53 [2884]P128(a1) % 153.71/153.53 [2885]P63(a1) % 153.71/153.53 [2886]P102(a834) % 153.71/153.53 [2887]P102(a1) % 153.71/153.53 [2888]P102(a98) % 153.71/153.53 [2889]P133(a834) % 153.71/153.53 [2890]P133(a1) % 153.71/153.53 [2891]P133(a98) % 153.71/153.53 [2892]P109(a834) % 153.71/153.53 [2893]P109(a1) % 153.71/153.53 [2894]P109(a98) % 153.71/153.53 [2895]P105(a1) % 153.71/153.53 [2896]P89(a834) % 153.71/153.53 [2897]P89(a831) % 153.71/153.53 [2898]P89(a1) % 153.71/153.53 [2899]P94(a834) % 153.71/153.53 [2900]P94(a831) % 153.71/153.53 [2901]P94(a1) % 153.71/153.53 [2902]P9(a831) % 153.71/153.53 [2903]P103(a831) % 153.71/153.53 [2904]P90(a831) % 153.71/153.53 [2905]P98(a834) % 153.71/153.53 [2906]P98(a831) % 153.71/153.53 [2907]P91(a831) % 153.71/153.53 [2908]P57(a831) % 153.71/153.53 [2909]P57(a837) % 153.71/153.53 [2910]P95(a834) % 153.71/153.53 [2911]P95(a831) % 153.71/153.53 [2912]P95(a1) % 153.71/153.53 [2913]P93(a834) % 153.71/153.53 [2914]P93(a831) % 153.71/153.53 [2915]P93(a1) % 153.71/153.53 [2916]P70(a834) % 153.71/153.53 [2917]P70(a1) % 153.71/153.53 [2918]P70(a98) % 153.71/153.53 [2919]P104(a834) % 153.71/153.53 [2920]P137(a1) % 153.71/153.53 [2921]P137(a837) % 153.71/153.53 [2922]P80(a834) % 153.71/153.53 [2923]P80(a1) % 153.71/153.53 [2924]P80(a98) % 153.71/153.53 [2925]P92(a831) % 153.71/153.53 [2937]P33(a834,a232) % 153.71/153.53 [2938]P33(a834,a318) % 153.71/153.53 [4294]~E(a96,a87) % 153.71/153.53 [4295]~P134(a174) % 153.71/153.53 [2742]E(f2(a1),a87) % 153.71/153.53 [2743]E(f3(a98),a4) % 153.71/153.53 [2744]E(f99(a98),a5) % 153.71/153.53 [2926]E(f34(a25),f2(a834)) % 153.71/153.53 [2927]E(f88(a174),f2(a834)) % 153.71/153.53 [2928]E(f88(a173),f2(a834)) % 153.71/153.53 [2929]E(f175(a834),f100(a834)) % 153.71/153.53 [2930]E(f176(a834),f2(a834)) % 153.71/153.53 [2931]E(f231(a834),f101(a834)) % 153.71/153.53 [2932]E(f102(a1),f39(a1)) % 153.71/153.53 [2933]P10(f2(a1)) % 153.71/153.53 [2934]P10(f82(a1)) % 153.71/153.53 [2978]P134(f327(a27,a25)) % 153.71/153.53 [2987]P33(f840(a834,a834),a40) % 153.71/153.53 [3015]E(f162(a833,a832,a29),a30) % 153.71/153.53 [3331]E(f321(a834,a834,a232,a232),a40) % 153.71/153.53 [4298]~E(f82(a1),f2(a1)) % 153.71/153.53 [2935]E(f110(f2(a834)),f2(a834)) % 153.71/153.53 [2936]E(f6(f2(a98)),f2(a834)) % 153.71/153.53 [2941]E(f327(f83(a1),a87),a87) % 153.71/153.53 [2945]E(f327(a5,f2(a834)),f2(a98)) % 153.71/153.53 [2946]E(f327(a111,f2(a834)),f82(a834)) % 153.71/153.53 [2947]E(f327(a104,f82(a1)),f82(a834)) % 153.71/153.53 [2948]E(f327(a5,f82(a834)),f82(a98)) % 153.71/153.53 [2950]E(f327(f103(a1),a87),f2(a1)) % 153.71/153.53 [2951]E(f327(f103(a98),a87),f2(a98)) % 153.71/153.53 [2952]E(f327(a104,f2(a1)),f2(a834)) % 153.71/153.53 [2953]E(f327(f177(a832),a25),f2(a834)) % 153.71/153.53 [2954]E(f327(f177(a831),a174),f2(a834)) % 153.71/153.53 [2955]E(f327(f177(a831),a173),f2(a834)) % 153.71/153.53 [2956]E(f327(f103(a834),a87),f2(a834)) % 153.71/153.53 [2962]E(f327(f83(a1),f82(a1)),a96) % 153.71/153.53 [2970]E(f327(f177(a98),f2(a98)),f2(a834)) % 153.71/153.53 [2971]E(f327(f99(a1),f2(a834)),f2(a1)) % 153.71/153.53 [2972]E(f327(f99(a1),f82(a834)),f82(a1)) % 153.71/153.53 [2973]E(f327(f83(a1),f2(a1)),f2(a1)) % 153.71/153.53 [2983]E(f327(a104,f82(a1)),f327(a111,f2(a834))) % 153.71/153.53 [2985]E(f319(f840(a834,a834),a40),a41) % 153.71/153.53 [2986]E(f320(f840(a834,a834),a40),a42) % 153.71/153.53 [3006]E(f327(f252(a834),f2(a834)),f176(f841(a834,a831))) % 153.71/153.53 [3007]E(f327(f253(a834),f2(a834)),f234(f841(a834,a831))) % 153.71/153.53 [3017]P35(f176(f841(a1,a831))) % 153.71/153.53 [3055]E(f327(f327(f3(a98),f2(a98)),f82(a98)),f2(a98)) % 153.71/153.53 [3126]P134(f327(f327(f228(a1),a96),f2(a1))) % 153.71/153.53 [3151]P134(f327(f327(f228(a1),f2(a1)),f82(a1))) % 153.71/153.53 [3153]P134(f327(f327(f227(a1),f2(a1)),f82(a1))) % 153.71/153.53 [3320]P134(f327(f66(a833),f165(a833,a832,a30))) % 153.71/153.53 [3364]E(f327(f327(f276(a834,a834,a834),a318),f295(a834,a318)),a232) % 153.71/153.53 [3400]P37(a1,a834,a104,f327(f227(a1),f2(a1))) % 153.71/153.53 [3403]E(f327(f327(f47(a834,f841(a834,a831)),f234(f841(a834,a831))),f252(a834)),f234(f841(a834,a831))) % 153.71/153.53 [3404]E(f327(f327(f47(a834,f841(a834,a831)),f234(f841(a834,a831))),f288(a834)),f234(f841(a834,a831))) % 153.71/153.53 [3405]E(f327(f327(f47(a834,f841(a834,a831)),f234(f841(a834,a831))),f253(a834)),f234(f841(a834,a831))) % 153.71/153.53 [3406]E(f327(f327(f48(a834,f841(a834,a831)),f234(f841(a834,a831))),f291(a834)),f176(f841(a834,a831))) % 153.71/153.53 [3421]P28(a834,a1,f99(a1),f234(f841(a834,a831))) % 153.71/153.53 [3434]P37(a834,a1,f99(a1),f327(f18(a831,a834),a173)) % 153.71/153.53 [3566]E(f327(f77(a834,a98,a1,a5),a104),f103(a98)) % 153.71/153.53 [3782]P53(a98,a834,a22,a5,f234(f841(a834,a831))) % 153.71/153.53 [3788]P53(a1,f841(f840(a834,a834),a831),a106,a93,a97) % 153.71/153.53 [4058]E(f247(a1,a1,a1,a1,f39(a1),f83(a1)),a59) % 153.71/153.53 [4327]~E(f327(f103(a1),a96),f327(f103(a1),a87)) % 153.71/153.53 [4328]~P134(f327(a182,f2(a1))) % 153.71/153.53 [4329]~P134(f327(a182,f82(a1))) % 153.71/153.53 [4385]~P134(f327(f327(f228(a1),a87),f2(a1))) % 153.71/153.53 [3001]E(f327(f327(f3(a1),a96),a96),a87) % 153.71/153.53 [3014]E(f327(f99(a1),f327(a111,f2(a834))),f82(a1)) % 153.71/153.53 [3079]E(f327(f43(a837),f234(f841(a837,a831))),f82(a834)) % 153.71/153.53 [3102]P134(f327(a182,f327(f103(a1),a96))) % 153.71/153.53 [3103]P134(f327(f327(f228(a1),a96),a87)) % 153.71/153.53 [3105]P134(f327(f327(f227(a1),a96),a87)) % 153.71/153.53 [3163]E(f327(f327(f297(a834),f2(a834)),f176(f841(a834,a831))),f327(f288(a834),f2(a834))) % 153.71/153.53 [3218]P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),a87))) % 153.71/153.53 [3229]E(f327(f298(a834,a834,a111),f234(f841(a834,a831))),f327(f291(a834),f2(a834))) % 153.71/153.53 [3267]P12(f840(a834,a834),f234(f841(f840(a834,a834),a831)),a108) % 153.71/153.53 [3573]E(f327(f77(a834,a1,a98,f99(a1)),a22),a23) % 153.71/153.53 [3631]P33(a834,f327(f251(f840(a834,a834)),f327(f246(a834,a834,a831),f228(a834)))) % 153.71/153.53 [4376]~P134(f327(a182,f327(f103(a1),a87))) % 153.71/153.53 [4377]~P134(f327(f327(f228(a1),a96),a96)) % 153.71/153.53 [4378]~P134(f327(f327(f228(a1),a87),a96)) % 153.71/153.53 [4379]~P134(f327(f327(f228(a1),a87),a87)) % 153.71/153.53 [4380]~P134(f327(f327(f227(a1),a87),a96)) % 153.71/153.53 [4395]~P134(f327(f66(a834),f234(f841(a834,a831)))) % 153.71/153.53 [4396]~P134(f327(f66(a1),f234(f841(a1,a831)))) % 153.71/153.53 [4226]E(f327(f246(a1,a1,a831),f327(f327(f10(f841(a1,a831),f841(a1,a831),a1),f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f228(a1),f2(a1))))),f327(f327(f9(a1,a1,f841(a1,a831)),f327(f327(f10(f841(a1,f841(a1,a831)),f841(a1,f841(a1,a831)),a1),f9(a1,a1,a831)),f327(f327(f10(f841(a1,a1),f841(a1,f841(a1,a831)),a1),f327(f10(a1,f841(a1,a831),a1),a324)),a207))),f82(a1)))),a203) % 153.71/153.53 [3302]E(f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96),f327(f83(a1),a96)) % 153.71/153.53 [3346]E(f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96),f327(f327(f3(a1),a87),a96)) % 153.71/153.53 [3497]E(f327(f327(f62(f840(a834,a834)),f234(f841(f840(a834,a834),a831))),a108),a97) % 153.71/153.53 [3527]E(f327(f103(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f82(a1)) % 153.71/153.53 [3528]E(f327(f103(a98),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f82(a98)) % 153.71/153.53 [3529]E(f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f82(a834)) % 153.71/153.53 [3535]E(f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(a111,f2(a834))) % 153.71/153.53 [3919]E(f327(f327(f100(f841(f840(f840(a834,a834),f840(a834,a834)),a831)),a40),f295(f840(a834,a834),f176(f841(f840(f840(a834,a834),f840(a834,a834)),a831)))),a74) % 153.71/153.53 [3990]E(f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),f2(a834)),f2(a834))),f176(f841(f840(a834,a834),a831))))),f2(a1)) % 153.71/153.53 [3991]E(f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),f82(a834)),f2(a834))),f176(f841(f840(a834,a834),a831))))),f82(a1)) % 153.71/153.53 [4005]E(f327(f251(f840(a834,a834)),f327(f246(a834,a834,a831),f327(f327(f10(a834,f841(a834,a831),a834),f327(f9(a834,a834,a831),a324)),a111))),a318) % 153.71/153.53 [3974]E(f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),f327(a111,f327(a111,f2(a834)))) % 153.71/153.53 [3977]E(f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),f327(f327(f84(a834),f82(a834)),f82(a834))) % 153.71/153.53 [3978]E(f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),f327(f43(a831),f234(f841(a831,a831)))) % 153.71/153.53 [4043]P10(f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))) % 153.71/153.53 [4117]P29(f841(f840(a834,a834),a831),f327(f327(f236(f841(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),a831),f841(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),a831)),a41),a75)) % 153.71/153.53 [4118]P29(f841(f840(a834,a834),a831),f327(f327(f236(f841(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),a831),f841(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),a831)),a42),a73)) % 153.71/153.53 [4156]E(f327(f327(f100(f841(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),a831)),f320(f840(a834,a834),a74)),f327(f327(f297(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f236(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),f176(f841(f840(a834,a834),a831))),f176(f841(f840(a834,a834),a831)))),f176(f841(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),a831)))),a73) % 153.71/153.53 [4157]E(f327(f327(f100(f841(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),a831)),f319(f840(a834,a834),a74)),f327(f327(f297(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f236(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),f176(f841(f840(a834,a834),a831))),f176(f841(f840(a834,a834),a831)))),f176(f841(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),a831)))),a75) % 153.71/153.53 [4045]E(f327(a104,f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(a111,f327(a111,f2(a834)))) % 153.71/153.53 [4094]E(f327(f99(a1),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))) % 153.71/153.53 [4128]P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))) % 153.71/153.53 [4129]E(f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),a96)),f327(a111,f327(a111,f327(a111,f2(a834))))) % 153.71/153.53 [4170]P10(f327(f103(a1),f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),a96))) % 153.71/153.53 [4197]E(f327(f99(a1),f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),a96))),f327(f103(a1),f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),a96))) % 153.71/153.53 [4212]P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),a96)))) % 153.71/153.53 [2939]P11(x29391,a324) % 153.71/153.53 [3030]P36(a25,x30301,x30301) % 153.71/153.53 [3332]P28(a834,a834,a111,x33321) % 153.71/153.53 [2957]P33(a1,f105(x29571)) % 153.71/153.53 [2958]P33(a1,f107(x29581)) % 153.71/153.53 [2961]P34(x29611,f179(x29611)) % 153.71/153.53 [3003]P33(f841(x30031,a831),f294(x30031)) % 153.71/153.53 [3046]E(f53(a1,x30461,x30461),f2(a1)) % 153.71/153.53 [3099]P19(x30991,f841(x30991,a831),f297(x30991)) % 153.71/153.53 [4297]~E(f26(x42971),a25) % 153.71/153.53 [4300]~E(f327(a111,x43001),x43001) % 153.71/153.53 [4312]~E(f327(a111,x43121),f2(a834)) % 153.71/153.53 [2940]E(f34(f26(x29401)),f2(a834)) % 153.71/153.53 [2942]E(f327(f177(a834),x29421),x29421) % 153.71/153.53 [2943]E(f327(f103(a1),x29431),x29431) % 153.71/153.53 [2959]E(f327(a93,f328(x29591)),x29591) % 153.71/153.53 [2960]E(f233(x29601,f2(a98)),f2(a98)) % 153.71/153.53 [2974]E(f113(x29741,f112(x29741)),f112(x29741)) % 153.71/153.53 [2975]E(f137(x29751,f112(x29751)),f112(x29751)) % 153.71/153.53 [2979]E(f327(f177(a832),f26(x29791)),f2(a834)) % 153.71/153.53 [2980]E(f327(f150(x29801),f112(x29801)),f112(x29801)) % 153.71/153.53 [2981]E(f327(f153(x29811),f112(x29811)),f112(x29811)) % 153.71/153.53 [2982]E(f327(f151(x29821),f112(x29821)),f112(x29821)) % 153.71/153.53 [2988]E(f327(f103(a1),x29881),f327(f102(a1),x29881)) % 153.71/153.53 [2990]E(f327(a5,f327(a22,x29901)),x29901) % 153.71/153.53 [2991]E(f327(a22,f327(a5,x29911)),x29911) % 153.71/153.53 [2992]E(f327(a93,f327(a106,x29921)),x29921) % 153.71/153.53 [2993]P10(f327(f99(a1),x29931)) % 153.71/153.53 [2997]E(f327(f177(f838(x29971)),f179(x29971)),f2(a834)) % 153.71/153.53 [2998]E(f327(f177(f835(x29981)),f112(x29981)),f2(a834)) % 153.71/153.53 [3012]E(f221(x30121,f179(x30121)),f176(f841(x30121,a831))) % 153.71/153.53 [3020]E(f327(f327(f84(a834),x30201),f2(a834)),x30201) % 153.71/153.53 [3021]E(f327(f327(f84(a1),x30211),f2(a1)),x30211) % 153.71/153.53 [3022]E(f327(f327(f85(a834),x30221),f82(a834)),x30221) % 153.71/153.53 [3023]E(f327(f327(f85(a1),x30231),f82(a1)),x30231) % 153.71/153.53 [3024]E(f327(f327(f3(a834),x30241),f2(a834)),x30241) % 153.71/153.53 [3025]E(f327(f327(f175(a834),x30251),f2(a834)),x30251) % 153.71/153.53 [3026]E(f327(f327(f85(a834),x30261),f2(a834)),f2(a834)) % 153.71/153.53 [3027]E(f327(f327(f44(a1),x30271),f2(a1)),f2(a1)) % 153.71/153.53 [3028]E(f327(f327(f231(a834),x30281),f2(a834)),f2(a834)) % 153.71/153.53 [3036]E(f327(f154(x30361),f112(x30361)),f176(f841(x30361,a831))) % 153.71/153.53 [3041]P134(f327(f124(x30411),f112(x30411))) % 153.71/153.53 [3047]E(f327(f138(x30471,x30471),f7(x30471)),f39(f835(x30471))) % 153.71/153.53 [3048]E(f327(f138(x30481,x30481),f39(x30481)),f39(f835(x30481))) % 153.71/153.53 [3049]E(f327(f191(x30491,x30491),f7(x30491)),f39(f838(x30491))) % 153.71/153.53 [3050]E(f327(f191(x30501,x30501),f39(x30501)),f39(f838(x30501))) % 153.71/153.53 [3051]E(f53(a1,x30511,f2(a1)),x30511) % 153.71/153.53 [3052]E(f327(f227(a834),f327(a111,x30521)),f327(f228(a834),x30521)) % 153.71/153.53 [3053]E(f327(f252(a834),f327(a111,x30531)),f327(f288(a834),x30531)) % 153.71/153.53 [3054]E(f327(f253(a834),f327(a111,x30541)),f327(f291(a834),x30541)) % 153.71/153.53 [3056]E(f53(a1,f2(a1),x30561),f2(a1)) % 153.71/153.53 [3063]E(f327(f327(f84(a834),x30631),f82(a834)),f327(a111,x30631)) % 153.71/153.53 [3073]E(f327(f289(a834,x30731),f2(a834)),f176(f841(a834,a831))) % 153.71/153.53 [3085]E(f290(a834,f2(a834),x30851),f327(f288(a834),x30851)) % 153.71/153.53 [3129]E(f327(f327(f3(a834),f327(a111,x31291)),f82(a834)),x31291) % 153.71/153.53 [3142]E(f55(f2(a1),x31421),f327(f327(f236(a1,a1),f2(a1)),f2(a1))) % 153.71/153.53 [3191]P134(f327(f327(f228(a834),x31911),f327(a111,x31911))) % 153.71/153.53 [3205]P134(f327(f327(f228(a834),f2(a834)),f327(a111,x32051))) % 153.71/153.53 [3485]E(f327(f327(f3(a98),f327(a5,f327(a111,f327(a22,x34851)))),f82(a98)),x34851) % 153.71/153.53 [3557]P134(f327(f327(f227(a1),f327(f83(a1),f327(f99(a1),x35571))),f2(a1))) % 153.71/153.53 [3705]P134(f327(f327(f228(a1),f327(f83(a1),f327(f99(a1),f327(a111,x37051)))),f2(a1))) % 153.71/153.53 [4335]~E(f234(f841(x43351,a831)),f176(f841(x43351,a831))) % 153.71/153.53 [4388]~P134(f327(f327(f228(a834),x43881),f2(a834))) % 153.71/153.53 [4404]~P134(f327(f327(f228(a1),f327(f99(a1),x44041)),f2(a1))) % 153.71/153.53 [3002]E(f160(x30021,f112(f835(x30021))),f112(f835(x30021))) % 153.71/153.53 [3004]E(f327(f327(f85(a1),a87),x30041),a87) % 153.71/153.53 [3005]E(f327(f327(f84(a1),a87),x30051),x30051) % 153.71/153.53 [3008]E(f327(a104,f327(f99(a1),x30081)),x30081) % 153.71/153.53 [3009]E(f327(f327(f84(a1),x30091),a87),x30091) % 153.71/153.53 [3010]E(f327(f327(f3(a1),x30101),a87),x30101) % 153.71/153.53 [3013]E(f327(f327(f3(a834),x30131),x30131),f2(a834)) % 153.71/153.53 [3018]E(f327(f83(a1),f327(f83(a1),x30181)),x30181) % 153.71/153.53 [3019]E(f327(f43(a834),f327(f252(a834),x30191)),x30191) % 153.71/153.53 [3031]E(f327(f327(f84(a834),f2(a834)),x30311),x30311) % 153.71/153.53 [3032]E(f327(f327(f84(a1),f2(a1)),x30321),x30321) % 153.71/153.53 [3033]E(f327(f327(f85(a834),f82(a834)),x30331),x30331) % 153.71/153.53 [3034]E(f327(f327(f85(a1),f82(a1)),x30341),x30341) % 153.71/153.53 [3035]E(f327(f327(f175(a834),f2(a834)),x30351),x30351) % 153.71/153.53 [3042]E(f327(f327(f85(a834),f2(a834)),x30421),f2(a834)) % 153.71/153.53 [3043]E(f327(f327(f44(a1),f2(a1)),x30431),f2(a1)) % 153.71/153.53 [3044]E(f327(f327(f3(a834),f2(a834)),x30441),f2(a834)) % 153.71/153.53 [3045]E(f327(f327(f231(a834),f2(a834)),x30451),f2(a834)) % 153.71/153.53 [3061]E(f327(f289(a834,f2(a834)),x30611),f327(f252(a834),x30611)) % 153.71/153.53 [3062]E(f327(f327(f85(a1),a96),x30621),f327(f83(a1),x30621)) % 153.71/153.53 [3065]E(f327(a104,f327(f103(a1),x30651)),f327(f103(a834),x30651)) % 153.71/153.53 [3066]E(f327(a22,f327(f103(a98),x30661)),f327(f103(a834),x30661)) % 153.71/153.53 [3067]E(f327(f43(a834),f327(f288(a834),x30671)),f327(a111,x30671)) % 153.71/153.53 [3077]E(f327(f327(f84(a834),f82(a834)),x30771),f327(a111,x30771)) % 153.71/153.53 [3081]E(f327(f102(a1),f327(f99(a1),x30811)),f327(f99(a1),x30811)) % 153.71/153.53 [3082]E(f327(f79(a1),f327(f99(a1),x30821)),f327(f99(a1),x30821)) % 153.71/153.53 [3087]E(f327(f43(x30871),f176(f841(x30871,a831))),f2(a834)) % 153.71/153.53 [3089]E(f327(f327(f44(a834),x30891),f327(a111,f2(a834))),x30891) % 153.71/153.53 [3100]E(f53(a834,x31001,f327(a111,f2(a834))),f2(a834)) % 153.71/153.53 [3101]E(f53(a1,x31011,f327(f103(a1),a96)),f2(a1)) % 153.71/153.53 [3115]E(f327(f327(f44(a1),x31151),f327(f103(a1),a96)),f327(f83(a1),x31151)) % 153.71/153.53 [3119]E(f126(a834,f327(f289(a834,x31191),f2(a834))),f112(a834)) % 153.71/153.53 [3120]E(f327(f327(f3(a1),x31201),f82(a1)),f327(f327(f84(a1),x31201),a96)) % 153.71/153.53 [3121]E(f327(f327(f84(a1),x31211),f82(a1)),f327(f327(f3(a1),x31211),a96)) % 153.71/153.53 [3123]P134(f327(f327(f227(a834),x31231),x31231)) % 153.71/153.53 [3124]P134(f327(f327(f227(a1),x31241),x31241)) % 153.71/153.53 [3125]P134(f327(f327(f274(a834),x31251),x31251)) % 153.71/153.53 [3130]E(f327(f83(a1),f327(f103(a1),x31301)),f327(f103(a1),f327(f83(a1),x31301))) % 153.71/153.53 [3131]P134(f327(f66(a834),f327(f252(a834),x31311))) % 153.71/153.53 [3132]P134(f327(f66(a834),f327(f288(a834),x31321))) % 153.71/153.53 [3140]E(f144(x31401,f234(f841(x31401,a831))),f234(f841(f835(x31401),a831))) % 153.71/153.53 [3145]P134(f327(f327(f227(a834),f2(a834)),x31451)) % 153.71/153.53 [3156]E(f327(f327(f84(a834),f110(x31561)),f327(a111,f2(a834))),f110(f327(a111,x31561))) % 153.71/153.53 [3157]E(f327(f251(x31571),f327(f18(a831,x31571),a173)),f234(f841(x31571,a831))) % 153.71/153.53 [3158]E(f327(f251(x31581),f327(f18(a831,x31581),a174)),f176(f841(x31581,a831))) % 153.71/153.53 [3162]E(f327(f327(f297(a834),x31621),f327(f252(a834),x31621)),f327(f252(a834),f327(a111,x31621))) % 153.71/153.53 [3173]E(f327(f327(f84(a1),f82(a1)),f327(f99(a1),x31731)),f327(f99(a1),f327(a111,x31731))) % 153.71/153.53 [3194]E(f176(f841(f840(x31941,x31941),a831)),f255(x31941,f176(f841(x31941,a831)))) % 153.71/153.53 [3195]E(f327(f296(x31951),f234(f841(x31951,a831))),f234(f841(f841(x31951,a831),a831))) % 153.71/153.53 [3196]E(f327(f83(f841(x31961,a831)),f234(f841(x31961,a831))),f176(f841(x31961,a831))) % 153.71/153.53 [3197]E(f327(f83(f841(x31971,a831)),f176(f841(x31971,a831))),f234(f841(x31971,a831))) % 153.71/153.53 [3199]P134(f327(f66(x31991),f176(f841(x31991,a831)))) % 153.71/153.53 [3201]E(f327(f289(a834,x32011),f327(a111,x32011)),f327(f327(f297(a834),x32011),f176(f841(a834,a831)))) % 153.71/153.53 [3202]E(f89(f840(a834,a834),f56(x32021,f2(a834))),f327(f327(f236(a834,a834),f2(a834)),x32021)) % 153.71/153.53 [3217]E(f327(f327(f297(a834),f327(a111,x32171)),f327(f288(a834),x32171)),f327(f288(a834),f327(a111,x32171))) % 153.71/153.53 [3220]P33(x32201,f176(f841(f840(x32201,x32201),a831))) % 153.71/153.53 [3223]P134(f327(f327(f227(a1),f2(a1)),f327(f99(a1),x32231))) % 153.71/153.53 [3231]E(f327(f327(f84(a834),f327(f177(a834),x32311)),f327(a111,f2(a834))),f327(f177(a834),f327(a111,x32311))) % 153.71/153.53 [3339]P35(f327(f298(a834,a1,f99(a1)),x33391)) % 153.71/153.53 [3379]P45(x33791,f176(f841(x33791,a831)),f176(f841(f840(x33791,x33791),a831))) % 153.71/153.53 [3397]E(f327(f327(f236(a1,a1),f327(f103(a1),a96)),f327(f327(f3(a1),x33971),f82(a1))),f58(f327(f103(a1),a96),x33971)) % 153.71/153.53 [3446]P56(x34461,f327(f18(f841(x34461,a831),x34461),f327(f18(a831,x34461),a174))) % 153.71/153.53 [3455]E(f277(a834,f274(a834),x34551,x34551),f327(f327(f297(a834),x34551),f176(f841(a834,a831)))) % 153.71/153.53 [3645]P134(f327(f327(f329(f841(f840(a834,a834),a831)),f328(x36451)),a97)) % 153.71/153.53 [3671]P134(f327(f327(f329(f841(f840(a834,a834),a831)),f327(a106,x36711)),a97)) % 153.71/153.53 [3798]P28(x37981,f841(x37981,a831),f327(f327(f9(x37981,f841(x37981,a831),f841(x37981,a831)),f297(x37981)),f176(f841(x37981,a831))),f234(f841(x37981,a831))) % 153.71/153.53 [4331]~E(f327(f327(f84(a1),x43311),x43311),a96) % 153.71/153.53 [4375]~E(f327(a5,f327(a111,f327(a22,x43751))),f2(a98)) % 153.71/153.53 [4381]~P134(f327(a182,f327(f99(a1),x43811))) % 153.71/153.53 [4384]~P134(f327(f327(f228(a834),x43841),x43841)) % 153.71/153.53 [4397]~P134(f327(f327(f227(a834),f327(a111,x43971)),x43971)) % 153.71/153.53 [3147]E(f327(a104,f327(f83(a1),f327(f99(a1),x31471))),f2(a834)) % 153.71/153.53 [3150]E(f327(f327(f84(a1),f327(f83(a1),x31501)),x31501),f2(a1)) % 153.71/153.53 [3155]E(f327(f43(a1),f327(f289(a1,f2(a1)),x31551)),f327(a104,x31551)) % 153.71/153.53 [3166]E(f327(f327(f237(a834),f327(a111,f2(a834))),x31661),f327(a111,f2(a834))) % 153.71/153.53 [3264]E(f327(f271(x32641),f176(f841(f840(x32641,x32641),a831))),f176(f841(x32641,a831))) % 153.71/153.53 [3272]E(f46(f841(x32721,a831),f234(f841(f841(x32721,a831),a831))),f176(f841(x32721,a831))) % 153.71/153.53 [3273]E(f46(f841(x32731,a831),f176(f841(f841(x32731,a831),a831))),f234(f841(x32731,a831))) % 153.71/153.53 [3274]E(f45(f841(x32741,a831),f234(f841(f841(x32741,a831),a831))),f234(f841(x32741,a831))) % 153.71/153.53 [3275]E(f45(f841(x32751,a831),f176(f841(f841(x32751,a831),a831))),f176(f841(x32751,a831))) % 153.71/153.53 [3280]P134(f327(f327(f274(a834),f327(a111,f2(a834))),x32801)) % 153.71/153.53 [3318]E(f327(f327(f297(f835(x33181)),f112(x33181)),f176(f841(f835(x33181),a831))),f145(x33181,f112(f841(x33181,a831)))) % 153.71/153.53 [3319]E(f327(f327(f297(f835(x33191)),f112(x33191)),f176(f841(f835(x33191),a831))),f144(x33191,f176(f841(x33191,a831)))) % 153.71/153.53 [3363]E(f327(f327(f84(a834),f6(x33631)),f327(a111,f2(a834))),f6(f327(a5,f327(a111,f327(a22,x33631))))) % 153.71/153.53 [3389]E(f327(f43(a1),f327(f298(a834,a1,f99(a1)),x33891)),f327(f43(a834),x33891)) % 153.71/153.53 [3392]P134(f327(f327(f227(a834),x33921),f327(f327(f85(a834),x33921),x33921))) % 153.71/153.53 [3427]E(f327(f298(a1,a834,a104),f290(a1,f2(a1),f327(f99(a1),x34271))),f327(f288(a834),x34271)) % 153.71/153.53 [3441]E(f327(f327(f44(a834),f327(a111,f2(a834))),f327(f103(a834),x34411)),f327(a104,f327(f327(f44(a1),f82(a1)),f327(f103(a1),x34411)))) % 153.71/153.53 [3443]E(f327(f154(a834),f126(a834,f327(f289(a834,f2(a834)),f327(a111,x34431)))),f327(f288(a834),x34431)) % 153.71/153.53 [3444]E(f327(f327(f84(a834),f327(f177(a98),x34441)),f327(a111,f2(a834))),f327(f177(a98),f327(a5,f327(a111,f327(a22,x34441))))) % 153.71/153.53 [3460]E(f327(f298(a1,a834,a104),f327(f298(a834,a1,f99(a1)),x34601)),x34601) % 153.71/153.53 [3490]E(f327(f327(f297(a834),f2(a834)),f327(f298(a834,a834,a111),f327(f252(a834),x34901))),f327(f252(a834),f327(a111,x34901))) % 153.71/153.53 [3496]P51(x34961,x34961,f295(x34961,f176(f841(f840(x34961,x34961),a831)))) % 153.71/153.53 [3502]P134(f327(a182,f327(f83(a1),f327(f99(a1),f327(a111,x35021))))) % 153.71/153.53 [3513]E(f327(f327(f3(f841(a834,a831)),f327(f253(a834),x35131)),f327(f327(f297(a834),x35131),f176(f841(a834,a831)))),f327(f253(a834),f327(a111,x35131))) % 153.71/153.53 [3530]E(f327(f327(f84(a1),f327(f327(f3(a1),a87),x35301)),f327(f327(f3(a1),a87),x35301)),f327(f327(f3(a1),a87),f327(f327(f84(a1),x35301),x35301))) % 153.71/153.53 [3547]E(f327(f327(f297(f841(x35471,a831)),f176(f841(x35471,a831))),f176(f841(f841(x35471,a831),a831))),f327(f296(x35471),f176(f841(x35471,a831)))) % 153.71/153.53 [3574]E(f327(f327(f3(f841(a834,a831)),f327(f291(a834),x35741)),f327(f327(f297(a834),f327(a111,x35741)),f176(f841(a834,a831)))),f327(f291(a834),f327(a111,x35741))) % 153.71/153.53 [3583]E(f327(f327(f297(f838(x35831)),f179(x35831)),f327(f298(x35831,f838(x35831),f222(x35831)),f234(f841(x35831,a831)))),f234(f841(f838(x35831),a831))) % 153.71/153.53 [3683]E(f327(f103(a834),f327(f327(f84(a1),x36831),x36831)),f327(f327(f90(a834,a834),f327(f103(a834),x36831)),f327(f327(f20(a834,a834,a834),f84(a834)),f7(a834)))) % 153.71/153.53 [4069]P19(x40691,f841(x40691,a831),f327(f327(f10(f841(x40691,a831),f841(f841(x40691,a831),f841(x40691,a831)),x40691),f327(f9(f841(x40691,a831),f841(x40691,a831),f841(x40691,a831)),f3(f841(x40691,a831)))),f327(f327(f9(x40691,f841(x40691,a831),f841(x40691,a831)),f297(x40691)),f176(f841(x40691,a831))))) % 153.71/153.53 [4155]E(f327(f251(f840(a1,a1)),f327(f246(a1,a1,a831),f327(f327(f10(f841(a1,a831),f841(a1,a831),a1),f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f227(a1),x41551)))),f228(a1)))),f107(x41551)) % 153.71/153.53 [4188]E(f327(f251(f840(a1,a1)),f327(f246(a1,a1,a831),f327(f327(f20(a1,f841(a1,a831),f841(a1,a831)),f327(f327(f10(f841(a831,a831),f841(f841(a1,a831),f841(a1,a831)),a1),f10(a831,a831,a1)),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f227(a1),x41881)))),f228(a1)))),f105(x41881)) % 153.71/153.53 [4241]E(f327(f251(f840(f841(x42411,a831),f841(x42411,a831))),f327(f246(f841(x42411,a831),f841(x42411,a831),a831),f327(f327(f9(f841(x42411,a831),f841(f841(x42411,a831),a831),f841(f841(x42411,a831),a831)),f327(f327(f10(f841(f841(x42411,a831),f841(a831,a831)),f841(f841(f841(x42411,a831),a831),f841(f841(x42411,a831),a831)),f841(x42411,a831)),f20(f841(x42411,a831),a831,a831)),f327(f327(f10(f841(f841(x42411,a831),a831),f841(f841(x42411,a831),f841(a831,a831)),f841(x42411,a831)),f327(f10(a831,f841(a831,a831),f841(x42411,a831)),a325)),f228(f841(x42411,a831))))),f66(x42411)))),f294(x42411)) % 153.71/153.53 [4401]~P134(f327(f66(f835(x44011)),f234(f841(f835(x44011),a831)))) % 153.71/153.53 [4414]~P134(f327(f327(f227(a1),f2(a1)),f327(f83(a1),f327(f99(a1),f327(a111,x44141))))) % 153.71/153.53 [3296]E(f327(f327(f3(a1),f327(f327(f84(a1),x32961),a96)),a96),x32961) % 153.71/153.53 [3312]E(f327(f154(a834),f126(a834,f327(f289(a834,f2(a834)),x33121))),f327(f252(a834),x33121)) % 153.71/153.53 [3553]E(f327(f327(f84(a1),f327(f327(f84(a1),f82(a1)),x35531)),x35531),f327(f327(f3(a1),f327(f327(f84(a1),x35531),x35531)),a96)) % 153.71/153.53 [3601]E(f327(f273(x36011,x36011),f295(x36011,f176(f841(f840(x36011,x36011),a831)))),f295(x36011,f176(f841(f840(x36011,x36011),a831)))) % 153.71/153.53 [3648]P134(f327(f327(f227(a834),x36481),f327(f327(f85(a834),x36481),f327(f327(f85(a834),x36481),x36481)))) % 153.71/153.53 [3923]P134(f327(f66(a834),f327(f251(a834),f327(f327(f9(a834,a834,a831),f228(a834)),x39231)))) % 153.71/153.53 [3924]P134(f327(f66(a834),f327(f251(a834),f327(f327(f9(a834,a834,a831),f227(a834)),x39241)))) % 153.71/153.53 [4207]E(f327(f251(f840(x42071,x42071)),f327(f327(f10(f841(x42071,a831),a831,f840(x42071,x42071)),f91(x42071)),f327(f327(f9(f840(x42071,x42071),f841(x42071,f840(x42071,x42071)),f841(x42071,a831)),f327(f327(f10(f841(f840(x42071,x42071),a831),f841(f841(x42071,f840(x42071,x42071)),f841(x42071,a831)),f840(x42071,x42071)),f10(f840(x42071,x42071),a831,x42071)),a324)),f327(f327(f20(x42071,x42071,f840(x42071,x42071)),f236(x42071,x42071)),f7(x42071))))),f295(x42071,f176(f841(f840(x42071,x42071),a831)))) % 153.71/153.53 [4403]~E(f327(f327(f3(a1),f327(f327(f84(a1),x44031),x44031)),a96),a87) % 153.71/153.53 [4405]~E(f327(f327(f84(a1),f327(f327(f84(a1),f82(a1)),x44051)),x44051),f2(a1)) % 153.71/153.53 [3693]E(f327(f327(f84(a1),f327(f327(f3(a1),a96),x36931)),f327(f327(f3(a1),a96),x36931)),f327(f327(f3(a1),a96),f327(f327(f3(a1),f327(f327(f84(a1),x36931),x36931)),a96))) % 153.71/153.53 [3806]E(f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),a96),x38061)),f327(f327(f3(a1),a96),x38061))),a96),f327(f327(f3(a1),a96),f327(f327(f84(a1),x38061),x38061))) % 153.71/153.53 [3843]E(f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f84(a1),x38431),a96)),f327(f327(f84(a1),x38431),a96))),a96),f327(f327(f84(a1),f327(f327(f84(a1),x38431),x38431)),a96)) % 153.71/153.53 [3882]E(f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),a96),x38821)),f327(f327(f3(a1),a96),x38821))),a96),f327(f327(f3(a1),a87),f327(f327(f3(a1),f327(f327(f84(a1),x38821),x38821)),a96))) % 153.71/153.53 [3986]E(f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x39861),f2(a834))),f176(f841(f840(a834,a834),a831))))),f327(f99(a1),x39861)) % 153.71/153.53 [3996]E(f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),f332(x39961)),f475(x39961))),f176(f841(f840(a834,a834),a831))))),x39961) % 153.71/153.53 [4026]E(f327(f251(a1),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f227(a1),f2(a1)))),x40261)),f327(f298(a834,a1,f99(a1)),f327(f251(a834),f327(f327(f10(a1,a831,a834),x40261),f99(a1))))) % 153.71/153.53 [4077]P35(f327(f251(a1),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f227(a1),f2(a1)))),x40771))) % 153.71/153.53 [4097]P134(f327(f327(f329(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f236(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),x40971),f176(f841(f840(a834,a834),a831)))),a75)) % 153.71/153.53 [4103]E(f327(f298(a1,a834,a104),f327(f251(a1),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f227(a1),f2(a1)))),f327(f327(f10(a834,a831,a1),x41031),a104)))),f327(f251(a834),x41031)) % 153.71/153.53 [4255]E(f301(a834,f327(f327(f47(f840(a834,a834),f841(a834,a831)),f327(a106,x42551)),f327(f246(a834,a834,f841(a834,a831)),f327(f327(f9(a834,f841(a834,a831),f841(a834,f841(a834,a831))),f327(f327(f10(f841(a834,f841(f841(a834,a831),f841(a834,a831))),f841(f841(a834,a831),f841(a834,f841(a834,a831))),a834),f9(a834,f841(a834,a831),f841(a834,a831))),f327(f327(f10(f841(a834,a834),f841(a834,f841(f841(a834,a831),f841(a834,a831))),a834),f327(f10(a834,f841(f841(a834,a831),f841(a834,a831)),a834),f297(a834))),f3(a834)))),f176(f841(a834,a831)))))),f327(a104,x42551)) % 153.71/153.53 [3736]E(f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),x37361),x37361)),a96)),a96),f327(f327(f84(a1),x37361),x37361)) % 153.71/153.53 [3783]E(f327(f327(f3(a1),f327(f327(f3(a1),f327(f327(f84(a1),x37831),x37831)),a96)),a96),f327(f327(f84(a1),f327(f327(f3(a1),x37831),a96)),f327(f327(f3(a1),x37831),a96))) % 153.71/153.53 [4003]E(f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f84(a1),f327(f83(a1),x40031)),a96)),f327(f327(f84(a1),f327(f83(a1),x40031)),a96))),a96),f327(f83(a1),f327(f327(f3(a1),f327(f327(f84(a1),x40031),x40031)),a96))) % 153.71/153.53 [4046]E(f327(f327(f84(a834),x40461),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(a111,f327(a111,x40461))) % 153.71/153.53 [4047]E(f327(f327(f85(a834),x40471),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(f327(f84(a834),x40471),x40471)) % 153.71/153.53 [4048]E(f327(f327(f44(a834),f327(f327(f84(a834),x40481),x40481)),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x40481) % 153.71/153.53 [4131]E(f53(a834,f327(a111,f327(a111,x41311)),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f53(a834,x41311,f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))) % 153.71/153.53 [4269]E(f327(a93,f327(f327(f47(f840(a834,a834),f841(f840(a834,a834),a831)),f327(a106,x42691)),f327(f246(a834,a834,f841(f840(a834,a834),a831)),f327(f327(f10(f841(a834,f841(f840(a834,a834),a831)),f841(a834,f841(f840(a834,a834),a831)),a834),f327(f10(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831),a834),f272(f840(a834,a834),f840(a834,a834),a108))),f327(f327(f9(a834,f841(f840(a834,a834),a831),f841(a834,f841(f840(a834,a834),a831))),f327(f327(f10(f841(a834,f841(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f841(f841(f840(a834,a834),a831),f841(a834,f841(f840(a834,a834),a831))),a834),f9(a834,f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f10(f841(a834,f840(a834,a834)),f841(a834,f841(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),a834),f327(f10(f840(a834,a834),f841(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),a834),f297(f840(a834,a834)))),f327(f9(a834,a834,f840(a834,a834)),f236(a834,a834))))),f176(f841(f840(a834,a834),a831))))))),f327(f83(a1),x42691)) % 153.71/153.53 [4126]E(f327(f327(f84(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x41261),f327(a111,f327(a111,x41261))) % 153.71/153.53 [4127]E(f327(f327(f85(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x41271),f327(f327(f84(a834),x41271),x41271)) % 153.71/153.53 [4160]E(f327(f327(f44(a834),f327(a111,f327(a111,x41601))),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(a111,f327(f327(f44(a834),x41601),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))) % 153.71/153.53 [4213]E(f327(f327(f84(a834),f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),a96))),x42131),f327(a111,f327(a111,f327(a111,x42131)))) % 153.71/153.53 [4290]E(f327(f246(a1,a1,f840(a1,a1)),f327(f327(f20(a1,f841(a1,f840(a1,a1)),f841(a1,f840(a1,a1))),f327(f327(f10(f841(a1,f841(f840(a1,a1),f840(a1,a1))),f841(f841(a1,f840(a1,a1)),f841(a1,f840(a1,a1))),a1),f20(a1,f840(a1,a1),f840(a1,a1))),f327(f327(f10(f841(a1,f840(a1,a1)),f841(a1,f841(f840(a1,a1),f840(a1,a1))),a1),f327(f20(a1,f840(a1,a1),f841(f840(a1,a1),f840(a1,a1))),f327(f327(f10(a831,f841(f840(a1,a1),f841(f840(a1,a1),f840(a1,a1))),a1),f95(f840(a1,a1))),f327(f327(f10(a1,a831,a1),f327(f227(a1),f2(a1))),f327(f327(f9(a1,a1,a1),f3(a1)),x42901))))),f327(f327(f9(a1,f841(a1,a1),f841(a1,f840(a1,a1))),f327(f327(f10(f841(a1,f840(a1,a1)),f841(f841(a1,a1),f841(a1,f840(a1,a1))),a1),f10(a1,f840(a1,a1),a1)),f327(f327(f10(a1,f841(a1,f840(a1,a1)),a1),f236(a1,a1)),f327(f327(f9(a1,a1,a1),f327(f327(f10(a1,f841(a1,a1),a1),f84(a1)),f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))),f82(a1))))),f327(f327(f9(a1,a1,a1),f3(a1)),x42901))))),f327(f327(f10(a1,f841(a1,f840(a1,a1)),a1),f236(a1,a1)),f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))))),f51(x42901)) % 153.71/153.53 [3342]P38(a25,x33421,x33422,x33421) % 153.71/153.53 [2996]P18(a1,f159(x29961,x29962)) % 153.71/153.53 [3095]P45(x30951,x30952,f255(x30951,x30952)) % 153.71/153.53 [3096]P51(x30961,x30961,f255(x30961,x30962)) % 153.71/153.53 [3366]P28(x33661,x33661,f7(x33661),x33662) % 153.71/153.53 [3367]P28(x33671,x33671,f39(x33671),x33672) % 153.71/153.53 [3374]P31(x33741,x33742,f112(x33741),f112(x33741)) % 153.71/153.53 [3375]P28(x33751,f838(x33751),f222(x33751),x33752) % 153.71/153.53 [3383]P28(f835(x33831),f835(x33831),f151(x33831),x33832) % 153.71/153.53 [4304]~E(f36(x43041,x43042),a25) % 153.71/153.53 [4305]~E(f35(x43051,x43052),a25) % 153.71/153.53 [4306]~E(f28(x43061,x43062),a25) % 153.71/153.53 [2963]E(f327(f7(x29631),x29632),x29632) % 153.71/153.53 [2964]E(f327(f251(x29641),x29642),x29642) % 153.71/153.53 [2966]E(f327(f39(x29661),x29662),x29662) % 153.71/153.53 [2976]E(f327(f180(x29761),x29762),f114(x29761)) % 153.71/153.53 [2984]E(f34(f28(x29841,x29842)),f2(a834)) % 153.71/153.53 [2994]E(f89(x29941,f327(a324,x29942)),x29942) % 153.71/153.53 [2995]E(f94(x29951,f327(a324,x29952)),x29952) % 153.71/153.53 [3011]E(f327(f177(a832),f28(x30111,x30112)),f2(a834)) % 153.71/153.53 [3016]E(f327(f123(x30161,x30162),f112(x30161)),f112(x30161)) % 153.71/153.53 [3037]E(f295(x30371,f295(x30371,x30372)),f295(x30371,x30372)) % 153.71/153.53 [3038]E(f137(x30381,f137(x30381,x30382)),f137(x30381,x30382)) % 153.71/153.53 [3059]E(f327(f327(f122(x30591),x30592),f112(x30591)),x30592) % 153.71/153.53 [3068]E(f327(f327(f155(x30681),x30682),f112(x30681)),f112(x30681)) % 153.71/153.53 [3069]E(f327(f327(f125(x30691),x30692),f112(x30691)),f112(x30691)) % 153.71/153.53 [3071]E(f223(x30711,x30712,f179(x30711)),f2(a834)) % 153.71/153.53 [3072]E(f139(x30721,x30722,f112(x30721)),f2(a834)) % 153.71/153.53 [3074]E(f152(x30741,x30742,f112(x30741)),f112(x30741)) % 153.71/153.53 [3075]E(f158(x30751,x30752,f112(x30751)),f112(x30751)) % 153.71/153.53 [3076]E(f156(x30761,f112(x30761),x30762),f112(x30761)) % 153.71/153.53 [3080]E(f327(f154(x30801),f137(x30801,x30802)),f327(f154(x30801),x30802)) % 153.71/153.53 [3083]E(f327(f254(x30831,x30831),f255(x30831,x30832)),x30832) % 153.71/153.53 [3084]E(f327(f256(x30841,x30841),f255(x30841,x30842)),x30842) % 153.71/153.53 [3093]P134(f327(a27,f28(x30931,x30932))) % 153.71/153.53 [3094]E(f327(f273(x30941,x30941),f255(x30941,x30942)),f255(x30941,x30942)) % 153.71/153.53 [3107]E(f295(f835(x31071),f141(x31071,x31072)),f142(x31071,f295(x31071,x31072))) % 153.71/153.53 [3109]P134(f327(f124(a1),f159(x31091,x31092))) % 153.71/153.53 [3117]E(f327(f254(x31171,x31171),f295(x31171,x31172)),f234(f841(x31171,a831))) % 153.71/153.53 [3118]E(f327(f256(x31181,x31181),f295(x31181,x31182)),f234(f841(x31181,a831))) % 153.71/153.53 [3122]P134(f327(f124(x31221),f137(x31221,x31222))) % 153.71/153.53 [3128]E(f327(f154(a1),f159(x31281,x31282)),f290(a1,x31281,x31282)) % 153.71/153.53 [3143]P52(x31431,f176(f841(x31431,a831)),x31432) % 153.71/153.53 [3148]E(f327(f245(a1,a1),f54(x31481,x31482)),f53(a1,x31481,x31482)) % 153.71/153.53 [3149]E(f327(f289(a834,x31491),f327(a111,x31492)),f290(a834,x31491,x31492)) % 153.71/153.53 [3177]E(f290(a834,f327(a111,x31771),x31772),f292(a834,x31771,x31772)) % 153.71/153.53 [3178]P45(x31781,f234(f841(x31781,a831)),f295(x31781,x31782)) % 153.71/153.53 [3242]E(f327(f327(f3(a834),x32421),f327(a111,x32422)),f327(f43(a834),f293(a834,x32422,x32421))) % 153.71/153.53 [3297]E(f149(x32971,x32972,f112(x32971)),f327(f327(f236(f835(x32971),f835(x32971)),f112(x32971)),f112(x32971))) % 153.71/153.53 [3316]E(f327(f246(x33161,x33162,f840(x33161,x33162)),f236(x33161,x33162)),f39(f840(x33161,x33162))) % 153.71/153.53 [3321]P134(f327(f327(f329(f835(x33211)),f112(x33211)),f144(x33211,x33212))) % 153.71/153.53 [3322]E(f327(f177(f835(x33221)),f113(x33221,x33222)),f327(f327(f3(a834),f327(f177(f835(x33221)),x33222)),f82(a834))) % 153.71/153.53 [3333]P134(f327(f66(a834),f290(a834,x33331,x33332))) % 153.71/153.53 [3334]P134(f327(f66(a834),f292(a834,x33341,x33342))) % 153.71/153.53 [3335]P134(f327(f66(a834),f293(a834,x33351,x33352))) % 153.71/153.53 [3336]P134(f327(f66(a1),f290(a1,x33361,x33362))) % 153.71/153.53 [3337]P134(f327(f66(a1),f292(a1,x33371,x33372))) % 153.71/153.53 [3338]P134(f327(f66(a1),f293(a1,x33381,x33382))) % 153.71/153.53 [3440]E(f327(f298(a834,a834,a111),f290(a834,x34401,x34402)),f290(a834,f327(a111,x34401),f327(a111,x34402))) % 153.71/153.53 [3457]E(f327(f327(f276(x34571,x34571,x34571),f295(x34571,x34572)),f295(x34571,x34572)),f295(x34571,x34572)) % 153.71/153.53 [3488]E(f327(f327(f236(a1,a1),f327(f327(f44(a1),x34881),x34882)),f53(a1,x34881,x34882)),f54(x34881,x34882)) % 153.71/153.53 [3489]E(f327(f327(f236(a98,a98),f327(f327(f44(a98),x34891),x34892)),f53(a98,x34891,x34892)),f24(x34891,x34892)) % 153.71/153.53 [3517]E(f327(f327(f236(a834,a834),f327(f327(f44(a834),x35171),x35172)),f53(a834,x35171,x35172)),f89(f840(a834,a834),f56(x35171,x35172))) % 153.71/153.53 [3570]P134(f327(f327(f228(a834),f327(f327(f3(a834),x35701),x35702)),f327(a111,x35701))) % 153.71/153.53 [3670]E(f327(f327(f84(a1),f327(f327(f85(a1),x36701),f327(f327(f44(a1),x36702),x36701))),f53(a1,x36702,x36701)),x36702) % 153.71/153.53 [3674]E(f327(f327(f47(a834,f841(f840(f835(x36741),f835(x36741)),a831)),f234(f841(a834,a831))),f129(x36741,x36742)),f131(x36741,x36742)) % 153.71/153.53 [3897]P134(f327(f327(f329(f840(f835(x38971),f835(x38971))),f327(f327(f236(f835(x38971),f835(x38971)),f112(x38971)),f112(x38971))),f142(x38971,x38972))) % 153.71/153.53 [4060]E(f247(x40601,x40601,x40602,x40602,f7(x40601),f7(x40602)),f39(f840(x40601,x40602))) % 153.71/153.53 [4062]E(f247(x40621,x40621,x40622,x40622,f39(x40621),f39(x40622)),f39(f840(x40621,x40622))) % 153.71/153.53 [4320]~E(f327(f222(x43201),x43202),f179(x43201)) % 153.71/153.53 [4332]~P34(x43321,f327(f222(x43321),x43322)) % 153.71/153.53 [3057]E(f327(f226(x30571),f327(f222(x30571),x30572)),x30572) % 153.71/153.53 [3058]E(f327(f151(x30581),f327(f151(x30581),x30582)),x30582) % 153.71/153.53 [3060]E(f327(f327(f125(x30601),f2(a834)),x30602),x30602) % 153.71/153.53 [3070]E(f327(f327(f155(x30701),f2(a834)),x30702),f112(x30701)) % 153.71/153.53 [3078]E(f327(f327(f122(x30781),f112(x30781)),x30782),x30782) % 153.71/153.53 [3086]E(f327(f177(f838(x30861)),f327(f222(x30861),x30862)),f2(a834)) % 153.71/153.53 [3088]E(f45(f841(x30881,a831),f327(f296(x30881),x30882)),x30882) % 153.71/153.53 [3090]E(f327(f154(x30901),f327(f150(x30901),x30902)),f327(f154(x30901),x30902)) % 153.71/153.53 [3091]E(f327(f154(x30911),f327(f151(x30911),x30912)),f327(f154(x30911),x30912)) % 153.71/153.53 [3098]E(f327(f327(f3(a98),x30981),x30982),f327(f327(a4,x30981),x30982)) % 153.71/153.53 [3111]E(f327(f327(f84(a834),x31111),x31112),f327(f327(f84(a834),x31112),x31111)) % 153.71/153.53 [3112]E(f327(f327(f84(a1),x31121),x31122),f327(f327(f84(a1),x31122),x31121)) % 153.71/153.53 [3113]E(f327(f327(f85(a834),x31131),x31132),f327(f327(f85(a834),x31132),x31131)) % 153.71/153.53 [3114]E(f327(f327(f85(a1),x31141),x31142),f327(f327(f85(a1),x31142),x31141)) % 153.71/153.53 [3135]E(f327(f327(f169(x31351,x31351),f2(a834)),x31352),f39(x31351)) % 153.71/153.53 [3136]E(f327(f177(f835(x31361)),f327(f150(x31361),x31362)),f327(f177(f835(x31361)),x31362)) % 153.71/153.53 [3137]E(f327(f177(f835(x31371)),f327(f151(x31371),x31372)),f327(f177(f835(x31371)),x31372)) % 153.71/153.53 [3138]E(f156(x31381,x31382,f176(f841(a834,a831))),f112(x31381)) % 153.71/153.53 [3139]E(f327(f327(f138(x31391,x31391),f7(x31391)),x31392),x31392) % 153.71/153.53 [3141]E(f327(f235(a1,a1),f54(x31411,x31412)),f327(f327(f44(a1),x31411),x31412)) % 153.71/153.53 [3159]E(f327(f177(f835(x31591)),f137(x31591,x31592)),f327(f43(x31591),f327(f154(x31591),x31592))) % 153.71/153.53 [3160]E(f34(f35(x31601,x31602)),f327(f327(f84(a834),f34(x31602)),f327(a111,f2(a834)))) % 153.71/153.53 [3161]E(f327(f271(x31611),f327(f273(x31611,x31611),x31612)),f327(f271(x31611),x31612)) % 153.71/153.53 [3165]P134(f327(f66(x31651),f327(f154(x31651),x31652))) % 153.71/153.53 [3172]E(f327(f327(f84(a1),x31721),f327(f83(a1),x31722)),f327(f327(f3(a1),x31721),x31722)) % 153.71/153.53 [3181]E(f327(f298(x31811,x31811,f7(x31811)),x31812),x31812) % 153.71/153.53 [3182]E(f327(f298(x31821,x31821,f39(x31821)),x31822),x31822) % 153.71/153.53 [3183]E(f327(f300(x31831,x31831,f7(x31831)),x31832),x31832) % 153.71/153.53 [3184]E(f327(f300(x31841,x31841,f39(x31841)),x31842),x31842) % 153.71/153.53 [3185]P134(f327(f234(f841(x31851,a831)),x31852)) % 153.71/153.53 [3187]E(f327(f43(a834),f327(f289(a834,x31871),x31872)),f327(f327(f3(a834),x31872),x31871)) % 153.71/153.53 [3188]E(f327(f289(a834,f327(a111,x31881)),x31882),f293(a834,x31881,x31882)) % 153.71/153.53 [3200]E(f327(f327(f297(x32001),x32002),f176(f841(x32001,a831))),f327(f251(x32001),f327(a324,x32002))) % 153.71/153.53 [3206]E(f327(f327(f297(x32061),x32062),f176(f841(x32061,a831))),f221(x32061,f327(f222(x32061),x32062))) % 153.71/153.53 [3208]E(f295(x32081,f327(f273(x32081,x32081),x32082)),f327(f273(x32081,x32081),f295(x32081,x32082))) % 153.71/153.53 [3213]E(f327(f327(f84(a834),f327(a111,x32131)),x32132),f327(f327(f84(a834),x32131),f327(a111,x32132))) % 153.71/153.53 [3214]E(f327(f327(f3(a834),f327(a111,x32141)),f327(a111,x32142)),f327(f327(f3(a834),x32141),x32142)) % 153.71/153.53 [3219]E(f327(f43(a834),f292(a834,x32191,x32192)),f327(f327(f3(a834),x32192),x32191)) % 153.71/153.53 [3228]P33(x32281,f327(f327(f275(a834,x32281),a232),x32282)) % 153.71/153.53 [3230]P18(a834,f126(a834,f327(f289(a834,x32301),x32302))) % 153.71/153.53 [3232]P134(f327(f66(a834),f327(f289(a834,x32321),x32322))) % 153.71/153.53 [3233]P134(f327(f66(a1),f327(f289(a1,x32331),x32332))) % 153.71/153.53 [3235]E(f327(f273(f835(x32351),f835(x32351)),f141(x32351,x32352)),f141(x32351,f327(f273(x32351,x32351),x32352))) % 153.71/153.53 [3236]E(f327(f177(a832),f35(x32361,x32362)),f327(f327(f84(a834),f327(f177(a832),x32362)),f327(a111,f2(a834)))) % 153.71/153.53 [3238]E(f327(f289(a1,x32381),f327(f327(f84(a1),x32382),f82(a1))),f290(a1,x32381,x32382)) % 153.71/153.53 [3241]E(f327(f327(f44(a1),f327(f83(a1),x32411)),f327(f83(a1),x32412)),f327(f327(f44(a1),x32411),x32412)) % 153.71/153.53 [3249]E(f167(x32491,x32492,f327(f18(f838(x32492),x32491),f179(x32492))),f176(f841(x32492,a831))) % 153.71/153.53 [3250]E(f165(x32501,x32502,f327(f18(f838(x32502),x32501),f179(x32502))),f176(f841(x32501,a831))) % 153.71/153.53 [3251]E(f327(f327(f169(f840(x32511,x32511),a831),f82(a834)),x32512),x32512) % 153.71/153.53 [3253]E(f327(f327(f3(f841(x32531,a831)),x32532),f176(f841(x32531,a831))),x32532) % 153.71/153.53 [3254]E(f327(f327(f100(f841(x32541,a831)),x32542),f176(f841(x32541,a831))),x32542) % 153.71/153.53 [3255]E(f327(f327(f101(f841(x32551,a831)),x32552),f234(f841(x32551,a831))),x32552) % 153.71/153.53 [3256]E(f327(f235(a834,a834),f89(f840(a834,a834),f56(x32561,x32562))),f327(f327(f44(a834),x32561),x32562)) % 153.71/153.53 [3262]E(f302(x32621,f327(a23,x32622),f327(f83(a1),f327(a23,x32622))),f327(f327(f305(a1),x32621),x32622)) % 153.71/153.53 [3263]E(f290(a1,f327(f327(f84(a1),x32631),f82(a1)),x32632),f292(a1,x32631,x32632)) % 153.71/153.53 [3268]E(f327(f245(a834,a834),f89(f840(a834,a834),f56(x32681,x32682))),f53(a834,x32681,x32682)) % 153.71/153.53 [3276]E(f303(x32761,f327(a23,x32762),f327(f83(a1),f327(a23,x32762))),f304(a1,x32761,x32762)) % 153.71/153.53 [3279]P134(f327(f327(f329(x32791),x32792),f234(f841(x32791,a831)))) % 153.71/153.53 [3283]E(f327(f327(f3(a834),f327(a111,x32831)),x32832),f327(f43(a834),f290(a834,x32832,x32831))) % 153.71/153.53 [3308]E(f327(f327(f3(f841(x33081,a831)),x33082),f234(f841(x33081,a831))),f176(f841(x33081,a831))) % 153.71/153.53 [3309]E(f327(f327(f100(f841(x33091,a831)),x33092),f234(f841(x33091,a831))),f234(f841(x33091,a831))) % 153.71/153.53 [3310]E(f327(f327(f101(f841(x33101,a831)),x33102),f176(f841(x33101,a831))),f176(f841(x33101,a831))) % 153.71/153.53 [3324]E(f53(a1,f327(f99(a1),x33241),f327(f99(a1),x33242)),f327(f99(a1),f53(a834,x33241,x33242))) % 153.71/153.53 [3325]E(f53(a1,f327(f83(a1),x33251),f327(f83(a1),x33252)),f327(f83(a1),f53(a1,x33251,x33252))) % 153.71/153.53 [3340]E(f327(f177(f835(x33401)),f327(f153(x33401),x33402)),f327(f327(f3(a834),f327(f177(f835(x33401)),x33402)),f82(a834))) % 153.71/153.53 [3368]E(f327(f327(f44(a1),f53(a1,x33681,x33682)),x33682),f2(a1)) % 153.71/153.53 [3377]E(f327(a5,f53(a834,f327(a22,x33771),f327(a22,x33772))),f53(a98,x33771,x33772)) % 153.71/153.53 [3408]E(f327(a5,f327(f327(f84(a834),f327(a22,x34081)),f327(a22,x34082))),f327(f327(f84(a98),x34081),x34082)) % 153.71/153.53 [3409]E(f327(a5,f327(f327(f85(a834),f327(a22,x34091)),f327(a22,x34092))),f327(f327(f85(a98),x34091),x34092)) % 153.71/153.53 [3410]E(f327(a5,f327(f327(f44(a834),f327(a22,x34101)),f327(a22,x34102))),f327(f327(f44(a98),x34101),x34102)) % 153.71/153.53 [3411]E(f327(a5,f327(f327(f3(a834),f327(a22,x34111)),f327(a22,x34112))),f327(f327(f3(a98),x34111),x34112)) % 153.71/153.53 [3419]E(f327(f298(a834,a834,a111),f327(f289(a834,x34191),x34192)),f327(f289(a834,f327(a111,x34191)),f327(a111,x34192))) % 153.71/153.53 [3445]P134(f327(f56(x34451,x34452),f89(f840(a834,a834),f56(x34451,x34452)))) % 153.71/153.53 [3462]E(f327(f327(f84(a834),f327(f327(f84(a834),f34(x34621)),f34(x34622))),f327(a111,f2(a834))),f34(f36(x34621,x34622))) % 153.71/153.53 [3463]E(f53(a834,f327(a111,f53(a834,x34631,x34632)),x34632),f53(a834,f327(a111,x34631),x34632)) % 153.71/153.53 [3477]E(f327(f327(f48(f841(x34771,a831),f841(x34771,a831)),x34772),f7(f841(x34771,a831))),f46(f841(x34771,a831),x34772)) % 153.71/153.53 [3478]E(f327(f327(f47(f841(x34781,a831),f841(x34781,a831)),x34782),f7(f841(x34781,a831))),f45(f841(x34781,a831),x34782)) % 153.71/153.53 [3479]E(f327(f298(f835(x34791),f841(x34791,a831),f154(x34791)),f327(f154(f835(x34791)),f63(x34791,x34792))),f327(f296(x34791),f327(f154(x34791),x34792))) % 153.71/153.53 [3482]P134(f327(f327(f329(f841(x34821,a831)),x34822),f327(f296(x34821),x34822))) % 153.71/153.53 [3487]E(f53(a1,f327(f83(a1),f53(a1,x34871,x34872)),x34872),f53(a1,f327(f83(a1),x34871),x34872)) % 153.71/153.53 [3498]P134(f327(f327(f227(f841(x34981,a831)),x34982),f234(f841(x34981,a831)))) % 153.71/153.53 [3500]E(f327(f327(f276(x35001,x35001,x35001),f295(x35001,x35002)),f295(x35001,f295(x35001,x35002))),f295(x35001,x35002)) % 153.71/153.53 [3501]E(f327(f327(f100(f841(x35011,a831)),f327(f256(x35011,x35011),x35012)),f327(f254(x35011,x35011),x35012)),f327(f271(x35011),x35012)) % 153.71/153.53 [3523]E(f309(x35231,x35232,f234(f841(x35231,a831)),f234(f841(x35232,a831))),f234(f841(f842(x35231,x35232),a831))) % 153.71/153.53 [3575]P134(f327(f327(f227(a834),f53(a834,x35751,x35752)),x35751)) % 153.71/153.53 [3599]P134(f327(f327(f227(a1),f327(f83(a1),f327(f99(a1),x35991))),f327(f99(a1),x35992))) % 153.71/153.53 [3622]P134(f327(f327(f329(f841(x36221,a831)),f176(f841(x36221,a831))),f327(f296(x36221),x36222))) % 153.71/153.53 [3627]E(f295(x36271,f327(f327(f276(x36271,x36271,x36271),x36272),f295(x36271,x36272))),f295(x36271,x36272)) % 153.71/153.53 [3630]E(f327(f327(f276(x36301,x36301,x36301),f295(x36301,x36302)),x36302),f327(f327(f276(x36301,x36301,x36301),x36302),f295(x36301,x36302))) % 153.71/153.53 [3632]E(f327(a104,f327(f327(f84(a1),f327(f327(f3(a1),x36321),x36322)),f82(a1))),f327(f43(a1),f290(a1,x36322,x36321))) % 153.71/153.53 [3649]E(f327(f254(x36491,x36491),f327(f327(f276(x36491,x36491,x36491),x36492),f295(x36491,x36492))),f327(f254(x36491,x36491),x36492)) % 153.71/153.53 [3650]E(f327(f256(x36501,x36501),f327(f327(f276(x36501,x36501,x36501),x36502),f295(x36501,x36502))),f327(f256(x36501,x36501),x36502)) % 153.71/153.53 [3666]E(f327(f327(f84(a834),f327(f327(f84(a834),f327(f177(a832),x36661)),f327(f177(a832),x36662))),f327(a111,f2(a834))),f327(f177(a832),f36(x36661,x36662))) % 153.71/153.53 [3678]P28(a834,a834,f327(f327(f9(a834,a834,a834),f84(a834)),x36781),x36782) % 153.71/153.53 [3680]P18(a834,f327(f151(a834),f327(f327(f138(f835(x36801),a834),f177(f835(x36801))),f160(x36801,x36802)))) % 153.71/153.53 [3725]P134(f327(f327(f228(a1),f327(f83(a1),f327(f99(a1),f327(a111,x37251)))),f327(f99(a1),x37252))) % 153.71/153.53 [3765]E(f327(f128(f835(x37651),x37651,f327(f9(x37651,f835(x37651),f835(x37651)),f136(x37651)),f112(x37651)),x37652),f327(f151(x37651),x37652)) % 153.71/153.53 [3813]P134(f327(f327(f227(f841(f840(f835(x38131),f835(x38131)),a831)),f142(x38131,x38132)),f295(f835(x38131),f141(x38131,x38132)))) % 153.71/153.53 [3847]P134(f327(f56(x38471,x38472),f327(f327(f236(a834,a834),f327(f327(f44(a834),x38471),x38472)),f53(a834,x38471,x38472)))) % 153.71/153.53 [3858]P134(f327(f327(f227(f841(f840(f835(x38581),f835(x38581)),a831)),f141(x38581,f295(x38581,x38582))),f295(f835(x38581),f141(x38581,x38582)))) % 153.71/153.53 [4089]E(f327(f327(f248(f840(a98,a98),a98,f840(a98,a98),f840(x40891,f840(a98,a98))),f259(f327(f148(a98),f327(f327(f138(f840(a98,x40891),a98),f235(a98,x40891)),x40892)))),f327(f327(f10(x40891,f841(f840(a98,a98),f840(x40891,f840(a98,a98))),a98),f236(x40891,f840(a98,a98))),f260(x40891,x40892))),f258(x40891,x40892)) % 153.71/153.53 [4268]E(f327(f246(f841(f840(x42681,x42681),a831),f841(f840(x42681,x42681),a831),f841(f841(x42682,x42681),f840(f841(f840(x42682,x42682),a831),f841(f840(x42682,x42682),a831)))),f327(f327(f9(f841(f840(x42681,x42681),a831),f841(f841(f840(x42681,x42681),a831),f841(f841(x42682,x42681),f841(f840(x42682,x42682),a831))),f841(f841(f840(x42681,x42681),a831),f841(f841(x42682,x42681),f840(f841(f840(x42682,x42682),a831),f841(f840(x42682,x42682),a831))))),f327(f327(f10(f841(f841(f841(x42682,x42681),f841(f840(x42682,x42682),a831)),f841(f841(x42682,x42681),f840(f841(f840(x42682,x42682),a831),f841(f840(x42682,x42682),a831)))),f841(f841(f841(f840(x42681,x42681),a831),f841(f841(x42682,x42681),f841(f840(x42682,x42682),a831))),f841(f841(f840(x42681,x42681),a831),f841(f841(x42682,x42681),f840(f841(f840(x42682,x42682),a831),f841(f840(x42682,x42682),a831))))),f841(f840(x42681,x42681),a831)),f10(f841(f841(x42682,x42681),f841(f840(x42682,x42682),a831)),f841(f841(x42682,x42681),f840(f841(f840(x42682,x42682),a831),f841(f840(x42682,x42682),a831))),f841(f840(x42681,x42681),a831))),f327(f327(f10(f841(f841(x42682,x42681),f841(f841(f840(x42682,x42682),a831),f840(f841(f840(x42682,x42682),a831),f841(f840(x42682,x42682),a831)))),f841(f841(f841(x42682,x42681),f841(f840(x42682,x42682),a831)),f841(f841(x42682,x42681),f840(f841(f840(x42682,x42682),a831),f841(f840(x42682,x42682),a831)))),f841(f840(x42681,x42681),a831)),f20(f841(x42682,x42681),f841(f840(x42682,x42682),a831),f840(f841(f840(x42682,x42682),a831),f841(f840(x42682,x42682),a831)))),f327(f327(f10(f841(f841(x42682,x42681),f841(f840(x42682,x42682),a831)),f841(f841(x42682,x42681),f841(f841(f840(x42682,x42682),a831),f840(f841(f840(x42682,x42682),a831),f841(f840(x42682,x42682),a831)))),f841(f840(x42681,x42681),a831)),f327(f10(f841(f840(x42682,x42682),a831),f841(f841(f840(x42682,x42682),a831),f840(f841(f840(x42682,x42682),a831),f841(f840(x42682,x42682),a831))),f841(x42682,x42681)),f236(f841(f840(x42682,x42682),a831),f841(f840(x42682,x42682),a831)))),f275(x42681,x42682))))),f275(x42681,x42682))),f78(x42681,x42682)) % 153.71/153.53 [4382]~E(f327(f296(x43821),x43822),f176(f841(f841(x43821,a831),a831))) % 153.71/153.53 [4400]~P134(f327(f327(f329(x44001),x44002),f176(f841(x44001,a831)))) % 153.71/153.53 [4409]~P134(f327(f327(f228(f841(x44091,a831)),x44092),f176(f841(x44091,a831)))) % 153.71/153.53 [3190]E(f327(f327(f3(a834),x31901),f327(f327(f84(a834),x31901),x31902)),f2(a834)) % 153.71/153.53 [3192]E(f327(f327(f100(f841(x31921,a831)),x31922),x31922),x31922) % 153.71/153.53 [3193]E(f327(f327(f101(f841(x31931,a831)),x31932),x31932),x31932) % 153.71/153.53 [3221]E(f327(f327(f3(f841(x32211,a831)),x32212),x32212),f176(f841(x32211,a831))) % 153.71/153.53 [3224]E(f327(f129(x32241,x32242),f2(a834)),f176(f841(f840(f835(x32241),f835(x32241)),a831))) % 153.71/153.53 [3225]E(f327(f327(f84(a834),x32251),f327(a111,x32252)),f327(a111,f327(f327(f84(a834),x32251),x32252))) % 153.71/153.53 [3237]E(f183(f327(f99(a1),x32371),f327(f99(a1),x32372)),f327(f99(a1),f327(f327(f3(a834),x32371),x32372))) % 153.71/153.53 [3240]E(f327(f327(f44(a1),f327(f83(a1),x32401)),x32402),f327(f327(f44(a1),x32401),f327(f83(a1),x32402))) % 153.71/153.53 [3244]E(f327(f43(a1),f327(f289(a1,x32441),x32442)),f327(a104,f327(f327(f3(a1),x32442),x32441))) % 153.71/153.53 [3247]E(f327(f327(f84(a834),f327(a111,x32471)),x32472),f327(a111,f327(f327(f84(a834),x32471),x32472))) % 153.71/153.53 [3252]E(f327(f83(f841(x32521,a831)),f327(f83(f841(x32521,a831)),x32522)),x32522) % 153.71/153.53 [3265]E(f160(x32651,f327(f327(f136(f835(x32651)),f112(x32651)),x32652)),f160(x32651,x32652)) % 153.71/153.53 [3269]E(f327(f327(f84(a834),x32691),f327(f327(f85(a834),x32691),x32692)),f327(f327(f85(a834),x32691),f327(a111,x32692))) % 153.71/153.53 [3277]E(f327(f327(a4,f327(a5,x32771)),f327(a5,x32772)),f327(a5,f327(f327(f3(a834),x32771),x32772))) % 153.71/153.53 [3288]E(f327(f327(f85(a1),f327(f83(a1),x32881)),x32882),f327(f83(a1),f327(f327(f85(a1),x32881),x32882))) % 153.71/153.53 [3290]E(f327(f327(f237(a1),f327(f99(a1),x32901)),x32902),f327(f99(a1),f327(f327(f237(a834),x32901),x32902))) % 153.71/153.53 [3291]E(f327(f327(f84(a98),f327(a5,x32911)),f327(a5,x32912)),f327(a5,f327(f327(f84(a834),x32911),x32912))) % 153.71/153.53 [3292]E(f327(f327(f85(a98),f327(a5,x32921)),f327(a5,x32922)),f327(a5,f327(f327(f85(a834),x32921),x32922))) % 153.71/153.53 [3293]E(f327(f327(f231(a834),f327(a111,x32931)),f327(a111,x32932)),f327(a111,f327(f327(f231(a834),x32931),x32932))) % 153.71/153.53 [3294]E(f327(f327(f175(a834),f327(a111,x32941)),f327(a111,x32942)),f327(a111,f327(f327(f175(a834),x32941),x32942))) % 153.71/153.53 [3300]E(f327(f154(a834),f126(a834,f327(f289(a834,x33001),x33002))),f327(f289(a834,x33001),x33002)) % 153.71/153.53 [3301]E(f301(x33011,f327(f327(f297(x33011),x33012),f176(f841(x33011,a831)))),x33012) % 153.71/153.53 [3306]E(f327(f254(x33061,x33062),f176(f841(f840(x33061,x33062),a831))),f176(f841(x33062,a831))) % 153.71/153.53 [3307]E(f327(f256(x33071,x33072),f176(f841(f840(x33071,x33072),a831))),f176(f841(x33071,a831))) % 153.71/153.53 [3311]E(f327(a104,f327(f327(f3(a1),x33111),x33112)),f327(f43(a1),f292(a1,x33112,x33111))) % 153.71/153.53 [3315]E(f327(f327(f84(a834),x33151),f327(f327(f85(a834),x33152),x33151)),f327(f327(f85(a834),f327(a111,x33152)),x33151)) % 153.71/153.53 [3317]E(f327(f327(f62(x33171),f176(f841(x33171,a831))),x33172),f176(f841(f841(x33171,a831),a831))) % 153.71/153.53 [3326]E(f327(f177(f835(a834)),f126(a834,f327(f289(a834,x33261),x33262))),f327(f327(f3(a834),x33262),x33261)) % 153.71/153.53 [3347]E(f327(f327(f100(f841(x33471,a831)),f176(f841(x33471,a831))),x33472),x33472) % 153.71/153.53 [3348]E(f327(f327(f101(f841(x33481,a831)),f234(f841(x33481,a831))),x33482),x33482) % 153.71/153.53 [3351]E(f327(f327(f84(a1),f327(f83(a1),x33511)),f327(f83(a1),x33512)),f327(f83(a1),f327(f327(f84(a1),x33511),x33512))) % 153.71/153.53 [3354]E(f327(f327(f84(a1),f327(f99(a1),x33541)),f327(f99(a1),x33542)),f327(f99(a1),f327(f327(f84(a834),x33541),x33542))) % 153.71/153.53 [3355]E(f327(f327(f84(a1),f327(f103(a1),x33551)),f327(f103(a1),x33552)),f327(f103(a1),f327(f327(f84(a1),x33551),x33552))) % 153.71/153.53 [3357]E(f327(f327(f85(a1),f327(f99(a1),x33571)),f327(f99(a1),x33572)),f327(f99(a1),f327(f327(f85(a834),x33571),x33572))) % 153.71/153.53 [3358]E(f327(f327(f85(a1),f327(f103(a1),x33581)),f327(f103(a1),x33582)),f327(f103(a1),f327(f327(f85(a1),x33581),x33582))) % 153.71/153.53 [3359]E(f327(f327(f44(a1),f327(f99(a1),x33591)),f327(f99(a1),x33592)),f327(f99(a1),f327(f327(f44(a834),x33591),x33592))) % 153.71/153.53 [3378]E(f327(f327(f8(x33781,a834),f327(f18(a834,x33781),f82(a834))),x33782),f327(f43(x33781),x33782)) % 153.71/153.53 [3384]E(f327(f83(a1),f53(a1,f327(f83(a1),x33841),x33842)),f53(a1,x33841,f327(f83(a1),x33842))) % 153.71/153.53 [3386]E(f327(f154(a1),f159(x33861,f327(f327(f3(a1),x33862),f82(a1)))),f327(f289(a1,x33861),x33862)) % 153.71/153.53 [3390]P134(f327(f327(f227(a834),x33901),f327(f327(f84(a834),x33902),x33901))) % 153.71/153.53 [3391]P134(f327(f327(f227(a834),x33911),f327(f327(f84(a834),x33911),x33912))) % 153.71/153.53 [3394]E(f327(f327(f3(f841(x33941,a831)),f176(f841(x33941,a831))),x33942),f176(f841(x33941,a831))) % 153.71/153.53 [3395]E(f327(f327(f100(f841(x33951,a831)),f234(f841(x33951,a831))),x33952),f234(f841(x33951,a831))) % 153.71/153.53 [3396]E(f327(f327(f101(f841(x33961,a831)),f176(f841(x33961,a831))),x33962),f176(f841(x33961,a831))) % 153.71/153.53 [3401]E(f327(f327(f236(a1,a1),x34011),f327(f83(a1),x34012)),f327(a59,f327(f327(f236(a1,a1),x34011),x34012))) % 153.71/153.53 [3402]E(f327(f289(a1,f327(f327(f84(a1),x34021),f82(a1))),x34022),f293(a1,x34021,x34022)) % 153.71/153.53 [3412]E(f327(f327(f85(a834),x34121),f327(f327(f44(a834),x34122),x34121)),f327(f327(f3(a834),x34122),f53(a834,x34122,x34121))) % 153.71/153.53 [3413]E(f327(f327(f85(a1),x34131),f327(f327(f44(a1),x34132),x34131)),f327(f327(f3(a1),x34132),f53(a1,x34132,x34131))) % 153.71/153.53 [3416]E(f327(f154(a1),f159(f327(f327(f84(a1),x34161),f82(a1)),x34162)),f292(a1,x34161,x34162)) % 153.71/153.53 [3420]P134(f327(f327(f227(f841(x34201,a831)),x34202),x34202)) % 153.71/153.53 [3425]E(f327(f327(f100(f841(x34251,a831)),x34252),f327(f83(f841(x34251,a831)),x34252)),f234(f841(x34251,a831))) % 153.71/153.53 [3426]E(f327(f327(f101(f841(x34261,a831)),x34262),f327(f83(f841(x34261,a831)),x34262)),f176(f841(x34261,a831))) % 153.71/153.53 [3432]E(f327(f327(f3(a834),f327(f327(f3(a834),x34321),f82(a834))),x34322),f327(f327(f3(a834),x34321),f327(a111,x34322))) % 153.71/153.53 [3437]E(f327(f327(f3(f841(x34371,a831)),f234(f841(x34371,a831))),x34372),f327(f83(f841(x34371,a831)),x34372)) % 153.71/153.53 [3438]E(f327(f327(f3(a1),f327(f103(a1),x34381)),f327(f103(a1),x34382)),f327(f103(a1),f327(f327(f84(a1),x34381),f327(f83(a1),x34382)))) % 153.71/153.53 [3450]E(f327(f154(a834),f126(a834,f327(f289(a834,x34501),f327(a111,x34502)))),f290(a834,x34501,x34502)) % 153.71/153.53 [3480]E(f327(f327(f169(f840(x34801,x34801),a831),f2(a834)),x34802),f295(x34801,f176(f841(f840(x34801,x34801),a831)))) % 153.71/153.53 [3484]P134(f327(f124(a834),f126(a834,f327(f289(a834,x34841),x34842)))) % 153.71/153.53 [3499]E(f327(f298(a1,a834,a104),f290(a1,f327(f99(a1),x34991),f327(f99(a1),x34992))),f290(a834,x34991,x34992)) % 153.71/153.53 [3509]E(f171(a834,f2(a834),f7(a834),f327(f327(f3(a834),x35091),x35092)),f327(f327(f3(a834),x35091),f327(a111,x35092))) % 153.71/153.53 [3510]E(f327(a104,f327(f327(f3(a1),x35101),f327(f327(f84(a1),x35102),f82(a1)))),f327(f43(a1),f293(a1,x35102,x35101))) % 153.71/153.53 [3548]E(f327(f327(f138(a834,a834),a111),f126(a834,f327(f289(a834,x35481),x35482))),f126(a834,f327(f289(a834,f327(a111,x35481)),f327(a111,x35482)))) % 153.71/153.53 [3555]E(f327(f154(a1),f159(f327(f327(f84(a1),x35551),f82(a1)),f327(f327(f3(a1),x35552),f82(a1)))),f293(a1,x35551,x35552)) % 153.71/153.53 [3567]P134(f327(f327(f227(f841(x35671,a831)),f176(f841(x35671,a831))),x35672)) % 153.71/153.53 [3571]E(f89(x35711,f327(f327(f9(x35711,x35711,a831),a324),x35712)),x35712) % 153.71/153.53 [3572]E(f94(x35721,f327(f327(f9(x35721,x35721,a831),a324),x35722)),x35722) % 153.71/153.53 [3576]E(f327(f154(a834),f126(a834,f327(f289(a834,f327(a111,x35761)),f327(a111,x35762)))),f292(a834,x35761,x35762)) % 153.71/153.53 [3602]E(f327(f327(f243(x36021,x36022),f234(f841(x36021,a831))),f327(f18(f841(x36022,a831),x36021),f234(f841(x36022,a831)))),f234(f841(f840(x36021,x36022),a831))) % 153.71/153.53 [3636]E(f327(f251(x36361),f327(f327(f10(a831,a831,x36361),a323),x36362)),f327(f83(f841(x36361,a831)),f327(f251(x36361),x36362))) % 153.71/153.53 [3639]E(f327(f251(x36391),f327(f327(f9(x36391,x36391,a831),a324),x36392)),f327(f327(f297(x36391),x36392),f176(f841(x36391,a831)))) % 153.71/153.53 [3646]E(f327(f327(f84(a1),f327(f327(f84(a1),x36461),x36461)),f327(f327(f84(a1),x36462),x36462)),f327(f327(f84(a1),f327(f327(f84(a1),x36461),x36462)),f327(f327(f84(a1),x36461),x36462))) % 153.71/153.53 [3647]E(f327(f327(f3(a1),f327(f327(f84(a1),x36471),x36471)),f327(f327(f84(a1),x36472),x36472)),f327(f327(f84(a1),f327(f327(f3(a1),x36471),x36472)),f327(f327(f3(a1),x36471),x36472))) % 153.71/153.53 [3663]P134(f327(f327(f227(a834),f327(f43(x36631),f327(f154(x36631),x36632))),f327(f177(f835(x36631)),x36632))) % 153.71/153.53 [3664]P134(f327(f327(f227(a834),f327(f177(f835(x36641)),f137(x36641,x36642))),f327(f177(f835(x36641)),x36642))) % 153.71/153.53 [3675]E(f327(f251(x36751),f327(f327(f9(x36751,f841(x36751,a831),a831),f329(x36751)),x36752)),x36752) % 153.71/153.53 [3689]E(f327(f327(f155(x36891),f327(f327(f3(a834),f327(f177(f835(x36891)),x36892)),f82(a834))),x36892),f113(x36891,x36892)) % 153.71/153.53 [3712]E(f171(a834,f2(a834),f327(f327(f10(a834,a834,a834),a111),f327(f231(a834),x37121)),x37122),f327(f327(f231(a834),f327(a111,x37121)),x37122)) % 153.71/153.53 [3716]E(f45(f841(x37161,a831),f327(f298(f841(f840(x37161,x37161),a831),f841(x37161,a831),f271(x37161)),x37162)),f327(f271(x37161),f45(f841(f840(x37161,x37161),a831),x37162))) % 153.71/153.53 [3717]E(f171(a834,f327(a111,x37171),f327(f327(f10(a834,a834,a834),a111),f327(f175(a834),x37171)),x37172),f327(f327(f175(a834),f327(a111,x37171)),x37172)) % 153.71/153.53 [3719]E(f327(f327(f236(a1,a1),f327(f327(f44(a1),f327(f79(a1),x37191)),f327(f79(a1),x37192))),f53(a1,f327(f79(a1),x37191),f327(f79(a1),x37192))),f61(x37191,x37192)) % 153.71/153.53 [3739]P134(f327(f327(f227(f841(f841(x37391,a831),a831)),x37392),f327(f296(x37391),f45(f841(x37391,a831),x37392)))) % 153.71/153.53 [3770]E(f327(f327(f47(x37701,f841(x37701,a831)),x37702),f327(f327(f9(x37701,f841(x37701,a831),f841(x37701,a831)),f297(x37701)),f176(f841(x37701,a831)))),x37702) % 153.71/153.53 [3771]E(f327(f327(f276(x37711,x37711,x37711),f327(f273(x37711,x37711),x37712)),f295(x37711,f327(f273(x37711,x37711),x37712))),f327(f273(x37711,x37711),f327(f327(f276(x37711,x37711,x37711),x37712),f295(x37711,x37712)))) % 153.71/153.53 [3838]E(f327(f154(x38381),f327(f128(f835(x38381),f835(x38381),f122(x38381),f112(x38381)),x38382)),f327(f327(f47(f835(x38381),f841(x38381,a831)),f327(f154(f835(x38381)),x38382)),f154(x38381))) % 153.71/153.53 [3870]E(f327(f327(f100(f841(f840(x38701,x38701),a831)),f295(x38701,f176(f841(f840(x38701,x38701),a831)))),f327(f327(f276(x38701,x38701,x38701),f295(x38701,x38702)),x38702)),f295(x38701,x38702)) % 153.71/153.53 [3908]E(f327(f327(f163(x39081,x39081),x39082),x39082),f327(f327(f138(x39081,f840(x39081,x39081)),f327(f327(f20(x39081,x39081,f840(x39081,x39081)),f236(x39081,x39081)),f7(x39081))),x39082)) % 153.71/153.53 [4022]E(f327(f128(a834,f835(x40221),f327(f9(f835(x40221),a834,a834),f327(f327(f10(a834,f841(a834,a834),f835(x40221)),f175(a834)),f177(f835(x40221)))),f2(a834)),f327(f151(f835(x40221)),x40222)),f327(f177(f835(f835(x40221))),f160(x40221,x40222))) % 153.71/153.53 [4102]E(f327(f327(f275(f840(a834,f835(x41021)),f835(x41021)),f321(a834,f835(x41021),a232,f131(x41021,x41022))),f327(f327(f20(f835(x41021),f835(x41021),f840(a834,f835(x41021))),f327(f327(f10(a834,f841(f835(x41021),f840(a834,f835(x41021))),f835(x41021)),f236(a834,f835(x41021))),f177(f835(x41021)))),f7(f835(x41021)))),f132(x41021,x41022)) % 153.71/153.53 [4228]E(f327(f251(x42281),f327(f327(f10(f841(f841(x42281,a831),a831),a831,x42281),f92(f841(x42281,a831))),f327(f327(f10(f841(f841(x42281,a831),a831),f841(f841(x42281,a831),a831),x42281),f327(f20(f841(x42281,a831),a831,a831),f327(f327(f10(a831,f841(a831,a831),f841(x42281,a831)),a330),f327(f327(f9(f841(x42281,a831),f841(f841(x42281,a831),a831),a831),f329(f841(x42281,a831))),x42282)))),f329(x42281)))),f46(f841(x42281,a831),x42282)) % 153.71/153.53 [4410]~P134(f327(f327(f228(a1),f327(f99(a1),x44101)),f327(f83(a1),f327(f99(a1),x44102)))) % 153.71/153.53 [3313]E(f327(f327(f3(a834),f327(f327(f84(a834),x33131),x33132)),x33132),x33131) % 153.71/153.53 [3314]E(f327(f327(f3(a834),f327(f327(f84(a834),x33141),x33142)),x33141),x33142) % 153.71/153.53 [3385]E(f327(f327(f84(a834),f327(f327(f3(a834),x33851),x33852)),x33852),f327(f327(f175(a834),x33851),x33852)) % 153.71/153.53 [3486]E(f327(f327(f85(a834),f327(f327(f44(a834),x34861),x34862)),x34862),f327(f327(f3(a834),x34861),f53(a834,x34861,x34862))) % 153.71/153.53 [3514]E(f327(f154(a834),f126(a834,f327(f289(a834,f327(a111,x35141)),x35142))),f293(a834,x35141,x35142)) % 153.71/153.53 [3522]E(f327(f99(a1),f206(f327(a104,f327(f79(a1),x35221)),f327(a104,f327(f79(a1),x35222)))),f327(f327(a207,x35221),x35222)) % 153.71/153.53 [3524]E(f327(f327(f100(f841(x35241,a831)),f327(f83(f841(x35241,a831)),x35242)),x35242),f234(f841(x35241,a831))) % 153.71/153.53 [3525]E(f327(f327(f101(f841(x35251,a831)),f327(f83(f841(x35251,a831)),x35252)),x35252),f176(f841(x35251,a831))) % 153.71/153.53 [3544]P134(f327(f327(f227(a834),f327(f327(f44(a834),x35441),x35442)),x35441)) % 153.71/153.53 [3545]P134(f327(f327(f227(a834),f327(f327(f3(a834),x35451),x35452)),x35451)) % 153.71/153.53 [3568]P134(f327(f327(f228(a834),x35681),f327(a111,f327(f327(f84(a834),x35682),x35681)))) % 153.71/153.53 [3569]P134(f327(f327(f228(a834),x35691),f327(a111,f327(f327(f84(a834),x35691),x35692)))) % 153.71/153.53 [3588]E(f327(f327(f85(a834),f327(a104,f327(f79(a1),x35881))),f327(a104,f327(f79(a1),x35882))),f327(a104,f327(f79(a1),f327(f327(f85(a1),x35881),x35882)))) % 153.71/153.53 [3598]P134(f327(f327(f227(a1),f2(a1)),f327(f327(f237(a1),f327(f79(a1),x35981)),x35982))) % 153.71/153.53 [3669]E(f327(f272(f835(x36691),f835(x36691),f142(x36691,x36692)),f327(f327(f297(f835(x36691)),f112(x36691)),f176(f841(f835(x36691),a831)))),f327(f327(f297(f835(x36691)),f112(x36691)),f176(f841(f835(x36691),a831)))) % 153.71/153.53 [3687]E(f327(f327(f100(f841(f840(x36871,x36871),a831)),f295(x36871,x36872)),f295(x36871,f176(f841(f840(x36871,x36871),a831)))),f295(x36871,x36872)) % 153.71/153.53 [3701]E(f327(f327(f44(a1),f327(f103(a1),f327(f327(f84(a1),x37011),x37011))),f327(f103(a1),f327(f327(f84(a1),x37012),x37012))),f327(f327(f44(a1),f327(f103(a1),x37011)),f327(f103(a1),x37012))) % 153.71/153.53 [3760]E(f327(f327(f237(a1),x37601),f327(f103(a834),f327(f327(f84(a1),x37602),x37602))),f327(f327(f90(a1,a1),f327(f327(f237(a1),x37601),f327(f103(a834),x37602))),f327(f327(f20(a1,a1,a1),f85(a1)),f7(a1)))) % 153.71/153.53 [3766]E(f327(f251(f841(x37661,a831)),f327(f327(f9(f841(x37661,a831),f841(x37661,a831),a831),f227(f841(x37661,a831))),x37662)),f327(f296(x37661),x37662)) % 153.71/153.53 [3780]E(f327(f327(f138(a1,a834),a104),f327(f327(f122(a1),f327(f327(f138(a834,a1),f99(a1)),x37801)),f327(f327(f138(a834,a1),f99(a1)),x37802))),f327(f327(f122(a834),x37801),x37802)) % 153.71/153.53 [3812]E(f327(f298(a1,a1,f327(f327(f9(a1,a1,a1),f84(a1)),x38121)),f327(f289(a1,f2(a1)),f327(f327(f3(a1),x38122),x38121))),f327(f289(a1,x38121),x38122)) % 153.71/153.53 [3815]P46(x38151,f327(f327(f3(f841(f840(x38151,x38151),a831)),x38152),f295(x38151,f176(f841(f840(x38151,x38151),a831))))) % 153.71/153.53 [3835]E(f327(f177(f835(x38351)),f327(f128(f835(x38351),f835(x38351),f122(x38351),f112(x38351)),x38352)),f327(f148(a834),f327(f327(f138(f835(x38351),a834),f177(f835(x38351))),x38352))) % 153.71/153.53 [3841]P45(x38411,f234(f841(x38411,a831)),f327(f327(f100(f841(f840(x38411,x38411),a831)),x38412),f295(x38411,f176(f841(f840(x38411,x38411),a831))))) % 153.71/153.53 [3887]E(f171(a834,f2(a834),f327(f327(f10(a834,a834,a834),a111),f327(f327(f9(a834,a834,a834),f231(a834)),x38871)),x38872),f327(f327(f231(a834),x38872),f327(a111,x38871))) % 153.71/153.53 [3890]E(f171(a834,f327(a111,x38901),f327(f327(f10(a834,a834,a834),a111),f327(f327(f9(a834,a834,a834),f175(a834)),x38901)),x38902),f327(f327(f175(a834),x38902),f327(a111,x38901))) % 153.71/153.53 [3893]E(f327(f298(x38931,f835(x38931),f327(f327(f9(x38931,f835(x38931),f835(x38931)),f136(x38931)),f112(x38931))),x38932),f157(x38931,x38932,f327(f327(f297(f835(x38931)),f112(x38931)),f176(f841(f835(x38931),a831))))) % 153.71/153.53 [3894]E(f327(f327(f100(f841(f840(x38941,x38941),a831)),f327(f327(f276(x38941,x38941,x38941),x38942),f295(x38941,x38942))),f295(x38941,f176(f841(f840(x38941,x38941),a831)))),f295(x38941,x38942)) % 153.71/153.53 [3902]P134(f327(f327(f227(f841(f840(x39021,x39021),a831)),f255(x39021,x39022)),f327(f327(f243(x39021,x39021),x39022),f327(f18(f841(x39021,a831),x39021),x39022)))) % 153.71/153.53 [3906]E(f327(f298(a1,a834,a104),f327(f327(f100(f841(a1,a831)),f327(f298(a834,a1,f99(a1)),x39061)),f327(f298(a834,a1,f99(a1)),x39062))),f327(f327(f100(f841(a834,a831)),x39061),x39062)) % 153.71/153.53 [3907]E(f327(f298(a1,a834,a104),f327(f327(f101(f841(a1,a831)),f327(f298(a834,a1,f99(a1)),x39071)),f327(f298(a834,a1,f99(a1)),x39072))),f327(f327(f101(f841(a834,a831)),x39071),x39072)) % 153.71/153.53 [3911]E(f327(f251(x39111),f327(f327(f10(a831,a831,x39111),a323),f327(f327(f9(x39111,f841(x39111,a831),a831),f329(x39111)),x39112))),f327(f83(f841(x39111,a831)),x39112)) % 153.71/153.53 [3938]E(f327(f128(f835(x39381),f835(x39381),f122(x39381),f112(x39381)),f327(f327(f138(f835(x39381),f835(x39381)),f151(x39381)),f327(f151(f835(x39381)),x39382))),f327(f151(x39381),f327(f128(f835(x39381),f835(x39381),f122(x39381),f112(x39381)),x39382))) % 153.71/153.53 [3965]E(f327(f327(f47(a834,f841(f840(x39651,x39651),a831)),f234(f841(a834,a831))),f327(f327(f9(a834,f841(f840(x39651,x39651),a831),f841(f840(x39651,x39651),a831)),f169(f840(x39651,x39651),a831)),x39652)),f295(x39651,x39652)) % 153.71/153.53 [3987]E(f89(x39871,f327(f327(f10(f841(x39871,a831),a831,x39871),f327(a324,x39872)),f327(f327(f9(x39871,f841(x39871,a831),f841(x39871,a831)),f297(x39871)),f176(f841(x39871,a831))))),f301(x39871,x39872)) % 153.71/153.53 [3995]E(f327(f177(f835(x39951)),f137(x39951,f327(f128(f835(x39951),f835(x39951),f122(x39951),f112(x39951)),x39952))),f327(f43(x39951),f327(f327(f47(f835(x39951),f841(x39951,a831)),f327(f154(f835(x39951)),x39952)),f154(x39951)))) % 153.71/153.53 [4010]E(f327(f327(f100(f841(f840(x40101,x40101),a831)),x40102),f327(f327(f276(x40101,x40101,x40101),f327(f327(f276(x40101,x40101,x40101),x40102),f295(x40101,x40102))),x40102)),f327(f327(f276(x40101,x40101,x40101),x40102),f295(x40101,x40102))) % 153.71/153.53 [4031]P134(f327(f327(f227(f841(f840(x40311,x40311),a831)),f327(f327(f276(x40311,x40311,x40311),x40312),f295(x40311,x40312))),f327(f327(f243(x40311,x40311),f327(f271(x40311),x40312)),f327(f18(f841(x40311,a831),x40311),f327(f271(x40311),x40312))))) % 153.71/153.53 [4078]E(f327(f251(f835(x40781)),f327(f327(f9(f835(x40781),f841(x40781,a831),a831),f327(f327(f10(f841(x40781,a831),f841(f841(x40781,a831),a831),f835(x40781)),f227(f841(x40781,a831))),f154(x40781))),x40782)),f144(x40781,x40782)) % 153.71/153.53 [4090]E(f327(f140(f835(x40901),x40901,f112(x40901),f327(f327(f10(f835(x40901),f841(f835(x40901),f835(x40901)),x40901),f327(f9(f835(x40901),f835(x40901),f835(x40901)),f122(x40901))),f327(f327(f9(x40901,f835(x40901),f835(x40901)),f136(x40901)),f112(x40901)))),x40902),f327(f150(x40901),x40902)) % 153.71/153.53 [4130]P28(f841(x41301,x41302),f841(f840(x41301,x41302),a831),f327(f327(f10(f841(f840(x41301,x41302),a831),f841(f840(x41301,x41302),a831),f841(x41301,x41302)),f251(f840(x41301,x41302))),f327(f327(f10(f841(x41301,f841(x41302,a831)),f841(f840(x41301,x41302),a831),f841(x41301,x41302)),f246(x41301,x41302,a831)),f327(f10(x41302,f841(x41302,a831),x41301),f327(f9(x41302,x41302,a831),a324)))),f234(f841(f841(x41301,x41302),a831))) % 153.71/153.53 [4135]E(f53(a1,f327(f103(a1),f327(f327(f84(a1),x41351),x41351)),f327(f103(a1),f327(f327(f84(a1),x41352),x41352))),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f53(a1,f327(f103(a1),x41351),f327(f103(a1),x41352)))) % 153.71/153.53 [4177]E(f327(f327(f47(x41771,f841(f840(x41771,x41771),a831)),x41772),f327(f327(f9(x41771,f841(f840(x41771,x41771),a831),f841(f840(x41771,x41771),a831)),f327(f327(f10(f840(x41771,x41771),f841(f841(f840(x41771,x41771),a831),f841(f840(x41771,x41771),a831)),x41771),f297(f840(x41771,x41771))),f327(f327(f20(x41771,x41771,f840(x41771,x41771)),f236(x41771,x41771)),f7(x41771)))),f176(f841(f840(x41771,x41771),a831)))),f255(x41771,x41772)) % 153.71/153.53 [4185]E(f193(x41851,f327(f327(f236(a1,a1),f327(f83(a1),f327(f327(f77(f840(a1,a1),a1,x41851,f235(a1,a1)),f202(x41851)),x41852))),f327(f327(f77(f840(a1,a1),a1,x41851,f245(a1,a1)),f202(x41851)),x41852))),f216(x41851,x41852)) % 153.71/153.53 [4264]E(f327(f251(f841(x42641,a831)),f327(f327(f10(f841(f841(x42641,a831),a831),a831,f841(x42641,a831)),f91(f841(x42641,a831))),f327(f327(f9(f841(x42641,a831),f841(f841(x42641,a831),a831),f841(f841(x42641,a831),a831)),f327(f327(f10(f841(f841(x42641,a831),f841(a831,a831)),f841(f841(f841(x42641,a831),a831),f841(f841(x42641,a831),a831)),f841(x42641,a831)),f20(f841(x42641,a831),a831,a831)),f327(f327(f10(f841(f841(x42641,a831),a831),f841(f841(x42641,a831),f841(a831,a831)),f841(x42641,a831)),f327(f10(a831,f841(a831,a831),f841(x42641,a831)),a325)),f327(f327(f9(f841(x42641,a831),f841(f841(x42641,a831),f841(x42641,a831)),f841(f841(x42641,a831),a831)),f327(f327(f10(f841(f841(x42641,a831),a831),f841(f841(f841(x42641,a831),f841(x42641,a831)),f841(f841(x42641,a831),a831)),f841(x42641,a831)),f10(f841(x42641,a831),a831,f841(x42641,a831))),a324)),f83(f841(x42641,a831)))))),f327(f327(f10(f841(f841(x42641,a831),a831),a831,f841(x42641,a831)),f327(f329(f841(x42641,a831)),x42642)),f296(x42641))))),f327(f296(x42641),f327(f83(f841(x42641,a831)),x42642))) % 153.71/153.53 [4407]~E(f327(f327(f84(a1),x44071),x44071),f327(f327(f3(a1),f327(f327(f84(a1),x44072),x44072)),a96)) % 153.71/153.53 [4412]~P134(f327(f327(f228(a834),f327(f327(f84(a834),x44121),x44122)),x44122)) % 153.71/153.53 [4413]~P134(f327(f327(f228(a834),f327(f327(f84(a834),x44131),x44132)),x44131)) % 153.71/153.53 [3603]E(f327(f327(f3(a834),x36031),f327(f327(f85(a834),f327(f327(f44(a834),x36031),x36032)),x36032)),f53(a834,x36031,x36032)) % 153.71/153.53 [3604]E(f327(f327(f3(a1),x36041),f327(f327(f85(a1),f327(f327(f44(a1),x36041),x36042)),x36042)),f53(a1,x36041,x36042)) % 153.71/153.53 [3637]E(f327(f327(f138(a834,x36371),f327(f146(x36371),x36372)),f126(a834,f327(f289(a834,f2(a834)),f327(f177(f835(x36371)),x36372)))),x36372) % 153.71/153.53 [3697]E(f327(f272(x36971,x36971,f295(x36971,f176(f841(f840(x36971,x36971),a831)))),x36972),x36972) % 153.71/153.53 [3816]E(f295(x38161,f327(f327(f3(f841(f840(x38161,x38161),a831)),x38162),f295(x38161,f176(f841(f840(x38161,x38161),a831))))),f295(x38161,x38162)) % 153.71/153.53 [3817]E(f295(x38171,f327(f327(f100(f841(f840(x38171,x38171),a831)),x38172),f295(x38171,f176(f841(f840(x38171,x38171),a831))))),f295(x38171,x38172)) % 153.71/153.53 [3874]E(f327(f327(f3(a1),f327(f327(f3(a1),f327(f327(f84(a1),x38741),x38741)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),x38742),x38742)),a96)),f327(f327(f84(a1),f327(f327(f3(a1),x38741),x38742)),f327(f327(f3(a1),x38741),x38742))) % 153.71/153.53 [3916]E(f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f84(a1),x39161),x39162)),f327(f327(f84(a1),x39161),x39162))),a96),f327(f327(f84(a1),f327(f327(f84(a1),x39161),x39161)),f327(f327(f3(a1),f327(f327(f84(a1),x39162),x39162)),a96))) % 153.71/153.53 [3942]E(f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),x39421),x39421)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),x39422),x39422)),a96)),f327(f327(f84(a1),f327(f327(f84(a1),x39421),f327(f327(f3(a1),x39422),a96))),f327(f327(f84(a1),x39421),f327(f327(f3(a1),x39422),a96)))) % 153.71/153.53 [3953]E(f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f84(a1),x39531),x39532)),f327(f327(f84(a1),x39531),x39532))),a96),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),x39531),x39531)),a96)),f327(f327(f84(a1),x39532),x39532))) % 153.71/153.53 [3954]E(f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),x39541),x39542)),f327(f327(f3(a1),x39541),x39542))),a96),f327(f327(f3(a1),f327(f327(f3(a1),f327(f327(f84(a1),x39541),x39541)),a96)),f327(f327(f84(a1),x39542),x39542))) % 153.71/153.53 [4007]E(f327(f99(a1),f327(f327(f44(a834),f327(f327(f85(a834),f327(a104,f327(f79(a1),x40071))),f327(a104,f327(f79(a1),x40072)))),f206(f327(a104,f327(f79(a1),x40071)),f327(a104,f327(f79(a1),x40072))))),f208(x40071,x40072)) % 153.71/153.53 [4052]E(f327(f327(f248(f840(a98,a98),a98,f840(a98,a98),f840(x40521,f840(a98,a98))),f259(f327(a5,f327(f177(f835(x40521)),x40522)))),f327(f327(f10(x40521,f841(f840(a98,a98),f840(x40521,f840(a98,a98))),a98),f236(x40521,f840(a98,a98))),f327(f327(f10(a834,x40521,a98),f327(f146(x40521),x40522)),a22))),f265(x40521,x40522)) % 153.71/153.53 [4136]E(f327(f128(a834,f835(x41361),f327(f9(f835(x41361),a834,a834),f327(f327(f10(a834,f841(a834,a834),f835(x41361)),f175(a834)),f177(f835(x41361)))),f2(a834)),f327(f151(f835(x41361)),f160(x41361,x41362))),f327(f177(f835(f835(x41361))),f327(f123(f835(x41361),f327(f327(f10(a831,a831,f835(x41361)),a323),f327(f327(f9(f835(x41361),f835(x41361),a831),a324),f112(x41361)))),x41362))) % 153.71/153.53 [4142]E(f327(f327(f47(a834,f841(x41421,a831)),f234(f841(a834,a831))),f327(f327(f9(a834,f841(a834,f841(x41421,a831)),f841(x41421,a831)),f327(f327(f10(f841(a834,a831),f841(f841(a834,f841(x41421,a831)),f841(x41421,a831)),a834),f47(a834,f841(x41421,a831))),f289(a834,f2(a834)))),x41422)),f327(f327(f47(a834,f841(x41421,a831)),f234(f841(a834,a831))),x41422)) % 153.71/153.53 [4161]P134(f327(f66(a834),f327(f251(a834),f327(f327(f20(a834,a831,a831),f327(f327(f10(a831,f841(a831,a831),a834),a325),x41611)),f327(f327(f9(a834,a834,a831),f228(a834)),x41612))))) % 153.71/153.53 [4273]E(f327(f251(f840(f835(x42731),f835(x42731))),f327(f246(f835(x42731),f835(x42731),a831),f327(f327(f20(f835(x42731),f841(f835(x42731),a831),f841(f835(x42731),a831)),f327(f327(f10(f841(f835(x42731),f841(a831,a831)),f841(f841(f835(x42731),a831),f841(f835(x42731),a831)),f835(x42731)),f20(f835(x42731),a831,a831)),f327(f327(f10(f841(f835(x42731),a831),f841(f835(x42731),f841(a831,a831)),f835(x42731)),f327(f10(a831,f841(a831,a831),f835(x42731)),a326)),f327(f327(f9(f835(x42731),f841(f835(x42731),a834),f841(f835(x42731),a831)),f327(f327(f10(f841(a834,a831),f841(f841(f835(x42731),a834),f841(f835(x42731),a831)),f835(x42731)),f10(a834,a831,f835(x42731))),f327(f327(f10(a834,f841(a834,a831),f835(x42731)),f228(a834)),f177(f835(x42731))))),f177(f835(x42731)))))),f327(f327(f20(f835(x42731),f841(f835(x42731),a831),f841(f835(x42731),a831)),f327(f327(f10(f841(f835(x42731),f841(a831,a831)),f841(f841(f835(x42731),a831),f841(f835(x42731),a831)),f835(x42731)),f20(f835(x42731),a831,a831)),f327(f327(f10(f841(f835(x42731),a831),f841(f835(x42731),f841(a831,a831)),f835(x42731)),f327(f10(a831,f841(a831,a831),f835(x42731)),a325)),f327(f327(f9(f835(x42731),f841(f835(x42731),a834),f841(f835(x42731),a831)),f327(f327(f10(f841(a834,a831),f841(f841(f835(x42731),a834),f841(f835(x42731),a831)),f835(x42731)),f10(a834,a831,f835(x42731))),f327(f327(f10(a834,f841(a834,a831),f835(x42731)),a324),f177(f835(x42731))))),f177(f835(x42731)))))),f327(f327(f9(f835(x42731),f841(f840(f835(x42731),f835(x42731)),a831),f841(f835(x42731),a831)),f327(f327(f10(f841(f835(x42731),f841(f841(f840(f835(x42731),f835(x42731)),a831),a831)),f841(f841(f840(f835(x42731),f835(x42731)),a831),f841(f835(x42731),a831)),f835(x42731)),f9(f835(x42731),f841(f840(f835(x42731),f835(x42731)),a831),a831)),f327(f327(f10(f841(f835(x42731),f840(f835(x42731),f835(x42731))),f841(f835(x42731),f841(f841(f840(f835(x42731),f835(x42731)),a831),a831)),f835(x42731)),f327(f10(f840(f835(x42731),f835(x42731)),f841(f841(f840(f835(x42731),f835(x42731)),a831),a831),f835(x42731)),f329(f840(f835(x42731),f835(x42731))))),f236(f835(x42731),f835(x42731))))),f131(x42731,x42732)))))),f132(x42731,x42732)) % 153.71/153.53 [3945]E(f327(f327(f84(a1),f327(f327(f84(a1),f327(f327(f85(a1),x39451),x39452)),f327(f327(f85(a1),x39451),x39452))),x39452),f327(f327(f85(a1),f327(f327(f3(a1),f327(f327(f84(a1),x39451),x39451)),a96)),x39452)) % 153.71/153.53 [4050]E(f327(a104,f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x40501),x40502)),f176(f841(f840(a834,a834),a831)))))),f327(f327(f3(a834),x40501),x40502)) % 153.71/153.53 [4056]E(f327(f327(f276(x40561,x40561,x40561),f327(f327(f100(f841(f840(x40561,x40561),a831)),x40562),f295(x40561,f176(f841(f840(x40561,x40561),a831))))),f295(x40561,f327(f327(f100(f841(f840(x40561,x40561),a831)),x40562),f295(x40561,f176(f841(f840(x40561,x40561),a831)))))),f295(x40561,x40562)) % 153.71/153.53 [4095]E(f260(x40951,f327(f123(f840(a98,x40951),f327(f246(a98,x40951,a831),f327(f327(f10(a831,f841(x40951,a831),a98),f18(a831,x40951)),f327(f228(a98),f2(a98))))),x40952)),f260(x40951,x40952)) % 153.71/153.53 [4096]E(f258(x40961,f327(f123(f840(a98,x40961),f327(f246(a98,x40961,a831),f327(f327(f10(a831,f841(x40961,a831),a98),f18(a831,x40961)),f327(f228(a98),f2(a98))))),x40962)),f258(x40961,x40962)) % 153.71/153.53 [4098]E(f327(f83(a1),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x40981),x40982)),f176(f841(f840(a834,a834),a831)))))),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x40982),x40981)),f176(f841(f840(a834,a834),a831)))))) % 153.71/153.53 [4174]E(f327(f327(f90(a1,a834),f327(f103(a1),f327(f327(f84(a1),x41741),a96))),f327(f327(f20(a1,a834,a834),f327(f327(f9(a1,a834,f841(a834,a834)),f327(f327(f10(a831,f841(a834,f841(a834,a834)),a1),f95(a834)),a182)),f2(a834))),f327(f327(f10(a834,a834,a1),a111),f327(f327(f10(a834,a834,a1),f327(f231(a834),x41742)),a104)))),f327(f327(f231(a834),f327(a111,x41742)),f327(f103(a834),x41741))) % 153.71/153.53 [4175]E(f327(f327(f90(a1,a834),f327(f103(a1),f327(f327(f84(a1),x41751),a96))),f327(f327(f20(a1,a834,a834),f327(f327(f9(a1,a834,f841(a834,a834)),f327(f327(f10(a831,f841(a834,f841(a834,a834)),a1),f95(a834)),a182)),f327(a111,x41752))),f327(f327(f10(a834,a834,a1),a111),f327(f327(f10(a834,a834,a1),f327(f175(a834),x41752)),a104)))),f327(f327(f175(a834),f327(a111,x41752)),f327(f103(a834),x41751))) % 153.71/153.53 [4195]E(f327(f128(f835(x41951),f835(x41951),f122(x41951),f112(x41951)),f327(f327(f138(f835(x41951),f835(x41951)),f140(f835(x41951),x41951,f112(x41951),f327(f327(f10(f835(x41951),f841(f835(x41951),f835(x41951)),x41951),f18(f835(x41951),f835(x41951))),f327(f327(f9(x41951,f835(x41951),f835(x41951)),f136(x41951)),f112(x41951))))),x41952)),f327(f327(f138(f835(x41951),x41951),f127(x41951)),f327(f123(f835(x41951),f327(f327(f10(a831,a831,f835(x41951)),a323),f327(f327(f9(f835(x41951),f835(x41951),a831),a324),f112(x41951)))),x41952))) % 153.71/153.53 [4256]E(f327(f246(a1,a1,a831),f327(f327(f9(a1,f841(a1,a831),f841(a1,a831)),f327(f327(f10(f841(a1,f841(a831,a831)),f841(f841(a1,a831),f841(a1,a831)),a1),f20(a1,a831,a831)),f327(f327(f10(f841(a1,a831),f841(a1,f841(a831,a831)),a1),f327(f10(a831,f841(a831,a831),a1),a325)),f327(f327(f10(f841(a1,a1),f841(a1,a831),a1),f327(f10(a1,a831,a1),f327(a324,x42561))),f327(f327(f10(a1,f841(a1,a1),a1),f84(a1)),f327(f85(a1),x42562)))))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f327(f10(a831,a831,a1),f327(a330,f327(f327(f228(a1),f2(a1)),x42562))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f227(a1),f2(a1)))),f327(f327(f9(a1,a1,a831),f228(a1)),x42562))))),f327(f327(f10(a831,a831,a1),f327(a330,f327(a323,f327(f327(f228(a1),f2(a1)),x42562)))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f228(a1),x42562))),f327(f327(f9(a1,a1,a831),f227(a1)),f2(a1))))))),f57(x42561,x42562)) % 153.71/153.53 [4258]E(f327(f251(x42581),f327(f327(f10(f841(a834,a831),a831,x42581),f91(a834)),f327(f327(f9(x42581,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),x42581),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),x42581),f327(f10(a831,f841(a831,a831),a834),a325)),f327(f327(f9(x42581,f841(a834,x42581),f841(a834,a831)),f327(f327(f10(f841(x42581,a831),f841(f841(a834,x42581),f841(a834,a831)),x42581),f10(x42581,a831,a834)),a324)),f327(f146(x42581),x42582))))),f327(f327(f9(a834,a834,a831),f228(a834)),f327(f177(f835(x42581)),x42582))))),f327(f154(x42581),x42582)) % 153.71/153.53 [4068]E(f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),x40681),a96)),x40682)),f327(f327(f3(a1),f327(f327(f84(a1),x40681),a96)),x40682))),a96),f327(f327(f3(a1),f327(f327(f84(a1),x40681),x40681)),f327(f327(f3(a1),f327(f327(f84(a1),x40682),x40682)),a96))) % 153.71/153.53 [4190]E(f327(f128(f835(f835(x41901)),f835(f835(x41901)),f122(f835(x41901)),f112(f835(x41901))),f327(f327(f138(f835(x41901),f835(f835(x41901))),f140(f835(f835(x41901)),x41901,f112(f835(x41901)),f327(f18(f841(f835(x41901),f835(f835(x41901))),x41901),f327(f327(f9(f835(x41901),f835(f835(x41901)),f835(f835(x41901))),f136(f835(x41901))),f112(f835(x41901)))))),x41902)),f327(f327(f138(f835(x41901),f835(x41901)),f153(x41901)),f327(f123(f835(x41901),f327(f327(f10(a831,a831,f835(x41901)),a323),f327(f327(f9(f835(x41901),f835(x41901),a831),a324),f112(x41901)))),x41902))) % 153.71/153.53 [4200]E(f327(f327(f90(a1,a834),f327(f103(a1),f327(f327(f84(a1),x42001),a96))),f327(f327(f20(a1,a834,a834),f327(f327(f9(a1,a834,f841(a834,a834)),f327(f327(f10(a831,f841(a834,f841(a834,a834)),a1),f95(a834)),a182)),f2(a834))),f327(f327(f10(a834,a834,a1),a111),f327(f327(f9(a1,a834,a834),f327(f327(f10(a834,f841(a834,a834),a1),f231(a834)),a104)),x42002)))),f327(f327(f231(a834),f327(f103(a834),x42001)),f327(a111,x42002))) % 153.71/153.53 [4201]E(f327(f327(f90(a1,a834),f327(f103(a1),f327(f327(f84(a1),x42011),a96))),f327(f327(f20(a1,a834,a834),f327(f327(f9(a1,a834,f841(a834,a834)),f327(f327(f10(a831,f841(a834,f841(a834,a834)),a1),f95(a834)),a182)),f327(a111,x42012))),f327(f327(f10(a834,a834,a1),a111),f327(f327(f9(a1,a834,a834),f327(f327(f10(a834,f841(a834,a834),a1),f175(a834)),a104)),x42012)))),f327(f327(f175(a834),f327(f103(a834),x42011)),f327(a111,x42012))) % 153.71/153.53 [4189]E(f327(f246(x41891,x41891,a831),f327(f327(f20(x41891,a831,f841(x41891,a831)),f327(f327(f10(f841(x41891,f841(a831,a831)),f841(a831,f841(x41891,a831)),x41891),f9(x41891,a831,a831)),f327(f327(f10(f841(x41891,a831),f841(x41891,f841(a831,a831)),x41891),f327(f10(a831,f841(a831,a831),x41891),a325)),a324))),x41892)),f255(x41891,x41892)) % 153.71/153.53 [4234]E(f327(f327(f44(a834),x42341),f327(f327(f84(a834),f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),a96))),x42342)),f327(f327(f44(a834),x42341),f327(a111,f327(a111,f327(a111,x42342))))) % 153.71/153.53 [4235]E(f53(a834,x42351,f327(f327(f84(a834),f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),a96))),x42352)),f53(a834,x42351,f327(a111,f327(a111,f327(a111,x42352))))) % 153.71/153.53 [4236]E(f53(a834,f327(f327(f84(a834),f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),a96))),x42361),x42362),f53(a834,f327(a111,f327(a111,f327(a111,x42361))),x42362)) % 153.71/153.53 [4249]E(f120(f327(x42491,f327(f327(f85(a98),f327(f103(a98),f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),a96))),x42492))),f327(f190(x42491),x42492)) % 153.71/153.53 [4250]E(f327(f327(f44(a834),f327(f327(f84(a834),f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),a96))),x42501)),x42502),f327(f327(f44(a834),f327(a111,f327(a111,f327(a111,x42501)))),x42502)) % 153.71/153.53 [3423]P28(x34231,f842(x34232,x34231),f308(x34231,x34232),x34233) % 153.71/153.53 [3424]P28(x34241,f842(x34241,x34242),f299(x34241,x34242),x34243) % 153.71/153.53 [4313]~E(f26(x43131),f36(x43132,x43133)) % 153.71/153.53 [4314]~E(f26(x43141),f35(x43142,x43143)) % 153.71/153.53 [4315]~E(f26(x43151),f28(x43152,x43153)) % 153.71/153.53 [4316]~E(f36(x43161,x43162),f26(x43163)) % 153.71/153.53 [4317]~E(f35(x43171,x43172),f26(x43173)) % 153.71/153.53 [4318]~E(f28(x43181,x43182),f26(x43183)) % 153.71/153.53 [4339]~E(f33(x43391,x43392,x43393),a25) % 153.71/153.53 [4340]~E(f31(x43401,x43402,x43403),a25) % 153.71/153.53 [4341]~E(f32(x43411,x43412,x43413),a25) % 153.71/153.53 [3039]E(f327(f189(x30391,x30392),x30393),f117(x30391,x30392)) % 153.71/153.53 [3040]E(f327(f181(x30401,x30402),x30403),f118(x30401,x30402)) % 153.71/153.53 [3133]E(f327(f327(f138(x31331,x31332),x31333),f112(x31331)),f112(x31332)) % 153.71/153.53 [3134]E(f327(f327(f191(x31341,x31342),x31343),f179(x31341)),f179(x31342)) % 153.71/153.53 [3154]E(f34(f31(x31541,x31542,x31543)),f2(a834)) % 153.71/153.53 [3174]E(f327(f170(x31741,x31742,x31743),f2(a834)),x31742) % 153.71/153.53 [3175]E(f327(f177(a832),f31(x31751,x31752,x31753)),f2(a834)) % 153.71/153.53 [3176]E(f327(f327(f163(x31761,x31762),x31763),f112(x31762)),f112(f840(x31761,x31762))) % 153.71/153.53 [3212]E(f89(x32121,f67(x32121,x32122,x32123)),f327(f68(x32121,x32122),x32123)) % 153.71/153.53 [3281]E(f327(f235(f835(x32811),f835(x32811)),f149(x32811,x32812,x32813)),f327(f123(x32811,x32812),x32813)) % 153.71/153.53 [3328]P36(f28(x33281,x33282),x33283,f184(x33283,x33281,f327(x33282,x33283))) % 153.71/153.53 [3360]E(f171(x33601,x33602,x33603,f2(a834)),x33602) % 153.71/153.53 [3361]E(f19(x33611,x33612,x33613,f2(a98)),x33612) % 153.71/153.53 [3362]E(f21(x33621,x33622,x33623,f2(a98)),x33622) % 153.71/153.53 [3369]E(f147(x33691,x33692,x33693,f112(x33691)),f112(x33692)) % 153.71/153.53 [3376]E(f327(f327(f146(x33761),f327(f327(f136(x33761),x33762),x33763)),f2(a834)),x33762) % 153.71/153.53 [3422]P28(x34221,x34222,x34223,f176(f841(x34221,a831))) % 153.71/153.53 [3518]E(f257(x35181,x35182,x35183),f327(f236(f841(a98,f841(a831,f838(f836(x35181)))),f840(a98,a98)),f49(x35181))) % 153.71/153.53 [3578]E(f327(f77(x35781,x35782,x35781,x35783),f39(x35781)),x35783) % 153.71/153.53 [3751]P134(f327(f327(f329(f840(x37511,x37511)),f327(f327(f236(x37511,x37511),x37512),x37512)),f295(x37511,x37513))) % 153.71/153.53 [4416]~P134(f327(f327(f329(f840(f835(x44161),f835(x44161))),f327(f327(f236(f835(x44161),f835(x44161)),x44162),f112(x44161))),f131(x44161,x44163))) % 153.71/153.53 [4417]~P134(f327(f327(f329(f840(f835(x44171),f835(x44171))),f327(f327(f236(f835(x44171),f835(x44171)),x44172),f112(x44171))),f133(x44171,x44173))) % 153.71/153.53 [4418]~P134(f327(f327(f329(f840(f835(x44181),f835(x44181))),f327(f327(f236(f835(x44181),f835(x44181)),x44182),f112(x44181))),f141(x44181,x44183))) % 153.71/153.53 [4419]~P134(f327(f327(f329(f840(f835(x44191),f835(x44191))),f327(f327(f236(f835(x44191),f835(x44191)),f112(x44191)),x44192)),f131(x44191,x44193))) % 153.71/153.53 [4420]~P134(f327(f327(f329(f840(f835(x44201),f835(x44201))),f327(f327(f236(f835(x44201),f835(x44201)),f112(x44201)),x44202)),f141(x44201,x44203))) % 153.71/153.53 [3110]E(f327(f327(f192(x31101),x31102),x31103),f193(x31101,f205(x31102,x31103))) % 153.71/153.53 [3164]E(f327(f273(x31641,x31642),f327(f273(x31642,x31641),x31643)),x31643) % 153.71/153.53 [3179]E(f307(x31791,x31792,f327(f299(x31791,x31792),x31793)),x31793) % 153.71/153.53 [3180]E(f310(x31801,x31802,f327(f308(x31802,x31801),x31803)),x31803) % 153.71/153.53 [3186]E(f327(f327(f163(x31861,x31862),f112(x31861)),x31863),f112(f840(x31861,x31862))) % 153.71/153.53 [3189]E(f156(x31891,x31892,f327(f252(a834),x31893)),f327(f327(f155(x31891),x31893),x31892)) % 153.71/153.53 [3203]E(f327(f177(f842(x32031,x32032)),f327(f299(x32031,x32032),x32033)),f2(a834)) % 153.71/153.53 [3204]E(f327(f177(f842(x32041,x32042)),f327(f308(x32042,x32041),x32043)),f2(a834)) % 153.71/153.53 [3209]E(f137(x32091,f327(f123(x32091,x32092),x32093)),f327(f123(x32091,x32092),f137(x32091,x32093))) % 153.71/153.53 [3210]E(f327(f254(x32101,x32102),f327(f273(x32102,x32101),x32103)),f327(f256(x32102,x32101),x32103)) % 153.71/153.53 [3211]E(f327(f256(x32111,x32112),f327(f273(x32112,x32111),x32113)),f327(f254(x32112,x32111),x32113)) % 153.71/153.53 [3226]E(f327(f123(x32261,x32262),f327(f151(x32261),x32263)),f327(f151(x32261),f327(f123(x32261,x32262),x32263))) % 153.71/153.53 [3239]E(f327(f327(f125(x32391),x32392),f327(f153(x32391),x32393)),f327(f327(f125(x32391),f327(a111,x32392)),x32393)) % 153.71/153.53 [3257]E(f34(f32(x32571,x32572,x32573)),f327(f327(f84(a834),f34(x32573)),f327(a111,f2(a834)))) % 153.71/153.53 [3258]E(f327(f298(x32581,x32582,x32583),f176(f841(x32581,a831))),f176(f841(x32582,a831))) % 153.71/153.53 [3259]E(f327(f272(x32591,x32592,x32593),f176(f841(x32591,a831))),f176(f841(x32592,a831))) % 153.71/153.53 [3260]E(f327(f300(x32601,x32602,x32603),f234(f841(x32602,a831))),f234(f841(x32601,a831))) % 153.71/153.53 [3261]E(f327(f300(x32611,x32612,x32613),f176(f841(x32612,a831))),f176(f841(x32611,a831))) % 153.71/153.53 [3298]E(f223(x32981,x32982,f327(f222(x32981),x32983)),f327(f327(f84(a834),f327(x32982,x32983)),f327(a111,f2(a834)))) % 153.71/153.53 [3380]E(f327(f177(a832),f32(x33801,x33802,x33803)),f327(f327(f84(a834),f327(f177(a832),x33803)),f327(a111,f2(a834)))) % 153.71/153.53 [3381]E(f327(f298(f840(x33811,x33812),x33812,f245(x33811,x33812)),x33813),f327(f254(x33811,x33812),x33813)) % 153.71/153.53 [3382]E(f327(f298(f840(x33821,x33822),x33821,f235(x33821,x33822)),x33823),f327(f256(x33821,x33822),x33823)) % 153.71/153.53 [3449]E(f327(f327(f236(x34491,x34492),f327(f235(x34491,x34492),x34493)),f327(f245(x34491,x34492),x34493)),x34493) % 153.71/153.53 [3456]E(f327(f327(f246(x34561,x34562,x34561),f18(x34561,x34562)),x34563),f327(f235(x34561,x34562),x34563)) % 153.71/153.53 [3475]E(f166(x34751,x34752,x34753,f327(f18(f838(x34752),x34751),f179(x34752))),x34753) % 153.71/153.53 [3476]E(f166(x34761,x34762,f327(f18(f838(x34762),x34761),f179(x34762)),x34763),x34763) % 153.71/153.53 [3533]E(f34(f33(x35331,x35332,x35333)),f327(f327(f84(a834),f327(f327(f84(a834),f34(x35332)),f34(x35333))),f327(a111,f2(a834)))) % 153.71/153.53 [3582]E(f327(f77(x35821,x35821,x35822,f39(x35821)),x35823),x35823) % 153.71/153.53 [3667]P134(f327(f66(x36671),f165(x36671,x36672,f162(x36671,x36672,x36673)))) % 153.71/153.53 [3690]E(f327(f177(a832),f33(x36901,x36902,x36903)),f327(f327(f84(a834),f327(f327(f84(a834),f327(f177(a832),x36902)),f327(f177(a832),x36903))),f327(a111,f2(a834)))) % 153.71/153.53 [3761]P134(f327(f327(f227(f841(x37611,a831)),f327(f154(x37611),f327(f123(x37611,x37612),x37613))),f327(f154(x37611),x37613))) % 153.71/153.53 [3803]P134(f327(f327(f227(f841(x38031,a831)),f327(f154(x38031),f327(f327(f155(x38031),x38032),x38033))),f327(f154(x38031),x38033))) % 153.71/153.53 [3804]P134(f327(f327(f227(f841(x38041,a831)),f327(f154(x38041),f327(f327(f125(x38041),x38042),x38043))),f327(f154(x38041),x38043))) % 153.71/153.53 [3808]P134(f327(f327(f227(f841(x38081,a831)),f327(f154(x38081),f152(x38081,x38082,x38083))),f327(f154(x38081),x38083))) % 153.71/153.53 [3809]P134(f327(f327(f227(f841(x38091,a831)),f327(f154(x38091),f156(x38091,x38092,x38093))),f327(f154(x38091),x38092))) % 153.71/153.53 [3833]P28(f840(x38331,x38332),f840(x38332,x38331),f327(f246(x38331,x38332,f840(x38332,x38331)),f327(f9(x38332,x38331,f840(x38332,x38331)),f236(x38332,x38331))),x38333) % 153.71/153.53 [3846]E(f327(f327(f327(f169(f835(x38461),f835(x38461)),f53(a834,x38462,f327(f177(f835(x38461)),x38463))),f150(x38461)),x38463),f327(f327(f327(f169(f835(x38461),f835(x38461)),x38462),f150(x38461)),x38463)) % 153.71/153.53 [3891]P134(f327(f327(f329(f840(f835(x38911),f835(x38911))),f327(f327(f236(f835(x38911),f835(x38911)),x38912),x38912)),f142(x38911,f295(x38911,x38913)))) % 153.71/153.53 [4035]E(f89(f840(x40351,x40352),f327(f327(f20(f840(x40351,x40352),x40352,a831),f327(f327(f10(x40351,f841(x40352,a831),f840(x40351,x40352)),x40353),f235(x40351,x40352))),f245(x40351,x40352))),f89(f840(x40351,x40352),f327(f246(x40351,x40352,a831),x40353))) % 153.71/153.53 [4036]E(f94(f840(x40361,x40362),f327(f327(f20(f840(x40361,x40362),x40362,a831),f327(f327(f10(x40361,f841(x40362,a831),f840(x40361,x40362)),x40363),f235(x40361,x40362))),f245(x40361,x40362))),f94(f840(x40361,x40362),f327(f246(x40361,x40362,a831),x40363))) % 153.71/153.53 [4075]E(f327(f327(f275(f840(a834,x40751),x40751),f321(a834,x40751,a232,x40752)),f327(f327(f20(x40751,x40751,f840(a834,x40751)),f327(f327(f10(a834,f841(x40751,f840(a834,x40751)),x40751),f236(a834,x40751)),x40753)),f7(x40751))),f322(x40751,x40753,x40752)) % 153.71/153.53 [4138]E(f327(f247(x41381,x41381,x41382,x41382,f7(x41381),f7(x41382)),x41383),x41383) % 153.71/153.53 [4211]E(f327(f128(f835(f835(x42111)),f835(f835(x42111)),f122(f835(x42111)),f112(f835(x42111))),f327(f327(f138(f835(x42111),f835(f835(x42111))),f327(f327(f9(f835(x42111),f835(x42111),f835(f835(x42111))),f327(f327(f10(f841(x42111,f835(x42111)),f841(f835(x42111),f835(f835(x42111))),f835(x42111)),f138(x42111,f835(x42111))),f327(f9(x42111,f835(x42111),f835(x42111)),f136(x42111)))),x42112)),f64(x42111,x42113,x42112))),f64(x42111,f327(a111,x42113),x42112)) % 153.71/153.53 [4272]E(f327(f327(f90(a1,x42721),f208(f327(f327(f77(f840(a1,a1),a1,x42721,f245(a1,a1)),f202(x42721)),x42722),f327(f327(f77(f840(a1,a1),a1,x42721,f245(a1,a1)),f202(x42721)),x42723))),f327(f327(f20(a1,a1,x42721),f327(f327(f10(a1,f841(a1,x42721),a1),f192(x42721)),f327(f327(f20(a1,a1,a1),f327(f327(f10(a1,f841(a1,a1),a1),f84(a1)),f327(f327(f10(a1,a1,a1),f327(f85(a1),f327(f327(f77(f840(a1,a1),a1,x42721,f235(a1,a1)),f202(x42721)),x42722))),f327(f327(f9(a1,a1,a1),f44(a1)),f327(f327(f77(f840(a1,a1),a1,x42721,f245(a1,a1)),f202(x42721)),x42722))))),f327(f327(f10(a1,a1,a1),f327(f85(a1),f327(f327(f77(f840(a1,a1),a1,x42721,f235(a1,a1)),f202(x42721)),x42723))),f327(f327(f9(a1,a1,a1),f44(a1)),f327(f327(f77(f840(a1,a1),a1,x42721,f245(a1,a1)),f202(x42721)),x42723)))))),f7(a1))),f219(x42721,x42722,x42723)) % 153.71/153.53 [4334]~E(f327(f327(f136(x43341),x43342),x43343),x43343) % 153.71/153.53 [4343]~E(f327(f327(f136(x43431),x43432),x43433),f112(x43431)) % 153.71/153.53 [4369]~E(f327(f327(f297(x43691),x43692),x43693),f176(f841(x43691,a831))) % 153.71/153.53 [4398]~E(f327(f298(x43981,f841(x43981,a831),x43982),x43983),f327(f296(x43981),x43983)) % 153.71/153.53 [3168]E(f327(f327(f143(x31681,f112(x31681)),x31682),x31683),f112(x31681)) % 153.71/153.53 [3169]E(f327(f127(x31691),f327(f327(f136(x31691),x31692),x31693)),x31692) % 153.71/153.53 [3170]E(f327(f153(x31701),f327(f327(f136(x31701),x31702),x31703)),x31703) % 153.71/153.53 [3215]E(f327(f327(f125(x32151),f82(a834)),f327(f327(f136(x32151),x32152),x32153)),x32153) % 153.71/153.53 [3246]E(f113(x32461,f327(f327(f125(x32461),x32462),x32463)),f327(f327(f125(x32461),x32462),f113(x32461,x32463))) % 153.71/153.53 [3248]E(f327(f327(f143(x32481,x32482),x32483),f327(f327(f146(x32481),x32482),x32483)),x32482) % 153.71/153.53 [3271]E(f327(f327(f297(x32711),x32712),f327(f327(f297(x32711),x32712),x32713)),f327(f327(f297(x32711),x32712),x32713)) % 153.71/153.53 [3284]E(f327(f327(f297(x32841),x32842),f327(f154(x32841),x32843)),f327(f154(x32841),f327(f327(f136(x32841),x32842),x32843))) % 153.71/153.53 [3286]E(f327(f327(f125(x32861),x32862),f327(f153(x32861),x32863)),f327(f153(x32861),f327(f327(f125(x32861),x32862),x32863))) % 153.71/153.53 [3295]E(f327(f327(f155(x32951),f82(a834)),f327(f327(f136(x32951),x32952),x32953)),f327(f327(f136(x32951),x32952),f112(x32951))) % 153.71/153.53 [3330]E(f327(f162(x33301,x33302,f112(f840(x33301,x33302))),x33303),f179(x33302)) % 153.71/153.53 [3345]E(f327(f68(x33451,x33452),f327(f327(f297(x33451),x33453),f176(f841(x33451,a831)))),x33453) % 153.71/153.53 [3387]E(f327(f327(f84(a834),x33871),f327(f327(f84(a834),x33872),x33873)),f327(f327(f84(a834),x33872),f327(f327(f84(a834),x33871),x33873))) % 153.71/153.53 [3388]E(f327(f327(f84(a1),x33881),f327(f327(f84(a1),x33882),x33883)),f327(f327(f84(a1),x33882),f327(f327(f84(a1),x33881),x33883))) % 153.71/153.53 [3393]E(f327(f327(f243(x33931,x33932),f176(f841(x33931,a831))),x33933),f176(f841(f840(x33931,x33932),a831))) % 153.71/153.53 [3414]E(f327(f327(f100(f841(x34141,a831)),x34142),x34143),f327(f327(f100(f841(x34141,a831)),x34143),x34142)) % 153.71/153.53 [3415]E(f327(f327(f101(f841(x34151,a831)),x34152),x34153),f327(f327(f101(f841(x34151,a831)),x34153),x34152)) % 153.71/153.53 [3417]E(f327(f327(f122(x34171),x34172),f327(f327(f136(x34171),x34173),f112(x34171))),f327(f150(x34171),f327(f327(f136(x34171),x34173),x34172))) % 153.71/153.53 [3418]E(f327(f327(f122(x34181),f327(f151(x34181),x34182)),f327(f151(x34181),x34183)),f327(f151(x34181),f327(f327(f122(x34181),x34183),x34182))) % 153.71/153.53 [3428]E(f327(f153(x34281),f327(f327(f155(x34281),f327(a111,x34282)),x34283)),f327(f327(f155(x34281),x34282),f327(f153(x34281),x34283))) % 153.71/153.53 [3435]P134(f327(f327(f329(x34351),x34352),f327(f327(f297(x34351),x34352),x34353))) % 153.71/153.53 [3439]E(f327(f327(f48(x34391,f841(x34392,a831)),f176(f841(x34391,a831))),x34393),f234(f841(x34392,a831))) % 153.71/153.53 [3442]E(f327(f272(x34421,x34421,f255(x34421,x34422)),x34423),f327(f327(f101(f841(x34421,a831)),x34422),x34423)) % 153.71/153.53 [3454]E(f327(f177(f835(x34541)),f327(f327(f136(x34541),x34542),x34543)),f327(f327(f84(a834),f327(f177(f835(x34541)),x34543)),f327(a111,f2(a834)))) % 153.71/153.53 [3458]E(f130(x34581,f327(f327(f122(x34581),x34582),f327(f327(f136(x34581),x34583),f112(x34581)))),x34583) % 153.71/153.53 [3459]E(f113(x34591,f327(f327(f122(x34591),x34592),f327(f327(f136(x34591),x34593),f112(x34591)))),x34592) % 153.71/153.53 [3464]E(f327(f327(f122(x34641),f327(f327(f155(x34641),x34642),x34643)),f327(f327(f125(x34641),x34642),x34643)),x34643) % 153.71/153.53 [3473]E(f327(f327(f3(a834),f327(f327(f84(a834),x34731),x34732)),f327(f327(f84(a834),x34733),x34732)),f327(f327(f3(a834),x34731),x34733)) % 153.71/153.53 [3474]E(f327(f327(f3(a834),f327(f327(f84(a834),x34741),x34742)),f327(f327(f84(a834),x34741),x34743)),f327(f327(f3(a834),x34742),x34743)) % 153.71/153.53 [3481]E(f327(f327(f122(x34811),f327(f151(x34811),x34812)),f327(f327(f136(x34811),x34813),f112(x34811))),f327(f151(x34811),f327(f327(f136(x34811),x34813),x34812))) % 153.71/153.53 [3483]E(f327(f327(f84(a834),f327(f177(f835(x34831)),x34832)),f327(f177(f835(x34831)),x34833)),f327(f177(f835(x34831)),f327(f327(f122(x34831),x34832),x34833))) % 153.71/153.53 [3492]E(f327(f327(f100(f841(x34921,a831)),f327(f154(x34921),x34922)),f327(f154(x34921),x34923)),f327(f154(x34921),f327(f327(f122(x34921),x34922),x34923))) % 153.71/153.53 [3493]E(f53(a834,f327(f327(f85(a834),x34931),x34932),f327(f327(f85(a834),x34931),x34933)),f327(f327(f85(a834),x34931),f53(a834,x34932,x34933))) % 153.71/153.53 [3506]E(f327(f327(f155(x35061),f327(f327(f3(a834),x35062),f82(a834))),f327(f153(x35061),x35063)),f327(f153(x35061),f327(f327(f155(x35061),x35062),x35063))) % 153.71/153.53 [3511]E(f327(f327(f101(f841(x35111,a831)),x35112),f327(f83(f841(x35111,a831)),x35113)),f327(f327(f3(f841(x35111,a831)),x35112),x35113)) % 153.71/153.53 [3512]E(f327(f327(f3(f841(x35121,a831)),x35122),f327(f83(f841(x35121,a831)),x35123)),f327(f327(f101(f841(x35121,a831)),x35122),x35123)) % 153.71/153.53 [3537]E(f327(f327(f243(x35371,x35372),x35373),f327(f18(f841(x35372,a831),x35371),f176(f841(x35372,a831)))),f176(f841(f840(x35371,x35372),a831))) % 153.71/153.53 [3539]E(f327(f327(f84(a834),f327(f327(f85(a834),x35391),x35392)),f327(f327(f85(a834),x35391),x35393)),f327(f327(f85(a834),x35391),f327(f327(f84(a834),x35392),x35393))) % 153.71/153.53 [3540]E(f327(f327(f3(a834),f327(f327(f85(a834),x35401),x35402)),f327(f327(f85(a834),x35401),x35403)),f327(f327(f85(a834),x35401),f327(f327(f3(a834),x35402),x35403))) % 153.71/153.53 [3541]E(f327(f327(f84(a1),f327(f327(f85(a1),x35411),x35412)),f327(f327(f85(a1),x35411),x35413)),f327(f327(f85(a1),x35411),f327(f327(f84(a1),x35412),x35413))) % 153.71/153.53 [3542]E(f327(f327(f3(a1),f327(f327(f85(a1),x35421),x35422)),f327(f327(f85(a1),x35421),x35423)),f327(f327(f85(a1),x35421),f327(f327(f3(a1),x35422),x35423))) % 153.71/153.53 [3543]E(f327(f327(f85(a1),f327(f327(f237(a1),x35431),x35432)),f327(f327(f237(a1),x35431),x35433)),f327(f327(f237(a1),x35431),f327(f327(f84(a834),x35432),x35433))) % 153.71/153.53 [3556]E(f327(f327(f47(x35561,f841(x35562,a831)),x35563),f327(f18(f841(x35562,a831),x35561),f176(f841(x35562,a831)))),f176(f841(x35562,a831))) % 153.71/153.53 [3558]E(f53(a834,f327(f327(f85(a834),x35581),x35582),f327(f327(f85(a834),x35583),x35582)),f327(f327(f85(a834),f53(a834,x35581,x35583)),x35582)) % 153.71/153.53 [3563]E(f53(a1,f327(f327(f85(a1),x35631),f53(a1,x35632,x35633)),x35633),f53(a1,f327(f327(f85(a1),x35631),x35632),x35633)) % 153.71/153.53 [3564]E(f53(a1,f327(f327(f3(a1),x35641),f53(a1,x35642,x35643)),x35643),f53(a1,f327(f327(f3(a1),x35641),x35642),x35643)) % 153.71/153.53 [3565]P134(f327(f327(f227(f841(x35651,a831)),x35652),f327(f327(f297(x35651),x35653),x35652))) % 153.71/153.53 [3587]E(f327(f298(f840(x35871,x35872),x35871,f235(x35871,x35872)),f327(f154(f840(x35871,x35872)),x35873)),f165(x35871,x35872,f162(x35871,x35872,x35873))) % 153.71/153.53 [3642]E(f327(f327(f48(f841(x36421,a831),f841(x36421,a831)),x36422),f327(f100(f841(x36421,a831)),x36423)),f327(f327(f100(f841(x36421,a831)),x36423),f46(f841(x36421,a831),x36422))) % 153.71/153.53 [3643]E(f327(f327(f47(f841(x36431,a831),f841(x36431,a831)),x36432),f327(f101(f841(x36431,a831)),x36433)),f327(f327(f101(f841(x36431,a831)),x36433),f45(f841(x36431,a831),x36432))) % 153.71/153.53 [3653]E(f327(f154(x36531),f327(f327(f327(f169(f835(x36531),f835(x36531)),x36532),f150(x36531)),x36533)),f327(f154(x36531),x36533)) % 153.71/153.53 [3657]E(f327(f327(f155(x36571),f327(f177(f835(x36571)),f158(x36571,x36572,x36573))),x36573),f158(x36571,x36572,x36573)) % 153.71/153.53 [3658]E(f165(x36581,x36582,f327(f327(f10(x36582,f838(x36582),x36581),f222(x36582)),x36583)),f234(f841(x36581,a831))) % 153.71/153.53 [3662]E(f327(f177(f835(x36621)),f327(f327(f327(f169(f835(x36621),f835(x36621)),x36622),f150(x36621)),x36623)),f327(f177(f835(x36621)),x36623)) % 153.71/153.53 [3665]E(f327(f327(f246(x36651,x36652,x36652),f327(f18(f841(x36652,x36652),x36651),f7(x36652))),x36653),f327(f245(x36651,x36652),x36653)) % 153.71/153.53 [3672]E(f53(a1,f327(f327(f3(a1),f53(a1,x36721,x36722)),x36723),x36722),f53(a1,f327(f327(f3(a1),x36721),x36723),x36722)) % 153.71/153.53 [3673]E(f53(a1,f327(f327(f237(a1),f53(a1,x36731,x36732)),x36733),x36732),f53(a1,f327(f327(f237(a1),x36731),x36733),x36732)) % 153.71/153.53 [3676]E(f327(f327(f47(f841(f840(x36761,x36762),a831),f841(x36762,a831)),x36763),f254(x36761,x36762)),f327(f254(x36761,x36762),f45(f841(f840(x36761,x36762),a831),x36763))) % 153.71/153.53 [3677]E(f327(f327(f47(f841(f840(x36771,x36772),a831),f841(x36771,a831)),x36773),f256(x36771,x36772)),f327(f256(x36771,x36772),f45(f841(f840(x36771,x36772),a831),x36773))) % 153.71/153.53 [3703]E(f327(f77(x37031,x37031,x37031,x37032),f327(f327(f169(x37031,x37031),x37033),x37032)),f327(f327(f169(x37031,x37031),f327(a111,x37033)),x37032)) % 153.71/153.53 [3713]E(f224(f838(x37131),x37132,f179(x37131),f327(f327(f10(x37131,f838(x37131),x37132),f222(x37131)),x37133)),f327(f191(x37132,x37131),x37133)) % 153.71/153.53 [3720]E(f327(f327(f125(x37201),f327(f327(f3(a834),f327(f177(f835(x37201)),x37202)),x37203)),f327(f151(x37201),x37202)),f327(f151(x37201),f327(f327(f155(x37201),x37203),x37202))) % 153.71/153.53 [3721]E(f327(f327(f155(x37211),f327(f327(f3(a834),f327(f177(f835(x37211)),x37212)),x37213)),f327(f151(x37211),x37212)),f327(f151(x37211),f327(f327(f125(x37211),x37213),x37212))) % 153.71/153.53 [3724]E(f327(f327(f84(a834),f327(f148(a834),f327(f327(f138(x37241,a834),x37242),x37243))),f327(f177(f835(x37241)),x37243)),f139(x37241,x37242,x37243)) % 153.71/153.53 [3740]E(f327(f150(x37401),f327(f327(f327(f169(f835(x37401),f835(x37401)),x37402),f150(x37401)),x37403)),f327(f327(f327(f169(f835(x37401),f835(x37401)),f327(a111,x37402)),f150(x37401)),x37403)) % 153.71/153.53 [3752]P134(f327(f327(f227(a834),f327(f177(f835(x37521)),f327(f123(x37521,x37522),x37523))),f327(f177(f835(x37521)),x37523))) % 153.71/153.53 [3769]E(f327(f327(f100(f841(f841(x37691,a831),a831)),f327(f296(x37691),x37692)),f327(f298(f841(x37691,a831),f841(x37691,a831),f327(f297(x37691),x37693)),f327(f296(x37691),x37692))),f327(f296(x37691),f327(f327(f297(x37691),x37693),x37692))) % 153.71/153.53 [3800]P134(f327(f327(f227(a834),f327(f177(f835(x38001)),f158(x38001,x38002,x38003))),f327(f177(f835(x38001)),x38003))) % 153.71/153.53 [3807]E(f327(f256(x38071,x38072),f327(f251(f840(x38071,x38072)),f327(f246(x38071,x38072,a831),x38073))),f327(f251(x38071),f327(f327(f10(f841(x38072,a831),a831,x38071),f91(x38072)),x38073))) % 153.71/153.53 [3820]E(f327(f298(a834,a834,f327(f327(f9(a834,a834,a834),f84(a834)),x38201)),f290(a834,x38202,x38203)),f290(a834,f327(f327(f84(a834),x38202),x38201),f327(f327(f84(a834),x38203),x38201))) % 153.71/153.53 [3836]E(f327(f298(a834,a834,f327(f327(f9(a834,a834,a834),f84(a834)),x38361)),f327(f289(a834,x38362),x38363)),f327(f289(a834,f327(f327(f84(a834),x38362),x38361)),f327(f327(f84(a834),x38363),x38361))) % 153.71/153.53 [3855]E(f327(f327(f163(x38551,x38552),f327(f327(f138(f840(x38551,x38552),x38551),f235(x38551,x38552)),x38553)),f327(f327(f138(f840(x38551,x38552),x38552),f245(x38551,x38552)),x38553)),x38553) % 153.71/153.53 [3860]E(f327(f327(f84(a834),f327(f327(f85(a834),x38601),f53(a834,f327(f327(f44(a834),x38602),x38601),x38603))),f53(a834,x38602,x38601)),f53(a834,x38602,f327(f327(f85(a834),x38601),x38603))) % 153.71/153.53 [3871]P134(f327(f66(f838(x38711)),f327(f298(x38712,f838(x38711),f162(x38712,x38711,x38713)),f234(f841(x38712,a831))))) % 153.71/153.53 [3875]E(f327(f327(f122(x38751),x38752),f327(f128(f835(x38751),f835(x38751),f122(x38751),f112(x38751)),x38753)),f327(f128(f835(x38751),f835(x38751),f122(x38751),x38752),x38753)) % 153.71/153.53 [3895]P134(f327(f327(f329(f840(x38951,x38951)),f327(f327(f236(x38951,x38951),x38952),x38952)),f327(f327(f169(f840(x38951,x38951),a831),f2(a834)),x38953))) % 153.71/153.53 [3901]E(f327(f251(x39011),f327(f327(f10(f841(x39012,a831),a831,x39011),f91(x39012)),f327(f9(x39012,x39011,a831),x39013))),f327(f254(x39012,x39011),f327(f251(f840(x39012,x39011)),f327(f246(x39012,x39011,a831),x39013)))) % 153.71/153.53 [3920]E(f327(f327(f100(f841(x39201,a831)),f327(f327(f47(a834,f841(x39201,a831)),f290(a834,f82(a834),x39202)),x39203)),f327(x39203,f2(a834))),f327(f327(f47(a834,f841(x39201,a831)),f327(f288(a834),x39202)),x39203)) % 153.71/153.53 [3935]E(f327(f128(f835(x39351),f835(x39351),f122(x39351),f112(x39351)),f327(f327(f138(f835(x39351),f835(x39351)),f123(x39351,x39352)),x39353)),f327(f123(x39351,x39352),f327(f128(f835(x39351),f835(x39351),f122(x39351),f112(x39351)),x39353))) % 153.71/153.53 [3940]E(f327(f245(f835(x39401),f835(x39401)),f149(x39401,x39402,x39403)),f327(f123(x39401,f327(f77(a831,a831,x39401,a323),x39402)),x39403)) % 153.71/153.53 [3989]E(f327(f327(f84(a1),f327(f327(f84(a1),f327(f327(f85(a1),x39891),f327(f327(f44(a1),x39892),x39891))),f53(a1,x39892,x39891))),x39893),f327(f327(f84(a1),x39892),x39893)) % 153.71/153.53 [4023]E(f327(f327(f84(a1),f327(f327(f84(a1),f327(f327(f85(a1),f327(f327(f44(a1),x40231),x40232)),x40232)),f53(a1,x40231,x40232))),x40233),f327(f327(f84(a1),x40231),x40233)) % 153.71/153.53 [4053]E(f89(f840(x40531,x40532),f327(f246(x40531,x40532,a831),f327(f327(f10(f841(x40532,f840(x40531,x40532)),f841(x40532,a831),x40531),f327(f10(f840(x40531,x40532),a831,x40532),x40533)),f236(x40531,x40532)))),f89(f840(x40531,x40532),x40533)) % 153.71/153.53 [4054]E(f94(f840(x40541,x40542),f327(f246(x40541,x40542,a831),f327(f327(f10(f841(x40542,f840(x40541,x40542)),f841(x40542,a831),x40541),f327(f10(f840(x40541,x40542),a831,x40542),x40543)),f236(x40541,x40542)))),f94(f840(x40541,x40542),x40543)) % 153.71/153.53 [4086]P134(f327(f327(f227(f841(x40861,a831)),f45(f841(x40861,a831),f327(f327(f101(f841(f841(x40861,a831),a831)),x40862),x40863))),f327(f327(f101(f841(x40861,a831)),f45(f841(x40861,a831),x40862)),f45(f841(x40861,a831),x40863)))) % 153.71/153.53 [4087]E(f327(f151(x40871),f327(f327(f327(f169(f835(x40871),f835(x40871)),f327(f327(f3(a834),f327(f177(f835(x40871)),x40872)),f53(a834,x40873,f327(f177(f835(x40871)),x40872)))),f150(x40871)),x40872)),f327(f327(f327(f169(f835(x40871),f835(x40871)),x40873),f150(x40871)),f327(f151(x40871),x40872))) % 153.71/153.53 [4099]E(f327(f251(x40991),f327(f327(f10(a831,a831,x40991),a323),f327(f327(f9(x40991,f838(x40992),a831),f327(f327(f10(f838(x40992),f841(f838(x40992),a831),x40991),a324),x40993)),f179(x40992)))),f165(x40991,x40992,x40993)) % 153.71/153.53 [4123]P134(f327(f327(f227(a834),f327(f177(f835(x41231)),f327(f327(f125(x41231),f327(f177(f835(x41231)),f158(x41231,x41232,x41233))),x41233))),f327(f177(f835(x41231)),x41233))) % 153.71/153.53 [4163]E(f327(f251(x41631),f327(f327(f10(f841(x41632,a831),a831,x41631),f91(x41632)),f327(f327(f10(f838(x41631),f841(x41632,a831),x41631),f327(f9(x41632,f838(x41631),a831),f327(f327(f10(f838(x41631),f841(f838(x41631),a831),x41632),a324),x41633))),f222(x41631)))),f167(x41632,x41631,x41633)) % 153.71/153.53 [4411]~P134(f327(f67(x44111,x44112,f176(f841(x44111,a831))),x44113)) % 153.71/153.53 [3429]E(f327(f177(f835(x34291)),f327(f327(f155(x34291),x34292),x34293)),f327(f327(f231(a834),f327(f177(f835(x34291)),x34293)),x34292)) % 153.71/153.53 [3430]E(f327(f177(f835(x34301)),f327(f327(f125(x34301),x34302),x34303)),f327(f327(f3(a834),f327(f177(f835(x34301)),x34303)),x34302)) % 153.71/153.53 [3466]E(f327(f327(f44(a834),f327(f327(f44(a834),x34661),x34662)),x34663),f327(f327(f44(a834),x34661),f327(f327(f85(a834),x34662),x34663))) % 153.71/153.53 [3467]E(f327(f327(f84(a834),f327(f327(f84(a834),x34671),x34672)),x34673),f327(f327(f84(a834),x34671),f327(f327(f84(a834),x34672),x34673))) % 153.71/153.53 [3468]E(f327(f327(f84(a1),f327(f327(f84(a1),x34681),x34682)),x34683),f327(f327(f84(a1),x34681),f327(f327(f84(a1),x34682),x34683))) % 153.71/153.53 [3469]E(f327(f327(f85(a834),f327(f327(f85(a834),x34691),x34692)),x34693),f327(f327(f85(a834),x34691),f327(f327(f85(a834),x34692),x34693))) % 153.71/153.53 [3470]E(f327(f327(f85(a1),f327(f327(f85(a1),x34701),x34702)),x34703),f327(f327(f85(a1),x34701),f327(f327(f85(a1),x34702),x34703))) % 153.71/153.53 [3471]E(f327(f327(f3(a834),f327(f327(f3(a834),x34711),x34712)),x34713),f327(f327(f3(a834),x34711),f327(f327(f84(a834),x34712),x34713))) % 153.71/153.53 [3472]E(f327(f327(f237(a1),f327(f327(f237(a1),x34721),x34722)),x34723),f327(f327(f237(a1),x34721),f327(f327(f85(a834),x34722),x34723))) % 153.71/153.53 [3491]E(f145(x34911,f327(f327(f136(f841(x34911,a831)),x34912),x34913)),f157(x34911,x34912,f145(x34911,x34913))) % 153.71/153.53 [3538]E(f327(f327(f3(a834),f327(f327(f3(a834),x35381),x35382)),x35383),f327(f327(f3(a834),f327(f327(f3(a834),x35381),x35383)),x35382)) % 153.71/153.53 [3546]E(f327(f327(f101(f841(x35461,a831)),x35462),f327(f327(f3(f841(x35461,a831)),x35463),x35462)),f176(f841(x35461,a831))) % 153.71/153.53 [3589]E(f46(f841(x35891,a831),f327(f327(f297(f841(x35891,a831)),x35892),x35893)),f327(f327(f101(f841(x35891,a831)),x35892),f46(f841(x35891,a831),x35893))) % 153.71/153.53 [3590]E(f45(f841(x35901,a831),f327(f327(f297(f841(x35901,a831)),x35902),x35903)),f327(f327(f100(f841(x35901,a831)),x35902),f45(f841(x35901,a831),x35903))) % 153.71/153.53 [3592]E(f327(f327(f84(a834),f327(f327(f85(a834),x35921),x35922)),f327(f327(f85(a834),x35923),x35922)),f327(f327(f85(a834),f327(f327(f84(a834),x35921),x35923)),x35922)) % 153.71/153.53 [3593]E(f327(f327(f3(a834),f327(f327(f85(a834),x35931),x35932)),f327(f327(f85(a834),x35933),x35932)),f327(f327(f85(a834),f327(f327(f3(a834),x35931),x35933)),x35932)) % 153.71/153.53 [3594]E(f327(f327(f84(a1),f327(f327(f85(a1),x35941),x35942)),f327(f327(f85(a1),x35943),x35942)),f327(f327(f85(a1),f327(f327(f84(a1),x35941),x35943)),x35942)) % 153.71/153.53 [3596]E(f327(f327(f3(a1),f327(f327(f85(a1),x35961),x35962)),f327(f327(f85(a1),x35963),x35962)),f327(f327(f85(a1),f327(f327(f3(a1),x35961),x35963)),x35962)) % 153.71/153.53 [3597]E(f327(f327(f231(a834),f327(f327(f3(a834),x35971),x35972)),f327(f327(f3(a834),x35973),x35972)),f327(f327(f3(a834),f327(f327(f231(a834),x35971),x35973)),x35972)) % 153.71/153.53 [3619]E(f327(f327(f100(f841(x36191,a831)),x36192),f327(f327(f3(f841(x36191,a831)),x36193),x36192)),f327(f327(f100(f841(x36191,a831)),x36192),x36193)) % 153.71/153.53 [3620]E(f327(f327(f100(f841(x36201,a831)),x36202),f327(f327(f100(f841(x36201,a831)),x36202),x36203)),f327(f327(f100(f841(x36201,a831)),x36202),x36203)) % 153.71/153.53 [3621]E(f327(f327(f101(f841(x36211,a831)),x36212),f327(f327(f101(f841(x36211,a831)),x36212),x36213)),f327(f327(f101(f841(x36211,a831)),x36212),x36213)) % 153.71/153.53 [3633]E(f327(f327(f276(x36331,x36332,x36332),x36333),f295(x36332,f176(f841(f840(x36332,x36332),a831)))),x36333) % 153.71/153.53 [3638]E(f327(f327(f100(f841(x36381,a831)),f327(f327(f297(x36381),x36382),f176(f841(x36381,a831)))),x36383),f327(f327(f297(x36381),x36382),x36383)) % 153.71/153.53 [3656]E(f327(f327(f3(a834),f327(f327(f3(a834),f327(a111,x36561)),x36562)),f327(a111,x36563)),f327(f327(f3(a834),f327(f327(f3(a834),x36561),x36562)),x36563)) % 153.71/153.53 [3685]E(f327(f327(f101(f841(f841(x36851,a831),a831)),f327(f296(x36851),x36852)),f327(f296(x36851),x36853)),f327(f296(x36851),f327(f327(f101(f841(x36851,a831)),x36852),x36853))) % 153.71/153.53 [3688]E(f327(f327(f100(f841(x36881,a831)),f327(f83(f841(x36881,a831)),x36882)),x36883),f327(f83(f841(x36881,a831)),f327(f327(f3(f841(x36881,a831)),x36882),x36883))) % 153.71/153.53 [3699]E(f327(f327(f297(x36991),x36992),f327(f327(f3(f841(x36991,a831)),x36993),f327(f327(f297(x36991),x36992),f176(f841(x36991,a831))))),f327(f327(f297(x36991),x36992),x36993)) % 153.71/153.53 [3710]P134(f327(f327(f227(f841(x37101,a831)),x37102),f327(f327(f100(f841(x37101,a831)),x37103),x37102))) % 153.71/153.53 [3711]P134(f327(f327(f227(f841(x37111,a831)),x37112),f327(f327(f100(f841(x37111,a831)),x37112),x37113))) % 153.71/153.53 [3714]E(f327(f327(f101(f841(x37141,a831)),f327(f83(f841(x37141,a831)),x37142)),f327(f83(f841(x37141,a831)),x37143)),f327(f83(f841(x37141,a831)),f327(f327(f100(f841(x37141,a831)),x37142),x37143))) % 153.71/153.53 [3715]E(f327(f327(f100(f841(x37151,a831)),f327(f83(f841(x37151,a831)),x37152)),f327(f83(f841(x37151,a831)),x37153)),f327(f83(f841(x37151,a831)),f327(f327(f101(f841(x37151,a831)),x37152),x37153))) % 153.71/153.53 [3728]P134(f327(f327(f227(f841(x37281,a831)),f327(f154(x37281),x37282)),f327(f154(x37281),f327(f327(f136(x37281),x37283),x37282)))) % 153.71/153.53 [3737]E(f327(f327(f100(f841(x37371,a831)),f327(f327(f3(f841(x37371,a831)),x37372),x37373)),f327(f327(f101(f841(x37371,a831)),x37372),x37373)),x37372) % 153.71/153.53 [3786]E(f327(f327(f8(x37861,a1),f327(f327(f10(a834,a1,x37861),f99(a1)),x37862)),x37863),f327(f99(a1),f327(f327(f8(x37861,a834),x37862),x37863))) % 153.71/153.53 [3787]E(f327(f327(f11(x37871,a1),f327(f327(f10(a834,a1,x37871),f99(a1)),x37872)),x37873),f327(f99(a1),f327(f327(f11(x37871,a834),x37872),x37873))) % 153.71/153.53 [3839]E(f327(f327(f122(x38391),f158(x38391,x38392,x38393)),f327(f327(f125(x38391),f327(f177(f835(x38391)),f158(x38391,x38392,x38393))),x38393)),x38393) % 153.71/153.53 [3844]E(f327(f83(f841(f840(x38441,x38442),a831)),f327(f327(f243(x38441,x38442),x38443),f327(f18(f841(x38442,a831),x38441),f234(f841(x38442,a831))))),f327(f327(f243(x38441,x38442),f327(f83(f841(x38441,a831)),x38443)),f327(f18(f841(x38442,a831),x38441),f234(f841(x38442,a831))))) % 153.71/153.53 [3845]E(f327(f83(f841(f840(x38451,x38452),a831)),f327(f327(f243(x38451,x38452),f234(f841(x38451,a831))),f327(f18(f841(x38452,a831),x38451),x38453))),f327(f327(f243(x38451,x38452),f234(f841(x38451,a831))),f327(f18(f841(x38452,a831),x38451),f327(f83(f841(x38452,a831)),x38453)))) % 153.71/153.53 [3896]E(f327(f327(f47(f841(x38961,a831),f841(x38961,a831)),x38962),f327(f327(f9(f841(x38961,a831),f841(x38961,a831),f841(x38961,a831)),f101(f841(x38961,a831))),x38963)),f327(f327(f101(f841(x38961,a831)),f45(f841(x38961,a831),x38962)),x38963)) % 153.71/153.53 [3903]E(f327(f128(f835(x39031),f835(x39031),f122(x39031),f112(x39031)),f327(f327(f136(f835(x39031)),x39032),x39033)),f327(f327(f122(x39031),x39032),f327(f128(f835(x39031),f835(x39031),f122(x39031),f112(x39031)),x39033))) % 153.71/153.53 [3926]E(f327(f327(f297(f841(x39261,a831)),f327(f272(x39261,x39261,x39262),f327(f327(f297(x39261),x39263),f176(f841(x39261,a831))))),f176(f841(f841(x39261,a831),a831))),f327(f327(f62(x39261),f327(f327(f297(x39261),x39263),f176(f841(x39261,a831)))),x39262)) % 153.71/153.53 [3936]E(f327(f327(f84(a834),f327(f327(f85(a834),x39361),f327(f327(f44(a834),x39362),x39363))),f327(f327(f44(a834),f327(f327(f85(a834),x39361),f53(a834,x39362,x39363))),x39363)),f327(f327(f44(a834),f327(f327(f85(a834),x39361),x39362)),x39363)) % 153.71/153.53 [3937]E(f327(f327(f84(a1),f327(f327(f85(a1),x39371),f327(f327(f44(a1),x39372),x39373))),f327(f327(f44(a1),f327(f327(f85(a1),x39371),f53(a1,x39372,x39373))),x39373)),f327(f327(f44(a1),f327(f327(f85(a1),x39371),x39372)),x39373)) % 153.71/153.53 [4021]E(f327(f327(f122(x40211),f327(f128(f835(x40211),f835(x40211),f122(x40211),f112(x40211)),x40212)),f327(f128(f835(x40211),f835(x40211),f122(x40211),f112(x40211)),x40213)),f327(f128(f835(x40211),f835(x40211),f122(x40211),f112(x40211)),f327(f327(f122(f835(x40211)),x40212),x40213))) % 153.71/153.53 [4024]E(f327(f327(f236(f835(x40241),f835(x40241)),f327(f123(x40241,x40242),x40243)),f327(f123(x40241,f327(f77(a831,a831,x40241,a323),x40242)),x40243)),f149(x40241,x40242,x40243)) % 153.71/153.53 [4027]E(f327(f327(f84(a834),f327(f327(f84(a834),f327(f327(f44(a834),x40271),x40272)),f327(f327(f44(a834),x40273),x40272))),f327(f327(f44(a834),f327(f327(f84(a834),f53(a834,x40271,x40272)),f53(a834,x40273,x40272))),x40272)),f327(f327(f44(a834),f327(f327(f84(a834),x40271),x40273)),x40272)) % 153.71/153.53 [4028]E(f327(f327(f84(a1),f327(f327(f84(a1),f327(f327(f44(a1),x40281),x40282)),f327(f327(f44(a1),x40283),x40282))),f327(f327(f44(a1),f327(f327(f84(a1),f53(a1,x40281,x40282)),f53(a1,x40283,x40282))),x40282)),f327(f327(f44(a1),f327(f327(f84(a1),x40281),x40283)),x40282)) % 153.71/153.53 [4101]E(f327(f251(x41011),f327(f327(f20(x41011,a831,a831),f327(f327(f10(a831,f841(a831,a831),x41011),a326),f327(f327(f9(x41011,x41011,a831),a324),x41012))),f327(f327(f9(x41011,f841(x41011,a831),a831),f329(x41011)),x41013))),f327(f327(f297(x41011),x41012),x41013)) % 153.71/153.53 [4124]E(f327(f251(x41241),f327(f327(f20(x41241,a831,a831),f327(f327(f10(a831,f841(a831,a831),x41241),a326),f327(f327(f9(x41241,f841(x41241,a831),a831),f329(x41241)),x41242))),f327(f327(f9(x41241,f841(x41241,a831),a831),f329(x41241)),x41243))),f327(f327(f100(f841(x41241,a831)),x41242),x41243)) % 153.71/153.53 [4125]E(f327(f251(x41251),f327(f327(f20(x41251,a831,a831),f327(f327(f10(a831,f841(a831,a831),x41251),a325),f327(f327(f9(x41251,f841(x41251,a831),a831),f329(x41251)),x41252))),f327(f327(f9(x41251,f841(x41251,a831),a831),f329(x41251)),x41253))),f327(f327(f101(f841(x41251,a831)),x41252),x41253)) % 153.71/153.53 [4214]E(f327(f327(f47(x42141,f841(f841(x42141,a831),a831)),x42142),f327(f327(f9(x42141,f841(f841(x42141,a831),a831),f841(f841(x42141,a831),a831)),f327(f327(f10(f841(x42141,a831),f841(f841(f841(x42141,a831),a831),f841(f841(x42141,a831),a831)),x42141),f297(f841(x42141,a831))),f327(f327(f10(f841(x42141,a831),f841(x42141,a831),x42141),f272(x42141,x42141,x42143)),f327(f327(f9(x42141,f841(x42141,a831),f841(x42141,a831)),f297(x42141)),f176(f841(x42141,a831)))))),f176(f841(f841(x42141,a831),a831)))),f327(f327(f62(x42141),x42142),x42143)) % 153.71/153.53 [4216]E(f327(f327(f192(x42161),f327(f327(f85(a1),f327(f327(f77(f840(a1,a1),a1,x42161,f235(a1,a1)),f202(x42161)),x42162)),f327(f327(f77(f840(a1,a1),a1,x42161,f235(a1,a1)),f202(x42161)),x42163))),f327(f327(f85(a1),f327(f327(f77(f840(a1,a1),a1,x42161,f245(a1,a1)),f202(x42161)),x42162)),f327(f327(f77(f840(a1,a1),a1,x42161,f245(a1,a1)),f202(x42161)),x42163))),f217(x42161,x42162,x42163)) % 153.71/153.53 [3610]E(f53(a834,f327(f327(f84(a834),f327(f327(f85(a834),x36101),x36102)),x36103),x36102),f53(a834,x36103,x36102)) % 153.71/153.53 [3655]E(f126(a834,f327(f289(a834,f327(f327(f84(a834),x36551),x36552)),x36553)),f327(f327(f125(a834),x36552),f126(a834,f327(f289(a834,x36551),x36553)))) % 153.71/153.53 [3698]E(f327(f327(f84(a1),f327(f99(a1),x36981)),f327(f327(f84(a1),f327(f99(a1),x36982)),x36983)),f327(f327(f84(a1),f327(f99(a1),f327(f327(f84(a834),x36981),x36982))),x36983)) % 153.71/153.53 [3706]E(f327(f327(f3(f841(x37061,a831)),f327(f327(f3(f841(x37061,a831)),x37062),x37063)),x37063),f327(f327(f3(f841(x37061,a831)),x37062),x37063)) % 153.71/153.53 [3707]E(f327(f327(f100(f841(x37071,a831)),f327(f327(f3(f841(x37071,a831)),x37072),x37073)),x37073),f327(f327(f100(f841(x37071,a831)),x37072),x37073)) % 153.71/153.53 [3729]E(f327(f327(f276(x37291,x37291,x37292),f295(x37291,f176(f841(f840(x37291,x37291),a831)))),x37293),x37293) % 153.71/153.53 [3734]E(f327(f327(f100(f841(x37341,a831)),f327(f271(x37341),x37342)),f327(f271(x37341),x37343)),f327(f271(x37341),f327(f327(f100(f841(f840(x37341,x37341),a831)),x37342),x37343))) % 153.71/153.53 [3743]E(f258(x37431,f327(f327(f136(f840(a98,x37431)),f327(f327(f236(a98,x37431),f2(a98)),x37432)),x37433)),f258(x37431,x37433)) % 153.71/153.53 [3746]E(f327(f327(f101(f841(x37461,a831)),f46(f841(x37461,a831),x37462)),f46(f841(x37461,a831),x37463)),f46(f841(x37461,a831),f327(f327(f100(f841(f841(x37461,a831),a831)),x37462),x37463))) % 153.71/153.53 [3747]E(f327(f327(f100(f841(x37471,a831)),f45(f841(x37471,a831),x37472)),f45(f841(x37471,a831),x37473)),f45(f841(x37471,a831),f327(f327(f100(f841(f841(x37471,a831),a831)),x37472),x37473))) % 153.71/153.53 [3781]E(f327(f327(f276(x37811,x37811,x37811),f327(f327(f169(f840(x37811,x37811),a831),x37812),x37813)),x37813),f327(f327(f169(f840(x37811,x37811),a831),f327(a111,x37812)),x37813)) % 153.71/153.53 [3829]P134(f327(f327(f227(f841(x38291,a831)),f327(f327(f3(f841(x38291,a831)),x38292),x38293)),x38292)) % 153.71/153.53 [3830]P134(f327(f327(f227(f841(x38301,a831)),f327(f327(f101(f841(x38301,a831)),x38302),x38303)),x38303)) % 153.71/153.53 [3831]P134(f327(f327(f227(f841(x38311,a831)),f327(f327(f101(f841(x38311,a831)),x38312),x38313)),x38312)) % 153.71/153.53 [3857]E(f295(x38571,f327(f327(f100(f841(f840(x38571,x38571),a831)),f295(x38571,x38572)),f295(x38571,x38573))),f295(x38571,f327(f327(f100(f841(f840(x38571,x38571),a831)),x38572),x38573))) % 153.71/153.53 [3861]E(f45(f841(x38611,a831),f327(f327(f297(f841(x38611,a831)),x38612),f327(f327(f297(f841(x38611,a831)),x38613),f176(f841(f841(x38611,a831),a831))))),f327(f327(f100(f841(x38611,a831)),x38612),x38613)) % 153.71/153.53 [3862]E(f46(f841(x38621,a831),f327(f327(f297(f841(x38621,a831)),x38622),f327(f327(f297(f841(x38621,a831)),x38623),f176(f841(f841(x38621,a831),a831))))),f327(f327(f101(f841(x38621,a831)),x38622),x38623)) % 153.71/153.53 [3868]E(f327(f327(f276(x38681,x38681,x38681),f327(f327(f169(f840(x38681,x38681),a831),x38682),x38683)),x38683),f327(f327(f276(x38681,x38681,x38681),x38683),f327(f327(f169(f840(x38681,x38681),a831),x38682),x38683))) % 153.71/153.53 [3941]E(f327(f327(f100(f841(x39411,a831)),f327(f251(x39411),f327(f327(f9(x39411,x39411,a831),a324),x39412))),x39413),f327(f327(f297(x39411),x39412),x39413)) % 153.71/153.53 [3943]E(f327(a104,f327(f327(f8(x39431,a1),f327(f327(f10(a834,a1,x39431),f99(a1)),x39432)),x39433)),f327(f327(f8(x39431,a834),x39432),x39433)) % 153.71/153.53 [3944]E(f327(a104,f327(f327(f11(x39441,a1),f327(f327(f10(a834,a1,x39441),f99(a1)),x39442)),x39443)),f327(f327(f11(x39441,a834),x39442),x39443)) % 153.71/153.53 [4018]E(f327(f140(f835(x40181),x40181,f327(f153(x40181),x40182),f327(f18(f841(f835(x40181),f835(x40181)),x40181),f327(f327(f9(f835(x40181),f835(x40181),f835(x40181)),f122(x40181)),x40182))),x40183),f327(f153(x40181),f327(f327(f122(x40181),x40183),x40182))) % 153.71/153.53 [4049]P134(f327(f327(f227(f841(f841(x40491,a831),a831)),f327(f327(f100(f841(f841(x40491,a831),a831)),f327(f296(x40491),x40492)),f327(f296(x40491),x40493))),f327(f296(x40491),f327(f327(f100(f841(x40491,a831)),x40492),x40493)))) % 153.71/153.53 [4143]E(f327(f251(x41431),f327(f327(f20(x41431,a831,a831),f327(f327(f10(a831,f841(a831,a831),x41431),a325),f327(f327(f9(x41431,f841(x41431,a831),a831),f329(x41431)),x41432))),f327(f327(f10(a831,a831,x41431),a323),f327(f327(f9(x41431,f841(x41431,a831),a831),f329(x41431)),x41433)))),f327(f327(f3(f841(x41431,a831)),x41432),x41433)) % 153.71/153.53 [4164]E(f327(f43(a834),f327(f251(a834),f327(f327(f20(a834,a831,a831),f327(f327(f10(a831,f841(a831,a831),a834),a325),f327(f327(f9(a834,a834,a831),f228(a834)),f327(f177(f835(x41641)),x41642)))),f327(f327(f10(x41641,a831,a834),x41643),f327(f146(x41641),x41642))))),f327(f177(f835(x41641)),f327(f123(x41641,x41643),x41642))) % 153.71/153.53 [4166]E(f327(f177(f835(x41661)),f156(x41661,x41662,x41663)),f327(f43(a834),f327(f251(a834),f327(f327(f20(a834,a831,a831),f327(f327(f10(a831,f841(a831,a831),a834),a325),f327(f327(f9(a834,a834,a831),f228(a834)),f327(f177(f835(x41661)),x41662)))),f327(f327(f9(a834,f841(a834,a831),a831),f329(a834)),x41663))))) % 153.71/153.53 [4261]E(f327(f327(f101(f841(f840(f835(x42611),f835(x42611)),a831)),f327(f298(f840(f840(x42611,f835(x42611)),f840(x42611,f835(x42611))),f840(f835(x42611),f835(x42611)),f247(f840(x42611,f835(x42611)),f835(x42611),f840(x42611,f835(x42611)),f835(x42611),f327(f246(x42611,f835(x42611),f835(x42611)),f136(x42611)),f327(f246(x42611,f835(x42611),f835(x42611)),f136(x42611)))),f321(x42611,f835(x42611),x42612,f327(f129(x42611,x42612),x42613)))),f327(f251(f840(f835(x42611),f835(x42611))),f327(f246(f835(x42611),f835(x42611),a831),f327(f327(f9(f835(x42611),f841(f835(x42611),a831),f841(f835(x42611),a831)),f327(f327(f10(f841(a831,a831),f841(f841(f835(x42611),a831),f841(f835(x42611),a831)),f835(x42611)),f10(a831,a831,f835(x42611))),f327(f327(f10(a831,f841(a831,a831),f835(x42611)),a325),f327(f327(f9(f835(x42611),a834,a831),f327(f327(f10(a834,f841(a834,a831),f835(x42611)),a324),f177(f835(x42611)))),f327(a111,x42613))))),f327(f327(f9(f835(x42611),a834,a831),f327(f327(f10(a834,f841(a834,a831),f835(x42611)),a324),f177(f835(x42611)))),f327(a111,x42613)))))),f327(f129(x42611,x42612),f327(a111,x42613))) % 153.71/153.53 [3748]E(f53(a834,f327(a111,f327(f327(f84(a834),f327(f327(f85(a834),x37481),x37482)),x37483)),x37482),f53(a834,f327(a111,x37483),x37482)) % 153.71/153.53 [4008]E(f327(f251(x40081),f327(f327(f20(x40081,a831,a831),f327(f327(f10(a831,f841(a831,a831),x40081),a325),x40082)),x40083)),f327(f327(f101(f841(x40081,a831)),f327(f251(x40081),x40082)),f327(f251(x40081),x40083))) % 153.71/153.53 [4009]E(f327(f251(x40091),f327(f327(f20(x40091,a831,a831),f327(f327(f10(a831,f841(a831,a831),x40091),a326),x40092)),x40093)),f327(f327(f100(f841(x40091,a831)),f327(f251(x40091),x40092)),f327(f251(x40091),x40093))) % 153.71/153.53 [4011]E(f327(f327(f122(x40111),f327(f327(f125(x40111),f53(a834,x40112,f327(f177(f835(x40111)),x40113))),x40113)),f327(f327(f155(x40111),f53(a834,x40112,f327(f177(f835(x40111)),x40113))),x40113)),f327(f327(f327(f169(f835(x40111),f835(x40111)),x40112),f150(x40111)),x40113)) % 153.71/153.53 [4016]E(f327(f251(x40161),f327(f327(f20(x40161,a831,a831),f327(f327(f10(a831,f841(a831,a831),x40161),a330),x40162)),x40163)),f327(f327(f100(f841(x40161,a831)),f327(f83(f841(x40161,a831)),f327(f251(x40161),x40162))),f327(f251(x40161),x40163))) % 153.71/153.53 [4030]E(f327(f327(f84(a834),f327(f177(f835(x40301)),f327(f123(x40301,x40302),x40303))),f327(f177(f835(x40301)),f327(f123(x40301,f327(f327(f10(a831,a831,x40301),a323),x40302)),x40303))),f327(f177(f835(x40301)),x40303)) % 153.71/153.53 [4057]P134(f327(f327(f227(f841(x40571,a831)),f327(f327(f100(f841(x40571,a831)),f46(f841(x40571,a831),x40572)),f46(f841(x40571,a831),x40573))),f46(f841(x40571,a831),f327(f327(f101(f841(f841(x40571,a831),a831)),x40572),x40573)))) % 153.71/153.53 [4073]E(f327(f154(x40731),f327(f123(x40731,f327(f327(f10(a831,a831,x40731),a323),f327(f327(f9(x40731,x40731,a831),a324),x40732))),x40733)),f327(f327(f3(f841(x40731,a831)),f327(f154(x40731),x40733)),f327(f327(f297(x40731),x40732),f176(f841(x40731,a831))))) % 153.71/153.53 [4082]P134(f327(f327(f227(f841(f840(x40821,x40821),a831)),f327(f327(f100(f841(f840(x40821,x40821),a831)),f295(x40821,x40822)),f295(x40821,x40823))),f295(x40821,f327(f327(f100(f841(f840(x40821,x40821),a831)),x40822),x40823)))) % 153.71/153.53 [4106]E(f327(f327(f85(a834),f327(a111,f327(a111,f2(a834)))),f327(f327(f8(a834,a834),f327(f327(f10(a834,a834,a834),f327(f84(a834),x41061)),f327(f327(f9(a834,a834,a834),f85(a834)),x41062))),f327(f252(a834),x41063))),f327(f327(f85(a834),x41063),f327(f327(f84(a834),x41061),f327(f327(f84(a834),x41061),f327(f327(f85(a834),f327(f327(f3(a834),x41063),f82(a834))),x41062))))) % 153.71/153.53 [4116]E(f327(f251(x41161),f327(f327(f20(x41161,a831,a831),f327(f327(f10(a831,f841(a831,a831),x41161),a325),f327(f327(f9(x41161,f841(x41161,a831),a831),f329(x41161)),f327(f154(x41161),x41162)))),x41163)),f327(f154(x41161),f327(f123(x41161,x41163),x41162))) % 153.71/153.53 [4260]E(f327(f251(x42601),f327(f327(f10(f841(a834,a831),a831,x42601),f91(a834)),f327(f327(f9(x42601,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),x42601),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),x42601),f327(f10(a831,f841(a831,a831),a834),a325)),f327(f327(f9(x42601,f841(a834,x42601),f841(a834,a831)),f327(f327(f10(f841(x42601,a831),f841(f841(a834,x42601),f841(a834,a831)),x42601),f10(x42601,a831,a834)),a324)),f327(f146(x42601),x42602))))),f327(f327(f20(a834,a831,a831),f327(f327(f10(a831,f841(a831,a831),a834),a325),f327(f327(f9(a834,a834,a831),f228(a834)),f327(f177(f835(x42601)),x42602)))),f327(f327(f9(a834,f841(a834,a831),a831),f329(a834)),x42603))))),f327(f154(x42601),f156(x42601,x42602,x42603))) % 153.71/153.53 [4154]E(f327(f251(x41541),f327(f327(f20(x41541,a831,a831),f327(f327(f10(a831,f841(a831,a831),x41541),a330),f327(f327(f10(a831,a831,x41541),a323),f327(f327(f9(x41541,x41541,a831),a324),x41542)))),x41543)),f327(f327(f297(x41541),x41542),f327(f251(x41541),x41543))) % 153.71/153.53 [4186]E(f327(f327(f138(f840(x41861,a834),x41861),f235(x41861,a834)),f327(f123(f840(x41861,a834),f327(f327(f9(f840(x41861,a834),f841(a834,a831),a831),f327(f327(f10(a834,f841(f841(a834,a831),a831),f840(x41861,a834)),f329(a834)),f245(x41861,a834))),x41862)),f327(f327(f163(x41861,a834),x41863),f126(a834,f327(f289(a834,f2(a834)),f327(f177(f835(x41861)),x41863)))))),f156(x41861,x41863,x41862)) % 153.71/153.53 [4215]E(f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(f327(f8(a834,a1),f327(f327(f10(a1,a1,a834),f327(f84(a1),x42151)),f327(f327(f9(a834,a1,a1),f327(f327(f10(a1,f841(a1,a1),a834),f85(a1)),f99(a1))),x42152))),f327(f252(a834),x42153))),f327(f327(f85(a1),f327(f99(a1),x42153)),f327(f327(f84(a1),x42151),f327(f327(f84(a1),x42151),f327(f327(f85(a1),f327(f99(a1),f327(f327(f3(a834),x42153),f82(a834)))),x42152))))) % 153.71/153.53 [4254]E(f327(f251(f840(x42541,x42542)),f327(f246(x42541,x42542,a831),f327(f327(f9(x42541,f841(f840(x42542,x42541),a831),f841(x42542,a831)),f327(f327(f10(f841(x42542,f841(f841(f840(x42542,x42541),a831),a831)),f841(f841(f840(x42542,x42541),a831),f841(x42542,a831)),x42541),f9(x42542,f841(f840(x42542,x42541),a831),a831)),f327(f327(f10(f841(x42542,f840(x42542,x42541)),f841(x42542,f841(f841(f840(x42542,x42541),a831),a831)),x42541),f327(f10(f840(x42542,x42541),f841(f841(f840(x42542,x42541),a831),a831),x42542),f329(f840(x42542,x42541)))),f327(f9(x42542,x42541,f840(x42542,x42541)),f236(x42542,x42541))))),x42543))),f327(f273(x42542,x42541),x42543)) % 153.71/153.53 [4286]E(f327(f251(f835(x42861)),f327(f327(f10(f841(x42861,a831),a831,f835(x42861)),f91(x42861)),f327(f327(f10(f841(x42861,f841(f835(x42861),a831)),f841(x42861,a831),f835(x42861)),f327(f10(f841(f835(x42861),a831),a831,x42861),f91(f835(x42861)))),f327(f327(f9(f835(x42861),f841(x42861,f841(f835(x42861),a831)),f841(x42861,f841(f835(x42861),a831))),f327(f327(f10(f841(x42861,f841(f841(f835(x42861),a831),f841(f835(x42861),a831))),f841(f841(x42861,f841(f835(x42861),a831)),f841(x42861,f841(f835(x42861),a831))),f835(x42861)),f20(x42861,f841(f835(x42861),a831),f841(f835(x42861),a831))),f327(f327(f10(f841(x42861,f841(f835(x42861),f841(a831,a831))),f841(x42861,f841(f841(f835(x42861),a831),f841(f835(x42861),a831))),f835(x42861)),f327(f10(f841(f835(x42861),f841(a831,a831)),f841(f841(f835(x42861),a831),f841(f835(x42861),a831)),x42861),f20(f835(x42861),a831,a831))),f327(f327(f10(f841(x42861,f841(f835(x42861),a831)),f841(x42861,f841(f835(x42861),f841(a831,a831))),f835(x42861)),f327(f10(f841(f835(x42861),a831),f841(f835(x42861),f841(a831,a831)),x42861),f327(f10(a831,f841(a831,a831),f835(x42861)),a325))),f327(f327(f9(f835(x42861),f841(x42861,f841(f835(x42861),f835(x42861))),f841(x42861,f841(f835(x42861),a831))),f327(f327(f10(f841(f841(f835(x42861),f835(x42861)),f841(f835(x42861),a831)),f841(f841(x42861,f841(f835(x42861),f835(x42861))),f841(x42861,f841(f835(x42861),a831))),f835(x42861)),f10(f841(f835(x42861),f835(x42861)),f841(f835(x42861),a831),x42861)),f327(f327(f10(f841(f835(x42861),a831),f841(f841(f835(x42861),f835(x42861)),f841(f835(x42861),a831)),f835(x42861)),f10(f835(x42861),a831,f835(x42861))),a324))),f136(x42861)))))),f327(f327(f9(x42861,f841(f835(x42861),a831),f841(f835(x42861),a831)),f327(f327(f10(f841(a831,a831),f841(f841(f835(x42861),a831),f841(f835(x42861),a831)),x42861),f10(a831,a831,f835(x42861))),f327(f327(f10(a831,f841(a831,a831),x42861),a325),f327(f327(f9(x42861,f841(x42861,a831),a831),f329(x42861)),x42862)))),f327(f327(f9(f835(x42861),f841(f835(x42861),a831),a831),f329(f835(x42861))),x42863)))))),f157(x42861,x42862,x42863)) % 153.71/153.53 [4271]E(f327(f327(f90(a1,f840(a1,a1)),f327(f327(f3(a1),x42711),x42712)),f327(f327(f9(a1,f840(a1,a1),f840(a1,a1)),f327(f327(f20(a1,f840(a1,a1),f841(f840(a1,a1),f840(a1,a1))),f327(f327(f10(a831,f841(f840(a1,a1),f841(f840(a1,a1),f840(a1,a1))),a1),f95(f840(a1,a1))),f327(f227(a1),f2(a1)))),f327(f236(a1,a1),f327(f327(f84(a1),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x42713)),f82(a1))))),f327(f327(f236(a1,a1),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x42713)),x42711))),f327(f51(x42712),f327(f327(f236(a1,a1),x42713),x42711))) % 153.71/153.53 [4322]~E(f35(x43221,x43222),f36(x43223,x43224)) % 153.71/153.53 [4325]~E(f28(x43251,x43252),f36(x43253,x43254)) % 153.71/153.53 [4326]~E(f28(x43261,x43262),f35(x43263,x43264)) % 153.71/153.53 [4344]~E(f26(x43441),f33(x43442,x43443,x43444)) % 153.71/153.53 [4345]~E(f26(x43451),f31(x43452,x43453,x43454)) % 153.71/153.53 [4346]~E(f26(x43461),f32(x43462,x43463,x43464)) % 153.71/153.53 [4347]~E(f33(x43471,x43472,x43473),f26(x43474)) % 153.71/153.53 [4348]~E(f31(x43481,x43482,x43483),f26(x43484)) % 153.71/153.53 [4349]~E(f32(x43491,x43492,x43493),f26(x43494)) % 153.71/153.53 [3305]E(f327(f327(f327(f76(x33051,x33052),x33053),x33054),f327(x33053,x33054)),x33053) % 153.71/153.53 [3370]E(f327(f327(f238(x33701,x33702,x33703),x33704),f2(a834)),x33702) % 153.71/153.53 [3407]E(f171(x34071,x34072,x34073,f327(a111,x34074)),f327(x34073,x34074)) % 153.71/153.53 [3447]E(f152(x34471,x34472,f152(x34471,x34473,x34474)),f152(x34471,x34473,f152(x34471,x34472,x34474))) % 153.71/153.53 [3532]P38(f28(x35321,x35322),x35323,x35324,f184(x35323,x35321,f327(x35322,x35323))) % 153.71/153.53 [3577]E(f327(f224(x35771,x35772,x35773,x35774),f179(x35772)),x35773) % 153.71/153.53 [3579]E(f327(f140(x35791,x35792,x35793,x35794),f112(x35792)),x35793) % 153.71/153.53 [3580]E(f327(f128(x35801,x35802,x35803,x35804),f112(x35802)),x35804) % 153.71/153.53 [3617]E(f327(f177(f839(x36171,x36172)),f210(x36171,x36172,x36173,x36174)),f2(a834)) % 153.71/153.53 [3640]E(f327(f246(x36401,x36402,x36403),f244(x36401,x36402,x36403,x36404)),x36404) % 153.71/153.53 [3695]E(f327(f224(f838(x36951),x36952,f179(x36951),f327(f18(f838(x36951),x36952),f179(x36951))),f327(x36953,x36954)),f179(x36951)) % 153.71/153.53 [3738]E(f327(f327(f100(f841(x37381,a831)),f165(x37381,x37382,x37383)),f165(x37381,x37382,x37384)),f165(x37381,x37382,f166(x37381,x37382,x37384,x37383))) % 153.71/153.53 [3767]E(f327(f327(f248(x37671,x37672,x37673,f840(x37672,x37673)),x37674),f236(x37672,x37673)),x37674) % 153.71/153.53 [3776]E(f225(x37761,x37762,x37763,x37764,f179(x37762)),x37763) % 153.71/153.53 [4064]P39(x40641,x40642,x40643,x40644,f176(f841(x40641,a831)),x40644) % 153.71/153.53 [4373]~E(f327(f308(x43731,x43732),x43733),f327(f299(x43732,x43731),x43734)) % 153.71/153.53 [3116]E(f327(f327(f18(x31161,x31162),x31163),x31164),x31163) % 153.71/153.53 [3227]E(f327(f327(f191(x32271,x32272),x32273),f327(f222(x32271),x32274)),f327(f222(x32272),f327(x32273,x32274))) % 153.71/153.53 [3399]E(f152(x33991,x33992,f327(f123(x33991,x33993),x33994)),f327(f123(x33991,x33993),f152(x33991,x33992,x33994))) % 153.71/153.53 [3431]E(f327(f327(f69(x34311,x34312,x34313),x34314),f176(f841(x34311,a831))),x34314) % 153.71/153.53 [3453]E(f327(f327(f146(x34531),f327(f327(f136(x34531),x34532),x34533)),f327(a111,x34534)),f327(f327(f146(x34531),x34533),x34534)) % 153.71/153.53 [3516]E(f327(f327(x35161,x35162),f327(f170(x35163,x35164,x35161),x35162)),f327(f170(x35163,x35164,x35161),f327(a111,x35162))) % 153.71/153.53 [3559]E(f244(x35591,x35592,x35593,f327(f246(x35591,x35592,x35593),x35594)),x35594) % 153.71/153.53 [3615]E(f327(f327(f143(x36151,f327(f327(f136(x36151),x36152),x36153)),f2(a834)),x36154),f327(f327(f136(x36151),x36154),x36153)) % 153.71/153.53 [3623]E(f327(f327(f47(f841(x36231,a831),f841(x36232,a831)),x36233),f298(x36231,x36232,x36234)),f327(f298(x36231,x36232,x36234),f45(f841(x36231,a831),x36233))) % 153.71/153.53 [3624]E(f327(f327(f47(f841(x36241,a831),f841(x36242,a831)),x36243),f300(x36242,x36241,x36244)),f327(f300(x36242,x36241,x36244),f45(f841(x36241,a831),x36243))) % 153.71/153.53 [3723]E(f165(x37231,x37232,f168(x37231,x37232,x37233,x37234)),f327(f327(f101(f841(x37231,a831)),f165(x37231,x37232,x37233)),x37234)) % 153.71/153.53 [3742]E(f327(f128(x37421,x37422,f327(f9(x37422,x37421,x37421),x37423),x37424),f327(f151(x37422),f112(x37422))),x37424) % 153.71/153.53 [3785]E(f80(x37851,x37852,x37853,x37854,f176(f841(x37851,a831))),x37853) % 153.71/153.53 [3832]E(f327(f327(f327(f327(f76(x38321,f838(x38322)),f327(f18(f838(x38322),x38321),f179(x38322))),x38323),f179(x38322)),x38324),f179(x38322)) % 153.71/153.53 [3982]E(f314(x39821,x39822,x39823,f327(f327(f10(f842(x39821,x39823),x39822,x39821),x39824),f299(x39821,x39823)),f327(f327(f10(f842(x39821,x39823),x39822,x39823),x39824),f308(x39823,x39821))),x39824) % 153.71/153.53 [3992]E(f327(f246(x39921,x39922,x39923),f327(f327(f10(f841(x39922,f840(x39921,x39922)),f841(x39922,x39923),x39921),f327(f10(f840(x39921,x39922),x39923,x39922),x39924)),f236(x39921,x39922))),x39924) % 153.71/153.53 [3303]E(f327(f245(x33031,x33032),f327(f327(f236(x33031,x33032),x33033),x33034)),x33034) % 153.71/153.53 [3304]E(f327(f235(x33041,x33042),f327(f327(f236(x33041,x33042),x33043),x33044)),x33043) % 153.71/153.53 [3343]E(f327(f177(f835(x33431)),f327(f327(f138(x33432,x33431),x33433),x33434)),f327(f177(f835(x33432)),x33434)) % 153.71/153.53 [3344]E(f327(f177(f835(x33441)),f327(f327(f143(x33441,x33442),x33443),x33444)),f327(f177(f835(x33441)),x33442)) % 153.71/153.53 [3365]E(f327(f327(f125(x33651),f327(a111,x33652)),f327(f327(f136(x33651),x33653),x33654)),f327(f327(f125(x33651),x33652),x33654)) % 153.71/153.53 [3433]E(f327(f327(f297(x34331),x34332),f327(f327(f297(x34331),x34333),x34334)),f327(f327(f297(x34331),x34333),f327(f327(f297(x34331),x34332),x34334))) % 153.71/153.53 [3436]E(f327(f327(f138(x34361,x34362),x34363),f113(x34361,x34364)),f113(x34362,f327(f327(f138(x34361,x34362),x34363),x34364))) % 153.71/153.53 [3451]E(f327(f151(x34511),f327(f327(f138(x34512,x34511),x34513),x34514)),f327(f327(f138(x34512,x34511),x34513),f327(f151(x34512),x34514))) % 153.71/153.53 [3452]E(f327(f327(f138(x34521,x34522),x34523),f327(f153(x34521),x34524)),f327(f153(x34522),f327(f327(f138(x34521,x34522),x34523),x34524))) % 153.71/153.53 [3461]E(f327(f327(f155(x34611),f327(a111,x34612)),f327(f327(f136(x34611),x34613),x34614)),f327(f327(f136(x34611),x34613),f327(f327(f155(x34611),x34612),x34614))) % 153.71/153.53 [3465]E(f327(f154(x34651),f327(f327(f138(x34652,x34651),x34653),x34654)),f327(f298(x34652,x34651,x34653),f327(f154(x34652),x34654))) % 153.71/153.53 [3515]E(f19(x35151,x35152,x35153,f327(a5,f327(a111,f327(a22,x35154)))),f327(x35153,x35154)) % 153.71/153.53 [3519]E(f327(f327(f122(x35191),f327(f123(x35191,x35192),x35193)),f327(f123(x35191,x35192),x35194)),f327(f123(x35191,x35192),f327(f327(f122(x35191),x35193),x35194))) % 153.71/153.53 [3534]E(f137(x35341,f327(f327(f138(x35342,x35341),x35343),f137(x35342,x35344))),f137(x35341,f327(f327(f138(x35342,x35341),x35343),x35344))) % 153.71/153.53 [3549]E(f327(f273(x35491,x35491),f327(f327(f275(x35492,x35491),x35493),x35494)),f327(f327(f275(x35492,x35491),f327(f273(x35492,x35492),x35493)),x35494)) % 153.71/153.53 [3560]E(f327(f327(f276(x35601,x35602,x35603),x35604),f176(f841(f840(x35602,x35603),a831))),f176(f841(f840(x35601,x35603),a831))) % 153.71/153.53 [3561]E(f327(f327(f155(x35611),f327(f327(f3(a834),x35612),x35613)),f327(f327(f125(x35611),x35613),x35614)),f327(f327(f125(x35611),x35613),f327(f327(f155(x35611),x35612),x35614))) % 153.71/153.53 [3581]E(f327(f327(f327(f268(x35811),x35812),x35813),x35814),f327(f236(f841(a98,f841(a831,f838(f836(x35811)))),f840(a98,a98)),f327(f50(x35811),x35812))) % 153.71/153.53 [3607]E(f46(f841(x36071,a831),f327(f298(x36072,f841(x36071,a831),x36073),x36074)),f327(f327(f48(x36072,f841(x36071,a831)),x36074),x36073)) % 153.71/153.53 [3608]E(f45(f841(x36081,a831),f327(f298(x36082,f841(x36081,a831),x36083),x36084)),f327(f327(f47(x36082,f841(x36081,a831)),x36084),x36083)) % 153.71/153.53 [3609]E(f327(f177(f835(f840(x36091,x36092))),f327(f327(f163(x36091,x36092),x36093),x36094)),f327(f327(f231(a834),f327(f177(f835(x36091)),x36093)),f327(f177(f835(x36092)),x36094))) % 153.71/153.53 [3611]E(f327(f300(x36111,x36112,x36113),f327(f83(f841(x36112,a831)),x36114)),f327(f83(f841(x36111,a831)),f327(f300(x36111,x36112,x36113),x36114))) % 153.71/153.53 [3641]E(f327(f168(x36411,x36412,x36413,f176(f841(x36411,a831))),x36414),f179(x36412)) % 153.71/153.53 [3661]E(f327(f300(x36611,x36612,x36613),f327(f251(x36612),x36614)),f327(f251(x36611),f327(f327(f10(x36612,a831,x36611),x36614),x36613))) % 153.71/153.53 [3679]E(f327(f327(f146(x36791),f327(f327(f122(x36791),x36792),f327(f327(f136(x36791),x36793),x36794))),f327(f177(f835(x36791)),x36792)),x36793) % 153.71/153.53 [3684]E(f327(f168(x36841,x36842,f327(f18(f838(x36842),x36841),f179(x36842)),x36843),x36844),f179(x36842)) % 153.71/153.53 [3704]E(f327(f298(x37041,x37042,x37043),f327(f300(x37041,x37042,x37043),x37044)),f327(f327(f101(f841(x37042,a831)),x37044),f327(f298(x37041,x37042,x37043),f234(f841(x37041,a831))))) % 153.71/153.53 [3722]P134(f327(f327(f329(x37221),f327(x37222,x37223)),f327(f298(x37224,x37221,x37222),f234(f841(x37224,a831))))) % 153.71/153.53 [3730]E(f21(x37301,x37302,x37303,f327(a5,f327(a111,f327(a22,x37304)))),f327(f327(x37303,x37304),f21(x37301,x37302,x37303,x37304))) % 153.71/153.53 [3745]E(f139(x37451,x37452,f327(f327(f136(x37451),x37453),x37454)),f327(f327(f84(a834),f327(f327(f84(a834),f327(x37452,x37453)),f139(x37451,x37452,x37454))),f327(a111,f2(a834)))) % 153.71/153.53 [3758]E(f171(f835(x37581),f327(f327(f136(x37581),x37582),x37583),f327(f327(f9(a834,f835(x37581),f835(x37581)),f125(x37581)),x37583),x37584),f327(f327(f125(x37581),x37584),f327(f327(f136(x37581),x37582),x37583))) % 153.71/153.53 [3759]P28(x37591,f840(x37592,x37591),f331(x37593,x37594,x37592,x37591),f327(f327(f47(x37592,f841(x37591,a831)),x37594),x37593)) % 153.71/153.53 [3768]E(f327(f327(f3(f841(x37681,a831)),f327(f327(f3(f841(x37681,a831)),x37682),x37683)),f327(f327(f297(x37681),x37684),f176(f841(x37681,a831)))),f327(f327(f3(f841(x37681,a831)),x37682),f327(f327(f297(x37681),x37684),x37683))) % 153.71/153.53 [3779]E(f327(f327(f169(f841(x37791,x37792),f841(x37791,x37792)),x37793),f77(x37792,x37792,x37791,x37794)),f77(x37792,x37792,x37791,f327(f327(f169(x37792,x37792),x37793),x37794))) % 153.71/153.53 [3856]E(f327(f327(f327(f169(f835(x38561),f835(x38561)),x38562),f150(x38561)),f327(f327(f327(f169(f835(x38561),f835(x38561)),x38563),f150(x38561)),x38564)),f327(f327(f327(f169(f835(x38561),f835(x38561)),f327(f327(f84(a834),x38562),x38563)),f150(x38561)),x38564)) % 153.71/153.53 [3905]E(f327(f327(f100(f841(f842(x39051,x39052),a831)),f327(f298(x39051,f842(x39051,x39052),f299(x39051,x39052)),x39053)),f327(f298(x39052,f842(x39051,x39052),f308(x39052,x39051)),x39054)),f309(x39051,x39052,x39053,x39054)) % 153.71/153.53 [3946]P134(f327(f327(f227(f841(x39461,a831)),f327(f154(x39461),f327(f327(f143(x39461,x39462),x39463),x39464))),f327(f327(f297(x39461),x39464),f327(f154(x39461),x39462)))) % 153.71/153.53 [3980]E(f327(f327(f47(f841(x39801,a831),f841(f840(x39801,x39802),a831)),x39803),f327(f327(f9(f841(x39801,a831),f841(x39801,f841(x39802,a831)),f841(f840(x39801,x39802),a831)),f243(x39801,x39802)),x39804)),f327(f327(f243(x39801,x39802),f45(f841(x39801,a831),x39803)),x39804)) % 153.71/153.53 [4017]E(f199(x40171,x40172,x40173,f327(f77(x40172,f841(a98,f841(a98,f841(f840(a98,a98),f841(a98,f836(x40172))))),x40171,f194(x40172)),x40174)),f200(x40171,x40172,x40174,x40173)) % 153.71/153.53 [4033]E(f196(x40331,x40332,x40333,f327(f77(x40332,f841(a98,f841(a98,f841(f840(a98,a98),f841(a98,f836(f838(x40332)))))),x40331,f195(x40332)),x40334)),f197(x40331,x40332,x40334,x40333)) % 153.71/153.53 [4038]P134(f327(f71(x40381,x40382,x40383,x40384,f176(f841(x40381,a831))),x40384)) % 153.71/153.53 [4085]E(f327(f327(f47(x40851,f841(x40852,a831)),x40853),f327(f327(f9(x40851,f841(x40852,a831),f841(x40852,a831)),f327(f327(f10(x40852,f841(f841(x40852,a831),f841(x40852,a831)),x40851),f297(x40852)),x40854)),f176(f841(x40852,a831)))),f327(f298(x40851,x40852,x40854),x40853)) % 153.71/153.53 [4091]P134(f327(f327(f227(f841(x40911,a831)),f327(f254(x40912,x40911),f327(f327(f101(f841(f840(x40912,x40911),a831)),x40913),x40914))),f327(f327(f101(f841(x40911,a831)),f327(f254(x40912,x40911),x40913)),f327(f254(x40912,x40911),x40914)))) % 153.71/153.53 [4092]P134(f327(f327(f227(f841(x40921,a831)),f327(f256(x40921,x40922),f327(f327(f101(f841(f840(x40921,x40922),a831)),x40923),x40924))),f327(f327(f101(f841(x40921,a831)),f327(f256(x40921,x40922),x40923)),f327(f256(x40921,x40922),x40924)))) % 153.71/153.53 [4152]P134(f327(f327(f227(f841(f840(x41521,x41522),a831)),f327(f298(x41522,f840(x41521,x41522),f331(x41523,x41524,x41521,x41522)),f327(f327(f47(x41521,f841(x41522,a831)),x41524),x41523))),f327(f327(f243(x41521,x41522),x41524),x41523))) % 153.71/153.53 [4153]E(f266(x41531,x41532,x41533,f327(f77(x41532,f841(a98,f841(a98,f841(f840(a98,a98),f840(f841(a98,f841(a831,f838(f836(x41532)))),f840(a98,a98))))),x41531,f268(x41532)),x41534)),f269(x41531,x41532,x41534,x41533)) % 153.71/153.53 [4192]E(f89(f840(x41921,x41922),f327(f246(x41921,x41922,a831),f327(f327(f9(x41921,f841(x41922,a831),f841(x41922,a831)),f327(f327(f10(f841(a831,a831),f841(f841(x41922,a831),f841(x41922,a831)),x41921),f10(a831,a831,x41922)),f327(f327(f10(a831,f841(a831,a831),x41921),a325),f327(a324,x41923)))),f327(a324,x41924)))),f327(f327(f236(x41921,x41922),x41923),x41924)) % 153.71/153.53 [4193]E(f94(f840(x41931,x41932),f327(f246(x41931,x41932,a831),f327(f327(f9(x41931,f841(x41932,a831),f841(x41932,a831)),f327(f327(f10(f841(a831,a831),f841(f841(x41932,a831),f841(x41932,a831)),x41931),f10(a831,a831,x41932)),f327(f327(f10(a831,f841(a831,a831),x41931),a325),f327(a324,x41933)))),f327(a324,x41934)))),f327(f327(f236(x41931,x41932),x41933),x41934)) % 153.71/153.53 [4262]E(f327(f327(f246(f835(x42621),f835(x42621),f840(f835(x42621),f835(x42621))),f327(f327(f20(f835(x42621),f841(f835(x42621),f840(f835(x42621),f835(x42621))),f841(f835(x42621),f840(f835(x42621),f835(x42621)))),f327(f327(f10(f841(f835(x42621),f841(f840(f835(x42621),f835(x42621)),f840(f835(x42621),f835(x42621)))),f841(f841(f835(x42621),f840(f835(x42621),f835(x42621))),f841(f835(x42621),f840(f835(x42621),f835(x42621)))),f835(x42621)),f20(f835(x42621),f840(f835(x42621),f835(x42621)),f840(f835(x42621),f835(x42621)))),f327(f327(f10(f841(f835(x42621),f840(f835(x42621),f835(x42621))),f841(f835(x42621),f841(f840(f835(x42621),f835(x42621)),f840(f835(x42621),f835(x42621)))),f835(x42621)),f327(f10(f840(f835(x42621),f835(x42621)),f841(f840(f835(x42621),f835(x42621)),f840(f835(x42621),f835(x42621))),f835(x42621)),f327(f95(f840(f835(x42621),f835(x42621))),f327(x42622,x42623)))),f327(f327(f10(f835(x42621),f841(f835(x42621),f840(f835(x42621),f835(x42621))),f835(x42621)),f236(f835(x42621),f835(x42621))),f327(f136(x42621),x42623))))),f327(f327(f9(f835(x42621),f841(f835(x42621),f835(x42621)),f841(f835(x42621),f840(f835(x42621),f835(x42621)))),f327(f327(f10(f841(f835(x42621),f840(f835(x42621),f835(x42621))),f841(f841(f835(x42621),f835(x42621)),f841(f835(x42621),f840(f835(x42621),f835(x42621)))),f835(x42621)),f10(f835(x42621),f840(f835(x42621),f835(x42621)),f835(x42621))),f236(f835(x42621),f835(x42621)))),f327(f136(x42621),x42623)))),f149(x42621,x42622,x42624)),f149(x42621,x42622,f327(f327(f136(x42621),x42623),x42624))) % 153.71/153.53 [4267]E(f327(f128(f841(x42671,f838(x42672)),f840(x42671,x42672),f327(f9(f840(x42671,x42672),f841(x42671,f838(x42672)),f841(x42671,f838(x42672))),f327(f246(x42671,x42672,f841(f841(x42671,f838(x42672)),f841(x42671,f838(x42672)))),f327(f327(f9(x42671,f841(x42672,f838(x42672)),f841(x42672,f841(f841(x42671,f838(x42672)),f841(x42671,f838(x42672))))),f327(f327(f10(f841(f838(x42672),f841(f841(x42671,f838(x42672)),f841(x42671,f838(x42672)))),f841(f841(x42672,f838(x42672)),f841(x42672,f841(f841(x42671,f838(x42672)),f841(x42671,f838(x42672))))),x42671),f10(f838(x42672),f841(f841(x42671,f838(x42672)),f841(x42671,f838(x42672))),x42672)),f327(f327(f10(f841(f841(x42671,f838(x42672)),f841(f838(x42672),f841(x42671,f838(x42672)))),f841(f838(x42672),f841(f841(x42671,f838(x42672)),f841(x42671,f838(x42672)))),x42671),f9(f841(x42671,f838(x42672)),f838(x42672),f841(x42671,f838(x42672)))),f327(f9(f841(x42671,f838(x42672)),x42671,f841(f838(x42672),f841(x42671,f838(x42672)))),f76(x42671,f838(x42672)))))),f222(x42672)))),x42673),f327(f151(f840(x42671,x42672)),x42674)),f166(x42671,x42672,x42673,f162(x42671,x42672,x42674))) % 153.71/153.53 [3494]E(f327(f327(f155(x34941),x34942),f327(f327(f155(x34941),x34943),x34944)),f327(f327(f155(x34941),f327(f327(f231(a834),x34942),x34943)),x34944)) % 153.71/153.53 [3495]E(f327(f327(f125(x34951),x34952),f327(f327(f125(x34951),x34953),x34954)),f327(f327(f125(x34951),f327(f327(f84(a834),x34952),x34953)),x34954)) % 153.71/153.53 [3507]E(f327(f327(f122(x35071),f327(f327(f136(x35071),x35072),x35073)),x35074),f327(f327(f136(x35071),x35072),f327(f327(f122(x35071),x35073),x35074))) % 153.71/153.53 [3508]E(f327(f327(f122(x35081),f327(f327(f122(x35081),x35082),x35083)),x35084),f327(f327(f122(x35081),x35082),f327(f327(f122(x35081),x35083),x35084))) % 153.71/153.53 [3591]E(f327(f327(f146(x35911),f327(f327(f136(x35911),x35912),x35913)),x35914),f171(x35911,x35912,f327(f146(x35911),x35913),x35914)) % 153.71/153.53 [3600]E(f327(f327(f169(x36001,x36001),x36002),f327(f327(f169(x36001,x36001),x36003),x36004)),f327(f327(f169(x36001,x36001),f327(f327(f85(a834),x36003),x36002)),x36004)) % 153.71/153.53 [3626]E(f327(f327(f100(f841(x36261,a831)),x36262),f327(f327(f297(x36261),x36263),x36264)),f327(f327(f297(x36261),x36263),f327(f327(f100(f841(x36261,a831)),x36262),x36264))) % 153.71/153.53 [3644]E(f327(f327(f327(f169(x36441,x36441),x36442),x36443),f327(x36443,x36444)),f327(x36443,f327(f327(f327(f169(x36441,x36441),x36442),x36443),x36444))) % 153.71/153.53 [3651]E(f327(f327(f276(x36511,x36512,x36513),f176(f841(f840(x36511,x36512),a831))),x36514),f176(f841(f840(x36511,x36513),a831))) % 153.71/153.53 [3668]E(f327(f327(f100(f841(x36681,a831)),f327(f327(f297(x36681),x36682),x36683)),x36684),f327(f327(f297(x36681),x36682),f327(f327(f100(f841(x36681,a831)),x36683),x36684))) % 153.71/153.53 [3686]E(f327(f43(f840(x36861,x36862)),f327(f327(f243(x36861,x36862),x36863),f327(f18(f841(x36862,a831),x36861),x36864))),f327(f327(f85(a834),f327(f43(x36861),x36863)),f327(f43(x36862),x36864))) % 153.71/153.53 [3692]E(f327(f327(f101(f841(x36921,a831)),f327(f327(f297(x36921),x36922),x36923)),f327(f327(f297(x36921),x36922),x36924)),f327(f327(f297(x36921),x36922),f327(f327(f101(f841(x36921,a831)),x36923),x36924))) % 153.71/153.53 [3702]E(f166(x37021,x37022,f162(x37021,x37022,x37023),f162(x37021,x37022,x37024)),f162(x37021,x37022,f327(f327(f122(f840(x37021,x37022)),x37024),x37023))) % 153.71/153.53 [3708]E(f327(f327(f100(f841(x37081,a831)),x37082),f327(f327(f100(f841(x37081,a831)),x37083),x37084)),f327(f327(f100(f841(x37081,a831)),x37083),f327(f327(f100(f841(x37081,a831)),x37082),x37084))) % 153.71/153.53 [3709]E(f327(f327(f101(f841(x37091,a831)),x37092),f327(f327(f101(f841(x37091,a831)),x37093),x37094)),f327(f327(f101(f841(x37091,a831)),x37093),f327(f327(f101(f841(x37091,a831)),x37092),x37094))) % 153.71/153.53 [3718]E(f69(x37181,x37182,f327(f327(f10(x37182,f841(x37182,x37182),x37181),x37183),x37184)),f327(f70(x37182,x37181,x37183),x37184)) % 153.71/153.53 [3727]E(f160(x37271,f327(f327(f138(f835(x37272),f835(x37271)),f327(f138(x37272,x37271),x37273)),x37274)),f327(f327(f138(f835(x37272),f835(x37271)),f327(f138(x37272,x37271),x37273)),f160(x37272,x37274))) % 153.71/153.53 [3744]E(f168(x37441,x37442,x37443,f327(f83(f841(x37441,a831)),f327(f327(f297(x37441),x37444),f176(f841(x37441,a831))))),f327(f327(f327(f76(x37441,f838(x37442)),x37443),x37444),f179(x37442))) % 153.71/153.53 [3799]E(f327(f77(x37991,x37991,x37991,f327(f327(f169(x37991,x37991),x37992),x37993)),f327(f327(f169(x37991,x37991),x37994),x37993)),f327(f327(f169(x37991,x37991),f327(f327(f84(a834),x37992),x37994)),x37993)) % 153.71/153.53 [3814]E(f327(f327(f327(f76(x38141,f838(x38142)),f162(x38141,x38142,x38143)),f327(f235(x38141,x38142),x38144)),f327(f222(x38142),f327(f245(x38141,x38142),x38144))),f162(x38141,x38142,f327(f327(f136(f840(x38141,x38142)),x38144),x38143))) % 153.71/153.53 [3821]E(f166(x38211,x38212,x38213,f162(x38211,x38212,f327(f151(f840(x38211,x38212)),f327(f327(f163(x38211,x38212),x38214),f112(x38212))))),x38213) % 153.71/153.53 [3824]E(f327(f327(f101(f841(x38241,a831)),f327(f327(f3(f841(x38241,a831)),x38242),x38243)),f327(f327(f3(f841(x38241,a831)),x38242),x38244)),f327(f327(f3(f841(x38241,a831)),x38242),f327(f327(f100(f841(x38241,a831)),x38243),x38244))) % 153.71/153.53 [3825]E(f327(f327(f100(f841(x38251,a831)),f327(f327(f3(f841(x38251,a831)),x38252),x38253)),f327(f327(f3(f841(x38251,a831)),x38252),x38254)),f327(f327(f3(f841(x38251,a831)),x38252),f327(f327(f101(f841(x38251,a831)),x38253),x38254))) % 153.71/153.53 [3826]E(f327(f327(f101(f841(x38261,a831)),f327(f327(f100(f841(x38261,a831)),x38262),x38263)),f327(f327(f100(f841(x38261,a831)),x38262),x38264)),f327(f327(f100(f841(x38261,a831)),x38262),f327(f327(f101(f841(x38261,a831)),x38263),x38264))) % 153.71/153.53 [3827]E(f327(f327(f3(f841(x38271,a831)),f327(f327(f101(f841(x38271,a831)),x38272),x38273)),f327(f327(f101(f841(x38271,a831)),x38272),x38274)),f327(f327(f101(f841(x38271,a831)),x38272),f327(f327(f3(f841(x38271,a831)),x38273),x38274))) % 153.71/153.53 [3828]E(f327(f327(f100(f841(x38281,a831)),f327(f327(f101(f841(x38281,a831)),x38282),x38283)),f327(f327(f101(f841(x38281,a831)),x38282),x38284)),f327(f327(f101(f841(x38281,a831)),x38282),f327(f327(f100(f841(x38281,a831)),x38283),x38284))) % 153.71/153.53 [3834]E(f327(f43(f840(x38341,x38342)),f327(f327(f243(x38341,x38342),f327(f327(f297(x38341),x38343),f176(f841(x38341,a831)))),f327(f18(f841(x38342,a831),x38341),x38344))),f327(f43(x38342),x38344)) % 153.71/153.53 [3872]E(f327(f327(f48(x38721,f841(x38722,a831)),x38723),f327(f327(f10(f841(x38722,a831),f841(x38722,a831),x38721),f83(f841(x38722,a831))),x38724)),f327(f83(f841(x38722,a831)),f327(f327(f47(x38721,f841(x38722,a831)),x38723),x38724))) % 153.71/153.53 [3873]E(f327(f327(f47(x38731,f841(x38732,a831)),x38733),f327(f327(f10(f841(x38732,a831),f841(x38732,a831),x38731),f83(f841(x38732,a831))),x38734)),f327(f83(f841(x38732,a831)),f327(f327(f48(x38731,f841(x38732,a831)),x38733),x38734))) % 153.71/153.54 [3889]E(f327(f327(f276(x38891,x38891,x38891),f327(f327(f169(f840(x38891,x38891),a831),x38892),x38893)),f327(f327(f169(f840(x38891,x38891),a831),x38894),x38893)),f327(f327(f169(f840(x38891,x38891),a831),f327(f327(f84(a834),x38892),x38894)),x38893)) % 153.71/153.54 [3921]E(f327(f327(f48(x39211,f841(f841(x39212,a831),a831)),x39213),f327(f327(f10(f841(x39212,a831),f841(f841(x39212,a831),a831),x39211),f296(x39212)),x39214)),f327(f296(x39212),f327(f327(f48(x39211,f841(x39212,a831)),x39213),x39214))) % 153.71/153.54 [3951]E(f327(f327(f47(f841(x39511,a831),f841(x39512,a831)),x39513),f327(f327(f9(f841(x39511,a831),f841(x39511,f841(x39512,a831)),f841(x39512,a831)),f47(x39511,f841(x39512,a831))),x39514)),f327(f327(f47(x39511,f841(x39512,a831)),f45(f841(x39511,a831),x39513)),x39514)) % 153.71/153.54 [3952]E(f327(f327(f48(f841(x39521,a831),f841(x39522,a831)),x39523),f327(f327(f9(f841(x39521,a831),f841(x39521,f841(x39522,a831)),f841(x39522,a831)),f48(x39521,f841(x39522,a831))),x39524)),f327(f327(f48(x39521,f841(x39522,a831)),f45(f841(x39521,a831),x39523)),x39524)) % 153.71/153.54 [3957]E(f327(f327(f138(x39571,x39572),x39573),f327(f128(f835(x39571),f835(x39571),f122(x39571),f112(x39571)),x39574)),f327(f128(f835(x39572),f835(x39572),f122(x39572),f112(x39572)),f327(f327(f138(f835(x39571),f835(x39572)),f327(f138(x39571,x39572),x39573)),x39574))) % 153.71/153.54 [3959]E(f171(f835(x39591),f112(x39591),f327(f327(f10(f835(x39591),f835(x39591),a834),f327(f136(x39591),x39592)),f327(f327(f9(a834,f835(x39591),f835(x39591)),f155(x39591)),x39593)),x39594),f327(f327(f155(x39591),x39594),f327(f327(f136(x39591),x39592),x39593))) % 153.71/153.54 [4002]P134(f327(f327(f227(f841(x40021,a831)),f327(f298(x40022,x40021,x40023),f327(f300(x40022,x40021,x40023),x40024))),x40024)) % 153.71/153.54 [4004]E(f327(f298(f840(x40041,x40042),f840(x40042,x40041),f327(f246(x40041,x40042,f840(x40042,x40041)),f327(f9(x40042,x40041,f840(x40042,x40041)),f236(x40042,x40041)))),f327(f327(f243(x40041,x40042),x40043),f327(f18(f841(x40042,a831),x40041),x40044))),f327(f327(f243(x40042,x40041),x40044),f327(f18(f841(x40041,a831),x40042),x40043))) % 153.71/153.54 [4013]E(f327(f327(f47(x40131,f841(x40132,a831)),x40133),f327(f327(f10(f841(x40131,a831),f841(x40132,a831),x40131),f272(x40131,x40132,x40134)),f327(f327(f9(x40131,f841(x40131,a831),f841(x40131,a831)),f297(x40131)),f176(f841(x40131,a831))))),f327(f272(x40131,x40132,x40134),x40133)) % 153.71/153.54 [4014]E(f327(f327(f47(x40141,f841(x40142,a831)),x40143),f327(f327(f10(f841(x40141,a831),f841(x40142,a831),x40141),f300(x40142,x40141,x40144)),f327(f327(f9(x40141,f841(x40141,a831),f841(x40141,a831)),f297(x40141)),f176(f841(x40141,a831))))),f327(f300(x40142,x40141,x40144),x40143)) % 153.71/153.54 [4105]E(f327(f327(f101(f841(x41051,a831)),f327(f327(f101(f841(x41051,a831)),f327(f327(f100(f841(x41051,a831)),x41052),x41053)),f327(f327(f100(f841(x41051,a831)),x41053),x41054))),f327(f327(f100(f841(x41051,a831)),x41054),x41052)),f327(f327(f100(f841(x41051,a831)),f327(f327(f100(f841(x41051,a831)),f327(f327(f101(f841(x41051,a831)),x41052),x41053)),f327(f327(f101(f841(x41051,a831)),x41053),x41054))),f327(f327(f101(f841(x41051,a831)),x41054),x41052))) % 153.71/153.54 [4165]E(f327(f128(f835(x41651),f835(x41651),f122(x41651),f112(x41651)),f327(f327(f138(x41652,f835(x41651)),f327(f327(f9(x41652,f835(x41651),f835(x41651)),f327(f327(f10(x41651,f841(f835(x41651),f835(x41651)),x41652),f136(x41651)),x41653)),f112(x41651))),x41654)),f327(f327(f138(x41652,x41651),x41653),x41654)) % 153.71/153.54 [4176]E(f327(f327(f90(a1,x41761),f327(f103(a1),f327(f327(f84(a1),x41762),a96))),f327(f327(f20(a1,x41761,x41761),f327(f327(f9(a1,x41761,f841(x41761,x41761)),f327(f327(f10(a831,f841(x41761,f841(x41761,x41761)),a1),f95(x41761)),a182)),x41763)),f327(f327(f10(a834,x41761,a1),x41764),a104))),f171(x41761,x41763,x41764,f327(f103(a834),x41762))) % 153.71/153.54 [4415]~P134(f327(f327(f176(f841(x44151,f841(x44152,a831))),x44153),x44154)) % 153.71/153.54 [3654]E(f327(f327(f146(x36541),f327(f327(f122(x36541),x36542),x36543)),f327(f327(f84(a834),f327(f177(f835(x36541)),x36542)),x36544)),f327(f327(f146(x36541),x36543),x36544)) % 153.71/153.54 [3660]E(f327(f327(f125(x36601),x36602),f327(f327(f155(x36601),f327(f327(f84(a834),x36603),x36602)),x36604)),f327(f327(f155(x36601),x36603),f327(f327(f125(x36601),x36602),x36604))) % 153.71/153.54 [3756]E(f327(f327(f100(f841(x37561,a831)),f327(f254(x37562,x37561),x37563)),f327(f254(x37562,x37561),x37564)),f327(f254(x37562,x37561),f327(f327(f100(f841(f840(x37562,x37561),a831)),x37563),x37564))) % 153.71/153.54 [3757]E(f327(f327(f100(f841(x37571,a831)),f327(f256(x37571,x37572),x37573)),f327(f256(x37571,x37572),x37574)),f327(f256(x37571,x37572),f327(f327(f100(f841(f840(x37571,x37572),a831)),x37573),x37574))) % 153.71/153.54 [3762]E(f327(f327(f3(f841(x37621,a831)),f327(f327(f101(f841(x37621,a831)),x37622),x37623)),x37624),f327(f327(f101(f841(x37621,a831)),x37622),f327(f327(f3(f841(x37621,a831)),x37623),x37624))) % 153.71/153.54 [3763]E(f327(f327(f100(f841(x37631,a831)),f327(f327(f100(f841(x37631,a831)),x37632),x37633)),x37634),f327(f327(f100(f841(x37631,a831)),x37632),f327(f327(f100(f841(x37631,a831)),x37633),x37634))) % 153.71/153.54 [3764]E(f327(f327(f101(f841(x37641,a831)),f327(f327(f101(f841(x37641,a831)),x37642),x37643)),x37644),f327(f327(f101(f841(x37641,a831)),x37642),f327(f327(f101(f841(x37641,a831)),x37643),x37644))) % 153.71/153.54 [3801]E(f327(f327(f100(f841(f840(x38011,x38012),a831)),f327(f273(x38012,x38011),x38013)),f327(f273(x38012,x38011),x38014)),f327(f273(x38012,x38011),f327(f327(f100(f841(f840(x38012,x38011),a831)),x38013),x38014))) % 153.71/153.54 [3802]E(f327(f327(f101(f841(f840(x38021,x38022),a831)),f327(f273(x38022,x38021),x38023)),f327(f273(x38022,x38021),x38024)),f327(f273(x38022,x38021),f327(f327(f101(f841(f840(x38022,x38021),a831)),x38023),x38024))) % 153.71/153.54 [3837]E(f166(x38371,x38372,x38373,f162(x38371,x38372,f327(f151(f840(x38371,x38372)),f327(f327(f163(x38371,x38372),f112(x38371)),x38374)))),x38373) % 153.71/153.54 [3876]E(f327(f327(f100(f841(x38761,a831)),f327(f327(f3(f841(x38761,a831)),x38762),x38763)),f327(f327(f3(f841(x38761,a831)),x38764),x38763)),f327(f327(f3(f841(x38761,a831)),f327(f327(f100(f841(x38761,a831)),x38762),x38764)),x38763)) % 153.71/153.54 [3877]E(f327(f327(f101(f841(x38771,a831)),f327(f327(f100(f841(x38771,a831)),x38772),x38773)),f327(f327(f100(f841(x38771,a831)),x38774),x38773)),f327(f327(f100(f841(x38771,a831)),f327(f327(f101(f841(x38771,a831)),x38772),x38774)),x38773)) % 153.71/153.54 [3878]E(f327(f327(f3(f841(x38781,a831)),f327(f327(f101(f841(x38781,a831)),x38782),x38783)),f327(f327(f101(f841(x38781,a831)),x38784),x38783)),f327(f327(f101(f841(x38781,a831)),f327(f327(f3(f841(x38781,a831)),x38782),x38784)),x38783)) % 153.71/153.54 [3879]E(f327(f327(f100(f841(x38791,a831)),f327(f327(f101(f841(x38791,a831)),x38792),x38793)),f327(f327(f101(f841(x38791,a831)),x38794),x38793)),f327(f327(f101(f841(x38791,a831)),f327(f327(f100(f841(x38791,a831)),x38792),x38794)),x38793)) % 153.71/153.54 [3880]E(f327(f327(f3(f841(x38801,a831)),f327(f327(f101(f841(x38801,a831)),x38802),x38803)),f327(f327(f101(f841(x38801,a831)),x38804),x38803)),f327(f327(f3(f841(x38801,a831)),f327(f327(f101(f841(x38801,a831)),x38802),x38803)),x38804)) % 153.71/153.54 [3892]E(f327(f327(f3(f841(x38921,a831)),f327(f327(f3(f841(x38921,a831)),x38922),f327(f327(f297(x38921),x38923),f176(f841(x38921,a831))))),x38924),f327(f327(f3(f841(x38921,a831)),x38922),f327(f327(f297(x38921),x38923),x38924))) % 153.71/153.54 [3948]E(f327(f327(f100(f841(x39481,a831)),f327(f327(f297(x39481),x39482),f327(f327(f297(x39481),x39483),f176(f841(x39481,a831))))),f327(f271(x39481),x39484)),f327(f271(x39481),f327(f327(f297(f840(x39481,x39481)),f327(f327(f236(x39481,x39481),x39482),x39483)),x39484))) % 153.71/153.54 [3975]E(f327(f327(f47(a834,f841(x39751,a831)),f327(f288(a834),x39752)),f327(f327(f10(a834,f841(x39751,a831),a834),x39753),f327(f327(f9(a834,a834,a834),f84(a834)),x39754))),f327(f327(f47(a834,f841(x39751,a831)),f290(a834,x39754,f327(f327(f84(a834),x39752),x39754))),x39753)) % 153.71/153.54 [3976]E(f157(x39761,f327(f272(x39761,x39761,x39762),f327(f327(f297(x39761),x39763),f176(f841(x39761,a831)))),f327(f272(f835(x39761),f835(x39761),f142(x39761,x39762)),f327(f327(f297(f835(x39761)),x39764),f176(f841(f835(x39761),a831))))),f327(f272(f835(x39761),f835(x39761),f142(x39761,x39762)),f327(f327(f297(f835(x39761)),f327(f327(f136(x39761),x39763),x39764)),f176(f841(f835(x39761),a831))))) % 153.71/153.54 [4039]E(f162(x40391,x40392,f327(f327(f138(x40391,f840(x40391,x40392)),f327(f327(f20(x40391,x40392,f840(x40391,x40392)),f236(x40391,x40392)),x40393)),x40394)),f168(x40391,x40392,f327(f77(x40392,f838(x40392),x40391,f222(x40392)),x40393),f327(f154(x40391),x40394))) % 153.71/153.54 [4042]E(f327(f251(x40421),f327(f327(f9(x40421,f841(x40422,a831),a831),f327(f327(f10(x40422,f841(f841(x40422,a831),a831),x40421),f329(x40422)),x40423)),x40424)),f327(f300(x40421,x40422,x40423),x40424)) % 153.71/153.54 [4137]E(f327(f251(x41371),f327(f327(f9(x41371,f841(f840(x41372,x41371),a831),a831),f327(f327(f10(f840(x41372,x41371),f841(f841(f840(x41372,x41371),a831),a831),x41371),f329(f840(x41372,x41371))),f327(f236(x41372,x41371),x41373))),x41374)),f327(f272(x41372,x41371,x41374),f327(f327(f297(x41372),x41373),f176(f841(x41372,a831))))) % 153.71/153.54 [4151]E(f327(f327(f138(f840(x41511,a834),x41511),f235(x41511,a834)),f327(f123(f840(x41511,a834),f327(f327(f10(a834,a831,f840(x41511,a834)),x41512),f327(f327(f10(a834,a834,f840(x41511,a834)),a111),f245(x41511,a834)))),f327(f327(f163(x41511,a834),x41513),x41514))),f327(f327(f138(f840(x41511,a834),x41511),f235(x41511,a834)),f327(f123(f840(x41511,a834),f327(f327(f10(a834,a831,f840(x41511,a834)),x41512),f245(x41511,a834))),f327(f327(f163(x41511,a834),x41513),f327(f327(f138(a834,a834),a111),x41514))))) % 153.71/153.54 [4158]P134(f327(f327(f227(f841(f841(x41581,a831),a831)),f327(f327(f47(x41582,f841(f841(x41581,a831),a831)),x41583),f327(f327(f10(f841(x41581,a831),f841(f841(x41581,a831),a831),x41582),f296(x41581)),x41584))),f327(f296(x41581),f327(f327(f47(x41582,f841(x41581,a831)),x41583),x41584)))) % 153.71/153.54 [4199]E(f327(f327(f90(a1,x41991),f327(f103(a1),f327(f327(f84(a1),x41992),a96))),f327(f327(f20(a1,x41991,x41991),f327(f327(f9(a1,x41991,f841(x41991,x41991)),f327(f327(f10(a831,f841(x41991,f841(x41991,x41991)),a1),f95(x41991)),a182)),x41993)),f327(f327(f20(a1,x41991,x41991),f327(f327(f10(a834,f841(x41991,x41991),a1),x41994),a104)),f327(f327(f10(a834,x41991,a1),f170(x41991,x41993,x41994)),a104)))),f327(f170(x41991,x41993,x41994),f327(f103(a834),x41992))) % 153.71/153.54 [4202]E(f327(f327(f138(x42021,x42022),f327(f77(f838(x42022),x42022,x42021,f226(x42022)),x42023)),f327(f123(x42021,f327(f327(f10(a831,a831,x42021),a323),f327(f327(f9(x42021,f838(x42022),a831),f327(f327(f10(f838(x42022),f841(f838(x42022),a831),x42021),a324),x42023)),f179(x42022)))),x42024)),f147(x42021,x42022,x42023,x42024)) % 153.71/153.54 [4224]E(f327(f251(f840(x42241,x42242)),f327(f246(x42241,x42242,a831),f327(f327(f9(x42241,f841(x42242,a831),f841(x42242,a831)),f327(f327(f10(f841(a831,a831),f841(f841(x42242,a831),f841(x42242,a831)),x42241),f10(a831,a831,x42242)),f327(f327(f10(a831,f841(a831,a831),x42241),a325),f327(f327(f9(x42241,f841(x42241,a831),a831),f329(x42241)),x42243)))),f327(f327(f9(x42242,f841(x42242,a831),a831),f329(x42242)),x42244)))),f218(x42241,x42242,x42243,x42244)) % 153.71/153.54 [4257]E(f327(f327(f47(x42571,f841(f840(x42571,x42572),a831)),x42573),f327(f327(f20(x42571,f841(x42572,f841(f840(x42571,x42572),a831)),f841(f840(x42571,x42572),a831)),f327(f327(f10(f841(x42572,a831),f841(f841(x42572,f841(f840(x42571,x42572),a831)),f841(f840(x42571,x42572),a831)),x42571),f47(x42572,f841(f840(x42571,x42572),a831))),x42574)),f327(f327(f9(x42571,f841(f840(x42571,x42572),a831),f841(x42572,f841(f840(x42571,x42572),a831))),f327(f327(f10(f841(x42572,f841(f841(f840(x42571,x42572),a831),f841(f840(x42571,x42572),a831))),f841(f841(f840(x42571,x42572),a831),f841(x42572,f841(f840(x42571,x42572),a831))),x42571),f9(x42572,f841(f840(x42571,x42572),a831),f841(f840(x42571,x42572),a831))),f327(f327(f10(f841(x42572,f840(x42571,x42572)),f841(x42572,f841(f841(f840(x42571,x42572),a831),f841(f840(x42571,x42572),a831))),x42571),f327(f10(f840(x42571,x42572),f841(f841(f840(x42571,x42572),a831),f841(f840(x42571,x42572),a831)),x42572),f297(f840(x42571,x42572)))),f236(x42571,x42572)))),f176(f841(f840(x42571,x42572),a831))))),f327(f327(f243(x42571,x42572),x42573),x42574)) % 153.71/153.54 [3810]E(f327(f327(f122(x38101),f327(f327(f155(x38101),x38102),x38103)),f327(f327(f155(x38101),f327(f327(f3(a834),x38102),f327(f177(f835(x38101)),x38103))),x38104)),f327(f327(f155(x38101),x38102),f327(f327(f122(x38101),x38103),x38104))) % 153.71/153.54 [3811]E(f327(f327(f122(x38111),f327(f327(f125(x38111),x38112),x38113)),f327(f327(f125(x38111),f327(f327(f3(a834),x38112),f327(f177(f835(x38111)),x38113))),x38114)),f327(f327(f125(x38111),x38112),f327(f327(f122(x38111),x38113),x38114))) % 153.71/153.54 [3865]E(f327(f327(f84(a834),f327(f327(f85(a834),x38651),x38652)),f327(f327(f84(a834),f327(f327(f85(a834),x38653),x38652)),x38654)),f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f84(a834),x38651),x38653)),x38652)),x38654)) % 153.71/153.54 [4070]P134(f327(f327(f227(f841(x40701,a831)),f327(f327(f3(f841(x40701,a831)),f327(f254(x40702,x40701),x40703)),f327(f254(x40702,x40701),x40704))),f327(f254(x40702,x40701),f327(f327(f3(f841(f840(x40702,x40701),a831)),x40703),x40704)))) % 153.71/153.54 [4071]P134(f327(f327(f227(f841(x40711,a831)),f327(f327(f3(f841(x40711,a831)),f327(f256(x40711,x40712),x40713)),f327(f256(x40711,x40712),x40714))),f327(f256(x40711,x40712),f327(f327(f3(f841(f840(x40711,x40712),a831)),x40713),x40714)))) % 153.71/153.54 [4178]E(f327(f327(f84(a1),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x41781),x41782)),f176(f841(f840(a834,a834),a831)))))),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x41783),x41784)),f176(f841(f840(a834,a834),a831)))))),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),f327(f327(f84(a834),x41781),x41783)),f327(f327(f84(a834),x41782),x41784))),f176(f841(f840(a834,a834),a831)))))) % 153.71/153.54 [4219]E(f327(f327(f85(a1),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x42191),x42192)),f176(f841(f840(a834,a834),a831)))))),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x42193),x42194)),f176(f841(f840(a834,a834),a831)))))),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),f327(f327(f84(a834),f327(f327(f85(a834),x42191),x42193)),f327(f327(f85(a834),x42192),x42194))),f327(f327(f84(a834),f327(f327(f85(a834),x42191),x42194)),f327(f327(f85(a834),x42192),x42193)))),f176(f841(f840(a834,a834),a831)))))) % 153.71/153.54 [4239]E(f327(f251(x42391),f327(f327(f10(f841(x42392,a831),a831,x42391),f92(x42392)),f327(f327(f10(f841(x42392,a831),f841(x42392,a831),x42391),f327(f20(x42392,a831,a831),f327(f327(f10(a831,f841(a831,a831),x42392),a330),f327(f327(f9(x42392,f841(x42392,a831),a831),f329(x42392)),x42393)))),f327(f327(f9(x42391,f841(x42392,f841(x42391,a831)),f841(x42392,a831)),f327(f327(f10(f841(f841(x42391,a831),a831),f841(f841(x42392,f841(x42391,a831)),f841(x42392,a831)),x42391),f10(f841(x42391,a831),a831,x42392)),f329(x42391))),x42394)))),f327(f327(f48(x42392,f841(x42391,a831)),x42393),x42394)) % 153.71/153.54 [4270]E(f327(f327(f276(x42701,x42701,x42701),f327(f327(f297(f840(x42701,x42701)),f327(f327(f236(x42701,x42701),x42702),x42703)),x42704)),f295(x42701,f327(f327(f297(f840(x42701,x42701)),f327(f327(f236(x42701,x42701),x42702),x42703)),x42704))),f327(f327(f100(f841(f840(x42701,x42701),a831)),f327(f327(f276(x42701,x42701,x42701),x42704),f295(x42701,x42704))),f327(f251(f840(x42701,x42701)),f327(f246(x42701,x42701,a831),f327(f327(f9(x42701,f841(x42701,a831),f841(x42701,a831)),f327(f327(f10(f841(a831,a831),f841(f841(x42701,a831),f841(x42701,a831)),x42701),f10(a831,a831,x42701)),f327(f327(f10(a831,f841(a831,a831),x42701),a325),f327(f327(f9(x42701,f841(f840(x42701,x42701),a831),a831),f327(f327(f10(f840(x42701,x42701),f841(f841(f840(x42701,x42701),a831),a831),x42701),f329(f840(x42701,x42701))),f327(f327(f9(x42701,x42701,f840(x42701,x42701)),f236(x42701,x42701)),x42702))),f295(x42701,x42704))))),f327(f327(f9(x42701,f841(f840(x42701,x42701),a831),a831),f327(f327(f10(f840(x42701,x42701),f841(f841(f840(x42701,x42701),a831),a831),x42701),f329(f840(x42701,x42701))),f327(f236(x42701,x42701),x42703))),f295(x42701,x42704))))))) % 153.71/153.54 [4072]E(f327(f123(x40721,f327(f327(f20(x40721,a831,a831),f327(f327(f10(a831,f841(a831,a831),x40721),a325),x40722)),x40723)),x40724),f327(f123(x40721,x40723),f327(f123(x40721,x40722),x40724))) % 153.71/153.54 [4172]E(f327(f327(f122(x41721),f327(f327(f327(f95(f835(x41721)),f327(f327(f329(a834),f2(a834)),x41722)),f327(f327(f136(x41721),x41723),f112(x41721))),f112(x41721))),f156(x41721,x41724,f327(f251(a834),f327(f327(f9(a834,f841(a834,a831),a831),f327(f327(f10(a834,f841(f841(a834,a831),a831),a834),f329(a834)),a111)),x41722)))),f156(x41721,f327(f327(f136(x41721),x41723),x41724),x41722)) % 153.71/153.54 [4265]E(f327(f251(f840(x42651,x42652)),f327(f327(f10(f841(a834,a831),a831,f840(x42651,x42652)),f91(a834)),f327(f327(f9(f840(x42651,x42652),f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),f840(x42651,x42652)),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),f840(x42651,x42652)),f327(f10(a831,f841(a831,a831),a834),a325)),f327(f327(f9(f840(x42651,x42652),f841(a834,f840(x42651,x42652)),f841(a834,a831)),f327(f327(f10(f841(f840(x42651,x42652),a831),f841(f841(a834,f840(x42651,x42652)),f841(a834,a831)),f840(x42651,x42652)),f10(f840(x42651,x42652),a831,a834)),a324)),f327(f327(f20(a834,x42652,f840(x42651,x42652)),f327(f327(f10(x42651,f841(x42652,f840(x42651,x42652)),a834),f236(x42651,x42652)),f327(f146(x42651),x42653))),f327(f146(x42652),x42654)))))),f327(f327(f9(a834,a834,a831),f228(a834)),f327(f327(f231(a834),f327(f177(f835(x42651)),x42653)),f327(f177(f835(x42652)),x42654)))))),f327(f154(f840(x42651,x42652)),f327(f327(f163(x42651,x42652),x42653),x42654))) % 153.71/153.54 [4191]E(f327(f251(f840(x41911,x41912)),f327(f246(x41911,x41912,a831),f327(f327(f9(x41911,f841(x41912,a831),f841(x41912,a831)),f327(f327(f10(f841(a831,a831),f841(f841(x41912,a831),f841(x41912,a831)),x41911),f10(a831,a831,x41912)),f327(f327(f10(a831,f841(a831,a831),x41911),a325),x41913))),x41914))),f327(f327(f243(x41911,x41912),f327(f251(x41911),x41913)),f327(f18(f841(x41912,a831),x41911),f327(f251(x41912),x41914)))) % 153.71/153.54 [4194]E(f327(f251(f840(x41941,x41942)),f327(f246(x41941,x41942,a831),f327(f327(f20(x41941,f841(x41942,a831),f841(x41942,a831)),f327(f327(f10(f841(a831,a831),f841(f841(x41942,a831),f841(x41942,a831)),x41941),f10(a831,a831,x41942)),f327(f327(f10(a831,f841(a831,a831),x41941),a325),x41943))),x41944))),f327(f327(f243(x41941,x41942),f327(f251(x41941),x41943)),f327(f327(f10(f841(x41942,a831),f841(x41942,a831),x41941),f251(x41942)),x41944))) % 153.71/153.54 [4209]E(f327(f251(x42091),f327(f327(f10(f841(x42092,a831),a831,x42091),f92(x42092)),f327(f327(f10(f841(x42092,a831),f841(x42092,a831),x42091),f327(f20(x42092,a831,a831),f327(f327(f10(a831,f841(a831,a831),x42092),a330),f327(f327(f9(x42092,f841(x42092,a831),a831),f329(x42092)),x42093)))),x42094))),f327(f327(f48(x42092,f841(x42091,a831)),x42093),f327(f327(f10(f841(x42091,a831),f841(x42091,a831),x42092),f251(x42091)),f327(f9(x42091,x42092,a831),x42094)))) % 153.71/153.54 [4252]E(f327(f327(f138(f840(x42521,a834),x42521),f235(x42521,a834)),f327(f123(f840(x42521,a834),f327(f327(f9(f840(x42521,a834),f841(a834,a831),a831),f327(f327(f10(a834,f841(f841(a834,a831),a831),f840(x42521,a834)),f329(a834)),f245(x42521,a834))),x42522)),f327(f327(f163(x42521,a834),x42523),f126(a834,f327(f289(a834,x42524),f327(f327(f84(a834),x42524),f327(f177(f835(x42521)),x42523))))))),f327(f327(f138(f840(x42521,a834),x42521),f235(x42521,a834)),f327(f123(f840(x42521,a834),f327(f327(f9(f840(x42521,a834),f841(a834,a831),a831),f327(f327(f10(a834,f841(f841(a834,a831),a831),f840(x42521,a834)),f329(a834)),f327(f327(f9(f840(x42521,a834),a834,a834),f327(f327(f10(a834,f841(a834,a834),f840(x42521,a834)),f84(a834)),f245(x42521,a834))),x42524))),x42522)),f327(f327(f163(x42521,a834),x42523),f126(a834,f327(f289(a834,f2(a834)),f327(f177(f835(x42521)),x42523))))))) % 153.71/153.54 [4253]E(f327(a111,f327(f327(f175(a834),f327(f177(f835(x42531)),x42532)),f327(f128(a834,f835(x42533),f327(f9(f835(x42533),a834,a834),f327(f327(f10(a834,f841(a834,a834),f835(x42533)),f175(a834)),f327(f327(f9(f835(x42533),a834,a834),f327(f327(f10(a834,f841(a834,a834),f835(x42533)),f3(a834)),f177(f835(x42533)))),f327(a111,f2(a834))))),f2(a834)),f327(f151(f835(x42533)),f327(f123(f835(x42533),f327(f327(f10(a831,a831,f835(x42533)),a323),f327(f327(f9(f835(x42533),f835(x42533),a831),a324),f112(x42533)))),x42534))))),f327(f327(f175(a834),f327(a111,f327(f177(f835(x42531)),x42532))),f327(f128(a834,f835(x42533),f327(f9(f835(x42533),a834,a834),f327(f327(f10(a834,f841(a834,a834),f835(x42533)),f175(a834)),f177(f835(x42533)))),f2(a834)),f327(f151(f835(x42533)),x42534)))) % 153.71/153.54 [4208]E(f327(f327(f122(x42081),f156(x42081,x42082,x42083)),f156(x42081,x42084,f327(f251(a834),f327(f327(f9(a834,f841(a834,a831),a831),f327(f327(f10(a834,f841(f841(a834,a831),a831),a834),f329(a834)),f327(f327(f9(a834,a834,a834),f84(a834)),f327(f177(f835(x42081)),x42082)))),x42083)))),f156(x42081,f327(f327(f122(x42081),x42082),x42084),x42083)) % 153.71/153.54 [4259]E(f327(f327(f136(f835(x42591)),f327(f327(f136(x42591),x42592),f327(f128(f835(x42591),f835(x42591),f122(x42591),f112(x42591)),f327(f327(f138(f835(x42591),f835(x42591)),f140(f835(x42591),x42591,f112(x42591),f327(f327(f10(f835(x42591),f841(f835(x42591),f835(x42591)),x42591),f18(f835(x42591),f835(x42591))),f327(f327(f9(x42591,f835(x42591),f835(x42591)),f136(x42591)),f112(x42591))))),x42593)))),f160(x42591,f327(f327(f136(f835(x42591)),x42594),f327(f128(f835(f835(x42591)),f835(f835(x42591)),f122(f835(x42591)),f112(f835(x42591))),f327(f327(f138(f835(x42591),f835(f835(x42591))),f140(f835(f835(x42591)),x42591,f112(f835(x42591)),f327(f18(f841(f835(x42591),f835(f835(x42591))),x42591),f327(f327(f9(f835(x42591),f835(f835(x42591)),f835(f835(x42591))),f136(f835(x42591))),f112(f835(x42591)))))),x42593))))),f160(x42591,f327(f327(f136(f835(x42591)),f327(f327(f136(x42591),x42592),x42594)),x42593))) % 153.71/153.54 [4266]E(f327(f251(f840(x42661,x42661)),f327(f246(x42661,x42661,a831),f327(f327(f9(x42661,f841(f840(x42662,x42662),a831),f841(x42661,a831)),f327(f327(f10(f841(x42661,f841(f841(f840(x42662,x42662),a831),a831)),f841(f841(f840(x42662,x42662),a831),f841(x42661,a831)),x42661),f9(x42661,f841(f840(x42662,x42662),a831),a831)),f327(f327(f10(f841(x42661,f840(x42662,x42662)),f841(x42661,f841(f841(f840(x42662,x42662),a831),a831)),x42661),f327(f10(f840(x42662,x42662),f841(f841(f840(x42662,x42662),a831),a831),x42661),f329(f840(x42662,x42662)))),f327(f327(f9(x42661,f841(x42661,x42662),f841(x42661,f840(x42662,x42662))),f327(f327(f10(f841(x42662,f840(x42662,x42662)),f841(f841(x42661,x42662),f841(x42661,f840(x42662,x42662))),x42661),f10(x42662,f840(x42662,x42662),x42661)),f327(f327(f10(x42662,f841(x42662,f840(x42662,x42662)),x42661),f236(x42662,x42662)),x42663))),x42663)))),x42664))),f327(f327(f275(x42662,x42661),x42664),x42663)) % 153.71/153.54 [4350]~E(f36(x43501,x43502),f33(x43503,x43504,x43505)) % 153.71/153.54 [4351]~E(f36(x43511,x43512),f31(x43513,x43514,x43515)) % 153.71/153.54 [4352]~E(f36(x43521,x43522),f32(x43523,x43524,x43525)) % 153.71/153.54 [4353]~E(f35(x43531,x43532),f33(x43533,x43534,x43535)) % 153.71/153.54 [4354]~E(f35(x43541,x43542),f31(x43543,x43544,x43545)) % 153.71/153.54 [4355]~E(f35(x43551,x43552),f32(x43553,x43554,x43555)) % 153.71/153.54 [4356]~E(f28(x43561,x43562),f33(x43563,x43564,x43565)) % 153.71/153.54 [4357]~E(f28(x43571,x43572),f31(x43573,x43574,x43575)) % 153.71/153.54 [4358]~E(f28(x43581,x43582),f32(x43583,x43584,x43585)) % 153.71/153.54 [4359]~E(f33(x43591,x43592,x43593),f36(x43594,x43595)) % 153.71/153.54 [4360]~E(f33(x43601,x43602,x43603),f35(x43604,x43605)) % 153.71/153.54 [4361]~E(f33(x43611,x43612,x43613),f28(x43614,x43615)) % 153.71/153.54 [4362]~E(f31(x43621,x43622,x43623),f36(x43624,x43625)) % 153.71/153.54 [4363]~E(f31(x43631,x43632,x43633),f35(x43634,x43635)) % 153.71/153.54 [4364]~E(f31(x43641,x43642,x43643),f28(x43644,x43645)) % 153.71/153.54 [4365]~E(f32(x43651,x43652,x43653),f36(x43654,x43655)) % 153.71/153.54 [4366]~E(f32(x43661,x43662,x43663),f35(x43664,x43665)) % 153.71/153.54 [4367]~E(f32(x43671,x43672,x43673),f28(x43674,x43675)) % 153.71/153.54 [3754]E(f327(f166(x37541,x37542,x37543,x37544),x37545),f327(f224(f838(x37542),x37542,f327(x37543,x37545),f222(x37542)),f327(x37544,x37545))) % 153.71/153.54 [3840]E(f166(x38401,x38402,f166(x38401,x38402,x38403,x38404),x38405),f166(x38401,x38402,x38403,f166(x38401,x38402,x38404,x38405))) % 153.71/153.54 [3586]E(f327(f327(f246(x35861,x35862,x35863),x35864),x35865),f327(f327(x35864,f327(f235(x35861,x35862),x35865)),f327(f245(x35861,x35862),x35865))) % 153.71/153.54 [3612]E(f327(f224(x36121,x36122,x36123,x36124),f327(f222(x36122),x36125)),f327(x36124,x36125)) % 153.71/153.54 [3618]E(f327(f327(f327(f70(x36181,x36182,x36183),x36184),x36185),f176(f841(x36182,a831))),x36185) % 153.71/153.54 [3634]E(f327(f311(x36341,x36342,x36343,x36344),f327(f299(x36341,x36343),x36345)),f327(x36344,x36345)) % 153.71/153.54 [3635]E(f327(f312(x36351,x36352,x36353,x36354),f327(f308(x36351,x36353),x36355)),f327(x36354,x36355)) % 153.71/153.54 [3784]E(f225(x37841,x37842,x37843,x37844,f327(f222(x37842),x37845)),f327(x37844,x37845)) % 153.71/153.54 [3818]E(f313(x38181,x38182,x38183,x38184,f327(f299(x38181,x38182),x38185)),f327(f327(f84(a834),f327(x38183,x38185)),f327(a111,f2(a834)))) % 153.71/153.54 [3819]E(f313(x38191,x38192,x38193,x38194,f327(f308(x38192,x38191),x38195)),f327(f327(f84(a834),f327(x38194,x38195)),f327(a111,f2(a834)))) % 153.71/153.54 [3898]E(f327(f77(f838(x38981),f838(x38982),f838(x38983),f327(f191(x38981,x38982),x38984)),f327(f191(x38983,x38981),x38985)),f327(f191(x38983,x38982),f327(f77(x38981,x38982,x38983,x38984),x38985))) % 153.71/153.54 [3900]E(f327(f77(f835(x39001),f835(x39002),f835(x39003),f327(f138(x39001,x39002),x39004)),f327(f138(x39003,x39001),x39005)),f327(f138(x39003,x39002),f327(f77(x39001,x39002,x39003,x39004),x39005))) % 153.71/153.54 [3979]E(f89(x39791,f71(x39792,x39791,x39793,x39794,x39795)),f327(f327(f69(x39792,x39791,x39793),x39794),x39795)) % 153.71/153.54 [4015]E(f327(f327(f84(a834),f327(f327(f84(a834),f327(x40151,f327(f235(x40152,x40153),x40154))),f327(x40155,f327(f245(x40152,x40153),x40154)))),f327(a111,f2(a834))),f250(x40152,x40153,x40151,x40155,x40154)) % 153.71/153.54 [4204]E(f147(x42041,x42042,f327(f327(f9(x42041,f838(x42042),f838(x42042)),f327(f327(f20(x42041,f838(x42042),f841(f838(x42042),f838(x42042))),f327(f327(f10(a831,f841(f838(x42042),f841(f838(x42042),f838(x42042))),x42041),f95(f838(x42042))),x42043)),f327(f327(f10(x42042,f838(x42042),x42041),f222(x42042)),x42044))),f179(x42042)),x42045),f327(f327(f138(x42041,x42042),x42044),f327(f123(x42041,x42043),x42045))) % 153.71/153.54 [4408]~E(f327(f327(f327(f76(x44081,f838(x44082)),x44083),x44084),f327(f222(x44082),x44085)),f327(f18(f838(x44082),x44081),f179(x44082))) % 153.71/153.54 [3520]E(f327(f327(f155(x35201),x35202),f327(f327(f138(x35203,x35201),x35204),x35205)),f327(f327(f138(x35203,x35201),x35204),f327(f327(f155(x35203),x35202),x35205))) % 153.71/153.54 [3521]E(f327(f327(f125(x35211),x35212),f327(f327(f138(x35213,x35211),x35214),x35215)),f327(f327(f138(x35213,x35211),x35214),f327(f327(f125(x35213),x35212),x35215))) % 153.71/153.54 [3554]E(f327(f327(f138(x35541,x35542),x35543),f327(f327(f136(x35541),x35544),x35545)),f327(f327(f136(x35542),f327(x35543,x35544)),f327(f327(f138(x35541,x35542),x35543),x35545))) % 153.71/153.54 [3616]E(f327(f298(x36161,x36162,x36163),f327(f327(f297(x36161),x36164),x36165)),f327(f327(f297(x36162),f327(x36163,x36164)),f327(f298(x36161,x36162,x36163),x36165))) % 153.71/153.54 [3681]E(f327(f327(f163(x36811,x36812),f327(f327(f155(x36811),x36813),x36814)),f327(f327(f155(x36812),x36813),x36815)),f327(f327(f155(f840(x36811,x36812)),x36813),f327(f327(f163(x36811,x36812),x36814),x36815))) % 153.71/153.54 [3682]E(f327(f327(f163(x36821,x36822),f327(f327(f125(x36821),x36823),x36824)),f327(f327(f125(x36822),x36823),x36825)),f327(f327(f125(f840(x36821,x36822)),x36823),f327(f327(f163(x36821,x36822),x36824),x36825))) % 153.71/153.54 [3691]E(f327(f327(f143(x36911,f327(f327(f136(x36911),x36912),x36913)),f327(a111,x36914)),x36915),f327(f327(f136(x36911),x36912),f327(f327(f143(x36911,x36913),x36914),x36915))) % 153.71/153.54 [3694]E(f327(f224(f838(x36941),x36942,f179(x36941),x36943),f327(f327(f18(f838(x36942),x36944),f179(x36942)),x36945)),f179(x36941)) % 153.71/153.54 [3696]E(f327(f327(f122(x36961),f327(f327(f138(x36962,x36961),x36963),x36964)),f327(f327(f138(x36962,x36961),x36963),x36965)),f327(f327(f138(x36962,x36961),x36963),f327(f327(f122(x36962),x36964),x36965))) % 153.71/153.54 [3700]E(f327(f327(x37001,x37002),f327(f327(f238(x37003,x37004,x37001),x37002),x37005)),f327(f327(f238(x37003,x37004,x37001),x37002),f327(a111,x37005))) % 153.71/153.54 [3741]E(f327(f327(f276(x37411,x37412,x37413),f327(f273(x37412,x37411),x37414)),f327(f273(x37413,x37412),x37415)),f327(f273(x37413,x37411),f327(f327(f276(x37413,x37412,x37411),x37415),x37414))) % 153.71/153.54 [3772]E(f327(f327(f327(f169(f835(x37721),f835(x37721)),x37722),f150(x37721)),f327(f327(f138(x37723,x37721),x37724),x37725)),f327(f327(f138(x37723,x37721),x37724),f327(f327(f327(f169(f835(x37723),f835(x37723)),x37722),f150(x37723)),x37725))) % 153.71/153.54 [3773]E(f327(f327(f248(x37731,x37732,x37731,x37733),f327(f236(x37732,x37731),x37734)),x37735),f327(x37735,x37734)) % 153.71/153.54 [3796]E(f139(x37961,x37962,f327(f327(f138(x37963,x37961),x37964),x37965)),f139(x37963,f327(f77(x37961,a834,x37963,x37962),x37964),x37965)) % 153.71/153.54 [3863]E(f327(f327(f77(f838(x38631),f838(x38632),x38633,f327(f191(x38631,x38632),x38634)),f327(f18(f838(x38631),x38633),f179(x38631))),x38635),f179(x38632)) % 153.71/153.54 [3864]E(f158(f840(x38641,x38642),f327(f77(x38642,a831,f840(x38641,x38642),x38643),f245(x38641,x38642)),f327(f327(f163(x38641,x38642),x38644),x38645)),f327(f327(f163(x38641,x38642),x38644),f158(x38642,x38643,x38645))) % 153.71/153.54 [3869]E(f327(f298(x38691,x38692,f327(f327(f10(x38693,x38692,x38691),x38694),x38695)),f234(f841(x38691,a831))),f327(f298(x38693,x38692,x38694),f327(f298(x38691,x38693,x38695),f234(f841(x38691,a831))))) % 153.71/153.54 [3883]E(f158(f840(x38831,x38832),f327(f77(x38831,a831,f840(x38831,x38832),x38833),f235(x38831,x38832)),f327(f327(f163(x38831,x38832),x38834),x38835)),f327(f327(f163(x38831,x38832),f158(x38831,x38833,x38834)),x38835)) % 153.71/153.54 [3904]E(f327(f327(f100(f841(x39041,a831)),f327(f300(x39041,x39042,x39043),f327(f327(f297(x39042),x39044),f176(f841(x39042,a831))))),f327(f300(x39041,x39042,x39043),x39045)),f327(f300(x39041,x39042,x39043),f327(f327(f297(x39042),x39044),x39045))) % 153.71/153.54 [3964]E(f327(f327(f138(x39641,x39642),x39643),f158(x39641,f327(f77(x39642,a831,x39641,x39644),x39643),x39645)),f158(x39642,x39644,f327(f327(f138(x39641,x39642),x39643),x39645))) % 153.71/153.54 [3971]E(f327(f128(x39711,x39712,f327(f9(x39712,x39711,x39711),f327(f9(x39711,x39712,x39711),x39713)),x39714),f327(f151(x39712),f327(f151(x39712),x39715))),f327(f128(x39711,x39712,x39713,x39714),x39715)) % 153.71/153.54 [3972]E(f327(f327(f327(f76(x39721,f838(x39722)),f168(x39721,x39722,x39723,x39724)),x39725),f327(x39723,x39725)),f168(x39721,x39722,x39723,f327(f327(f297(x39721),x39725),x39724))) % 153.71/153.54 [3981]E(f327(f314(x39811,x39812,x39813,f327(f18(x39812,x39811),x39814),f327(f18(x39812,x39813),x39814)),x39815),x39814) % 153.71/153.54 [4040]E(f327(f224(f835(x40401),x40401,f147(x40402,x40401,x40403,x40404),f327(f327(f9(x40401,f835(x40401),f835(x40401)),f136(x40401)),f147(x40402,x40401,x40403,x40404))),f327(x40403,x40405)),f147(x40402,x40401,x40403,f327(f327(f136(x40402),x40405),x40404))) % 153.71/153.54 [4080]P134(f327(f327(f227(f841(x40801,a831)),f327(f298(x40802,x40801,x40803),f327(f327(f101(f841(x40802,a831)),x40804),x40805))),f327(f327(f101(f841(x40801,a831)),f327(f298(x40802,x40801,x40803),x40804)),f327(f298(x40802,x40801,x40803),x40805)))) % 153.71/153.54 [4081]P134(f327(f327(f227(f841(x40811,a831)),f327(f272(x40812,x40811,x40813),f327(f327(f101(f841(x40812,a831)),x40814),x40815))),f327(f327(f101(f841(x40811,a831)),f327(f272(x40812,x40811,x40813),x40814)),f327(f272(x40812,x40811,x40813),x40815)))) % 153.71/153.54 [4179]E(f327(f245(x41791,x41792),f327(f247(x41793,x41791,x41792,x41792,x41794,f39(x41792)),x41795)),f327(f245(x41793,x41792),x41795)) % 153.71/153.54 [4180]E(f327(f235(x41801,x41802),f327(f247(x41801,x41801,x41803,x41802,f39(x41801),x41804),x41805)),f327(f235(x41801,x41803),x41805)) % 153.71/153.54 [3371]E(f327(f327(f327(f327(f194(x33711),x33712),x33713),x33714),x33715),f189(x33711,x33712)) % 153.71/153.54 [3372]E(f327(f327(f327(f327(f195(x33721),x33722),x33723),x33724),x33725),f181(x33721,x33722)) % 153.71/153.54 [3503]E(f327(f327(f327(f327(f76(x35031,x35032),x35033),x35034),x35035),x35034),x35035) % 153.71/153.54 [3731]E(f327(f327(f47(x37311,f841(x37312,a831)),f327(f327(f297(x37311),x37313),x37314)),x37315),f327(f327(f100(f841(x37312,a831)),f327(x37315,x37313)),f327(f327(f47(x37311,f841(x37312,a831)),x37314),x37315))) % 153.71/153.54 [3732]E(f327(f327(f48(x37321,f841(x37322,a831)),f327(f327(f297(x37321),x37323),x37324)),x37325),f327(f327(f101(f841(x37322,a831)),f327(x37325,x37323)),f327(f327(f48(x37321,f841(x37322,a831)),x37324),x37325))) % 153.71/153.54 [3789]E(f327(f327(f100(f841(x37891,a831)),f327(f298(x37892,x37891,x37893),x37894)),f327(f298(x37892,x37891,x37893),x37895)),f327(f298(x37892,x37891,x37893),f327(f327(f100(f841(x37892,a831)),x37894),x37895))) % 153.71/153.54 [3790]E(f327(f327(f100(f841(x37901,a831)),f327(f272(x37902,x37901,x37903),x37904)),f327(f272(x37902,x37901,x37903),x37905)),f327(f272(x37902,x37901,x37903),f327(f327(f100(f841(x37902,a831)),x37904),x37905))) % 153.71/153.54 [3791]E(f327(f327(f3(f841(x37911,a831)),f327(f300(x37911,x37912,x37913),x37914)),f327(f300(x37911,x37912,x37913),x37915)),f327(f300(x37911,x37912,x37913),f327(f327(f3(f841(x37912,a831)),x37914),x37915))) % 153.71/153.54 [3792]E(f327(f327(f100(f841(x37921,a831)),f327(f300(x37921,x37922,x37923),x37924)),f327(f300(x37921,x37922,x37923),x37925)),f327(f300(x37921,x37922,x37923),f327(f327(f100(f841(x37922,a831)),x37924),x37925))) % 153.71/153.54 [3793]E(f327(f327(f101(f841(x37931,a831)),f327(f300(x37931,x37932,x37933),x37934)),f327(f300(x37931,x37932,x37933),x37935)),f327(f300(x37931,x37932,x37933),f327(f327(f101(f841(x37932,a831)),x37934),x37935))) % 153.71/153.54 [3795]E(f168(x37951,x37952,f168(x37951,x37952,x37953,x37954),x37955),f168(x37951,x37952,x37953,f327(f327(f101(f841(x37951,a831)),x37954),x37955))) % 153.71/153.54 [3797]E(f115(x37971,x37972,f327(x37973,x37974),f327(f327(f9(x37971,a98,f836(x37972)),x37975),x37974)),f327(f187(x37971,x37972,x37973,x37975),x37974)) % 153.71/153.54 [3859]E(f327(f327(f143(x38591,f327(f327(f122(x38591),x38592),f327(f327(f136(x38591),x38593),x38594))),f327(f177(f835(x38591)),x38592)),x38595),f327(f327(f122(x38591),x38592),f327(f327(f136(x38591),x38595),x38594))) % 153.71/153.54 [3867]E(f327(f327(f48(x38671,f841(x38672,a831)),x38673),f327(f327(f10(f841(x38672,a831),f841(x38672,a831),x38671),f327(f297(x38672),x38674)),x38675)),f327(f327(f297(x38672),x38674),f327(f327(f48(x38671,f841(x38672,a831)),x38673),x38675))) % 153.71/153.54 [3939]E(f168(x39391,x39392,f327(f327(f327(f76(x39391,f838(x39392)),x39393),x39394),f327(f222(x39392),x39395)),f327(f83(f841(x39391,a831)),f327(f327(f297(x39391),x39394),f176(f841(x39391,a831))))),f168(x39391,x39392,x39393,f327(f83(f841(x39391,a831)),f327(f327(f297(x39391),x39394),f176(f841(x39391,a831)))))) % 153.71/153.54 [4025]E(f327(f327(f138(x40251,x40252),x40253),f327(f123(x40251,f327(f77(x40252,a831,x40251,x40254),x40253)),x40255)),f327(f123(x40252,x40254),f327(f327(f138(x40251,x40252),x40253),x40255))) % 153.71/153.54 [4032]E(f327(f177(f835(x40321)),f327(f123(x40321,x40322),f327(f327(f138(x40323,x40321),x40324),x40325))),f327(f177(f835(x40323)),f327(f123(x40323,f327(f77(x40321,a831,x40323,x40322),x40324)),x40325))) % 153.71/153.54 [4171]E(f327(f327(f100(f841(x41711,a831)),f327(f327(f3(f841(x41711,a831)),f165(x41711,x41712,x41713)),f327(f251(x41711),f327(f327(f9(x41711,f841(x41711,a831),a831),f329(x41711)),f327(f327(f3(f841(x41711,a831)),x41714),f165(x41711,x41712,x41715)))))),f327(f251(x41711),f327(f327(f9(x41711,f841(x41711,a831),a831),f329(x41711)),f327(f327(f101(f841(x41711,a831)),x41714),f165(x41711,x41712,x41715))))),f165(x41711,x41712,f80(x41711,f838(x41712),x41713,x41715,x41714))) % 153.71/153.54 [4244]E(f327(f140(f835(f840(x42441,x42442)),x42442,f112(f840(x42441,x42442)),f327(f327(f9(x42442,f841(f835(x42442),f835(f840(x42441,x42442))),f841(f835(x42442),f835(f840(x42441,x42442)))),f327(f327(f10(f841(f835(f840(x42441,x42442)),f835(f840(x42441,x42442))),f841(f841(f835(x42442),f835(f840(x42441,x42442))),f841(f835(x42442),f835(f840(x42441,x42442)))),x42442),f10(f835(f840(x42441,x42442)),f835(f840(x42441,x42442)),f835(x42442))),f327(f327(f10(f840(x42441,x42442),f841(f835(f840(x42441,x42442)),f835(f840(x42441,x42442))),x42442),f136(f840(x42441,x42442))),f327(f236(x42441,x42442),x42443)))),f327(f163(x42441,x42442),x42444))),x42445),f327(f327(f163(x42441,x42442),f327(f327(f136(x42441),x42443),x42444)),x42445)) % 153.71/153.54 [3726]E(f327(f327(f143(x37261,f327(f327(f143(x37261,x37262),x37263),x37264)),x37263),x37265),f327(f327(f143(x37261,x37262),x37263),x37265)) % 153.71/153.54 [3774]E(f327(f254(x37741,x37742),f327(f327(f297(f840(x37741,x37742)),f327(f327(f236(x37741,x37742),x37743),x37744)),x37745)),f327(f327(f297(x37742),x37744),f327(f254(x37741,x37742),x37745))) % 153.71/153.54 [3775]E(f327(f256(x37751,x37752),f327(f327(f297(f840(x37751,x37752)),f327(f327(f236(x37751,x37752),x37753),x37754)),x37755)),f327(f327(f297(x37751),x37753),f327(f256(x37751,x37752),x37755))) % 153.71/153.54 [3822]E(f119(x38221,x38222,f327(x38223,x38224),f327(f327(f9(x38221,a98,f836(f838(x38222))),x38225),x38224)),f327(f185(x38221,x38222,x38223,x38225),x38224)) % 153.71/153.54 [3852]E(f327(f327(f3(f841(f840(x38521,x38522),a831)),f327(f327(f243(x38521,x38522),x38523),x38524)),f327(f327(f243(x38521,x38522),x38525),x38524)),f327(f327(f243(x38521,x38522),f327(f327(f3(f841(x38521,a831)),x38523),x38525)),x38524)) % 153.71/153.54 [3853]E(f327(f327(f100(f841(f840(x38531,x38532),a831)),f327(f327(f243(x38531,x38532),x38533),x38534)),f327(f327(f243(x38531,x38532),x38535),x38534)),f327(f327(f243(x38531,x38532),f327(f327(f100(f841(x38531,a831)),x38533),x38535)),x38534)) % 153.71/153.54 [3854]E(f327(f327(f101(f841(f840(x38541,x38542),a831)),f327(f327(f243(x38541,x38542),x38543),x38544)),f327(f327(f243(x38541,x38542),x38545),x38544)),f327(f327(f243(x38541,x38542),f327(f327(f101(f841(x38541,a831)),x38543),x38545)),x38544)) % 153.71/153.54 [3917]E(f327(f327(f100(f841(x39171,a831)),f327(f327(f47(x39172,f841(x39171,a831)),x39173),x39174)),f327(f327(f47(x39172,f841(x39171,a831)),x39175),x39174)),f327(f327(f47(x39172,f841(x39171,a831)),f327(f327(f100(f841(x39172,a831)),x39173),x39175)),x39174)) % 153.71/153.54 [3918]E(f327(f327(f101(f841(x39181,a831)),f327(f327(f48(x39182,f841(x39181,a831)),x39183),x39184)),f327(f327(f48(x39182,f841(x39181,a831)),x39185),x39184)),f327(f327(f48(x39182,f841(x39181,a831)),f327(f327(f100(f841(x39182,a831)),x39183),x39185)),x39184)) % 153.71/153.54 [3932]E(f327(f327(f47(x39321,f841(x39322,a831)),x39323),f327(f327(f10(f841(x39322,a831),f841(x39322,a831),x39321),f327(f3(f841(x39322,a831)),x39324)),x39325)),f327(f327(f3(f841(x39322,a831)),x39324),f327(f327(f48(x39321,f841(x39322,a831)),x39323),x39325))) % 153.71/153.54 [3933]E(f327(f327(f47(x39331,f841(x39332,a831)),x39333),f327(f327(f10(f841(x39332,a831),f841(x39332,a831),x39331),f327(f101(f841(x39332,a831)),x39334)),x39335)),f327(f327(f101(f841(x39332,a831)),x39334),f327(f327(f47(x39331,f841(x39332,a831)),x39333),x39335))) % 153.71/153.54 [3934]E(f327(f327(f48(x39341,f841(x39342,a831)),x39343),f327(f327(f10(f841(x39342,a831),f841(x39342,a831),x39341),f327(f100(f841(x39342,a831)),x39344)),x39345)),f327(f327(f100(f841(x39342,a831)),x39344),f327(f327(f48(x39341,f841(x39342,a831)),x39343),x39345))) % 153.71/153.54 [3993]E(f171(f835(x39931),f327(f327(f136(x39931),x39932),x39933),f327(f327(f10(f835(x39931),f835(x39931),a834),f327(f136(x39931),x39934)),f327(f327(f9(a834,x39931,f835(x39931)),f143(x39931,x39933)),x39932)),x39935),f327(f327(f143(x39931,f327(f327(f136(x39931),x39934),x39933)),x39935),x39932)) % 153.71/153.54 [3997]E(f327(f327(f47(x39971,f841(f840(x39972,x39973),a831)),x39974),f327(f327(f10(f841(f840(x39973,x39972),a831),f841(f840(x39972,x39973),a831),x39971),f273(x39973,x39972)),x39975)),f327(f273(x39973,x39972),f327(f327(f47(x39971,f841(f840(x39973,x39972),a831)),x39974),x39975))) % 153.71/153.54 [3998]E(f327(f327(f48(x39981,f841(f840(x39982,x39983),a831)),x39984),f327(f327(f10(f841(f840(x39983,x39982),a831),f841(f840(x39982,x39983),a831),x39981),f273(x39983,x39982)),x39985)),f327(f273(x39983,x39982),f327(f327(f48(x39981,f841(f840(x39983,x39982),a831)),x39984),x39985))) % 153.71/153.54 [4051]E(f165(x40511,x40512,f327(f327(f20(x40511,f838(x40513),f838(x40512)),f327(f327(f10(f841(x40513,x40512),f841(f838(x40513),f838(x40512)),x40511),f191(x40513,x40512)),x40514)),x40515)),f165(x40511,x40513,x40515)) % 153.71/153.54 [4104]P134(f327(f327(f227(f841(x41041,a831)),f327(f327(f3(f841(x41041,a831)),f327(f298(x41042,x41041,x41043),x41044)),f327(f298(x41042,x41041,x41043),x41045))),f327(f298(x41042,x41041,x41043),f327(f327(f3(f841(x41042,a831)),x41044),x41045)))) % 153.71/153.54 [4248]E(f327(f140(f835(f840(x42481,x42482)),x42481,f112(f840(x42481,x42482)),f327(f327(f9(x42481,f841(f835(x42481),f835(f840(x42481,x42482))),f841(f835(x42481),f835(f840(x42481,x42482)))),f327(f327(f10(f841(f835(f840(x42481,x42482)),f835(f840(x42481,x42482))),f841(f841(f835(x42481),f835(f840(x42481,x42482))),f841(f835(x42481),f835(f840(x42481,x42482)))),x42481),f10(f835(f840(x42481,x42482)),f835(f840(x42481,x42482)),f835(x42481))),f327(f327(f10(f840(x42481,x42482),f841(f835(f840(x42481,x42482)),f835(f840(x42481,x42482))),x42481),f136(f840(x42481,x42482))),f327(f327(f9(x42481,x42482,f840(x42481,x42482)),f236(x42481,x42482)),x42483)))),f327(f327(f9(f835(x42481),f835(x42482),f835(f840(x42481,x42482))),f163(x42481,x42482)),x42484))),x42485),f327(f327(f163(x42481,x42482),x42485),f327(f327(f136(x42482),x42483),x42484))) % 153.71/153.54 [4263]E(f327(f128(f841(x42631,f838(x42632)),f840(x42631,x42632),f327(f327(f10(f841(x42631,f841(x42632,f841(x42631,f838(x42632)))),f841(f840(x42631,x42632),f841(x42631,f838(x42632))),f841(x42631,f838(x42632))),f246(x42631,x42632,f841(x42631,f838(x42632)))),f327(f327(f9(f841(x42631,f838(x42632)),f841(x42632,f838(x42632)),f841(x42631,f841(x42632,f841(x42631,f838(x42632))))),f327(f327(f10(f841(x42631,f841(f841(x42632,f838(x42632)),f841(x42632,f841(x42631,f838(x42632))))),f841(f841(x42632,f838(x42632)),f841(x42631,f841(x42632,f841(x42631,f838(x42632))))),f841(x42631,f838(x42632))),f9(x42631,f841(x42632,f838(x42632)),f841(x42632,f841(x42631,f838(x42632))))),f327(f327(f10(f841(x42631,f841(f838(x42632),f841(x42631,f838(x42632)))),f841(x42631,f841(f841(x42632,f838(x42632)),f841(x42632,f841(x42631,f838(x42632))))),f841(x42631,f838(x42632))),f327(f10(f841(f838(x42632),f841(x42631,f838(x42632))),f841(f841(x42632,f838(x42632)),f841(x42632,f841(x42631,f838(x42632)))),x42631),f10(f838(x42632),f841(x42631,f838(x42632)),x42632))),f76(x42631,f838(x42632))))),f222(x42632))),x42633),f327(f327(f163(x42631,x42632),x42634),x42635)),f166(x42631,x42632,x42633,f162(x42631,x42632,f327(f151(f840(x42631,x42632)),f327(f327(f163(x42631,x42632),x42634),x42635))))) % 153.71/153.54 [3958]E(f327(f327(f100(f841(x39581,a831)),f327(f272(x39582,x39581,x39583),x39584)),f327(f272(x39582,x39581,x39585),x39584)),f327(f272(x39582,x39581,f327(f327(f100(f841(f840(x39582,x39581),a831)),x39583),x39585)),x39584)) % 153.71/153.54 [4000]E(f327(f327(f122(f840(x40001,x40002)),f327(f327(f163(x40001,x40002),x40003),f327(f327(f155(x40002),f327(f177(f835(x40001)),x40003)),x40004))),f327(f327(f163(x40001,x40002),x40005),f327(f327(f125(x40002),f327(f177(f835(x40001)),x40003)),x40004))),f327(f327(f163(x40001,x40002),f327(f327(f122(x40001),x40003),x40005)),x40004)) % 153.71/153.54 [4029]E(f165(x40291,x40292,f166(x40291,x40292,x40293,f162(x40291,x40292,f327(f151(f840(x40291,x40292)),f327(f327(f163(x40291,x40292),x40294),x40295))))),f327(f327(f100(f841(x40291,a831)),f327(f154(x40291),f327(f327(f155(x40291),f327(f177(f835(x40292)),x40295)),x40294))),f165(x40291,x40292,x40293))) % 153.71/153.54 [4107]E(f327(f327(f243(x41071,x41072),x41073),f327(f327(f20(x41071,f841(x41072,a831),f841(x41072,a831)),f327(f327(f10(f841(x41072,a831),f841(f841(x41072,a831),f841(x41072,a831)),x41071),f3(f841(x41072,a831))),x41074)),x41075)),f327(f327(f3(f841(f840(x41071,x41072),a831)),f327(f327(f243(x41071,x41072),x41073),x41074)),f327(f327(f243(x41071,x41072),x41073),x41075))) % 153.71/153.54 [4108]E(f327(f327(f243(x41081,x41082),x41083),f327(f327(f20(x41081,f841(x41082,a831),f841(x41082,a831)),f327(f327(f10(f841(x41082,a831),f841(f841(x41082,a831),f841(x41082,a831)),x41081),f100(f841(x41082,a831))),x41084)),x41085)),f327(f327(f100(f841(f840(x41081,x41082),a831)),f327(f327(f243(x41081,x41082),x41083),x41084)),f327(f327(f243(x41081,x41082),x41083),x41085))) % 153.71/153.54 [4109]E(f327(f327(f243(x41091,x41092),x41093),f327(f327(f20(x41091,f841(x41092,a831),f841(x41092,a831)),f327(f327(f10(f841(x41092,a831),f841(f841(x41092,a831),f841(x41092,a831)),x41091),f101(f841(x41092,a831))),x41094)),x41095)),f327(f327(f101(f841(f840(x41091,x41092),a831)),f327(f327(f243(x41091,x41092),x41093),x41094)),f327(f327(f243(x41091,x41092),x41093),x41095))) % 153.71/153.54 [4113]E(f327(f327(f47(x41131,f841(x41132,a831)),x41133),f327(f327(f9(x41131,f841(x41132,a831),f841(x41132,a831)),f327(f327(f10(f841(x41132,a831),f841(f841(x41132,a831),f841(x41132,a831)),x41131),f3(f841(x41132,a831))),x41134)),x41135)),f327(f327(f3(f841(x41132,a831)),f327(f327(f47(x41131,f841(x41132,a831)),x41133),x41134)),x41135)) % 153.71/153.54 [4114]E(f327(f327(f47(x41141,f841(x41142,a831)),x41143),f327(f327(f9(x41141,f841(x41142,a831),f841(x41142,a831)),f327(f327(f10(f841(x41142,a831),f841(f841(x41142,a831),f841(x41142,a831)),x41141),f101(f841(x41142,a831))),x41144)),x41145)),f327(f327(f101(f841(x41142,a831)),f327(f327(f47(x41141,f841(x41142,a831)),x41143),x41144)),x41145)) % 153.71/153.54 [4115]E(f327(f327(f48(x41151,f841(x41152,a831)),x41153),f327(f327(f9(x41151,f841(x41152,a831),f841(x41152,a831)),f327(f327(f10(f841(x41152,a831),f841(f841(x41152,a831),f841(x41152,a831)),x41151),f100(f841(x41152,a831))),x41154)),x41155)),f327(f327(f100(f841(x41152,a831)),f327(f327(f48(x41151,f841(x41152,a831)),x41153),x41154)),x41155)) % 153.71/153.54 [4119]E(f327(f327(f47(x41191,f841(x41192,a831)),x41193),f327(f327(f20(x41191,f841(x41192,a831),f841(x41192,a831)),f327(f327(f10(f841(x41192,a831),f841(f841(x41192,a831),f841(x41192,a831)),x41191),f100(f841(x41192,a831))),x41194)),x41195)),f327(f327(f100(f841(x41192,a831)),f327(f327(f47(x41191,f841(x41192,a831)),x41193),x41194)),f327(f327(f47(x41191,f841(x41192,a831)),x41193),x41195))) % 153.71/153.54 [4120]E(f327(f327(f48(x41201,f841(x41202,a831)),x41203),f327(f327(f20(x41201,f841(x41202,a831),f841(x41202,a831)),f327(f327(f10(f841(x41202,a831),f841(f841(x41202,a831),f841(x41202,a831)),x41201),f101(f841(x41202,a831))),x41204)),x41205)),f327(f327(f101(f841(x41202,a831)),f327(f327(f48(x41201,f841(x41202,a831)),x41203),x41204)),f327(f327(f48(x41201,f841(x41202,a831)),x41203),x41205))) % 153.71/153.54 [4133]E(f327(f327(f47(x41331,f841(x41332,a831)),x41333),f327(f327(f20(x41331,f841(x41332,a831),f841(x41332,a831)),f327(f327(f10(f841(x41332,a831),f841(f841(x41332,a831),f841(x41332,a831)),x41331),f100(f841(x41332,a831))),x41334)),x41335)),f327(f327(f100(f841(x41332,a831)),f45(f841(x41332,a831),f327(f298(x41331,f841(x41332,a831),x41334),x41333))),f45(f841(x41332,a831),f327(f298(x41331,f841(x41332,a831),x41335),x41333)))) % 153.71/153.54 [4134]E(f327(f327(f48(x41341,f841(x41342,a831)),x41343),f327(f327(f20(x41341,f841(x41342,a831),f841(x41342,a831)),f327(f327(f10(f841(x41342,a831),f841(f841(x41342,a831),f841(x41342,a831)),x41341),f101(f841(x41342,a831))),x41344)),x41345)),f327(f327(f101(f841(x41342,a831)),f46(f841(x41342,a831),f327(f298(x41341,f841(x41342,a831),x41344),x41343))),f46(f841(x41342,a831),f327(f298(x41341,f841(x41342,a831),x41345),x41343)))) % 153.71/153.54 [4167]E(f327(f327(f125(x41671),f327(f177(f835(x41671)),f158(x41671,x41672,f327(f327(f138(x41673,x41671),x41674),x41675)))),f327(f327(f138(x41673,x41671),x41674),x41675)),f327(f327(f138(x41673,x41671),x41674),f327(f327(f125(x41673),f327(f177(f835(x41673)),f158(x41673,f327(f77(x41671,a831,x41673,x41672),x41674),x41675))),x41675))) % 153.71/153.54 [4041]E(f327(f327(f122(f840(x40411,x40412)),f327(f327(f163(x40411,x40412),f327(f327(f155(x40411),f327(f177(f835(x40412)),x40413)),x40414)),x40413)),f327(f327(f163(x40411,x40412),f327(f327(f125(x40411),f327(f177(f835(x40412)),x40413)),x40414)),x40415)),f327(f327(f163(x40411,x40412),x40414),f327(f327(f122(x40412),x40413),x40415))) % 153.71/153.54 [4159]E(f89(x41591,f327(f327(f20(x41591,a831,a831),f327(f327(f10(a831,f841(a831,a831),x41591),a325),f327(f327(f9(x41591,f841(x41591,a831),a831),f329(x41591)),x41592))),f327(f327(f9(x41591,x41593,a831),f327(f327(f10(x41593,f841(x41593,a831),x41591),a324),x41594)),x41595))),f327(f81(x41591,x41593,x41592,x41594),x41595)) % 153.71/153.54 [4210]E(f327(f327(f90(a1,x42101),f327(f103(a1),f327(f327(f84(a1),x42102),a96))),f327(f327(f20(a1,x42101,x42101),f327(f327(f9(a1,x42101,f841(x42101,x42101)),f327(f327(f10(a831,f841(x42101,f841(x42101,x42101)),a1),f95(x42101)),a182)),f171(x42101,x42103,x42104,x42105))),f327(f327(f10(a834,x42101,a1),x42104),f327(f327(f9(a1,a834,a834),f327(f327(f10(a834,f841(a834,a834),a1),f84(a834)),a104)),x42105)))),f171(x42101,x42103,x42104,f327(f327(f84(a834),f327(f103(a834),x42102)),x42105))) % 153.71/153.54 [4245]E(f162(x42451,x42452,f327(f327(f138(f840(x42451,x42453),f840(x42451,x42452)),f327(f246(x42451,x42453,f840(x42451,x42452)),f327(f327(f9(x42451,f841(x42453,x42452),f841(x42453,f840(x42451,x42452))),f327(f327(f10(f841(x42452,f840(x42451,x42452)),f841(f841(x42453,x42452),f841(x42453,f840(x42451,x42452))),x42451),f10(x42452,f840(x42451,x42452),x42453)),f236(x42451,x42452))),x42454))),x42455)),f327(f77(f838(x42453),f838(x42452),x42451,f327(f191(x42453,x42452),x42454)),f162(x42451,x42453,x42455))) % 153.71/153.54 [4203]E(f165(x42031,x42032,f327(f327(f20(x42031,f838(x42032),f838(x42032)),f327(f327(f20(x42031,f838(x42032),f841(f838(x42032),f838(x42032))),f327(f327(f10(a831,f841(f838(x42032),f841(f838(x42032),f838(x42032))),x42031),f95(f838(x42032))),x42033)),x42034)),x42035)),f327(f327(f100(f841(x42031,a831)),f327(f327(f101(f841(x42031,a831)),f165(x42031,x42032,x42034)),f327(f251(x42031),x42033))),f327(f327(f101(f841(x42031,a831)),f165(x42031,x42032,x42035)),f327(f251(x42031),f327(f327(f10(a831,a831,x42031),a323),x42033))))) % 153.71/153.54 [4243]E(f327(f327(f90(a1,x42431),f327(f103(a1),f327(f327(f84(a1),x42432),a96))),f327(f327(f20(a1,x42431,x42431),f327(f327(f9(a1,x42431,f841(x42431,x42431)),f327(f327(f10(a831,f841(x42431,f841(x42431,x42431)),a1),f95(x42431)),a182)),f327(f170(x42431,x42433,x42434),x42435))),f327(f327(f20(a1,x42431,x42431),f327(f327(f10(a834,f841(x42431,x42431),a1),x42434),f327(f327(f9(a1,a834,a834),f327(f327(f10(a834,f841(a834,a834),a1),f84(a834)),a104)),x42435))),f327(f327(f10(a834,x42431,a1),f170(x42431,x42433,x42434)),f327(f327(f9(a1,a834,a834),f327(f327(f10(a834,f841(a834,a834),a1),f84(a834)),a104)),x42435))))),f327(f170(x42431,x42433,x42434),f327(f327(f84(a834),f327(f103(a834),x42432)),x42435))) % 153.71/153.54 [4289]E(f327(f251(f840(x42891,x42892)),f327(f246(x42891,x42892,a831),f327(f327(f10(f841(x42892,f841(x42893,a831)),f841(x42892,a831),x42891),f327(f10(f841(x42893,a831),a831,x42892),f91(x42893))),f327(f327(f9(x42891,f841(x42892,f841(x42893,a831)),f841(x42892,f841(x42893,a831))),f327(f327(f10(f841(f841(x42893,a831),f841(x42893,a831)),f841(f841(x42892,f841(x42893,a831)),f841(x42892,f841(x42893,a831))),x42891),f10(f841(x42893,a831),f841(x42893,a831),x42892)),f327(f327(f10(f841(x42893,f841(a831,a831)),f841(f841(x42893,a831),f841(x42893,a831)),x42891),f20(x42893,a831,a831)),f327(f327(f10(f841(x42893,a831),f841(x42893,f841(a831,a831)),x42891),f327(f10(a831,f841(a831,a831),x42893),a325)),f327(f327(f9(x42891,f841(f840(x42891,x42893),a831),f841(x42893,a831)),f327(f327(f10(f841(x42893,f841(f841(f840(x42891,x42893),a831),a831)),f841(f841(f840(x42891,x42893),a831),f841(x42893,a831)),x42891),f9(x42893,f841(f840(x42891,x42893),a831),a831)),f327(f327(f10(f841(x42893,f840(x42891,x42893)),f841(x42893,f841(f841(f840(x42891,x42893),a831),a831)),x42891),f327(f10(f840(x42891,x42893),f841(f841(f840(x42891,x42893),a831),a831),x42893),f329(f840(x42891,x42893)))),f236(x42891,x42893)))),x42894))))),f327(f327(f9(x42892,f841(f840(x42893,x42892),a831),f841(x42893,a831)),f327(f327(f10(f841(x42893,f841(f841(f840(x42893,x42892),a831),a831)),f841(f841(f840(x42893,x42892),a831),f841(x42893,a831)),x42892),f9(x42893,f841(f840(x42893,x42892),a831),a831)),f327(f327(f10(f841(x42893,f840(x42893,x42892)),f841(x42893,f841(f841(f840(x42893,x42892),a831),a831)),x42892),f327(f10(f840(x42893,x42892),f841(f841(f840(x42893,x42892),a831),a831),x42893),f329(f840(x42893,x42892)))),f327(f9(x42893,x42892,f840(x42893,x42892)),f236(x42893,x42892))))),x42895))))),f327(f327(f276(x42891,x42893,x42892),x42894),x42895)) % 153.71/153.54 [4390]~E(f31(x43901,x43902,x43903),f33(x43904,x43905,x43906)) % 153.71/153.54 [4393]~E(f32(x43931,x43932,x43933),f33(x43934,x43935,x43936)) % 153.71/153.54 [4394]~E(f32(x43941,x43942,x43943),f31(x43944,x43945,x43946)) % 153.71/153.54 [3884]E(f213(x38841,x38842,x38843,x38844,f210(x38841,x38842,x38845,x38846)),f327(f327(x38844,x38845),x38846)) % 153.71/153.54 [3885]E(f214(x38851,x38852,x38853,x38854,f210(x38851,x38852,x38855,x38856)),f327(f327(x38854,x38855),x38856)) % 153.71/153.54 [4149]E(f327(f77(f840(x41491,x41492),x41492,f840(x41493,x41494),f245(x41491,x41492)),f247(x41493,x41491,x41494,x41492,x41495,x41496)),f327(f77(x41494,x41492,f840(x41493,x41494),x41496),f245(x41493,x41494))) % 153.71/153.54 [4150]E(f327(f77(f840(x41501,x41502),x41501,f840(x41503,x41504),f235(x41501,x41502)),f247(x41503,x41501,x41504,x41502,x41505,x41506)),f327(f77(x41503,x41501,f840(x41503,x41504),x41505),f235(x41503,x41504))) % 153.71/153.54 [3750]E(f327(f327(f77(x37501,x37502,x37503,x37504),x37505),x37506),f327(x37504,f327(x37505,x37506))) % 153.71/153.54 [3947]E(f215(x39471,x39472,x39473,x39474,f210(x39471,x39472,x39475,x39476)),f327(f327(f84(a834),f327(f327(f84(a834),f327(x39473,x39475)),f327(x39474,x39476))),f327(a111,f2(a834)))) % 153.71/153.54 [3969]E(f327(f314(x39691,x39692,x39693,x39694,x39695),f327(f299(x39691,x39693),x39696)),f327(x39694,x39696)) % 153.71/153.54 [3970]E(f327(f314(x39701,x39702,x39703,x39704,x39705),f327(f308(x39703,x39701),x39706)),f327(x39705,x39706)) % 153.71/153.54 [4065]E(f315(x40651,x40652,x40653,x40654,x40655,f327(f299(x40651,x40653),x40656)),f327(x40654,x40656)) % 153.71/153.54 [4066]E(f315(x40661,x40662,x40663,x40664,x40665,f327(f308(x40663,x40661),x40666)),f327(x40665,x40666)) % 153.71/153.54 [3552]E(f327(f327(f246(x35521,x35522,x35523),x35524),f327(f327(f236(x35521,x35522),x35525),x35526)),f327(f327(x35524,x35525),x35526)) % 153.71/153.54 [3613]E(f327(f327(f327(f10(x36131,x36132,x36133),x36134),x36135),x36136),f327(x36134,f327(x36135,x36136))) % 153.71/153.54 [3614]E(f327(f327(f327(f9(x36141,x36142,x36143),x36144),x36145),x36146),f327(f327(x36144,x36146),x36145)) % 153.71/153.54 [3628]E(f327(f327(f327(f20(x36281,x36282,x36283),x36284),x36285),x36286),f327(f327(x36284,x36286),f327(x36285,x36286))) % 153.71/153.54 [3652]E(f327(f140(x36521,x36522,x36523,x36524),f327(f327(f136(x36522),x36525),x36526)),f327(f327(x36524,x36525),x36526)) % 153.71/153.54 [3753]E(f327(f327(f136(f840(x37531,x37532)),f327(f327(f236(x37531,x37532),x37533),x37534)),f327(f327(f163(x37531,x37532),x37535),x37536)),f327(f327(f163(x37531,x37532),f327(f327(f136(x37531),x37533),x37535)),f327(f327(f136(x37532),x37534),x37536))) % 153.71/153.54 [3755]E(f327(f327(f138(x37551,x37552),x37553),f327(f327(f143(x37551,x37554),x37555),x37556)),f327(f327(f143(x37552,f327(f327(f138(x37551,x37552),x37553),x37554)),x37555),f327(x37553,x37556))) % 153.71/153.54 [3778]E(f327(f327(f244(x37781,x37782,x37783,x37784),x37785),x37786),f327(x37784,f327(f327(f236(x37781,x37782),x37785),x37786))) % 153.71/153.54 [3794]E(f327(f128(x37941,x37942,x37943,x37944),f327(f327(f136(x37942),x37945),x37946)),f327(f128(x37941,x37942,x37943,f327(f327(x37943,x37944),x37945)),x37946)) % 153.71/153.54 [3823]E(f249(x38231,x38232,x38233,x38234,f327(f327(f236(x38231,x38232),x38235),x38236)),f327(f327(x38234,x38235),x38236)) % 153.71/153.54 [3910]E(f327(f327(f47(x39101,f841(x39102,a831)),x39103),f327(f77(x39104,f841(x39102,a831),x39101,x39105),x39106)),f327(f327(f47(x39104,f841(x39102,a831)),f327(f298(x39101,x39104,x39106),x39103)),x39105)) % 153.71/153.54 [3961]E(f327(f327(f138(x39611,x39612),x39613),f327(f327(f138(x39614,x39611),x39615),x39616)),f327(f327(f138(x39614,x39612),f327(f77(x39611,x39612,x39614,x39613),x39615)),x39616)) % 153.71/153.54 [3963]E(f327(f327(f191(x39631,x39632),x39633),f327(f327(f191(x39634,x39631),x39635),x39636)),f327(f327(f191(x39634,x39632),f327(f77(x39631,x39632,x39634,x39633),x39635)),x39636)) % 153.71/153.54 [3967]E(f327(f298(x39671,x39672,f327(f77(x39673,x39672,x39671,x39674),x39675)),x39676),f327(f298(x39673,x39672,x39674),f327(f298(x39671,x39673,x39675),x39676))) % 153.71/153.54 [3968]E(f327(f300(x39681,x39682,f327(f77(x39683,x39682,x39681,x39684),x39685)),x39686),f327(f300(x39681,x39683,x39685),f327(f300(x39683,x39682,x39684),x39686))) % 153.71/153.54 [3999]E(f166(x39991,x39992,x39993,f327(f327(f327(f76(x39991,f838(x39992)),x39994),x39995),f327(f222(x39992),x39996))),f327(f327(f327(f76(x39991,f838(x39992)),f166(x39991,x39992,x39993,x39994)),x39995),f327(f222(x39992),x39996))) % 153.71/153.54 [4001]E(f327(f128(x40011,x40012,x40013,f327(f128(x40011,x40012,x40013,x40014),x40015)),x40016),f327(f128(x40011,x40012,x40013,x40014),f327(f327(f122(x40012),x40015),x40016))) % 153.71/153.54 [4139]E(f327(f247(x41391,x41391,x41392,x41393,f39(x41391),x41394),f327(f327(f236(x41391,x41392),x41395),x41396)),f327(f327(f236(x41391,x41393),x41395),f327(x41394,x41396))) % 153.71/153.54 [4140]E(f327(f247(x41401,x41402,x41403,x41403,x41404,f39(x41403)),f327(f327(f236(x41401,x41403),x41405),x41406)),f327(f327(f236(x41402,x41403),f327(x41404,x41405)),x41406)) % 153.71/153.54 [4227]E(f327(f327(f138(f840(x42271,x42272),f840(x42271,x42273)),f327(f246(x42271,x42272,f840(x42271,x42273)),f327(f327(f9(x42271,f841(x42272,x42273),f841(x42272,f840(x42271,x42273))),f327(f327(f10(f841(x42273,f840(x42271,x42273)),f841(f841(x42272,x42273),f841(x42272,f840(x42271,x42273))),x42271),f10(x42273,f840(x42271,x42273),x42272)),f236(x42271,x42273))),x42274))),f327(f327(f163(x42271,x42272),x42275),x42276)),f327(f327(f163(x42271,x42273),x42275),f327(f327(f138(x42272,x42273),x42274),x42276))) % 153.71/153.54 [3805]E(f327(f327(f77(x38051,x38052,x38053,f327(f18(x38052,x38051),x38054)),x38055),x38056),x38054) % 153.71/153.54 [3842]E(f327(f298(x38421,x38422,x38423),f327(f298(x38424,x38421,x38425),x38426)),f327(f298(x38424,x38422,f327(f327(f10(x38421,x38422,x38424),x38423),x38425)),x38426)) % 153.71/153.54 [3848]E(f327(f327(f47(x38481,f841(x38482,a831)),f327(f298(x38483,x38481,x38484),x38485)),x38486),f327(f327(f47(x38483,f841(x38482,a831)),x38485),f327(f327(f10(x38481,f841(x38482,a831),x38483),x38486),x38484))) % 153.71/153.54 [3849]E(f327(f327(f48(x38491,f841(x38492,a831)),f327(f298(x38493,x38491,x38494),x38495)),x38496),f327(f327(f48(x38493,f841(x38492,a831)),x38495),f327(f327(f10(x38491,f841(x38492,a831),x38493),x38496),x38494))) % 153.71/153.54 [3850]E(f327(f327(f47(x38501,f841(x38502,a831)),x38503),f327(f327(f10(x38504,f841(x38502,a831),x38501),x38505),x38506)),f327(f327(f47(x38504,f841(x38502,a831)),f327(f298(x38501,x38504,x38506),x38503)),x38505)) % 153.71/153.54 [3851]E(f327(f327(f48(x38511,f841(x38512,a831)),x38513),f327(f327(f10(x38514,f841(x38512,a831),x38511),x38515),x38516)),f327(f327(f48(x38514,f841(x38512,a831)),f327(f298(x38511,x38514,x38516),x38513)),x38515)) % 153.71/153.54 [3912]E(f327(f327(f47(x39121,f841(x39122,a831)),x39123),f327(f327(f10(f841(x39124,a831),f841(x39122,a831),x39121),f298(x39124,x39122,x39125)),x39126)),f327(f298(x39124,x39122,x39125),f327(f327(f47(x39121,f841(x39124,a831)),x39123),x39126))) % 153.71/153.54 [3913]E(f327(f327(f47(x39131,f841(x39132,a831)),x39133),f327(f327(f10(f841(x39134,a831),f841(x39132,a831),x39131),f272(x39134,x39132,x39135)),x39136)),f327(f272(x39134,x39132,x39135),f327(f327(f47(x39131,f841(x39134,a831)),x39133),x39136))) % 153.71/153.54 [3914]E(f327(f327(f47(x39141,f841(x39142,a831)),x39143),f327(f327(f10(f841(x39144,a831),f841(x39142,a831),x39141),f300(x39142,x39144,x39145)),x39146)),f327(f300(x39142,x39144,x39145),f327(f327(f47(x39141,f841(x39144,a831)),x39143),x39146))) % 153.71/153.54 [3915]E(f327(f327(f48(x39151,f841(x39152,a831)),x39153),f327(f327(f10(f841(x39154,a831),f841(x39152,a831),x39151),f300(x39152,x39154,x39155)),x39156)),f327(f300(x39152,x39154,x39155),f327(f327(f48(x39151,f841(x39154,a831)),x39153),x39156))) % 153.71/153.54 [4006]E(f327(f128(x40061,x40062,f327(f9(x40062,x40061,x40061),x40063),x40064),f327(f151(x40062),f327(f327(f136(x40062),x40065),x40066))),f327(f327(x40063,x40065),f327(f128(x40061,x40062,f327(f9(x40062,x40061,x40061),x40063),x40064),f327(f151(x40062),x40066)))) % 153.71/153.54 [4067]E(f327(f327(f20(f840(x40671,x40672),x40672,x40673),f327(f327(f10(x40674,f841(x40672,x40673),f840(x40671,x40672)),x40675),f327(f327(f10(x40671,x40674,f840(x40671,x40672)),x40676),f235(x40671,x40672)))),f245(x40671,x40672)),f327(f246(x40671,x40672,x40673),f327(f327(f10(x40674,f841(x40672,x40673),x40671),x40675),x40676))) % 153.71/153.54 [4074]E(f327(f128(x40741,x40742,f327(f9(x40742,x40741,x40741),x40743),f327(f128(x40741,x40742,f327(f9(x40742,x40741,x40741),x40743),x40744),f327(f151(x40742),x40745))),f327(f151(x40742),x40746)),f327(f128(x40741,x40742,f327(f9(x40742,x40741,x40741),x40743),x40744),f327(f151(x40742),f327(f327(f122(x40742),x40746),x40745)))) % 153.71/153.54 [4076]E(f327(f327(f138(f840(x40761,x40762),f840(x40763,x40762)),f327(f246(x40761,x40762,f840(x40763,x40762)),f327(f327(f10(x40763,f841(x40762,f840(x40763,x40762)),x40761),f236(x40763,x40762)),x40764))),f327(f327(f163(x40761,x40762),x40765),x40766)),f327(f327(f163(x40763,x40762),f327(f327(f138(x40761,x40763),x40764),x40765)),x40766)) % 153.71/153.54 [4122]P134(f327(f327(f227(f841(x41221,a831)),f327(f272(x41222,x41221,x41223),f327(f327(f48(x41224,f841(x41222,a831)),x41225),x41226))),f327(f327(f48(x41224,f841(x41221,a831)),x41225),f327(f327(f10(f841(x41222,a831),f841(x41221,a831),x41224),f272(x41222,x41221,x41223)),x41226)))) % 153.71/153.54 [3925]E(f327(f327(f163(x39251,x39252),f327(f327(f143(x39251,x39253),x39254),f327(f235(x39251,x39252),x39255))),f327(f327(f143(x39252,x39256),x39254),f327(f245(x39251,x39252),x39255))),f327(f327(f143(f840(x39251,x39252),f327(f327(f163(x39251,x39252),x39253),x39256)),x39254),x39255)) % 153.71/153.54 [3988]E(f327(f327(f100(f841(f840(x39881,x39882),a831)),f327(f327(f276(x39881,x39883,x39882),x39884),x39885)),f327(f327(f276(x39881,x39883,x39882),x39884),x39886)),f327(f327(f276(x39881,x39883,x39882),x39884),f327(f327(f100(f841(f840(x39883,x39882),a831)),x39885),x39886))) % 153.71/153.54 [4088]E(f327(f327(f297(f840(x40881,x40882)),f327(f327(f236(x40881,x40882),x40883),x40884)),f327(f327(f100(f841(f840(x40881,x40882),a831)),f327(f327(f243(x40881,x40882),x40885),f327(f18(f841(x40882,a831),x40881),f327(f327(f297(x40882),x40884),x40886)))),f327(f327(f243(x40881,x40882),f327(f327(f297(x40881),x40883),x40885)),f327(f18(f841(x40882,a831),x40881),x40886)))),f327(f327(f243(x40881,x40882),f327(f327(f297(x40881),x40883),x40885)),f327(f18(f841(x40882,a831),x40881),f327(f327(f297(x40882),x40884),x40886)))) % 153.71/153.54 [4162]E(f327(f327(f101(f841(x41621,a831)),f327(f300(x41621,x41622,f327(f77(f840(x41622,x41623),x41622,x41621,f235(x41622,x41623)),x41624)),x41625)),f327(f300(x41621,x41623,f327(f77(f840(x41622,x41623),x41623,x41621,f245(x41622,x41623)),x41624)),x41626)),f327(f300(x41621,f840(x41622,x41623),x41624),f327(f327(f243(x41622,x41623),x41625),f327(f18(f841(x41623,a831),x41622),x41626)))) % 153.71/153.54 [3909]E(f327(f327(f327(f76(x39091,x39092),f327(f327(f327(f76(x39091,x39092),x39093),x39094),x39095)),x39094),x39096),f327(f327(f327(f76(x39091,x39092),x39093),x39094),x39096)) % 153.71/153.54 [4012]E(f327(f327(f100(f841(f840(x40121,x40122),a831)),f327(f327(f276(x40121,x40123,x40122),x40124),x40125)),f327(f327(f276(x40121,x40123,x40122),x40126),x40125)),f327(f327(f276(x40121,x40123,x40122),f327(f327(f100(f841(f840(x40121,x40123),a831)),x40124),x40126)),x40125)) % 153.71/153.54 [4147]E(f327(f327(f47(x41471,f841(x41472,a831)),x41473),f327(f327(f9(x41471,f841(x41474,f841(x41472,a831)),f841(x41472,a831)),f327(f327(f10(f841(x41474,a831),f841(f841(x41474,f841(x41472,a831)),f841(x41472,a831)),x41471),f47(x41474,f841(x41472,a831))),x41475)),x41476)),f327(f327(f47(x41474,f841(x41472,a831)),f327(f327(f47(x41471,f841(x41474,a831)),x41473),x41475)),x41476)) % 153.71/153.54 [4148]E(f327(f327(f48(x41481,f841(x41482,a831)),x41483),f327(f327(f9(x41481,f841(x41484,f841(x41482,a831)),f841(x41482,a831)),f327(f327(f10(f841(x41484,a831),f841(f841(x41484,f841(x41482,a831)),f841(x41482,a831)),x41481),f48(x41484,f841(x41482,a831))),x41485)),x41486)),f327(f327(f48(x41484,f841(x41482,a831)),f327(f327(f47(x41481,f841(x41484,a831)),x41483),x41485)),x41486)) % 153.71/153.54 [4198]E(f327(f246(x41981,x41982,f840(x41983,x41984)),f327(f327(f9(x41981,f841(x41982,x41984),f841(x41982,f840(x41983,x41984))),f327(f327(f10(f841(x41984,f840(x41983,x41984)),f841(f841(x41982,x41984),f841(x41982,f840(x41983,x41984))),x41981),f10(x41984,f840(x41983,x41984),x41982)),f327(f327(f10(x41983,f841(x41984,f840(x41983,x41984)),x41981),f236(x41983,x41984)),x41985))),x41986)),f247(x41981,x41983,x41982,x41984,x41985,x41986)) % 153.71/153.54 [4121]E(f327(f327(f327(f76(x41211,f838(x41212)),f168(x41211,x41212,x41213,f327(f327(f3(f841(x41211,a831)),x41214),f327(f327(f297(x41211),x41215),f176(f841(x41211,a831)))))),x41215),x41216),f327(f327(f327(f76(x41211,f838(x41212)),f168(x41211,x41212,x41213,x41214)),x41215),x41216)) % 153.71/153.54 [4222]E(f327(f298(x42221,x42222,f327(f327(f20(x42221,x42222,x42222),f327(f327(f20(x42221,x42222,f841(x42222,x42222)),f327(f327(f10(a831,f841(x42222,f841(x42222,x42222)),x42221),f95(x42222)),x42223)),x42224)),x42225)),x42226),f327(f327(f100(f841(x42222,a831)),f327(f298(x42221,x42222,x42224),f327(f327(f101(f841(x42221,a831)),x42226),f327(f251(x42221),x42223)))),f327(f298(x42221,x42222,x42225),f327(f327(f101(f841(x42221,a831)),x42226),f327(f251(x42221),f327(f327(f10(a831,a831,x42221),a323),x42223)))))) % 153.71/153.54 [4233]E(f327(f298(x42331,f840(x42332,x42333),f327(f327(f20(x42331,x42333,f840(x42332,x42333)),f327(f327(f10(x42332,f841(x42333,f840(x42332,x42333)),x42331),f236(x42332,x42333)),x42334)),x42335)),x42336),f327(f327(f243(x42332,x42333),f327(f298(x42331,x42332,x42334),x42336)),f327(f327(f10(f841(x42331,a831),f841(x42333,a831),x42332),f298(x42331,x42333,x42335)),f327(f327(f9(x42332,f841(x42331,a831),f841(x42331,a831)),f327(f327(f10(f841(x42331,a831),f841(f841(x42331,a831),f841(x42331,a831)),x42332),f101(f841(x42331,a831))),f327(f327(f10(f841(x42332,a831),f841(x42331,a831),x42332),f300(x42331,x42332,x42334)),f327(f327(f9(x42332,f841(x42332,a831),f841(x42332,a831)),f297(x42332)),f176(f841(x42332,a831)))))),x42336)))) % 153.71/153.54 [4181]E(f327(f245(x41811,x41812),f327(f247(x41813,x41811,x41814,x41812,x41815,x41816),x41817)),f327(x41816,f327(f245(x41813,x41814),x41817))) % 153.71/153.54 [4182]E(f327(f235(x41821,x41822),f327(f247(x41823,x41821,x41824,x41822,x41825,x41826),x41827)),f327(x41825,f327(f235(x41823,x41824),x41827))) % 153.71/153.54 [3886]E(f327(f327(f163(x38861,x38862),f327(f327(f143(x38861,x38863),x38864),x38865)),f327(f327(f143(x38862,x38866),x38864),x38867)),f327(f327(f143(f840(x38861,x38862),f327(f327(f163(x38861,x38862),x38863),x38866)),x38864),f327(f327(f236(x38861,x38862),x38865),x38867))) % 153.71/153.54 [3956]E(f327(f327(f327(f248(x39561,x39562,x39563,x39564),x39565),x39566),x39567),f327(f327(f246(x39562,x39563,x39564),x39566),f327(x39565,x39567))) % 153.71/153.54 [3966]E(f327(f327(f327(f248(x39661,x39662,x39663,x39664),x39665),x39666),x39667),f327(f327(x39666,f327(f235(x39662,x39663),f327(x39665,x39667))),f327(f245(x39662,x39663),f327(x39665,x39667)))) % 153.71/153.54 [4019]E(f327(f77(x40191,x40192,x40193,x40194),f327(f77(x40195,x40191,x40193,x40196),x40197)),f327(f77(x40195,x40192,x40193,f327(f77(x40191,x40192,x40195,x40194),x40196)),x40197)) % 153.71/153.54 [4083]E(f327(f77(f838(x40831),f838(x40832),x40833,f327(f191(x40831,x40832),x40834)),f327(f327(f327(f76(x40833,f838(x40831)),x40835),x40836),f327(f222(x40831),x40837))),f327(f327(f327(f76(x40833,f838(x40832)),f327(f77(f838(x40831),f838(x40832),x40833,f327(f191(x40831,x40832),x40834)),x40835)),x40836),f327(f222(x40832),f327(x40834,x40837)))) % 153.71/153.54 [4205]E(f327(f247(x42051,x42052,x42053,x42053,x42054,f39(x42053)),f327(f247(x42051,x42051,x42055,x42053,f39(x42051),x42056),x42057)),f327(f327(f236(x42052,x42053),f327(x42054,f327(f235(x42051,x42055),x42057))),f327(x42056,f327(f245(x42051,x42055),x42057)))) % 153.71/153.54 [4206]E(f327(f247(x42061,x42061,x42062,x42063,f39(x42061),x42064),f327(f247(x42065,x42061,x42062,x42062,x42066,f39(x42062)),x42067)),f327(f327(f236(x42061,x42063),f327(x42066,f327(f235(x42065,x42062),x42067))),f327(x42064,f327(f245(x42065,x42062),x42067)))) % 153.71/153.54 [4220]E(f327(f247(x42201,x42202,x42203,x42203,x42204,f39(x42203)),f327(f247(x42205,x42201,x42203,x42203,x42206,f39(x42203)),x42207)),f327(f247(x42205,x42202,x42203,x42203,f327(f77(x42201,x42202,x42205,x42204),x42206),f39(x42203)),x42207)) % 153.71/153.54 [4221]E(f327(f247(x42211,x42211,x42212,x42213,f39(x42211),x42214),f327(f247(x42211,x42211,x42215,x42212,f39(x42211),x42216),x42217)),f327(f247(x42211,x42211,x42215,x42213,f39(x42211),f327(f77(x42212,x42213,x42215,x42214),x42216)),x42217)) % 153.71/153.54 [4230]E(f327(f247(x42301,x42302,x42303,x42303,x42304,f39(x42303)),f327(f247(x42301,x42301,x42305,x42303,f39(x42301),x42306),x42307)),f327(f247(x42302,x42302,x42305,x42303,f39(x42302),x42306),f327(f247(x42301,x42302,x42305,x42305,x42304,f39(x42305)),x42307))) % 153.71/153.54 [3922]E(f327(f327(f276(x39221,x39222,x39223),f327(f327(f276(x39221,x39224,x39222),x39225),x39226)),x39227),f327(f327(f276(x39221,x39224,x39223),x39225),f327(f327(f276(x39224,x39222,x39223),x39226),x39227))) % 153.71/153.54 [3994]E(f327(f327(f246(x39941,x39942,x39943),f327(f77(x39944,f841(x39942,x39943),x39941,x39945),x39946)),x39947),f327(f327(x39945,f327(x39946,f327(f235(x39941,x39942),x39947))),f327(f245(x39941,x39942),x39947))) % 153.71/153.54 [4044]E(f327(f77(x40441,x40442,x40443,x40444),f327(f327(f327(f76(x40443,x40441),x40445),x40446),x40447)),f327(f327(f327(f76(x40443,x40442),f327(f77(x40441,x40442,x40443,x40444),x40445)),x40446),f327(x40444,x40447))) % 153.71/153.54 [4079]E(f327(f128(x40791,x40792,f327(f9(x40792,x40791,x40791),x40793),x40794),f327(f151(x40792),f327(f327(f138(x40795,x40792),x40796),x40797))),f327(f128(x40791,x40795,f327(f9(x40795,x40791,x40791),f327(f77(x40792,f841(x40791,x40791),x40795,x40793),x40796)),x40794),f327(f151(x40795),x40797))) % 153.71/153.54 [4084]E(f314(x40841,f838(x40842),x40843,f327(f77(f838(x40844),f838(x40842),x40841,f327(f191(x40844,x40842),x40845)),x40846),f327(f77(f838(x40844),f838(x40842),x40843,f327(f191(x40844,x40842),x40845)),x40847)),f327(f77(f838(x40844),f838(x40842),f842(x40841,x40843),f327(f191(x40844,x40842),x40845)),f314(x40841,f838(x40844),x40843,x40846,x40847))) % 153.71/153.54 [4020]E(f327(f327(f47(x40201,f841(f840(x40202,x40203),a831)),x40204),f327(f327(f10(f841(f840(x40205,x40203),a831),f841(f840(x40202,x40203),a831),x40201),f327(f276(x40202,x40205,x40203),x40206)),x40207)),f327(f327(f276(x40202,x40205,x40203),x40206),f327(f327(f47(x40201,f841(f840(x40205,x40203),a831)),x40204),x40207))) % 153.71/153.54 [4055]E(f166(x40551,x40552,f327(f327(f327(f76(x40551,f838(x40552)),x40553),x40554),f327(f222(x40552),x40555)),f162(x40551,x40552,f327(f151(f840(x40551,x40552)),f327(f327(f163(x40551,x40552),x40556),x40557)))),f166(x40551,x40552,x40553,f162(x40551,x40552,f327(f151(f840(x40551,x40552)),f327(f327(f163(x40551,x40552),f327(f327(f136(x40551),x40554),x40556)),f327(f327(f136(x40552),x40555),x40557)))))) % 153.71/153.54 [4168]E(f327(f327(f47(x41681,f841(f840(x41682,x41683),a831)),x41684),f327(f327(f9(x41681,f841(f840(x41685,x41683),a831),f841(f840(x41682,x41683),a831)),f327(f327(f10(f841(f840(x41682,x41685),a831),f841(f841(f840(x41685,x41683),a831),f841(f840(x41682,x41683),a831)),x41681),f276(x41682,x41685,x41683)),x41686)),x41687)),f327(f327(f276(x41682,x41685,x41683),f327(f327(f47(x41681,f841(f840(x41682,x41685),a831)),x41684),x41686)),x41687)) % 153.71/153.54 [4169]E(f327(f128(x41691,x41692,f327(f327(f9(x41691,f841(x41692,x41693),f841(x41692,x41691)),f327(f327(f10(f841(x41693,x41691),f841(f841(x41692,x41693),f841(x41692,x41691)),x41691),f10(x41693,x41691,x41692)),x41694)),x41695),x41696),x41697),f327(f128(x41691,x41693,x41694,x41696),f327(f327(f138(x41692,x41693),x41695),x41697))) % 153.71/153.54 [4231]E(f327(f327(f48(x42311,f841(x42312,a831)),x42313),f327(f327(f10(f841(x42314,f841(x42312,a831)),f841(x42312,a831),x42311),f327(f48(x42314,f841(x42312,a831)),x42315)),f327(f327(f9(x42311,f841(x42314,f841(x42312,a831)),f841(x42314,f841(x42312,a831))),f327(f327(f10(f841(f841(x42312,a831),f841(x42312,a831)),f841(f841(x42314,f841(x42312,a831)),f841(x42314,f841(x42312,a831))),x42311),f10(f841(x42312,a831),f841(x42312,a831),x42314)),f327(f327(f10(f841(x42312,a831),f841(f841(x42312,a831),f841(x42312,a831)),x42311),f100(f841(x42312,a831))),x42316))),x42317))),f327(f327(f100(f841(x42312,a831)),f327(f327(f48(x42311,f841(x42312,a831)),x42313),x42316)),f327(f327(f48(x42314,f841(x42312,a831)),x42315),x42317))) % 153.71/153.54 [4232]E(f327(f327(f47(x42321,f841(x42322,a831)),x42323),f327(f327(f10(f841(x42324,f841(x42322,a831)),f841(x42322,a831),x42321),f327(f47(x42324,f841(x42322,a831)),x42325)),f327(f327(f9(x42321,f841(x42324,f841(x42322,a831)),f841(x42324,f841(x42322,a831))),f327(f327(f10(f841(f841(x42322,a831),f841(x42322,a831)),f841(f841(x42324,f841(x42322,a831)),f841(x42324,f841(x42322,a831))),x42321),f10(f841(x42322,a831),f841(x42322,a831),x42324)),f327(f327(f10(f841(x42322,a831),f841(f841(x42322,a831),f841(x42322,a831)),x42321),f101(f841(x42322,a831))),x42326))),x42327))),f327(f327(f101(f841(x42322,a831)),f327(f327(f47(x42321,f841(x42322,a831)),x42323),x42326)),f327(f327(f47(x42324,f841(x42322,a831)),x42325),x42327))) % 153.71/153.54 [4225]E(f187(x42251,x42252,f327(f327(f327(x42253,x42254),x42255),x42256),f327(f327(f9(x42251,f840(a98,a98),f841(a98,f836(x42252))),f327(f327(f9(x42251,a98,f841(f840(a98,a98),f841(a98,f836(x42252)))),f327(f327(f9(x42251,a98,f841(a98,f841(f840(a98,a98),f841(a98,f836(x42252))))),x42257),x42254)),x42255)),x42256)),f327(f327(f327(f199(x42251,x42252,x42253,x42257),x42254),x42255),x42256)) % 153.71/153.54 [4238]E(f188(x42381,x42382,f327(f327(f327(x42383,x42384),x42385),x42386),f327(f327(f9(x42381,f840(a98,a98),f841(a98,f836(x42382))),f327(f327(f9(x42381,a98,f841(f840(a98,a98),f841(a98,f836(x42382)))),f327(f327(f9(x42381,a98,f841(a98,f841(f840(a98,a98),f841(a98,f836(x42382))))),x42387),x42384)),x42385)),x42386)),f201(x42381,x42382,x42383,x42387,x42384,x42385,x42386)) % 153.71/153.54 [4229]E(f185(x42291,x42292,f327(f327(f327(x42293,x42294),x42295),x42296),f327(f327(f9(x42291,f840(a98,a98),f841(a98,f836(f838(x42292)))),f327(f327(f9(x42291,a98,f841(f840(a98,a98),f841(a98,f836(f838(x42292))))),f327(f327(f9(x42291,a98,f841(a98,f841(f840(a98,a98),f841(a98,f836(f838(x42292)))))),x42297),x42294)),x42295)),x42296)),f327(f327(f327(f196(x42291,x42292,x42293,x42297),x42294),x42295),x42296)) % 153.71/153.54 [4240]E(f186(x42401,x42402,f327(f327(f327(x42403,x42404),x42405),x42406),f327(f327(f9(x42401,f840(a98,a98),f841(a98,f836(f838(x42402)))),f327(f327(f9(x42401,a98,f841(f840(a98,a98),f841(a98,f836(f838(x42402))))),f327(f327(f9(x42401,a98,f841(a98,f841(f840(a98,a98),f841(a98,f836(f838(x42402)))))),x42407),x42404)),x42405)),x42406)),f198(x42401,x42402,x42403,x42407,x42404,x42405,x42406)) % 153.71/153.54 [4141]E(f327(f247(x41411,x41412,x41413,x41414,x41415,x41416),f327(f327(f236(x41411,x41413),x41417),x41418)),f327(f327(f236(x41412,x41414),f327(x41415,x41417)),f327(x41416,x41418))) % 153.71/153.54 [4242]E(f327(f327(f138(f840(x42421,x42422),f840(x42423,x42424)),f327(f246(x42421,x42422,f840(x42423,x42424)),f327(f327(f9(x42421,f841(x42422,x42424),f841(x42422,f840(x42423,x42424))),f327(f327(f10(f841(x42424,f840(x42423,x42424)),f841(f841(x42422,x42424),f841(x42422,f840(x42423,x42424))),x42421),f10(x42424,f840(x42423,x42424),x42422)),f327(f327(f10(x42423,f841(x42424,f840(x42423,x42424)),x42421),f236(x42423,x42424)),x42425))),x42426))),f327(f327(f163(x42421,x42422),x42427),x42428)),f327(f327(f163(x42423,x42424),f327(f327(f138(x42421,x42423),x42425),x42427)),f327(f327(f138(x42422,x42424),x42426),x42428))) % 153.71/153.54 [4246]E(f327(f327(f138(f840(x42461,x42462),x42463),f327(f246(x42461,x42462,x42463),f327(f327(f10(f841(x42462,f840(x42461,x42464)),f841(x42462,x42463),x42461),f327(f10(f840(x42461,x42464),x42463,x42462),x42465)),f327(f327(f9(x42461,f841(x42462,x42464),f841(x42462,f840(x42461,x42464))),f327(f327(f10(f841(x42464,f840(x42461,x42464)),f841(f841(x42462,x42464),f841(x42462,f840(x42461,x42464))),x42461),f10(x42464,f840(x42461,x42464),x42462)),f236(x42461,x42464))),x42466)))),f327(f327(f163(x42461,x42462),x42467),x42468)),f327(f327(f138(f840(x42461,x42464),x42463),x42465),f327(f327(f163(x42461,x42464),x42467),f327(f327(f138(x42462,x42464),x42466),x42468)))) % 153.71/153.54 [4173]E(f327(f327(f138(f840(x41731,x41732),x41733),f327(f246(x41731,x41732,x41733),f327(f327(f10(f841(x41732,f840(x41734,x41732)),f841(x41732,x41733),x41731),f327(f10(f840(x41734,x41732),x41733,x41732),x41735)),f327(f327(f10(x41734,f841(x41732,f840(x41734,x41732)),x41731),f236(x41734,x41732)),x41736)))),f327(f327(f163(x41731,x41732),x41737),x41738)),f327(f327(f138(f840(x41734,x41732),x41733),x41735),f327(f327(f163(x41734,x41732),f327(f327(f138(x41731,x41734),x41736),x41737)),x41738))) % 153.71/153.54 [4132]E(f327(f327(f246(x41321,x41322,x41323),f327(f327(f10(f841(x41322,f840(x41324,x41325)),f841(x41322,x41323),x41321),f327(f10(f840(x41324,x41325),x41323,x41322),f327(f246(x41324,x41325,x41323),x41326))),x41327)),x41328),f327(f327(f246(x41324,x41325,x41323),x41326),f327(f327(f246(x41321,x41322,f840(x41324,x41325)),x41327),x41328))) % 153.71/153.54 [4247]E(f327(f327(f47(f840(x42471,x42472),f841(f840(x42473,x42474),a831)),f327(f327(f243(x42471,x42472),x42475),f327(f18(f841(x42472,a831),x42471),x42476))),f327(f246(x42471,x42472,f841(f840(x42473,x42474),a831)),f327(f327(f9(x42471,f841(x42472,f841(x42473,f841(x42474,a831))),f841(x42472,f841(f840(x42473,x42474),a831))),f327(f327(f10(f841(f841(x42473,f841(x42474,a831)),f841(f840(x42473,x42474),a831)),f841(f841(x42472,f841(x42473,f841(x42474,a831))),f841(x42472,f841(f840(x42473,x42474),a831))),x42471),f10(f841(x42473,f841(x42474,a831)),f841(f840(x42473,x42474),a831),x42472)),f327(f327(f10(f841(x42473,a831),f841(f841(x42473,f841(x42474,a831)),f841(f840(x42473,x42474),a831)),x42471),f243(x42473,x42474)),x42477))),f327(f327(f10(f841(x42474,a831),f841(x42473,f841(x42474,a831)),x42472),f18(f841(x42474,a831),x42473)),x42478)))),f327(f327(f243(x42473,x42474),f327(f327(f47(x42471,f841(x42473,a831)),x42475),x42477)),f327(f18(f841(x42474,a831),x42473),f327(f327(f47(x42472,f841(x42474,a831)),x42476),x42478)))) % 153.71/153.54 [4274]E(f37(x42741,x42742,x42743,x42744,x42745,x42746,x42747,x42748,x42749,a25),x42742) % 153.71/153.54 [4275]E(f38(x42751,x42752,x42753,x42754,x42755,x42756,x42757,x42758,x42759,a25),x42752) % 153.71/153.54 [4187]E(f327(f327(f248(x41871,x41872,x41873,x41874),f327(f327(f248(x41871,x41875,x41876,f840(x41872,x41873)),x41877),x41878)),x41879),f327(f327(f248(x41871,x41875,x41876,x41874),x41877),f327(f327(f9(x41875,f841(x41872,f841(x41873,x41874)),f841(x41876,x41874)),f327(f327(f10(f841(x41876,f840(x41872,x41873)),f841(f841(x41872,f841(x41873,x41874)),f841(x41876,x41874)),x41875),f248(x41876,x41872,x41873,x41874)),x41878)),x41879))) % 153.71/153.54 [4276]E(f37(x42761,x42762,x42763,x42764,x42765,x42766,x42767,x42768,x42769,f26(x427610)),f327(x42768,x427610)) % 153.71/153.54 [4277]E(f38(x42771,x42772,x42773,x42774,x42775,x42776,x42777,x42778,x42779,f26(x427710)),f327(x42778,x427710)) % 153.71/153.54 [4218]E(f327(f77(f840(x42181,x42182),f840(x42183,x42184),f840(x42185,x42186),f247(x42181,x42183,x42182,x42184,x42187,x42188)),f247(x42185,x42181,x42186,x42182,x42189,x421810)),f247(x42185,x42183,x42186,x42184,f327(f77(x42181,x42183,x42185,x42187),x42189),f327(f77(x42182,x42184,x42186,x42188),x421810))) % 153.71/153.54 [4278]E(f37(x42781,x42782,x42783,x42784,x42785,x42786,x42787,x42788,x42789,f36(x427810,x427811)),f327(f327(x42785,x427810),x427811)) % 153.71/153.54 [4279]E(f37(x42791,x42792,x42793,x42794,x42795,x42796,x42797,x42798,x42799,f35(x427910,x427911)),f327(f327(x42797,x427910),x427911)) % 153.71/153.54 [4280]E(f37(x42801,x42802,x42803,x42804,x42805,x42806,x42807,x42808,x42809,f28(x428010,x428011)),f327(f327(x42803,x428010),x428011)) % 153.71/153.54 [4281]E(f38(x42811,x42812,x42813,x42814,x42815,x42816,x42817,x42818,x42819,f28(x428110,x428111)),f327(f327(x42813,x428110),x428111)) % 153.71/153.54 [4287]E(f327(f327(f327(x42871,x42872),x42873),f38(x42874,x42875,x42876,x42877,x42878,x42879,x42871,x428710,x428711,x42873)),f38(x42874,x42875,x42876,x42877,x42878,x42879,x42871,x428710,x428711,f35(x42872,x42873))) % 153.71/153.54 [4291]E(f327(f327(f327(f327(x42911,x42912),x42913),f38(x42914,x42915,x42916,x42917,x42911,x42918,x42919,x429110,x429111,x42912)),f38(x42914,x42915,x42916,x42917,x42911,x42918,x42919,x429110,x429111,x42913)),f38(x42914,x42915,x42916,x42917,x42911,x42918,x42919,x429110,x429111,f36(x42912,x42913))) % 153.71/153.54 [4223]E(f327(f247(x42231,x42232,x42233,x42234,x42235,x42236),f327(f247(x42237,x42231,x42238,x42233,x42239,x422310),x422311)),f327(f247(x42237,x42232,x42238,x42234,f327(f77(x42231,x42232,x42237,x42235),x42239),f327(f77(x42233,x42234,x42238,x42236),x422310)),x422311)) % 153.71/153.54 [4288]E(f327(f327(f327(f327(x42881,x42882),x42883),x42884),f38(x42885,x42886,x42887,x42881,x42888,x42889,x428810,x428811,x428812,x42884)),f38(x42885,x42886,x42887,x42881,x42888,x42889,x428810,x428811,x428812,f32(x42882,x42883,x42884))) % 153.71/153.54 [4292]E(f327(f327(f327(f327(f327(x42921,x42922),x42923),x42924),f38(x42925,x42926,x42927,x42928,x42929,x42921,x429210,x429211,x429212,x42923)),f38(x42925,x42926,x42927,x42928,x42929,x42921,x429210,x429211,x429212,x42924)),f38(x42925,x42926,x42927,x42928,x42929,x42921,x429210,x429211,x429212,f33(x42922,x42923,x42924))) % 153.71/153.54 [4282]E(f37(x42821,x42822,x42823,x42824,x42825,x42826,x42827,x42828,x42829,f33(x428210,x428211,x428212)),f327(f327(f327(x42826,x428210),x428211),x428212)) % 153.71/153.54 [4283]E(f37(x42831,x42832,x42833,x42834,x42835,x42836,x42837,x42838,x42839,f31(x428310,x428311,x428312)),f327(f327(f327(x42839,x428310),x428311),x428312)) % 153.71/153.54 [4284]E(f37(x42841,x42842,x42843,x42844,x42845,x42846,x42847,x42848,x42849,f32(x428410,x428411,x428412)),f327(f327(f327(x42844,x428410),x428411),x428412)) % 153.71/153.54 [4285]E(f38(x42851,x42852,x42853,x42854,x42855,x42856,x42857,x42858,x42859,f31(x428510,x428511,x428512)),f327(f327(f327(x42859,x428510),x428511),x428512)) % 153.71/153.54 [4431]P140(a582,a759)+P140(a760,a763) % 153.71/153.54 [4440]P140(a582,a759)+~P141(a760,a764) % 153.71/153.54 [4441]P140(a760,a763)+~P141(a582,a761) % 153.71/153.54 [4463]~P141(a582,a761)+~P141(a760,a764) % 153.71/153.54 [5529]P140(a582,a759)+P38(f26(a843),a763,f327(a111,a844),a764) % 153.71/153.54 [5572]~P141(a582,a761)+P38(f26(a843),a763,f327(a111,a844),a764) % 153.71/153.54 [5753]P140(a760,a763)+P38(f327(f226(a832),f327(a30,a843)),a759,a844,a761) % 153.71/153.54 [5775]~P141(a760,a764)+P38(f327(f226(a832),f327(a30,a843)),a759,a844,a761) % 153.71/153.54 [6593]P38(f26(a843),a763,f327(a111,a844),a764)+P38(f327(f226(a832),f327(a30,a843)),a759,a844,a761) % 153.71/153.54 [6337]P13(a5000)+P134(f327(f327(f329(f840(a833,a832)),a688),f327(f154(f840(a833,a832)),a29))) % 153.71/153.54 [8353]P13(a5000)+~P134(f327(f327(f246(a833,a832,a831),f327(f18(f841(a832,a831),a833),a27)),a688)) % 153.71/153.54 [4422]~P57(x44221)+P57(f838(x44221)) % 153.71/153.54 [4425]~P136(x44251)+~E(f82(x44251),f2(x44251)) % 153.71/153.54 [4427]~E(x44271,f2(a98))+E(f327(a23,x44271),f2(a1)) % 153.71/153.54 [4428]~E(x44281,f2(a1))+E(f86(a1,x44281),f2(a1)) % 153.71/153.54 [4436]~P1(x44361)+P30(x44361,f2(x44361)) % 153.71/153.54 [4438]~P97(x44381)+P18(x44381,f112(x44381)) % 153.71/153.54 [4449]P134(x44491)+P134(f327(a323,x44491)) % 153.71/153.54 [4493]~P1(x44931)+~P30(x44931,f82(x44931)) % 153.71/153.54 [4536]~P134(x45361)+~P134(f327(a323,x45361)) % 153.71/153.54 [4561]E(f327(a104,x45611),f2(a834))+~P134(f327(a182,x45611)) % 153.71/153.54 [4622]~P88(x46221)+P19(x46221,x46221,f85(x46221)) % 153.71/153.54 [4623]~P97(x46231)+P19(x46231,x46231,f231(x46231)) % 153.71/153.54 [4624]~P97(x46241)+P19(x46241,x46241,f175(x46241)) % 153.71/153.54 [4625]~P94(x46251)+P19(x46251,x46251,f100(x46251)) % 153.71/153.54 [4626]~P95(x46261)+P19(x46261,x46261,f101(x46261)) % 153.71/153.54 [4627]~P62(x46271)+P20(x46271,x46271,f85(x46271)) % 153.71/153.54 [4433]~E(x44331,f2(a834))+E(f327(f99(a1),x44331),f2(a1)) % 153.71/153.54 [4443]~P85(x44431)+E(f327(f103(x44431),a87),f2(x44431)) % 153.71/153.54 [4445]~E(f583(x44451),f2(a834))+E(f327(f148(a834),x44451),f2(a834)) % 153.71/153.54 [4446]~P99(x44461)+E(f229(x44461,f227(x44461)),f231(x44461)) % 153.71/153.54 [4447]~P99(x44471)+E(f230(x44471,f227(x44471)),f175(x44471)) % 153.71/153.54 [4448]~P79(x44481)+E(f86(x44481,f2(x44481)),f2(x44481)) % 153.71/153.54 [4457]~P1(x44571)+E(f327(f99(x44571),f2(a834)),f2(x44571)) % 153.71/153.54 [4458]~P1(x44581)+E(f327(f99(x44581),f82(a834)),f82(x44581)) % 153.71/153.54 [4459]~P130(x44591)+E(f327(f102(x44591),f2(a1)),f2(x44591)) % 153.71/153.54 [4460]~P130(x44601)+E(f327(f102(x44601),f82(a1)),f82(x44601)) % 153.71/153.54 [4461]E(x44611,f2(a834))+~E(f327(f99(a1),x44611),f2(a1)) % 153.71/153.54 [4487]~P67(x44871)+E(f327(f83(x44871),f2(x44871)),f2(x44871)) % 153.71/153.54 [4488]~P87(x44881)+E(f327(f83(x44881),f234(x44881)),f176(x44881)) % 153.71/153.54 [4489]~P87(x44891)+E(f327(f83(x44891),f176(x44891)),f234(x44891)) % 153.71/153.54 [4490]~P76(x44901)+E(f327(f79(x44901),f2(x44901)),f2(x44901)) % 153.71/153.54 [4491]~P107(x44911)+E(f327(f79(x44911),f82(x44911)),f82(x44911)) % 153.71/153.54 [4492]~P64(x44921)+E(f327(f148(x44921),f112(x44921)),f2(x44921)) % 153.71/153.54 [4512]~P32(x45121)+P35(f327(f154(a1),x45121)) % 153.71/153.54 [4541]~P85(x45411)+E(f327(f83(x45411),f82(x45411)),f327(f103(x45411),a96)) % 153.71/153.54 [4553]E(f327(a30,x45531),f179(a832))+P134(f327(a27,f26(x45531))) % 153.71/153.54 [4560]~P85(x45601)+P30(x45601,f327(f103(x45601),a87)) % 153.71/153.54 [4585]P32(x45851)+~P35(f327(f154(a1),x45851)) % 153.71/153.54 [4628]E(f327(f99(a1),f327(a104,x46281)),x46281)+P134(f327(a182,x46281)) % 153.71/153.54 [4695]~P102(x46951)+E(f238(x46951,f82(x46951),f85(x46951)),f237(x46951)) % 153.71/153.54 [4725]~P85(x47251)+~P30(x47251,f327(f103(x47251),a96)) % 153.71/153.54 [4773]E(f327(f222(a832),f334(x47731)),f327(a30,x47731))+~P134(f327(a27,f26(x47731))) % 153.71/153.54 [4774]E(f327(f222(a832),f345(x47741)),f327(a30,x47741))+~P134(f327(a27,f26(x47741))) % 153.71/153.54 [4871]E(f327(f79(a1),x48711),x48711)+P134(f327(f327(f228(a1),x48711),f2(a1))) % 153.71/153.54 [4890]~E(f327(a104,x48901),f2(a834))+P134(f327(f327(f227(a1),x48901),f2(a1))) % 153.71/153.54 [4925]~E(f327(f79(a1),x49251),f82(a1))+P134(f327(f327(f274(a1),x49251),f82(a1))) % 153.71/153.54 [4955]~P134(f327(a182,x49551))+P134(f327(f327(f228(a1),x49551),f2(a1))) % 153.71/153.54 [4995]~P114(x49951)+P134(f327(f327(f228(x49951),f2(x49951)),f82(x49951))) % 153.71/153.54 [4996]~P114(x49961)+P134(f327(f327(f227(x49961),f2(x49961)),f82(x49961))) % 153.71/153.54 [4997]~P1(x49971)+P134(f327(f327(f329(x49971),f2(x49971)),f172(x49971))) % 153.71/153.54 [4998]~P130(x49981)+P134(f327(f327(f329(x49981),f2(x49981)),f109(x49981))) % 153.71/153.54 [4999]~P1(x49991)+P134(f327(f327(f329(x49991),f82(x49991)),f172(x49991))) % 153.71/153.54 [5000]~P130(x50001)+P134(f327(f327(f329(x50001),f82(x50001)),f109(x50001))) % 153.71/153.54 [5054]E(x50541,f2(a834))+~P134(f327(f327(f227(a834),x50541),f2(a834))) % 153.71/153.54 [5055]E(x50551,f82(a834))+~P134(f327(f327(f274(a834),x50551),f82(a834))) % 153.71/153.54 [5096]E(f327(a104,x50961),f2(a834))+~P134(f327(f327(f227(a1),x50961),f2(a1))) % 153.71/153.54 [5124]E(f327(f79(a1),x51241),f82(a1))+~P134(f327(f327(f274(a1),x51241),f82(a1))) % 153.71/153.54 [5151]P134(f327(a182,x51511))+~P134(f327(f327(f228(a1),x51511),f2(a1))) % 153.71/153.54 [5156]~P97(x51561)+P20(x51561,f835(x51561),f134(x51561,x51561,f7(x51561))) % 153.71/153.54 [5174]P35(x51741)+~P134(f327(f327(f227(a1),f2(a1)),f346(x51741))) % 153.71/153.54 [5180]E(f327(f79(a1),x51801),f327(f83(a1),x51801))+~P134(f327(f327(f228(a1),x51801),f2(a1))) % 153.71/153.54 [5351]~P114(x53511)+~P134(f327(f327(f228(x53511),f82(x53511)),f2(x53511))) % 153.71/153.54 [5352]~P114(x53521)+~P134(f327(f327(f227(x53521),f82(x53521)),f2(x53521))) % 153.71/153.54 [5364]~E(x53641,f2(a1))+P134(f327(f327(f228(a1),f327(f79(a1),x53641)),f82(a1))) % 153.71/153.54 [5365]~E(x53651,f2(a834))+P134(f327(f327(f227(a1),f327(f99(a1),x53651)),f2(a1))) % 153.71/153.54 [5484]~P64(x54841)+E(f128(x54841,x54841,f84(x54841),f2(x54841)),f148(x54841)) % 153.71/153.54 [5671]~P83(x56711)+P28(a834,x56711,f99(x56711),f234(f841(a834,a831))) % 153.71/153.54 [5875]E(x58751,f2(a834))+~P134(f327(f327(f227(a1),f327(f99(a1),x58751)),f2(a1))) % 153.71/153.54 [5876]E(x58761,f2(a1))+~P134(f327(f327(f228(a1),f327(f79(a1),x58761)),f82(a1))) % 153.71/153.54 [6703]~P134(f327(f327(f228(a1),x67031),f2(a1)))+P134(f327(f327(f228(a1),f327(f327(f84(a1),x67031),x67031)),f2(a1))) % 153.71/153.54 [7282]P134(f327(f327(f228(a1),x72821),f2(a1)))+~P134(f327(f327(f228(a1),f327(f327(f84(a1),x72821),x72821)),f2(a1))) % 153.71/153.54 [7842]E(x78421,f327(a5,f2(a834)))+P134(f327(f327(f228(a834),f327(f327(f3(a834),f327(a22,x78421)),f327(a111,f2(a834)))),f327(a22,x78421))) % 153.71/153.54 [8562]~P134(f327(f327(f228(a1),x85621),f2(a1)))+P134(f327(f327(f228(a1),f327(f327(f3(a1),f327(f327(f84(a1),x85621),x85621)),a96)),f2(a1))) % 153.71/153.54 [8647]~P134(f327(f327(f228(a1),x86471),f2(a1)))+P134(f327(f327(f228(a1),f327(f327(f84(a1),f327(f327(f84(a1),f82(a1)),x86471)),x86471)),f2(a1))) % 153.71/153.54 [8925]P134(f327(f327(f228(a1),x89251),f2(a1)))+~P134(f327(f327(f228(a1),f327(f327(f3(a1),f327(f327(f84(a1),x89251),x89251)),a96)),f2(a1))) % 153.71/153.54 [8988]P134(f327(f327(f228(a1),x89881),f2(a1)))+~P134(f327(f327(f228(a1),f327(f327(f84(a1),f327(f327(f84(a1),f82(a1)),x89881)),x89881)),f2(a1))) % 153.71/153.54 [4529]~E(a87,x45291)+E(f327(f327(f84(a1),x45291),x45291),a87) % 153.71/153.54 [4530]~E(x45301,a87)+E(f327(f327(f84(a1),x45301),x45301),a87) % 153.71/153.54 [4545]E(x45451,f2(a1))+E(f327(f327(f44(a1),x45451),x45451),f82(a1)) % 153.71/153.54 [4673]E(x46731,a87)+~E(f327(f327(f84(a1),x46731),x46731),a87) % 153.71/153.54 [4674]E(a87,x46741)+~E(f327(f327(f84(a1),x46741),x46741),a87) % 153.71/153.54 [4685]~P9(x46851)+E(f46(x46851,f234(f841(x46851,a831))),f176(x46851)) % 153.71/153.54 [4686]~P9(x46861)+E(f46(x46861,f176(f841(x46861,a831))),f234(x46861)) % 153.71/153.54 [4687]~P9(x46871)+E(f45(x46871,f234(f841(x46871,a831))),f234(x46871)) % 153.71/153.54 [4688]~P9(x46881)+E(f45(x46881,f176(f841(x46881,a831))),f176(x46881)) % 153.71/153.54 [4689]~P97(x46891)+E(f126(x46891,f176(f841(x46891,a831))),f112(x46891)) % 153.71/153.54 [4828]E(x48281,f2(a834))+P134(f327(f327(f228(a834),f2(a834)),x48281)) % 153.71/153.54 [4850]~P10(x48501)+P134(f327(f327(f227(a1),f2(a1)),x48501)) % 153.71/153.54 [4881]~E(f327(f103(a834),x48811),f2(a834))+P134(f327(f327(f227(a1),x48811),a87)) % 153.71/153.54 [4886]P35(x48861)+P134(f327(f327(f329(a1),f346(x48861)),x48861)) % 153.71/153.54 [4887]E(x48871,f327(a5,f2(a834)))+P134(f327(f327(f227(a98),f82(a98)),x48871)) % 153.71/153.54 [4930]P134(f327(a182,x49301))+P134(f327(f327(f227(a1),f2(a1)),x49301)) % 153.71/153.54 [4977]E(f327(f99(a1),f327(a104,x49771)),f2(a1))+P134(f327(f327(f227(a1),f2(a1)),x49771)) % 153.71/153.54 [5039]E(f327(f99(a1),f327(f103(a834),x50391)),f327(f103(a1),x50391))+P134(f327(a182,f327(f103(a1),x50391))) % 153.71/153.54 [5061]E(f327(f103(a834),x50611),f2(a834))+~P134(f327(a182,f327(f103(a1),x50611))) % 153.71/153.54 [5062]E(f327(f103(a834),x50621),f2(a834))+~P134(f327(f327(f227(a1),x50621),a87)) % 153.71/153.54 [5093]P10(x50931)+~P134(f327(f327(f227(a1),f2(a1)),x50931)) % 153.71/153.54 [5159]E(f327(a111,f478(x51591)),x51591)+~P134(f327(f327(f228(a834),f2(a834)),x51591)) % 153.71/153.54 [5160]E(f327(a111,f527(x51601)),x51601)+~P134(f327(f327(f228(a834),f2(a834)),x51601)) % 153.71/153.54 [5168]E(f327(a111,f327(f103(a834),x51681)),f82(a834))+~P134(f327(a182,f327(f103(a1),x51681))) % 153.71/153.54 [5176]E(f327(f99(a1),f557(x51761)),x51761)+~P134(f327(f327(f228(a1),f2(a1)),x51761)) % 153.71/153.54 [5183]~E(x51831,f327(a5,f2(a834)))+~P134(f327(f327(f227(a98),f82(a98)),x51831)) % 153.71/153.54 [5190]E(f327(f99(a1),f327(f103(a834),x51901)),f2(a1))+~P134(f327(a182,f327(f103(a1),x51901))) % 153.71/153.54 [5214]E(f327(f148(a834),x52141),f2(a834))+P134(f327(f327(f329(a834),f583(x52141)),f327(f154(a834),x52141))) % 153.71/153.54 [5235]E(f327(f99(a1),f327(a104,x52351)),x52351)+~P134(f327(f327(f227(a1),f2(a1)),x52351)) % 153.71/153.54 [5244]~P134(f327(a182,x52441))+~P134(f327(f327(f227(a1),f2(a1)),x52441)) % 153.71/153.54 [5344]E(f327(f327(f84(a834),f82(a834)),f327(f103(a834),x53441)),f82(a834))+~P134(f327(f327(f228(a1),x53441),a87)) % 153.71/153.54 [5401]E(x54011,f2(a834))+~P134(f327(f327(f228(a834),x54011),f327(a111,f2(a834)))) % 153.71/153.54 [5424]E(x54241,f327(a111,f2(a834)))+~P134(f327(f327(f274(a834),x54241),f327(a111,f2(a834)))) % 153.71/153.54 [5442]E(f327(f327(f84(a834),f327(f103(a834),x54421)),f82(a834)),f82(a834))+~P134(f327(f327(f228(a1),x54421),a87)) % 153.71/153.54 [5443]E(f327(f327(f3(a834),f327(f103(a834),x54431)),f82(a834)),f2(a834))+~P134(f327(f327(f227(a1),x54431),a87)) % 153.71/153.54 [5453]~P35(x54531)+E(f327(f43(a834),f327(f298(a1,a834,a104),x54531)),f327(f43(a1),x54531)) % 153.71/153.54 [5485]~P97(x54851)+E(f229(x54851,f327(f9(x54851,x54851,a831),f227(x54851))),f175(x54851)) % 153.71/153.54 [5486]~P97(x54861)+E(f230(x54861,f327(f9(x54861,x54861,a831),f227(x54861))),f231(x54861)) % 153.71/153.54 [5496]E(f53(a834,f327(a111,f2(a834)),f327(f103(a834),x54961)),f327(a111,f2(a834)))+~P134(f327(a182,f327(f103(a1),x54961))) % 153.71/153.54 [5504]P134(f327(f327(f228(a1),f2(a1)),x55041))+~P134(f327(f327(f227(a1),f82(a1)),x55041)) % 153.71/153.54 [5505]~P134(f327(f327(f228(a1),f2(a1)),x55051))+P134(f327(f327(f227(a1),f82(a1)),x55051)) % 153.71/153.54 [5515]E(f327(a111,f327(f327(f3(a834),x55151),f82(a834))),x55151)+~P134(f327(f327(f228(a834),f2(a834)),x55151)) % 153.71/153.54 [5578]P134(f327(f327(f228(a834),f2(a834)),f557(x55781)))+~P134(f327(f327(f228(a1),f2(a1)),x55781)) % 153.71/153.54 [5639]E(f53(a1,f327(f103(a1),a96),x56391),f327(f327(f3(a1),x56391),f82(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x56391)) % 153.71/153.54 [5686]~P134(f327(f327(f228(a1),a87),x56861))+P134(f327(f327(f228(a834),f2(a834)),f327(f103(a834),x56861))) % 153.71/153.54 [5740]P134(f327(f327(f228(a834),f2(a834)),f327(a104,x57401)))+~P134(f327(f327(f228(a1),f2(a1)),x57401)) % 153.71/153.54 [5789]~P134(f327(f327(f228(a834),f2(a834)),x57891))+P134(f327(f327(f228(a1),f2(a1)),f327(f99(a1),x57891))) % 153.71/153.54 [5828]~P134(f327(f327(f228(a834),f2(a834)),f327(a104,x58281)))+P134(f327(f327(f228(a1),f2(a1)),x58281)) % 153.71/153.54 [5842]~P35(x58421)+E(f327(f298(a834,a1,f99(a1)),f327(f298(a1,a834,a104),x58421)),x58421) % 153.71/153.54 [5851]P134(f327(f327(f228(a1),a87),x58511))+~P134(f327(f327(f228(a834),f2(a834)),f327(f103(a834),x58511))) % 153.71/153.54 [5917]P134(f327(f327(f228(a834),f2(a834)),x59171))+~P134(f327(f327(f228(a1),f2(a1)),f327(f99(a1),x59171))) % 153.71/153.54 [6033]E(f327(f298(a834,a1,f99(a1)),f327(f252(a834),f327(a104,x60331))),f327(f289(a1,f2(a1)),x60331))+~P134(f327(f327(f227(a1),f2(a1)),x60331)) % 153.71/153.54 [6049]~P114(x60491)+P134(f327(f327(f228(x60491),f2(x60491)),f327(f327(f84(x60491),f82(x60491)),f82(x60491)))) % 153.71/153.54 [6103]P134(f327(f327(f228(a834),f327(a111,f2(a834))),f327(a104,x61031)))+~P134(f327(f327(f228(a1),f82(a1)),x61031)) % 153.71/153.54 [6204]E(x62041,f2(a1))+P134(f327(f57(f2(a1),x62041),f327(f327(f236(a1,a1),f2(a1)),f2(a1)))) % 153.71/153.54 [6378]~P134(f327(f327(f228(a834),f327(a111,f2(a834))),f327(a104,x63781)))+P134(f327(f327(f228(a1),f82(a1)),x63781)) % 153.71/153.54 [6822]~P104(x68221)+P33(x68221,f327(f251(f840(x68221,x68221)),f327(f246(x68221,x68221,a831),f228(x68221)))) % 153.71/153.54 [5391]E(f327(f103(a834),f327(f327(f3(a1),x53911),a96)),f327(a111,f327(f103(a834),x53911)))+P134(f327(a182,f327(f103(a1),x53911))) % 153.71/153.54 [5404]~P32(x54041)+E(f327(f327(f138(a834,a1),f99(a1)),f327(f327(f138(a1,a834),a104),x54041)),x54041) % 153.71/153.54 [5524]E(f327(f83(a1),f327(f99(a1),f327(a111,f601(x55241)))),x55241)+~P134(f327(f327(f228(a1),x55241),f2(a1))) % 153.71/153.54 [5535]E(f327(f327(f84(a834),f82(a834)),f327(f103(a834),x55351)),f327(f103(a834),f327(f327(f3(a1),x55351),a96)))+P134(f327(f327(f228(a1),x55351),a87)) % 153.71/153.54 [5580]E(f327(f327(f44(a1),f327(f103(a1),a96)),x55801),f327(f103(a1),a96))+~P134(f327(f327(f228(a1),f2(a1)),x55801)) % 153.71/153.54 [5682]E(f327(f327(f84(a834),f327(f103(a834),x56821)),f82(a834)),f327(f103(a834),f327(f327(f3(a1),x56821),a96)))+P134(f327(f327(f228(a1),x56821),a87)) % 153.71/153.54 [5683]E(f327(f327(f3(a834),f327(f103(a834),x56831)),f82(a834)),f327(f103(a834),f327(f327(f84(a1),x56831),a96)))+P134(f327(f327(f227(a1),x56831),a87)) % 153.71/153.54 [5726]E(f327(a104,f327(f327(f84(a1),f82(a1)),x57261)),f327(a111,f327(a104,x57261)))+~P134(f327(f327(f227(a1),f2(a1)),x57261)) % 153.71/153.54 [5765]E(f327(a111,f327(f327(f3(a834),x57651),f327(a111,f2(a834)))),x57651)+~P134(f327(f327(f228(a834),f2(a834)),x57651)) % 153.71/153.54 [5978]E(f53(a834,f327(a111,f2(a834)),f327(f103(a834),x59781)),f327(a104,f53(a1,f82(a1),f327(f103(a1),x59781))))+P134(f327(a182,f327(f103(a1),x59781))) % 153.71/153.54 [6024]~P134(f327(f327(f228(a1),a96),x60241))+P134(f327(f327(f228(a1),a96),f327(f327(f84(a1),x60241),x60241))) % 153.71/153.54 [6025]~P134(f327(f327(f228(a1),a87),x60251))+P134(f327(f327(f228(a1),a87),f327(f327(f84(a1),x60251),x60251))) % 153.71/153.54 [6026]~P134(f327(f327(f228(a1),a96),x60261))+P134(f327(f327(f227(a1),a96),f327(f327(f84(a1),x60261),x60261))) % 153.71/153.54 [6027]~P134(f327(f327(f227(a1),a87),x60271))+P134(f327(f327(f227(a1),a87),f327(f327(f84(a1),x60271),x60271))) % 153.71/153.54 [6218]~P134(f327(f66(x62181),f234(f841(x62181,a831))))+P134(f327(f66(f838(x62181)),f234(f841(f838(x62181),a831)))) % 153.71/153.54 [6305]~P134(f327(f327(f227(a1),f2(a1)),x63051))+P134(f327(f327(f228(a1),f2(a1)),f327(f327(f84(a1),f82(a1)),x63051))) % 153.71/153.54 [6311]E(f327(f235(a1,a1),f55(f82(a1),f327(f103(a1),x63111))),f327(f327(f44(a1),f82(a1)),f327(f103(a1),x63111)))+~P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x63111))) % 153.71/153.54 [6336]E(f327(f245(a1,a1),f55(f82(a1),f327(f103(a1),x63361))),f53(a1,f82(a1),f327(f103(a1),x63361)))+~P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x63361))) % 153.71/153.54 [6349]P134(f327(f66(x63491),f234(f841(x63491,a831))))+~P134(f327(f66(f838(x63491)),f234(f841(f838(x63491),a831)))) % 153.71/153.54 [6379]P134(f327(f327(f228(a1),a96),x63791))+~P134(f327(f327(f228(a1),a96),f327(f327(f84(a1),x63791),x63791))) % 153.71/153.54 [6380]P134(f327(f327(f228(a1),a96),x63801))+~P134(f327(f327(f227(a1),a96),f327(f327(f84(a1),x63801),x63801))) % 153.71/153.54 [6381]P134(f327(f327(f228(a1),a87),x63811))+~P134(f327(f327(f228(a1),a87),f327(f327(f84(a1),x63811),x63811))) % 153.71/153.54 [6382]P134(f327(f327(f227(a1),a87),x63821))+~P134(f327(f327(f227(a1),a87),f327(f327(f84(a1),x63821),x63821))) % 153.71/153.54 [6708]~P134(f327(f66(x67081),f234(f841(x67081,a831))))+P134(f327(f327(f228(a834),f2(a834)),f327(f43(x67081),f234(f841(x67081,a831))))) % 153.71/153.54 [7326]P134(f327(f66(a834),x73261))+~P134(f327(f66(a1),f327(f298(a834,a1,f99(a1)),x73261))) % 153.71/153.54 [5318]~E(a96,x53181)+E(f327(f327(f3(a1),f327(f327(f84(a1),x53181),x53181)),a96),a96) % 153.71/153.54 [5319]~E(x53191,a96)+E(f327(f327(f3(a1),f327(f327(f84(a1),x53191),x53191)),a96),a96) % 153.71/153.54 [5847]E(x58471,a96)+~E(f327(f327(f3(a1),f327(f327(f84(a1),x58471),x58471)),a96),a96) % 153.71/153.54 [5848]E(a96,x58481)+~E(f327(f327(f3(a1),f327(f327(f84(a1),x58481),x58481)),a96),a96) % 153.71/153.54 [6275]~E(f327(f103(a834),x62751),f2(a834))+P134(f327(a182,f327(f103(a1),f327(f327(f84(a1),x62751),a96)))) % 153.71/153.54 [6634]~P134(f327(a182,f327(f103(a1),x66341)))+P134(f327(a182,f327(f103(a1),f327(f327(f84(a1),x66341),x66341)))) % 153.71/153.54 [6635]~P134(f327(f327(f227(a1),x66351),a96))+P134(f327(f327(f228(a1),f327(f327(f84(a1),x66351),x66351)),a96)) % 153.71/153.54 [6636]~P134(f327(f327(f228(a1),x66361),a87))+P134(f327(f327(f228(a1),f327(f327(f84(a1),x66361),x66361)),a87)) % 153.71/153.54 [6637]~P134(f327(f327(f227(a1),x66371),a96))+P134(f327(f327(f227(a1),f327(f327(f84(a1),x66371),x66371)),a96)) % 153.71/153.54 [6638]~P134(f327(f327(f227(a1),x66381),a87))+P134(f327(f327(f227(a1),f327(f327(f84(a1),x66381),x66381)),a87)) % 153.71/153.54 [6969]E(f327(f103(a834),x69691),f2(a834))+~P134(f327(a182,f327(f103(a1),f327(f327(f84(a1),x69691),a96)))) % 153.71/153.54 [7232]~P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x72321)))+P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),f327(f327(f84(a1),x72321),x72321)))) % 153.71/153.54 [7233]P134(f327(a182,f327(f103(a1),x72331)))+~P134(f327(a182,f327(f103(a1),f327(f327(f84(a1),x72331),x72331)))) % 153.71/153.54 [7234]P134(f327(f327(f228(a1),x72341),a87))+~P134(f327(f327(f228(a1),f327(f327(f84(a1),x72341),x72341)),a87)) % 153.71/153.54 [7235]P134(f327(f327(f227(a1),x72351),a96))+~P134(f327(f327(f228(a1),f327(f327(f84(a1),x72351),x72351)),a96)) % 153.71/153.54 [7236]P134(f327(f327(f227(a1),x72361),a96))+~P134(f327(f327(f227(a1),f327(f327(f84(a1),x72361),x72361)),a96)) % 153.71/153.54 [7237]P134(f327(f327(f227(a1),x72371),a87))+~P134(f327(f327(f227(a1),f327(f327(f84(a1),x72371),x72371)),a87)) % 153.71/153.54 [7610]E(f327(a106,f555(x76101)),x76101)+~P134(f327(f327(f329(f841(f840(a834,a834),a831)),x76101),a97)) % 153.71/153.54 [6189]~P85(x61891)+E(f327(f103(x61891),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f82(x61891)) % 153.71/153.54 [6687]~P134(f327(a182,f327(f103(a1),x66871)))+E(f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),x66871),x66871)),a96)),f2(a834)) % 153.71/153.54 [7788]~P134(f327(f327(f228(a1),f327(f103(a1),x77881)),f2(a1)))+E(f327(f235(a1,a1),f327(a59,f58(f327(f83(a1),f82(a1)),f327(f83(a1),f327(f103(a1),x77881))))),f327(f327(f44(a1),f82(a1)),f327(f103(a1),x77881))) % 153.71/153.54 [7801]~P134(f327(f327(f228(a1),f327(f103(a1),x78011)),f2(a1)))+E(f327(f245(a1,a1),f327(a59,f58(f327(f83(a1),f82(a1)),f327(f83(a1),f327(f103(a1),x78011))))),f53(a1,f82(a1),f327(f103(a1),x78011))) % 153.71/153.54 [7848]~P134(f327(f327(f228(a1),a96),x78481))+P134(f327(f327(f228(a1),a96),f327(f327(f3(a1),f327(f327(f84(a1),x78481),x78481)),a96))) % 153.71/153.54 [7849]~P134(f327(f327(f227(a1),a87),x78491))+P134(f327(f327(f228(a1),a87),f327(f327(f3(a1),f327(f327(f84(a1),x78491),x78491)),a96))) % 153.71/153.54 [7850]~P134(f327(f327(f227(a1),a96),x78501))+P134(f327(f327(f227(a1),a96),f327(f327(f3(a1),f327(f327(f84(a1),x78501),x78501)),a96))) % 153.71/153.54 [7851]~P134(f327(f327(f227(a1),a87),x78511))+P134(f327(f327(f227(a1),a87),f327(f327(f3(a1),f327(f327(f84(a1),x78511),x78511)),a96))) % 153.71/153.54 [8140]~P85(x81401)+~P30(x81401,f327(f103(x81401),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))) % 153.71/153.54 [8316]P134(f327(f327(f228(a1),a96),x83161))+~P134(f327(f327(f228(a1),a96),f327(f327(f3(a1),f327(f327(f84(a1),x83161),x83161)),a96))) % 153.71/153.54 [8317]P134(f327(f327(f227(a1),a96),x83171))+~P134(f327(f327(f227(a1),a96),f327(f327(f3(a1),f327(f327(f84(a1),x83171),x83171)),a96))) % 153.71/153.54 [8318]P134(f327(f327(f227(a1),a87),x83181))+~P134(f327(f327(f228(a1),a87),f327(f327(f3(a1),f327(f327(f84(a1),x83181),x83181)),a96))) % 153.71/153.54 [8319]P134(f327(f327(f227(a1),a87),x83191))+~P134(f327(f327(f227(a1),a87),f327(f327(f3(a1),f327(f327(f84(a1),x83191),x83191)),a96))) % 153.71/153.54 [8605]E(f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),x86051),x86051)),a96)),f327(f327(f90(a834,a834),f327(f103(a834),x86051)),f327(f327(f10(a834,a834,a834),a111),f327(f327(f20(a834,a834,a834),f84(a834)),f7(a834)))))+P134(f327(a182,f327(f103(a1),x86051))) % 153.71/153.54 [9370]E(x93701,f176(f841(f840(a834,a834),a831)))+P134(f327(f327(f329(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f236(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),x93701),f176(f841(f840(a834,a834),a831)))),a41)) % 153.71/153.54 [8539]~P134(f327(a182,f327(f103(a1),x85391)))+P134(f327(a182,f327(f103(a1),f327(f327(f3(a1),f327(f327(f84(a1),x85391),x85391)),a96)))) % 153.71/153.54 [8540]~P134(f327(f327(f228(a1),x85401),a96))+P134(f327(f327(f228(a1),f327(f327(f3(a1),f327(f327(f84(a1),x85401),x85401)),a96)),a96)) % 153.71/153.54 [8541]~P134(f327(f327(f228(a1),x85411),a87))+P134(f327(f327(f228(a1),f327(f327(f3(a1),f327(f327(f84(a1),x85411),x85411)),a96)),a87)) % 153.71/153.54 [8542]~P134(f327(f327(f227(a1),x85421),a96))+P134(f327(f327(f227(a1),f327(f327(f3(a1),f327(f327(f84(a1),x85421),x85421)),a96)),a96)) % 153.71/153.54 [8543]~P134(f327(f327(f228(a1),x85431),a87))+P134(f327(f327(f227(a1),f327(f327(f3(a1),f327(f327(f84(a1),x85431),x85431)),a96)),a87)) % 153.71/153.54 [8640]~P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x86401)))+P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),f327(f327(f3(a1),f327(f327(f84(a1),x86401),x86401)),a96)))) % 153.71/153.54 [8768]~P85(x87681)+E(f327(f327(f84(x87681),f82(x87681)),f82(x87681)),f327(f103(x87681),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))) % 153.71/153.54 [8911]P134(f327(a182,f327(f103(a1),x89111)))+~P134(f327(a182,f327(f103(a1),f327(f327(f3(a1),f327(f327(f84(a1),x89111),x89111)),a96)))) % 153.71/153.54 [8912]P134(f327(f327(f228(a1),x89121),a96))+~P134(f327(f327(f228(a1),f327(f327(f3(a1),f327(f327(f84(a1),x89121),x89121)),a96)),a96)) % 153.71/153.54 [8913]P134(f327(f327(f228(a1),x89131),a87))+~P134(f327(f327(f228(a1),f327(f327(f3(a1),f327(f327(f84(a1),x89131),x89131)),a96)),a87)) % 153.71/153.54 [8914]P134(f327(f327(f228(a1),x89141),a87))+~P134(f327(f327(f227(a1),f327(f327(f3(a1),f327(f327(f84(a1),x89141),x89141)),a96)),a87)) % 153.71/153.54 [8915]P134(f327(f327(f227(a1),x89151),a96))+~P134(f327(f327(f227(a1),f327(f327(f3(a1),f327(f327(f84(a1),x89151),x89151)),a96)),a96)) % 153.71/153.54 [9420]~P134(f327(f66(f840(a834,a834)),x94201))+P134(f327(f327(f329(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f236(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),f176(f841(f840(a834,a834),a831))),x94201)),a73)) % 153.71/153.54 [9207]~P1(x92071)+E(f327(f327(f237(x92071),f2(x92071)),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f2(x92071)) % 153.71/153.54 [9208]~P1(x92081)+E(f327(f327(f237(x92081),f82(x92081)),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f82(x92081)) % 153.71/153.54 [9619]~P134(f327(f327(f228(a834),f82(a834)),x96191))+P134(f327(f327(f228(a834),f2(a834)),f327(f327(f44(a834),x96191),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))) % 153.71/153.54 [9625]~P134(f327(f327(f228(a834),f2(a834)),x96251))+P134(f327(f327(f228(a834),f2(a834)),f327(f327(f44(a834),f327(f327(f84(a834),x96251),f82(a834))),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))) % 153.71/153.54 [9663]~E(f53(a834,x96631,f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f82(a834))+P134(f327(f327(f228(a834),f2(a834)),f53(a834,x96631,f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))) % 153.71/153.54 [9698]E(f53(a834,x96981,f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f82(a834))+~P134(f327(f327(f228(a834),f2(a834)),f53(a834,x96981,f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))) % 153.71/153.54 [4466]~P33(x44661,x44662)+P54(x44661,x44662) % 153.71/153.54 [4467]~P40(x44671,x44672)+P54(x44671,x44672) % 153.71/153.54 [4732]E(x47321,x47322)+~P36(a25,x47321,x47322) % 153.71/153.54 [4421]E(x44211,x44212)+~E(f26(x44211),f26(x44212)) % 153.71/153.54 [4423]~E(x44231,x44232)+E(f261(x44231,x44232),f82(a98)) % 153.71/153.54 [4426]E(f206(x44261,x44262),x44261)+~E(x44262,f2(a834)) % 153.71/153.54 [4432]P34(x44321,x44322)+~E(x44322,f179(x44321)) % 153.71/153.54 [4435]~E(x44352,f112(x44351))+E(f137(x44351,x44352),f112(x44351)) % 153.71/153.54 [4439]~P34(x44392,x44391)+E(x44391,f179(x44392)) % 153.71/153.54 [4456]~E(f137(x44562,x44561),f112(x44562))+E(x44561,f112(x44562)) % 153.71/153.54 [4471]~P96(x44712)+P96(f841(x44711,x44712)) % 153.71/153.54 [4472]~P100(x44722)+P100(f841(x44721,x44722)) % 153.71/153.54 [4473]~P99(x44732)+P99(f841(x44731,x44732)) % 153.71/153.54 [4474]~P87(x44742)+P87(f841(x44741,x44742)) % 153.71/153.54 [4475]~P81(x44752)+P81(f841(x44751,x44752)) % 153.71/153.54 [4476]~P69(x44762)+P69(f841(x44761,x44762)) % 153.71/153.54 [4477]~P89(x44772)+P89(f841(x44771,x44772)) % 153.71/153.54 [4478]~P89(x44782)+P94(f841(x44781,x44782)) % 153.71/153.54 [4479]~P9(x44792)+P9(f841(x44791,x44792)) % 153.71/153.54 [4480]~P103(x44802)+P103(f841(x44801,x44802)) % 153.71/153.54 [4481]~P92(x44812)+P90(f841(x44811,x44812)) % 153.71/153.54 [4482]~P98(x44822)+P98(f841(x44821,x44822)) % 153.71/153.54 [4483]~P92(x44832)+P91(f841(x44831,x44832)) % 153.71/153.54 [4484]~P89(x44842)+P95(f841(x44841,x44842)) % 153.71/153.54 [4485]~P93(x44852)+P93(f841(x44851,x44852)) % 153.71/153.54 [4486]~P92(x44862)+P92(f841(x44861,x44862)) % 153.71/153.54 [4499]E(x44991,x44992)+~E(f327(a111,x44991),f327(a111,x44992)) % 153.71/153.54 [4500]E(x45001,x45002)+~E(f327(a5,x45001),f327(a5,x45002)) % 153.71/153.54 [4502]E(x45021,x45022)+~E(f327(a22,x45021),f327(a22,x45022)) % 153.71/153.54 [4503]E(x45031,x45032)+~E(f327(a106,x45031),f327(a106,x45032)) % 153.71/153.54 [4601]~P7(x46011)+E(f53(x46011,x46012,x46012),f2(x46011)) % 153.71/153.54 [4635]~P33(x46351,x46352)+P33(f835(x46351),f132(x46351,x46352)) % 153.71/153.54 [4636]~P33(x46361,x46362)+P33(f835(x46361),f131(x46361,x46362)) % 153.71/153.54 [4730]~P33(x47301,x47302)+P33(f841(x47301,a831),f319(x47301,x47302)) % 153.71/153.54 [4731]~P33(x47311,x47312)+P33(f841(x47311,a831),f320(x47311,x47312)) % 153.71/153.54 [4856]~P10(x48561)+P35(f290(a1,x48561,x48562)) % 153.71/153.54 [4958]~P33(x49581,x49582)+P56(x49581,f72(x49581,x49581,x49582)) % 153.71/153.54 [5447]~P74(x54471)+P28(x54471,x54471,f83(x54471),x54472) % 153.71/153.54 [4451]~E(x44512,f112(x44511))+E(f327(f150(x44511),x44512),f112(x44511)) % 153.71/153.54 [4452]~E(x44522,f112(x44521))+E(f327(f151(x44521),x44522),f112(x44521)) % 153.71/153.54 [4507]E(x45071,f327(a104,x45072))+~E(f327(f99(a1),x45071),x45072) % 153.71/153.54 [4510]E(x45101,f112(x45102))+~E(f327(f150(x45102),x45101),f112(x45102)) % 153.71/153.54 [4511]E(x45111,f112(x45112))+~E(f327(f151(x45112),x45111),f112(x45112)) % 153.71/153.54 [4526]~P85(x45261)+E(f327(f103(x45261),x45262),f327(f102(x45261),x45262)) % 153.71/153.54 [4533]~E(x45332,f179(x45331))+E(f221(x45331,x45332),f176(f841(x45331,a831))) % 153.71/153.54 [4535]~P57(x45351)+P134(f327(f66(x45351),x45352)) % 153.71/153.54 [4542]E(x45421,f179(x45422))+E(f327(f222(x45422),f333(x45422,x45421)),x45421) % 153.71/153.54 [4543]E(x45431,f179(x45432))+E(f327(f222(x45432),f377(x45432,x45431)),x45431) % 153.71/153.54 [4544]E(x45441,f179(x45442))+E(f327(f222(x45442),f388(x45442,x45441)),x45441) % 153.71/153.54 [4546]~E(f704(x45462,x45461),f112(x45461))+E(f160(x45461,x45462),f112(f835(x45461))) % 153.71/153.54 [4556]~E(x45562,f112(x45561))+E(f327(f154(x45561),x45562),f176(f841(x45561,a831))) % 153.71/153.54 [4557]~E(x45572,f112(x45571))+E(f176(f841(x45571,a831)),f327(f154(x45571),x45572)) % 153.71/153.54 [4559]E(x45591,x45592)+~E(f327(f99(a1),x45591),f327(f99(a1),x45592)) % 153.71/153.54 [4562]E(f204(x45621,x45622),f2(a834))+P134(f327(f66(x45621),x45622)) % 153.71/153.54 [4580]~P107(x45801)+E(f86(x45801,f86(x45801,x45802)),f86(x45801,x45802)) % 153.71/153.54 [4592]~P82(x45921)+E(f327(f327(f237(x45921),x45922),f82(a834)),x45922) % 153.71/153.54 [4593]~P72(x45931)+E(f327(f327(f237(x45931),x45932),f82(a834)),x45932) % 153.71/153.54 [4595]E(x45951,x45952)+E(f261(x45951,x45952),f327(f327(f84(a98),x45952),f82(a98))) % 153.71/153.54 [4598]E(f327(f43(x45981),x45982),f2(a834))+P134(f327(f66(x45981),x45982)) % 153.71/153.54 [4602]~E(f137(x46021,x46022),x46022)+P134(f327(f124(x46021),x46022)) % 153.71/153.54 [4605]~P64(x46051)+E(f327(f327(f84(x46051),x46052),f2(x46051)),x46052) % 153.71/153.54 [4606]~P65(x46061)+E(f327(f327(f84(x46061),x46062),f2(x46061)),x46062) % 153.71/153.54 [4607]~P82(x46071)+E(f327(f327(f84(x46071),x46072),f2(x46071)),x46072) % 153.71/153.54 [4608]~P82(x46081)+E(f327(f327(f85(x46081),x46082),f82(x46081)),x46082) % 153.71/153.54 [4609]~P72(x46091)+E(f327(f327(f85(x46091),x46092),f82(x46091)),x46092) % 153.71/153.54 [4610]~P68(x46101)+E(f327(f327(f85(x46101),x46102),f82(x46101)),x46102) % 153.71/153.54 [4611]~P7(x46111)+E(f327(f327(f44(x46111),x46112),f82(x46111)),x46112) % 153.71/153.54 [4612]~P67(x46121)+E(f327(f327(f3(x46121),x46122),f2(x46121)),x46122) % 153.71/153.54 [4613]~P110(x46131)+E(f327(f327(f278(x46131),x46132),f82(x46131)),x46132) % 153.71/153.54 [4614]~P91(x46141)+E(f327(f327(f100(x46141),x46142),f176(x46141)),x46142) % 153.71/153.54 [4615]~P90(x46151)+E(f327(f327(f101(x46151),x46152),f234(x46151)),x46152) % 153.71/153.54 [4616]~P82(x46161)+E(f327(f327(f237(x46161),x46162),f2(a834)),f82(x46161)) % 153.71/153.54 [4617]~P102(x46171)+E(f327(f327(f237(x46171),x46172),f2(a834)),f82(x46171)) % 153.71/153.54 [4618]~E(x46182,f176(f841(x46181,a831)))+E(f327(f43(x46181),x46182),f2(a834)) % 153.71/153.54 [4629]~P7(x46291)+E(f53(x46291,x46292,f2(x46291)),x46292) % 153.71/153.54 [4637]~P82(x46371)+E(f327(f327(f85(x46371),x46372),f2(x46371)),f2(x46371)) % 153.71/153.54 [4638]~P119(x46381)+E(f327(f327(f85(x46381),x46382),f2(x46381)),f2(x46381)) % 153.71/153.54 [4639]~P7(x46391)+E(f327(f327(f44(x46391),x46392),f2(x46391)),f2(x46391)) % 153.71/153.54 [4640]~P111(x46401)+E(f327(f327(f278(x46401),x46402),f2(x46401)),f2(x46401)) % 153.71/153.54 [4641]~P90(x46411)+E(f327(f327(f100(x46411),x46412),f234(x46411)),f234(x46411)) % 153.71/153.54 [4642]~P91(x46421)+E(f327(f327(f101(x46421),x46422),f176(x46421)),f176(x46421)) % 153.71/153.54 [4643]E(x46431,f179(x46432))+~E(f221(x46432,x46431),f176(f841(x46432,a831))) % 153.71/153.54 [4645]~P7(x46451)+E(f53(x46451,x46452,f82(x46451)),f2(x46451)) % 153.71/153.54 [4646]~P7(x46461)+E(f53(x46461,f2(x46461),x46462),f2(x46461)) % 153.71/153.54 [4697]P33(x46971,x46972)+~E(f584(x46972,x46971),f176(f841(x46971,a831))) % 153.71/153.54 [4698]E(x46981,f112(x46982))+~E(f327(f154(x46982),x46981),f176(f841(x46982,a831))) % 153.71/153.54 [4699]E(x46991,f112(x46992))+~E(f176(f841(x46992,a831)),f327(f154(x46992),x46991)) % 153.71/153.54 [4702]~E(x47021,x47022)+P134(f327(f327(a324,x47021),x47022)) % 153.71/153.54 [4712]P134(x47121)+P134(f327(f327(a330,x47121),x47122)) % 153.71/153.54 [4713]E(x47131,f112(x47132))+E(f327(f327(f146(x47132),x47131),f2(a834)),f327(f127(x47132),x47131)) % 153.71/153.54 [4716]E(f137(x47161,x47162),x47162)+~P134(f327(f124(x47161),x47162)) % 153.71/153.54 [4721]~P134(x47212)+P134(f327(f327(a330,x47211),x47212)) % 153.71/153.54 [4722]~P134(x47222)+P134(f327(f327(a326,x47221),x47222)) % 153.71/153.54 [4723]~P134(x47231)+P134(f327(f327(a326,x47231),x47232)) % 153.71/153.54 [4733]~E(f327(a30,x47331),f327(f222(a832),x47332))+P134(f327(a27,f26(x47331))) % 153.71/153.54 [4735]~E(f705(x47352,x47351),f708(x47352,x47351))+P134(f327(f124(x47351),x47352)) % 153.71/153.54 [4742]E(f327(f251(x47421),x47422),f176(f841(x47421,a831)))+P134(f327(x47422,f525(x47422))) % 153.71/153.54 [4743]E(f176(f841(x47431,a831)),f327(f251(x47431),x47432))+P134(f327(x47432,f526(x47432))) % 153.71/153.54 [4809]~P107(x48091)+E(f327(f327(f85(x48091),x48092),f86(x48091,x48092)),f327(f79(x48091),x48092)) % 153.71/153.54 [4821]~E(x48211,f2(a1))+E(f54(x48211,x48212),f327(f327(f236(a1,a1),f2(a1)),f2(a1))) % 153.71/153.54 [4855]~P54(x48551,x48552)+P54(x48551,f327(f273(x48551,x48551),x48552)) % 153.71/153.54 [4875]E(x48751,x48752)+~P134(f327(f327(a324,x48751),x48752)) % 153.71/153.54 [4879]~P134(f327(a27,x48792))+P134(f327(a27,f35(x48791,x48792))) % 153.71/153.54 [4888]P134(x48881)+~P134(f327(f327(a325,x48882),x48881)) % 153.71/153.54 [4889]P134(x48891)+~P134(f327(f327(a325,x48891),x48892)) % 153.71/153.54 [4893]~P103(x48931)+P134(f327(f327(f227(x48931),x48932),f234(x48931))) % 153.71/153.54 [4894]~P82(x48941)+P134(f327(f327(f274(x48941),x48942),f2(x48941))) % 153.71/153.54 [4898]E(x48981,x48982)+~E(f327(x48981,f389(x48982,x48981)),f327(x48982,f389(x48982,x48981))) % 153.71/153.54 [4932]E(x49321,f2(a834))+E(f206(x49321,f53(a834,x49322,x49321)),f206(x49322,x49321)) % 153.71/153.54 [4937]~P97(x49371)+P18(x49371,f327(f327(f136(x49371),x49372),f112(x49371))) % 153.71/153.54 [4939]E(x49391,f2(a1))+P134(f327(f57(x49392,x49391),f54(x49392,x49391))) % 153.71/153.54 [4956]~E(x49561,x49562)+P134(f327(f327(f228(a834),x49561),f327(a111,x49562))) % 153.71/153.54 [4966]~E(x49661,f2(a834))+P134(f327(f327(f228(a834),x49661),f327(a111,x49662))) % 153.71/153.54 [4976]P134(f327(x49761,x49762))+P134(f327(f327(f227(a1),f2(a1)),f598(x49761))) % 153.71/153.54 [5010]P134(f327(a27,x50101))+~P134(f327(a27,f35(x50102,x50101))) % 153.71/153.54 [5012]P134(f327(a27,x50121))+~P134(f327(a27,f36(x50122,x50121))) % 153.71/153.54 [5014]P134(f327(a27,x50141))+~P134(f327(a27,f36(x50141,x50142))) % 153.71/153.54 [5043]P54(x50431,x50432)+~P54(x50431,f327(f273(x50431,x50431),x50432)) % 153.71/153.54 [5047]~E(f53(a834,x50472,x50471),f2(a834))+E(f327(f327(f85(a834),x50471),f765(x50471,x50472)),x50472) % 153.71/153.54 [5048]~E(f53(a1,x50482,x50481),f2(a1))+E(f327(f327(f85(a1),x50481),f710(x50481,x50482)),x50482) % 153.71/153.54 [5074]~P134(f327(x50741,x50742))+P134(f327(f327(f227(a1),f2(a1)),f597(x50741))) % 153.71/153.54 [5085]E(f327(f327(f3(a834),f327(a104,x50851)),f327(a104,x50852)),f327(a104,x50851))+~P134(f327(a182,x50852)) % 153.71/153.54 [5114]E(f262(x51141,x51142),f82(a98))+~P134(f327(f327(f227(a98),x51141),f82(a98))) % 153.71/153.54 [5202]E(f327(f327(f146(x52021),x52022),f705(x52022,x52021)),f327(f327(f146(x52021),x52022),f708(x52022,x52021)))+P134(f327(f124(x52021),x52022)) % 153.71/153.54 [5245]~P134(f327(x52451,f94(x52452,x52451)))+P134(f327(x52451,f600(x52452,x52451))) % 153.71/153.54 [5308]P56(x53081,x53082)+~P134(f327(f316(x53081,x53082),f558(x53082,x53081))) % 153.71/153.54 [5454]~E(f327(a111,f53(a834,x54541,x54542)),x54542)+E(f53(a834,f327(a111,x54541),x54542),f2(a834)) % 153.71/153.54 [5511]P33(x55111,x55112)+P134(f327(f327(f329(x55111),f666(x55112,x55111)),f667(x55112,x55111))) % 153.71/153.54 [5520]~P1(x55201)+P134(f327(f327(f329(x55201),f327(f99(x55201),x55202)),f172(x55201))) % 153.71/153.54 [5521]~P130(x55211)+P134(f327(f327(f329(x55211),f327(f99(x55211),x55212)),f109(x55211))) % 153.71/153.54 [5522]~P130(x55221)+P134(f327(f327(f329(x55221),f327(f102(x55221),x55222)),f109(x55221))) % 153.71/153.54 [5523]~P85(x55231)+P134(f327(f327(f329(x55231),f327(f103(x55231),x55232)),f109(x55231))) % 153.71/153.54 [5685]E(f327(a111,f53(a834,x56851,x56852)),x56852)+E(f53(a834,f327(a111,x56851),x56852),f327(a111,f53(a834,x56851,x56852))) % 153.71/153.54 [6116]P33(x61161,x61162)+~P134(f327(f327(f329(x61161),f559(x61162,x61161)),f317(x61161,x61162))) % 153.71/153.54 [6150]~P114(x61501)+~P134(f327(f327(f228(x61501),f327(f99(x61501),x61502)),f2(x61501))) % 153.71/153.54 [6151]~P76(x61511)+~P134(f327(f327(f228(x61511),f327(f79(x61511),x61512)),f2(x61511))) % 153.71/153.54 [6245]P134(f327(f327(f228(a1),x62451),f53(a1,x62452,x62451)))+~P134(f327(f327(f228(a1),x62451),f2(a1))) % 153.71/153.54 [6351]E(f327(f327(f297(a834),f327(a111,x63511)),f290(a834,x63512,x63511)),f290(a834,x63512,f327(a111,x63511)))+~P134(f327(f327(f227(a834),x63512),f327(a111,x63511))) % 153.71/153.54 [6572]E(f327(f150(x65721),x65722),x65722)+~P134(f327(f327(f227(a834),f327(f177(f835(x65721)),x65722)),f82(a834))) % 153.71/153.54 [6596]~P76(x65961)+P134(f327(f327(f227(x65961),f327(f83(x65961),f327(f79(x65961),x65962))),f2(x65961))) % 153.71/153.54 [6631]~P33(x66311,x66312)+P33(x66311,f327(f327(f276(x66311,x66311,x66311),x66312),f295(x66311,x66312))) % 153.71/153.54 [6858]~P134(f327(f327(f228(a1),x68582),f2(a1)))+P134(f327(f327(f227(a1),f53(a1,x68581,x68582)),f2(a1))) % 153.71/153.54 [7277]~P1(x72771)+E(f178(x72771,f327(f327(f9(x72771,x72771,x72771),f84(x72771)),f82(x72771)),x72772,f2(x72771)),f327(f99(x72771),x72772)) % 153.71/153.54 [7309]~P116(x73091)+~P134(f327(f327(f228(x73091),f327(f327(f85(x73091),x73092),x73092)),f2(x73091))) % 153.71/153.54 [9794]~P107(x97941)+~P134(f327(f327(f228(x97941),f327(f327(f237(x97941),x97942),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f2(x97941))) % 153.71/153.54 [4508]~E(x45082,f112(x45081))+E(f327(f177(f835(x45081)),x45082),f2(a834)) % 153.71/153.54 [4547]~E(x45471,f2(a834))+E(f327(f327(f84(a834),x45471),x45472),x45472) % 153.71/153.54 [4548]~E(x45482,f2(a834))+E(f327(f327(f85(a834),x45481),x45482),f2(a834)) % 153.71/153.54 [4550]~E(x45501,f2(a834))+E(f327(f327(f85(a834),x45501),x45502),f2(a834)) % 153.71/153.54 [4551]~E(x45512,f2(a1))+E(f327(f327(f44(a1),x45511),x45512),f2(a1)) % 153.71/153.54 [4552]~E(x45522,f2(a834))+E(f327(f327(f237(a834),x45521),x45522),f82(a834)) % 153.71/153.54 [4563]E(x45631,f112(x45632))+~E(f327(f177(f835(x45632)),x45631),f2(a834)) % 153.71/153.54 [4565]~P88(x45651)+E(f327(f327(f85(x45651),x45652),x45652),x45652) % 153.71/153.54 [4567]~P97(x45671)+E(f327(f327(f231(x45671),x45672),x45672),x45672) % 153.71/153.54 [4569]~P97(x45691)+E(f327(f327(f175(x45691),x45692),x45692),x45692) % 153.71/153.54 [4570]~P89(x45701)+E(f327(f327(f100(x45701),x45702),x45702),x45702) % 153.71/153.54 [4572]~P94(x45721)+E(f327(f327(f100(x45721),x45722),x45722),x45722) % 153.71/153.54 [4573]~P89(x45731)+E(f327(f327(f101(x45731),x45732),x45732),x45732) % 153.71/153.54 [4575]~P95(x45751)+E(f327(f327(f101(x45751),x45752),x45752),x45752) % 153.71/153.54 [4591]~P67(x45911)+E(f327(f327(f3(x45911),x45912),x45912),f2(x45911)) % 153.71/153.54 [4603]~P67(x46031)+E(f327(f83(x46031),f327(f83(x46031),x46032)),x46032) % 153.71/153.54 [4604]~P87(x46041)+E(f327(f83(x46041),f327(f83(x46041),x46042)),x46042) % 153.71/153.54 [4621]~E(x46212,f2(a834))+E(f327(f327(f237(a834),x46211),x46212),f327(a111,f2(a834))) % 153.71/153.54 [4654]~P64(x46541)+E(f327(f327(f84(x46541),f2(x46541)),x46542),x46542) % 153.71/153.54 [4655]~P65(x46551)+E(f327(f327(f84(x46551),f2(x46551)),x46552),x46552) % 153.71/153.54 [4656]~P82(x46561)+E(f327(f327(f84(x46561),f2(x46561)),x46562),x46562) % 153.71/153.54 [4657]~P82(x46571)+E(f327(f327(f85(x46571),f82(x46571)),x46572),x46572) % 153.71/153.54 [4658]~P72(x46581)+E(f327(f327(f85(x46581),f82(x46581)),x46582),x46582) % 153.71/153.54 [4659]~P68(x46591)+E(f327(f327(f85(x46591),f82(x46591)),x46592),x46592) % 153.71/153.54 [4660]~P91(x46601)+E(f327(f327(f100(x46601),f176(x46601)),x46602),x46602) % 153.71/153.54 [4661]~P90(x46611)+E(f327(f327(f101(x46611),f234(x46611)),x46612),x46612) % 153.71/153.54 [4678]~P82(x46781)+E(f327(f327(f85(x46781),f2(x46781)),x46782),f2(x46781)) % 153.71/153.54 [4679]~P119(x46791)+E(f327(f327(f85(x46791),f2(x46791)),x46792),f2(x46791)) % 153.71/153.54 [4680]~P7(x46801)+E(f327(f327(f44(x46801),f2(x46801)),x46802),f2(x46801)) % 153.71/153.54 [4681]~P72(x46811)+E(f327(f327(f237(x46811),f82(x46811)),x46812),f82(x46811)) % 153.71/153.54 [4682]~P110(x46821)+E(f327(f327(f278(x46821),f2(x46821)),x46822),f2(x46821)) % 153.71/153.54 [4683]~P90(x46831)+E(f327(f327(f100(x46831),f234(x46831)),x46832),f234(x46831)) % 153.71/153.54 [4684]~P91(x46841)+E(f327(f327(f101(x46841),f176(x46841)),x46842),f176(x46841)) % 153.71/153.54 [4692]E(x46921,f112(x46922))+E(f130(x46922,f327(f151(x46922),x46921)),f327(f127(x46922),x46921)) % 153.71/153.54 [4693]E(x46931,f112(x46932))+E(f327(f127(x46932),f327(f151(x46932),x46931)),f130(x46932,x46931)) % 153.71/153.54 [4694]E(x46941,f2(a834))+~E(f327(f327(f84(a834),x46942),x46941),x46942) % 153.71/153.54 [4700]~P130(x47001)+E(f327(f102(x47001),f327(f99(a1),x47002)),f327(f99(x47001),x47002)) % 153.71/153.54 [4701]~P85(x47011)+E(f327(f102(x47011),f327(f103(a1),x47012)),f327(f103(x47011),x47012)) % 153.71/153.54 [4708]E(x47081,f2(a834))+~E(f327(f327(f84(a834),x47082),x47081),f2(a834)) % 153.71/153.54 [4709]E(x47091,f2(a834))+~E(f327(f327(f84(a834),x47091),x47092),f2(a834)) % 153.71/153.54 [4710]E(x47101,f82(a834))+~E(f327(f327(f85(a834),x47102),x47101),f82(a834)) % 153.71/153.54 [4711]E(x47111,f82(a834))+~E(f327(f327(f85(a834),x47111),x47112),f82(a834)) % 153.71/153.54 [4726]~P107(x47261)+E(f327(f79(x47261),f327(f99(x47261),x47262)),f327(f99(x47261),x47262)) % 153.71/153.54 [4727]~P76(x47271)+E(f327(f79(x47271),f327(f83(x47271),x47272)),f327(f79(x47271),x47272)) % 153.71/153.54 [4728]~P76(x47281)+E(f327(f79(x47281),f327(f79(x47281),x47282)),f327(f79(x47281),x47282)) % 153.71/153.54 [4729]~P65(x47291)+E(f327(f148(x47291),f327(f151(x47291),x47292)),f327(f148(x47291),x47292)) % 153.71/153.54 [4736]~E(x47361,f327(a111,f2(a834)))+E(f327(f327(f237(a834),x47361),x47362),f327(a111,f2(a834))) % 153.71/153.54 [4745]~P67(x47451)+E(f327(f327(f3(x47451),f2(x47451)),x47452),f327(f83(x47451),x47452)) % 153.71/153.54 [4746]~E(x47462,f2(a834))+E(f126(a834,f327(f289(a834,x47461),x47462)),f112(a834)) % 153.71/153.54 [4755]~P85(x47551)+E(f327(f327(f84(x47551),x47552),f327(f103(x47551),a87)),x47552) % 153.71/153.54 [4756]E(x47561,f2(a1))+E(f55(f327(f79(a1),x47562),f327(f79(a1),x47561)),f61(x47562,x47561)) % 153.71/153.54 [4768]~E(x47681,x47682)+P134(f327(f327(f227(a834),x47681),x47682)) % 153.71/153.54 [4772]~E(x47721,x47722)+P134(f327(f327(f274(a834),x47721),x47722)) % 153.71/153.54 [4781]~E(x47811,f2(a98))+E(f327(f327(f84(a834),f327(a22,x47811)),x47812),x47812) % 153.71/153.54 [4782]~E(f327(f103(a1),x47822),f327(f99(a1),x47821))+E(x47821,f327(a104,f327(f103(a1),x47822))) % 153.71/153.54 [4791]~P10(x47911)+P10(f327(f327(f237(a1),x47911),x47912)) % 153.71/153.54 [4792]~P67(x47921)+E(f327(f327(f84(x47921),x47922),f327(f83(x47921),x47922)),f2(x47921)) % 153.71/153.54 [4793]~P87(x47931)+E(f327(f327(f100(x47931),x47932),f327(f83(x47931),x47932)),f234(x47931)) % 153.71/153.54 [4794]~P87(x47941)+E(f327(f327(f101(x47941),x47942),f327(f83(x47941),x47942)),f176(x47941)) % 153.71/153.54 [4818]E(x48181,f2(a834))+~E(f327(f83(a1),f327(f99(a1),x48182)),f327(f99(a1),x48181)) % 153.71/153.54 [4819]E(x48191,f2(a834))+~E(f327(f83(a1),f327(f99(a1),x48191)),f327(f99(a1),x48192)) % 153.71/153.54 [4831]E(f183(x48311,x48312),f2(a1))+P134(f327(f327(f227(a1),x48312),x48311)) % 153.71/153.54 [4832]E(f233(x48321,x48322),f2(a98))+P134(f327(f327(f228(a98),x48321),x48322)) % 153.71/153.54 [4833]E(f159(x48331,x48332),f112(a1))+P134(f327(f327(f227(a1),x48331),x48332)) % 153.71/153.54 [4846]E(x48461,f327(a111,f2(a834)))+~E(f327(f327(f85(a834),x48462),x48461),f327(a111,f2(a834))) % 153.71/153.54 [4847]E(x48471,f327(a111,f2(a834)))+~E(f327(f327(f85(a834),x48471),x48472),f327(a111,f2(a834))) % 153.71/153.54 [4848]~P100(x48481)+P134(f327(f327(f227(x48481),x48482),x48482)) % 153.71/153.54 [4849]~P82(x48491)+P134(f327(f327(f274(x48491),x48492),x48492)) % 153.71/153.54 [4852]~P85(x48521)+E(f327(f327(f85(x48521),x48522),f327(f103(x48521),a96)),f327(f83(x48521),x48522)) % 153.71/153.54 [4869]~P130(x48691)+E(f327(f83(x48691),f327(f102(x48691),x48692)),f327(f102(x48691),f327(f83(a1),x48692))) % 153.71/153.54 [4870]~P85(x48701)+E(f327(f83(x48701),f327(f103(x48701),x48702)),f327(f103(x48701),f327(f83(a1),x48702))) % 153.71/153.54 [4903]~E(x49031,f327(a111,x49032))+P134(f327(f327(f228(a834),f2(a834)),x49031)) % 153.71/153.54 [4920]~P97(x49201)+E(f327(f83(f841(x49201,a831)),f327(f252(x49201),x49202)),f327(f253(x49201),x49202)) % 153.71/153.54 [4921]~P97(x49211)+E(f327(f83(f841(x49211,a831)),f327(f291(x49211),x49212)),f327(f288(x49211),x49212)) % 153.71/153.54 [4922]~P97(x49221)+E(f327(f83(f841(x49221,a831)),f327(f288(x49221),x49222)),f327(f291(x49221),x49222)) % 153.71/153.54 [4923]~P97(x49231)+E(f327(f83(f841(x49231,a831)),f327(f253(x49231),x49232)),f327(f252(x49231),x49232)) % 153.71/153.54 [4931]~E(f327(f99(a1),x49312),x49311)+P134(f327(f327(f227(a1),f2(a1)),x49311)) % 153.71/153.54 [4938]~E(x49382,f2(a1))+E(f61(x49381,x49382),f327(f327(f236(a1,a1),f2(a1)),f327(f79(a1),x49381))) % 153.71/153.54 [4940]~P98(x49401)+P134(f327(f327(f227(x49401),f176(x49401)),x49402)) % 153.71/153.54 [4941]~P82(x49411)+P134(f327(f327(f274(x49411),f82(x49411)),x49412)) % 153.71/153.54 [4971]E(x49711,x49712)+~E(f327(f327(f84(a1),x49711),x49711),f327(f327(f84(a1),x49712),x49712)) % 153.71/153.54 [4975]~P134(f327(x49751,x49752))+P134(f327(x49751,f327(a104,f597(x49751)))) % 153.71/153.54 [5001]~P107(x50011)+E(f327(f327(f85(x50011),f86(x50011,x50012)),f327(f79(x50011),x50012)),x50012) % 153.71/153.54 [5008]~E(x50082,f2(a834))+E(f89(f840(a834,a834),f56(x50081,x50082)),f327(f327(f236(a834,a834),f2(a834)),x50081)) % 153.71/153.54 [5019]~E(x50191,x50192)+~P134(f327(f327(f228(a834),x50191),x50192)) % 153.71/153.54 [5020]~E(x50201,x50202)+~P134(f327(f327(f228(a1),x50201),x50202)) % 153.71/153.54 [5023]~P1(x50231)+E(f327(f327(f84(x50231),f82(x50231)),f327(f99(x50231),x50232)),f327(f99(x50231),f327(a111,x50232))) % 153.71/153.54 [5027]~E(x50271,f2(a834))+~P134(f327(f327(f228(a834),x50272),x50271)) % 153.71/153.54 [5040]E(f137(x50401,x50402),x50402)+~E(f327(f177(f835(x50401)),f137(x50401,x50402)),f327(f177(f835(x50401)),x50402)) % 153.71/153.54 [5041]E(f327(f43(x50411),f327(f154(x50411),x50412)),f327(f177(f835(x50411)),x50412))+~P134(f327(f124(x50411),x50412)) % 153.71/153.54 [5052]~P134(f327(x50521,f599(x50521)))+P134(f327(x50521,f327(f99(a1),x50522))) % 153.71/153.54 [5063]E(f233(x50631,x50632),x50632)+~P134(f327(f327(f228(a98),x50631),x50632)) % 153.71/153.54 [5065]E(f262(x50651,x50652),f82(a98))+~P134(f327(f327(f228(a98),x50652),x50651)) % 153.71/153.54 [5066]E(f159(x50661,x50662),f112(a1))+~P134(f327(f327(f228(a1),x50662),x50661)) % 153.71/153.54 [5069]~P96(x50691)+E(f290(x50691,x50692,x50692),f327(f327(f297(x50691),x50692),f176(f841(x50691,a831)))) % 153.71/153.54 [5088]~E(f327(f327(f3(a834),x50881),x50882),f2(a834))+P134(f327(f327(f227(a834),x50881),x50882)) % 153.71/153.54 [5115]~P100(x51151)+~P134(f327(f327(f228(x51151),x51152),x51152)) % 153.71/153.54 [5118]~E(f53(a1,x51181,x51182),f2(a1))+E(f53(a1,x51181,f327(f83(a1),x51182)),f2(a1)) % 153.71/153.54 [5120]~E(f53(a1,x51201,x51202),f2(a1))+E(f53(a1,f327(f83(a1),x51201),x51202),f2(a1)) % 153.71/153.54 [5126]E(f327(f289(a834,x51261),f327(a111,x51262)),f176(f841(a834,a831)))+P134(f327(f327(f227(a834),x51261),x51262)) % 153.71/153.54 [5143]E(f126(a834,f327(f289(a834,x51431),x51432)),f112(a834))+P134(f327(f327(f228(a834),x51431),x51432)) % 153.71/153.54 [5148]~E(f327(f43(x51481),f327(f154(x51481),x51482)),f327(f177(f835(x51481)),x51482))+P134(f327(f124(x51481),x51482)) % 153.71/153.54 [5152]~P134(f327(f124(x51521),x51522))+P134(f327(f124(x51521),f327(f150(x51521),x51522))) % 153.71/153.54 [5153]~P134(f327(f124(x51531),x51532))+P134(f327(f124(x51531),f327(f153(x51531),x51532))) % 153.71/153.54 [5154]~P134(f327(f124(x51541),x51542))+P134(f327(f124(x51541),f327(f151(x51541),x51542))) % 153.71/153.54 [5162]P134(f327(x51621,x51622))+~P134(f327(x51621,f327(a104,f598(x51621)))) % 153.71/153.54 [5163]P134(f327(f327(f227(a834),x51632),x51631))+P134(f327(f327(f227(a834),x51631),x51632)) % 153.71/153.54 [5164]P134(f327(f327(f227(a1),x51642),x51641))+P134(f327(f327(f227(a1),x51641),x51642)) % 153.71/153.54 [5166]~P76(x51661)+P134(f327(f327(f227(x51661),x51662),f327(f79(x51661),x51662))) % 153.71/153.54 [5169]P134(f327(x51691,f633(x51691)))+~P134(f327(x51691,f327(f99(a1),x51692))) % 153.71/153.54 [5193]E(f327(f327(f44(a834),x51931),x51932),f2(a834))+~P134(f327(f327(f228(a834),x51931),x51932)) % 153.71/153.54 [5195]E(f327(f327(f3(a834),x51951),x51952),f2(a834))+~P134(f327(f327(f227(a834),x51951),x51952)) % 153.71/153.54 [5212]E(f53(a834,x52121,x52122),x52121)+~P134(f327(f327(f228(a834),x52121),x52122)) % 153.71/153.54 [5219]E(f53(a1,x52191,f327(f83(a1),x52192)),f279(x52191,x52192))+P134(f327(f327(f227(a1),f2(a1)),x52192)) % 153.71/153.54 [5233]E(f327(f327(f3(a1),x52331),x52332),f183(x52331,x52332))+~P134(f327(f327(f227(a1),x52332),x52331)) % 153.71/153.54 [5251]P134(f327(f327(f227(a1),f2(a1)),f599(x52511)))+P134(f327(x52511,f327(f99(a1),x52512))) % 153.71/153.54 [5264]~P114(x52641)+P134(f327(f327(f227(x52641),f2(x52641)),f327(f99(x52641),x52642))) % 153.71/153.54 [5265]~P76(x52651)+P134(f327(f327(f227(x52651),f2(x52651)),f327(f79(x52651),x52652))) % 153.71/153.54 [5293]E(f327(f327(f84(a834),x52931),f602(x52932,x52931)),x52932)+~P134(f327(f327(f227(a834),x52931),x52932)) % 153.71/153.54 [5294]E(f327(f327(f84(a834),x52941),f500(x52942,x52941)),x52942)+~P134(f327(f327(f228(a834),x52941),x52942)) % 153.71/153.54 [5306]~E(f327(f103(a1),x53061),f327(f99(a1),x53062))+P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x53061))) % 153.71/153.54 [5309]E(f290(a1,x53091,x53092),f176(f841(a1,a831)))+~P134(f327(f327(f228(a1),x53092),x53091)) % 153.71/153.54 [5312]~P107(x53121)+E(f327(f327(f85(x53121),f327(f79(x53121),x53122)),f327(f79(x53121),x53122)),f327(f327(f85(x53121),x53122),x53122)) % 153.71/153.54 [5317]E(f126(a834,f327(f289(a834,x53171),f327(a111,x53172))),f112(a834))+P134(f327(f327(f227(a834),x53171),x53172)) % 153.71/153.54 [5320]E(f327(f327(f44(a1),x53201),x53202),f280(x53201,x53202))+~P134(f327(f327(f227(a1),f2(a1)),x53202)) % 153.71/153.54 [5342]P134(f327(f124(x53421),x53422))+~P134(f327(f124(x53421),f327(f150(x53421),x53422))) % 153.71/153.54 [5343]P134(f327(f124(x53431),x53432))+~P134(f327(f124(x53431),f327(f151(x53431),x53432))) % 153.71/153.54 [5366]P134(f327(f66(a834),x53661))+P134(f327(f327(f329(a834),f391(x53661,x53662)),x53661)) % 153.71/153.54 [5367]P134(f327(f66(a834),x53671))+P134(f327(f327(f329(a834),f393(x53671,x53672)),x53671)) % 153.71/153.54 [5368]P134(f327(f327(f228(a834),x53682),f327(a111,x53681)))+P134(f327(f327(f228(a834),x53681),x53682)) % 153.71/153.54 [5369]E(f53(a1,x53691,x53692),f279(x53691,x53692))+~P134(f327(f327(f227(a1),f2(a1)),x53692)) % 153.71/153.54 [5372]E(f126(a834,f327(f289(a834,x53721),x53722)),f112(a834))+~P134(f327(f327(f227(a834),x53722),x53721)) % 153.71/153.54 [5373]~P74(x53731)+E(f327(f298(x53731,x53731,f83(x53731)),f327(f252(x53731),x53732)),f327(f291(x53731),f327(f83(x53731),x53732))) % 153.71/153.54 [5374]~P74(x53741)+E(f327(f298(x53741,x53741,f83(x53741)),f327(f291(x53741),x53742)),f327(f252(x53741),f327(f83(x53741),x53742))) % 153.71/153.54 [5375]~P74(x53751)+E(f327(f298(x53751,x53751,f83(x53751)),f327(f288(x53751),x53752)),f327(f253(x53751),f327(f83(x53751),x53752))) % 153.71/153.54 [5376]~P74(x53761)+E(f327(f298(x53761,x53761,f83(x53761)),f327(f253(x53761),x53762)),f327(f288(x53761),f327(f83(x53761),x53762))) % 153.71/153.54 [5387]E(x53871,f176(f841(x53872,a831)))+P134(f327(f327(f329(x53872),f395(x53871,x53872)),x53871)) % 153.71/153.54 [5388]E(x53881,f176(f841(x53882,a831)))+P134(f327(f327(f329(x53882),f396(x53881,x53882)),x53881)) % 153.71/153.54 [5399]~P134(f327(f327(f228(a834),x53991),x53992))+P134(f327(f327(f227(a834),x53991),x53992)) % 153.71/153.54 [5400]~P134(f327(f327(f228(a1),x54001),x54002))+P134(f327(f327(f227(a1),x54001),x54002)) % 153.71/153.54 [5413]E(f55(x54131,x54132),f327(f327(f236(a1,a1),f2(a1)),x54131))+~P134(f327(f327(f228(a1),x54131),x54132)) % 153.71/153.54 [5414]E(f205(f327(f83(a1),x54141),f327(f83(a1),x54142)),f205(x54141,x54142))+~P134(f327(f327(f228(a1),x54142),f2(a1))) % 153.71/153.54 [5428]E(x54281,x54282)+~E(f327(a5,f327(a111,f327(a22,x54281))),f327(a5,f327(a111,f327(a22,x54282)))) % 153.71/153.54 [5433]E(f55(x54331,x54332),f327(f327(f236(a1,a1),f2(a1)),x54331))+~P134(f327(f327(f227(a1),x54332),f2(a1))) % 153.71/153.54 [5460]E(f53(a834,f327(f103(a834),x54601),f327(f103(a834),x54602)),f2(a834))+~P134(f327(a182,f327(f103(a1),x54601))) % 153.71/153.54 [5474]P134(f327(f327(f227(a1),f2(a1)),f633(x54741)))+~P134(f327(x54741,f327(f99(a1),x54742))) % 153.71/153.54 [5509]P35(f290(a1,x55091,x55092))+~P134(f327(f327(f227(a1),f2(a1)),x55091)) % 153.71/153.54 [5513]~P134(f327(f66(x55131),x55132))+P134(f327(f66(f841(x55131,a831)),f327(f296(x55131),x55132))) % 153.71/153.54 [5530]E(f327(f327(f84(a1),x55301),f327(f99(a1),f711(x55302,x55301))),x55302)+~P134(f327(f327(f227(a1),x55301),x55302)) % 153.71/153.54 [5538]P134(f327(f327(f227(a834),x55381),x55382))+P134(f327(f327(f227(a834),f327(a111,x55382)),x55381)) % 153.71/153.54 [5584]E(f327(f327(f44(a834),f327(f103(a834),x55841)),f327(f103(a834),x55842)),f2(a834))+~P134(f327(a182,f327(f103(a1),x55841))) % 153.71/153.54 [5585]E(f327(f327(f85(a834),f327(f103(a834),x55851)),f327(f103(a834),x55852)),f2(a834))+~P134(f327(f327(f228(a1),x55851),a87)) % 153.71/153.54 [5587]P134(f327(f327(f228(a834),x55871),f327(a111,x55872)))+~P134(f327(f327(f228(a834),x55871),x55872)) % 153.71/153.54 [5589]P134(f327(f327(f228(a834),x55891),f327(a111,x55892)))+~P134(f327(f327(f227(a834),x55891),x55892)) % 153.71/153.54 [5591]P134(f327(f327(f227(a834),x55911),f327(a111,x55912)))+~P134(f327(f327(f227(a834),x55911),x55912)) % 153.71/153.54 [5592]~E(x55921,x55922)+P134(f327(f327(f228(a1),x55921),f327(f327(f84(a1),x55922),f82(a1)))) % 153.71/153.54 [5595]E(f53(a1,x55951,x55952),f2(a1))+E(f327(f327(f3(a1),x55952),f53(a1,x55951,x55952)),f53(a1,f327(f83(a1),x55951),x55952)) % 153.71/153.54 [5603]E(x56031,f112(x56032))+P134(f327(f327(f329(x56032),f130(x56032,x56031)),f327(f154(x56032),x56031))) % 153.71/153.54 [5616]E(f89(f840(a834,a834),f56(x56161,x56162)),f327(f327(f236(a834,a834),f2(a834)),x56161))+~P134(f327(f327(f228(a834),x56161),x56162)) % 153.71/153.54 [5659]E(f327(f327(f84(a834),f327(f103(a834),x56591)),f327(f103(a834),x56592)),f327(f103(a834),x56592))+~P134(f327(f327(f228(a1),x56591),a87)) % 153.71/153.54 [5660]E(f327(f327(f3(a834),f327(f103(a834),x56601)),f327(f103(a834),x56602)),f327(f103(a834),x56601))+~P134(f327(f327(f228(a1),x56602),a87)) % 153.71/153.54 [5667]E(f327(a111,f327(f327(f84(a834),x56671),f488(x56672,x56671))),x56672)+~P134(f327(f327(f228(a834),x56671),x56672)) % 153.71/153.54 [5668]E(f327(a111,f327(f327(f84(a834),x56681),f501(x56682,x56681))),x56682)+~P134(f327(f327(f228(a834),x56681),x56682)) % 153.71/153.54 [5675]~P134(f327(f327(f274(a1),x56751),x56752))+P134(f327(f327(f274(a1),x56751),f327(f83(a1),x56752))) % 153.71/153.54 [5676]P134(f327(f327(f228(a834),f2(a834)),f500(x56761,x56762)))+~P134(f327(f327(f228(a834),x56762),x56761)) % 153.71/153.54 [5695]P134(f327(x56951,x56952))+~P134(f327(x56951,f327(a93,f586(x56952,x56951)))) % 153.71/153.54 [5703]~P134(f327(f327(f228(a834),x57031),f327(a111,x57032)))+P134(f327(f327(f227(a834),x57031),x57032)) % 153.71/153.54 [5752]E(f327(f327(f297(a834),x57521),f327(f289(a834,x57522),x57521)),f327(f289(a834,x57522),f327(a111,x57521)))+~P134(f327(f327(f227(a834),x57522),x57521)) % 153.71/153.54 [5758]E(x57581,f112(x57582))+E(f327(f327(f122(x57582),f113(x57582,x57581)),f327(f327(f136(x57582),f130(x57582,x57581)),f112(x57582))),x57581) % 153.71/153.54 [5769]P134(f327(f66(x57691),x57692))+~P134(f327(f327(f228(a834),f2(a834)),f327(f43(x57691),x57692))) % 153.71/153.54 [5773]~E(x57731,f176(f841(x57732,a831)))+~P134(f327(f327(f228(a834),f2(a834)),f327(f43(x57732),x57731))) % 153.71/153.54 [5784]~P134(f327(f327(f228(a834),x57841),x57842))+P134(f327(f327(f227(a834),f327(a111,x57841)),x57842)) % 153.71/153.54 [5795]E(x57951,f112(x57952))+P134(f327(f327(f329(x57952),f327(f127(x57952),x57951)),f327(f154(x57952),x57951))) % 153.71/153.54 [5803]~P114(x58031)+P134(f327(f327(f228(x58031),x58032),f327(f327(f84(x58031),x58032),f82(x58031)))) % 153.71/153.54 [5805]~P76(x58051)+P134(f327(f327(f227(x58051),f327(f83(x58051),x58052)),f327(f79(x58051),x58052))) % 153.71/153.54 [5817]P134(f327(f327(f274(a1),x58171),x58172))+~P134(f327(f327(f274(a1),x58171),f327(f83(a1),x58172))) % 153.71/153.54 [5818]~E(x58181,x58182)+E(f277(a834,f274(a834),x58181,x58182),f327(f327(f297(a834),x58181),f176(f841(a834,a831)))) % 153.71/153.54 [5835]P134(f327(f66(a834),x58351))+~P134(f327(f327(f228(a834),f391(x58351,x58352)),x58352)) % 153.71/153.54 [5836]P134(f327(f66(a834),x58361))+~P134(f327(f327(f227(a834),f393(x58361,x58362)),x58362)) % 153.71/153.54 [5839]~P134(f327(f66(f840(x58391,x58391)),x58392))+P134(f327(f66(x58391),f327(f271(x58391),x58392))) % 153.71/153.54 [5895]E(f277(a834,f274(a834),x58951,x58952),f176(f841(a834,a831)))+P134(f327(f327(f274(a834),x58951),x58952)) % 153.71/153.54 [5898]~P134(f327(f327(f228(a834),x58982),f327(a111,x58981)))+~P134(f327(f327(f228(a834),x58981),x58982)) % 153.71/153.54 [5899]~P96(x58991)+E(f327(f327(f101(f841(x58991,a831)),f327(f288(x58991),x58992)),f327(f253(x58991),x58992)),f327(f327(f297(x58991),x58992),f176(f841(x58991,a831)))) % 153.71/153.54 [5912]P134(f327(f66(x59121),x59122))+~P134(f327(f66(f841(x59121,a831)),f327(f296(x59121),x59122))) % 153.71/153.54 [5936]P134(f327(f327(f228(a834),f327(a111,x59361)),f327(a111,x59362)))+~P134(f327(f327(f228(a834),x59361),x59362)) % 153.71/153.54 [5937]P134(f327(f327(f228(a834),f327(a22,x59371)),f327(a22,x59372)))+~P134(f327(f327(f228(a98),x59371),x59372)) % 153.71/153.54 [5938]P134(f327(f327(f228(a98),f327(a5,x59381)),f327(a5,x59382)))+~P134(f327(f327(f228(a834),x59381),x59382)) % 153.71/153.54 [5939]P134(f327(f327(f227(a834),f327(a111,x59391)),f327(a111,x59392)))+~P134(f327(f327(f227(a834),x59391),x59392)) % 153.71/153.54 [5940]P134(f327(f327(f227(a834),f327(a22,x59401)),f327(a22,x59402)))+~P134(f327(f327(f227(a98),x59401),x59402)) % 153.71/153.54 [5941]P134(f327(f327(f227(a98),f327(a5,x59411)),f327(a5,x59412)))+~P134(f327(f327(f227(a834),x59411),x59412)) % 153.71/153.54 [5944]E(x59441,x59442)+~E(f327(f298(a834,a1,f99(a1)),x59441),f327(f298(a834,a1,f99(a1)),x59442)) % 153.71/153.54 [5960]P134(f327(f327(f228(a834),x59601),x59602))+~P134(f327(f327(f228(a834),f327(a111,x59601)),x59602)) % 153.71/153.54 [5963]P134(f327(f327(f228(a834),x59631),x59632))+~P134(f327(f327(f227(a834),f327(a111,x59631)),x59632)) % 153.71/153.54 [5964]P134(f327(f327(f227(a834),x59641),x59642))+~P134(f327(f327(f227(a834),f327(a111,x59641)),x59642)) % 153.71/153.54 [5981]E(f53(a1,x59811,x59812),f2(a1))+E(f327(f327(f3(a1),f53(a1,x59811,x59812)),x59812),f53(a1,x59811,f327(f83(a1),x59812))) % 153.71/153.54 [6052]E(f327(f43(f841(x60521,a831)),f327(f296(x60521),x60522)),f327(f327(f237(a834),f327(a111,f327(a111,f2(a834)))),f327(f43(x60521),x60522)))+~P134(f327(f66(x60521),x60522)) % 153.71/153.54 [6055]E(x60551,f112(x60552))+E(f327(f327(f146(x60552),x60551),f327(f327(f3(a834),f327(f177(f835(x60552)),x60551)),f82(a834))),f130(x60552,x60551)) % 153.71/153.54 [6082]E(x60821,f112(x60822))+E(f327(f327(f122(x60822),f327(f153(x60822),x60821)),f327(f327(f136(x60822),f327(f127(x60822),x60821)),f112(x60822))),f327(f150(x60822),x60821)) % 153.71/153.54 [6113]~P134(f327(f66(x61131),f45(f841(x61131,a831),x61132)))+P134(f327(f66(f841(x61131,a831)),x61132)) % 153.71/153.54 [6134]P134(f327(f327(f227(a834),f327(f103(a834),x61341)),f327(f103(a834),x61342)))+~P134(f327(f327(f227(a1),x61341),a87)) % 153.71/153.54 [6154]~P134(f327(f327(f228(a1),x61541),x61542))+P134(f327(f327(f228(a1),x61541),f327(f327(f84(a1),x61542),f82(a1)))) % 153.71/153.54 [6155]~P134(f327(f327(f227(a1),x61551),x61552))+P134(f327(f327(f228(a1),x61551),f327(f327(f84(a1),x61552),f82(a1)))) % 153.71/153.54 [6156]~P134(f327(f327(f228(a1),x61561),x61562))+P134(f327(f327(f227(a1),x61561),f327(f327(f3(a1),x61562),f82(a1)))) % 153.71/153.54 [6159]~P134(f327(f327(f228(a834),x61591),x61592))+P134(f327(f327(f228(a1),f327(f99(a1),x61591)),f327(f99(a1),x61592))) % 153.71/153.54 [6160]~P134(f327(f327(f228(a1),x61601),x61602))+P134(f327(f327(f228(a1),f327(f103(a1),x61601)),f327(f103(a1),x61602))) % 153.71/153.54 [6161]~P134(f327(f327(f227(a1),x61611),x61612))+P134(f327(f327(f227(a834),f327(f103(a834),x61611)),f327(f103(a834),x61612))) % 153.71/153.54 [6163]~P134(f327(f327(f227(a834),x61631),x61632))+P134(f327(f327(f227(a1),f327(f99(a1),x61631)),f327(f99(a1),x61632))) % 153.71/153.54 [6164]~P134(f327(f327(f227(a1),x61641),x61642))+P134(f327(f327(f227(a1),f327(f103(a1),x61641)),f327(f103(a1),x61642))) % 153.71/153.54 [6166]~P134(f327(f327(f274(a834),x61661),x61662))+P134(f327(f327(f274(a1),f327(f99(a1),x61661)),f327(f99(a1),x61662))) % 153.71/153.54 [6184]~P134(f327(f327(f227(a834),x61841),x61842))+~P134(f327(f327(f227(a834),f327(a111,x61842)),x61841)) % 153.71/153.54 [6232]~P134(f327(f327(f228(a834),f327(a111,x62321)),f327(a111,x62322)))+P134(f327(f327(f228(a834),x62321),x62322)) % 153.71/153.54 [6233]~P134(f327(f327(f228(a98),f327(a5,x62331)),f327(a5,x62332)))+P134(f327(f327(f228(a834),x62331),x62332)) % 153.71/153.54 [6234]~P134(f327(f327(f228(a834),f327(a104,x62341)),f327(a104,x62342)))+P134(f327(f327(f228(a1),x62341),x62342)) % 153.71/153.54 [6235]~P134(f327(f327(f228(a834),f327(a22,x62351)),f327(a22,x62352)))+P134(f327(f327(f228(a98),x62351),x62352)) % 153.71/153.54 [6236]~P134(f327(f327(f227(a834),f327(a111,x62361)),f327(a111,x62362)))+P134(f327(f327(f227(a834),x62361),x62362)) % 153.71/153.54 [6237]~P134(f327(f327(f227(a98),f327(a5,x62371)),f327(a5,x62372)))+P134(f327(f327(f227(a834),x62371),x62372)) % 153.71/153.54 [6238]~P134(f327(f327(f227(a834),f327(a22,x62381)),f327(a22,x62382)))+P134(f327(f327(f227(a98),x62381),x62382)) % 153.71/153.54 [6281]~P134(f327(f327(f228(a834),f327(a104,x62812)),f327(a104,x62811)))+P134(f327(f327(f228(a1),f2(a1)),x62811)) % 153.71/153.54 [6292]~E(f53(a1,f327(f103(a1),x62922),f327(f103(a1),x62921)),f2(a1))+P134(f327(f327(f274(a1),f327(f103(a1),x62921)),f327(f103(a1),x62922))) % 153.71/153.54 [6310]P134(f327(f327(f227(a1),f2(a1)),f53(a1,x63101,x63102)))+~P134(f327(f327(f228(a1),f2(a1)),x63102)) % 153.71/153.54 [6475]P33(x64751,x64752)+~E(f327(f327(f276(x64751,x64751,x64751),x64752),x64752),f176(f841(f840(x64751,x64751),a831))) % 153.71/153.54 [6491]~P33(x64911,x64912)+P33(x64911,f327(f327(f276(x64911,x64911,x64911),x64912),x64912)) % 153.71/153.54 [6502]P134(f327(f327(f228(a1),x65021),x65022))+~P134(f327(f327(f227(a1),x65021),f327(f327(f3(a1),x65022),f82(a1)))) % 153.71/153.54 [6503]P134(f327(f327(f227(a1),x65031),x65032))+~P134(f327(f327(f228(a1),x65031),f327(f327(f84(a1),x65032),f82(a1)))) % 153.71/153.54 [6506]P134(f327(f327(f228(a834),x65061),x65062))+~P134(f327(f327(f228(a1),f327(f99(a1),x65061)),f327(f99(a1),x65062))) % 153.71/153.54 [6507]P134(f327(f327(f228(a1),x65071),x65072))+~P134(f327(f327(f228(a834),f327(f103(a834),x65071)),f327(f103(a834),x65072))) % 153.71/153.54 [6508]P134(f327(f327(f228(a1),x65081),x65082))+~P134(f327(f327(f228(a1),f327(f103(a1),x65081)),f327(f103(a1),x65082))) % 153.71/153.54 [6510]P134(f327(f327(f227(a834),x65101),x65102))+~P134(f327(f327(f227(a1),f327(f99(a1),x65101)),f327(f99(a1),x65102))) % 153.71/153.54 [6511]P134(f327(f327(f227(a1),x65111),x65112))+~P134(f327(f327(f227(a1),f327(f103(a1),x65111)),f327(f103(a1),x65112))) % 153.71/153.54 [6513]P134(f327(f327(f274(a834),x65131),x65132))+~P134(f327(f327(f274(a1),f327(f99(a1),x65131)),f327(f99(a1),x65132))) % 153.71/153.54 [6568]E(f53(a1,f327(f103(a1),x65681),f327(f103(a1),x65682)),f2(a1))+~P134(f327(f327(f274(a1),f327(f103(a1),x65682)),f327(f103(a1),x65681))) % 153.71/153.54 [6583]~E(f277(a834,f274(a834),x65831,x65832),f176(f841(a834,a831)))+~P134(f327(f327(f274(a834),x65831),x65832)) % 153.71/153.54 [6612]~E(f750(x66122,x66121),f112(x66121))+E(f327(f128(f835(x66121),f835(x66121),f122(x66121),f112(x66121)),x66122),f112(x66121)) % 153.71/153.54 [6613]~E(f752(x66132,x66131),f112(x66131))+E(f327(f128(f835(x66131),f835(x66131),f122(x66131),f112(x66131)),x66132),f112(x66131)) % 153.71/153.54 [6619]~P9(x66191)+E(f327(f128(x66191,x66191,f101(x66191),f234(x66191)),x66192),f46(x66191,f327(f154(x66191),x66192))) % 153.71/153.54 [6620]~P9(x66201)+E(f327(f128(x66201,x66201,f100(x66201),f176(x66201)),x66202),f45(x66201,f327(f154(x66201),x66202))) % 153.71/153.54 [6632]E(x66321,f2(a98))+E(f327(f327(f84(a834),f327(a22,f327(f327(f3(a98),x66321),f82(a98)))),f327(a111,x66322)),f327(f327(f84(a834),f327(a22,x66321)),x66322)) % 153.71/153.54 [6683]P134(f327(f327(f228(a1),f327(f327(f3(a1),x66831),x66832)),f2(a1)))+~P134(f327(f327(f228(a1),x66831),x66832)) % 153.71/153.54 [6710]~P97(x67101)+E(f327(f327(f100(f841(x67101,a831)),f327(f327(f297(x67101),x67102),f176(f841(x67101,a831)))),f327(f291(x67101),x67102)),f327(f253(x67101),x67102)) % 153.71/153.54 [6791]~P56(x67911,x67912)+P33(x67911,f327(f251(f840(x67911,x67911)),f327(f246(x67911,x67911,a831),x67912))) % 153.71/153.54 [6792]~P56(x67921,x67922)+P54(x67921,f327(f251(f840(x67921,x67921)),f327(f246(x67921,x67921,a831),x67922))) % 153.71/153.54 [6793]E(x67931,f176(f841(x67932,a831)))+~P134(f327(f327(f227(f841(x67932,a831)),x67931),f176(f841(x67932,a831)))) % 153.71/153.54 [6882]~P134(f327(f327(f228(a834),f2(a834)),x68822))+P134(f327(f327(f228(a834),f53(a834,x68821,x68822)),x68822)) % 153.71/153.54 [6884]~P134(f327(f327(f228(a1),f2(a1)),x68842))+P134(f327(f327(f228(a1),f53(a1,x68841,x68842)),x68842)) % 153.71/153.54 [6885]~P134(f327(f327(f228(a834),f2(a834)),x68852))+P134(f327(f327(f227(a834),f53(a834,x68851,x68852)),x68852)) % 153.71/153.54 [6886]~P134(f327(f327(f227(a1),f2(a1)),x68861))+P134(f327(f327(f227(a1),f53(a1,x68861,x68862)),x68861)) % 153.71/153.54 [6958]~P96(x69581)+E(f327(f327(f3(f841(x69581,a831)),f327(f327(f297(x69581),x69582),f176(f841(x69581,a831)))),f327(f252(x69581),x69582)),f327(f327(f297(x69581),x69582),f176(f841(x69581,a831)))) % 153.71/153.54 [7038]~P47(x70381,x70382)+P45(x70381,f234(f841(x70381,a831)),f327(f251(f840(x70381,x70381)),f327(f246(x70381,x70381,a831),x70382))) % 153.71/153.54 [7039]P134(f327(x70391,x70392))+P134(f327(f327(f329(f841(f840(a834,a834),a831)),f586(x70392,x70391)),a97)) % 153.71/153.54 [7082]E(f327(f327(f122(a834),f126(a834,f327(f289(a834,x70821),x70822))),f327(f327(f136(a834),x70822),f112(a834))),f126(a834,f327(f289(a834,x70821),f327(a111,x70822))))+~P134(f327(f327(f227(a834),x70821),x70822)) % 153.71/153.54 [7241]E(x72411,f2(a834))+~E(f327(f128(a834,a834,f84(a834),x72411),x72412),f2(a834)) % 153.71/153.54 [7268]~P134(f327(f327(f228(a1),f327(f327(f3(a1),x72681),x72682)),f2(a1)))+P134(f327(f327(f228(a1),x72681),x72682)) % 153.71/153.54 [7298]P33(x72981,x72982)+~P33(x72981,f327(f327(f276(x72981,x72981,x72981),x72982),x72982)) % 153.71/153.54 [7329]~P134(f327(f327(f227(a834),f327(a111,x73291)),x73292))+P134(f171(a831,a174,f327(f227(a834),x73291),x73292)) % 153.71/153.54 [7487]P28(a834,a834,f327(f327(f9(a834,a834,a834),f3(a834)),x74871),x74872)+P134(f327(f327(f329(a834),f589(x74871,x74872)),x74872)) % 153.71/153.54 [7545]E(f327(f327(f327(f70(a834,x75451,f84(a834)),f327(f18(a834,x75451),f82(a834))),f2(a834)),x75452),f327(f43(x75451),x75452))+~P134(f327(f66(x75451),x75452)) % 153.71/153.54 [7588]P28(a834,a834,f327(f327(f9(a834,a834,a834),f3(a834)),x75881),x75882)+~P134(f327(f327(f227(a834),x75881),f589(x75881,x75882))) % 153.71/153.54 [7644]P33(x76441,x76442)+P134(f327(f327(f227(f841(x76441,a831)),f584(x76442,x76441)),f327(f272(x76441,x76441,x76442),f584(x76442,x76441)))) % 153.71/153.54 [7649]P56(x76491,x76492)+~P33(x76491,f327(f251(f840(x76491,x76491)),f327(f246(x76491,x76491,a831),x76492))) % 153.71/153.54 [7719]P134(f327(f327(f227(a834),f327(a111,x77191)),x77192))+~P134(f171(a831,a174,f327(f227(a834),x77191),x77192)) % 153.71/153.54 [7776]P134(f327(f327(f329(f840(a834,a834)),f327(f327(f236(a834,a834),x77761),x77762)),f295(a834,a318)))+~P134(f327(f327(f227(a834),x77761),x77762)) % 153.71/153.54 [7870]P47(x78701,x78702)+~P45(x78701,f234(f841(x78701,a831)),f327(f251(f840(x78701,x78701)),f327(f246(x78701,x78701,a831),x78702))) % 153.71/153.54 [8118]~P33(x81181,f327(f273(x81181,x81181),x81182))+P33(x81181,f327(f273(x81181,x81181),f327(f327(f276(x81181,x81181,x81181),x81182),f295(x81181,x81182)))) % 153.71/153.54 [8235]P134(f327(f66(f840(x82351,x82351)),f327(f327(f276(x82351,x82351,x82351),x82352),f295(x82351,x82352))))+~P134(f327(f66(f840(x82351,x82351)),x82352)) % 153.71/153.54 [8264]E(x82641,f2(a1))+P134(f327(f57(x82642,x82641),f327(f327(f236(a1,a1),f327(f327(f44(a1),x82642),x82641)),f53(a1,x82642,x82641)))) % 153.71/153.54 [8278]~P134(f327(f327(f329(f840(a834,a834)),f327(f327(f236(a834,a834),x82781),x82782)),f295(a834,a318)))+P134(f327(f327(f227(a834),x82781),x82782)) % 153.71/153.54 [8295]~P64(x82951)+E(f327(f128(x82951,x82951,f327(f9(x82951,x82951,x82951),f84(x82951)),f2(x82951)),f327(f151(x82951),x82952)),f327(f128(x82951,x82951,f84(x82951),f2(x82951)),x82952)) % 153.71/153.54 [8561]P134(f327(f327(f329(f840(a834,a834)),f327(f327(f236(a834,a834),x85611),x85612)),f327(f327(f276(a834,a834,a834),a318),f295(a834,a318))))+~P134(f327(f327(f228(a834),x85611),x85612)) % 153.71/153.54 [8603]~P134(f327(f66(f840(x86031,x86031)),f327(f327(f276(x86031,x86031,x86031),x86032),f295(x86031,x86032))))+P134(f327(f66(f840(x86031,x86031)),x86032)) % 153.71/153.54 [8820]P54(x88201,x88202)+P134(f327(f327(f329(f840(x88201,x88201)),f327(f327(f236(x88201,x88201),f617(x88202,x88201)),f617(x88202,x88201))),f327(f327(f276(x88201,x88201,x88201),x88202),f295(x88201,x88202)))) % 153.71/153.54 [8821]P54(x88211,x88212)+P134(f327(f327(f329(f840(x88211,x88211)),f327(f327(f236(x88211,x88211),f656(x88212,x88211)),f656(x88212,x88211))),f327(f327(f276(x88211,x88211,x88211),x88212),f295(x88211,x88212)))) % 153.71/153.54 [8928]~P134(f327(f327(f329(f840(a834,a834)),f327(f327(f236(a834,a834),x89281),x89282)),f327(f327(f276(a834,a834,a834),a318),f295(a834,a318))))+P134(f327(f327(f228(a834),x89281),x89282)) % 153.71/153.54 [4916]~P85(x49161)+E(f327(f327(f84(x49161),f327(f103(x49161),a87)),x49162),x49162) % 153.71/153.54 [4946]~P67(x49461)+E(f327(f327(f84(x49461),f327(f83(x49461),x49462)),x49462),f2(x49461)) % 153.71/153.54 [4947]~P6(x49471)+E(f327(f327(f84(x49471),f327(f83(x49471),x49472)),x49472),f2(x49471)) % 153.71/153.54 [4948]~P87(x49481)+E(f327(f327(f100(x49481),f327(f83(x49481),x49482)),x49482),f234(x49481)) % 153.71/153.54 [4949]~P87(x49491)+E(f327(f327(f101(x49491),f327(f83(x49491),x49492)),x49492),f176(x49491)) % 153.71/153.54 [4979]~P85(x49791)+E(f327(f327(f85(x49791),f327(f103(x49791),a96)),x49792),f327(f83(x49791),x49792)) % 153.71/153.54 [5137]~P101(x51371)+E(f327(f327(f85(x51371),f327(f83(x51371),f82(x51371))),x51372),f327(f83(x51371),x51372)) % 153.71/153.54 [5179]E(f327(f79(a1),x51791),f82(a1))+~E(f327(f79(a1),f327(f327(f85(a1),x51791),x51792)),f82(a1)) % 153.71/153.54 [5267]~P85(x52671)+E(f327(f327(f84(x52671),f82(x52671)),f327(f103(x52671),x52672)),f327(f103(x52671),f327(f327(f3(a1),x52672),a96))) % 153.71/153.54 [5321]~P89(x53211)+E(f15(x53211,f327(f327(f297(x53211),x53212),f176(f841(x53211,a831)))),x53212) % 153.71/153.54 [5322]~P97(x53221)+E(f16(x53221,f327(f327(f297(x53221),x53222),f176(f841(x53221,a831)))),x53222) % 153.71/153.54 [5323]~P97(x53231)+E(f17(x53231,f327(f327(f297(x53231),x53232),f176(f841(x53231,a831)))),x53232) % 153.71/153.54 [5324]~P89(x53241)+E(f12(x53241,f327(f327(f297(x53241),x53242),f176(f841(x53241,a831)))),x53242) % 153.71/153.54 [5325]~P9(x53251)+E(f46(x53251,f327(f327(f297(x53251),x53252),f176(f841(x53251,a831)))),x53252) % 153.71/153.54 [5326]~P9(x53261)+E(f45(x53261,f327(f327(f297(x53261),x53262),f176(f841(x53261,a831)))),x53262) % 153.71/153.54 [5350]E(f327(f327(f84(a834),x53501),f327(f327(f3(a834),x53502),x53501)),x53502)+P134(f327(f327(f228(a834),x53502),x53501)) % 153.71/153.54 [5382]E(x53821,f112(x53822))+P134(f327(f327(f228(a834),f2(a834)),f327(f177(f835(x53822)),x53821))) % 153.71/153.54 [5506]~P97(x55061)+E(f13(x55061,f175(x55061),f327(f327(f297(x55061),x55062),f176(f841(x55061,a831)))),x55062) % 153.71/153.54 [5507]~P97(x55071)+E(f14(x55071,f231(x55071),f327(f327(f297(x55071),x55072),f176(f841(x55071,a831)))),x55072) % 153.71/153.54 [5573]E(f327(f327(f84(a834),x55731),f327(f327(f3(a834),x55732),x55731)),x55732)+~P134(f327(f327(f227(a834),x55731),x55732)) % 153.71/153.54 [5574]E(f327(f327(f85(a1),x55741),f327(f327(f44(a1),x55742),x55741)),x55742)+~P134(f327(f327(f274(a1),x55741),x55742)) % 153.71/153.54 [5575]E(f327(f327(f3(a834),x55751),f327(f327(f3(a834),x55751),x55752)),x55752)+~P134(f327(f327(f227(a834),x55752),x55751)) % 153.71/153.54 [5594]E(f53(a834,f327(f327(f3(a834),x55941),x55942),x55942),f53(a834,x55941,x55942))+P134(f327(f327(f228(a834),x55941),x55942)) % 153.71/153.54 [5604]E(f327(f83(a1),f327(f327(f44(a1),x56041),f327(f83(a1),x56042))),f280(x56041,x56042))+P134(f327(f327(f227(a1),f2(a1)),x56042)) % 153.71/153.54 [5606]~E(x56062,f2(a834))+P134(f327(f327(f228(a834),f2(a834)),f327(f327(f237(a834),x56061),x56062))) % 153.71/153.54 [5672]~P85(x56721)+E(f327(f327(f84(x56721),f327(f83(x56721),f82(x56721))),f327(f103(x56721),x56722)),f327(f103(x56721),f327(f327(f84(a1),x56722),a96))) % 153.71/153.54 [5673]E(f327(f327(f237(a834),f327(f103(a834),x56731)),x56732),f327(f327(f237(a834),f2(a834)),x56732))+~P134(f327(a182,f327(f103(a1),x56731))) % 153.71/153.54 [5776]E(f327(f127(a834),f126(a834,f327(f289(a834,x57761),x57762))),x57761)+~P134(f327(f327(f228(a834),x57761),x57762)) % 153.71/153.54 [5796]E(f327(f327(f85(a834),f327(f103(a834),x57961)),f327(f103(a834),x57962)),f327(f103(a834),f327(f327(f85(a1),x57961),x57962)))+P134(f327(f327(f228(a1),x57961),a87)) % 153.71/153.54 [5804]~P116(x58041)+P134(f327(f327(f227(x58041),f2(x58041)),f327(f327(f85(x58041),x58042),x58042))) % 153.71/153.54 [5816]E(f327(f327(f3(a834),f327(a111,x58161)),x58162),f327(a111,f327(f327(f3(a834),x58161),x58162)))+~P134(f327(f327(f227(a834),x58162),x58161)) % 153.71/153.54 [5819]E(f53(a834,f327(f327(f3(a834),x58191),x58192),x58192),f53(a834,x58191,x58192))+~P134(f327(f327(f227(a834),x58192),x58191)) % 153.71/153.54 [5870]E(f327(f327(f237(a834),f327(a104,x58701)),x58702),f327(a104,f327(f327(f237(a1),x58701),x58702)))+~P134(f327(f327(f227(a1),f2(a1)),x58701)) % 153.71/153.54 [5890]P134(f327(f124(x58901),x58902))+P134(f327(f327(f228(a834),f705(x58902,x58901)),f327(f177(f835(x58901)),x58902))) % 153.71/153.54 [5891]P134(f327(f124(x58911),x58912))+P134(f327(f327(f228(a834),f708(x58912,x58911)),f327(f177(f835(x58911)),x58912))) % 153.71/153.54 [5903]~P134(f327(f327(f274(a1),x59031),x59032))+P134(f327(f327(f274(a1),f327(f83(a1),x59031)),x59032)) % 153.71/153.54 [5906]~E(x59061,f112(x59062))+~P134(f327(f327(f228(a834),f2(a834)),f327(f177(f835(x59062)),x59061))) % 153.71/153.54 [5919]E(f130(a834,f126(a834,f327(f289(a834,x59191),x59192))),f327(f327(f3(a834),x59192),f82(a834)))+~P134(f327(f327(f228(a834),x59191),x59192)) % 153.71/153.54 [5922]E(f327(f327(f84(a1),x59221),f327(f99(a1),f327(a111,f532(x59222,x59221)))),x59222)+~P134(f327(f327(f228(a1),x59221),x59222)) % 153.71/153.54 [5929]E(x59291,f2(a834))+E(f327(f327(f85(a834),x59292),f327(f327(f237(a834),x59292),f327(f327(f3(a834),x59291),f82(a834)))),f327(f327(f237(a834),x59292),x59291)) % 153.71/153.54 [5954]E(f327(f327(f85(a834),f327(a104,x59541)),f327(a104,x59542)),f327(a104,f327(f327(f85(a1),x59541),x59542)))+~P134(f327(f327(f227(a1),f2(a1)),x59541)) % 153.71/153.54 [5955]E(f327(f327(f44(a834),f327(a104,x59551)),f327(a104,x59552)),f327(a104,f327(f327(f44(a1),x59551),x59552)))+~P134(f327(f327(f227(a1),f2(a1)),x59551)) % 153.71/153.54 [5969]~P82(x59691)+E(f327(f327(f84(x59691),x59692),x59692),f327(f327(f85(x59691),f327(f327(f84(x59691),f82(x59691)),f82(x59691))),x59692)) % 153.71/153.54 [5988]E(f327(f327(f44(a1),f327(f79(a1),x59881)),f327(f79(a1),x59882)),f327(f79(a1),f327(f327(f44(a1),x59881),x59882)))+~P134(f327(f327(f274(a1),x59882),x59881)) % 153.71/153.54 [5989]E(f327(f327(f3(a1),f327(f99(a1),x59891)),f327(f99(a1),x59892)),f327(f99(a1),f327(f327(f3(a834),x59891),x59892)))+~P134(f327(f327(f227(a834),x59892),x59891)) % 153.71/153.54 [5991]E(f327(f327(f236(a1,a1),f327(f103(a1),a96)),f327(f327(f84(a1),x59911),x59912)),f58(x59911,x59912))+~P134(f327(f327(f227(a1),x59912),f2(a1))) % 153.71/153.54 [6030]E(f160(x60301,x60302),f112(f835(x60301)))+P134(f327(f327(f329(f835(x60301)),f704(x60302,x60301)),f327(f154(f835(x60301)),x60302))) % 153.71/153.54 [6097]~P134(f327(f327(f274(a834),x60971),x60972))+P134(f327(f327(f274(a834),x60971),f327(f327(f84(a834),x60972),x60971))) % 153.71/153.54 [6119]E(f327(f327(f136(a1),x61191),f159(f327(f327(f84(a1),x61191),f82(a1)),x61192)),f159(x61191,x61192))+~P134(f327(f327(f227(a1),x61191),x61192)) % 153.71/153.54 [6157]~P134(f327(f327(f228(a834),x61572),x61571))+P134(f327(f327(f228(a834),f2(a834)),f327(f327(f3(a834),x61571),x61572))) % 153.71/153.54 [6191]~P134(f327(f327(f228(a834),x61911),f327(a104,x61912)))+P134(f327(f327(f228(a1),f327(f99(a1),x61911)),x61912)) % 153.71/153.54 [6194]P134(f327(f327(f274(a1),x61941),x61942))+~P134(f327(f327(f274(a1),f327(f83(a1),x61941)),x61942)) % 153.71/153.54 [6222]~P97(x62221)+E(f327(f327(f100(f841(x62221,a831)),f327(f252(x62221),x62222)),f327(f327(f297(x62221),x62222),f176(f841(x62221,a831)))),f327(f288(x62221),x62222)) % 153.71/153.54 [6225]~P134(f327(f327(f228(a834),f2(a834)),x62251))+P134(f327(f327(f228(a834),f2(a834)),f327(f327(f237(a834),x62251),x62252))) % 153.71/153.54 [6226]~P134(f327(f327(f227(a1),f2(a1)),x62261))+P134(f327(f327(f227(a1),f2(a1)),f327(f327(f237(a1),x62261),x62262))) % 153.71/153.54 [6253]~E(f327(x62531,f2(a834)),f2(a834))+E(f327(f327(f8(a834,a834),x62531),f290(a834,f327(a111,f2(a834)),x62532)),f327(f327(f8(a834,a834),x62531),f290(a834,f2(a834),x62532))) % 153.71/153.54 [6318]~P85(x63181)+E(f327(f327(f85(x63181),f327(f327(f84(x63181),f82(x63181)),f82(x63181))),f327(f103(x63181),x63182)),f327(f103(x63181),f327(f327(f84(a1),x63182),x63182))) % 153.71/153.54 [6340]E(f327(f327(f297(a1),x63401),f290(a1,f327(f327(f84(a1),x63401),f82(a1)),x63402)),f290(a1,x63401,x63402))+P134(f327(f327(f228(a1),x63402),x63401)) % 153.71/153.54 [6341]P134(f327(f327(f228(a834),x63411),f327(a104,x63412)))+~P134(f327(f327(f228(a1),f327(f99(a1),x63411)),x63412)) % 153.71/153.54 [6440]P134(f327(f327(f274(a834),x64401),x64402))+~P134(f327(f327(f274(a834),x64401),f327(f327(f84(a834),x64402),x64401))) % 153.71/153.54 [6444]E(f327(a104,f327(f327(f44(a1),f327(f103(a1),x64441)),f327(f103(a1),x64442))),f327(f327(f44(a834),f327(f103(a834),x64441)),f327(f103(a834),x64442)))+P134(f327(a182,f327(f103(a1),x64441))) % 153.71/153.54 [6504]P134(f327(f327(f228(a834),x65041),x65042))+~P134(f327(f327(f228(a834),f2(a834)),f327(f327(f3(a834),x65042),x65041))) % 153.71/153.54 [6547]P134(f327(f327(f228(a834),f2(a834)),x65471))+~P134(f327(f327(f228(a834),f2(a834)),f327(f327(f85(a834),x65472),x65471))) % 153.71/153.54 [6548]P134(f327(f327(f228(a834),f2(a834)),x65481))+~P134(f327(f327(f228(a834),f2(a834)),f327(f327(f85(a834),x65481),x65482))) % 153.71/153.54 [6564]~P134(f327(f327(f227(a1),x65641),f2(a1)))+E(f327(f327(f85(a834),f327(a104,f327(f83(a1),x65641))),f327(a104,f327(f83(a1),x65642))),f327(a104,f327(f327(f85(a1),x65641),x65642))) % 153.71/153.54 [6630]~E(x66302,f176(f841(x66301,a831)))+P134(f327(f327(f227(f841(x66301,a831)),x66302),f327(f83(f841(x66301,a831)),x66302))) % 153.71/153.54 [6692]~P85(x66921)+E(f327(f327(f84(x66921),f327(f327(f84(x66921),f2(x66921)),f327(f103(x66921),x66922))),f327(f103(x66921),x66922)),f327(f103(x66921),f327(f327(f84(a1),x66922),x66922))) % 153.71/153.54 [6701]~P134(f327(f327(f274(a1),f327(f99(a1),x67011)),x67012))+P134(f327(f327(f274(a834),x67011),f327(a104,f327(f79(a1),x67012)))) % 153.71/153.54 [6752]~P134(f327(f327(f228(a1),x67521),x67522))+P134(f327(f327(f227(a1),f327(f327(f84(a1),x67521),f82(a1))),x67522)) % 153.71/153.54 [6790]P134(f327(f327(f274(a1),f327(f99(a1),x67901)),x67902))+~P134(f327(f327(f274(a834),x67901),f327(a104,f327(f79(a1),x67902)))) % 153.71/153.54 [6823]E(x68231,f2(a834))+~P134(f327(f327(f227(a1),f327(f99(a1),x68232)),f327(f83(a1),f327(f99(a1),x68231)))) % 153.71/153.54 [6824]E(x68241,f2(a834))+~P134(f327(f327(f227(a1),f327(f99(a1),x68241)),f327(f83(a1),f327(f99(a1),x68242)))) % 153.71/153.54 [6932]E(f327(f327(f236(a1,a1),f327(f103(a1),a96)),f327(f327(f84(a1),x69321),x69322)),f58(x69321,x69322))+~P134(f327(f327(f227(a1),f2(a1)),f327(f327(f84(a1),x69321),x69322))) % 153.71/153.54 [6971]~P29(x69711,x69712)+P33(x69711,f327(f235(f841(f840(x69711,x69711),a831),f841(f840(x69711,x69711),a831)),x69712)) % 153.71/153.54 [6992]~P134(f327(f327(f227(a834),f327(a111,f2(a834))),x69921))+P134(f327(f327(f227(a834),f327(a111,f2(a834))),f327(f327(f237(a834),x69921),x69922))) % 153.71/153.54 [7165]~P134(f327(f327(f228(a1),x71651),x71652))+P134(f327(f327(f228(a1),f327(f327(f84(a1),x71651),x71651)),f327(f327(f84(a1),x71652),x71652))) % 153.71/153.54 [7177]~P134(f327(f327(f227(a1),x71771),x71772))+P134(f327(f327(f227(a1),f327(f327(f84(a1),x71771),x71771)),f327(f327(f84(a1),x71772),x71772))) % 153.71/153.54 [7243]~P134(f327(f327(f228(a834),f2(a834)),x72431))+P134(f327(f327(f228(a834),f327(f327(f3(a834),x72431),f327(a111,x72432))),x72431)) % 153.71/153.54 [7280]P134(f327(f327(f227(a834),f327(a111,f2(a834))),x72801))+~P134(f327(f327(f227(a834),f327(a111,f2(a834))),f327(f327(f85(a834),x72802),x72801))) % 153.71/153.54 [7281]P134(f327(f327(f227(a834),f327(a111,f2(a834))),x72811))+~P134(f327(f327(f227(a834),f327(a111,f2(a834))),f327(f327(f85(a834),x72811),x72812))) % 153.71/153.54 [7285]P134(f327(f327(f227(a834),f327(f327(f146(a834),x72851),x72852)),f327(f148(a834),x72851)))+~P134(f327(f327(f228(a834),x72852),f327(f177(f835(a834)),x72851))) % 153.71/153.54 [7328]P134(f327(f327(f228(a1),x73281),x73282))+~P134(f327(f327(f227(a1),f327(f327(f84(a1),x73281),f82(a1))),x73282)) % 153.71/153.54 [7372]P134(f327(f66(x73721),f234(f841(x73721,a831))))+~P134(f327(f66(f841(x73722,x73721)),f234(f841(f841(x73722,x73721),a831)))) % 153.71/153.54 [7373]P134(f327(f66(x73731),f234(f841(x73731,a831))))+~P134(f327(f66(f842(x73732,x73731)),f234(f841(f842(x73732,x73731),a831)))) % 153.71/153.54 [7374]P134(f327(f66(x73741),f234(f841(x73741,a831))))+~P134(f327(f66(f842(x73741,x73742)),f234(f841(f842(x73741,x73742),a831)))) % 153.71/153.54 [7412]E(x74121,f176(f841(x74122,a831)))+~P134(f327(f327(f227(f841(x74122,a831)),x74121),f327(f83(f841(x74122,a831)),x74121))) % 153.71/153.54 [7555]E(f327(f128(f835(x75551),f835(x75551),f122(x75551),f112(x75551)),x75552),f112(x75551))+P134(f327(f327(f329(f835(x75551)),f750(x75552,x75551)),f327(f154(f835(x75551)),x75552))) % 153.71/153.54 [7556]E(f327(f128(f835(x75561),f835(x75561),f122(x75561),f112(x75561)),x75562),f112(x75561))+P134(f327(f327(f329(f835(x75561)),f752(x75562,x75561)),f327(f154(f835(x75561)),x75562))) % 153.71/153.54 [7796]P134(f327(f327(f228(a1),x77961),x77962))+~P134(f327(f327(f228(a1),f327(f327(f84(a1),x77961),x77961)),f327(f327(f84(a1),x77962),x77962))) % 153.71/153.54 [7799]P134(f327(f327(f227(a1),x77991),x77992))+~P134(f327(f327(f227(a1),f327(f327(f84(a1),x77991),x77991)),f327(f327(f84(a1),x77992),x77992))) % 153.71/153.54 [7891]~P82(x78911)+E(f327(f327(f85(x78911),f327(f327(f84(x78911),f82(x78911)),f82(x78911))),f327(f327(f8(a834,x78911),f99(x78911)),f290(a834,f82(a834),x78912))),f327(f327(f85(x78911),f327(f99(x78911),x78912)),f327(f327(f84(x78911),f327(f99(x78911),x78912)),f82(x78911)))) % 153.71/153.54 [7939]P134(f327(f327(f329(a834),x79391),x79392))+~P134(f327(f327(f329(a1),f327(f99(a1),x79391)),f327(f298(a834,a1,f99(a1)),x79392))) % 153.71/153.54 [8090]~P134(f327(f66(x80901),x80902))+E(f327(f298(a834,x80901,f560(x80902,x80901)),f327(f251(a834),f327(f327(f9(a834,a834,a831),f228(a834)),f561(x80902,x80901)))),x80902) % 153.71/153.54 [8362]P46(x83621,x83622)+P134(f327(f327(f329(f840(x83621,x83621)),f327(f327(f236(x83621,x83621),f450(x83622,x83621)),f450(x83622,x83621))),x83622)) % 153.71/153.54 [8495]~P85(x84951)+E(f327(f327(f3(x84951),f82(x84951)),f327(f103(x84951),x84952)),f327(f103(x84951),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f83(a1),x84952)))) % 153.71/153.54 [8599]~P134(f327(f327(f228(f841(a834,a831)),x85991),x85992))+P134(f327(f327(f228(f841(a1,a831)),f327(f298(a834,a1,f99(a1)),x85991)),f327(f298(a834,a1,f99(a1)),x85992))) % 153.71/153.54 [8627]~P134(f327(f327(f228(a1),x86271),x86272))+P134(f327(f327(f228(a1),f327(f327(f3(a1),f327(f327(f84(a1),x86271),x86271)),a96)),f327(f327(f84(a1),x86272),x86272))) % 153.71/153.54 [8629]~P134(f327(f327(f228(a1),x86291),x86292))+P134(f327(f327(f227(a1),f327(f327(f3(a1),f327(f327(f84(a1),x86291),x86291)),a96)),f327(f327(f84(a1),x86292),x86292))) % 153.71/153.54 [8696]~P134(f327(f327(f329(a834),x86961),f327(f154(a834),x86962)))+P134(f327(f327(f227(a834),x86961),f327(f128(a834,a834,f84(a834),f2(a834)),x86962))) % 153.71/153.54 [8766]P42(x87661,x87662)+~P134(f327(f327(f329(f840(x87661,x87661)),f327(f327(f236(x87661,x87661),f421(x87662,x87661)),f421(x87662,x87661))),x87662)) % 153.71/153.54 [8895]~P134(f327(f327(f228(f841(a1,a831)),f327(f298(a834,a1,f99(a1)),x88951)),f327(f298(a834,a1,f99(a1)),x88952)))+P134(f327(f327(f228(f841(a834,a831)),x88951),x88952)) % 153.71/153.54 [8896]~P134(f327(f327(f227(f841(a1,a831)),f327(f298(a834,a1,f99(a1)),x88961)),f327(f298(a834,a1,f99(a1)),x88962)))+P134(f327(f327(f227(f841(a834,a831)),x88961),x88962)) % 153.71/153.54 [8977]P134(f327(f327(f228(a1),x89771),x89772))+~P134(f327(f327(f228(a1),f327(f327(f3(a1),f327(f327(f84(a1),x89771),x89771)),a96)),f327(f327(f84(a1),x89772),x89772))) % 153.71/153.54 [8979]P134(f327(f327(f228(a1),x89791),x89792))+~P134(f327(f327(f227(a1),f327(f327(f3(a1),f327(f327(f84(a1),x89791),x89791)),a96)),f327(f327(f84(a1),x89792),x89792))) % 153.71/153.54 [9832]~P134(f327(f66(x98321),x98322))+E(f327(f177(f835(x98321)),f94(f835(x98321),f327(f327(f20(f835(x98321),a831,a831),f327(f327(f10(a831,f841(a831,a831),f835(x98321)),a325),f327(f327(f9(f835(x98321),f841(x98321,a831),a831),f327(f327(f10(f841(x98321,a831),f841(f841(x98321,a831),a831),f835(x98321)),a324),f154(x98321))),x98322))),f124(x98321)))),f204(x98321,x98322)) % 153.71/153.54 [5918]E(f327(f327(f84(a834),f327(f327(f3(a834),x59181),x59182)),x59182),x59181)+~P134(f327(f327(f227(a834),x59182),x59181)) % 153.71/153.54 [5984]E(f327(f327(f44(a834),f327(f327(f85(a834),x59841),x59842)),x59842),x59841)+~P134(f327(f327(f228(a834),f2(a834)),x59842)) % 153.71/153.54 [5985]E(f327(f327(f44(a834),f327(f327(f85(a834),x59851),x59852)),x59851),x59852)+~P134(f327(f327(f228(a834),f2(a834)),x59851)) % 153.71/153.54 [5990]~P65(x59901)+E(f327(f327(f8(a834,x59901),f327(f146(x59901),x59902)),f327(f289(a834,f2(a834)),f327(f177(f835(x59901)),x59902))),f327(f148(x59901),x59902)) % 153.71/153.54 [6111]E(f53(a834,f327(a111,f327(f327(f85(a834),x61111),x61112)),x61111),f82(a834))+~P134(f327(f327(f228(a834),f82(a834)),x61111)) % 153.71/153.54 [6117]E(f327(a111,f327(f327(f84(a834),f327(f103(a834),x61171)),x61172)),f327(f327(f84(a834),f82(a834)),x61172))+~P134(f327(a182,f327(f103(a1),x61171))) % 153.71/153.54 [6143]E(f327(a104,f327(f327(f237(a1),f327(f103(a1),x61431)),x61432)),f327(f327(f237(a834),f327(f103(a834),x61431)),x61432))+P134(f327(a182,f327(f103(a1),x61431))) % 153.71/153.54 [6395]E(f327(f327(f3(a834),x63951),f327(f103(a834),f327(f327(f84(a1),x63952),a96))),f327(f327(f3(a834),f327(a111,x63951)),f327(f103(a834),x63952)))+~P134(f327(f327(f228(a1),a87),x63952)) % 153.71/153.54 [6474]E(x64741,f2(a834))+E(f327(a111,f327(f327(f84(a834),f327(f327(f3(a834),x64741),f82(a834))),x64742)),f327(f327(f84(a834),x64741),x64742)) % 153.71/153.54 [6518]E(x65181,f2(a1))+P134(f327(f327(f228(a1),f2(a1)),f327(f327(f237(a1),f327(f79(a1),x65181)),x65182))) % 153.71/153.54 [6533]~E(x65332,f2(a834))+P134(f327(f327(f228(a1),f2(a1)),f327(f327(f237(a1),f327(f79(a1),x65331)),x65332))) % 153.71/153.54 [6569]E(x65691,f2(a834))+E(f327(f327(f84(a834),x65692),f327(f327(f85(a834),f327(f327(f3(a834),x65691),f82(a834))),x65692)),f327(f327(f85(a834),x65691),x65692)) % 153.71/153.54 [6624]~P134(f327(f327(f227(a1),x66241),x66242))+P134(f327(f327(f228(a1),f327(f327(f84(a1),x66241),a96)),x66242)) % 153.71/153.54 [6756]E(f327(f327(f136(a834),x67561),f126(a834,f327(f289(a834,f327(a111,x67561)),x67562))),f126(a834,f327(f289(a834,x67561),x67562)))+~P134(f327(f327(f228(a834),x67561),x67562)) % 153.71/153.54 [6926]~P134(f327(f327(f274(a1),x69261),f327(f99(a1),x69262)))+P134(f327(f327(f274(a834),f327(a104,f327(f79(a1),x69261))),x69262)) % 153.71/153.54 [6962]E(x69621,x69622)+~E(f327(f327(f3(a1),f327(f327(f84(a1),x69621),x69621)),a96),f327(f327(f3(a1),f327(f327(f84(a1),x69622),x69622)),a96)) % 153.71/153.54 [6965]E(x69651,f112(x69652))+E(f258(x69652,f327(f327(f138(x69652,f840(a98,x69652)),f327(f236(a98,x69652),f82(a98))),x69651)),f265(x69652,x69651)) % 153.71/153.54 [7208]P134(f327(f327(f227(a1),x72081),x72082))+~P134(f327(f327(f228(a1),f327(f327(f84(a1),x72081),a96)),x72082)) % 153.71/153.54 [7347]P134(f327(f327(f274(a1),x73471),f327(f99(a1),x73472)))+~P134(f327(f327(f274(a834),f327(a104,f327(f79(a1),x73471))),x73472)) % 153.71/153.54 [7693]~P134(f327(f327(f228(a834),x76931),x76932))+P134(f327(f327(f329(f840(a834,a834)),f327(f327(f236(a834,a834),x76931),x76932)),a232)) % 153.71/153.54 [7918]~P134(f327(f327(f228(a98),f2(a98)),x79181))+P134(f327(f327(f228(a98),f327(f235(a98,f840(a98,a98)),f327(f259(x79181),x79182))),x79181)) % 153.71/153.54 [8214]~P76(x82141)+P134(f327(f327(f227(x82141),f327(f79(x82141),f327(f148(x82141),x82142))),f327(f148(x82141),f327(f327(f138(x82141,x82141),f79(x82141)),x82142)))) % 153.71/153.54 [8237]P134(f327(f327(f228(a834),x82371),x82372))+~P134(f327(f327(f329(f840(a834,a834)),f327(f327(f236(a834,a834),x82371),x82372)),a232)) % 153.71/153.54 [8383]E(f327(f327(f236(x83831,x83831),f675(x83832,x83831)),f675(x83832,x83831)),x83832)+~P134(f327(f327(f329(f840(x83831,x83831)),x83832),f295(x83831,f176(f841(f840(x83831,x83831),a831))))) % 153.71/153.54 [8428]E(f327(f289(a834,x84281),f327(f327(f84(a834),x84281),f327(f43(a834),x84282))),x84282)+~P134(f327(f327(f227(f841(a834,a831)),x84282),f327(f289(a834,x84281),f327(f327(f84(a834),x84281),f327(f43(a834),x84282))))) % 153.71/153.54 [8728]E(f327(f327(f44(a1),f327(f103(a1),f327(f327(f3(a1),f327(f327(f84(a1),x87281),x87281)),a96))),f327(f103(a1),f327(f327(f84(a1),x87282),x87282))),f327(f327(f44(a1),f327(f103(a1),x87281)),f327(f103(a1),x87282)))+~P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x87282))) % 153.71/153.54 [8830]E(f158(f835(x88301),f327(f327(f10(a831,a831,f835(x88301)),a323),f327(f327(f9(f835(x88301),f835(x88301),a831),a324),f112(x88301))),x88302),f160(x88301,f160(x88301,x88302)))+~P18(a834,f327(f151(a834),f327(f327(f138(f835(x88301),a834),f177(f835(x88301))),x88302))) % 153.71/153.54 [8833]E(f327(f327(f44(a1),f327(f103(a1),f327(f327(f3(a1),f327(f327(f84(a1),x88331),x88331)),a96))),f327(f103(a1),f327(f327(f84(a1),x88332),x88332))),f327(f327(f44(a1),f327(f327(f84(a1),f327(f103(a1),x88331)),f82(a1))),f327(f103(a1),x88332)))+P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x88332))) % 153.71/153.54 [9604]P134(f327(a182,x96042))+E(f327(f327(f90(a1,a834),f327(f327(f3(a1),x96041),x96042)),f327(f327(f20(a1,a834,a834),f327(f327(f9(a1,a834,f841(a834,a834)),f327(f327(f10(a831,f841(a834,f841(a834,a834)),a1),f95(a834)),a182)),f2(a834))),a104)),f327(f327(f3(a834),f327(a104,x96041)),f327(a104,x96042))) % 153.71/153.54 [9608]E(f327(f327(f90(a1,a834),f327(f103(a1),f327(f327(f84(a1),x96081),f327(f83(a1),x96082)))),f327(f327(f20(a1,a834,a834),f327(f327(f9(a1,a834,f841(a834,a834)),f327(f327(f10(a831,f841(a834,f841(a834,a834)),a1),f95(a834)),a182)),f2(a834))),a104)),f327(f327(f3(a834),f327(f103(a834),x96081)),f327(f103(a834),x96082)))+P134(f327(f327(f228(a1),x96082),a87)) % 153.71/153.54 [9609]~P29(x96091,x96092)+P134(f327(f327(f227(f841(f840(x96091,x96091),a831)),f327(f327(f276(x96091,x96091,x96091),f327(f235(f841(f840(x96091,x96091),a831),f841(f840(x96091,x96091),a831)),x96092)),f327(f245(f841(f840(x96091,x96091),a831),f841(f840(x96091,x96091),a831)),x96092))),f327(f235(f841(f840(x96091,x96091),a831),f841(f840(x96091,x96091),a831)),x96092))) % 153.71/153.54 [9664]~E(f327(f43(a834),f327(f251(a834),f327(f327(f20(a834,a831,a831),f327(f327(f10(a831,f841(a831,a831),a834),a325),f327(f327(f9(a834,f841(a834,a831),a831),f329(a834)),x96641))),f327(f327(f9(a834,a834,a831),f228(a834)),f327(a111,x96642))))),f2(a834))+~P134(f327(f327(f329(a834),f2(a834)),x96641)) % 153.71/153.54 [9677]E(f286(a834,f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x96771,x96772),f176(f841(a834,a831)))+~P134(f327(f327(f274(a834),x96772),x96771)) % 153.71/153.54 [9685]E(f284(a834,f274(a834),f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x96851,x96852),f176(f841(a834,a831)))+P134(f327(f327(f274(a834),x96851),x96852)) % 153.71/153.54 [9686]E(f287(a834,f274(a834),f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x96861,x96862),f176(f841(a834,a831)))+P134(f327(f327(f274(a834),x96861),x96862)) % 153.71/153.54 [9690]E(f284(a834,f274(a834),f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x96901,x96902),f176(f841(a834,a831)))+~P134(f327(f327(f274(a834),x96902),x96901)) % 153.71/153.54 [9692]E(f287(a834,f274(a834),f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x96921,x96922),f176(f841(a834,a831)))+~P134(f327(f327(f274(a834),x96922),x96921)) % 153.71/153.54 [9735]E(f53(a1,f327(f103(a1),f327(f327(f3(a1),f327(f327(f84(a1),x97351),x97351)),a96)),f327(f103(a1),f327(f327(f84(a1),x97352),x97352))),f327(f327(f84(a1),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f53(a1,f327(f103(a1),x97351),f327(f103(a1),x97352)))),f82(a1)))+~P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x97352))) % 153.71/153.54 [9744]E(f53(a1,f327(f103(a1),f327(f327(f3(a1),f327(f327(f84(a1),x97441),x97441)),a96)),f327(f103(a1),f327(f327(f84(a1),x97442),x97442))),f327(f327(f3(a1),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f53(a1,f327(f327(f84(a1),f327(f103(a1),x97441)),f82(a1)),f327(f103(a1),x97442)))),f82(a1)))+P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x97442))) % 153.71/153.54 [9803]~P9(x98031)+E(f45(x98031,f327(f251(x98031),f327(f327(f10(f841(x98031,a831),a831,x98031),f92(x98031)),f327(f327(f10(f841(x98031,a831),f841(x98031,a831),x98031),f327(f20(x98031,a831,a831),f327(f327(f10(a831,f841(a831,a831),x98031),a330),f327(f327(f9(x98031,f841(x98031,a831),a831),f329(x98031)),x98032)))),f227(x98031))))),f46(x98031,x98032)) % 153.71/153.54 [9825]~P33(x98251,x98252)+P56(x98251,f327(f327(f9(x98251,f841(f840(x98251,x98251),a831),f841(x98251,a831)),f327(f327(f10(f841(x98251,f841(f841(f840(x98251,x98251),a831),a831)),f841(f841(f840(x98251,x98251),a831),f841(x98251,a831)),x98251),f9(x98251,f841(f840(x98251,x98251),a831),a831)),f327(f327(f10(f841(x98251,f840(x98251,x98251)),f841(x98251,f841(f841(f840(x98251,x98251),a831),a831)),x98251),f327(f10(f840(x98251,x98251),f841(f841(f840(x98251,x98251),a831),a831),x98251),f329(f840(x98251,x98251)))),f236(x98251,x98251)))),x98252)) % 153.71/153.54 [9826]~P12(x98261,f234(f841(x98261,a831)),x98262)+P11(x98261,f327(f327(f9(x98261,f841(f840(x98261,x98261),a831),f841(x98261,a831)),f327(f327(f10(f841(x98261,f841(f841(f840(x98261,x98261),a831),a831)),f841(f841(f840(x98261,x98261),a831),f841(x98261,a831)),x98261),f9(x98261,f841(f840(x98261,x98261),a831),a831)),f327(f327(f10(f841(x98261,f840(x98261,x98261)),f841(x98261,f841(f841(f840(x98261,x98261),a831),a831)),x98261),f327(f10(f840(x98261,x98261),f841(f841(f840(x98261,x98261),a831),a831),x98261),f329(f840(x98261,x98261)))),f236(x98261,x98261)))),x98262)) % 153.71/153.54 [9860]P33(x98601,x98602)+~P56(x98601,f327(f327(f9(x98601,f841(f840(x98601,x98601),a831),f841(x98601,a831)),f327(f327(f10(f841(x98601,f841(f841(f840(x98601,x98601),a831),a831)),f841(f841(f840(x98601,x98601),a831),f841(x98601,a831)),x98601),f9(x98601,f841(f840(x98601,x98601),a831),a831)),f327(f327(f10(f841(x98601,f840(x98601,x98601)),f841(x98601,f841(f841(f840(x98601,x98601),a831),a831)),x98601),f327(f10(f840(x98601,x98601),f841(f841(f840(x98601,x98601),a831),a831),x98601),f329(f840(x98601,x98601)))),f236(x98601,x98601)))),x98602)) % 153.71/153.54 [9861]P12(x98611,f234(f841(x98611,a831)),x98612)+~P11(x98611,f327(f327(f9(x98611,f841(f840(x98611,x98611),a831),f841(x98611,a831)),f327(f327(f10(f841(x98611,f841(f841(f840(x98611,x98611),a831),a831)),f841(f841(f840(x98611,x98611),a831),f841(x98611,a831)),x98611),f9(x98611,f841(f840(x98611,x98611),a831),a831)),f327(f327(f10(f841(x98611,f840(x98611,x98611)),f841(x98611,f841(f841(f840(x98611,x98611),a831),a831)),x98611),f327(f10(f840(x98611,x98611),f841(f841(f840(x98611,x98611),a831),a831),x98611),f329(f840(x98611,x98611)))),f236(x98611,x98611)))),x98612)) % 153.71/153.54 [7153]E(f327(f327(f84(a834),f327(f103(a834),f327(f327(f3(a1),x71531),a96))),x71532),f327(a111,f327(f327(f84(a834),f327(f103(a834),x71531)),x71532)))+P134(f327(a182,f327(f103(a1),x71531))) % 153.71/153.54 [7613]~P85(x76131)+E(f327(f327(f84(x76131),f327(f327(f84(x76131),f82(x76131)),f327(f103(x76131),x76132))),f327(f103(x76131),x76132)),f327(f103(x76131),f327(f327(f3(a1),f327(f327(f84(a1),x76132),x76132)),a96))) % 153.71/153.54 [8239]~P134(f327(f327(f227(a1),x82391),x82392))+P134(f327(f327(f228(a1),f327(f327(f84(a1),x82391),x82391)),f327(f327(f3(a1),f327(f327(f84(a1),x82392),x82392)),a96))) % 153.71/153.54 [8241]~P134(f327(f327(f227(a1),x82411),x82412))+P134(f327(f327(f227(a1),f327(f327(f84(a1),x82411),x82411)),f327(f327(f3(a1),f327(f327(f84(a1),x82412),x82412)),a96))) % 153.71/153.54 [8631]P134(f327(f327(f227(a1),x86311),x86312))+~P134(f327(f327(f228(a1),f327(f327(f84(a1),x86311),x86311)),f327(f327(f3(a1),f327(f327(f84(a1),x86312),x86312)),a96))) % 153.71/153.54 [8633]P134(f327(f327(f227(a1),x86331),x86332))+~P134(f327(f327(f227(a1),f327(f327(f84(a1),x86331),x86331)),f327(f327(f3(a1),f327(f327(f84(a1),x86332),x86332)),a96))) % 153.71/153.54 [8886]~P134(f327(f327(f228(a1),x88861),x88862))+P134(f327(f327(f228(a1),f327(f327(f3(a1),f327(f327(f84(a1),x88861),x88861)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),x88862),x88862)),a96))) % 153.71/153.54 [8888]~P134(f327(f327(f227(a1),x88881),x88882))+P134(f327(f327(f227(a1),f327(f327(f3(a1),f327(f327(f84(a1),x88881),x88881)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),x88882),x88882)),a96))) % 153.71/153.54 [9123]P134(f327(f327(f228(a1),x91231),x91232))+~P134(f327(f327(f228(a1),f327(f327(f3(a1),f327(f327(f84(a1),x91231),x91231)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),x91232),x91232)),a96))) % 153.71/153.54 [9125]P134(f327(f327(f227(a1),x91251),x91252))+~P134(f327(f327(f227(a1),f327(f327(f3(a1),f327(f327(f84(a1),x91251),x91251)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),x91252),x91252)),a96))) % 153.71/153.54 [9156]~P134(f327(f66(x91561),x91562))+P134(f327(f66(f841(x91561,a831)),f327(f251(f841(x91561,a831)),f327(f327(f9(f841(x91561,a831),f841(x91561,a831),a831),f227(f841(x91561,a831))),x91562)))) % 153.71/153.54 [9202]~E(f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),x92021),f176(f841(f840(a834,a834),a831)))),f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),x92022),f176(f841(f840(a834,a834),a831)))))+P134(f327(f327(f329(f840(f840(a834,a834),f840(a834,a834))),f327(f327(f236(f840(a834,a834),f840(a834,a834)),x92021),x92022)),a108)) % 153.71/153.54 [9286]E(f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),x92861),f176(f841(f840(a834,a834),a831)))),f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),x92862),f176(f841(f840(a834,a834),a831)))))+~P134(f327(f327(f329(f840(f840(a834,a834),f840(a834,a834))),f327(f327(f236(f840(a834,a834),f840(a834,a834)),x92861),x92862)),a108)) % 153.71/153.54 [9320]P134(f327(f327(f227(a1),f2(a1)),f681(x93201,x93202)))+E(f327(f251(a1),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f227(a1),f2(a1)))),x93201)),f327(f251(a1),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f227(a1),f2(a1)))),x93202))) % 153.71/153.54 [9811]~P9(x98111)+E(f46(x98111,f327(f251(x98111),f327(f327(f10(f841(x98111,a831),a831,x98111),f92(x98111)),f327(f327(f10(f841(x98111,a831),f841(x98111,a831),x98111),f327(f20(x98111,a831,a831),f327(f327(f10(a831,f841(a831,a831),x98111),a330),f327(f327(f9(x98111,f841(x98111,a831),a831),f329(x98111)),x98112)))),f327(f9(x98111,x98111,a831),f227(x98111)))))),f45(x98111,x98112)) % 153.71/153.54 [9831]P134(f327(f327(f329(a834),f2(a834)),x98311))+E(f327(f43(a834),f327(f251(a834),f327(f327(f20(a834,a831,a831),f327(f327(f10(a831,f841(a831,a831),a834),a325),f327(f327(f9(a834,f841(a834,a831),a831),f327(f327(f10(a834,f841(f841(a834,a831),a831),a834),f329(a834)),a111)),x98311))),f327(f327(f9(a834,a834,a831),f228(a834)),x98312)))),f327(f43(a834),f327(f251(a834),f327(f327(f20(a834,a831,a831),f327(f327(f10(a831,f841(a831,a831),a834),a325),f327(f327(f9(a834,f841(a834,a831),a831),f329(a834)),x98311))),f327(f327(f9(a834,a834,a831),f228(a834)),f327(a111,x98312)))))) % 153.71/153.54 [9875]P134(f327(f327(f274(a834),x98751),x98752))+~P134(f327(f327(f329(a834),x98752),f282(a834,f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x98751))) % 153.71/153.54 [9876]P134(f327(f327(f274(a834),x98761),x98762))+~P134(f327(f327(f329(a834),x98761),f285(a834,f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x98762))) % 153.71/153.54 [9877]~P134(f327(f327(f274(a834),x98771),x98772))+~P134(f327(f327(f329(a834),x98772),f285(a834,f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x98771))) % 153.71/153.54 [9878]~P134(f327(f327(f274(a834),x98781),x98782))+~P134(f327(f327(f329(a834),x98781),f282(a834,f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x98782))) % 153.71/153.54 [7481]~P85(x74811)+E(f327(f327(f85(x74811),x74812),f327(f103(x74811),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),x74812) % 153.71/153.54 [7745]~P85(x77451)+E(f327(f327(f84(x77451),f327(f103(x77451),x77452)),f82(x77451)),f327(f103(x77451),f327(f327(f84(a1),x77452),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))) % 153.71/153.54 [7890]P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x78902)))+E(f327(f327(f237(a1),x78901),f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),x78902),x78902)),a96))),f82(a1)) % 153.71/153.54 [9180]~P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x91802)))+E(f327(f327(f237(a1),x91801),f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),x91802),x91802)),a96))),f327(f327(f90(a1,a1),f327(f327(f237(a1),x91801),f327(f103(a834),x91802))),f327(f327(f20(a1,a1,a1),f327(f327(f10(a1,f841(a1,a1),a1),f85(a1)),f327(f85(a1),x91801))),f7(a1)))) % 153.71/153.54 [9654]~P134(f327(f327(f228(a834),f327(f103(a834),x96541)),f327(a111,x96542)))+P134(f327(f327(f90(a1,a831),f327(f103(a1),f327(f327(f84(a1),x96541),a96))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a330),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f9(a1,a834,a831),f327(f327(f10(a834,f841(a834,a831),a1),f228(a834)),a104)),x96542)))) % 153.71/153.54 [9655]~P134(f327(f327(f227(a834),f327(f103(a834),x96551)),f327(a111,x96552)))+P134(f327(f327(f90(a1,a831),f327(f103(a1),f327(f327(f84(a1),x96551),a96))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a330),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f9(a1,a834,a831),f327(f327(f10(a834,f841(a834,a831),a1),f227(a834)),a104)),x96552)))) % 153.71/153.54 [9719]P134(f327(f327(f228(a834),f327(f103(a834),x97191)),f327(a111,x97192)))+~P134(f327(f327(f90(a1,a831),f327(f103(a1),f327(f327(f84(a1),x97191),a96))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a330),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f9(a1,a834,a831),f327(f327(f10(a834,f841(a834,a831),a1),f228(a834)),a104)),x97192)))) % 153.71/153.54 [9720]P134(f327(f327(f227(a834),f327(f103(a834),x97201)),f327(a111,x97202)))+~P134(f327(f327(f90(a1,a831),f327(f103(a1),f327(f327(f84(a1),x97201),a96))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a330),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f9(a1,a834,a831),f327(f327(f10(a834,f841(a834,a831),a1),f227(a834)),a104)),x97202)))) % 153.71/153.54 [9750]~P134(f327(f327(f228(a834),f327(a111,x97502)),f327(f103(a834),x97501)))+P134(f327(f327(f90(a1,a831),f327(f103(a1),f327(f327(f84(a1),x97501),a96))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a330),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f10(a834,a831,a1),f327(f228(a834),x97502)),a104))))) % 153.71/153.54 [9751]~P134(f327(f327(f227(a834),f327(a111,x97512)),f327(f103(a834),x97511)))+P134(f327(f327(f90(a1,a831),f327(f103(a1),f327(f327(f84(a1),x97511),a96))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a330),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f10(a834,a831,a1),f327(f227(a834),x97512)),a104))))) % 153.71/153.54 [9801]P134(f327(f327(f228(a834),f327(a111,x98011)),f327(f103(a834),x98012)))+~P134(f327(f327(f90(a1,a831),f327(f103(a1),f327(f327(f84(a1),x98012),a96))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a330),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f10(a834,a831,a1),f327(f228(a834),x98011)),a104))))) % 153.71/153.54 [9802]P134(f327(f327(f227(a834),f327(a111,x98021)),f327(f103(a834),x98022)))+~P134(f327(f327(f90(a1,a831),f327(f103(a1),f327(f327(f84(a1),x98022),a96))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a330),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f10(a834,a831,a1),f327(f227(a834),x98021)),a104))))) % 153.71/153.54 [9868]~P134(f327(f327(f329(a834),f2(a834)),x98681))+E(f327(a111,f327(f43(a834),f327(f251(a834),f327(f327(f20(a834,a831,a831),f327(f327(f10(a831,f841(a831,a831),a834),a325),f327(f327(f9(a834,f841(a834,a831),a831),f327(f327(f10(a834,f841(f841(a834,a831),a831),a834),f329(a834)),a111)),x98681))),f327(f327(f9(a834,a834,a831),f228(a834)),x98682))))),f327(f43(a834),f327(f251(a834),f327(f327(f20(a834,a831,a831),f327(f327(f10(a831,f841(a831,a831),a834),a325),f327(f327(f9(a834,f841(a834,a831),a831),f329(a834)),x98681))),f327(f327(f9(a834,a834,a831),f228(a834)),f327(a111,x98682)))))) % 153.71/153.54 [8409]~P85(x84091)+E(f327(f327(f85(x84091),f327(f103(x84091),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),x84092),x84092) % 153.71/153.54 [8469]~P85(x84691)+E(f327(f327(f84(x84691),f82(x84691)),f327(f103(x84691),x84692)),f327(f103(x84691),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),x84692))) % 153.71/153.54 [8515]~P85(x85151)+E(f327(f327(f3(x85151),f327(f103(x85151),x85152)),f82(x85151)),f327(f103(x85151),f327(f327(f84(a1),x85152),f327(f83(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))) % 153.71/153.54 [8649]~P134(f327(f327(f228(a834),f327(f103(a834),a87)),x86492))+E(f327(f327(f3(a834),x86491),f327(f327(f3(a834),x86492),f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(f327(f3(a834),f327(a111,x86491)),x86492)) % 153.71/153.54 [9218]~P82(x92181)+E(f327(f327(f85(x92181),x92182),x92182),f327(f327(f237(x92181),x92182),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))) % 153.71/153.54 [9219]~P72(x92191)+E(f327(f327(f237(x92191),x92192),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(f327(f85(x92191),x92192),x92192)) % 153.71/153.54 [9221]~P85(x92211)+E(f327(f327(f85(x92211),x92212),f327(f103(x92211),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(f327(f84(x92211),x92212),x92212)) % 153.71/153.54 [9454]~P130(x94541)+E(f327(f327(f237(x94541),f327(f83(x94541),x94542)),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(f327(f237(x94541),x94542),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))) % 153.71/153.54 [9455]~P107(x94551)+E(f327(f327(f237(x94551),f327(f79(x94551),x94552)),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(f327(f237(x94551),x94552),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))) % 153.71/153.54 [9451]~P85(x94511)+E(f327(f327(f85(x94511),f327(f103(x94511),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x94512),f327(f327(f84(x94511),x94512),x94512)) % 153.71/153.54 [9566]~P107(x95661)+E(f327(f79(x95661),f327(f327(f237(x95661),x95662),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x95661),x95662),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))) % 153.71/153.54 [9616]~P107(x96161)+P134(f327(f327(f227(x96161),f2(x96161)),f327(f327(f237(x96161),x96162),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))) % 153.71/153.54 [9792]~E(f327(a111,x97922),f327(f103(a834),x97921))+P134(f327(f327(f90(a1,a831),f327(f103(a1),f327(f327(f84(a1),x97921),a96))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a330),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f9(a1,a834,a831),f327(f327(f10(a834,f841(a834,a831),a1),a324),a104)),x97922))))) % 153.71/153.54 [9793]~E(f327(f103(a834),x97931),f327(a111,x97932))+P134(f327(f327(f90(a1,a831),f327(f103(a1),f327(f327(f84(a1),x97931),a96))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a330),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f9(a1,a834,a831),f327(f327(f10(a834,f841(a834,a831),a1),a324),a104)),x97932))))) % 153.71/153.54 [9834]E(f327(a111,x98341),f327(f103(a834),x98342))+~P134(f327(f327(f90(a1,a831),f327(f103(a1),f327(f327(f84(a1),x98342),a96))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a330),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f9(a1,a834,a831),f327(f327(f10(a834,f841(a834,a831),a1),a324),a104)),x98341))))) % 153.71/153.54 [9835]E(f327(f103(a834),x98351),f327(a111,x98352))+~P134(f327(f327(f90(a1,a831),f327(f103(a1),f327(f327(f84(a1),x98351),a96))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a330),f327(f327(f10(a831,a831,a1),a323),a182))),f327(f327(f9(a1,a834,a831),f327(f327(f10(a834,f841(a834,a831),a1),a324),a104)),x98352))))) % 153.71/153.54 [9614]~P85(x96141)+E(f327(f327(f237(x96141),f327(f103(x96141),a96)),f327(f327(f85(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x96142)),f82(x96141)) % 153.71/153.54 [9615]~P130(x96151)+E(f327(f327(f237(x96151),f327(f83(x96151),f82(x96151))),f327(f327(f85(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x96152)),f82(x96151)) % 153.71/153.54 [9618]~P72(x96181)+E(f327(f327(f237(x96181),x96182),f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),a96))),f327(f327(f85(x96181),f327(f327(f85(x96181),x96182),x96182)),x96182)) % 153.71/153.54 [9814]~P134(f327(f327(f227(a1),f2(a1)),x98142))+E(f53(a1,f327(f327(f84(a1),f82(a1)),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x98141)),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x98142)),f327(f327(f84(a1),f82(a1)),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f53(a1,x98141,x98142)))) % 153.71/153.54 [9837]~P134(f327(f327(f227(a1),f2(a1)),x98372))+E(f327(f327(f44(a1),f327(f327(f84(a1),f82(a1)),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x98371))),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x98372)),f327(f327(f44(a1),x98371),x98372)) % 153.71/153.54 [9839]~P134(f327(f327(f227(a1),x98392),f2(a1)))+E(f327(f327(f44(a1),f327(f327(f84(a1),f82(a1)),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x98391))),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x98392)),f327(f327(f44(a1),f327(f327(f84(a1),x98391),f82(a1))),x98392)) % 153.71/153.54 [9840]~P134(f327(f327(f227(a1),x98402),f2(a1)))+E(f53(a1,f327(f327(f84(a1),f82(a1)),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x98401)),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x98402)),f327(f327(f3(a1),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f53(a1,f327(f327(f84(a1),x98401),f82(a1)),x98402))),f82(a1))) % 153.71/153.54 [9710]~P85(x97101)+E(f327(f327(f237(x97101),f327(f103(x97101),a96)),f327(a111,f327(f327(f85(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x97102))),f327(f103(x97101),a96)) % 153.71/153.54 [9712]~P130(x97121)+E(f327(f327(f237(x97121),f327(f83(x97121),f82(x97121))),f327(a111,f327(f327(f85(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x97122))),f327(f83(x97121),f82(x97121))) % 153.71/153.54 [5970]E(x59701,x59702)+~P38(a25,x59701,x59703,x59702) % 153.71/153.54 [4830]P36(f35(x48301,x48303),x48302,x48302)+P134(f327(x48301,x48302)) % 153.71/153.54 [4957]~P33(x49571,x49573)+P33(x49571,f322(x49571,x49572,x49573)) % 153.71/153.54 [5203]~P12(x52031,x52032,x52033)+P12(f835(x52031),f144(x52031,x52032),f142(x52031,x52033)) % 153.71/153.54 [5204]~P45(x52041,x52042,x52043)+P45(f835(x52041),f144(x52041,x52042),f142(x52041,x52043)) % 153.71/153.54 [5314]P51(x53141,x53142,x53143)+~E(f623(x53143,x53142,x53141),f624(x53143,x53142,x53141)) % 153.71/153.54 [5315]P52(x53151,x53152,x53153)+~E(f634(x53153,x53152,x53151),f635(x53153,x53152,x53151)) % 153.71/153.54 [6182]~P36(x61821,x61822,x61823)+P38(x61821,x61822,f668(x61823,x61822,x61821),x61823) % 153.71/153.54 [6183]~P36(x61831,x61832,x61833)+P38(x61831,x61832,f766(x61833,x61832,x61831),x61833) % 153.71/153.54 [4505]~E(x45051,f179(x45052))+~E(x45051,f327(f222(x45052),x45053)) % 153.71/153.54 [4554]~E(f327(f151(x45542),x45541),x45543)+E(x45541,f327(f151(x45542),x45543)) % 153.71/153.54 [4555]~E(x45552,f327(f151(x45551),x45553))+E(f327(f151(x45551),x45552),x45553) % 153.71/153.54 [4599]E(x45991,x45992)+~E(f327(f222(x45993),x45991),f327(f222(x45993),x45992)) % 153.71/153.54 [4600]E(x46001,x46002)+~E(f327(f151(x46003),x46001),f327(f151(x46003),x46002)) % 153.71/153.54 [4805]~P11(x48053,x48051)+P134(f327(f327(x48051,x48052),x48052)) % 153.71/153.54 [4806]~P47(x48063,x48061)+P134(f327(f327(x48061,x48062),x48062)) % 153.71/153.54 [4808]~P56(x48081,x48082)+P134(f327(f316(x48081,x48082),x48083)) % 153.71/153.54 [4872]~P33(x48721,x48722)+P33(f835(x48721),f327(f129(x48721,x48722),x48723)) % 153.71/153.54 [4876]~P134(f327(x48762,x48763))+~E(f327(f251(x48761),x48762),f176(f841(x48761,a831))) % 153.71/153.54 [4877]~P134(f327(x48772,x48773))+~E(f176(f841(x48771,a831)),f327(f251(x48771),x48772)) % 153.71/153.54 [4913]~P134(f327(x49131,x49133))+P134(f327(x49131,f94(x49132,x49131))) % 153.71/153.54 [5034]~E(x50342,x50343)+P134(f327(f327(f329(x50341),x50342),f327(a324,x50343))) % 153.71/153.54 [5089]E(f327(f151(x50891),x50892),f327(f327(f136(x50891),x50893),f112(x50891)))+~E(x50892,f327(f327(f136(x50891),x50893),f112(x50891))) % 153.71/153.54 [5090]~E(x50903,f327(f327(f136(x50901),x50902),f112(x50901)))+E(f327(f327(f136(x50901),x50902),f112(x50901)),f327(f151(x50901),x50903)) % 153.71/153.54 [5116]~E(x51163,f327(f18(f838(x51162),x51161),f179(x51162)))+E(f165(x51161,x51162,x51163),f176(f841(x51161,a831))) % 153.71/153.54 [5136]E(f327(f43(x51361),f390(x51362,x51363,x51361)),x51362)+~E(f327(f43(x51361),x51363),f327(a111,x51362)) % 153.71/153.54 [5142]~P33(x51421,x51423)+P134(f327(f327(f329(x51421),x51422),f317(x51421,x51423))) % 153.71/153.54 [5145]~E(f327(f151(x51452),x51451),f327(f327(f136(x51452),x51453),f112(x51452)))+E(x51451,f327(f327(f136(x51452),x51453),f112(x51452))) % 153.71/153.54 [5146]~E(f327(f327(f136(x51462),x51463),f112(x51462)),f327(f151(x51462),x51461))+E(x51461,f327(f327(f136(x51462),x51463),f112(x51462))) % 153.71/153.54 [5161]E(x51611,f327(f18(f838(x51612),x51613),f179(x51612)))+~E(f165(x51613,x51612,x51611),f176(f841(x51613,a831))) % 153.71/153.54 [5167]E(f89(f840(a834,a834),f56(x51671,x51672)),x51673)+~P134(f327(f56(x51671,x51672),x51673)) % 153.71/153.54 [5175]~E(x51753,f327(f222(x51751),x51752))+P134(f327(f327(f329(x51751),x51752),f221(x51751,x51753))) % 153.71/153.54 [5266]~E(x52662,f112(x52661))+P134(f327(f327(f329(f835(x52661)),x52662),f144(x52661,x52663))) % 153.71/153.54 [5274]~P45(x52741,x52742,x52743)+P45(x52741,x52742,f327(f273(x52741,x52741),x52743)) % 153.71/153.54 [5275]~P52(x52751,x52752,x52753)+P52(x52751,x52752,f327(f273(x52751,x52751),x52753)) % 153.71/153.54 [5295]~P7(x52951)+E(f53(x52951,f53(x52951,x52952,x52953),x52953),f53(x52951,x52952,x52953)) % 153.71/153.54 [5340]~P36(f26(x53401),x53402,x53403)+P36(f327(f226(a832),f327(a30,x53401)),x53402,x53403) % 153.71/153.54 [5393]E(x53931,x53932)+~P134(f327(f327(f329(x53933),x53931),f327(a324,x53932))) % 153.71/153.54 [5438]~P1(x54381)+E(f178(x54381,x54382,f2(a834),x54383),x54383) % 153.71/153.54 [5458]P45(x54581,x54582,x54583)+~P45(x54581,x54582,f327(f273(x54581,x54581),x54583)) % 153.71/153.54 [5459]P52(x54591,x54592,x54593)+~P52(x54591,x54592,f327(f273(x54591,x54591),x54593)) % 153.71/153.54 [5475]E(f152(x54751,x54752,f137(x54751,x54753)),f137(x54751,f152(x54751,x54752,x54753)))+~P134(f327(f124(x54751),x54753)) % 153.71/153.54 [5477]P36(f26(x54771),x54772,x54773)+~P36(f327(f226(a832),f327(a30,x54771)),x54772,x54773) % 153.71/153.54 [5483]E(x54831,f327(f222(x54832),x54833))+~P134(f327(f327(f329(x54832),x54833),f221(x54832,x54831))) % 153.71/153.54 [5570]~P134(f327(a27,x55703))+P134(f327(a27,f32(x55701,x55702,x55703))) % 153.71/153.54 [5583]E(f327(f123(x55831,x55832),x55833),f112(x55831))+P134(f327(x55832,f732(x55833,x55832,x55831))) % 153.71/153.54 [5666]~P134(f327(a27,f26(x56662)))+P134(f327(a27,f31(x56661,x56662,x56663))) % 153.71/153.54 [5745]~P134(f327(f124(x57451),x57453))+P134(f327(f124(x57451),f152(x57451,x57452,x57453))) % 153.71/153.54 [5746]~P134(f327(f124(x57461),x57462))+P134(f327(f124(x57461),f156(x57461,x57462,x57463))) % 153.71/153.54 [5747]~P134(f327(f124(x57471),x57473))+P134(f327(f124(x57471),f158(x57471,x57472,x57473))) % 153.71/153.54 [5748]~P138(x57481,x57483,x57482)+P134(f327(x57481,f53(a1,x57482,x57483))) % 153.71/153.54 [5865]~P96(x58651)+E(f327(f327(f101(f841(x58651,a831)),f327(f252(x58651),x58652)),f290(x58651,x58652,x58653)),f176(f841(x58651,a831))) % 153.71/153.54 [5866]~P96(x58661)+E(f327(f327(f101(f841(x58661,a831)),f327(f288(x58661),x58662)),f292(x58661,x58662,x58663)),f176(f841(x58661,a831))) % 153.71/153.54 [5867]~P96(x58671)+E(f327(f327(f101(f841(x58671,a831)),f327(f288(x58671),x58672)),f293(x58671,x58672,x58673)),f176(f841(x58671,a831))) % 153.71/153.54 [6019]P134(f327(a27,x60191))+~P134(f327(a27,f32(x60192,x60193,x60191))) % 153.71/153.54 [6021]P134(f327(a27,x60211))+~P134(f327(a27,f33(x60212,x60213,x60211))) % 153.71/153.54 [6023]P134(f327(a27,x60231))+~P134(f327(a27,f33(x60232,x60231,x60233))) % 153.71/153.54 [6078]P134(f327(a27,f26(x60781)))+~P134(f327(a27,f31(x60782,x60781,x60783))) % 153.71/153.54 [6106]E(f327(f123(x61061,x61062),x61063),x61063)+~P134(f327(x61062,f733(x61063,x61062,x61061))) % 153.71/153.54 [6108]E(f327(f327(f297(x61081),f424(x61082,x61083,x61081)),f390(x61082,x61083,x61081)),x61083)+~E(f327(f43(x61081),x61083),f327(a111,x61082)) % 153.71/153.54 [6123]P138(x61231,x61232,x61233)+~P134(f327(x61231,f53(a1,x61233,x61232))) % 153.71/153.54 [6175]E(f158(x61751,x61752,x61753),x61753)+~P134(f327(x61752,f749(x61753,x61752,x61751))) % 153.71/153.54 [6265]~P134(f327(x62652,f575(x62653,x62652,x62651)))+P134(f327(f240(x62651,x62652),x62653)) % 153.71/153.54 [6519]~P134(f327(f316(x65191,x65192),f800(x65193,x65192,x65191)))+P134(f327(f316(x65191,x65192),x65193)) % 153.71/153.54 [6520]~P134(f327(f316(x65201,x65202),f801(x65203,x65202,x65201)))+P134(f327(f316(x65201,x65202),x65203)) % 153.71/153.54 [7154]~P7(x71541)+E(f327(f327(f84(x71541),f327(f327(f85(x71541),x71542),f327(f327(f44(x71541),x71543),x71542))),f53(x71541,x71543,x71542)),x71543) % 153.71/153.54 [7636]E(f327(f327(f236(x76361,x76361),f448(x76362,x76363,x76361)),f448(x76362,x76363,x76361)),x76363)+~P134(f327(f327(f329(f840(x76361,x76361)),x76363),f255(x76361,x76362))) % 153.71/153.54 [7754]~P134(f327(f327(f329(x77541),f510(x77543,x77542,x77541)),f317(x77541,x77543)))+P134(f327(f327(f329(x77541),x77542),f317(x77541,x77543))) % 153.71/153.54 [7755]~P134(f327(f327(f329(x77551),f604(x77553,x77552,x77551)),f317(x77551,x77553)))+P134(f327(f327(f329(x77551),x77552),f317(x77551,x77553))) % 153.71/153.54 [7756]~P134(f327(f327(f329(x77561),f606(x77563,x77562,x77561)),f317(x77561,x77563)))+P134(f327(f327(f329(x77561),x77562),f317(x77561,x77563))) % 153.71/153.54 [7935]~P7(x79351)+E(f327(f327(f84(x79351),f327(f327(f85(x79351),f327(f327(f44(x79351),x79352),x79353)),x79353)),f53(x79351,x79352,x79353)),x79352) % 153.71/153.54 [7977]~E(f327(f43(x79771),x79772),f327(a111,x79773))+~P134(f327(f327(f329(x79771),f424(x79773,x79772,x79771)),f390(x79773,x79772,x79771))) % 153.71/153.54 [8563]P134(f327(f327(f227(f841(f840(x85631,x85631),a831)),f295(x85631,x85632)),f295(x85631,x85633)))+~P134(f327(f327(f227(f841(f840(x85631,x85631),a831)),x85632),f295(x85631,x85633))) % 153.71/153.54 [8800]E(x88001,f112(x88002))+~P134(f327(f327(f329(f840(f835(x88002),f835(x88002))),f327(f327(f236(f835(x88002),f835(x88002)),x88001),f112(x88002))),f142(x88002,x88003))) % 153.71/153.54 [8824]E(x88241,f112(x88242))+~P134(f327(f327(f329(f840(f835(x88242),f835(x88242))),f327(f327(f236(f835(x88242),f835(x88242)),f112(x88242)),x88241)),f142(x88242,x88243))) % 153.71/153.54 [8949]E(f327(f327(f136(x89491),f730(x89492,x89493,x89491)),f731(x89492,x89493,x89491)),x89493)+~P134(f327(f327(f329(f840(f835(x89491),f835(x89491))),f327(f327(f236(f835(x89491),f835(x89491)),f112(x89491)),x89493)),f133(x89491,x89492))) % 153.71/153.54 [9149]~P116(x91491)+~P134(f327(f327(f228(x91491),f327(f327(f84(x91491),f327(f327(f85(x91491),x91492),x91492)),f327(f327(f85(x91491),x91493),x91493))),f2(x91491))) % 153.71/153.54 [9197]P134(f327(f66(x91971),x91972))+~P134(f327(f327(f329(f840(f841(x91971,a831),f841(x91971,a831))),f327(f327(f236(f841(x91971,a831),f841(x91971,a831)),x91973),x91972)),f294(x91971))) % 153.71/153.54 [9475]~P43(x94751,x94752,x94753)+P134(f327(f327(f228(a1),f327(f327(f77(f840(a1,a1),a1,x94751,f235(a1,a1)),f202(x94751)),f219(x94751,x94752,f216(x94751,x94753)))),f2(a1))) % 153.71/153.54 [9476]~P44(x94761,x94762,x94763)+P134(f327(f327(f227(a1),f327(f327(f77(f840(a1,a1),a1,x94761,f235(a1,a1)),f202(x94761)),f219(x94761,x94762,f216(x94761,x94763)))),f2(a1))) % 153.71/153.54 [9590]P43(x95901,x95902,x95903)+~P134(f327(f327(f228(a1),f327(f327(f77(f840(a1,a1),a1,x95901,f235(a1,a1)),f202(x95901)),f219(x95901,x95902,f216(x95901,x95903)))),f2(a1))) % 153.71/153.54 [9591]P44(x95911,x95912,x95913)+~P134(f327(f327(f227(a1),f327(f327(f77(f840(a1,a1),a1,x95911,f235(a1,a1)),f202(x95911)),f219(x95911,x95912,f216(x95911,x95913)))),f2(a1))) % 153.71/153.54 [9917]~P107(x99171)+~P134(f327(f327(f228(x99171),f327(f327(f84(x99171),f327(f327(f237(x99171),x99172),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x99171),x99173),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))),f2(x99171))) % 153.71/153.54 [4583]~E(x45833,f112(x45831))+E(f327(f327(f122(x45831),x45832),x45833),x45832) % 153.71/153.54 [4584]~E(x45842,f112(x45841))+E(f327(f327(f122(x45841),x45842),x45843),x45843) % 153.71/153.54 [4590]~E(x45902,f2(a834))+E(f327(f327(f155(x45901),x45902),x45903),f112(x45901)) % 153.71/153.54 [4594]~E(x45943,f112(x45941))+E(f327(f327(f155(x45941),x45942),x45943),f112(x45941)) % 153.71/153.54 [4634]~E(x46341,x46343)+E(x46341,f327(f327(f122(x46342),f112(x46342)),x46343)) % 153.71/153.54 [4718]~P103(x47182)+E(f327(f234(f841(x47181,x47182)),x47183),f234(x47182)) % 153.71/153.54 [4720]~P98(x47202)+E(f327(f176(f841(x47201,x47202)),x47203),f176(x47202)) % 153.71/153.54 [4740]E(x47401,f112(x47402))+~E(f327(f327(f122(x47402),x47403),x47401),x47403) % 153.71/153.54 [4741]E(x47411,f112(x47412))+~E(f327(f327(f122(x47412),x47411),x47413),x47413) % 153.71/153.54 [4749]E(x47491,f112(x47492))+~E(f327(f327(f122(x47492),x47493),x47491),f112(x47492)) % 153.71/153.54 [4750]E(x47501,f112(x47502))+~E(f327(f327(f122(x47502),x47501),x47503),f112(x47502)) % 153.71/153.54 [4777]~E(x47772,f2(a834))+E(f327(f327(f85(a834),x47771),x47772),f327(f327(f85(a834),x47773),x47772)) % 153.71/153.54 [4779]~E(x47791,f2(a834))+E(f327(f327(f85(a834),x47791),x47792),f327(f327(f85(a834),x47791),x47793)) % 153.71/153.54 [4834]~P82(x48341)+E(f327(f327(f84(x48341),x48342),x48343),f327(f327(f84(x48341),x48343),x48342)) % 153.71/153.54 [4835]~P82(x48351)+E(f327(f327(f85(x48351),x48352),x48353),f327(f327(f85(x48351),x48353),x48352)) % 153.71/153.54 [4837]~P97(x48371)+E(f327(f327(f231(x48371),x48372),x48373),f327(f327(f231(x48371),x48373),x48372)) % 153.71/153.54 [4839]~P97(x48391)+E(f327(f327(f175(x48391),x48392),x48393),f327(f327(f175(x48391),x48393),x48392)) % 153.71/153.54 [4840]~P89(x48401)+E(f327(f327(f100(x48401),x48402),x48403),f327(f327(f100(x48401),x48403),x48402)) % 153.71/153.54 [4842]~P94(x48421)+E(f327(f327(f100(x48421),x48422),x48423),f327(f327(f100(x48421),x48423),x48422)) % 153.71/153.54 [4843]~P89(x48431)+E(f327(f327(f101(x48431),x48432),x48433),f327(f327(f101(x48431),x48433),x48432)) % 153.71/153.54 [4845]~P95(x48451)+E(f327(f327(f101(x48451),x48452),x48453),f327(f327(f101(x48451),x48453),x48452)) % 153.71/153.54 [4908]E(f53(a834,x49081,x49082),f2(a834))+~E(x49081,f327(f327(f85(a834),x49082),x49083)) % 153.71/153.54 [4909]E(f53(a1,x49091,x49092),f2(a1))+~E(x49091,f327(f327(f85(a1),x49092),x49093)) % 153.71/153.54 [4969]E(x49691,x49692)+~E(f327(f327(f84(a834),x49693),x49691),f327(f327(f84(a834),x49693),x49692)) % 153.71/153.54 [4970]E(x49701,x49702)+~E(f327(f327(f84(a834),x49701),x49703),f327(f327(f84(a834),x49702),x49703)) % 153.71/153.54 [4980]~P67(x49801)+E(f327(f327(f84(x49801),x49802),f327(f83(x49801),x49803)),f327(f327(f3(x49801),x49802),x49803)) % 153.71/153.54 [4981]~P101(x49811)+E(f327(f327(f84(x49811),x49812),f327(f83(x49811),x49813)),f327(f327(f3(x49811),x49812),x49813)) % 153.71/153.54 [4982]~P6(x49821)+E(f327(f327(f84(x49821),x49822),f327(f83(x49821),x49823)),f327(f327(f3(x49821),x49822),x49823)) % 153.71/153.54 [4983]~P87(x49831)+E(f327(f327(f101(x49831),x49832),f327(f83(x49831),x49833)),f327(f327(f3(x49831),x49832),x49833)) % 153.71/153.54 [4984]~P67(x49841)+E(f327(f327(f3(x49841),x49842),f327(f83(x49841),x49843)),f327(f327(f84(x49841),x49842),x49843)) % 153.71/153.54 [5028]~P134(f327(x50283,x50282))+P134(f327(f327(f329(x50281),x50282),x50283)) % 153.71/153.54 [5030]~P65(x50302)+E(f327(f327(f8(x50301,x50302),x50303),f176(f841(x50301,a831))),f2(x50302)) % 153.71/153.54 [5032]~P68(x50322)+E(f327(f327(f11(x50321,x50322),x50323),f176(f841(x50321,a831))),f82(x50322)) % 153.71/153.54 [5079]~E(x50792,f327(f327(f84(a834),x50791),x50793))+P134(f327(f327(f227(a834),x50791),x50792)) % 153.71/153.54 [5081]~E(x50812,f176(f841(x50811,a831)))+E(f327(f327(f62(x50811),x50812),x50813),f176(f841(f841(x50811,a831),a831))) % 153.71/153.54 [5082]~E(x50822,f176(f841(x50821,a831)))+E(f176(f841(f841(x50821,a831),a831)),f327(f327(f62(x50821),x50822),x50823)) % 153.71/153.54 [5149]~E(f327(f254(x51492,x51493),x51491),f176(f841(x51493,a831)))+E(x51491,f176(f841(f840(x51492,x51493),a831))) % 153.71/153.54 [5150]~E(f327(f256(x51502,x51503),x51501),f176(f841(x51502,a831)))+E(x51501,f176(f841(f840(x51502,x51503),a831))) % 153.71/153.54 [5181]E(f327(f254(x51811,x51812),x51813),f176(f841(x51812,a831)))+~E(x51813,f176(f841(f840(x51811,x51812),a831))) % 153.71/153.54 [5182]E(f327(f256(x51821,x51822),x51823),f176(f841(x51821,a831)))+~E(x51823,f176(f841(f840(x51821,x51822),a831))) % 153.71/153.54 [5185]E(f264(x51851,x51852,x51853),f327(f327(f3(a98),x51852),x51853))+P134(f327(f327(f228(a98),x51852),x51853)) % 153.71/153.54 [5201]P134(f327(x52011,x52012))+~P134(f327(f327(f329(x52013),x52012),x52011)) % 153.71/153.54 [5238]E(x52381,x52382)+~E(f327(f83(f841(x52383,a831)),x52381),f327(f83(f841(x52383,a831)),x52382)) % 153.71/153.54 [5243]E(f302(x52431,x52432,x52433),f179(f835(a830)))+~P134(f327(f327(f228(a1),x52432),x52433)) % 153.71/153.54 [5248]~E(x52481,f176(f841(x52482,a831)))+~P134(f327(f327(f329(x52482),x52483),x52481)) % 153.71/153.54 [5276]~E(x52762,f327(f327(f84(a1),x52761),f327(f99(a1),x52763)))+P134(f327(f327(f227(a1),x52761),x52762)) % 153.71/153.54 [5292]E(f327(f327(f297(x52921),x52922),x52923),x52923)+~P134(f327(f327(f329(x52921),x52922),x52923)) % 153.71/153.54 [5304]E(x53041,f176(f841(x53042,a831)))+~E(f327(f327(f62(x53042),x53041),x53043),f176(f841(f841(x53042,a831),a831))) % 153.71/153.54 [5305]E(x53051,f176(f841(x53052,a831)))+~E(f176(f841(f841(x53052,a831),a831)),f327(f327(f62(x53052),x53051),x53053)) % 153.71/153.54 [5311]~P117(x53111)+E(f327(f327(f85(x53111),f327(f83(x53111),x53112)),f327(f83(x53111),x53113)),f327(f327(f85(x53111),x53112),x53113)) % 153.71/153.54 [5313]~P58(x53131)+E(f327(f327(f278(x53131),f327(f83(x53131),x53132)),f327(f83(x53131),x53133)),f327(f327(f278(x53131),x53132),x53133)) % 153.71/153.54 [5346]~P134(f327(x53463,x53462))+P134(f327(f327(f329(x53461),x53462),f327(f251(x53461),x53463))) % 153.71/153.54 [5386]E(f152(x53861,x53862,x53863),x53863)+P134(f327(f327(f329(x53861),x53862),f327(f154(x53861),x53863))) % 153.71/153.54 [5466]~P134(f327(f124(x54661),x54663))+P134(f327(f124(x54661),f327(f123(x54661,x54662),x54663))) % 153.71/153.54 [5512]~P7(x55121)+E(f327(f327(f44(x55121),f53(x55121,x55122,x55123)),x55123),f2(x55121)) % 153.71/153.54 [5534]E(f156(x55341,f327(f327(f136(x55341),x55342),f112(x55341)),x55343),f112(x55341))+P134(f327(f327(f329(a834),f2(a834)),x55343)) % 153.71/153.54 [5600]E(x56001,x56002)+~E(f327(f327(f85(a834),f327(a111,x56003)),x56001),f327(f327(f85(a834),f327(a111,x56003)),x56002)) % 153.71/153.54 [5601]~E(x56012,f327(f327(f84(a1),x56011),f327(f99(a1),f327(a111,x56013))))+P134(f327(f327(f228(a1),x56011),x56012)) % 153.71/153.54 [5725]~E(x57253,f112(x57251))+E(f327(f327(f327(f169(f835(x57251),f835(x57251)),x57252),f150(x57251)),x57253),f112(x57251)) % 153.71/153.54 [5729]P134(f327(x57291,x57292))+~P134(f327(f327(f329(x57293),x57292),f327(f251(x57293),x57291))) % 153.71/153.54 [5764]E(x57641,x57642)+~E(f327(f327(f297(x57643),x57641),f176(f841(x57643,a831))),f327(f327(f297(x57643),x57642),f176(f841(x57643,a831)))) % 153.71/153.54 [5774]~P96(x57741)+E(f327(f327(f101(f841(x57741,a831)),f327(f252(x57741),x57742)),f327(f289(x57741,x57742),x57743)),f176(f841(x57741,a831))) % 153.71/153.54 [5838]~P74(x58381)+E(f327(f298(x58381,x58381,f83(x58381)),f327(f289(x58381,x58382),x58383)),f292(x58381,f327(f83(x58381),x58383),f327(f83(x58381),x58382))) % 153.71/153.54 [5846]E(f327(f177(f835(x58461)),f152(x58461,x58462,x58463)),f327(f177(f835(x58461)),x58463))+P134(f327(f327(f329(x58461),x58462),f327(f154(x58461),x58463))) % 153.71/153.54 [5905]~P96(x59051)+E(f327(f327(f101(f841(x59051,a831)),f327(f289(x59051,x59052),x59053)),f327(f253(x59051),x59053)),f176(f841(x59051,a831))) % 153.71/153.54 [5927]~P74(x59271)+E(f327(f298(x59271,x59271,f83(x59271)),f290(x59271,x59272,x59273)),f290(x59271,f327(f83(x59271),x59273),f327(f83(x59271),x59272))) % 153.71/153.54 [5928]~P74(x59281)+E(f327(f298(x59281,x59281,f83(x59281)),f293(x59281,x59282,x59283)),f293(x59281,f327(f83(x59281),x59283),f327(f83(x59281),x59282))) % 153.71/153.54 [5986]E(f156(x59861,f327(f327(f136(x59861),x59862),f112(x59861)),x59863),f327(f327(f136(x59861),x59862),f112(x59861)))+~P134(f327(f327(f329(a834),f2(a834)),x59863)) % 153.71/153.54 [5994]~P74(x59941)+E(f327(f298(x59941,x59941,f83(x59941)),f292(x59941,x59942,x59943)),f327(f289(x59941,f327(f83(x59941),x59943)),f327(f83(x59941),x59942))) % 153.71/153.54 [6014]~P8(x60141)+E(f53(x60141,f327(f83(x60141),f53(x60141,x60142,x60143)),x60143),f53(x60141,f327(f83(x60141),x60142),x60143)) % 153.71/153.54 [6121]~P134(f327(f66(f840(x61212,x61211)),x61213))+P134(f327(f66(x61211),f327(f254(x61212,x61211),x61213))) % 153.71/153.54 [6122]~P134(f327(f66(f840(x61221,x61222)),x61223))+P134(f327(f66(x61221),f327(f256(x61221,x61222),x61223))) % 153.71/153.54 [6127]~P96(x61271)+E(f327(f327(f101(f841(x61271,a831)),f290(x61271,x61272,x61273)),f327(f291(x61271),x61273)),f176(f841(x61271,a831))) % 153.71/153.54 [6128]~P96(x61281)+E(f327(f327(f101(f841(x61281,a831)),f292(x61281,x61282,x61283)),f327(f291(x61281),x61283)),f176(f841(x61281,a831))) % 153.71/153.54 [6129]~P96(x61291)+E(f327(f327(f101(f841(x61291,a831)),f293(x61291,x61292,x61293)),f327(f253(x61291),x61293)),f176(f841(x61291,a831))) % 153.71/153.54 [6202]E(f327(f327(f146(x62021),x62022),f712(x62022,x62023,x62021)),x62023)+~P134(f327(f327(f329(x62021),x62023),f327(f154(x62021),x62022))) % 153.71/153.54 [6350]E(x63501,f112(x63502))+~E(f327(f327(f327(f169(f835(x63502),f835(x63502)),x63503),f150(x63502)),x63501),f112(x63502)) % 153.71/153.54 [6455]~P134(f327(f66(f840(x64552,x64551)),x64553))+P134(f327(f66(f840(x64551,x64552)),f327(f273(x64552,x64551),x64553))) % 153.71/153.54 [6478]E(x64781,x64782)+~E(f277(a834,f274(a834),x64783,x64781),f327(f327(f297(a834),x64782),f176(f841(a834,a831)))) % 153.71/153.54 [6479]E(x64791,x64792)+~E(f277(a834,f274(a834),x64791,x64792),f327(f327(f297(a834),x64793),f176(f841(a834,a831)))) % 153.71/153.54 [6614]P52(x66141,x66142,x66143)+P134(f327(f327(f329(x66141),f635(x66143,x66142,x66141)),x66142)) % 153.71/153.54 [6615]P52(x66151,x66152,x66153)+P134(f327(f327(f329(x66151),f634(x66153,x66152,x66151)),x66152)) % 153.71/153.54 [6626]P134(f327(f316(x66261,x66262),x66263))+P134(f327(f327(x66262,f800(x66263,x66262,x66261)),x66263)) % 153.71/153.54 [6627]P134(f327(f316(x66271,x66272),x66273))+P134(f327(f327(x66272,f801(x66273,x66272,x66271)),x66273)) % 153.71/153.54 [6658]E(f327(f177(f835(x66581)),f152(x66581,x66582,x66583)),f327(f327(f3(a834),f327(f177(f835(x66581)),x66583)),f82(a834)))+~P134(f327(f327(f329(x66581),x66582),f327(f154(x66581),x66583))) % 153.71/153.54 [6697]P134(f327(f240(x66971,x66972),x66973))+P134(f327(f327(f329(x66971),f575(x66973,x66972,x66971)),x66973)) % 153.71/153.54 [6709]~P134(f327(f66(f840(x67092,x67091)),f327(f273(x67091,x67092),x67093)))+P134(f327(f66(f840(x67091,x67092)),x67093)) % 153.71/153.54 [6770]~P134(f327(f327(f329(x67701),x67702),f327(f154(x67701),f113(x67701,x67703))))+P134(f327(f327(f329(x67701),x67702),f327(f154(x67701),x67703))) % 153.71/153.54 [6804]E(f327(f123(x68041,x68042),x68043),x68043)+P134(f327(f327(f329(x68041),f733(x68043,x68042,x68041)),f327(f154(x68041),x68043))) % 153.71/153.54 [6821]E(f327(f123(x68211,x68212),x68213),f112(x68211))+P134(f327(f327(f329(x68211),f732(x68213,x68212,x68211)),f327(f154(x68211),x68213))) % 153.71/153.54 [6848]E(f158(x68481,x68482,x68483),x68483)+P134(f327(f327(f329(x68481),f749(x68483,x68482,x68481)),f327(f154(x68481),x68483))) % 153.71/153.54 [6975]P134(f327(f327(f329(x69751),x69752),f679(x69753,x69752,x69751)))+~P134(f327(f327(f329(x69751),x69752),f45(f841(x69751,a831),x69753))) % 153.71/153.54 [6977]~P65(x69771)+E(f327(f327(f84(x69771),f327(f327(f8(a834,x69771),x69772),f327(f252(a834),x69773))),f327(x69772,x69773)),f327(f327(f8(a834,x69771),x69772),f327(f252(a834),f327(a111,x69773)))) % 153.71/153.54 [7083]~P134(f327(f327(f329(x70831),x70832),f670(x70832,x70833,x70831)))+P134(f327(f327(f329(x70831),x70832),f46(f841(x70831,a831),x70833))) % 153.71/153.54 [7113]~P65(x71131)+E(f327(f327(f84(x71131),f327(f327(f8(a834,x71131),x71132),f327(f288(a834),x71133))),f327(x71132,f327(a111,x71133))),f327(f327(f8(a834,x71131),x71132),f327(f288(a834),f327(a111,x71133)))) % 153.71/153.54 [7266]P134(f327(f327(f329(f835(x72661)),x72662),f144(x72661,x72663)))+P134(f327(f327(f329(x72661),f729(x72663,x72662,x72661)),f327(f154(x72661),x72662))) % 153.71/153.54 [7283]~P134(f327(f327(f329(f835(x72831)),x72832),f144(x72831,f317(x72831,x72833))))+P134(f327(f327(f329(f835(x72831)),x72832),f317(f835(x72831),f141(x72831,x72833)))) % 153.71/153.54 [7310]~P134(f327(f327(f329(f835(x73101)),x73102),f317(f835(x73101),f141(x73101,x73103))))+P134(f327(f327(f329(f835(x73101)),x73102),f144(x73101,f317(x73101,x73103)))) % 153.71/153.54 [7349]E(f327(f327(f327(f169(f835(x73491),f835(x73491)),x73492),f150(x73491)),x73493),x73493)+~P134(f327(f327(f227(a834),f327(f177(f835(x73491)),x73493)),f82(a834))) % 153.71/153.54 [7375]~E(f53(a834,x73751,x73752),f53(a834,x73753,x73752))+E(f327(f327(f84(a834),x73751),f327(f327(f85(a834),x73752),f823(x73753,x73752,x73751))),f327(f327(f84(a834),x73753),f327(f327(f85(a834),x73752),f824(x73753,x73752,x73751)))) % 153.71/153.54 [7401]~P28(x74011,x74012,x74013,f234(f841(x74011,a831)))+P28(f835(x74011),f835(x74012),f327(f138(x74011,x74012),x74013),f234(f841(f835(x74011),a831))) % 153.71/153.54 [7558]E(x75581,f327(f327(f84(a834),f327(f327(f85(a834),f327(f235(a834,a834),x75582)),x75583)),f327(f245(a834,a834),x75582)))+~P134(f327(f56(x75581,x75583),x75582)) % 153.71/153.54 [7566]P28(x75661,x75662,x75663,f234(f841(x75661,a831)))+~P28(f835(x75661),f835(x75662),f327(f138(x75661,x75662),x75663),f234(f841(f835(x75661),a831))) % 153.71/153.54 [7609]P134(f327(f327(f329(f841(x76091,a831)),f670(x76092,x76093,x76091)),x76093))+P134(f327(f327(f329(x76091),x76092),f46(f841(x76091,a831),x76093))) % 153.71/153.54 [7697]P134(f327(f327(f329(f835(x76971)),x76972),f144(x76971,x76973)))+~P134(f327(f327(f329(x76971),f729(x76973,x76972,x76971)),x76973)) % 153.71/153.54 [7828]E(x78281,x78282)+~E(f327(f327(f9(x78283,f841(x78283,a831),a831),f329(x78283)),x78281),f327(f327(f9(x78283,f841(x78283,a831),a831),f329(x78283)),x78282)) % 153.71/153.54 [7834]~P134(f327(f327(f329(f840(x78341,x78341)),x78343),f255(x78341,x78342)))+P134(f327(f327(f329(x78341),f448(x78342,x78343,x78341)),x78342)) % 153.71/153.54 [7836]~P134(f327(f327(f329(x78361),x78363),f45(f841(x78361,a831),x78362)))+P134(f327(f327(f329(f841(x78361,a831)),f679(x78362,x78363,x78361)),x78362)) % 153.71/153.54 [8089]E(f327(f224(f838(f835(a830)),f835(a830),f302(x80891,x80892,f327(f327(f84(a1),x80893),f82(a1))),f222(f835(a830))),f327(x80891,x80893)),f302(x80891,x80892,x80893))+P134(f327(f327(f228(a1),x80892),x80893)) % 153.71/153.54 [8187]E(x81871,f112(x81872))+P134(f327(f327(f329(x81872),f327(f235(x81872,f840(a98,a98)),f327(f265(x81872,x81871),x81873))),f327(f154(x81872),x81871))) % 153.71/153.54 [8284]~P5(x82841)+E(f327(f128(x82841,x82841,f327(f9(x82841,x82841,x82841),f84(x82841)),x82842),f327(f151(x82841),x82843)),f327(f128(x82841,x82841,f84(x82841),x82842),x82843)) % 153.71/153.54 [8733]~P97(x87331)+E(f327(f154(x87331),f135(x87331,x87331,f7(x87331),x87332,x87333)),f327(f327(f297(x87331),x87332),f327(f154(x87331),x87333))) % 153.71/153.54 [8742]P134(f327(f327(f228(a834),f2(a834)),f636(x87421,x87422,x87423)))+~P134(f327(f327(f329(f840(x87423,x87423)),x87422),f327(f327(f276(x87423,x87423,x87423),x87421),f295(x87423,x87421)))) % 153.71/153.54 [8998]~P54(x89981,x89982)+~P134(f327(f327(f329(f840(x89981,x89981)),f327(f327(f236(x89981,x89981),x89983),x89983)),f327(f327(f276(x89981,x89981,x89981),x89982),f295(x89981,x89982)))) % 153.71/153.54 [9110]~E(f327(f327(f101(f841(f840(x91101,x91101),a831)),f327(f273(x91101,x91101),x91102)),f295(x91101,x91102)),f176(f841(f840(x91101,x91101),a831)))+~P134(f327(f327(f329(f840(x91101,x91101)),f327(f327(f236(x91101,x91101),x91103),x91103)),f327(f327(f276(x91101,x91101,x91101),x91102),f295(x91101,x91102)))) % 153.71/153.54 [9282]~P134(f327(f66(x92821),x92822))+P134(f327(f327(f227(a834),f327(f43(x92821),f327(f327(f3(f841(x92821,a831)),x92822),f327(f327(f297(x92821),x92823),f176(f841(x92821,a831)))))),f327(f43(x92821),x92822))) % 153.71/153.54 [4892]~E(x48923,f112(x48921))+E(f130(x48921,f327(f327(f136(x48921),x48922),x48923)),x48922) % 153.71/153.54 [4905]~E(x49053,f112(x49051))+E(f113(x49051,f327(f327(f136(x49051),x49052),x49053)),f112(x49051)) % 153.71/153.54 [4934]E(x49341,f112(x49342))+E(f130(x49342,f327(f327(f136(x49342),x49343),x49341)),f130(x49342,x49341)) % 153.71/153.54 [4936]E(x49361,f112(x49362))+E(f130(x49362,f327(f327(f122(x49362),x49363),x49361)),f130(x49362,x49361)) % 153.71/153.54 [4943]~E(x49433,f112(x49431))+E(f130(x49431,f327(f327(f122(x49431),x49432),x49433)),f130(x49431,x49432)) % 153.71/153.54 [4944]~E(x49443,f112(x49441))+E(f113(x49441,f327(f327(f122(x49441),x49442),x49443)),f113(x49441,x49442)) % 153.71/153.54 [4974]E(x49741,f112(x49742))+E(f327(f127(x49742),f327(f327(f122(x49742),x49741),x49743)),f327(f127(x49742),x49741)) % 153.71/153.54 [5002]~E(x50022,f112(x50021))+E(f327(f127(x50021),f327(f327(f122(x50021),x50022),x50023)),f327(f127(x50021),x50023)) % 153.71/153.54 [5056]~P97(x50561)+E(f327(f327(f231(x50561),x50562),f327(f327(f175(x50561),x50562),x50563)),x50562) % 153.71/153.54 [5057]~P97(x50571)+E(f327(f327(f175(x50571),x50572),f327(f327(f231(x50571),x50572),x50573)),x50572) % 153.71/153.54 [5058]~P89(x50581)+E(f327(f327(f100(x50581),x50582),f327(f327(f101(x50581),x50582),x50583)),x50582) % 153.71/153.54 [5059]~P89(x50591)+E(f327(f327(f101(x50591),x50592),f327(f327(f100(x50591),x50592),x50593)),x50592) % 153.71/153.54 [5077]~P7(x50771)+E(f53(x50771,f327(f327(f85(x50771),x50772),x50773),x50773),f2(x50771)) % 153.71/153.54 [5078]~P7(x50781)+E(f53(x50781,f327(f327(f85(x50781),x50782),x50783),x50782),f2(x50781)) % 153.71/153.54 [5144]~P6(x51441)+E(f327(f83(x51441),f327(f327(f3(x51441),x51442),x51443)),f327(f327(f3(x51441),x51443),x51442)) % 153.71/153.54 [5205]E(x52051,f112(x52052))+E(f113(x52052,f327(f327(f136(x52052),x52053),x52051)),f327(f327(f136(x52052),x52053),f113(x52052,x52051))) % 153.71/153.54 [5206]E(x52061,f112(x52062))+E(f113(x52062,f327(f327(f122(x52062),x52063),x52061)),f327(f327(f122(x52062),x52063),f113(x52062,x52061))) % 153.71/153.54 [5207]~P9(x52071)+E(f46(x52071,f327(f327(f297(x52071),x52072),x52073)),f327(f327(f101(x52071),x52072),f46(x52071,x52073))) % 153.71/153.54 [5208]~P9(x52081)+E(f45(x52081,f327(f327(f297(x52081),x52082),x52083)),f327(f327(f100(x52081),x52082),f45(x52081,x52083))) % 153.71/153.54 [5252]~P88(x52521)+E(f327(f327(f85(x52521),x52522),f327(f327(f85(x52521),x52522),x52523)),f327(f327(f85(x52521),x52522),x52523)) % 153.71/153.54 [5254]~P97(x52541)+E(f327(f327(f231(x52541),x52542),f327(f327(f231(x52541),x52542),x52543)),f327(f327(f231(x52541),x52542),x52543)) % 153.71/153.54 [5256]~P97(x52561)+E(f327(f327(f175(x52561),x52562),f327(f327(f175(x52561),x52562),x52563)),f327(f327(f175(x52561),x52562),x52563)) % 153.71/153.54 [5257]~P89(x52571)+E(f327(f327(f100(x52571),x52572),f327(f327(f100(x52571),x52572),x52573)),f327(f327(f100(x52571),x52572),x52573)) % 153.71/153.54 [5259]~P94(x52591)+E(f327(f327(f100(x52591),x52592),f327(f327(f100(x52591),x52592),x52593)),f327(f327(f100(x52591),x52592),x52593)) % 153.71/153.54 [5260]~P89(x52601)+E(f327(f327(f101(x52601),x52602),f327(f327(f101(x52601),x52602),x52603)),f327(f327(f101(x52601),x52602),x52603)) % 153.71/153.54 [5262]~P95(x52621)+E(f327(f327(f101(x52621),x52622),f327(f327(f101(x52621),x52622),x52623)),f327(f327(f101(x52621),x52622),x52623)) % 153.71/153.54 [5269]~P7(x52691)+E(f53(x52691,f327(f327(f84(x52691),x52692),x52693),x52693),f53(x52691,x52692,x52693)) % 153.71/153.54 [5270]~P7(x52701)+E(f53(x52701,f327(f327(f84(x52701),x52702),x52703),x52702),f53(x52701,x52703,x52702)) % 153.71/153.54 [5277]~P117(x52771)+E(f327(f327(f85(x52771),x52772),f327(f83(x52771),x52773)),f327(f83(x52771),f327(f327(f85(x52771),x52772),x52773))) % 153.71/153.54 [5278]~P58(x52781)+E(f327(f327(f278(x52781),x52782),f327(f83(x52781),x52783)),f327(f83(x52781),f327(f327(f278(x52781),x52782),x52783))) % 153.71/153.54 [5279]~P64(x52791)+E(f327(f327(f84(x52791),x52792),f327(f148(x52791),x52793)),f327(f148(x52791),f327(f327(f136(x52791),x52792),x52793))) % 153.71/153.54 [5310]~P117(x53101)+E(f327(f327(f85(x53101),f327(f83(x53101),x53102)),x53103),f327(f327(f85(x53101),x53102),f327(f83(x53101),x53103))) % 153.71/153.54 [5316]~P12(x53161,x53162,x53163)+E(f45(f841(x53161,a831),f327(f327(f62(x53161),x53162),x53163)),x53162) % 153.71/153.54 [5378]~P102(x53781)+E(f327(f327(f85(x53781),x53782),f327(f327(f237(x53781),x53782),x53783)),f327(f327(f237(x53781),x53782),f327(a111,x53783))) % 153.71/153.54 [5379]~P82(x53791)+E(f327(f327(f85(x53791),x53792),f327(f327(f237(x53791),x53792),x53793)),f327(f327(f237(x53791),x53792),f327(a111,x53793))) % 153.71/153.54 [5389]~P67(x53891)+E(f327(f327(f84(x53891),f327(f83(x53891),x53892)),f327(f327(f84(x53891),x53892),x53893)),x53893) % 153.71/153.54 [5409]~P1(x54091)+E(f327(f327(f237(x54091),f327(f99(x54091),x54092)),x54093),f327(f99(x54091),f327(f327(f237(a834),x54092),x54093))) % 153.71/153.54 [5410]~P130(x54101)+E(f327(f327(f237(x54101),f327(f102(x54101),x54102)),x54103),f327(f102(x54101),f327(f327(f237(a1),x54102),x54103))) % 153.71/153.54 [5415]~P76(x54151)+E(f327(f79(x54151),f327(f327(f3(x54151),x54152),x54153)),f327(f79(x54151),f327(f327(f3(x54151),x54153),x54152))) % 153.71/153.54 [5419]~P107(x54191)+E(f327(f327(f85(x54191),f86(x54191,x54192)),f86(x54191,x54193)),f86(x54191,f327(f327(f85(x54191),x54192),x54193))) % 153.71/153.54 [5423]E(x54231,f112(x54232))+E(f327(f327(f122(x54232),f327(f153(x54232),x54231)),x54233),f327(f153(x54232),f327(f327(f122(x54232),x54231),x54233))) % 153.71/153.54 [5429]~E(x54292,f327(a111,f327(f327(f84(a834),x54291),x54293)))+P134(f327(f327(f228(a834),x54291),x54292)) % 153.71/153.54 [5430]~P117(x54301)+E(f327(f327(f85(x54301),f327(f83(x54301),x54302)),x54303),f327(f83(x54301),f327(f327(f85(x54301),x54302),x54303))) % 153.71/153.54 [5431]~P110(x54311)+E(f327(f327(f278(x54311),f327(f83(x54311),x54312)),x54313),f327(f83(x54311),f327(f327(f278(x54311),x54312),x54313))) % 153.71/153.54 [5432]~P107(x54321)+E(f327(f327(f237(x54321),f327(f79(x54321),x54322)),x54323),f327(f79(x54321),f327(f327(f237(x54321),x54322),x54323))) % 153.71/153.54 [5533]E(f479(x55331,x55332,x55333),f483(x55331,x55332,x55333))+E(f327(f327(f101(f841(x55333,a831)),x55332),x55331),f176(f841(x55333,a831))) % 153.71/153.54 [5547]~P65(x55472)+E(f327(f327(f8(x55471,x55472),f327(f18(x55472,x55471),f2(x55472))),x55473),f2(x55472)) % 153.71/153.54 [5548]~P68(x55482)+E(f327(f327(f11(x55481,x55482),f327(f18(x55482,x55481),f82(x55482))),x55483),f82(x55482)) % 153.71/153.54 [5550]~P1(x55501)+E(f327(f327(f84(x55501),f327(f99(x55501),x55502)),f327(f99(x55501),x55503)),f327(f99(x55501),f327(f327(f84(a834),x55502),x55503))) % 153.71/153.54 [5551]~P1(x55511)+E(f327(f327(f85(x55511),f327(f99(x55511),x55512)),f327(f99(x55511),x55513)),f327(f99(x55511),f327(f327(f85(a834),x55512),x55513))) % 153.71/153.54 [5552]~P130(x55521)+E(f327(f327(f84(x55521),f327(f102(x55521),x55522)),f327(f102(x55521),x55523)),f327(f102(x55521),f327(f327(f84(a1),x55522),x55523))) % 153.71/153.54 [5553]~P130(x55531)+E(f327(f327(f85(x55531),f327(f102(x55531),x55532)),f327(f102(x55531),x55533)),f327(f102(x55531),f327(f327(f85(a1),x55532),x55533))) % 153.71/153.54 [5554]~P130(x55541)+E(f327(f327(f3(x55541),f327(f102(x55541),x55542)),f327(f102(x55541),x55543)),f327(f102(x55541),f327(f327(f3(a1),x55542),x55543))) % 153.71/153.54 [5557]~P85(x55571)+E(f327(f327(f3(x55571),f327(f103(x55571),x55572)),f327(f103(x55571),x55573)),f327(f103(x55571),f327(f327(f3(a1),x55572),x55573))) % 153.71/153.54 [5558]~P85(x55581)+E(f327(f327(f84(x55581),f327(f103(x55581),x55582)),f327(f103(x55581),x55583)),f327(f103(x55581),f327(f327(f84(a1),x55582),x55583))) % 153.71/153.54 [5559]~P85(x55591)+E(f327(f327(f85(x55591),f327(f103(x55591),x55592)),f327(f103(x55591),x55593)),f327(f103(x55591),f327(f327(f85(a1),x55592),x55593))) % 153.71/153.54 [5607]~E(x56073,x56072)+P134(f327(f327(f227(f841(x56071,a831)),x56072),x56073)) % 153.71/153.54 [5613]~E(x56132,x56133)+P134(f327(f327(f227(f841(x56131,a831)),x56132),x56133)) % 153.71/153.54 [5622]~P67(x56221)+E(f327(f327(f84(x56221),f327(f83(x56221),x56222)),f327(f83(x56221),x56223)),f327(f83(x56221),f327(f327(f84(x56221),x56223),x56222))) % 153.71/153.54 [5623]~P6(x56231)+E(f327(f327(f84(x56231),f327(f83(x56231),x56232)),f327(f83(x56231),x56233)),f327(f83(x56231),f327(f327(f84(x56231),x56232),x56233))) % 153.71/153.54 [5624]~P66(x56241)+E(f327(f327(f175(x56241),f327(f83(x56241),x56242)),f327(f83(x56241),x56243)),f327(f83(x56241),f327(f327(f231(x56241),x56242),x56243))) % 153.71/153.54 [5625]~P66(x56251)+E(f327(f327(f231(x56251),f327(f83(x56251),x56252)),f327(f83(x56251),x56253)),f327(f83(x56251),f327(f327(f175(x56251),x56252),x56253))) % 153.71/153.54 [5626]~P87(x56261)+E(f327(f327(f101(x56261),f327(f83(x56261),x56262)),f327(f83(x56261),x56263)),f327(f83(x56261),f327(f327(f100(x56261),x56262),x56263))) % 153.71/153.54 [5627]~P87(x56271)+E(f327(f327(f100(x56271),f327(f83(x56271),x56272)),f327(f83(x56271),x56273)),f327(f83(x56271),f327(f327(f101(x56271),x56272),x56273))) % 153.71/153.54 [5628]~P107(x56281)+E(f327(f327(f85(x56281),f327(f79(x56281),x56282)),f327(f79(x56281),x56283)),f327(f79(x56281),f327(f327(f85(x56281),x56282),x56283))) % 153.71/153.54 [5629]~P60(x56291)+E(f327(f327(f278(x56291),f327(f79(x56291),x56292)),f327(f79(x56291),x56293)),f327(f79(x56291),f327(f327(f278(x56291),x56292),x56293))) % 153.71/153.54 [5630]~P64(x56301)+E(f327(f327(f84(x56301),f327(f148(x56301),x56302)),f327(f148(x56301),x56303)),f327(f148(x56301),f327(f327(f122(x56301),x56302),x56303))) % 153.71/153.54 [5631]E(x56311,f176(f841(x56312,a831)))+~E(f327(f327(f100(f841(x56312,a831)),x56313),x56311),f176(f841(x56312,a831))) % 153.71/153.54 [5632]E(x56321,f176(f841(x56322,a831)))+~E(f327(f327(f100(f841(x56322,a831)),x56321),x56323),f176(f841(x56322,a831))) % 153.71/153.54 [5633]~P139(x56331,x56333,x56332)+P134(f327(x56331,f327(f327(f44(a1),x56332),x56333))) % 153.71/153.54 [5697]~P134(f327(f66(x56971),x56973))+P134(f327(f66(x56971),f327(f327(f297(x56971),x56972),x56973))) % 153.71/153.54 [5698]~P134(f327(f124(x56981),x56983))+P134(f327(f124(x56981),f327(f327(f155(x56981),x56982),x56983))) % 153.71/153.54 [5699]~P134(f327(f124(x56991),x56993))+P134(f327(f124(x56991),f327(f327(f125(x56991),x56992),x56993))) % 153.71/153.54 [5730]~P97(x57301)+P134(f327(f327(f227(x57301),x57302),f327(f327(f175(x57301),x57303),x57302))) % 153.71/153.54 [5731]~P97(x57311)+P134(f327(f327(f227(x57311),x57312),f327(f327(f175(x57311),x57312),x57313))) % 153.71/153.54 [5732]~P89(x57321)+P134(f327(f327(f227(x57321),x57322),f327(f327(f100(x57321),x57323),x57322))) % 153.71/153.54 [5733]~P94(x57331)+P134(f327(f327(f227(x57331),x57332),f327(f327(f100(x57331),x57333),x57332))) % 153.71/153.54 [5734]~P89(x57341)+P134(f327(f327(f227(x57341),x57342),f327(f327(f100(x57341),x57342),x57343))) % 153.71/153.54 [5735]~P94(x57351)+P134(f327(f327(f227(x57351),x57352),f327(f327(f100(x57351),x57352),x57353))) % 153.71/153.54 [5736]~P82(x57361)+P134(f327(f327(f274(x57361),x57362),f327(f327(f85(x57361),x57363),x57362))) % 153.71/153.54 [5737]~P82(x57371)+P134(f327(f327(f274(x57371),x57372),f327(f327(f85(x57371),x57372),x57373))) % 153.71/153.54 [5750]~E(x57501,f2(a834))+E(f327(f327(f44(a834),f327(f327(f85(a834),x57501),x57502)),f327(f327(f85(a834),x57501),x57503)),f2(a834)) % 153.71/153.54 [5832]~P85(x58321)+E(f327(f327(f3(x58321),f327(f103(x58321),x58322)),f327(f103(x58321),x58323)),f327(f103(x58321),f327(f327(f84(a1),x58322),f327(f83(a1),x58323)))) % 153.71/153.54 [5892]E(x58921,f2(a834))+E(f327(f327(f44(a834),f327(f327(f85(a834),x58921),x58922)),f327(f327(f85(a834),x58921),x58923)),f327(f327(f44(a834),x58922),x58923)) % 153.71/153.54 [5925]E(f137(x59251,f327(f327(f136(x59251),x59252),x59253)),f327(f327(f136(x59251),x59252),f137(x59251,x59253)))+P134(f327(f327(f329(x59251),x59252),f327(f154(x59251),x59253))) % 153.71/153.54 [5958]P139(x59581,x59582,x59583)+~P134(f327(x59581,f327(f327(f44(a1),x59583),x59582))) % 153.71/153.54 [6035]E(x60351,f112(x60352))+E(f327(f327(f136(x60352),f327(f127(x60352),x60351)),f327(f327(f155(x60352),x60353),f327(f153(x60352),x60351))),f327(f327(f155(x60352),f327(a111,x60353)),x60351)) % 153.71/153.54 [6043]E(f327(f327(f3(f841(x60431,a831)),x60432),x60433),x60432)+~E(f327(f327(f101(f841(x60431,a831)),x60432),x60433),f176(f841(x60431,a831))) % 153.71/153.54 [6056]E(f137(x60561,f327(f327(f136(x60561),x60562),x60563)),f137(x60561,x60563))+~P134(f327(f327(f329(x60561),x60562),f327(f154(x60561),x60563))) % 153.71/153.54 [6090]~P134(f327(f327(f228(a834),x60901),x60903))+P134(f327(f327(f228(a834),x60901),f327(f327(f84(a834),x60902),x60903))) % 153.71/153.54 [6092]~P134(f327(f327(f228(a834),x60921),x60922))+P134(f327(f327(f228(a834),x60921),f327(f327(f84(a834),x60922),x60923))) % 153.71/153.54 [6094]~P134(f327(f327(f227(a834),x60941),x60943))+P134(f327(f327(f227(a834),x60941),f327(f327(f84(a834),x60942),x60943))) % 153.71/153.54 [6096]~P134(f327(f327(f227(a834),x60961),x60962))+P134(f327(f327(f227(a834),x60961),f327(f327(f84(a834),x60962),x60963))) % 153.71/153.54 [6135]P134(f327(f66(x61351),x61352))+~P134(f327(f66(x61351),f327(f327(f297(x61351),x61353),x61352))) % 153.71/153.54 [6136]P134(f327(f124(x61361),x61362))+~P134(f327(f124(x61361),f327(f327(f136(x61361),x61363),x61362))) % 153.71/153.54 [6137]P134(f327(f124(x61371),x61372))+~P134(f327(f124(x61371),f327(f327(f122(x61371),x61373),x61372))) % 153.71/153.54 [6138]P134(f327(f124(x61381),x61382))+~P134(f327(f124(x61381),f327(f327(f122(x61381),x61382),x61383))) % 153.71/153.54 [6185]~E(f53(a1,x61852,x61851),f53(a1,x61853,x61851))+P134(f327(f327(f274(a1),x61851),f327(f327(f3(a1),x61852),x61853))) % 153.71/153.54 [6190]~P82(x61901)+E(f327(f327(f84(x61901),x61902),f327(f327(f85(x61901),x61903),x61902)),f327(f327(f85(x61901),f327(f327(f84(x61901),x61903),f82(x61901))),x61902)) % 153.71/153.54 [6239]~E(x62391,x62392)+~P134(f327(f327(f228(f841(x62393,a831)),x62391),x62392)) % 153.71/153.54 [6286]P134(f327(f327(f329(x62861),x62862),x62863))+P134(f327(f327(f329(x62861),x62862),f327(f83(f841(x62861,a831)),x62863))) % 153.71/153.54 [6293]E(f130(x62931,f327(f327(f125(x62931),x62932),x62933)),f130(x62931,x62933))+~P134(f327(f327(f228(a834),x62932),f327(f177(f835(x62931)),x62933))) % 153.71/153.54 [6294]E(f327(f327(f155(x62941),x62942),f113(x62941,x62943)),f327(f327(f155(x62941),x62942),x62943))+~P134(f327(f327(f228(a834),x62942),f327(f177(f835(x62941)),x62943))) % 153.71/153.54 [6352]E(f327(f327(f327(f169(f835(x63521),f835(x63521)),x63522),f150(x63521)),x63523),x63523)+~E(f53(a834,x63522,f327(f177(f835(x63521)),x63523)),f2(a834)) % 153.71/153.54 [6359]~P12(x63591,x63593,x63592)+E(f327(f327(f276(x63591,x63591,x63591),f327(f273(x63591,x63591),x63592)),x63592),x63592) % 153.71/153.54 [6403]~E(f327(f327(f100(f841(x64031,a831)),x64032),x64033),x64033)+P134(f327(f327(f227(f841(x64031,a831)),x64032),x64033)) % 153.71/153.54 [6408]~P51(x64081,x64081,x64083)+P51(x64081,x64081,f327(f327(f169(f840(x64081,x64081),a831),x64082),x64083)) % 153.71/153.54 [6410]~P134(f327(f327(f329(x64101),x64103),f327(f154(x64101),x64102)))+P134(f327(f327(f228(a834),f2(a834)),f327(f177(f835(x64101)),x64102))) % 153.71/153.54 [6438]~P76(x64381)+E(f327(f79(x64381),f327(f327(f84(x64381),f327(f79(x64381),x64382)),f327(f79(x64381),x64383))),f327(f327(f84(x64381),f327(f79(x64381),x64382)),f327(f79(x64381),x64383))) % 153.71/153.54 [6448]E(f327(f327(f44(a834),f327(f327(f85(a834),x64481),x64482)),f327(f327(f85(a834),x64481),x64483)),f327(f327(f44(a834),x64482),x64483))+~P134(f327(f327(f228(a834),f2(a834)),x64481)) % 153.71/153.54 [6476]E(f53(a1,x64761,x64762),f53(a1,x64763,x64762))+~P134(f327(f327(f274(a1),x64762),f327(f327(f3(a1),x64761),x64763))) % 153.71/153.54 [6588]~P134(f327(f66(x65881),x65883))+E(f327(f327(f69(x65881,f841(x65881,a831),f297(x65881)),x65882),x65883),f327(f327(f100(f841(x65881,a831)),x65883),x65882)) % 153.71/153.54 [6651]E(f327(f327(f100(f841(x66511,a831)),x66512),x66513),x66512)+~P134(f327(f327(f227(f841(x66511,a831)),x66513),x66512)) % 153.71/153.54 [6653]E(f327(f327(f100(f841(x66531,a831)),x66532),x66533),x66533)+~P134(f327(f327(f227(f841(x66531,a831)),x66532),x66533)) % 153.71/153.54 [6654]E(f327(f327(f101(f841(x66541,a831)),x66542),x66543),x66543)+~P134(f327(f327(f227(f841(x66541,a831)),x66543),x66542)) % 153.71/153.54 [6655]E(f327(f327(f101(f841(x66551,a831)),x66552),x66553),x66552)+~P134(f327(f327(f227(f841(x66551,a831)),x66552),x66553)) % 153.71/153.54 [6707]~P134(f327(f124(x67071),x67072))+E(f327(f327(f3(f841(x67071,a831)),f327(f154(x67071),x67072)),f327(f327(f297(x67071),x67073),f176(f841(x67071,a831)))),f327(f154(x67071),f152(x67071,x67073,x67072))) % 153.71/153.54 [6765]P33(x67651,x67652)+~P33(x67651,f327(f327(f169(f840(x67651,x67651),a831),x67653),x67652)) % 153.71/153.54 [6780]~E(x67801,f2(a834))+P134(f327(f327(f274(a834),f327(f327(f85(a834),x67801),x67802)),f327(f327(f85(a834),x67801),x67803))) % 153.71/153.54 [6800]~E(f53(a834,x68003,x68002),x68001)+E(f327(f327(f84(a834),x68001),f327(f327(f85(a834),f822(x68001,x68002,x68003)),x68002)),x68003) % 153.71/153.54 [6833]P134(f327(f57(x68331,x68332),f327(a59,x68333)))+~P134(f327(f57(f327(f83(a1),x68331),f327(f83(a1),x68332)),x68333)) % 153.71/153.54 [6838]E(f327(f327(f3(f841(x68381,a831)),f327(f327(f297(x68381),x68382),x68383)),f327(f327(f297(x68381),x68382),f176(f841(x68381,a831)))),x68383)+P134(f327(f327(f329(x68381),x68382),x68383)) % 153.71/153.54 [6856]E(f327(f327(f101(f841(x68561,a831)),f327(f154(x68561),x68562)),f327(f154(x68561),x68563)),f176(f841(x68561,a831)))+~P134(f327(f124(x68561),f327(f327(f122(x68561),x68562),x68563))) % 153.71/153.54 [6877]~P134(f327(f327(f329(x68771),x68772),f327(f154(x68771),x68773)))+~P134(f327(f124(x68771),f327(f327(f136(x68771),x68772),x68773))) % 153.71/153.54 [6956]E(f327(f327(f101(f841(x69561,a831)),x69562),x69563),f176(f841(x69561,a831)))+P134(f327(f327(f329(x69561),f479(x69563,x69562,x69561)),x69562)) % 153.71/153.54 [6957]E(f327(f327(f101(f841(x69571,a831)),x69572),x69573),f176(f841(x69571,a831)))+P134(f327(f327(f329(x69571),f483(x69573,x69572,x69571)),x69573)) % 153.71/153.54 [6961]E(f113(x69611,f327(f327(f155(x69611),x69612),x69613)),f327(f327(f155(x69611),f327(f327(f3(a834),x69612),f82(a834))),x69613))+~P134(f327(f327(f227(a834),x69612),f327(f177(f835(x69611)),x69613))) % 153.71/153.54 [7045]P134(f327(f327(f228(a834),f2(a834)),x70451))+P134(f327(f327(f227(a834),f327(f327(f85(a834),x70452),x70451)),f327(f327(f85(a834),x70453),x70451))) % 153.71/153.54 [7046]P134(f327(f327(f228(a834),f2(a834)),x70461))+P134(f327(f327(f227(a834),f327(f327(f85(a834),x70461),x70462)),f327(f327(f85(a834),x70461),x70463))) % 153.71/153.54 [7049]~P134(f327(f327(f329(x70491),x70492),x70493))+~P134(f327(f327(f329(x70491),x70492),f327(f83(f841(x70491,a831)),x70493))) % 153.71/153.54 [7055]~P134(f327(f327(f228(f841(x70551,a831)),x70552),x70553))+P134(f327(f327(f227(f841(x70551,a831)),x70552),x70553)) % 153.71/153.54 [7161]~P134(f327(f327(f228(a834),x71612),x71613))+P134(f327(f327(f228(a834),f327(f327(f84(a834),x71611),x71612)),f327(f327(f84(a834),x71611),x71613))) % 153.71/153.54 [7162]~P134(f327(f327(f228(a834),x71621),x71623))+P134(f327(f327(f228(a834),f327(f327(f84(a834),x71621),x71622)),f327(f327(f84(a834),x71623),x71622))) % 153.71/153.54 [7163]~P134(f327(f327(f228(a1),x71631),x71633))+P134(f327(f327(f228(a1),f327(f327(f84(a1),x71631),x71632)),f327(f327(f84(a1),x71633),x71632))) % 153.71/153.54 [7166]~P134(f327(f327(f227(a834),x71662),x71663))+P134(f327(f327(f227(a834),f327(f327(f84(a834),x71661),x71662)),f327(f327(f84(a834),x71661),x71663))) % 153.71/153.54 [7167]~P134(f327(f327(f227(a834),x71671),x71673))+P134(f327(f327(f227(a834),f327(f327(f84(a834),x71671),x71672)),f327(f327(f84(a834),x71673),x71672))) % 153.71/153.54 [7169]~P134(f327(f327(f227(a834),x71692),x71693))+P134(f327(f327(f227(a834),f327(f327(f85(a834),x71691),x71692)),f327(f327(f85(a834),x71691),x71693))) % 153.71/153.54 [7171]~P134(f327(f327(f227(a834),x71711),x71713))+P134(f327(f327(f227(a834),f327(f327(f85(a834),x71711),x71712)),f327(f327(f85(a834),x71713),x71712))) % 153.71/153.54 [7172]~P134(f327(f327(f227(a834),x71721),x71723))+P134(f327(f327(f227(a834),f327(f327(f44(a834),x71721),x71722)),f327(f327(f44(a834),x71723),x71722))) % 153.71/153.54 [7173]~P134(f327(f327(f227(a834),x71733),x71732))+P134(f327(f327(f227(a834),f327(f327(f3(a834),x71731),x71732)),f327(f327(f3(a834),x71731),x71733))) % 153.71/153.54 [7174]~P134(f327(f327(f227(a834),x71741),x71743))+P134(f327(f327(f227(a834),f327(f327(f3(a834),x71741),x71742)),f327(f327(f3(a834),x71743),x71742))) % 153.71/153.54 [7175]~P134(f327(f327(f227(a1),x71752),x71753))+P134(f327(f327(f227(a1),f327(f327(f84(a1),x71751),x71752)),f327(f327(f84(a1),x71751),x71753))) % 153.71/153.54 [7178]~P134(f327(f327(f274(a834),x71782),x71783))+P134(f327(f327(f274(a834),f327(f327(f85(a834),x71781),x71782)),f327(f327(f85(a834),x71781),x71783))) % 153.71/153.54 [7265]E(x72651,x72652)+~P134(f327(f327(f329(x72653),x72651),f327(f327(f297(x72653),x72652),f176(f841(x72653,a831))))) % 153.71/153.54 [7267]~E(f327(f327(f101(f841(x72671,a831)),x72672),x72673),f176(f841(x72671,a831)))+P134(f327(f327(f227(f841(x72671,a831)),x72672),f327(f83(f841(x72671,a831)),x72673))) % 153.71/153.54 [7274]P134(f327(f327(f329(f841(x72741,a831)),x72742),f327(f296(x72741),x72743)))+~P134(f327(f327(f227(f841(x72741,a831)),x72742),x72743)) % 153.71/153.54 [7330]E(f327(f327(f136(x73301),f327(f327(f146(x73301),x73302),x73303)),f327(f327(f125(x73301),f327(a111,x73303)),x73302)),f327(f327(f125(x73301),x73303),x73302))+~P134(f327(f327(f228(a834),x73303),f327(f177(f835(x73301)),x73302))) % 153.71/153.54 [7359]P134(f327(f327(f329(f840(x73591,x73591)),x73592),f295(x73591,x73593)))+~P134(f327(f327(f329(f840(x73591,x73591)),x73592),x73593)) % 153.71/153.54 [7368]~P134(f327(f327(f329(f841(x73681,a831)),x73682),f327(f296(x73681),x73683)))+P134(f327(f327(f227(f841(x73681,a831)),x73682),x73683)) % 153.71/153.54 [7409]P134(f327(f327(f227(f841(x74091,a831)),x74092),f45(f841(x74091,a831),x74093)))+~P134(f327(f327(f329(f841(x74091,a831)),x74092),x74093)) % 153.71/153.54 [7437]~P130(x74371)+E(f327(f327(f85(x74371),f327(f327(f237(x74371),f327(f83(x74371),f82(x74371))),x74372)),f327(f327(f237(x74371),x74373),x74372)),f327(f327(f237(x74371),f327(f83(x74371),x74373)),x74372)) % 153.71/153.54 [7460]E(f327(f327(f146(x74601),x74602),f327(f327(f3(a834),f327(f177(f835(x74601)),x74602)),f327(a111,x74603))),f327(f327(f146(x74601),f327(f151(x74601),x74602)),x74603))+~P134(f327(f327(f228(a834),x74603),f327(f177(f835(x74601)),x74602))) % 153.71/153.54 [7477]~E(f327(f327(f101(f841(x74771,a831)),f648(x74773,x74772,x74771)),x74773),f176(f841(x74771,a831)))+E(f327(f327(f101(f841(x74771,a831)),f45(f841(x74771,a831),x74772)),x74773),f176(f841(x74771,a831))) % 153.71/153.54 [7540]~P134(f327(f327(f329(x75403),x75402),f327(f154(x75403),x75401)))+P134(f327(f327(f228(a834),f712(x75401,x75402,x75403)),f327(f177(f835(x75403)),x75401))) % 153.71/153.54 [7548]P134(f327(f327(f329(x75481),f327(f327(f146(x75481),x75482),x75483)),f327(f154(x75481),x75482)))+~P134(f327(f327(f228(a834),x75483),f327(f177(f835(x75481)),x75482))) % 153.71/153.54 [7647]~P134(f327(x76472,f756(x76473,x76472,x76471)))+E(f327(f327(f125(x76471),f327(f177(f835(x76471)),f158(x76471,x76472,x76473))),x76473),f112(x76471)) % 153.71/153.54 [7657]P134(f327(f327(f227(f841(f835(x76571),a831)),f144(x76571,x76572)),f144(x76571,x76573)))+~P134(f327(f327(f227(f841(x76571,a831)),x76572),x76573)) % 153.71/153.54 [7685]E(f327(f327(f101(f841(x76851,a831)),f45(f841(x76851,a831),x76852)),x76853),f176(f841(x76851,a831)))+P134(f327(f327(f329(f841(x76851,a831)),f648(x76853,x76852,x76851)),x76852)) % 153.71/153.54 [7687]~P134(f327(f327(f329(f841(x76871,a831)),x76873),x76872))+P134(f327(f327(f227(f841(x76871,a831)),f46(f841(x76871,a831),x76872)),x76873)) % 153.71/153.54 [7689]E(f327(f327(f101(f841(x76891,a831)),x76892),x76893),f176(f841(x76891,a831)))+~P134(f327(f327(f227(f841(x76891,a831)),x76892),f327(f83(f841(x76891,a831)),x76893))) % 153.71/153.54 [7741]E(f327(f327(f3(a834),f327(f327(f84(a834),f327(f148(a834),x77411)),x77412)),f327(f327(f146(a834),x77411),x77413)),f327(f148(a834),f327(f327(f143(a834,x77411),x77413),x77412)))+~P134(f327(f327(f228(a834),x77413),f327(f177(f835(a834)),x77411))) % 153.71/153.54 [7792]P134(f327(f327(f228(a834),x77921),x77922))+~P134(f327(f327(f228(a834),f327(f327(f84(a834),x77923),x77921)),f327(f327(f84(a834),x77923),x77922))) % 153.71/153.54 [7793]P134(f327(f327(f228(a834),x77931),x77932))+~P134(f327(f327(f228(a834),f327(f327(f85(a834),x77933),x77931)),f327(f327(f85(a834),x77933),x77932))) % 153.71/153.54 [7794]P134(f327(f327(f228(a834),x77941),x77942))+~P134(f327(f327(f228(a834),f327(f327(f85(a834),x77941),x77943)),f327(f327(f85(a834),x77942),x77943))) % 153.71/153.54 [7797]P134(f327(f327(f227(a834),x77971),x77972))+~P134(f327(f327(f227(a834),f327(f327(f84(a834),x77973),x77971)),f327(f327(f84(a834),x77973),x77972))) % 153.71/153.54 [7826]P134(f327(f327(f228(a834),f2(a834)),x78261))+~P134(f327(f327(f228(a834),f327(f327(f85(a834),x78262),x78261)),f327(f327(f85(a834),x78263),x78261))) % 153.71/153.54 [7827]P134(f327(f327(f228(a834),f2(a834)),x78271))+~P134(f327(f327(f228(a834),f327(f327(f85(a834),x78271),x78272)),f327(f327(f85(a834),x78271),x78273))) % 153.71/153.54 [7900]E(f239(x79001,x79002,x79003),x79002)+~P134(f327(f327(f227(f841(x79001,a831)),x79003),f327(f327(f297(x79001),x79002),f176(f841(x79001,a831))))) % 153.71/153.54 [7968]E(f327(f327(f125(x79681),f327(f177(f835(x79681)),f158(x79681,x79682,x79683))),x79683),f112(x79681))+P134(f327(f327(f329(x79681),f756(x79683,x79682,x79681)),f327(f154(x79681),x79683))) % 153.71/153.54 [7973]E(f327(f327(f122(x79731),f327(f327(f155(x79731),x79732),x79733)),f327(f327(f136(x79731),f327(f327(f146(x79731),x79733),x79732)),f112(x79731))),f327(f327(f155(x79731),f327(a111,x79732)),x79733))+~P134(f327(f327(f228(a834),x79732),f327(f177(f835(x79731)),x79733))) % 153.71/153.54 [8040]P134(f327(f327(f227(f841(f841(x80401,a831),a831)),f240(x80401,x80402)),f240(x80401,x80403)))+~P134(f327(f327(f227(f841(x80401,a831)),x80402),x80403)) % 153.71/153.54 [8080]~P134(f327(f124(x80801),x80803))+P134(f327(f124(x80801),f327(f327(f327(f169(f835(x80801),f835(x80801)),x80802),f150(x80801)),x80803))) % 153.71/153.54 [8085]~P134(f327(f327(f228(a834),x80852),x80853))+P134(f327(f327(f228(a834),f327(f327(f85(a834),f327(a111,x80851)),x80852)),f327(f327(f85(a834),f327(a111,x80851)),x80853))) % 153.71/153.54 [8107]P134(f327(f327(f227(f841(f841(x81071,a831),a831)),f327(f296(x81071),x81072)),f327(f296(x81071),x81073)))+~P134(f327(f327(f227(f841(x81071,a831)),x81072),x81073)) % 153.71/153.54 [8263]~P134(f327(f327(f227(f841(x82631,a831)),x82633),x82632))+P134(f327(f327(f227(f841(x82631,a831)),f327(f83(f841(x82631,a831)),x82632)),f327(f83(f841(x82631,a831)),x82633))) % 153.71/153.54 [8298]E(f327(f298(a834,a834,f327(f327(f9(a834,a834,a834),f3(a834)),x82981)),f327(f289(a834,x82982),x82983)),f327(f289(a834,f327(f327(f3(a834),x82982),x82981)),f327(f327(f3(a834),x82983),x82981)))+~P134(f327(f327(f228(a834),x82981),x82983)) % 153.71/153.54 [8323]~P64(x83231)+E(f327(f327(f84(x83231),x83232),f327(f128(x83231,x83231,f84(x83231),f2(x83231)),x83233)),f327(f128(x83231,x83231,f84(x83231),x83232),x83233)) % 153.71/153.54 [8396]~P76(x83961)+P134(f327(f327(f227(x83961),f327(f79(x83961),f327(f327(f84(x83961),x83962),x83963))),f327(f327(f84(x83961),f327(f79(x83961),x83962)),f327(f79(x83961),x83963)))) % 153.71/153.54 [8397]~P76(x83971)+P134(f327(f327(f227(x83971),f327(f79(x83971),f327(f327(f3(x83971),x83972),x83973))),f327(f327(f84(x83971),f327(f79(x83971),x83972)),f327(f79(x83971),x83973)))) % 153.71/153.54 [8407]E(f327(f327(f84(a1),f327(f327(f85(a1),x84071),f53(a1,f327(f327(f44(a1),x84072),x84071),x84073))),f53(a1,x84072,x84071)),f53(a1,x84072,f327(f327(f85(a1),x84071),x84073)))+~P134(f327(f327(f228(a1),f2(a1)),x84073)) % 153.71/153.54 [8416]E(f327(f327(f122(x84161),f327(f327(f155(x84161),x84162),x84163)),f327(f327(f136(x84161),f327(f127(x84161),f327(f327(f125(x84161),x84162),x84163))),f112(x84161))),f327(f327(f155(x84161),f327(a111,x84162)),x84163))+~P134(f327(f327(f228(a834),x84162),f327(f177(f835(x84161)),x84163))) % 153.71/153.54 [8435]E(f327(f260(x84351,f327(f327(f138(x84351,f840(a98,x84351)),f327(f236(a98,x84351),f82(a98))),x84352)),f327(a5,x84353)),f327(f327(f146(x84351),x84352),x84353))+~P134(f327(f327(f228(a834),x84353),f327(f177(f835(x84351)),x84352))) % 153.71/153.54 [8492]P134(f327(f327(f329(f840(x84921,x84921)),x84922),f327(f327(f276(x84921,x84921,x84921),x84923),f295(x84921,x84923))))+~P134(f327(f327(f329(f840(x84921,x84921)),x84922),x84923)) % 153.71/153.54 [8509]P134(f327(f327(f227(a834),x85091),x85092))+~P134(f327(f327(f227(a834),f327(f327(f85(a834),f327(a111,x85093)),x85091)),f327(f327(f85(a834),f327(a111,x85093)),x85092))) % 153.71/153.54 [8520]P134(f327(f327(f227(f841(x85201,a831)),x85202),x85203))+~P134(f327(f327(f227(f841(x85201,a831)),f327(f83(f841(x85201,a831)),x85203)),f327(f83(f841(x85201,a831)),x85202))) % 153.71/153.54 [8538]P134(f327(f124(x85381),x85382))+~P134(f327(f124(x85381),f327(f327(f327(f169(f835(x85381),f835(x85381)),x85383),f150(x85381)),x85382))) % 153.71/153.54 [8604]E(f327(f272(x86041,x86041,f295(x86041,x86042)),x86043),x86043)+~P134(f327(f327(f227(f841(x86041,a831)),f327(f272(x86041,x86041,x86042),x86043)),x86043)) % 153.71/153.54 [8606]E(f327(f298(f840(x86061,x86062),x86062,f245(x86061,x86062)),f327(f154(f840(x86061,x86062)),x86063)),f167(x86061,x86062,f162(x86061,x86062,x86063)))+~P134(f327(f124(x86061),f327(f327(f138(f840(x86061,x86062),x86061),f235(x86061,x86062)),x86063))) % 153.71/153.54 [8646]~P97(x86461)+P18(x86461,f327(f123(x86461,f327(f327(f9(x86461,x86461,a831),a324),f327(x86462,x86463))),x86463)) % 153.71/153.54 [8651]~P134(f327(f327(f227(a834),x86511),x86512))+P134(f327(f327(f227(a834),x86511),f327(f128(a834,a834,f84(a834),x86512),x86513))) % 153.71/153.54 [8722]~P134(f327(f327(f329(f840(x87221,x87221)),x87222),f295(x87221,x87223)))+P134(f327(f327(f329(f840(x87221,x87221)),x87222),f327(f327(f169(f840(x87221,x87221),a831),f632(x87223,x87222,x87221)),x87223))) % 153.71/153.54 [8789]~P64(x87891)+E(f327(f327(f84(x87891),x87892),f327(f128(x87891,x87891,f327(f9(x87891,x87891,x87891),f84(x87891)),f2(x87891)),f327(f151(x87891),x87893))),f327(f128(x87891,x87891,f84(x87891),x87892),x87893)) % 153.71/153.54 [9043]P51(x90431,x90432,x90433)+P134(f327(f327(f329(f840(x90431,x90432)),f327(f327(f236(x90431,x90432),f625(x90433,x90432,x90431)),f624(x90433,x90432,x90431))),x90433)) % 153.71/153.54 [9044]P51(x90441,x90442,x90443)+P134(f327(f327(f329(f840(x90441,x90442)),f327(f327(f236(x90441,x90442),f625(x90443,x90442,x90441)),f623(x90443,x90442,x90441))),x90443)) % 153.71/153.54 [9099]~P134(f327(f327(f329(f840(x90991,x90991)),x90992),f327(f327(f276(x90991,x90991,x90991),x90993),f295(x90991,x90993))))+P134(f327(f327(f329(f840(x90991,x90991)),x90992),f327(f327(f169(f840(x90991,x90991),a831),f636(x90993,x90992,x90991)),x90993))) % 153.71/153.54 [9100]~P134(f327(x91001,f327(f327(f146(x91002),x91003),f327(f177(f835(x91002)),f158(x91002,x91001,x91003)))))+~P134(f327(f327(f228(a834),f327(f177(f835(x91002)),f158(x91002,x91001,x91003))),f327(f177(f835(x91002)),x91003))) % 153.71/153.54 [9178]~P134(f327(f327(f227(f841(x91781,a831)),x91782),x91783))+P134(f327(f327(f227(f841(x91781,a831)),f327(f327(f9(x91781,f841(x91781,a831),a831),f329(x91781)),x91782)),f327(f327(f9(x91781,f841(x91781,a831),a831),f329(x91781)),x91783))) % 153.71/153.54 [9233]~P134(f327(f327(f329(f840(f841(x92331,a831),f841(x92331,a831))),f327(f327(f236(f841(x92331,a831),f841(x92331,a831)),x92332),x92333)),f294(x92331)))+P134(f327(f327(f228(f841(x92331,a831)),x92332),x92333)) % 153.71/153.54 [9258]P52(x92581,x92582,x92583)+~P134(f327(f327(f329(f840(x92581,x92581)),f327(f327(f236(x92581,x92581),f635(x92583,x92582,x92581)),f634(x92583,x92582,x92581))),x92583)) % 153.71/153.54 [9259]P52(x92591,x92592,x92593)+~P134(f327(f327(f329(f840(x92591,x92591)),f327(f327(f236(x92591,x92591),f634(x92593,x92592,x92591)),f635(x92593,x92592,x92591))),x92593)) % 153.71/153.54 [9292]~P134(f327(f327(f329(f840(f835(x92921),f835(x92921))),f327(f327(f236(f835(x92921),f835(x92921)),x92922),x92922)),f133(x92921,x92923)))+P134(f327(f327(f329(f840(x92921,x92921)),f327(f327(f236(x92921,x92921),f738(x92922,x92923,x92921)),f738(x92922,x92923,x92921))),x92923)) % 153.71/153.54 [9337]P134(f327(f327(f227(f841(x93371,a831)),x93372),x93373))+~P134(f327(f327(f227(f841(x93371,a831)),f327(f327(f9(x93371,f841(x93371,a831),a831),f329(x93371)),x93372)),f327(f327(f9(x93371,f841(x93371,a831),a831),f329(x93371)),x93373))) % 153.71/153.54 [9424]E(f327(f327(f3(a834),f327(f327(f8(a834,a834),x94241),f327(f252(a834),x94242))),f327(f327(f8(a834,a834),x94243),f327(f252(a834),x94242))),f327(f327(f8(a834,a834),f327(f327(f20(a834,a834,a834),f327(f327(f10(a834,f841(a834,a834),a834),f3(a834)),x94241)),x94243)),f327(f252(a834),x94242)))+~P134(f327(f327(f227(a834),f327(x94243,f343(x94242,x94241,x94243))),f327(x94241,f343(x94242,x94241,x94243)))) % 153.71/153.54 [9707]E(f327(f251(f840(x97071,x97072)),f327(f246(x97071,x97072,a831),f327(f327(f9(x97071,f841(x97072,f838(x97072)),f841(x97072,a831)),f327(f327(f10(f841(f838(x97072),a831),f841(f841(x97072,f838(x97072)),f841(x97072,a831)),x97071),f10(f838(x97072),a831,x97072)),f327(f327(f10(f838(x97072),f841(f838(x97072),a831),x97071),a324),f162(x97071,x97072,x97073)))),f222(x97072)))),f327(f154(f840(x97071,x97072)),x97073))+~P134(f327(f124(x97071),f327(f327(f138(f840(x97071,x97072),x97071),f235(x97071,x97072)),x97073))) % 153.71/153.54 [5463]~P67(x54631)+E(f327(f327(f84(x54631),f327(f327(f3(x54631),x54632),x54633)),x54633),x54632) % 153.71/153.54 [5464]~P67(x54641)+E(f327(f327(f3(x54641),f327(f327(f84(x54641),x54642),x54643)),x54643),x54642) % 153.71/153.54 [5705]~P67(x57051)+E(f327(f327(f84(x57051),x57052),f327(f327(f84(x57051),f327(f83(x57051),x57052)),x57053)),x57053) % 153.71/153.54 [5790]~P72(x57901)+E(f327(f327(f85(x57901),f327(f327(f237(x57901),x57902),x57903)),x57902),f327(f327(f237(x57901),x57902),f327(a111,x57903))) % 153.71/153.54 [5791]~P82(x57911)+E(f327(f327(f85(x57911),f327(f327(f237(x57911),x57912),x57913)),x57912),f327(f327(f237(x57911),x57912),f327(a111,x57913))) % 153.71/153.54 [6011]~P107(x60111)+E(f327(f79(x60111),f327(f327(f237(x60111),f327(f83(x60111),x60112)),x60113)),f327(f79(x60111),f327(f327(f237(x60111),x60112),x60113))) % 153.71/153.54 [6064]~P72(x60641)+E(f327(f327(f85(x60641),f327(f327(f237(x60641),x60642),x60643)),x60642),f327(f327(f85(x60641),x60642),f327(f327(f237(x60641),x60642),x60643))) % 153.71/153.54 [6126]E(f327(f327(f3(a98),f327(f327(f84(a98),x61261),x61262)),x61263),f264(x61261,x61262,x61263))+~P134(f327(f327(f228(a98),x61262),x61263)) % 153.71/153.54 [6148]~E(f327(f327(f125(x61481),x61483),x61482),f112(x61481))+P134(f327(f327(f227(a834),f327(f177(f835(x61481)),x61482)),x61483)) % 153.71/153.54 [6291]E(f327(f327(f85(a834),f327(f103(a834),x62911)),f327(f327(f85(a834),f327(f103(a834),x62912)),x62913)),f2(a834))+~P134(f327(f327(f228(a1),x62911),a87)) % 153.71/153.54 [6306]~P58(x63061)+E(f327(f327(f237(x63061),f327(f327(f278(x63061),f82(x63061)),x63062)),x63063),f327(f327(f278(x63061),f82(x63061)),f327(f327(f237(x63061),x63062),x63063))) % 153.71/153.54 [6389]E(f327(f327(f3(a834),f327(f327(f84(a834),x63891),x63892)),x63893),f327(f327(f3(a834),x63891),f327(f327(f3(a834),x63893),x63892)))+~P134(f327(f327(f227(a834),x63892),x63893)) % 153.71/153.54 [6390]E(f327(f327(f3(a834),f327(f327(f84(a834),x63901),x63902)),x63903),f327(f327(f84(a834),x63901),f327(f327(f3(a834),x63902),x63903)))+~P134(f327(f327(f227(a834),x63903),x63902)) % 153.71/153.54 [6429]~P97(x64291)+P134(f327(f327(f227(x64291),f327(f327(f231(x64291),x64292),x64293)),x64293)) % 153.71/153.54 [6430]~P97(x64301)+P134(f327(f327(f227(x64301),f327(f327(f231(x64301),x64302),x64303)),x64302)) % 153.71/153.54 [6431]~P89(x64311)+P134(f327(f327(f227(x64311),f327(f327(f101(x64311),x64312),x64313)),x64313)) % 153.71/153.54 [6432]~P95(x64321)+P134(f327(f327(f227(x64321),f327(f327(f101(x64321),x64322),x64323)),x64323)) % 153.71/153.54 [6433]~P89(x64331)+P134(f327(f327(f227(x64331),f327(f327(f101(x64331),x64332),x64333)),x64332)) % 153.71/153.54 [6434]~P95(x64341)+P134(f327(f327(f227(x64341),f327(f327(f101(x64341),x64342),x64343)),x64342)) % 153.71/153.54 [6447]E(f327(f327(f44(a1),f327(f327(f44(a1),x64471),x64472)),x64473),f327(f327(f44(a1),x64471),f327(f327(f85(a1),x64472),x64473)))+~P134(f327(f327(f228(a1),f2(a1)),x64473)) % 153.71/153.54 [6500]~P82(x65001)+E(f327(f327(f84(x65001),f327(f327(f85(x65001),x65002),x65003)),x65003),f327(f327(f85(x65001),f327(f327(f84(x65001),x65002),f82(x65001))),x65003)) % 153.71/153.54 [6501]~P85(x65011)+E(f327(f327(f85(x65011),f327(f83(x65011),f327(f103(x65011),x65012))),x65013),f327(f327(f85(x65011),f327(f103(x65011),f327(f83(a1),x65012))),x65013)) % 153.71/153.54 [6573]~P64(x65731)+E(f327(f148(x65731),f327(f327(f138(x65732,x65731),f327(f18(x65731,x65732),f2(x65731))),x65733)),f2(x65731)) % 153.71/153.54 [6592]E(f327(f327(f84(a834),f327(f103(a834),x65921)),f327(f327(f84(a834),f327(f103(a834),x65922)),x65923)),f327(f327(f84(a834),f327(f103(a834),x65922)),x65923))+~P134(f327(a182,f327(f103(a1),x65921))) % 153.71/153.54 [6608]~P9(x66081)+E(f46(x66081,f327(f327(f297(x66081),x66082),f327(f327(f297(x66081),x66083),f176(f841(x66081,a831))))),f327(f327(f101(x66081),x66082),x66083)) % 153.71/153.54 [6609]~P9(x66091)+E(f45(x66091,f327(f327(f297(x66091),x66092),f327(f327(f297(x66091),x66093),f176(f841(x66091,a831))))),f327(f327(f100(x66091),x66092),x66093)) % 153.71/153.54 [6633]E(f327(f327(f155(x66331),x66332),x66333),x66333)+~P134(f327(f327(f227(a834),f327(f177(f835(x66331)),x66333)),x66332)) % 153.71/153.54 [6645]E(f327(f327(f125(x66451),x66452),x66453),f112(x66451))+~P134(f327(f327(f227(a834),f327(f177(f835(x66451)),x66453)),x66452)) % 153.71/153.54 [6657]E(f327(f327(f3(a834),f327(f327(f84(a834),x66571),x66572)),x66573),f327(f327(f84(a834),f327(f327(f3(a834),x66571),x66573)),x66572))+~P134(f327(f327(f227(a834),x66573),x66571)) % 153.71/153.54 [6671]~P134(f327(f327(f228(a834),x66711),x66713))+P134(f327(f327(f228(a834),f327(f327(f3(a834),x66711),x66712)),x66713)) % 153.71/153.54 [6698]~P97(x66981)+E(f152(x66981,x66982,f327(f327(f134(x66981,x66981,f7(x66981)),x66982),x66983)),x66983) % 153.71/153.54 [6794]E(f327(f327(f3(a834),f327(f327(f84(a834),x67941),x67942)),f327(a111,x67943)),f327(f327(f3(a834),x67941),f327(a111,f327(f327(f3(a834),x67943),x67942))))+~P134(f327(f327(f227(a834),x67942),x67943)) % 153.71/153.54 [6795]~P107(x67951)+P134(f327(f327(f227(x67951),f2(x67951)),f327(f327(f237(x67951),f327(f79(x67951),x67952)),x67953))) % 153.71/153.54 [6891]~P134(f327(f66(x68911),x68912))+P134(f327(f66(x68911),f327(f327(f3(f841(x68911,a831)),x68912),x68913))) % 153.71/153.54 [6892]~P134(f327(f66(x68921),x68923))+P134(f327(f66(x68921),f327(f327(f101(f841(x68921,a831)),x68922),x68923))) % 153.71/153.54 [6893]~P134(f327(f66(x68931),x68932))+P134(f327(f66(x68931),f327(f327(f101(f841(x68931,a831)),x68932),x68933))) % 153.71/153.54 [7034]~P33(x70341,x70343)+P33(x70341,f327(f327(f101(f841(f840(x70341,x70341),a831)),x70342),x70343)) % 153.71/153.54 [7035]~P33(x70351,x70352)+P33(x70351,f327(f327(f101(f841(f840(x70351,x70351),a831)),x70352),x70353)) % 153.71/153.54 [7156]~P89(x71561)+E(f15(x71561,f327(f154(x71561),f327(f327(f136(x71561),x71562),x71563))),f327(f128(x71561,x71561,f100(x71561),x71562),x71563)) % 153.71/153.54 [7157]~P97(x71571)+E(f16(x71571,f327(f154(x71571),f327(f327(f136(x71571),x71572),x71573))),f327(f128(x71571,x71571,f175(x71571),x71572),x71573)) % 153.71/153.54 [7158]~P97(x71581)+E(f17(x71581,f327(f154(x71581),f327(f327(f136(x71581),x71582),x71583))),f327(f128(x71581,x71581,f231(x71581),x71582),x71583)) % 153.71/153.54 [7159]~P89(x71591)+E(f12(x71591,f327(f154(x71591),f327(f327(f136(x71591),x71592),x71593))),f327(f128(x71591,x71591,f101(x71591),x71592),x71593)) % 153.71/153.54 [7160]~P134(f327(f327(f274(a1),x71601),x71602))+P134(f327(f327(f274(a1),x71601),f327(f327(f84(a1),x71602),f327(f327(f85(a1),x71601),x71603)))) % 153.71/153.54 [7231]~P134(f327(f66(x72311),x72312))+P134(f327(f327(f227(a834),f327(f43(x72311),x72312)),f327(f43(x72311),f327(f327(f297(x72311),x72313),x72312)))) % 153.71/153.54 [7238]E(f327(f327(f100(f841(a834,a831)),f327(f289(a834,x72381),x72382)),f327(f289(a834,x72382),f327(f327(f84(a834),x72382),x72383))),f327(f289(a834,x72381),f327(f327(f84(a834),x72382),x72383)))+~P134(f327(f327(f227(a834),x72381),x72382)) % 153.71/153.54 [7246]P134(f327(f327(f228(a834),x72461),x72462))+~P134(f327(f327(f228(a834),f327(f327(f84(a834),x72461),x72463)),x72462)) % 153.71/153.54 [7249]P134(f327(f327(f227(a834),x72491),x72492))+~P134(f327(f327(f227(a834),f327(f327(f84(a834),x72493),x72491)),x72492)) % 153.71/153.54 [7250]P134(f327(f327(f227(a834),x72501),x72502))+~P134(f327(f327(f227(a834),f327(f327(f84(a834),x72501),x72503)),x72502)) % 153.71/153.54 [7292]~P97(x72921)+E(f13(x72921,f175(x72921),f327(f154(x72921),f327(f327(f136(x72921),x72922),x72923))),f327(f128(x72921,x72921,f175(x72921),x72922),x72923)) % 153.71/153.54 [7293]~P97(x72931)+E(f14(x72931,f231(x72931),f327(f154(x72931),f327(f327(f136(x72931),x72932),x72933))),f327(f128(x72931,x72931,f231(x72931),x72932),x72933)) % 153.71/153.54 [7297]~E(x72972,f176(f841(f840(x72971,x72971),a831)))+P134(f327(f327(f227(f841(f840(x72971,x72971),a831)),x72972),x72973)) % 153.71/153.54 [7402]E(f327(f327(f100(f841(x74021,a831)),x74022),f327(f327(f3(f841(x74021,a831)),x74023),x74022)),x74023)+~P134(f327(f327(f227(f841(x74021,a831)),x74022),x74023)) % 153.71/153.54 [7405]~P134(f327(f327(f228(a834),x74051),f327(f327(f3(a834),x74053),x74052)))+P134(f327(f327(f228(a834),f327(f327(f84(a834),x74051),x74052)),x74053)) % 153.71/153.54 [7406]~P134(f327(f327(f227(a834),x74061),f327(f327(f84(a834),x74063),x74062)))+P134(f327(f327(f227(a834),f327(f327(f3(a834),x74061),x74062)),x74063)) % 153.71/153.54 [7467]E(x74671,f112(x74672))+E(f327(f127(x74672),f327(f327(f327(f169(f835(x74672),f835(x74672)),x74673),f150(x74672)),x74671)),f327(f327(f146(x74672),x74671),f53(a834,x74673,f327(f177(f835(x74672)),x74671)))) % 153.71/153.54 [7476]E(f327(f327(f297(x74761),x74762),f327(f327(f3(f841(x74761,a831)),x74763),f327(f327(f297(x74761),x74762),f176(f841(x74761,a831))))),x74763)+~P134(f327(f327(f329(x74761),x74762),x74763)) % 153.71/153.54 [7638]P134(f327(f327(f228(a834),x76381),f327(f327(f3(a834),x76382),x76383)))+~P134(f327(f327(f228(a834),f327(f327(f84(a834),x76381),x76383)),x76382)) % 153.71/153.54 [7639]P134(f327(f327(f227(a834),x76391),f327(f327(f84(a834),x76392),x76393)))+~P134(f327(f327(f227(a834),f327(f327(f3(a834),x76391),x76393)),x76392)) % 153.71/153.54 [7661]P134(f327(f66(x76611),x76612))+~P134(f327(f66(x76611),f327(f327(f100(f841(x76611,a831)),x76613),x76612))) % 153.71/153.54 [7662]P134(f327(f66(x76621),x76622))+~P134(f327(f66(x76621),f327(f327(f100(f841(x76621,a831)),x76622),x76623))) % 153.71/153.54 [7740]~P42(x77401,x77403)+P134(f327(f327(f329(f840(x77401,x77401)),f327(f327(f236(x77401,x77401),x77402),x77402)),x77403)) % 153.71/153.54 [7791]P134(f327(f327(f274(a1),x77911),x77912))+~P134(f327(f327(f274(a1),x77911),f327(f327(f84(a1),x77912),f327(f327(f85(a1),x77911),x77913)))) % 153.71/153.54 [7871]E(f327(f327(f146(a834),f126(a834,f327(f289(a834,x78711),x78712))),x78713),f327(f327(f84(a834),x78711),x78713))+~P134(f327(f327(f228(a834),f327(f327(f84(a834),x78711),x78713)),x78712)) % 153.71/153.54 [7937]E(f327(f327(f155(a834),x79371),f126(a834,f327(f289(a834,x79372),x79373))),f126(a834,f327(f289(a834,x79372),f327(f327(f84(a834),x79372),x79371))))+~P134(f327(f327(f227(a834),f327(f327(f84(a834),x79372),x79371)),x79373)) % 153.71/153.54 [7987]~P85(x79871)+E(f327(f327(f237(x79871),x79872),f327(f103(a834),f327(f327(f84(a1),x79873),x79873))),f327(f327(f90(x79871,x79871),f327(f327(f237(x79871),x79872),f327(f103(a834),x79873))),f327(f327(f20(x79871,x79871,x79871),f85(x79871)),f7(x79871)))) % 153.71/153.54 [8243]E(f327(f327(f122(x82431),f327(f327(f155(x82431),x82432),x82433)),f327(f327(f136(x82431),f327(f327(f146(x82431),x82433),x82432)),f327(f327(f125(x82431),f327(a111,x82432)),x82433))),x82433)+~P134(f327(f327(f228(a834),x82432),f327(f177(f835(x82431)),x82433))) % 153.71/153.54 [8250]P134(f327(f327(f227(f841(x82501,a831)),f316(x82501,x82502)),f316(x82501,x82503)))+~P134(f327(f327(f227(f841(x82501,f841(x82501,a831))),x82503),x82502)) % 153.71/153.54 [8251]~P52(x82511,x82512,x82513)+P52(x82511,x82512,f327(f327(f3(f841(f840(x82511,x82511),a831)),x82513),f295(x82511,f176(f841(f840(x82511,x82511),a831))))) % 153.71/153.54 [8272]P134(f327(f327(f227(f841(x82721,a831)),f317(x82721,x82722)),f317(x82721,x82723)))+~P134(f327(f327(f227(f841(f840(x82721,x82721),a831)),x82723),x82722)) % 153.71/153.54 [8279]~P116(x82791)+P134(f327(f327(f227(x82791),f2(x82791)),f327(f327(f84(x82791),f327(f327(f85(x82791),x82792),x82792)),f327(f327(f85(x82791),x82793),x82793)))) % 153.71/153.54 [8313]P134(f327(f327(f227(f841(x83131,a831)),f327(f271(x83131),x83132)),f327(f271(x83131),x83133)))+~P134(f327(f327(f227(f841(f840(x83131,x83131),a831)),x83132),x83133)) % 153.71/153.54 [8341]~P46(x83411,x83412)+~P134(f327(f327(f329(f840(x83411,x83411)),f327(f327(f236(x83411,x83411),x83413),x83413)),x83412)) % 153.71/153.54 [8343]~P33(x83431,x83432)+~P134(f327(f327(f329(f840(x83431,x83431)),f327(f327(f236(x83431,x83431),x83433),x83433)),x83432)) % 153.71/153.54 [8398]P134(f327(f327(f227(f841(x83981,a831)),f46(f841(x83981,a831),x83982)),f46(f841(x83981,a831),x83983)))+~P134(f327(f327(f227(f841(f841(x83981,a831),a831)),x83983),x83982)) % 153.71/153.54 [8399]P134(f327(f327(f227(f841(x83991,a831)),f45(f841(x83991,a831),x83992)),f45(f841(x83991,a831),x83993)))+~P134(f327(f327(f227(f841(f841(x83991,a831),a831)),x83992),x83993)) % 153.71/153.54 [8454]~P12(x84541,x84543,x84542)+P134(f327(f327(f227(f841(f840(x84541,x84541),a831)),x84542),f327(f327(f243(x84541,x84541),x84543),f327(f18(f841(x84541,a831),x84541),x84543)))) % 153.71/153.54 [8455]~P45(x84551,x84553,x84552)+P134(f327(f327(f227(f841(f840(x84551,x84551),a831)),x84552),f327(f327(f243(x84551,x84551),x84553),f327(f18(f841(x84551,a831),x84551),x84553)))) % 153.71/153.54 [8493]~P76(x84931)+P134(f327(f327(f227(x84931),f327(f327(f3(x84931),f327(f79(x84931),x84932)),f327(f79(x84931),x84933))),f327(f79(x84931),f327(f327(f3(x84931),x84933),x84932)))) % 153.71/153.54 [8494]~P76(x84941)+P134(f327(f327(f227(x84941),f327(f327(f3(x84941),f327(f79(x84941),x84942)),f327(f79(x84941),x84943))),f327(f79(x84941),f327(f327(f3(x84941),x84942),x84943)))) % 153.71/153.54 [8518]P134(f327(f327(f227(f841(f840(x85181,x85181),a831)),f295(x85181,x85182)),f295(x85181,x85183)))+~P134(f327(f327(f227(f841(f840(x85181,x85181),a831)),x85182),x85183)) % 153.71/153.54 [8665]P52(x86651,x86652,x86653)+~P52(x86651,x86652,f327(f327(f3(f841(f840(x86651,x86651),a831)),x86653),f295(x86651,f176(f841(f840(x86651,x86651),a831))))) % 153.71/153.54 [8684]P134(f327(f327(f227(f841(f840(f835(x86841),f835(x86841)),a831)),f142(x86841,x86842)),f142(x86841,x86843)))+~P134(f327(f327(f227(f841(f840(x86841,x86841),a831)),x86842),x86843)) % 153.71/153.54 [8685]P134(f327(f327(f227(f841(f840(f835(x86851),f835(x86851)),a831)),f141(x86851,x86852)),f141(x86851,x86853)))+~P134(f327(f327(f227(f841(f840(x86851,x86851),a831)),x86852),x86853)) % 153.71/153.54 [8702]~P45(x87021,x87023,x87022)+P134(f327(f327(f227(f841(f840(x87021,x87021),a831)),x87022),f327(f327(f276(x87021,x87021,x87021),f327(f273(x87021,x87021),x87022)),x87022))) % 153.71/153.54 [8743]~P134(f327(f124(x87431),x87432))+E(f327(f123(x87431,f327(f327(f9(x87431,f841(x87431,a831),a831),f329(x87431)),f327(f154(x87431),f156(x87431,x87432,x87433)))),x87432),f156(x87431,x87432,x87433)) % 153.71/153.54 [8787]E(x87871,x87872)+~P134(f327(f327(f329(f840(x87873,x87873)),f327(f327(f236(x87873,x87873),x87871),x87872)),f295(x87873,f176(f841(f840(x87873,x87873),a831))))) % 153.71/153.54 [8865]P134(f327(f327(f329(x88651),x88652),f317(x88651,x88653)))+P134(f327(f327(f329(f840(x88651,x88651)),f327(f327(f236(x88651,x88651),f510(x88653,x88652,x88651)),x88652)),x88653)) % 153.71/153.54 [8866]P134(f327(f327(f329(x88661),x88662),f317(x88661,x88663)))+P134(f327(f327(f329(f840(x88661,x88661)),f327(f327(f236(x88661,x88661),f604(x88663,x88662,x88661)),x88662)),x88663)) % 153.71/153.54 [8867]P134(f327(f327(f329(x88671),x88672),f317(x88671,x88673)))+P134(f327(f327(f329(f840(x88671,x88671)),f327(f327(f236(x88671,x88671),f606(x88673,x88672,x88671)),x88672)),x88673)) % 153.71/153.54 [8971]P134(f327(x89713,x89712))+E(f327(f251(x89711),f327(f327(f20(x89711,a831,a831),f327(f327(f10(a831,f841(a831,a831),x89711),a325),f327(a324,x89712))),x89713)),f176(f841(x89711,a831))) % 153.71/153.54 [8989]~P76(x89891)+P134(f327(f327(f227(x89891),f327(f79(x89891),f327(f327(f3(x89891),f327(f79(x89891),x89892)),f327(f79(x89891),x89893)))),f327(f79(x89891),f327(f327(f3(x89891),x89892),x89893)))) % 153.71/153.54 [9002]~P134(f327(x90023,x90022))+E(f327(f251(x90021),f327(f327(f20(x90021,a831,a831),f327(f327(f10(a831,f841(a831,a831),x90021),a325),f327(a324,x90022))),x90023)),f327(f327(f297(x90021),x90022),f176(f841(x90021,a831)))) % 153.71/153.54 [9008]~P134(f327(f327(f329(f841(x90081,a831)),x90083),f327(f296(x90081),x90082)))+P134(f327(f240(x90081,f327(f327(f9(x90081,f841(x90081,a831),a831),f329(x90081)),x90082)),x90083)) % 153.71/153.54 [9042]P33(x90421,x90422)+P134(f327(f327(f329(f840(x90421,x90421)),f327(f327(f236(x90421,x90421),f327(f567(x90422,x90421),f327(a111,x90423))),f327(f567(x90422,x90421),x90423))),x90422)) % 153.71/153.54 [9170]P134(f327(f327(f329(f841(x91701,a831)),x91702),f327(f296(x91701),x91703)))+~P134(f327(f240(x91701,f327(f327(f9(x91701,f841(x91701,a831),a831),f329(x91701)),x91703)),x91702)) % 153.71/153.54 [9229]P134(f327(f327(f329(x92291),f327(f260(x92291,x92292),x92293)),f327(f154(x92291),f327(f327(f138(f840(a98,x92291),x92291),f245(a98,x92291)),x92292))))+~P134(f327(f327(f228(a98),x92293),f327(f148(a98),f327(f327(f138(f840(a98,x92291),a98),f235(a98,x92291)),x92292)))) % 153.71/153.54 [9275]P134(f327(f327(f227(f841(f840(f835(x92751),f835(x92751)),a831)),f142(x92751,x92752)),f327(f327(f243(f835(x92751),f835(x92751)),f144(x92751,x92753)),f327(f18(f841(f835(x92751),a831),f835(x92751)),f144(x92751,x92753)))))+~P134(f327(f327(f227(f841(f840(x92751,x92751),a831)),x92752),f327(f327(f243(x92751,x92751),x92753),f327(f18(f841(x92751,a831),x92751),x92753)))) % 153.71/153.54 [9295]P134(f327(f327(f329(x92951),f327(f235(x92951,f840(a98,a98)),f327(f258(x92951,x92952),x92953))),f327(f154(x92951),f327(f327(f138(f840(a98,x92951),x92951),f245(a98,x92951)),x92952))))+~P134(f327(f327(f228(a98),f2(a98)),f327(f148(a98),f327(f327(f138(f840(a98,x92951),a98),f235(a98,x92951)),x92952)))) % 153.71/153.54 [9310]~P134(f327(f327(f227(f841(f840(x93101,x93101),a831)),x93102),f327(f327(f243(x93101,x93101),x93103),f327(f18(f841(x93101,a831),x93101),x93103))))+P134(f327(f327(f227(f841(f840(x93101,x93101),a831)),f327(f327(f276(x93101,x93101,x93101),x93102),f295(x93101,x93102))),f327(f327(f243(x93101,x93101),x93103),f327(f18(f841(x93101,a831),x93101),x93103)))) % 153.71/153.54 [9593]~P33(x95931,x95932)+~P134(f327(f327(f329(f840(x95931,x95931)),f327(f327(f236(x95931,x95931),f327(x95933,f327(a111,f569(x95932,x95931,x95933)))),f327(x95933,f569(x95932,x95931,x95933)))),x95932)) % 153.71/153.54 [9594]~P33(x95941,x95942)+~P134(f327(f327(f329(f840(x95941,x95941)),f327(f327(f236(x95941,x95941),f327(x95943,f327(a111,f618(x95943,x95942,x95941)))),f327(x95943,f618(x95943,x95942,x95941)))),x95942)) % 153.71/153.54 [9845]P134(f327(f327(f227(f841(f840(f841(x98451,a831),f841(x98451,a831)),a831)),f327(f327(f276(f841(x98451,a831),f841(x98451,a831),f841(x98451,a831)),f319(x98451,x98452)),f327(f327(f100(f841(f840(f841(x98451,a831),f841(x98451,a831)),a831)),f319(x98451,x98453)),f327(f327(f297(f840(f841(x98451,a831),f841(x98451,a831))),f327(f327(f236(f841(x98451,a831),f841(x98451,a831)),f176(f841(x98451,a831))),f176(f841(x98451,a831)))),f176(f841(f840(f841(x98451,a831),f841(x98451,a831)),a831)))))),f319(x98451,x98452)))+~P134(f327(f327(f227(f841(f840(x98451,x98451),a831)),f327(f327(f276(x98451,x98451,x98451),x98452),x98453)),x98452)) % 153.71/153.54 [9846]P134(f327(f327(f227(f841(f840(f841(x98461,a831),f841(x98461,a831)),a831)),f327(f327(f276(f841(x98461,a831),f841(x98461,a831),f841(x98461,a831)),f320(x98461,x98462)),f327(f327(f100(f841(f840(f841(x98461,a831),f841(x98461,a831)),a831)),f320(x98461,x98463)),f327(f327(f297(f840(f841(x98461,a831),f841(x98461,a831))),f327(f327(f236(f841(x98461,a831),f841(x98461,a831)),f176(f841(x98461,a831))),f176(f841(x98461,a831)))),f176(f841(f840(f841(x98461,a831),f841(x98461,a831)),a831)))))),f320(x98461,x98462)))+~P134(f327(f327(f227(f841(f840(x98461,x98461),a831)),f327(f327(f276(x98461,x98461,x98461),x98462),x98463)),x98462)) % 153.71/153.54 [7155]~P134(f327(f327(f227(a834),x71552),x71551))+E(f327(f327(f3(a834),f327(a111,f327(f327(f3(a834),x71551),x71552))),x71553),f327(f327(f3(a834),f327(a111,x71551)),f327(f327(f84(a834),x71552),x71553))) % 153.71/153.54 [7195]~P7(x71951)+E(f327(f327(f84(x71951),f53(x71951,x71952,x71953)),f327(f327(f85(x71951),f327(f327(f44(x71951),x71952),x71953)),x71953)),x71952) % 153.71/153.54 [7410]E(f327(f327(f85(a834),f327(f103(a834),x74101)),f327(f327(f85(a834),f327(f103(a834),x74102)),x74103)),f327(f327(f85(a834),f327(f103(a834),f327(f327(f85(a1),x74101),x74102))),x74103))+P134(f327(f327(f228(a1),x74101),a87)) % 153.71/153.54 [7882]~P134(f327(f327(f227(a834),x78823),x78822))+P134(f327(f327(f227(a834),x78821),f327(f327(f3(a834),f327(f327(f84(a834),x78822),x78821)),x78823))) % 153.71/153.54 [8070]~P134(f327(f327(f227(a834),x80701),x80702))+E(f327(f327(f122(a834),f126(a834,f327(f289(a834,x80701),x80702))),f126(a834,f327(f289(a834,x80702),f327(f327(f84(a834),x80702),x80703)))),f126(a834,f327(f289(a834,x80701),f327(f327(f84(a834),x80702),x80703)))) % 153.71/153.54 [8320]~P134(f327(f66(x83201),x83202))+E(f327(a111,f327(f43(x83201),f327(f327(f3(f841(x83201,a831)),x83202),f327(f327(f297(x83201),x83203),f176(f841(x83201,a831)))))),f327(f43(x83201),f327(f327(f297(x83201),x83203),x83202))) % 153.71/153.54 [8359]~P134(f327(f66(x83591),x83592))+E(f327(f327(f84(a834),f82(a834)),f327(f43(x83591),f327(f327(f3(f841(x83591,a831)),x83592),f327(f327(f297(x83591),x83593),f176(f841(x83591,a831)))))),f327(f43(x83591),f327(f327(f297(x83591),x83593),x83592))) % 153.71/153.54 [8527]E(f327(f327(f3(a834),f327(f43(x85271),x85272)),f327(f43(x85271),f327(f327(f101(f841(x85271,a831)),x85272),x85273))),f327(f43(x85271),f327(f327(f3(f841(x85271,a831)),x85272),x85273)))+~P134(f327(f66(x85271),f327(f327(f101(f841(x85271,a831)),x85272),x85273))) % 153.71/153.54 [8740]~P10(f327(x87402,f407(x87402,x87403,x87401)))+E(f327(f99(a1),f327(f327(f8(x87401,a834),f327(f327(f10(a1,a834,x87401),a104),x87402)),x87403)),f327(f327(f8(x87401,a1),x87402),x87403)) % 153.71/153.54 [8741]~P10(f327(x87412,f451(x87412,x87413,x87411)))+E(f327(f99(a1),f327(f327(f11(x87411,a834),f327(f327(f10(a1,a834,x87411),a104),x87412)),x87413)),f327(f327(f11(x87411,a1),x87412),x87413)) % 153.71/153.54 [8771]~P134(f327(f66(x87711),x87713))+P134(f327(f327(f227(a834),f327(f327(f3(a834),f327(f43(x87711),x87712)),f327(f43(x87711),x87713))),f327(f43(x87711),f327(f327(f3(f841(x87711,a831)),x87712),x87713)))) % 153.71/153.54 [8795]P134(f327(f327(f329(x87951),f407(x87952,x87953,x87951)),x87953))+E(f327(f99(a1),f327(f327(f8(x87951,a834),f327(f327(f10(a1,a834,x87951),a104),x87952)),x87953)),f327(f327(f8(x87951,a1),x87952),x87953)) % 153.71/153.54 [8796]P134(f327(f327(f329(x87961),f451(x87962,x87963,x87961)),x87963))+E(f327(f99(a1),f327(f327(f11(x87961,a834),f327(f327(f10(a1,a834,x87961),a104),x87962)),x87963)),f327(f327(f11(x87961,a1),x87962),x87963)) % 153.71/153.54 [8859]E(f89(x88591,f327(f327(f9(x88591,f841(x88591,a831),a831),f329(x88591)),f327(f327(f3(f841(x88591,a831)),x88592),f327(f327(f297(x88591),x88593),f176(f841(x88591,a831)))))),f239(x88591,x88593,x88592))+P134(f327(f327(f227(f841(x88591,a831)),x88592),f327(f327(f297(x88591),x88593),f176(f841(x88591,a831))))) % 153.71/153.54 [9171]E(f327(f327(f138(f835(x91711),x91711),f327(f327(f9(f835(x91711),a834,x91711),f146(x91711)),x91712)),f327(f123(f835(x91711),f327(f327(f10(a834,a831,f835(x91711)),f327(f228(a834),x91712)),f177(f835(x91711)))),x91713)),f327(f327(f146(f835(x91711)),f160(x91711,x91713)),x91712))+~P134(f327(f327(f228(a834),x91712),f327(f177(f835(f835(x91711))),f160(x91711,x91713)))) % 153.71/153.54 [9379]E(f327(f327(f125(x93791),f327(f177(f835(x93791)),f158(x93791,x93792,x93793))),x93793),f112(x93791))+~P134(f327(x93792,f327(f127(x93791),f327(f327(f125(x93791),f327(f177(f835(x93791)),f158(x93791,x93792,x93793))),x93793)))) % 153.71/153.54 [9469]~P134(f327(f327(f329(f840(x94691,x94691)),x94692),f295(x94691,x94693)))+P134(f327(f327(f329(f840(x94691,x94691)),x94692),f327(f327(f47(a834,f841(f840(x94691,x94691),a831)),f234(f841(a834,a831))),f327(f327(f9(a834,f841(f840(x94691,x94691),a831),f841(f840(x94691,x94691),a831)),f169(f840(x94691,x94691),a831)),x94693)))) % 153.71/153.54 [9523]~P134(f327(f327(f227(f841(x95231,a831)),f327(f327(f47(a834,f841(x95231,a831)),f327(f289(a834,f2(a834)),f384(x95233,x95232,x95231))),x95232)),x95233))+P134(f327(f327(f227(f841(x95231,a831)),f327(f327(f47(a834,f841(x95231,a831)),f234(f841(a834,a831))),x95232)),x95233)) % 153.71/153.54 [9570]~P134(f327(f327(f228(a1),f2(a1)),x95703))+P134(f327(f327(f228(a1),x95701),f327(f327(f84(a1),x95702),f327(f327(f85(a1),f327(f327(f84(a1),f327(f79(a1),f327(f327(f3(a1),x95702),x95701))),f82(a1))),x95703)))) % 153.71/153.54 [9580]~P33(x95801,f327(f327(f100(f841(f840(x95801,x95801),a831)),x95802),x95803))+P33(x95801,f327(f327(f100(f841(f840(x95801,x95801),a831)),f327(f327(f100(f841(f840(x95801,x95801),a831)),f327(f327(f276(x95801,x95801,x95801),x95802),x95802)),f327(f327(f276(x95801,x95801,x95801),x95803),x95802))),x95803)) % 153.71/153.54 [9647]P33(x96471,f327(f327(f100(f841(f840(x96471,x96471),a831)),x96472),x96473))+~P33(x96471,f327(f327(f100(f841(f840(x96471,x96471),a831)),f327(f327(f100(f841(f840(x96471,x96471),a831)),f327(f327(f276(x96471,x96471,x96471),x96472),x96472)),f327(f327(f276(x96471,x96471,x96471),x96473),x96472))),x96473)) % 153.71/153.54 [9251]~P130(x92511)+E(f327(f102(x92511),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x92512),x92513)),f176(f841(f840(a834,a834),a831)))))),f327(f327(f3(x92511),f327(f99(x92511),x92512)),f327(f99(x92511),x92513))) % 153.71/153.54 [9328]P134(f327(x93283,x93282))+E(f327(f251(x93281),f327(f327(f20(x93281,a831,a831),f327(f327(f10(a831,f841(a831,a831),x93281),a325),f327(f327(f9(x93281,x93281,a831),a324),x93282))),x93283)),f176(f841(x93281,a831))) % 153.71/153.54 [9330]~P134(f327(x93303,x93302))+E(f327(f251(x93301),f327(f327(f20(x93301,a831,a831),f327(f327(f10(a831,f841(a831,a831),x93301),a325),f327(f327(f9(x93301,x93301,a831),a324),x93302))),x93303)),f327(f327(f297(x93301),x93302),f176(f841(x93301,a831)))) % 153.71/153.54 [9639]~P134(f327(f66(x96391),x96393))+E(f327(f327(f69(x96391,f841(x96391,a831),f327(f327(f10(f841(x96391,a831),f841(f841(x96391,a831),f841(x96391,a831)),x96391),f327(f9(f841(x96391,a831),f841(x96391,a831),f841(x96391,a831)),f3(f841(x96391,a831)))),f327(f327(f9(x96391,f841(x96391,a831),f841(x96391,a831)),f297(x96391)),f176(f841(x96391,a831))))),x96392),x96393),f327(f327(f3(f841(x96391,a831)),x96392),x96393)) % 153.71/153.54 [9671]~P134(f327(f327(f228(a1),f2(a1)),x96713))+P134(f327(f327(f228(a1),f327(f327(f3(a1),x96711),f327(f327(f85(a1),f327(f327(f84(a1),f327(f79(a1),f327(f327(f3(a1),x96711),x96712))),f82(a1))),x96713))),x96712)) % 153.71/153.54 [9913]~P134(f327(f327(f329(x99131),x99133),f317(x99131,x99132)))+P134(f327(f316(x99131,f327(f327(f9(x99131,f841(f840(x99131,x99131),a831),f841(x99131,a831)),f327(f327(f10(f841(x99131,f841(f841(f840(x99131,x99131),a831),a831)),f841(f841(f840(x99131,x99131),a831),f841(x99131,a831)),x99131),f9(x99131,f841(f840(x99131,x99131),a831),a831)),f327(f327(f10(f841(x99131,f840(x99131,x99131)),f841(x99131,f841(f841(f840(x99131,x99131),a831),a831)),x99131),f327(f10(f840(x99131,x99131),f841(f841(f840(x99131,x99131),a831),a831),x99131),f329(f840(x99131,x99131)))),f236(x99131,x99131)))),x99132)),x99133)) % 153.71/153.54 [9925]P134(f327(f327(f329(x99251),x99252),f317(x99251,x99253)))+~P134(f327(f316(x99251,f327(f327(f9(x99251,f841(f840(x99251,x99251),a831),f841(x99251,a831)),f327(f327(f10(f841(x99251,f841(f841(f840(x99251,x99251),a831),a831)),f841(f841(f840(x99251,x99251),a831),f841(x99251,a831)),x99251),f9(x99251,f841(f840(x99251,x99251),a831),a831)),f327(f327(f10(f841(x99251,f840(x99251,x99251)),f841(x99251,f841(f841(f840(x99251,x99251),a831),a831)),x99251),f327(f10(f840(x99251,x99251),f841(f841(f840(x99251,x99251),a831),a831),x99251),f329(f840(x99251,x99251)))),f236(x99251,x99251)))),x99253)),x99252)) % 153.71/153.54 [9521]~P134(f327(f66(x95211),f327(f251(x95211),x95213)))+P134(f327(f66(x95211),f327(f251(x95211),f327(f327(f20(x95211,a831,a831),f327(f327(f10(a831,f841(a831,a831),x95211),a325),x95212)),x95213)))) % 153.71/153.54 [9522]~P134(f327(f66(x95221),f327(f251(x95221),x95222)))+P134(f327(f66(x95221),f327(f251(x95221),f327(f327(f20(x95221,a831,a831),f327(f327(f10(a831,f841(a831,a831),x95221),a325),x95222)),x95223)))) % 153.71/153.54 [9606]P134(f327(f66(x96061),f327(f251(x96061),x96062)))+~P134(f327(f66(x96061),f327(f251(x96061),f327(f327(f20(x96061,a831,a831),f327(f327(f10(a831,f841(a831,a831),x96061),a326),x96063)),x96062)))) % 153.71/153.54 [9607]P134(f327(f66(x96071),f327(f251(x96071),x96072)))+~P134(f327(f66(x96071),f327(f251(x96071),f327(f327(f20(x96071,a831,a831),f327(f327(f10(a831,f841(a831,a831),x96071),a326),x96072)),x96073)))) % 153.71/153.54 [9898]~P134(f327(f66(x98981),x98982))+P134(f327(f66(f835(x98981)),f327(f251(f835(x98981)),f327(f327(f20(f835(x98981),a831,a831),f327(f327(f10(a831,f841(a831,a831),f835(x98981)),a325),f327(f327(f9(f835(x98981),f841(x98981,a831),a831),f327(f327(f10(f841(x98981,a831),f841(f841(x98981,a831),a831),f835(x98981)),f227(f841(x98981,a831))),f154(x98981))),x98982))),f327(f327(f9(f835(x98981),a834,a831),f327(f327(f10(a834,f841(a834,a831),f835(x98981)),a324),f177(f835(x98981)))),x98983))))) % 153.71/153.54 [9899]~P134(f327(f66(x98991),x98992))+P134(f327(f66(f835(x98991)),f327(f251(f835(x98991)),f327(f327(f20(f835(x98991),a831,a831),f327(f327(f10(a831,f841(a831,a831),f835(x98991)),a325),f327(f327(f9(f835(x98991),f841(x98991,a831),a831),f327(f327(f10(f841(x98991,a831),f841(f841(x98991,a831),a831),f835(x98991)),f227(f841(x98991,a831))),f154(x98991))),x98992))),f327(f327(f9(f835(x98991),a834,a831),f327(f327(f10(a834,f841(a834,a831),f835(x98991)),f227(a834)),f177(f835(x98991)))),x98993))))) % 153.71/153.54 [9620]~P82(x96201)+E(f327(f327(f237(x96201),x96202),f327(f327(f85(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x96203)),f327(f327(f85(x96201),f327(f327(f237(x96201),x96202),x96203)),f327(f327(f237(x96201),x96202),x96203))) % 153.71/153.54 [9650]~P72(x96501)+E(f327(f327(f237(x96501),f327(f327(f237(x96501),x96502),x96503)),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(f327(f237(x96501),x96502),f327(f327(f85(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x96503))) % 153.71/153.54 [9711]~P130(x97111)+E(f327(f327(f237(x97111),f327(f83(x97111),x97112)),f327(f327(f85(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x97113)),f327(f327(f237(x97111),x97112),f327(f327(f85(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x97113))) % 153.71/153.54 [9850]~P107(x98501)+P134(f327(f327(f227(x98501),f2(x98501)),f327(f327(f84(x98501),f327(f327(f237(x98501),x98502),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x98501),x98503),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))))) % 153.71/153.54 [9721]~P82(x97211)+E(f327(f327(f237(x97211),x97212),f327(a111,f327(f327(f85(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x97213))),f327(f327(f85(x97211),x97212),f327(f327(f85(x97211),f327(f327(f237(x97211),x97212),x97213)),f327(f327(f237(x97211),x97212),x97213)))) % 153.71/153.54 [9771]~P72(x97711)+E(f327(f327(f85(x97711),x97712),f327(f327(f237(x97711),f327(f327(f237(x97711),x97712),x97713)),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x97711),x97712),f327(a111,f327(f327(f85(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x97713)))) % 153.71/153.54 [9813]~P107(x98131)+P134(f327(f327(f227(x98131),f2(x98131)),f327(f327(f237(x98131),x98132),f327(f327(f85(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x98133)))) % 153.71/153.54 [9879]~P85(x98791)+E(f327(f327(f84(x98791),f327(f327(f84(x98791),f327(f327(f237(x98791),x98792),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x98791),x98793),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))),f327(f327(f85(x98791),f327(f327(f85(x98791),f327(f103(x98791),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x98792)),x98793)),f327(f327(f237(x98791),f327(f327(f84(x98791),x98792),x98793)),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))) % 153.71/153.54 [9880]~P85(x98801)+E(f327(f327(f3(x98801),f327(f327(f84(x98801),f327(f327(f237(x98801),x98802),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x98801),x98803),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))),f327(f327(f85(x98801),f327(f327(f85(x98801),f327(f103(x98801),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x98802)),x98803)),f327(f327(f237(x98801),f327(f327(f3(x98801),x98802),x98803)),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))) % 153.71/153.54 [6193]P36(x61931,x61932,x61933)+~P38(x61931,x61932,x61934,x61933) % 153.71/153.54 [4520]E(x45201,x45202)+~E(f36(x45203,x45201),f36(x45204,x45202)) % 153.71/153.54 [4521]E(x45211,x45212)+~E(f36(x45211,x45213),f36(x45212,x45214)) % 153.71/153.54 [4522]E(x45221,x45222)+~E(f35(x45223,x45221),f35(x45224,x45222)) % 153.71/153.54 [4523]E(x45231,x45232)+~E(f35(x45231,x45233),f35(x45232,x45234)) % 153.71/153.54 [4524]E(x45241,x45242)+~E(f28(x45243,x45241),f28(x45244,x45242)) % 153.71/153.54 [4525]E(x45251,x45252)+~E(f28(x45251,x45253),f28(x45252,x45254)) % 153.71/153.54 [5670]P38(f35(x56701,x56703),x56702,x56704,x56702)+P134(f327(x56701,x56702)) % 153.71/153.54 [6832]~P38(x68321,x68322,x68323,x68324)+P38(x68321,x68322,f327(a111,x68323),x68324) % 153.71/153.54 [6869]~P36(f36(x68691,x68694),x68692,x68693)+P36(x68691,x68692,f792(x68693,x68692,x68694,x68691)) % 153.71/153.54 [6870]~P36(f36(x68701,x68704),x68702,x68703)+P36(x68701,x68702,f803(x68703,x68702,x68704,x68701)) % 153.71/153.54 [6871]~P36(f36(x68714,x68711),x68713,x68712)+P36(x68711,f792(x68712,x68713,x68711,x68714),x68712) % 153.71/153.54 [6872]~P36(f36(x68724,x68721),x68723,x68722)+P36(x68721,f803(x68722,x68723,x68721,x68724),x68722) % 153.71/153.54 [7679]P28(x76791,x76792,x76793,x76794)+~E(f503(x76794,x76793,x76792,x76791),f504(x76794,x76793,x76792,x76791)) % 153.71/153.54 [8173]~P28(x81731,f838(x81732),x81734,f165(x81731,x81732,x81734))+P28(x81731,f838(x81732),f166(x81731,x81732,x81733,x81734),f165(x81731,x81732,x81734)) % 153.71/153.54 [8374]~P28(x83741,f838(x83742),f166(x83741,x83742,x83744,x83743),f165(x83741,x83742,x83743))+P28(x83741,f838(x83742),x83743,f165(x83741,x83742,x83743)) % 153.71/153.54 [4897]~P21(x48973,x48971,x48974)+E(f327(f327(x48971,x48972),x48972),x48972) % 153.71/153.54 [4900]E(x49001,x49002)+~E(f327(f299(x49003,x49004),x49001),f327(f299(x49003,x49004),x49002)) % 153.71/153.54 [4902]E(x49021,x49022)+~E(f327(f308(x49023,x49024),x49021),f327(f308(x49023,x49024),x49022)) % 153.71/153.54 [5178]~E(x51784,f176(f841(x51781,a831)))+E(f327(f298(x51781,x51782,x51783),x51784),f176(f841(x51782,a831))) % 153.71/153.54 [5231]~P36(f28(x52313,x52314),x52312,x52311)+E(x52311,f184(x52312,x52313,f327(x52314,x52312))) % 153.71/153.54 [5445]~E(f327(f298(x54452,x54453,x54454),x54451),f176(f841(x54453,a831)))+E(x54451,f176(f841(x54452,a831))) % 153.71/153.54 [5751]~P97(x57512)+E(f327(f327(f134(x57511,x57512,x57513),x57514),f112(x57511)),f327(f327(f136(x57511),x57514),f112(x57511))) % 153.71/153.54 [5788]E(f327(x57881,x57882),f179(x57883))+P134(f327(f327(f329(x57884),x57882),f165(x57884,x57883,x57881))) % 153.71/153.54 [6120]~E(x61201,f176(f841(x61202,a831)))+~P134(f327(f67(x61202,x61203,x61201),x61204)) % 153.71/153.54 [6141]~P55(x61411,x61413,x61414,x61412)+P134(f327(f66(x61411),x61412)) % 153.71/153.54 [6142]~P55(x61421,x61423,x61422,x61424)+P134(f327(f66(x61421),x61422)) % 153.71/153.54 [6149]~P55(x61492,x61493,x61494,x61491)+~E(x61491,f176(f841(x61492,a831))) % 153.71/153.54 [6181]~P96(x61811)+E(f327(f327(f101(f841(x61811,a831)),f327(f289(x61811,x61812),x61813)),f290(x61811,x61813,x61814)),f176(f841(x61811,a831))) % 153.71/153.54 [6214]~P134(f327(f327(x62143,x62144),x62142))+P134(f327(f327(f329(x62141),x62142),f282(x62141,x62143,x62144))) % 153.71/153.54 [6215]~P134(f327(f327(x62153,x62154),x62152))+P134(f327(f327(f329(x62151),x62152),f281(x62151,x62153,x62154))) % 153.71/153.54 [6216]~P134(f327(f327(x62163,x62162),x62164))+P134(f327(f327(f329(x62161),x62162),f285(x62161,x62163,x62164))) % 153.71/153.54 [6217]~P134(f327(f327(x62173,x62172),x62174))+P134(f327(f327(f329(x62171),x62172),f283(x62171,x62173,x62174))) % 153.71/153.54 [6363]~P96(x63631)+E(f327(f327(f101(f841(x63631,a831)),f290(x63631,x63632,x63633)),f292(x63631,x63633,x63634)),f176(f841(x63631,a831))) % 153.71/153.54 [6364]~P96(x63641)+E(f327(f327(f101(f841(x63641,a831)),f290(x63641,x63642,x63643)),f293(x63641,x63643,x63644)),f176(f841(x63641,a831))) % 153.71/153.54 [6365]~P96(x63651)+E(f327(f327(f101(f841(x63651,a831)),f292(x63651,x63652,x63653)),f292(x63651,x63653,x63654)),f176(f841(x63651,a831))) % 153.71/153.54 [6366]~P96(x63661)+E(f327(f327(f101(f841(x63661,a831)),f292(x63661,x63662,x63663)),f293(x63661,x63663,x63664)),f176(f841(x63661,a831))) % 153.71/153.54 [6367]~P96(x63671)+E(f327(f327(f101(f841(x63671,a831)),f293(x63671,x63672,x63673)),f290(x63671,x63673,x63674)),f176(f841(x63671,a831))) % 153.71/153.54 [6406]P134(f327(f327(x64061,x64062),f576(x64062,x64061)))+~P134(f327(f241(x64063,x64064,x64061),x64062)) % 153.71/153.54 [6456]~E(f327(x64561,x64562),f179(x64563))+~P134(f327(f327(f329(x64564),x64562),f165(x64564,x64563,x64561))) % 153.71/153.54 [6538]~P1(x65381)+E(f178(x65381,x65382,f327(a111,x65383),x65384),f178(x65381,x65382,x65383,f327(x65382,x65384))) % 153.71/153.54 [6602]~P134(f327(f327(f329(x66024),x66023),f282(x66024,x66021,x66022)))+P134(f327(f327(x66021,x66022),x66023)) % 153.71/153.54 [6603]~P134(f327(f327(f329(x66034),x66033),f281(x66034,x66031,x66032)))+P134(f327(f327(x66031,x66032),x66033)) % 153.71/153.54 [6604]~P134(f327(f327(f329(x66044),x66042),f285(x66044,x66041,x66043)))+P134(f327(f327(x66041,x66042),x66043)) % 153.71/153.54 [6605]~P134(f327(f327(f329(x66054),x66052),f283(x66054,x66051,x66053)))+P134(f327(f327(x66051,x66052),x66053)) % 153.71/153.54 [6685]E(f327(f43(f842(x66851,x66852)),f309(x66851,x66852,x66853,x66854)),f2(a834))+P134(f327(f66(x66852),x66854)) % 153.71/153.54 [6686]E(f327(f43(f842(x66861,x66862)),f309(x66861,x66862,x66863,x66864)),f2(a834))+P134(f327(f66(x66861),x66863)) % 153.71/153.54 [6898]~P19(x68984,x68981,x68982)+E(f327(f77(x68981,x68981,x68981,f327(x68982,x68983)),f327(x68982,x68983)),f327(x68982,x68983)) % 153.71/153.54 [7111]~P38(f26(x71111),x71112,f327(a111,x71113),x71114)+P38(f327(f226(a832),f327(a30,x71111)),x71112,x71113,x71114) % 153.71/153.54 [7140]E(f267(x71401,x71402,x71403,x71404),f327(f236(f841(a98,f841(a831,f838(f836(x71401)))),f840(a98,a98)),f49(x71401)))+~P134(f327(f327(f227(a98),x71403),f2(a98))) % 153.71/153.54 [7207]P38(f26(x72071),x72072,f327(a111,x72073),x72074)+~P38(f327(f226(a832),f327(a30,x72071)),x72072,x72073,x72074) % 153.71/153.54 [7445]~P38(f26(x74454),x74453,x74452,x74451)+E(f327(a111,f543(x74451,x74452,x74453,x74454)),x74452) % 153.71/153.54 [7807]~E(x78072,x78073)+P134(f327(f327(f329(f840(x78071,x78071)),f327(f327(f236(x78071,x78071),x78072),x78073)),f295(x78071,x78074))) % 153.71/153.54 [7833]~P28(x78331,x78332,x78333,f234(f841(x78331,a831)))+E(f327(f81(x78331,x78332,f234(f841(x78331,a831)),x78333),f327(x78333,x78334)),x78334) % 153.71/153.54 [7922]~P134(f327(f327(f329(f835(x79221)),f327(f327(f136(x79221),x79224),x79222)),f144(x79221,x79223)))+P134(f327(f327(f329(f835(x79221)),x79222),f144(x79221,x79223))) % 153.71/153.54 [7923]~P134(f327(f327(f329(f835(x79231)),f327(f327(f122(x79231),x79234),x79232)),f144(x79231,x79233)))+P134(f327(f327(f329(f835(x79231)),x79232),f144(x79231,x79233))) % 153.71/153.54 [7924]~P134(f327(f327(f329(f835(x79241)),f327(f327(f122(x79241),x79242),x79244)),f144(x79241,x79243)))+P134(f327(f327(f329(f835(x79241)),x79242),f144(x79241,x79243))) % 153.71/153.54 [7957]~P38(f26(x79571),x79572,x79574,x79573)+P38(f327(f226(a832),f327(a30,x79571)),x79572,f543(x79573,x79574,x79572,x79571),x79573) % 153.71/153.54 [8030]P28(x80304,x80303,x80301,x80302)+E(f327(x80301,f503(x80302,x80301,x80303,x80304)),f327(x80301,f504(x80302,x80301,x80303,x80304))) % 153.71/153.54 [8039]E(f166(x80391,x80392,x80393,x80394),f166(x80391,x80392,x80394,x80393))+~E(f327(f327(f101(f841(x80391,a831)),f165(x80391,x80392,x80393)),f165(x80391,x80392,x80394)),f176(f841(x80391,a831))) % 153.71/153.54 [8136]~P28(x81362,x81361,x81364,x81363)+P28(x81361,x81362,f81(x81362,x81361,x81363,x81364),f327(f298(x81362,x81361,x81364),x81363)) % 153.71/153.54 [8270]P33(f840(x82702,x82704),f270(x82702,x82704,x82701,x82703))+P134(f327(x82701,f566(x82702,x82703,x82704,x82701))) % 153.71/153.54 [8381]E(x83811,x83812)+~P134(f327(f327(f329(f840(x83813,x83813)),f327(f327(f236(x83813,x83813),x83811),x83812)),f255(x83813,x83814))) % 153.71/153.54 [8412]~E(f327(x84121,f348(x84123,x84122,x84124,x84121)),f327(f170(x84124,x84122,x84123),f348(x84123,x84122,x84124,x84121)))+E(f327(x84121,f2(a834)),x84122) % 153.71/153.54 [8446]~P134(f327(f66(f842(x84463,x84461)),f309(x84463,x84461,x84464,x84462)))+P134(f327(f66(x84461),x84462)) % 153.71/153.54 [8447]~P134(f327(f66(f842(x84471,x84473)),f309(x84471,x84473,x84472,x84474)))+P134(f327(f66(x84471),x84472)) % 153.71/153.54 [8608]P33(f840(x86081,x86082),f270(x86081,x86082,x86083,x86084))+~P33(x86082,f327(x86084,f566(x86081,x86084,x86082,x86083))) % 153.71/153.54 [9103]E(f327(f327(f143(x91031,x91032),f723(x91033,x91034,x91032,x91031)),f724(x91033,x91034,x91032,x91031)),x91034)+~P134(f327(f327(f329(f840(f835(x91031),f835(x91031))),f327(f327(f236(f835(x91031),f835(x91031)),x91032),x91034)),f141(x91031,x91033))) % 153.71/153.54 [9108]~P134(f327(f327(f329(f840(f835(x91081),f835(x91081))),f327(f327(f236(f835(x91081),f835(x91081)),x91082),x91083)),f131(x91081,x91084)))+P134(f327(f327(f329(f840(f835(x91081),f835(x91081))),f327(f327(f236(f835(x91081),f835(x91081)),x91082),x91083)),f133(x91081,x91084))) % 153.71/153.54 [9205]P134(f327(f66(x92051),x92052))+~P134(f327(f327(f329(f840(f841(x92051,a831),f841(x92051,a831))),f327(f327(f236(f841(x92051,a831),f841(x92051,a831)),x92053),x92052)),f320(x92051,x92054))) % 153.71/153.54 [9206]P134(f327(f66(x92061),x92062))+~P134(f327(f327(f329(f840(f841(x92061,a831),f841(x92061,a831))),f327(f327(f236(f841(x92061,a831),f841(x92061,a831)),x92062),x92063)),f320(x92061,x92064))) % 153.71/153.54 [9209]~E(x92091,f176(f841(x92092,a831)))+~P134(f327(f327(f329(f840(f841(x92092,a831),f841(x92092,a831))),f327(f327(f236(f841(x92092,a831),f841(x92092,a831)),x92093),x92091)),f320(x92092,x92094))) % 153.71/153.54 [9824]P16(x98241,x98242,x98243,x98244)+~P134(f327(f327(f246(x98241,x98241,a831),f327(f327(f9(x98241,f841(x98241,x98242),f841(x98241,a831)),f327(f327(f10(f841(x98242,a831),f841(f841(x98241,x98242),f841(x98241,a831)),x98241),f10(x98242,a831,x98241)),f327(f327(f10(x98242,f841(x98242,a831),x98241),a324),x98244))),x98244)),f581(x98244,x98243,x98242,x98241))) % 153.71/153.54 [4798]~E(x47984,f112(x47981))+E(f327(f327(f138(x47981,x47982),x47983),x47984),f112(x47982)) % 153.71/153.54 [4799]~E(x47994,f179(x47991))+E(f327(f327(f191(x47991,x47992),x47993),x47994),f179(x47992)) % 153.71/153.54 [4800]~E(x48002,f112(x48001))+E(f327(f327(f143(x48001,x48002),x48003),x48004),f112(x48001)) % 153.71/153.54 [5036]E(x50361,f179(x50362))+~E(f327(f327(f191(x50362,x50363),x50364),x50361),f179(x50363)) % 153.71/153.54 [5037]E(x50371,f112(x50372))+~E(f327(f327(f138(x50372,x50373),x50374),x50371),f112(x50373)) % 153.71/153.54 [5038]E(x50381,f112(x50382))+~E(f327(f327(f143(x50382,x50381),x50383),x50384),f112(x50382)) % 153.71/153.54 [5070]E(x50701,x50702)+~E(f327(f327(f122(x50703),x50704),x50701),f327(f327(f122(x50703),x50704),x50702)) % 153.71/153.54 [5071]E(x50711,x50712)+~E(f327(f327(f122(x50713),x50711),x50714),f327(f327(f122(x50713),x50712),x50714)) % 153.71/153.54 [5213]P134(f327(x52133,x52132))+E(f152(x52131,x52132,f327(f123(x52131,x52133),x52134)),f327(f123(x52131,x52133),x52134)) % 153.71/153.54 [5224]E(x52241,x52242)+~E(f126(a834,f327(f289(a834,x52241),x52243)),f327(f327(f136(a834),x52242),x52244)) % 153.71/153.54 [5272]~P29(x52722,x52723)+P29(x52721,f327(f327(f78(x52722,x52721),x52723),x52724)) % 153.71/153.54 [5273]~P33(x52732,x52733)+P33(x52731,f327(f327(f275(x52732,x52731),x52733),x52734)) % 153.71/153.54 [5489]~E(x54891,f112(x54892))+~E(f327(f327(f122(x54892),x54893),f327(f327(f136(x54892),x54894),f112(x54892))),x54891) % 153.71/153.54 [5525]E(f130(x55251,x55252),x55253)+~E(f327(f327(f122(x55251),x55254),f327(f327(f136(x55251),x55253),f112(x55251))),x55252) % 153.71/153.54 [5526]E(f113(x55261,x55262),x55263)+~E(f327(f327(f122(x55261),x55263),f327(f327(f136(x55261),x55264),f112(x55261))),x55262) % 153.71/153.54 [5640]~E(f126(a834,f327(f289(a834,x56401),x56402)),f327(f327(f136(a834),x56403),x56404))+P134(f327(f327(f228(a834),x56401),x56402)) % 153.71/153.54 [5855]E(x58551,f327(f327(f122(x58552),f327(f151(x58552),x58553)),f327(f327(f136(x58552),x58554),f112(x58552))))+~E(f327(f151(x58552),x58551),f327(f327(f136(x58552),x58554),x58553)) % 153.71/153.54 [6039]~P96(x60391)+E(f327(f327(f101(f841(x60391,a831)),f327(f289(x60391,x60392),x60393)),f327(f289(x60391,x60393),x60394)),f176(f841(x60391,a831))) % 153.71/153.54 [6075]~P65(x60751)+E(f327(f148(x60751),f327(f327(f138(a1,x60751),x60752),f159(x60753,x60754))),f327(f327(f8(a1,x60751),x60752),f327(f154(a1),f159(x60753,x60754)))) % 153.71/153.54 [6076]~P65(x60761)+E(f327(f327(f8(a1,x60761),x60762),f327(f154(a1),f159(x60763,x60764))),f327(f148(x60761),f327(f327(f138(a1,x60761),x60762),f159(x60763,x60764)))) % 153.71/153.54 [6227]~E(x62272,f327(f327(f122(x62271),f327(f151(x62271),x62274)),f327(f327(f136(x62271),x62273),f112(x62271))))+E(f327(f151(x62271),x62272),f327(f327(f136(x62271),x62273),x62274)) % 153.71/153.54 [6243]~P23(x62432,x62433,x62434,x62431)+E(f327(x62431,f176(f841(x62432,a831))),f39(x62433)) % 153.71/153.54 [6272]~P96(x62721)+E(f327(f327(f101(f841(x62721,a831)),f293(x62721,x62722,x62723)),f327(f289(x62721,x62723),x62724)),f176(f841(x62721,a831))) % 153.71/153.54 [6488]E(x64881,f176(f841(x64882,a831)))+~E(f309(x64883,x64882,x64884,x64881),f176(f841(f842(x64883,x64882),a831))) % 153.71/153.54 [6489]E(x64891,f176(f841(x64892,a831)))+~E(f309(x64892,x64893,x64891,x64894),f176(f841(f842(x64892,x64893),a831))) % 153.71/153.54 [6567]~P134(f327(f242(x65673,x65674,x65671),x65672))+P134(f327(f327(x65671,f565(x65672,x65671)),x65672)) % 153.71/153.54 [6616]~P134(f327(f66(x66162),x66164))+P134(f327(f66(x66161),f327(f298(x66162,x66161,x66163),x66164))) % 153.71/153.54 [6852]~P28(x68522,x68521,x68523,x68524)+E(f327(f43(x68521),f327(f298(x68522,x68521,x68523),x68524)),f327(f43(x68522),x68524)) % 153.71/153.54 [6876]E(f327(f298(x68761,x68762,x68763),f327(f300(x68761,x68762,x68763),x68764)),x68764)+~E(f327(f298(x68761,x68762,x68763),f234(f841(x68761,a831))),f234(f841(x68762,a831))) % 153.71/153.54 [7305]~P28(x73051,x73052,x73053,f234(f841(x73051,a831)))+E(f327(f300(x73051,x73052,x73053),f327(f298(x73051,x73052,x73053),x73054)),x73054) % 153.71/153.54 [7641]P134(f327(x76411,x76412))+~P134(f327(f327(f329(x76413),x76412),f327(f154(x76413),f158(x76413,x76411,x76414)))) % 153.71/153.54 [7750]~P134(f327(f327(f329(f835(x77501)),f327(f327(f136(x77501),x77502),x77504)),f144(x77501,x77503)))+P134(f327(f327(f329(x77501),x77502),x77503)) % 153.71/153.54 [7878]~P134(f327(f327(f329(x78781),x78782),f327(f154(x78781),f152(x78781,x78784,x78783))))+P134(f327(f327(f329(x78781),x78782),f327(f154(x78781),x78783))) % 153.71/153.54 [7880]~P134(f327(f327(f329(x78801),x78802),f327(f154(x78801),f156(x78801,x78803,x78804))))+P134(f327(f327(f329(x78801),x78802),f327(f154(x78801),x78803))) % 153.71/153.54 [7881]~P134(f327(f327(f329(x78811),x78812),f327(f154(x78811),f158(x78811,x78814,x78813))))+P134(f327(f327(f329(x78811),x78812),f327(f154(x78811),x78813))) % 153.71/153.54 [8087]E(f327(f327(f146(x80871),f158(x80871,x80872,x80873)),x80874),f327(f327(f146(x80871),x80873),x80874))+~P134(f327(f327(f228(a834),x80874),f327(f177(f835(x80871)),f158(x80871,x80872,x80873)))) % 153.71/153.54 [8171]~P65(x81711)+E(f327(f327(f8(a834,x81711),f327(f327(f10(a834,x81711,a834),x81712),a111)),f327(f289(a834,x81713),x81714)),f327(f327(f8(a834,x81711),x81712),f327(f289(a834,f327(a111,x81713)),f327(a111,x81714)))) % 153.71/153.54 [8180]~P65(x81801)+E(f327(f327(f8(a834,x81801),f327(f327(f10(a834,x81801,a834),x81802),a111)),f290(a834,x81803,x81804)),f327(f327(f8(a834,x81801),x81802),f290(a834,f327(a111,x81803),f327(a111,x81804)))) % 153.71/153.54 [8306]~P28(x83061,x83063,x83064,f234(f841(x83061,a831)))+P28(x83061,f841(x83062,x83063),f327(f327(f10(x83063,f841(x83062,x83063),x83061),f18(x83063,x83062)),x83064),f234(f841(x83061,a831))) % 153.71/153.54 [8387]~P28(x83872,x83871,x83874,x83873)+E(f327(f298(x83871,x83872,f81(x83872,x83871,x83873,x83874)),f327(f298(x83872,x83871,x83874),x83873)),x83873) % 153.71/153.54 [8448]~P134(f327(f327(f329(f840(x84481,x84481)),f327(f327(f236(x84481,x84481),x84482),x84484)),f255(x84481,x84483)))+P134(f327(f327(f329(x84481),x84482),x84483)) % 153.71/153.54 [8523]E(f327(f327(f327(f76(x85231,f838(x85232)),f327(f18(f838(x85232),x85231),f179(x85232))),x85233),f327(f222(x85232),f511(x85233,x85234,x85232,x85231))),x85234)+~E(f165(x85231,x85232,x85234),f327(f327(f297(x85231),x85233),f176(f841(x85231,a831)))) % 153.71/153.54 [8642]~E(f327(f327(f8(x86421,a834),x86424),x86423),f327(a111,x86422))+P134(f327(f327(f329(x86421),f358(x86422,x86423,x86424,x86421)),x86423)) % 153.71/153.54 [8658]~E(f327(f327(f8(x86584,a834),x86581),x86583),f327(a111,x86582))+P134(f327(f327(f228(a834),f2(a834)),f327(x86581,f358(x86582,x86583,x86581,x86584)))) % 153.71/153.54 [8668]~P134(f327(f66(x86682),x86684))+P134(f327(f327(f227(a834),f327(f43(x86681),f327(f298(x86682,x86681,x86683),x86684))),f327(f43(x86682),x86684))) % 153.71/153.54 [8669]E(f327(f327(f236(x86691,x86692),f683(x86693,x86694,x86692,x86691)),f684(x86693,x86694,x86692,x86691)),x86694)+~P134(f327(f327(f329(f840(x86691,x86692)),x86694),f327(f273(x86692,x86691),x86693))) % 153.71/153.54 [8678]P28(x86781,x86782,x86783,x86784)+P134(f327(f327(f329(x86781),f503(x86784,x86783,x86782,x86781)),x86784)) % 153.71/153.54 [8679]P28(x86791,x86792,x86793,x86794)+P134(f327(f327(f329(x86791),f504(x86794,x86793,x86792,x86791)),x86794)) % 153.71/153.54 [8732]P16(x87321,x87322,x87323,x87324)+P134(f327(f327(f329(f840(x87321,x87321)),f581(x87324,x87323,x87322,x87321)),x87323)) % 153.71/153.54 [8777]P134(f327(x87771,x87772))+~P134(f327(x87771,f327(f327(f236(x87773,x87774),f809(x87774,x87773,x87771)),f810(x87774,x87773,x87771)))) % 153.71/153.54 [8790]E(f327(f177(f835(x87901)),x87902),f327(f177(f835(x87901)),x87903))+~P134(f327(f327(f329(f840(f835(x87901),f835(x87901))),f327(f327(f236(f835(x87901),f835(x87901)),x87902),x87903)),f131(x87901,x87904))) % 153.71/153.54 [8793]E(f327(f177(f835(x87931)),x87932),f327(f177(f835(x87931)),x87933))+~P134(f327(f327(f329(f840(f835(x87931),f835(x87931))),f327(f327(f236(f835(x87931),f835(x87931)),x87932),x87933)),f142(x87931,x87934))) % 153.71/153.54 [8794]E(f327(f177(f835(x87941)),x87942),f327(f177(f835(x87941)),x87943))+~P134(f327(f327(f329(f840(f835(x87941),f835(x87941))),f327(f327(f236(f835(x87941),f835(x87941)),x87942),x87943)),f141(x87941,x87944))) % 153.71/153.54 [8863]P134(f327(f327(f227(a834),f139(x88631,x88632,x88633)),f139(x88631,x88634,x88633)))+P134(f327(f327(f329(x88631),f741(x88634,x88632,x88633,x88631)),f327(f154(x88631),x88633))) % 153.71/153.54 [8864]E(f327(f177(f835(x88641)),x88642),f327(f177(f835(x88641)),x88643))+~P134(f327(f327(f329(f840(f835(x88641),f835(x88641))),f327(f327(f236(f835(x88641),f835(x88641)),x88642),x88643)),f295(f835(x88641),f141(x88641,x88644)))) % 153.71/153.54 [8975]P134(f327(f327(f274(a834),x89751),x89752))+P134(f327(f327(f227(f841(a834,a831)),f277(a834,f274(a834),x89751,x89752)),f277(a834,f274(a834),x89753,x89754))) % 153.71/153.54 [9083]~P28(x90831,x90832,x90833,x90834)+~P134(f327(f327(f228(a834),f327(f43(x90832),f327(f298(x90831,x90832,x90833),x90834))),f327(f43(x90831),x90834))) % 153.71/153.54 [9115]~P134(f327(f327(f329(f840(f835(x91151),f835(x91151))),f327(f327(f236(f835(x91151),f835(x91151)),x91152),x91153)),f141(x91151,x91154)))+P134(f327(f327(f329(f840(f835(x91151),f835(x91151))),f327(f327(f236(f835(x91151),f835(x91151)),x91152),x91153)),f142(x91151,f295(x91151,x91154)))) % 153.71/153.54 [9118]~P134(f327(f327(f329(f840(f835(x91181),f835(x91181))),f327(f327(f236(f835(x91181),f835(x91181)),x91182),x91183)),f142(x91181,x91184)))+P134(f327(f327(f329(f840(f835(x91181),f835(x91181))),f327(f327(f236(f835(x91181),f835(x91181)),x91182),x91183)),f295(f835(x91181),f141(x91181,x91184)))) % 153.71/153.54 [9133]P134(f327(f327(f329(f840(x91331,x91331)),f327(f327(f236(x91331,x91331),x91332),x91333)),f295(x91331,x91334)))+~P134(f327(f327(f329(f840(x91331,x91331)),f327(f327(f236(x91331,x91331),x91332),x91333)),f327(f327(f276(x91331,x91331,x91331),x91334),f295(x91331,x91334)))) % 153.71/153.54 [9201]P134(f327(f327(f274(a834),x92011),x92012))+~P134(f327(f327(f228(f841(a834,a831)),f277(a834,f274(a834),x92013,x92014)),f277(a834,f274(a834),x92011,x92012))) % 153.71/153.54 [9311]E(f327(f327(f122(x93111),f725(x93112,x93113,x93114,x93111)),f327(f327(f136(x93111),f726(x93112,x93113,x93114,x93111)),f728(x93112,x93113,x93114,x93111))),x93114)+~P134(f327(f327(f329(f840(f835(x93111),f835(x93111))),f327(f327(f236(f835(x93111),f835(x93111)),x93114),x93113)),f141(x93111,x93112))) % 153.71/153.54 [9312]E(f327(f327(f122(x93121),f725(x93122,x93123,x93124,x93121)),f327(f327(f136(x93121),f727(x93122,x93123,x93124,x93121)),f728(x93122,x93123,x93124,x93121))),x93123)+~P134(f327(f327(f329(f840(f835(x93121),f835(x93121))),f327(f327(f236(f835(x93121),f835(x93121)),x93124),x93123)),f141(x93121,x93122))) % 153.71/153.54 [9386]P134(f327(f327(f329(f840(x93861,x93861)),f327(f327(f236(x93861,x93861),x93862),f674(x93863,x93864,x93862,x93861))),f295(x93861,x93863)))+~P134(f327(f327(f329(f840(x93861,x93861)),f327(f327(f236(x93861,x93861),x93862),x93864)),f327(f327(f276(x93861,x93861,x93861),x93863),f295(x93861,x93863)))) % 153.71/153.54 [9452]P134(f327(f327(f227(a834),f139(x94521,x94522,x94523)),f139(x94521,x94524,x94523)))+~P134(f327(f327(f228(a834),f327(x94522,f741(x94524,x94522,x94523,x94521))),f327(x94524,f741(x94524,x94522,x94523,x94521)))) % 153.71/153.54 [9519]P134(f327(f327(f329(f840(x95191,x95191)),f327(f327(f236(x95191,x95191),f673(x95192,x95193,x95194,x95191)),x95193)),f295(x95191,x95192)))+~P134(f327(f327(f329(f840(x95191,x95191)),f327(f327(f236(x95191,x95191),x95194),x95193)),f327(f327(f276(x95191,x95191,x95191),x95192),f295(x95191,x95192)))) % 153.71/153.54 [5051]~E(x50512,x50513)+E(f152(x50511,x50512,f327(f327(f136(x50511),x50513),x50514)),x50514) % 153.71/153.54 [5170]P134(f327(x51702,x51703))+E(f158(x51701,x51702,f327(f327(f136(x51701),x51703),x51704)),f112(x51701)) % 153.71/153.54 [5237]~P81(x52372)+E(f327(f327(f83(f841(x52371,x52372)),x52373),x52374),f327(f83(x52372),f327(x52373,x52374))) % 153.71/153.54 [5249]~E(x52492,f2(a834))+E(f327(f327(f125(x52491),x52492),f327(f327(f136(x52491),x52493),x52494)),f327(f327(f136(x52491),x52493),x52494)) % 153.71/153.54 [5250]P134(f327(x52502,x52503))+E(f327(f123(x52501,x52502),f327(f327(f136(x52501),x52503),x52504)),f327(f123(x52501,x52502),x52504)) % 153.71/153.54 [5384]~E(x53842,x53844)+P134(f327(f327(f327(f297(x53841),x53842),x53843),x53844)) % 153.71/153.54 [5392]E(x53921,f112(x53922))+E(f130(x53923,f327(f327(f138(x53922,x53923),x53924),x53921)),f327(x53924,f130(x53922,x53921))) % 153.71/153.54 [5403]~E(x54031,f68(x54032,x54034))+E(f327(x54031,f327(f327(f297(x54032),x54033),f176(f841(x54032,a831)))),x54033) % 153.71/153.54 [5440]E(x54401,f112(x54402))+E(f327(f127(x54403),f327(f327(f138(x54402,x54403),x54404),x54401)),f327(x54404,f327(f127(x54402),x54401))) % 153.71/153.54 [5545]~P134(f327(x55453,x55454))+P134(f327(f327(f327(f297(x55451),x55452),x55453),x55454)) % 153.71/153.54 [5677]~P22(x56772,x56774,x56771)+E(f327(x56771,f327(f327(f297(x56772),x56773),f176(f841(x56772,a831)))),x56773) % 153.71/153.54 [5702]~E(x57022,x57023)+P134(f327(f327(f329(x57021),x57022),f327(f327(f297(x57021),x57023),x57024))) % 153.71/153.54 [5706]~P82(x57061)+E(f327(f327(f84(x57061),x57062),f327(f327(f84(x57061),x57063),x57064)),f327(f327(f84(x57061),x57063),f327(f327(f84(x57061),x57062),x57064))) % 153.71/153.54 [5707]~P82(x57071)+E(f327(f327(f85(x57071),x57072),f327(f327(f85(x57071),x57073),x57074)),f327(f327(f85(x57071),x57073),f327(f327(f85(x57071),x57072),x57074))) % 153.71/153.54 [5709]~P97(x57091)+E(f327(f327(f231(x57091),x57092),f327(f327(f231(x57091),x57093),x57094)),f327(f327(f231(x57091),x57093),f327(f327(f231(x57091),x57092),x57094))) % 153.71/153.54 [5711]~P97(x57111)+E(f327(f327(f175(x57111),x57112),f327(f327(f175(x57111),x57113),x57114)),f327(f327(f175(x57111),x57113),f327(f327(f175(x57111),x57112),x57114))) % 153.71/153.54 [5712]~P89(x57121)+E(f327(f327(f100(x57121),x57122),f327(f327(f100(x57121),x57123),x57124)),f327(f327(f100(x57121),x57123),f327(f327(f100(x57121),x57122),x57124))) % 153.71/153.54 [5714]~P94(x57141)+E(f327(f327(f100(x57141),x57142),f327(f327(f100(x57141),x57143),x57144)),f327(f327(f100(x57141),x57143),f327(f327(f100(x57141),x57142),x57144))) % 153.71/153.54 [5715]~P89(x57151)+E(f327(f327(f101(x57151),x57152),f327(f327(f101(x57151),x57153),x57154)),f327(f327(f101(x57151),x57153),f327(f327(f101(x57151),x57152),x57154))) % 153.71/153.54 [5717]~P95(x57171)+E(f327(f327(f101(x57171),x57172),f327(f327(f101(x57171),x57173),x57174)),f327(f327(f101(x57171),x57173),f327(f327(f101(x57171),x57172),x57174))) % 153.71/153.54 [5724]E(x57241,x57242)+E(f152(x57243,x57241,f327(f327(f136(x57243),x57242),x57244)),f327(f327(f136(x57243),x57242),f152(x57243,x57241,x57244))) % 153.71/153.54 [5739]~P134(f327(x57392,x57393))+E(f327(f123(x57391,x57392),f327(f327(f136(x57391),x57393),x57394)),f327(f327(f136(x57391),x57393),f327(f123(x57391,x57392),x57394))) % 153.71/153.54 [5877]~P134(f327(x58772,x58773))+E(f158(x58771,x58772,f327(f327(f136(x58771),x58773),x58774)),f327(f327(f136(x58771),x58773),f158(x58771,x58772,x58774))) % 153.71/153.54 [5942]E(x59421,f176(f841(x59422,a831)))+E(f327(f327(f47(x59422,f841(x59423,a831)),x59421),f327(f18(f841(x59423,a831),x59422),x59424)),x59424) % 153.71/153.54 [5943]E(x59431,f176(f841(x59432,a831)))+E(f327(f327(f48(x59432,f841(x59433,a831)),x59431),f327(f18(f841(x59433,a831),x59432),x59434)),x59434) % 153.71/153.54 [5952]~E(x59524,f176(f841(x59522,a831)))+E(f327(f327(f243(x59521,x59522),x59523),f327(f18(f841(x59522,a831),x59521),x59524)),f176(f841(f840(x59521,x59522),a831))) % 153.71/153.54 [5953]~E(x59533,f176(f841(x59531,a831)))+E(f327(f327(f243(x59531,x59532),x59533),f327(f18(f841(x59532,a831),x59531),x59534)),f176(f841(f840(x59531,x59532),a831))) % 153.71/153.54 [6004]E(x60041,f2(a834))+E(f327(f327(f125(x60042),x60041),f327(f327(f136(x60042),x60043),x60044)),f327(f327(f125(x60042),f327(f327(f3(a834),x60041),f82(a834))),x60044)) % 153.71/153.54 [6031]E(x60311,f176(f841(x60312,a831)))+E(f327(f298(x60312,x60313,f327(f18(x60313,x60312),x60314)),x60311),f327(f327(f297(x60313),x60314),f176(f841(x60313,a831)))) % 153.71/153.54 [6034]E(f327(f300(x60341,x60342,f327(f18(x60342,x60341),x60343)),x60344),f176(f841(x60341,a831)))+P134(f327(f327(f329(x60342),x60343),x60344)) % 153.71/153.54 [6104]~E(x61043,f176(f841(x61041,a831)))+E(f327(f327(f47(x61041,f841(x61042,a831)),x61043),f327(f18(f841(x61042,a831),x61041),x61044)),f176(f841(x61042,a831))) % 153.71/153.54 [6105]~E(x61053,f176(f841(x61051,a831)))+E(f327(f327(f48(x61051,f841(x61052,a831)),x61053),f327(f18(f841(x61052,a831),x61051),x61054)),f234(f841(x61052,a831))) % 153.71/153.54 [6107]~P7(x61071)+E(f53(x61071,f327(f327(f85(x61071),x61072),x61073),f327(f327(f85(x61071),x61072),x61074)),f327(f327(f85(x61071),x61072),f53(x61071,x61073,x61074))) % 153.71/153.54 [6282]E(f327(f300(x62821,x62822,f327(f18(x62822,x62821),x62823)),x62824),f234(f841(x62821,a831)))+~P134(f327(f327(f329(x62822),x62823),x62824)) % 153.71/153.54 [6304]~P134(f327(f327(f329(x63041),x63042),x63044))+P134(f327(f327(f329(x63041),x63042),f327(f327(f297(x63041),x63043),x63044))) % 153.71/153.54 [6317]~E(x63173,f327(f327(f3(a834),f327(f177(f835(x63171)),x63172)),f82(a834)))+E(f113(x63171,f327(f327(f143(x63171,x63172),x63173),x63174)),f113(x63171,x63172)) % 153.71/153.54 [6342]~P97(x63421)+E(f327(f327(f101(f841(x63421,a831)),f327(f288(x63421),x63422)),f290(x63421,x63423,x63424)),f290(x63421,x63423,f327(f327(f231(x63421),x63422),x63424))) % 153.71/153.54 [6343]~P97(x63431)+E(f327(f327(f101(f841(x63431,a831)),f327(f253(x63431),x63432)),f290(x63431,x63433,x63434)),f290(x63431,f327(f327(f175(x63431),x63432),x63433),x63434)) % 153.71/153.54 [6358]E(f327(f327(f101(f841(x63581,a831)),x63582),f327(f327(f297(x63581),x63583),x63584)),f327(f327(f101(f841(x63581,a831)),x63582),x63584))+P134(f327(f327(f329(x63581),x63583),x63582)) % 153.71/153.54 [6370]E(f152(x63701,x63702,f327(f327(f122(x63701),x63703),x63704)),f327(f327(f122(x63701),x63703),f152(x63701,x63702,x63704)))+P134(f327(f327(f329(x63701),x63702),f327(f154(x63701),x63703))) % 153.71/153.54 [6375]~P72(x63751)+E(f327(f327(f85(x63751),f327(f327(f237(x63751),x63752),x63753)),f327(f327(f237(x63751),x63752),x63754)),f327(f327(f237(x63751),x63752),f327(f327(f84(a834),x63753),x63754))) % 153.71/153.54 [6376]~P82(x63761)+E(f327(f327(f85(x63761),f327(f327(f237(x63761),x63762),x63763)),f327(f327(f237(x63761),x63762),x63764)),f327(f327(f237(x63761),x63762),f327(f327(f84(a834),x63763),x63764))) % 153.71/153.54 [6413]~P82(x64131)+E(f327(f327(f84(x64131),f327(f327(f85(x64131),x64132),x64133)),f327(f327(f85(x64131),x64132),x64134)),f327(f327(f85(x64131),x64132),f327(f327(f84(x64131),x64133),x64134))) % 153.71/153.54 [6414]~P97(x64141)+E(f327(f327(f175(x64141),f327(f327(f231(x64141),x64142),x64143)),f327(f327(f231(x64141),x64142),x64144)),f327(f327(f231(x64141),x64142),f327(f327(f175(x64141),x64143),x64144))) % 153.71/153.54 [6415]~P97(x64151)+E(f327(f327(f231(x64151),f327(f327(f175(x64151),x64152),x64153)),f327(f327(f175(x64151),x64152),x64154)),f327(f327(f175(x64151),x64152),f327(f327(f231(x64151),x64153),x64154))) % 153.71/153.54 [6416]~P93(x64161)+E(f327(f327(f101(x64161),f327(f327(f100(x64161),x64162),x64163)),f327(f327(f100(x64161),x64162),x64164)),f327(f327(f100(x64161),x64162),f327(f327(f101(x64161),x64163),x64164))) % 153.71/153.54 [6417]~P93(x64171)+E(f327(f327(f100(x64171),f327(f327(f101(x64171),x64172),x64173)),f327(f327(f101(x64171),x64172),x64174)),f327(f327(f101(x64171),x64172),f327(f327(f100(x64171),x64173),x64174))) % 153.71/153.54 [6450]~P7(x64501)+E(f53(x64501,f327(f327(f85(x64501),x64502),x64503),f327(f327(f85(x64501),x64504),x64503)),f327(f327(f85(x64501),f53(x64501,x64502,x64504)),x64503)) % 153.71/153.54 [6453]~E(f327(f177(f835(x64531)),x64533),f327(f177(f835(x64532)),x64534))+E(f327(f327(f138(f840(x64531,x64532),x64532),f245(x64531,x64532)),f327(f327(f163(x64531,x64532),x64533),x64534)),x64534) % 153.71/153.54 [6454]~E(f327(f177(f835(x64541)),x64543),f327(f177(f835(x64542)),x64544))+E(f327(f327(f138(f840(x64541,x64542),x64541),f235(x64541,x64542)),f327(f327(f163(x64541,x64542),x64543),x64544)),x64543) % 153.71/153.54 [6466]~P7(x64661)+E(f53(x64661,f327(f327(f85(x64661),x64662),f53(x64661,x64663,x64664)),x64664),f53(x64661,f327(f327(f85(x64661),x64662),x64663),x64664)) % 153.71/153.54 [6467]~P8(x64671)+E(f53(x64671,f327(f327(f3(x64671),x64672),f53(x64671,x64673,x64674)),x64674),f53(x64671,f327(f327(f3(x64671),x64672),x64673),x64674)) % 153.71/153.54 [6468]~P7(x64681)+E(f53(x64681,f327(f327(f84(x64681),x64682),f53(x64681,x64683,x64684)),x64684),f53(x64681,f327(f327(f84(x64681),x64682),x64683),x64684)) % 153.71/153.54 [6550]~P97(x65501)+E(f327(f327(f101(f841(x65501,a831)),f290(x65501,x65502,x65503)),f327(f288(x65501),x65504)),f290(x65501,x65502,f327(f327(f231(x65501),x65503),x65504))) % 153.71/153.54 [6551]~P97(x65511)+E(f327(f327(f101(f841(x65511,a831)),f290(x65511,x65512,x65513)),f327(f253(x65511),x65514)),f290(x65511,f327(f327(f175(x65511),x65512),x65514),x65513)) % 153.71/153.54 [6554]~E(f327(f177(f835(x65541)),x65543),f327(f177(f835(x65542)),x65544))+E(f327(f327(f163(x65541,x65542),f327(f151(x65541),x65543)),f327(f151(x65542),x65544)),f327(f151(f840(x65541,x65542)),f327(f327(f163(x65541,x65542),x65543),x65544))) % 153.71/153.54 [6563]E(x65631,f327(f327(f3(a834),f327(f177(f835(x65632)),x65633)),f82(a834)))+E(f113(x65632,f327(f327(f143(x65632,x65633),x65631),x65634)),f327(f327(f143(x65632,f113(x65632,x65633)),x65631),x65634)) % 153.71/153.54 [6580]~P134(f327(f124(x65802),x65804))+P134(f327(f124(f840(x65801,x65802)),f327(f327(f163(x65801,x65802),x65803),x65804))) % 153.71/153.54 [6581]~P134(f327(f124(x65811),x65813))+P134(f327(f124(f840(x65811,x65812)),f327(f327(f163(x65811,x65812),x65813),x65814))) % 153.71/153.54 [6855]E(f327(f327(f44(a834),x68551),x68552),x68553)+~P134(f327(f56(x68551,x68552),f327(f327(f236(a834,a834),x68553),x68554))) % 153.71/153.54 [6887]E(f53(a834,x68871,x68872),x68873)+~P134(f327(f56(x68871,x68872),f327(f327(f236(a834,a834),x68874),x68873))) % 153.71/153.54 [6890]P134(f327(f124(x68901),x68902))+~P134(f327(f124(x68903),f327(f327(f138(x68901,x68903),x68904),x68902))) % 153.71/153.54 [6970]E(f152(x69701,x69702,f327(f327(f122(x69701),x69703),x69704)),f327(f327(f122(x69701),f152(x69701,x69702,x69703)),x69704))+~P134(f327(f327(f329(x69701),x69702),f327(f154(x69701),x69703))) % 153.71/153.54 [7068]~P8(x70681)+E(f53(x70681,f327(f327(f3(x70681),f53(x70681,x70682,x70683)),x70684),x70683),f53(x70681,f327(f327(f3(x70681),x70682),x70684),x70683)) % 153.71/153.54 [7069]~P7(x70691)+E(f53(x70691,f327(f327(f84(x70691),f53(x70691,x70692,x70693)),x70694),x70693),f53(x70691,f327(f327(f84(x70691),x70692),x70694),x70693)) % 153.71/153.54 [7070]~P7(x70701)+E(f53(x70701,f327(f327(f85(x70701),f53(x70701,x70702,x70703)),x70704),x70703),f53(x70701,f327(f327(f85(x70701),x70702),x70704),x70703)) % 153.71/153.54 [7276]~E(x72761,f327(f327(f136(x72762),x72763),x72764))+~P134(f327(f327(f227(a834),f327(f177(f835(x72762)),x72761)),f327(f177(f835(x72762)),x72764))) % 153.71/153.54 [7444]~E(f162(x74441,x74442,x74443),f162(x74441,x74442,x74444))+E(f327(f298(f840(x74441,x74442),x74441,f235(x74441,x74442)),f327(f154(f840(x74441,x74442)),x74443)),f327(f298(f840(x74441,x74442),x74441,f235(x74441,x74442)),f327(f154(f840(x74441,x74442)),x74444))) % 153.71/153.54 [7488]P28(x74881,x74882,x74883,f327(f154(x74881),x74884))+~P134(f327(f124(x74882),f327(f327(f138(x74881,x74882),x74883),x74884))) % 153.71/153.54 [7564]~P134(f327(f327(f227(f841(x75641,a831)),x75642),x75644))+P134(f327(f327(f227(f841(x75641,a831)),x75642),f327(f327(f297(x75641),x75643),x75644))) % 153.71/153.54 [7599]~P7(x75991)+E(f53(x75991,f327(f327(f84(x75991),f53(x75991,x75992,x75993)),f53(x75991,x75994,x75993)),x75993),f53(x75991,f327(f327(f84(x75991),x75992),x75994),x75993)) % 153.71/153.54 [7600]~P7(x76001)+E(f53(x76001,f327(f327(f85(x76001),f53(x76001,x76002,x76003)),f53(x76001,x76004,x76003)),x76003),f53(x76001,f327(f327(f85(x76001),x76002),x76004),x76003)) % 153.71/153.54 [7601]~P8(x76011)+E(f53(x76011,f327(f327(f3(x76011),f53(x76011,x76012,x76013)),f53(x76011,x76014,x76013)),x76013),f53(x76011,f327(f327(f3(x76011),x76012),x76014),x76013)) % 153.71/153.54 [7701]~E(f327(x77014,f615(x77014,x77013,x77011,x77012)),f234(f841(x77012,a831)))+E(f327(f327(f48(x77011,f841(x77012,a831)),x77013),x77014),f234(f841(x77012,a831))) % 153.71/153.54 [7702]~E(f327(x77024,f378(x77024,x77023,x77021,x77022)),f176(f841(x77022,a831)))+E(f327(f327(f47(x77021,f841(x77022,a831)),x77023),x77024),f176(f841(x77022,a831))) % 153.71/153.54 [7703]~E(f327(x77034,f379(x77034,x77033,x77032,x77031)),f176(f841(x77032,a831)))+E(f327(f327(f47(x77031,f841(x77032,a831)),x77033),x77034),f176(f841(x77032,a831))) % 153.71/153.54 [7704]~E(f327(x77044,f616(x77044,x77043,x77042,x77041)),f234(f841(x77042,a831)))+E(f327(f327(f48(x77041,f841(x77042,a831)),x77043),x77044),f234(f841(x77042,a831))) % 153.71/153.54 [8088]P134(f327(x80881,x80882))+~P134(f327(f327(f329(x80883),x80882),f327(f327(f101(f841(x80883,a831)),x80884),f327(f251(x80883),x80881)))) % 153.71/153.54 [8126]~P134(f327(f327(f227(f841(x81261,a831)),x81263),x81264))+P134(f327(f327(f227(f841(x81261,a831)),f327(f327(f297(x81261),x81262),x81263)),f327(f327(f297(x81261),x81262),x81264))) % 153.71/153.54 [8299]P134(f327(x82992,x82993))+E(f327(f327(f125(x82991),f327(f177(f835(x82991)),f158(x82991,x82992,f327(f327(f136(x82991),x82993),x82994)))),f327(f327(f136(x82991),x82993),x82994)),f327(f327(f136(x82991),x82993),x82994)) % 153.71/153.54 [8401]~P134(f327(f327(f228(a834),f327(x84014,x84012)),f327(x84014,x84013)))+P134(f327(f327(f329(f840(x84011,x84011)),f327(f327(f236(x84011,x84011),x84012),x84013)),f327(f327(f275(a834,x84011),a232),x84014))) % 153.71/153.54 [8548]P28(f835(x85481),f835(x85482),f327(f138(x85481,x85482),x85483),x85484)+~P28(x85481,x85482,x85483,f45(f841(x85481,a831),f327(f298(f835(x85481),f841(x85481,a831),f154(x85481)),x85484))) % 153.71/153.54 [8614]~P134(f327(x86142,x86143))+E(f327(f327(f125(x86141),f327(f177(f835(x86141)),f158(x86141,x86142,f327(f327(f136(x86141),x86143),x86144)))),f327(f327(f136(x86141),x86143),x86144)),f327(f327(f125(x86141),f327(f177(f835(x86141)),f158(x86141,x86142,x86144))),x86144)) % 153.71/153.54 [8659]E(f327(f327(f48(x86591,f841(x86592,a831)),x86593),x86594),f234(f841(x86592,a831)))+P134(f327(f327(f329(x86591),f615(x86594,x86593,x86591,x86592)),x86593)) % 153.71/153.54 [8660]E(f327(f327(f47(x86601,f841(x86602,a831)),x86603),x86604),f176(f841(x86602,a831)))+P134(f327(f327(f329(x86601),f378(x86604,x86603,x86601,x86602)),x86603)) % 153.71/153.54 [8661]E(f327(f327(f47(x86611,f841(x86612,a831)),x86613),x86614),f176(f841(x86612,a831)))+P134(f327(f327(f329(x86611),f379(x86614,x86613,x86612,x86611)),x86613)) % 153.71/153.54 [8662]E(f327(f327(f48(x86621,f841(x86622,a831)),x86623),x86624),f234(f841(x86622,a831)))+P134(f327(f327(f329(x86621),f616(x86624,x86623,x86622,x86621)),x86623)) % 153.71/153.54 [8697]P134(f327(f327(f228(a834),f327(x86971,x86972)),f327(x86971,x86973)))+~P134(f327(f327(f329(f840(x86974,x86974)),f327(f327(f236(x86974,x86974),x86972),x86973)),f327(f327(f275(a834,x86974),a232),x86971))) % 153.71/153.54 [8852]P134(f327(f327(f329(x88521),f480(x88522,x88523,x88524,x88521)),x88523))+~P134(f327(f327(f329(f841(x88521,a831)),x88524),f327(f327(f62(x88521),x88523),x88522))) % 153.71/153.54 [8855]E(x88551,x88552)+~P134(f327(f327(f329(f840(x88553,x88553)),f327(f327(f236(x88553,x88553),x88551),x88552)),f327(f327(f169(f840(x88553,x88553),a831),f2(a834)),x88554))) % 153.71/153.54 [8927]E(f327(f272(x89271,x89271,x89272),f327(f327(f297(x89271),f480(x89272,x89273,x89274,x89271)),f176(f841(x89271,a831)))),x89274)+~P134(f327(f327(f329(f841(x89271,a831)),x89274),f327(f327(f62(x89271),x89273),x89272))) % 153.71/153.54 [8938]~P134(f327(f327(f329(f840(x89381,x89381)),f327(f327(f236(x89381,x89381),x89383),x89382)),f295(x89381,x89384)))+P134(f327(f327(f329(f840(x89381,x89381)),f327(f327(f236(x89381,x89381),x89382),x89383)),f295(x89381,f327(f273(x89381,x89381),x89384)))) % 153.71/153.54 [8951]~P7(x89511)+E(f327(f327(f84(x89511),f327(f327(f84(x89511),f327(f327(f85(x89511),x89512),f327(f327(f44(x89511),x89513),x89512))),f53(x89511,x89513,x89512))),x89514),f327(f327(f84(x89511),x89513),x89514)) % 153.71/153.54 [8958]~P134(f327(f327(f329(x89581),x89583),x89584))+P134(f327(f327(f329(f841(x89581,a831)),f327(f272(x89581,x89581,x89582),f327(f327(f297(x89581),x89583),f176(f841(x89581,a831))))),f327(f327(f62(x89581),x89584),x89582))) % 153.71/153.54 [8968]P134(f327(f327(f329(f840(x89681,x89681)),f327(f327(f236(x89681,x89681),x89682),x89683)),f295(x89681,x89684)))+~P134(f327(f327(f329(f840(x89681,x89681)),f327(f327(f236(x89681,x89681),x89683),x89682)),f295(x89681,f327(f273(x89681,x89681),x89684)))) % 153.71/153.54 [9050]E(f327(f327(f143(x90501,f327(f151(x90501),x90502)),f327(f327(f3(a834),f327(f327(f3(a834),f327(f177(f835(x90501)),x90502)),x90503)),f82(a834))),x90504),f327(f151(x90501),f327(f327(f143(x90501,x90502),x90503),x90504)))+~P134(f327(f327(f228(a834),x90503),f327(f177(f835(x90501)),x90502))) % 153.71/153.54 [9087]~P28(x90872,x90871,x90873,f234(f841(x90872,a831)))+P134(f327(f327(f227(f841(x90871,a831)),f327(f298(x90872,x90871,x90873),f327(f83(f841(x90872,a831)),x90874))),f327(f83(f841(x90871,a831)),f327(f298(x90872,x90871,x90873),x90874)))) % 153.71/153.54 [9095]~P9(x90951)+E(f327(f128(x90951,x90952,f327(f9(x90952,x90951,x90951),f327(f327(f10(x90951,f841(x90951,x90951),x90952),f100(x90951)),x90953)),f176(x90951)),x90954),f327(f327(f47(x90952,x90951),f327(f154(x90952),x90954)),x90953)) % 153.71/153.54 [9096]~P9(x90961)+E(f327(f128(x90961,x90962,f327(f9(x90962,x90961,x90961),f327(f327(f10(x90961,f841(x90961,x90961),x90962),f101(x90961)),x90963)),f234(x90961)),x90964),f327(f327(f48(x90962,x90961),f327(f154(x90962),x90964)),x90963)) % 153.71/153.54 [9164]~P134(f327(f327(f329(f840(f835(x91644),f835(x91644))),f327(f327(f236(f835(x91644),f835(x91644)),x91643),x91642)),f141(x91644,x91641)))+P134(f327(f327(f228(a834),f723(x91641,x91642,x91643,x91644)),f327(f177(f835(x91644)),x91643))) % 153.71/153.54 [9165]~P7(x91651)+E(f327(f327(f84(x91651),f327(f327(f84(x91651),f327(f327(f85(x91651),f327(f327(f44(x91651),x91652),x91653)),x91653)),f53(x91651,x91652,x91653))),x91654),f327(f327(f84(x91651),x91652),x91654)) % 153.71/153.54 [9193]~P134(f327(f327(f329(f840(f835(x91931),f835(x91931))),f327(f327(f236(f835(x91931),f835(x91931)),x91932),x91933)),f327(f273(f835(x91931),f835(x91931)),f141(x91931,x91934))))+P134(f327(f327(f329(f840(f835(x91931),f835(x91931))),f327(f327(f236(f835(x91931),f835(x91931)),x91932),x91933)),f141(x91931,f327(f273(x91931,x91931),x91934)))) % 153.71/153.54 [9194]P134(f327(f327(f329(f840(f835(x91941),f835(x91941))),f327(f327(f236(f835(x91941),f835(x91941)),x91942),x91943)),f327(f273(f835(x91941),f835(x91941)),f141(x91941,x91944))))+~P134(f327(f327(f329(f840(f835(x91941),f835(x91941))),f327(f327(f236(f835(x91941),f835(x91941)),x91942),x91943)),f141(x91941,f327(f273(x91941,x91941),x91944)))) % 153.71/153.54 [9231]~P134(f327(f327(f329(x92311),x92313),f327(f256(x92311,x92312),x92314)))+P134(f327(f327(f329(f840(x92311,x92312)),f327(f327(f236(x92311,x92312),x92313),f574(x92314,x92312,x92313,x92311))),x92314)) % 153.71/153.54 [9232]~P134(f327(f327(f329(x92321),x92323),f327(f256(x92321,x92322),x92324)))+P134(f327(f327(f329(f840(x92321,x92322)),f327(f327(f236(x92321,x92322),x92323),f577(x92324,x92322,x92323,x92321))),x92324)) % 153.71/153.54 [9356]~P134(f327(f66(f838(x93561)),f327(f298(x93562,f838(x93561),x93563),f234(f841(x93562,a831)))))+P134(f327(f66(f838(x93561)),f327(f298(x93562,f838(x93561),f166(x93562,x93561,x93563,f162(x93562,x93561,x93564))),f234(f841(x93562,a831))))) % 153.71/153.54 [9381]~P134(f327(f327(f329(f840(x93811,x93811)),f327(f327(f236(x93811,x93811),x93812),x93814)),f327(f327(f276(x93811,x93811,x93811),x93813),f295(x93811,x93813))))+P134(f327(f327(f329(f840(x93811,x93811)),f327(f327(f236(x93811,x93811),x93812),f673(x93813,x93814,x93812,x93811))),x93813)) % 153.71/153.54 [9541]~P134(f327(f327(f329(f840(x95412,x95411)),x95414),f327(f273(x95411,x95412),x95413)))+P134(f327(f327(f329(f840(x95411,x95412)),f327(f327(f236(x95411,x95412),f684(x95413,x95414,x95411,x95412)),f683(x95413,x95414,x95411,x95412))),x95413)) % 153.71/153.54 [9565]~P134(f327(f327(f329(f840(f835(x95651),f835(x95651))),f327(f327(f236(f835(x95651),f835(x95651)),x95654),x95653)),f141(x95651,x95652)))+P134(f327(f327(f329(f840(x95651,x95651)),f327(f327(f236(x95651,x95651),f726(x95652,x95653,x95654,x95651)),f727(x95652,x95653,x95654,x95651))),x95652)) % 153.71/153.54 [9641]~P134(f327(f327(f329(f840(f835(x96411),f835(x96411))),f327(f327(f236(f835(x96411),f835(x96411)),x96412),x96414)),f141(x96411,x96413)))+P134(f327(f327(f329(f840(x96411,x96411)),f327(f327(f236(x96411,x96411),f327(f327(f146(x96411),x96412),f723(x96413,x96414,x96412,x96411))),f724(x96413,x96414,x96412,x96411))),x96413)) % 153.71/153.54 [9661]~P134(f327(f66(x96612),x96614))+E(f327(f327(f327(f70(f841(x96611,a831),x96612,f100(f841(x96611,a831))),f327(f327(f9(x96612,f841(x96611,a831),f841(x96611,a831)),f327(f327(f10(x96611,f841(f841(x96611,a831),f841(x96611,a831)),x96612),f297(x96611)),x96613)),f176(f841(x96611,a831)))),f176(f841(x96611,a831))),x96614),f327(f298(x96612,x96611,x96613),x96614)) % 153.71/153.54 [9778]~P28(x97781,x97782,x97783,f234(f841(x97781,a831)))+P134(f327(f327(f227(f841(x97781,a831)),f327(f300(x97781,x97782,x97783),f327(f327(f297(x97782),x97784),f176(f841(x97782,a831))))),f327(f327(f297(x97781),f89(x97781,f327(f327(f9(x97781,x97782,a831),f327(f327(f10(x97782,f841(x97782,a831),x97781),a324),x97783)),x97784))),f176(f841(x97781,a831))))) % 153.71/153.54 [5449]~E(f327(f327(f122(x54491),x54492),x54494),x54493)+E(f327(f327(f155(x54491),f327(f177(f835(x54491)),x54492)),x54493),x54492) % 153.71/153.54 [5450]~E(f327(f327(f122(x54502),x54503),x54501),x54504)+E(x54501,f327(f327(f125(x54502),f327(f177(f835(x54502)),x54503)),x54504)) % 153.71/153.54 [5461]~E(x54614,f2(a834))+E(f327(f327(f146(x54611),f327(f327(f136(x54611),x54612),x54613)),x54614),x54612) % 153.71/153.54 [6015]~P82(x60151)+E(f327(f327(f237(x60151),f327(f327(f237(x60151),x60152),x60153)),x60154),f327(f327(f237(x60151),x60152),f327(f327(f85(a834),x60153),x60154))) % 153.71/153.54 [6016]~P72(x60161)+E(f327(f327(f237(x60161),f327(f327(f237(x60161),x60162),x60163)),x60164),f327(f327(f237(x60161),x60162),f327(f327(f85(a834),x60163),x60164))) % 153.71/153.54 [6032]E(x60321,f2(a834))+E(f327(f327(f146(x60322),f327(f327(f136(x60322),x60323),x60324)),x60321),f327(f327(f146(x60322),x60324),f327(f327(f3(a834),x60321),f82(a834)))) % 153.71/153.54 [6059]~P110(x60591)+E(f327(f327(f278(x60591),f327(f327(f85(x60591),x60592),x60593)),x60594),f327(f327(f85(x60591),x60592),f327(f327(f278(x60591),x60593),x60594))) % 153.71/153.54 [6060]~P5(x60601)+E(f327(f327(f84(x60601),f327(f327(f84(x60601),x60602),x60603)),x60604),f327(f327(f84(x60601),x60602),f327(f327(f84(x60601),x60603),x60604))) % 153.71/153.54 [6061]~P82(x60611)+E(f327(f327(f84(x60611),f327(f327(f84(x60611),x60612),x60613)),x60614),f327(f327(f84(x60611),x60612),f327(f327(f84(x60611),x60613),x60614))) % 153.71/153.54 [6062]~P82(x60621)+E(f327(f327(f85(x60621),f327(f327(f85(x60621),x60622),x60623)),x60624),f327(f327(f85(x60621),x60622),f327(f327(f85(x60621),x60623),x60624))) % 153.71/153.54 [6063]~P62(x60631)+E(f327(f327(f85(x60631),f327(f327(f85(x60631),x60632),x60633)),x60634),f327(f327(f85(x60631),x60632),f327(f327(f85(x60631),x60633),x60634))) % 153.71/153.54 [6066]~P97(x60661)+E(f327(f327(f231(x60661),f327(f327(f231(x60661),x60662),x60663)),x60664),f327(f327(f231(x60661),x60662),f327(f327(f231(x60661),x60663),x60664))) % 153.71/153.54 [6068]~P97(x60681)+E(f327(f327(f175(x60681),f327(f327(f175(x60681),x60682),x60683)),x60684),f327(f327(f175(x60681),x60682),f327(f327(f175(x60681),x60683),x60684))) % 153.71/153.54 [6069]~P89(x60691)+E(f327(f327(f100(x60691),f327(f327(f100(x60691),x60692),x60693)),x60694),f327(f327(f100(x60691),x60692),f327(f327(f100(x60691),x60693),x60694))) % 153.71/153.54 [6071]~P94(x60711)+E(f327(f327(f100(x60711),f327(f327(f100(x60711),x60712),x60713)),x60714),f327(f327(f100(x60711),x60712),f327(f327(f100(x60711),x60713),x60714))) % 153.71/153.54 [6072]~P89(x60721)+E(f327(f327(f101(x60721),f327(f327(f101(x60721),x60722),x60723)),x60724),f327(f327(f101(x60721),x60722),f327(f327(f101(x60721),x60723),x60724))) % 153.71/153.54 [6074]~P95(x60741)+E(f327(f327(f101(x60741),f327(f327(f101(x60741),x60742),x60743)),x60744),f327(f327(f101(x60741),x60742),f327(f327(f101(x60741),x60743),x60744))) % 153.71/153.54 [6087]~P7(x60871)+E(f53(x60871,f327(f327(f84(x60871),x60872),f327(f327(f85(x60871),x60873),x60874)),x60874),f53(x60871,x60872,x60874)) % 153.71/153.54 [6088]~P7(x60881)+E(f53(x60881,f327(f327(f84(x60881),x60882),f327(f327(f85(x60881),x60883),x60884)),x60883),f53(x60881,x60882,x60883)) % 153.71/153.54 [6228]E(f327(f327(f146(x62281),f327(f327(f155(x62281),x62282),x62283)),x62284),f327(f327(f146(x62281),x62283),x62284))+~P134(f327(f327(f228(a834),x62284),x62282)) % 153.71/153.54 [6411]~P82(x64111)+E(f327(f327(f84(x64111),f327(f327(f84(x64111),x64112),x64113)),x64114),f327(f327(f84(x64111),f327(f327(f84(x64111),x64112),x64114)),x64113)) % 153.71/153.54 [6412]~P82(x64121)+E(f327(f327(f85(x64121),f327(f327(f85(x64121),x64122),x64123)),x64124),f327(f327(f85(x64121),f327(f327(f85(x64121),x64122),x64124)),x64123)) % 153.71/153.54 [6471]~P1(x64712)+E(f327(f327(f8(x64711,x64712),f327(f18(x64712,x64711),x64713)),x64714),f327(f327(f85(x64712),f327(f99(x64712),f327(f43(x64711),x64714))),x64713)) % 153.71/153.54 [6648]E(f327(f327(f101(f841(x66481,a831)),f327(f327(f297(x66481),x66482),x66483)),x66484),f327(f327(f101(f841(x66481,a831)),x66483),x66484))+P134(f327(f327(f329(x66481),x66482),x66484)) % 153.71/153.54 [6721]~P71(x67211)+E(f327(f327(f231(x67211),f327(f327(f84(x67211),x67212),x67213)),f327(f327(f84(x67211),x67214),x67213)),f327(f327(f84(x67211),f327(f327(f231(x67211),x67212),x67214)),x67213)) % 153.71/153.54 [6722]~P71(x67221)+E(f327(f327(f175(x67221),f327(f327(f84(x67221),x67222),x67223)),f327(f327(f84(x67221),x67224),x67223)),f327(f327(f84(x67221),f327(f327(f175(x67221),x67222),x67224)),x67223)) % 153.71/153.54 [6724]~P106(x67241)+E(f327(f327(f84(x67241),f327(f327(f85(x67241),x67242),x67243)),f327(f327(f85(x67241),x67244),x67243)),f327(f327(f85(x67241),f327(f327(f84(x67241),x67242),x67244)),x67243)) % 153.71/153.54 [6725]~P74(x67251)+E(f327(f327(f231(x67251),f327(f327(f3(x67251),x67252),x67253)),f327(f327(f3(x67251),x67254),x67253)),f327(f327(f3(x67251),f327(f327(f231(x67251),x67252),x67254)),x67253)) % 153.71/153.54 [6726]~P74(x67261)+E(f327(f327(f175(x67261),f327(f327(f3(x67261),x67262),x67263)),f327(f327(f3(x67261),x67264),x67263)),f327(f327(f3(x67261),f327(f327(f175(x67261),x67262),x67264)),x67263)) % 153.71/153.54 [6727]~P82(x67271)+E(f327(f327(f85(x67271),f327(f327(f237(x67271),x67272),x67273)),f327(f327(f237(x67271),x67274),x67273)),f327(f327(f237(x67271),f327(f327(f85(x67271),x67272),x67274)),x67273)) % 153.71/153.54 [6728]~P68(x67281)+E(f327(f327(f85(x67281),f327(f327(f237(x67281),x67282),x67283)),f327(f327(f237(x67281),x67284),x67283)),f327(f327(f237(x67281),f327(f327(f85(x67281),x67282),x67284)),x67283)) % 153.71/153.54 [6729]~P58(x67291)+E(f327(f327(f278(x67291),f327(f327(f237(x67291),x67292),x67293)),f327(f327(f237(x67291),x67294),x67293)),f327(f327(f237(x67291),f327(f327(f278(x67291),x67292),x67294)),x67293)) % 153.71/153.54 [6730]~P110(x67301)+E(f327(f327(f84(x67301),f327(f327(f278(x67301),x67302),x67303)),f327(f327(f278(x67301),x67304),x67303)),f327(f327(f278(x67301),f327(f327(f84(x67301),x67302),x67304)),x67303)) % 153.71/153.54 [6731]~P110(x67311)+E(f327(f327(f3(x67311),f327(f327(f278(x67311),x67312),x67313)),f327(f327(f278(x67311),x67314),x67313)),f327(f327(f278(x67311),f327(f327(f3(x67311),x67312),x67314)),x67313)) % 153.71/153.54 [6732]~P97(x67321)+E(f327(f327(f175(x67321),f327(f327(f231(x67321),x67322),x67323)),f327(f327(f231(x67321),x67324),x67323)),f327(f327(f231(x67321),f327(f327(f175(x67321),x67322),x67324)),x67323)) % 153.71/153.54 [6733]~P97(x67331)+E(f327(f327(f231(x67331),f327(f327(f175(x67331),x67332),x67333)),f327(f327(f175(x67331),x67334),x67333)),f327(f327(f175(x67331),f327(f327(f231(x67331),x67332),x67334)),x67333)) % 153.71/153.54 [6734]~P93(x67341)+E(f327(f327(f101(x67341),f327(f327(f100(x67341),x67342),x67343)),f327(f327(f100(x67341),x67344),x67343)),f327(f327(f100(x67341),f327(f327(f101(x67341),x67342),x67344)),x67343)) % 153.71/153.54 [6735]~P93(x67351)+E(f327(f327(f100(x67351),f327(f327(f101(x67351),x67352),x67353)),f327(f327(f101(x67351),x67354),x67353)),f327(f327(f101(x67351),f327(f327(f100(x67351),x67352),x67354)),x67353)) % 153.71/153.54 [6736]~P82(x67361)+E(f327(f327(f84(x67361),f327(f327(f85(x67361),x67362),x67363)),f327(f327(f85(x67361),x67364),x67363)),f327(f327(f85(x67361),f327(f327(f84(x67361),x67362),x67364)),x67363)) % 153.71/153.54 [6771]E(f327(f327(f143(x67711,x67712),x67713),x67714),x67712)+~P134(f327(f327(f227(a834),f327(f177(f835(x67711)),x67712)),x67713)) % 153.71/153.54 [6797]~P134(f327(x67973,x67974))+P134(f327(f327(f327(f100(f841(x67971,a831)),x67972),x67973),x67974)) % 153.71/153.54 [6799]~P134(f327(x67992,x67994))+P134(f327(f327(f327(f100(f841(x67991,a831)),x67992),x67993),x67994)) % 153.71/153.54 [6820]E(f327(f327(f146(x68201),f327(f327(f122(x68201),x68202),x68203)),x68204),f327(f327(f146(x68201),x68202),x68204))+~P134(f327(f327(f228(a834),x68204),f327(f177(f835(x68201)),x68202))) % 153.71/153.54 [6830]E(f327(f327(f3(f841(x68301,a831)),f327(f327(f297(x68301),x68302),x68303)),x68304),f327(f327(f3(f841(x68301,a831)),x68303),x68304))+~P134(f327(f327(f329(x68301),x68302),x68304)) % 153.71/153.54 [6874]~E(f126(a834,f327(f289(a834,x68741),x68742)),f327(f327(f136(a834),x68744),x68743))+E(f126(a834,f327(f289(a834,f327(f327(f84(a834),x68741),f82(a834))),x68742)),x68743) % 153.71/153.54 [6943]E(x69431,f2(a834))+E(f327(f327(f136(x69432),x69433),f327(f327(f155(x69432),f327(f327(f3(a834),x69431),f82(a834))),x69434)),f327(f327(f155(x69432),x69431),f327(f327(f136(x69432),x69433),x69434))) % 153.71/153.54 [7051]E(f327(f327(f146(x70511),x70512),f327(f327(f3(a834),x70513),f327(f177(f835(x70511)),x70514))),f327(f327(f146(x70511),f327(f327(f122(x70511),x70514),x70512)),x70513))+P134(f327(f327(f228(a834),x70513),f327(f177(f835(x70511)),x70514))) % 153.71/153.54 [7079]E(f327(f327(f101(f841(x70791,a831)),x70792),f327(f327(f297(x70791),x70793),x70794)),f327(f327(f297(x70791),x70793),f327(f327(f101(f841(x70791,a831)),x70792),x70794)))+~P134(f327(f327(f329(x70791),x70793),x70792)) % 153.71/153.54 [7114]E(f327(f327(f146(x71141),f327(f327(f143(x71141,x71142),x71143),x71144)),x71143),x71144)+~P134(f327(f327(f228(a834),x71143),f327(f177(f835(x71141)),x71142))) % 153.71/153.54 [7135]E(x71351,f176(f841(x71352,a831)))+E(f327(f298(f840(x71353,x71352),x71353,f235(x71353,x71352)),f327(f327(f243(x71353,x71352),x71354),f327(f18(f841(x71352,a831),x71353),x71351))),x71354) % 153.71/153.54 [7136]E(x71361,f176(f841(x71362,a831)))+E(f327(f298(f840(x71362,x71363),x71363,f245(x71362,x71363)),f327(f327(f243(x71362,x71363),x71361),f327(f18(f841(x71363,a831),x71362),x71364))),x71364) % 153.71/153.54 [7221]E(f327(f327(f3(f841(x72211,a831)),f327(f327(f297(x72211),x72212),x72213)),x72214),f327(f327(f297(x72211),x72212),f327(f327(f3(f841(x72211,a831)),x72213),x72214)))+P134(f327(f327(f329(x72211),x72212),x72214)) % 153.71/153.54 [7260]~E(x72604,f176(f841(x72602,a831)))+E(f327(f298(f840(x72601,x72602),x72601,f235(x72601,x72602)),f327(f327(f243(x72601,x72602),x72603),f327(f18(f841(x72602,a831),x72601),x72604))),f176(f841(x72601,a831))) % 153.71/153.54 [7261]~E(x72613,f176(f841(x72611,a831)))+E(f327(f298(f840(x72611,x72612),x72612,f245(x72611,x72612)),f327(f327(f243(x72611,x72612),x72613),f327(f18(f841(x72612,a831),x72611),x72614))),f176(f841(x72612,a831))) % 153.71/153.54 [7319]~P134(f327(f327(f329(x73191),x73192),x73194))+P134(f327(f327(f329(x73191),x73192),f327(f327(f100(f841(x73191,a831)),x73193),x73194))) % 153.71/153.54 [7322]~P134(f327(f327(f329(x73221),x73222),x73223))+P134(f327(f327(f329(x73221),x73222),f327(f327(f100(f841(x73221,a831)),x73223),x73224))) % 153.71/153.54 [7344]E(f327(f327(f101(f841(x73441,a831)),f327(f327(f297(x73441),x73442),x73443)),x73444),f327(f327(f297(x73441),x73442),f327(f327(f101(f841(x73441,a831)),x73443),x73444)))+~P134(f327(f327(f329(x73441),x73442),x73444)) % 153.71/153.54 [7620]P134(f327(x76201,x76202))+~P134(f327(f327(f327(f101(f841(x76203,a831)),x76204),x76201),x76202)) % 153.71/153.54 [7621]P134(f327(x76211,x76212))+~P134(f327(f327(f327(f101(f841(x76213,a831)),x76211),x76214),x76212)) % 153.71/153.54 [7624]E(f327(f327(f8(x76241,a834),x76242),f327(f327(f3(f841(x76241,a831)),x76243),f327(f327(f297(x76241),x76244),f176(f841(x76241,a831))))),f327(f327(f8(x76241,a834),x76242),x76243))+P134(f327(f327(f329(x76241),x76244),x76243)) % 153.71/153.54 [7629]~P65(x76291)+E(f327(f148(x76291),f327(f327(f138(a834,x76291),x76292),f126(a834,f327(f289(a834,x76293),x76294)))),f327(f327(f8(a834,x76291),x76292),f327(f154(a834),f126(a834,f327(f289(a834,x76293),x76294))))) % 153.71/153.54 [7630]~P65(x76301)+E(f327(f327(f8(a834,x76301),x76302),f327(f154(a834),f126(a834,f327(f289(a834,x76303),x76304)))),f327(f148(x76301),f327(f327(f138(a834,x76301),x76302),f126(a834,f327(f289(a834,x76303),x76304))))) % 153.71/153.54 [7743]~E(x77433,x77434)+P134(f327(f67(x77431,x77432,f327(f327(f297(x77431),x77433),f176(f841(x77431,a831)))),x77434)) % 153.71/153.54 [7840]P134(f327(f327(f329(x78401),x78402),f327(f154(x78401),x78403)))+~P134(f327(f327(f329(x78401),x78402),f327(f154(x78401),f327(f327(f155(x78401),x78404),x78403)))) % 153.71/153.54 [7841]P134(f327(f327(f329(x78411),x78412),f327(f154(x78411),x78413)))+~P134(f327(f327(f329(x78411),x78412),f327(f154(x78411),f327(f327(f125(x78411),x78414),x78413)))) % 153.71/153.54 [7912]P134(f327(f327(f329(x79121),x79122),x79123))+~P134(f327(f327(f329(x79121),x79122),f327(f327(f3(f841(x79121,a831)),x79123),x79124))) % 153.71/153.54 [7914]P134(f327(f327(f329(x79141),x79142),x79143))+~P134(f327(f327(f329(x79141),x79142),f327(f327(f101(f841(x79141,a831)),x79144),x79143))) % 153.71/153.54 [7917]P134(f327(f327(f329(x79171),x79172),x79173))+~P134(f327(f327(f329(x79171),x79172),f327(f327(f101(f841(x79171,a831)),x79173),x79174))) % 153.71/153.54 [7931]E(f327(f327(f122(x79311),f327(f327(f155(x79311),x79312),x79313)),f327(f327(f136(x79311),x79314),f327(f327(f125(x79311),f327(a111,x79312)),x79313))),f327(f327(f143(x79311,x79313),x79312),x79314))+~P134(f327(f327(f228(a834),x79312),f327(f177(f835(x79311)),x79313))) % 153.71/153.54 [7952]P134(f327(f327(f329(x79521),x79522),x79523))+~P134(f327(f327(f227(f841(x79521,a831)),f327(f327(f297(x79521),x79522),x79524)),x79523)) % 153.71/153.54 [7983]~P134(f327(f327(f329(x79831),x79832),x79833))+~P134(f327(f327(f329(x79831),x79832),f327(f327(f3(f841(x79831,a831)),x79834),x79833))) % 153.71/153.54 [8015]~P134(f327(f327(f228(a834),x80154),f327(f177(f835(x80151)),x80153)))+P134(f327(f327(f329(x80151),x80152),f327(f154(x80151),f327(f327(f143(x80151,x80153),x80154),x80152)))) % 153.71/153.54 [8066]E(f327(f327(f146(x80661),f327(f327(f125(x80661),x80662),x80663)),x80664),f327(f327(f146(x80661),x80663),f327(f327(f84(a834),x80662),x80664)))+~P134(f327(f327(f227(a834),f327(f327(f84(a834),x80662),x80664)),f327(f177(f835(x80661)),x80663))) % 153.71/153.54 [8075]~P1(x80752)+E(f327(f327(f8(x80751,x80752),f327(f327(f10(a834,x80752,x80751),f99(x80752)),x80753)),x80754),f327(f99(x80752),f327(f327(f8(x80751,a834),x80753),x80754))) % 153.71/153.54 [8076]~P130(x80762)+E(f327(f327(f8(x80761,x80762),f327(f327(f10(a1,x80762,x80761),f102(x80762)),x80763)),x80764),f327(f102(x80762),f327(f327(f8(x80761,a1),x80763),x80764))) % 153.71/153.54 [8128]~P61(x81282)+E(f327(f327(f11(x81281,x81282),f327(f327(f10(x81282,x81282,x81281),f79(x81282)),x81283)),x81284),f327(f79(x81282),f327(f327(f11(x81281,x81282),x81283),x81284))) % 153.71/153.54 [8129]~P6(x81292)+E(f327(f327(f8(x81291,x81292),f327(f327(f10(x81292,x81292,x81291),f83(x81292)),x81293)),x81294),f327(f83(x81292),f327(f327(f8(x81291,x81292),x81293),x81294))) % 153.71/153.54 [8131]E(f327(f327(f8(x81311,a834),x81312),f327(f327(f3(f841(x81311,a831)),x81313),f327(f327(f297(x81311),x81314),f176(f841(x81311,a831))))),f327(f327(f3(a834),f327(f327(f8(x81311,a834),x81312),x81313)),f327(x81312,x81314)))+~P134(f327(f327(f329(x81311),x81314),x81313)) % 153.71/153.54 [8150]P134(f327(f327(f227(f841(x81501,a831)),x81502),x81503))+~P134(f327(f327(f227(f841(x81501,a831)),f327(f327(f297(x81501),x81504),x81502)),x81503)) % 153.71/153.54 [8350]P33(x83501,x83502)+~P33(x83501,f327(f327(f297(f840(x83501,x83501)),f327(f327(f236(x83501,x83501),x83503),x83504)),x83502)) % 153.71/153.54 [8351]P54(x83511,x83512)+~P54(x83511,f327(f327(f297(f840(x83511,x83511)),f327(f327(f236(x83511,x83511),x83513),x83514)),x83512)) % 153.71/153.54 [8356]~P97(x83561)+E(f327(f327(f134(x83561,x83561,f7(x83561)),x83562),f327(f327(f134(x83561,x83561,f7(x83561)),x83563),x83564)),f327(f327(f134(x83561,x83561,f7(x83561)),x83563),f327(f327(f134(x83561,x83561,f7(x83561)),x83562),x83564))) % 153.71/153.54 [8366]E(x83661,x83662)+~P134(f327(f67(x83663,x83664,f327(f327(f297(x83663),x83661),f176(f841(x83663,a831)))),x83662)) % 153.71/153.54 [8371]E(f327(f162(x83711,x83712,x83713),x83714),f179(x83712))+P134(f327(f327(f329(x83711),x83714),f327(f298(f840(x83711,x83712),x83711,f235(x83711,x83712)),f327(f154(f840(x83711,x83712)),x83713)))) % 153.71/153.54 [8377]E(f327(f327(f122(x83771),f327(f327(f155(x83771),x83772),x83773)),f327(f327(f155(x83771),x83774),f327(f327(f125(x83771),x83772),x83773))),f327(f327(f155(x83771),f327(f327(f84(a834),x83772),x83774)),x83773))+~P134(f327(f327(f227(a834),f327(f327(f84(a834),x83772),x83774)),f327(f177(f835(x83771)),x83773))) % 153.71/153.54 [8418]P134(f327(f66(x84181),x84182))+~E(x84182,f327(f298(a834,x84181,x84183),f327(f251(a834),f327(f327(f9(a834,a834,a831),f228(a834)),x84184)))) % 153.71/153.54 [8438]~P80(x84381)+E(f327(f128(x84381,x84381,f84(x84381),f327(f327(f84(x84381),x84382),x84383)),x84384),f327(f327(f84(x84381),x84382),f327(f128(x84381,x84381,f84(x84381),x84383),x84384))) % 153.71/153.54 [8470]P134(f327(f327(f227(f841(x84701,a831)),f327(f256(x84701,x84702),x84703)),f327(f256(x84701,x84702),x84704)))+~P134(f327(f327(f227(f841(f840(x84701,x84702),a831)),x84703),x84704)) % 153.71/153.54 [8481]~P134(f327(f327(f227(a834),x84812),x84814))+P134(f327(f327(f227(f841(x84811,a831)),f327(f154(x84811),f327(f327(f155(x84811),x84812),x84813))),f327(f154(x84811),f327(f327(f155(x84811),x84814),x84813)))) % 153.71/153.54 [8482]~P134(f327(f327(f227(a834),x84824),x84822))+P134(f327(f327(f227(f841(x84821,a831)),f327(f154(x84821),f327(f327(f125(x84821),x84822),x84823))),f327(f154(x84821),f327(f327(f125(x84821),x84824),x84823)))) % 153.71/153.54 [8525]~P134(f327(f66(x85251),f327(f327(f3(f841(x85251,a831)),x85252),x85254)))+P134(f327(f66(x85251),f327(f327(f3(f841(x85251,a831)),x85252),f327(f327(f297(x85251),x85253),x85254)))) % 153.71/153.54 [8559]P134(f327(f327(f329(f840(x85591,x85591)),x85592),f295(x85591,x85593)))+~P134(f327(f327(f329(f840(x85591,x85591)),x85592),f327(f327(f169(f840(x85591,x85591),a831),x85594),x85593))) % 153.71/153.54 [8635]~P134(f327(f66(x86351),f327(f327(f3(f841(x86351,a831)),x86352),f327(f327(f297(x86351),x86354),x86353))))+P134(f327(f66(x86351),f327(f327(f3(f841(x86351,a831)),x86352),x86353))) % 153.71/153.54 [8776]~E(f327(f162(x87761,x87762,x87763),x87764),f179(x87762))+~P134(f327(f327(f329(x87761),x87764),f327(f298(f840(x87761,x87762),x87761,f235(x87761,x87762)),f327(f154(f840(x87761,x87762)),x87763)))) % 153.71/153.54 [8813]~P97(x88131)+P134(f327(f327(f227(x88131),f327(f327(f175(x88131),x88132),f327(f327(f231(x88131),x88133),x88134))),f327(f327(f231(x88131),f327(f327(f175(x88131),x88132),x88133)),f327(f327(f175(x88131),x88132),x88134)))) % 153.71/153.54 [8814]~P89(x88141)+P134(f327(f327(f227(x88141),f327(f327(f100(x88141),x88142),f327(f327(f101(x88141),x88143),x88144))),f327(f327(f101(x88141),f327(f327(f100(x88141),x88142),x88143)),f327(f327(f100(x88141),x88142),x88144)))) % 153.71/153.54 [8954]E(x89541,x89542)+~P134(f327(f327(f329(f840(x89543,x89543)),f327(f327(f236(x89543,x89543),x89541),x89542)),f327(f154(f840(x89543,x89543)),f327(f327(f163(x89543,x89543),x89544),x89544)))) % 153.71/153.54 [8983]~P134(f327(f327(f329(f840(x89831,x89831)),f327(f327(f236(x89831,x89831),x89833),x89832)),f295(x89831,x89834)))+~P33(x89831,f327(f327(f297(f840(x89831,x89831)),f327(f327(f236(x89831,x89831),x89832),x89833)),x89834)) % 153.71/153.54 [8984]~P134(f327(f327(f329(f840(x89841,x89841)),f327(f327(f236(x89841,x89841),x89843),x89842)),f295(x89841,x89844)))+~P54(x89841,f327(f327(f297(f840(x89841,x89841)),f327(f327(f236(x89841,x89841),x89842),x89843)),x89844)) % 153.71/153.54 [9028]~P97(x90281)+P134(f327(f327(f227(x90281),f327(f327(f175(x90281),f327(f327(f231(x90281),x90282),x90283)),f327(f327(f231(x90281),x90282),x90284))),f327(f327(f231(x90281),x90282),f327(f327(f175(x90281),x90283),x90284)))) % 153.71/153.54 [9029]~P89(x90291)+P134(f327(f327(f227(x90291),f327(f327(f100(x90291),f327(f327(f101(x90291),x90292),x90293)),f327(f327(f101(x90291),x90292),x90294))),f327(f327(f101(x90291),x90292),f327(f327(f100(x90291),x90293),x90294)))) % 153.71/153.54 [9092]~E(f327(f298(x90922,x90921,x90923),f234(f841(x90922,a831))),f234(f841(x90921,a831)))+P134(f327(f327(f227(f841(x90921,a831)),f327(f83(f841(x90921,a831)),f327(f298(x90922,x90921,x90923),x90924))),f327(f298(x90922,x90921,x90923),f327(f83(f841(x90922,a831)),x90924)))) % 153.71/153.54 [9395]P134(f327(f327(f329(f840(x93951,x93951)),f327(f327(f236(x93951,x93951),x93952),x93953)),f327(f273(x93951,x93951),f327(f327(f276(x93951,x93951,x93951),x93954),f295(x93951,x93954)))))+~P134(f327(f327(f329(f840(x93951,x93951)),f327(f327(f236(x93951,x93951),x93952),x93953)),f327(f327(f276(x93951,x93951,x93951),f327(f273(x93951,x93951),x93954)),f295(x93951,f327(f273(x93951,x93951),x93954))))) % 153.71/153.54 [9396]~P134(f327(f327(f329(f840(x93961,x93961)),f327(f327(f236(x93961,x93961),x93962),x93963)),f327(f273(x93961,x93961),f327(f327(f276(x93961,x93961,x93961),x93964),f295(x93961,x93964)))))+P134(f327(f327(f329(f840(x93961,x93961)),f327(f327(f236(x93961,x93961),x93962),x93963)),f327(f327(f276(x93961,x93961,x93961),f327(f273(x93961,x93961),x93964)),f295(x93961,f327(f273(x93961,x93961),x93964))))) % 153.71/153.54 [9421]~P134(f327(f327(f329(x94212),x94214),f327(f254(x94211,x94212),x94213)))+P134(f327(f327(f329(f840(x94211,x94212)),f327(f327(f236(x94211,x94212),f572(x94213,x94211,x94214,x94212)),x94214)),x94213)) % 153.71/153.54 [9422]~P134(f327(f327(f329(x94222),x94224),f327(f254(x94221,x94222),x94223)))+P134(f327(f327(f329(f840(x94221,x94222)),f327(f327(f236(x94221,x94222),f573(x94223,x94221,x94224,x94222)),x94224)),x94223)) % 153.71/153.54 [9441]~P134(f327(f327(f329(x94411),x94414),f327(f327(f100(f841(x94411,a831)),x94412),x94413)))+P134(f327(f327(f327(f100(f841(x94411,a831)),f327(f327(f9(x94411,f841(x94411,a831),a831),f329(x94411)),x94412)),f327(f327(f9(x94411,f841(x94411,a831),a831),f329(x94411)),x94413)),x94414)) % 153.71/153.54 [9442]~P134(f327(f327(f329(x94421),x94424),f327(f327(f101(f841(x94421,a831)),x94422),x94423)))+P134(f327(f327(f327(f101(f841(x94421,a831)),f327(f327(f9(x94421,f841(x94421,a831),a831),f329(x94421)),x94422)),f327(f327(f9(x94421,f841(x94421,a831),a831),f329(x94421)),x94423)),x94424)) % 153.71/153.54 [9517]~P134(f327(f327(f329(f840(x95171,x95171)),f327(f327(f236(x95171,x95171),x95174),x95173)),f327(f327(f276(x95171,x95171,x95171),x95172),f295(x95171,x95172))))+P134(f327(f327(f329(f840(x95171,x95171)),f327(f327(f236(x95171,x95171),f674(x95172,x95173,x95174,x95171)),x95173)),x95172)) % 153.71/153.54 [9552]P134(f327(f327(f329(x95521),x95522),f327(f327(f100(f841(x95521,a831)),x95523),x95524)))+~P134(f327(f327(f327(f100(f841(x95521,a831)),f327(f327(f9(x95521,f841(x95521,a831),a831),f329(x95521)),x95523)),f327(f327(f9(x95521,f841(x95521,a831),a831),f329(x95521)),x95524)),x95522)) % 153.71/153.54 [9553]P134(f327(f327(f329(x95531),x95532),f327(f327(f101(f841(x95531,a831)),x95533),x95534)))+~P134(f327(f327(f327(f101(f841(x95531,a831)),f327(f327(f9(x95531,f841(x95531,a831),a831),f329(x95531)),x95533)),f327(f327(f9(x95531,f841(x95531,a831),a831),f329(x95531)),x95534)),x95532)) % 153.71/153.54 [9829]P31(x98291,f327(f327(f9(x98291,f841(f840(x98291,x98291),a831),f841(x98291,a831)),f327(f327(f10(f841(x98291,f841(f841(f840(x98291,x98291),a831),a831)),f841(f841(f840(x98291,x98291),a831),f841(x98291,a831)),x98291),f9(x98291,f841(f840(x98291,x98291),a831),a831)),f327(f327(f10(f841(x98291,f840(x98291,x98291)),f841(x98291,f841(f841(f840(x98291,x98291),a831),a831)),x98291),f327(f10(f840(x98291,x98291),f841(f841(f840(x98291,x98291),a831),a831),x98291),f329(f840(x98291,x98291)))),f236(x98291,x98291)))),x98292),x98293,x98294)+~P134(f327(f327(f329(f840(f835(x98291),f835(x98291))),f327(f327(f236(f835(x98291),f835(x98291)),x98293),x98294)),f142(x98291,x98292))) % 153.71/153.54 [9833]P55(x98331,f327(f327(f9(x98331,f841(f840(x98331,x98331),a831),f841(x98331,a831)),f327(f327(f10(f841(x98331,f841(f841(f840(x98331,x98331),a831),a831)),f841(f841(f840(x98331,x98331),a831),f841(x98331,a831)),x98331),f9(x98331,f841(f840(x98331,x98331),a831),a831)),f327(f327(f10(f841(x98331,f840(x98331,x98331)),f841(x98331,f841(f841(f840(x98331,x98331),a831),a831)),x98331),f327(f10(f840(x98331,x98331),f841(f841(f840(x98331,x98331),a831),a831),x98331),f329(f840(x98331,x98331)))),f236(x98331,x98331)))),x98332),x98333,x98334)+~P134(f327(f327(f329(f840(f841(x98331,a831),f841(x98331,a831))),f327(f327(f236(f841(x98331,a831),f841(x98331,a831)),x98333),x98334)),f320(x98331,x98332))) % 153.71/153.54 [9859]E(x98591,x98592)+~E(f327(f327(f9(x98593,f841(f840(x98593,x98594),a831),f841(x98594,a831)),f327(f327(f10(f841(x98594,f841(f841(f840(x98593,x98594),a831),a831)),f841(f841(f840(x98593,x98594),a831),f841(x98594,a831)),x98593),f9(x98594,f841(f840(x98593,x98594),a831),a831)),f327(f327(f10(f841(x98594,f840(x98593,x98594)),f841(x98594,f841(f841(f840(x98593,x98594),a831),a831)),x98593),f327(f10(f840(x98593,x98594),f841(f841(f840(x98593,x98594),a831),a831),x98594),f329(f840(x98593,x98594)))),f236(x98593,x98594)))),x98591),f327(f327(f9(x98593,f841(f840(x98593,x98594),a831),f841(x98594,a831)),f327(f327(f10(f841(x98594,f841(f841(f840(x98593,x98594),a831),a831)),f841(f841(f840(x98593,x98594),a831),f841(x98594,a831)),x98593),f9(x98594,f841(f840(x98593,x98594),a831),a831)),f327(f327(f10(f841(x98594,f840(x98593,x98594)),f841(x98594,f841(f841(f840(x98593,x98594),a831),a831)),x98593),f327(f10(f840(x98593,x98594),f841(f841(f840(x98593,x98594),a831),a831),x98594),f329(f840(x98593,x98594)))),f236(x98593,x98594)))),x98592)) % 153.71/153.54 [9862]~P31(x98621,f327(f327(f9(x98621,f841(f840(x98621,x98621),a831),f841(x98621,a831)),f327(f327(f10(f841(x98621,f841(f841(f840(x98621,x98621),a831),a831)),f841(f841(f840(x98621,x98621),a831),f841(x98621,a831)),x98621),f9(x98621,f841(f840(x98621,x98621),a831),a831)),f327(f327(f10(f841(x98621,f840(x98621,x98621)),f841(x98621,f841(f841(f840(x98621,x98621),a831),a831)),x98621),f327(f10(f840(x98621,x98621),f841(f841(f840(x98621,x98621),a831),a831),x98621),f329(f840(x98621,x98621)))),f236(x98621,x98621)))),x98624),x98622,x98623)+P134(f327(f327(f329(f840(f835(x98621),f835(x98621))),f327(f327(f236(f835(x98621),f835(x98621)),x98622),x98623)),f142(x98621,x98624))) % 153.71/153.54 [9863]~P55(x98631,f327(f327(f9(x98631,f841(f840(x98631,x98631),a831),f841(x98631,a831)),f327(f327(f10(f841(x98631,f841(f841(f840(x98631,x98631),a831),a831)),f841(f841(f840(x98631,x98631),a831),f841(x98631,a831)),x98631),f9(x98631,f841(f840(x98631,x98631),a831),a831)),f327(f327(f10(f841(x98631,f840(x98631,x98631)),f841(x98631,f841(f841(f840(x98631,x98631),a831),a831)),x98631),f327(f10(f840(x98631,x98631),f841(f841(f840(x98631,x98631),a831),a831),x98631),f329(f840(x98631,x98631)))),f236(x98631,x98631)))),x98634),x98632,x98633)+P134(f327(f327(f329(f840(f841(x98631,a831),f841(x98631,a831))),f327(f327(f236(f841(x98631,a831),f841(x98631,a831)),x98632),x98633)),f320(x98631,x98634))) % 153.71/153.54 [7391]~P85(x73911)+E(f327(f327(f84(x73911),f327(f103(x73911),x73912)),f327(f327(f84(x73911),f327(f103(x73911),x73913)),x73914)),f327(f327(f84(x73911),f327(f103(x73911),f327(f327(f84(a1),x73912),x73913))),x73914)) % 153.71/153.54 [7392]~P85(x73921)+E(f327(f327(f84(x73921),f327(f103(x73921),x73922)),f327(f327(f3(x73921),f327(f103(x73921),x73923)),x73924)),f327(f327(f3(x73921),f327(f103(x73921),f327(f327(f84(a1),x73922),x73923))),x73924)) % 153.71/153.54 [7393]~P85(x73931)+E(f327(f327(f85(x73931),f327(f103(x73931),x73932)),f327(f327(f85(x73931),f327(f103(x73931),x73933)),x73934)),f327(f327(f85(x73931),f327(f103(x73931),f327(f327(f85(a1),x73932),x73933))),x73934)) % 153.71/153.54 [7438]~P1(x74381)+E(f327(f148(x74381),f327(f327(f138(x74382,x74381),f327(f18(x74381,x74382),x74383)),x74384)),f327(f327(f85(x74381),f327(f99(x74381),f327(f177(f835(x74382)),x74384))),x74383)) % 153.71/153.54 [7675]E(f327(f260(x76751,f327(f327(f136(f840(a98,x76751)),x76752),x76753)),x76754),f327(f245(a98,x76751),x76752))+~P134(f327(f327(f228(a98),x76754),f327(f235(a98,x76751),x76752))) % 153.71/153.54 [7720]~P85(x77201)+E(f327(f327(f84(x77201),f327(f103(x77201),x77202)),f327(f327(f3(x77201),x77203),f327(f103(x77201),x77204))),f327(f327(f84(x77201),f327(f103(x77201),f327(f327(f84(a1),x77202),f327(f83(a1),x77204)))),x77203)) % 153.71/153.54 [7852]E(f327(f260(x78521,x78522),f327(f327(f3(a98),x78523),f327(f235(a98,x78521),x78524))),f327(f260(x78521,f327(f327(f136(f840(a98,x78521)),x78524),x78522)),x78523))+P134(f327(f327(f228(a98),x78523),f327(f235(a98,x78521),x78524))) % 153.71/153.54 [8274]~P134(f327(f327(f329(x82741),x82742),f327(f154(x82741),f113(x82741,x82744))))+P134(f327(f327(f329(x82741),x82742),f327(f154(x82741),f113(x82741,f327(f327(f122(x82741),x82743),x82744))))) % 153.71/153.54 [8275]~P134(f327(f327(f329(x82751),x82752),f327(f154(x82751),f113(x82751,x82753))))+P134(f327(f327(f329(x82751),x82752),f327(f154(x82751),f113(x82751,f327(f327(f122(x82751),x82753),x82754))))) % 153.71/153.54 [8294]E(f327(f327(f100(f841(x82941,a831)),f327(f327(f101(f841(x82941,a831)),x82942),x82943)),x82944),f327(f327(f101(f841(x82941,a831)),x82942),f327(f327(f100(f841(x82941,a831)),x82943),x82944)))+~P134(f327(f327(f227(f841(x82941,a831)),x82944),x82942)) % 153.71/153.54 [8572]~E(f327(f327(f100(f841(x85721,a831)),f327(f327(f101(f841(x85721,a831)),x85723),x85724)),x85722),f327(f327(f101(f841(x85721,a831)),x85723),f327(f327(f100(f841(x85721,a831)),x85724),x85722)))+P134(f327(f327(f227(f841(x85721,a831)),x85722),x85723)) % 153.71/153.54 [8818]~P134(f327(f327(f227(f841(x88181,a831)),x88182),f327(f327(f100(f841(x88181,a831)),x88183),x88184)))+P134(f327(f327(f227(f841(x88181,a831)),f327(f327(f3(f841(x88181,a831)),x88182),x88183)),x88184)) % 153.71/153.54 [8935]P134(f327(f327(f227(f841(x89351,a831)),x89352),f327(f327(f100(f841(x89351,a831)),x89353),x89354)))+~P134(f327(f327(f227(f841(x89351,a831)),f327(f327(f3(f841(x89351,a831)),x89352),x89353)),x89354)) % 153.71/153.54 [9010]~P76(x90101)+E(f327(f79(x90101),f327(f327(f8(x90102,x90101),f327(f327(f10(x90101,x90101,x90102),f79(x90101)),x90103)),x90104)),f327(f327(f8(x90102,x90101),f327(f327(f10(x90101,x90101,x90102),f79(x90101)),x90103)),x90104)) % 153.71/153.54 [9157]~P76(x91571)+P134(f327(f327(f227(x91571),f2(x91571)),f327(f327(f8(x91572,x91571),f327(f327(f10(x91571,x91571,x91572),f79(x91571)),x91573)),x91574))) % 153.71/153.54 [9160]~P6(x91601)+E(f327(f148(x91601),f327(f327(f138(x91602,x91601),f327(f77(x91601,x91601,x91602,f83(x91601)),x91603)),x91604)),f327(f83(x91601),f327(f148(x91601),f327(f327(f138(x91602,x91601),x91603),x91604)))) % 153.71/153.54 [9294]~P76(x92941)+P134(f327(f327(f227(x92941),f327(f79(x92941),f327(f327(f8(x92942,x92941),x92943),x92944))),f327(f327(f8(x92942,x92941),f327(f327(f10(x92941,x92941,x92942),f79(x92941)),x92943)),x92944))) % 153.71/153.54 [9322]~E(f327(f327(f84(a834),x93221),x93224),f327(f327(f84(a834),x93223),x93222))+P134(f327(f327(f329(f840(f840(a834,a834),f840(a834,a834))),f327(f327(f236(f840(a834,a834),f840(a834,a834)),f327(f327(f236(a834,a834),x93221),x93222)),f327(f327(f236(a834,a834),x93223),x93224))),a108)) % 153.71/153.54 [9323]~P134(f327(f327(f228(a834),x93231),x93233))+P134(f327(f327(f329(f840(f840(a834,a834),f840(a834,a834))),f327(f327(f236(f840(a834,a834),f840(a834,a834)),f327(f327(f236(a834,a834),x93231),x93232)),f327(f327(f236(a834,a834),x93233),x93234))),a40)) % 153.71/153.54 [9324]~P134(f327(f327(f228(a834),x93241),x93243))+P134(f327(f327(f329(f840(f840(a834,a834),f840(a834,a834))),f327(f327(f236(f840(a834,a834),f840(a834,a834)),f327(f327(f236(a834,a834),x93241),x93242)),f327(f327(f236(a834,a834),x93243),x93244))),a74)) % 153.71/153.54 [9465]E(f327(f327(f84(a834),x94651),x94652),f327(f327(f84(a834),x94653),x94654))+~P134(f327(f327(f329(f840(f840(a834,a834),f840(a834,a834))),f327(f327(f236(f840(a834,a834),f840(a834,a834)),f327(f327(f236(a834,a834),x94651),x94654)),f327(f327(f236(a834,a834),x94653),x94652))),a108)) % 153.71/153.54 [9490]E(f327(f327(f146(x94901),f327(f327(f125(x94901),f327(f177(f835(x94901)),f158(x94901,x94902,x94903))),x94903)),x94904),f327(f327(f146(x94901),x94903),f327(f327(f84(a834),x94904),f327(f177(f835(x94901)),f158(x94901,x94902,x94903)))))+~P134(f327(f327(f228(a834),x94904),f327(f177(f835(x94901)),f327(f327(f125(x94901),f327(f177(f835(x94901)),f158(x94901,x94902,x94903))),x94903)))) % 153.71/153.54 [9510]~P134(f327(f327(f329(x95102),x95104),f327(f327(f47(x95101,f841(x95102,a831)),f234(f841(x95101,a831))),x95103)))+P134(f327(f327(f327(f47(x95101,f841(x95102,a831)),f234(f841(x95101,a831))),f327(f327(f10(f841(x95102,a831),f841(x95102,a831),x95101),f327(f9(x95102,f841(x95102,a831),a831),f329(x95102))),x95103)),x95104)) % 153.71/153.54 [9511]~P134(f327(f327(f329(x95112),x95114),f327(f327(f48(x95111,f841(x95112,a831)),f234(f841(x95111,a831))),x95113)))+P134(f327(f327(f327(f48(x95111,f841(x95112,a831)),f234(f841(x95111,a831))),f327(f327(f10(f841(x95112,a831),f841(x95112,a831),x95111),f327(f9(x95112,f841(x95112,a831),a831),f329(x95112))),x95113)),x95114)) % 153.71/153.54 [9576]~P134(f327(f57(x95761,x95762),f327(f327(f236(a1,a1),x95764),x95763)))+P134(f327(f57(f327(f83(a1),x95761),x95762),f327(f327(f236(a1,a1),f327(f327(f327(f95(a1),f327(f327(a324,x95763),f2(a1))),f327(f83(a1),x95764)),f327(f327(f3(a1),f327(f83(a1),x95764)),f82(a1)))),f327(f327(f327(f95(a1),f327(f327(a324,x95763),f2(a1))),f2(a1)),f327(f327(f3(a1),x95762),x95763))))) % 153.71/153.54 [9585]P134(f327(f327(f329(x95851),x95852),f327(f327(f47(x95853,f841(x95851,a831)),f234(f841(x95853,a831))),x95854)))+~P134(f327(f327(f327(f47(x95853,f841(x95851,a831)),f234(f841(x95853,a831))),f327(f327(f10(f841(x95851,a831),f841(x95851,a831),x95853),f327(f9(x95851,f841(x95851,a831),a831),f329(x95851))),x95854)),x95852)) % 153.71/153.54 [9586]P134(f327(f327(f329(x95861),x95862),f327(f327(f48(x95863,f841(x95861,a831)),f234(f841(x95863,a831))),x95864)))+~P134(f327(f327(f327(f48(x95863,f841(x95861,a831)),f234(f841(x95863,a831))),f327(f327(f10(f841(x95861,a831),f841(x95861,a831),x95863),f327(f9(x95861,f841(x95861,a831),a831),f329(x95861))),x95864)),x95862)) % 153.71/153.54 [9597]E(f327(f327(f47(a834,f841(x95971,a831)),f234(f841(a834,a831))),x95972),f327(f327(f47(a834,f841(x95971,a831)),f234(f841(a834,a831))),x95973))+~E(f327(f327(f47(a834,f841(x95971,a831)),f327(f289(a834,f2(a834)),f385(x95972,x95974,x95973,x95971))),x95973),f327(f327(f47(a834,f841(x95971,a831)),f327(f289(a834,f2(a834)),f327(f327(f84(a834),f385(x95972,x95974,x95973,x95971)),x95974))),x95972)) % 153.71/153.54 [9923]~P134(f327(f327(f227(f841(f840(x99231,x99232),a831)),x99233),x99234))+P134(f327(f327(f227(f841(x99231,f841(x99232,a831))),f327(f327(f9(x99231,f841(f840(x99231,x99232),a831),f841(x99232,a831)),f327(f327(f10(f841(x99232,f841(f841(f840(x99231,x99232),a831),a831)),f841(f841(f840(x99231,x99232),a831),f841(x99232,a831)),x99231),f9(x99232,f841(f840(x99231,x99232),a831),a831)),f327(f327(f10(f841(x99232,f840(x99231,x99232)),f841(x99232,f841(f841(f840(x99231,x99232),a831),a831)),x99231),f327(f10(f840(x99231,x99232),f841(f841(f840(x99231,x99232),a831),a831),x99232),f329(f840(x99231,x99232)))),f236(x99231,x99232)))),x99233)),f327(f327(f9(x99231,f841(f840(x99231,x99232),a831),f841(x99232,a831)),f327(f327(f10(f841(x99232,f841(f841(f840(x99231,x99232),a831),a831)),f841(f841(f840(x99231,x99232),a831),f841(x99232,a831)),x99231),f9(x99232,f841(f840(x99231,x99232),a831),a831)),f327(f327(f10(f841(x99232,f840(x99231,x99232)),f841(x99232,f841(f841(f840(x99231,x99232),a831),a831)),x99231),f327(f10(f840(x99231,x99232),f841(f841(f840(x99231,x99232),a831),a831),x99232),f329(f840(x99231,x99232)))),f236(x99231,x99232)))),x99234))) % 153.71/153.54 [9938]P134(f327(f327(f227(f841(f840(x99381,x99382),a831)),x99383),x99384))+~P134(f327(f327(f227(f841(x99381,f841(x99382,a831))),f327(f327(f9(x99381,f841(f840(x99381,x99382),a831),f841(x99382,a831)),f327(f327(f10(f841(x99382,f841(f841(f840(x99381,x99382),a831),a831)),f841(f841(f840(x99381,x99382),a831),f841(x99382,a831)),x99381),f9(x99382,f841(f840(x99381,x99382),a831),a831)),f327(f327(f10(f841(x99382,f840(x99381,x99382)),f841(x99382,f841(f841(f840(x99381,x99382),a831),a831)),x99381),f327(f10(f840(x99381,x99382),f841(f841(f840(x99381,x99382),a831),a831),x99382),f329(f840(x99381,x99382)))),f236(x99381,x99382)))),x99383)),f327(f327(f9(x99381,f841(f840(x99381,x99382),a831),f841(x99382,a831)),f327(f327(f10(f841(x99382,f841(f841(f840(x99381,x99382),a831),a831)),f841(f841(f840(x99381,x99382),a831),f841(x99382,a831)),x99381),f9(x99382,f841(f840(x99381,x99382),a831),a831)),f327(f327(f10(f841(x99382,f840(x99381,x99382)),f841(x99382,f841(f841(f840(x99381,x99382),a831),a831)),x99381),f327(f10(f840(x99381,x99382),f841(f841(f840(x99381,x99382),a831),a831),x99382),f329(f840(x99381,x99382)))),f236(x99381,x99382)))),x99384))) % 153.71/153.54 [9055]~P134(f327(f327(f329(f840(x90551,x90551)),x90552),f295(x90551,x90554)))+P134(f327(f327(f329(f840(x90551,x90551)),x90552),f295(x90551,f327(f327(f100(f841(f840(x90551,x90551),a831)),x90553),x90554)))) % 153.71/153.54 [9056]~P134(f327(f327(f329(f840(x90561,x90561)),x90562),f295(x90561,x90563)))+P134(f327(f327(f329(f840(x90561,x90561)),x90562),f295(x90561,f327(f327(f100(f841(f840(x90561,x90561),a831)),x90563),x90564)))) % 153.71/153.54 [9387]~E(f327(f154(x93871),x93874),f165(x93871,x93872,x93873))+E(f162(x93871,x93872,f327(f327(f138(x93871,f840(x93871,x93872)),f327(f327(f20(x93871,x93872,f840(x93871,x93872)),f236(x93871,x93872)),f327(f327(f10(f838(x93872),x93872,x93871),f226(x93872)),x93873))),x93874)),x93873) % 153.71/153.54 [9679]~P134(f327(f327(f228(a834),f327(f327(f84(a834),x96791),x96794)),f327(f327(f84(a834),x96793),x96792)))+P134(f327(f327(f228(a1),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x96791),x96792)),f176(f841(f840(a834,a834),a831)))))),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x96793),x96794)),f176(f841(f840(a834,a834),a831))))))) % 153.71/153.54 [9680]~P134(f327(f327(f227(a834),f327(f327(f84(a834),x96801),x96804)),f327(f327(f84(a834),x96803),x96802)))+P134(f327(f327(f227(a1),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x96801),x96802)),f176(f841(f840(a834,a834),a831)))))),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x96803),x96804)),f176(f841(f840(a834,a834),a831))))))) % 153.71/153.54 [9769]P134(f327(f327(f228(a834),f327(f327(f84(a834),x97691),x97692)),f327(f327(f84(a834),x97693),x97694)))+~P134(f327(f327(f228(a1),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x97691),x97694)),f176(f841(f840(a834,a834),a831)))))),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x97693),x97692)),f176(f841(f840(a834,a834),a831))))))) % 153.71/153.54 [9770]P134(f327(f327(f227(a834),f327(f327(f84(a834),x97701),x97702)),f327(f327(f84(a834),x97703),x97704)))+~P134(f327(f327(f227(a1),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x97701),x97704)),f176(f841(f840(a834,a834),a831)))))),f327(a93,f327(f272(f840(a834,a834),f840(a834,a834),a108),f327(f327(f297(f840(a834,a834)),f327(f327(f236(a834,a834),x97703),x97702)),f176(f841(f840(a834,a834),a831))))))) % 153.71/153.54 [9815]P134(f327(f327(f227(f841(x98151,a831)),f327(f327(f47(a834,f841(x98151,a831)),f234(f841(a834,a831))),x98152)),f327(f327(f47(a834,f841(x98151,a831)),f234(f841(a834,a831))),x98153)))+~P134(f327(f327(f227(f841(x98151,a831)),f327(f327(f47(a834,f841(x98151,a831)),f327(f289(a834,f2(a834)),f386(x98153,x98154,x98152,x98151))),x98152)),f327(f327(f47(a834,f841(x98151,a831)),f327(f289(a834,f2(a834)),f327(f327(f84(a834),f386(x98153,x98154,x98152,x98151)),x98154))),x98153))) % 153.71/153.54 [9865]P134(f327(f327(f227(a98),x98654),f2(a98)))+E(f327(f327(f248(f840(a98,a98),f840(x98651,f841(a837,a830)),f840(a98,a98),f840(f841(a98,f841(a831,f838(f836(x98651)))),f840(a98,a98))),f327(x98652,x98653)),f327(f327(f10(f841(f841(a98,f841(a831,f838(f836(x98651)))),f841(f840(a98,a98),f840(f841(a98,f841(a831,f838(f836(x98651)))),f840(a98,a98)))),f841(f840(a98,a98),f840(f841(a98,f841(a831,f838(f836(x98651)))),f840(a98,a98))),f840(x98651,f841(a837,a830))),f327(f248(f840(a98,a98),f841(a98,f841(a831,f838(f836(x98651)))),f840(a98,a98),f840(f841(a98,f841(a831,f838(f836(x98651)))),f840(a98,a98))),f267(x98651,x98652,f327(f327(f3(a98),x98654),f82(a98)),x98653))),f327(f327(f10(f841(f841(a98,f841(a831,f838(f836(x98651)))),f841(a98,f841(a831,f838(f836(x98651))))),f841(f841(a98,f841(a831,f838(f836(x98651)))),f841(f840(a98,a98),f840(f841(a98,f841(a831,f838(f836(x98651)))),f840(a98,a98)))),f840(x98651,f841(a837,a830))),f327(f10(f841(a98,f841(a831,f838(f836(x98651)))),f841(f840(a98,a98),f840(f841(a98,f841(a831,f838(f836(x98651)))),f840(a98,a98))),f841(a98,f841(a831,f838(f836(x98651))))),f236(f841(a98,f841(a831,f838(f836(x98651)))),f840(a98,a98)))),f327(f327(f10(f841(a98,f841(a831,f838(f836(x98651)))),f841(f841(a98,f841(a831,f838(f836(x98651)))),f841(a98,f841(a831,f838(f836(x98651))))),f840(x98651,f841(a837,a830))),f52(x98651)),f327(f327(f10(x98651,f841(a98,f841(a831,f838(f836(x98651)))),f840(x98651,f841(a837,a830))),f50(x98651)),f235(x98651,f841(a837,a830))))))),f267(x98651,x98652,x98654,x98653)) % 153.71/153.54 [9914]~P134(f327(f327(f329(x99142),x99144),f327(f254(x99141,x99142),x99143)))+P134(f327(f242(x99141,x99142,f327(f327(f9(x99141,f841(f840(x99141,x99142),a831),f841(x99142,a831)),f327(f327(f10(f841(x99142,f841(f841(f840(x99141,x99142),a831),a831)),f841(f841(f840(x99141,x99142),a831),f841(x99142,a831)),x99141),f9(x99142,f841(f840(x99141,x99142),a831),a831)),f327(f327(f10(f841(x99142,f840(x99141,x99142)),f841(x99142,f841(f841(f840(x99141,x99142),a831),a831)),x99141),f327(f10(f840(x99141,x99142),f841(f841(f840(x99141,x99142),a831),a831),x99142),f329(f840(x99141,x99142)))),f236(x99141,x99142)))),x99143)),x99144)) % 153.71/153.54 [9915]~P134(f327(f327(f329(x99151),x99154),f327(f256(x99151,x99152),x99153)))+P134(f327(f241(x99151,x99152,f327(f327(f9(x99151,f841(f840(x99151,x99152),a831),f841(x99152,a831)),f327(f327(f10(f841(x99152,f841(f841(f840(x99151,x99152),a831),a831)),f841(f841(f840(x99151,x99152),a831),f841(x99152,a831)),x99151),f9(x99152,f841(f840(x99151,x99152),a831),a831)),f327(f327(f10(f841(x99152,f840(x99151,x99152)),f841(x99152,f841(f841(f840(x99151,x99152),a831),a831)),x99151),f327(f10(f840(x99151,x99152),f841(f841(f840(x99151,x99152),a831),a831),x99152),f329(f840(x99151,x99152)))),f236(x99151,x99152)))),x99153)),x99154)) % 153.71/153.54 [9926]P134(f327(f327(f329(x99261),x99262),f327(f254(x99263,x99261),x99264)))+~P134(f327(f242(x99263,x99261,f327(f327(f9(x99263,f841(f840(x99263,x99261),a831),f841(x99261,a831)),f327(f327(f10(f841(x99261,f841(f841(f840(x99263,x99261),a831),a831)),f841(f841(f840(x99263,x99261),a831),f841(x99261,a831)),x99263),f9(x99261,f841(f840(x99263,x99261),a831),a831)),f327(f327(f10(f841(x99261,f840(x99263,x99261)),f841(x99261,f841(f841(f840(x99263,x99261),a831),a831)),x99263),f327(f10(f840(x99263,x99261),f841(f841(f840(x99263,x99261),a831),a831),x99261),f329(f840(x99263,x99261)))),f236(x99263,x99261)))),x99264)),x99262)) % 153.71/153.54 [9927]P134(f327(f327(f329(x99271),x99272),f327(f256(x99271,x99273),x99274)))+~P134(f327(f241(x99271,x99273,f327(f327(f9(x99271,f841(f840(x99271,x99273),a831),f841(x99273,a831)),f327(f327(f10(f841(x99273,f841(f841(f840(x99271,x99273),a831),a831)),f841(f841(f840(x99271,x99273),a831),f841(x99273,a831)),x99271),f9(x99273,f841(f840(x99271,x99273),a831),a831)),f327(f327(f10(f841(x99273,f840(x99271,x99273)),f841(x99273,f841(f841(f840(x99271,x99273),a831),a831)),x99271),f327(f10(f840(x99271,x99273),f841(f841(f840(x99271,x99273),a831),a831),x99273),f329(f840(x99271,x99273)))),f236(x99271,x99273)))),x99274)),x99272)) % 153.71/153.54 [9693]~P82(x96931)+E(f327(f327(f85(x96931),f327(f327(f84(x96931),f82(x96931)),f82(x96931))),f327(f327(f8(a834,x96931),f327(f327(f10(x96931,x96931,a834),f327(f84(x96931),x96932)),f327(f327(f9(a834,x96931,x96931),f327(f327(f10(x96931,f841(x96931,x96931),a834),f85(x96931)),f99(x96931))),x96933))),f327(f252(a834),x96934))),f327(f327(f85(x96931),f327(f99(x96931),x96934)),f327(f327(f84(x96931),x96932),f327(f327(f84(x96931),x96932),f327(f327(f85(x96931),f327(f99(x96931),f327(f327(f3(a834),x96934),f82(a834)))),x96933))))) % 153.71/153.54 [9836]P134(f327(x98361,f571(x98362,x98363,x98364,x98361)))+P33(x98362,f327(f251(f840(x98362,x98362)),f327(f246(x98362,x98362,a831),f327(f327(f10(f841(x98362,a831),f841(x98362,a831),x98362),f327(f20(x98362,a831,a831),f327(f327(f10(a831,f841(a831,a831),x98362),a325),x98361))),f327(f327(f9(x98362,f841(x98362,x98362),f841(x98362,a831)),f327(f327(f10(f841(x98362,a831),f841(f841(x98362,x98362),f841(x98362,a831)),x98362),f10(x98362,a831,x98362)),a324)),x98363))))) % 153.71/153.54 [9847]~P134(f327(f327(f228(a834),f327(x98474,f327(x98473,f571(x98471,x98473,x98474,x98472)))),f327(x98474,f571(x98471,x98473,x98474,x98472))))+P33(x98471,f327(f251(f840(x98471,x98471)),f327(f246(x98471,x98471,a831),f327(f327(f10(f841(x98471,a831),f841(x98471,a831),x98471),f327(f20(x98471,a831,a831),f327(f327(f10(a831,f841(a831,a831),x98471),a325),x98472))),f327(f327(f9(x98471,f841(x98471,x98471),f841(x98471,a831)),f327(f327(f10(f841(x98471,a831),f841(f841(x98471,x98471),f841(x98471,a831)),x98471),f10(x98471,a831,x98471)),a324)),x98473))))) % 153.71/153.54 [9949]~P134(f327(f327(f329(f840(x99491,x99491)),f327(f327(f236(x99491,x99491),x99493),x99494)),f327(f327(f100(f841(f840(x99491,x99491),a831)),x99492),f295(x99491,f176(f841(f840(x99491,x99491),a831))))))+P134(f327(f327(f327(f327(f100(f841(x99491,f841(x99491,a831))),f327(f327(f9(x99491,f841(f840(x99491,x99491),a831),f841(x99491,a831)),f327(f327(f10(f841(x99491,f841(f841(f840(x99491,x99491),a831),a831)),f841(f841(f840(x99491,x99491),a831),f841(x99491,a831)),x99491),f9(x99491,f841(f840(x99491,x99491),a831),a831)),f327(f327(f10(f841(x99491,f840(x99491,x99491)),f841(x99491,f841(f841(f840(x99491,x99491),a831),a831)),x99491),f327(f10(f840(x99491,x99491),f841(f841(f840(x99491,x99491),a831),a831),x99491),f329(f840(x99491,x99491)))),f236(x99491,x99491)))),x99492)),a324),x99493),x99494)) % 153.71/153.54 [9956]P134(f327(f327(f329(f840(x99561,x99561)),f327(f327(f236(x99561,x99561),x99562),x99563)),f327(f327(f100(f841(f840(x99561,x99561),a831)),x99564),f295(x99561,f176(f841(f840(x99561,x99561),a831))))))+~P134(f327(f327(f327(f327(f100(f841(x99561,f841(x99561,a831))),f327(f327(f9(x99561,f841(f840(x99561,x99561),a831),f841(x99561,a831)),f327(f327(f10(f841(x99561,f841(f841(f840(x99561,x99561),a831),a831)),f841(f841(f840(x99561,x99561),a831),f841(x99561,a831)),x99561),f9(x99561,f841(f840(x99561,x99561),a831),a831)),f327(f327(f10(f841(x99561,f840(x99561,x99561)),f841(x99561,f841(f841(f840(x99561,x99561),a831),a831)),x99561),f327(f10(f840(x99561,x99561),f841(f841(f840(x99561,x99561),a831),a831),x99561),f329(f840(x99561,x99561)))),f236(x99561,x99561)))),x99564)),a324),x99562),x99563)) % 153.71/153.54 [9911]E(f327(f327(f136(f835(x99111)),f327(f327(f136(x99111),x99112),f327(f128(f835(x99111),f835(x99111),f122(x99111),f112(x99111)),f327(f327(f138(f835(x99111),f835(x99111)),f140(f835(x99111),x99111,f112(x99111),f327(f327(f10(f835(x99111),f841(f835(x99111),f835(x99111)),x99111),f18(f835(x99111),f835(x99111))),f327(f327(f9(x99111,f835(x99111),f835(x99111)),f136(x99111)),f112(x99111))))),x99113)))),f160(x99111,f327(f327(f136(f835(x99111)),x99114),f327(f128(f835(f835(x99111)),f835(f835(x99111)),f122(f835(x99111)),f112(f835(x99111))),f327(f327(f138(f835(x99111),f835(f835(x99111))),f140(f835(f835(x99111)),x99111,f112(f835(x99111)),f327(f18(f841(f835(x99111),f835(f835(x99111))),x99111),f327(f327(f9(f835(x99111),f835(f835(x99111)),f835(f835(x99111))),f136(f835(x99111))),f112(f835(x99111)))))),x99113))))),f160(x99111,f327(f327(f136(f835(x99111)),f327(f327(f136(x99111),x99112),x99114)),x99113)))+~P134(f327(f316(f835(f835(x99111)),f161(x99111)),f327(f327(f136(f835(x99111)),f327(f327(f136(x99111),x99112),x99114)),x99113))) % 153.71/153.54 [9948]~P134(f327(f66(x99482),f327(f251(x99482),x99484)))+P134(f327(f66(x99481),f327(f251(x99481),f327(f327(f10(f841(x99482,a831),a831,x99481),f91(x99482)),f327(f327(f9(x99481,f841(x99482,a831),f841(x99482,a831)),f327(f327(f10(f841(x99482,f841(a831,a831)),f841(f841(x99482,a831),f841(x99482,a831)),x99481),f20(x99482,a831,a831)),f327(f327(f10(f841(x99482,a831),f841(x99482,f841(a831,a831)),x99481),f327(f10(a831,f841(a831,a831),x99482),a325)),f327(f327(f9(x99481,f841(x99482,x99481),f841(x99482,a831)),f327(f327(f10(f841(x99481,a831),f841(f841(x99482,x99481),f841(x99482,a831)),x99481),f10(x99481,a831,x99482)),a324)),x99483)))),x99484))))) % 153.71/153.54 [7149]E(x71491,x71492)+~E(f311(x71493,x71494,x71495,x71491),f311(x71493,x71494,x71495,x71492)) % 153.71/153.54 [7150]E(x71501,x71502)+~E(f312(x71503,x71504,x71505,x71501),f312(x71503,x71504,x71505,x71502)) % 153.71/153.54 [8929]~P38(f36(x89291,x89295),x89292,x89293,x89294)+P38(x89291,x89292,x89293,f787(x89294,x89293,x89292,x89295,x89291)) % 153.71/153.54 [8930]~P38(f36(x89301,x89305),x89302,x89303,x89304)+P38(x89301,x89302,x89303,f818(x89304,x89303,x89302,x89305,x89301)) % 153.71/153.54 [8931]~P38(f36(x89315,x89311),x89314,x89313,x89312)+P38(x89311,f787(x89312,x89313,x89314,x89311,x89315),x89313,x89312) % 153.71/153.54 [8932]~P38(f36(x89325,x89321),x89324,x89323,x89322)+P38(x89321,f818(x89322,x89323,x89324,x89321,x89325),x89323,x89322) % 153.71/153.54 [5473]E(f327(f327(f297(x54731),x54732),f165(x54731,x54733,x54734)),f165(x54731,x54733,x54734))+~E(f327(x54734,x54732),f327(f222(x54733),x54735)) % 153.71/153.54 [5909]P134(f327(f242(x59091,x59092,x59093),x59094))+~P134(f327(f327(x59093,x59095),x59094)) % 153.71/153.54 [5911]P134(f327(f241(x59111,x59112,x59113),x59114))+~P134(f327(f327(x59113,x59114),x59115)) % 153.71/153.54 [5914]~E(f327(x59144,x59142),f327(f222(x59143),x59145))+P134(f327(f327(f329(x59141),x59142),f165(x59141,x59143,x59144))) % 153.71/153.54 [5915]~E(f327(x59154,x59155),f327(f222(x59151),x59152))+P134(f327(f327(f329(x59151),x59152),f167(x59153,x59151,x59154))) % 153.71/153.54 [6391]~P38(f28(x63913,x63914),x63912,x63915,x63911)+E(x63911,f184(x63912,x63913,f327(x63914,x63912))) % 153.71/153.54 [6401]~E(x64015,f2(a98))+E(f327(f188(x64011,x64012,x64013,x64014),x64015),f114(x64012)) % 153.71/153.54 [6402]~E(x64025,f2(a98))+E(f327(f186(x64021,x64022,x64023,x64024),x64025),f121(x64022)) % 153.71/153.54 [6539]~E(x65393,f2(a98))+E(f327(f263(x65391,x65392,x65393,x65394),x65395),f327(f236(x65391,x65392),x65395)) % 153.71/153.54 [6618]~E(f327(x66184,x66185),f179(x66182))+E(f327(f224(f838(x66181),x66182,f179(x66181),x66183),f327(x66184,x66185)),f179(x66181)) % 153.71/153.54 [7271]E(f327(x72711,x72712),f179(x72713))+~E(f327(f166(x72714,x72713,x72715,x72711),x72712),f179(x72713)) % 153.71/153.54 [7272]E(f327(x72721,x72722),f179(x72723))+~E(f327(f166(x72724,x72723,x72721,x72725),x72722),f179(x72723)) % 153.71/153.54 [7311]E(f327(f166(x73111,x73112,x73113,x73114),x73115),f327(x73113,x73115))+P134(f327(f327(f329(x73111),x73115),f165(x73111,x73112,x73114))) % 153.71/153.54 [7312]E(f327(f166(x73121,x73122,x73123,x73124),x73125),f327(x73124,x73125))+P134(f327(f327(f329(x73121),x73125),f165(x73121,x73122,x73123))) % 153.71/153.54 [7634]~P24(x76344,x76341,x76342,x76345)+E(f327(f77(x76341,x76341,x76341,f327(x76342,x76343)),f327(x76342,x76343)),f327(x76342,x76343)) % 153.71/153.54 [7677]E(f327(f166(x76771,x76772,x76773,x76774),x76775),f327(x76774,x76775))+~P134(f327(f327(f329(x76771),x76775),f165(x76771,x76772,x76774))) % 153.71/153.54 [8016]~P20(x80165,x80161,x80162)+E(f327(f77(x80161,x80161,x80161,f327(x80162,x80163)),f327(x80162,x80164)),f327(f77(x80161,x80161,x80161,f327(x80162,x80164)),f327(x80162,x80163))) % 153.71/153.54 [8333]P134(f327(f327(f329(f840(x83331,x83331)),f327(f327(f236(x83331,x83331),x83332),x83333)),f322(x83331,x83334,x83335)))+~P134(f327(f327(f228(a834),f327(x83334,x83332)),f327(x83334,x83333))) % 153.71/153.54 [8424]~P134(f327(f327(f329(x84244),x84243),f277(x84244,x84241,x84242,x84245)))+P134(f327(f327(x84241,x84242),x84243)) % 153.71/153.54 [8425]~P134(f327(f327(f329(x84254),x84253),f286(x84254,x84251,x84252,x84255)))+P134(f327(f327(x84251,x84252),x84253)) % 153.71/153.54 [8426]~P134(f327(f327(f329(x84264),x84262),f277(x84264,x84261,x84265,x84263)))+P134(f327(f327(x84261,x84262),x84263)) % 153.71/153.54 [8427]~P134(f327(f327(f329(x84274),x84272),f286(x84274,x84271,x84275,x84273)))+P134(f327(f327(x84271,x84272),x84273)) % 153.71/153.54 [8549]~P53(x85492,x85491,x85495,x85493,x85494)+E(f327(f298(x85491,x85492,x85493),x85494),f234(f841(x85492,a831))) % 153.71/153.54 [9313]P134(f327(f327(f329(f840(f835(x93131),f835(x93131))),f327(f327(f236(f835(x93131),f835(x93131)),f327(f327(f136(x93131),x93132),x93133)),f327(f327(f136(x93131),x93132),x93134))),f141(x93131,x93135)))+~P134(f327(f327(f329(f840(f835(x93131),f835(x93131))),f327(f327(f236(f835(x93131),f835(x93131)),x93133),x93134)),f141(x93131,x93135))) % 153.71/153.54 [9314]P134(f327(f327(f329(f840(f835(x93141),f835(x93141))),f327(f327(f236(f835(x93141),f835(x93141)),f327(f327(f122(x93141),x93142),x93143)),f327(f327(f122(x93141),x93142),x93144))),f133(x93141,x93145)))+~P134(f327(f327(f329(f840(f835(x93141),f835(x93141))),f327(f327(f236(f835(x93141),f835(x93141)),x93143),x93144)),f133(x93141,x93145))) % 153.71/153.54 [9365]~E(f327(x93653,f829(x93652,x93651,x93654,x93655,x93653)),f327(f170(x93655,x93654,x93651),f829(x93652,x93651,x93654,x93655,x93653)))+E(f327(f327(x93651,x93652),f327(x93653,x93652)),f327(x93653,f327(a111,x93652))) % 153.71/153.54 [9493]E(f327(f327(f136(x94931),f700(x94932,x94933,x94934,x94935,x94931)),f703(x94932,x94933,x94934,x94935,x94931)),x94935)+~P134(f327(f327(f329(f840(f835(x94931),f835(x94931))),f327(f327(f236(f835(x94931),f835(x94931)),x94935),f327(f327(f136(x94931),x94934),x94933))),f142(x94931,x94932))) % 153.71/153.54 [9520]E(f327(f327(f136(x95201),f701(x95202,x95203,x95204,x95205,x95201)),f702(x95202,x95203,x95204,x95205,x95201)),x95203)+~P134(f327(f327(f329(f840(f835(x95201),f835(x95201))),f327(f327(f236(f835(x95201),f835(x95201)),f327(f327(f136(x95201),x95205),x95204)),x95203)),f142(x95201,x95202))) % 153.71/153.54 [9651]~P134(f327(f327(f329(f840(f835(x96511),f835(x96511))),f327(f327(f236(f835(x96511),f835(x96511)),f327(f327(f136(x96511),x96515),x96512)),x96514)),f142(x96511,x96513)))+P134(f327(f327(f329(f840(f835(x96511),f835(x96511))),f327(f327(f236(f835(x96511),f835(x96511)),x96512),f702(x96513,x96514,x96512,x96515,x96511))),f142(x96511,x96513))) % 153.71/153.54 [9736]~P134(f327(f327(f329(f840(f835(x97361),f835(x97361))),f327(f327(f236(f835(x97361),f835(x97361)),x97365),f327(f327(f136(x97361),x97364),x97363))),f142(x97361,x97362)))+P134(f327(f327(f329(f840(f835(x97361),f835(x97361))),f327(f327(f236(f835(x97361),f835(x97361)),f703(x97362,x97363,x97364,x97365,x97361)),x97363)),f142(x97361,x97362))) % 153.71/153.54 [9905]P134(f327(f327(f329(f840(x99051,x99051)),f327(f327(f236(x99051,x99051),f327(x99052,f327(f327(f84(a834),x99053),x99054))),f327(x99052,x99053))),f295(x99051,x99055)))+~P134(f327(f327(f329(f840(x99051,x99051)),f327(f327(f236(x99051,x99051),f327(x99052,f327(a111,f630(x99054,x99053,x99055,x99052,x99051)))),f327(x99052,f630(x99054,x99053,x99055,x99052,x99051)))),f295(x99051,x99055))) % 153.71/153.54 [9929]E(x99291,f2(a98))+E(f327(f224(f840(f835(x99292),x99293),f840(x99292,x99293),f327(f327(f236(f835(x99292),x99293),f112(x99292)),x99294),f327(f246(x99292,x99293,f840(f835(x99292),x99293)),f327(f327(f9(x99292,f841(x99293,f840(f835(x99292),x99293)),f841(x99293,f840(f835(x99292),x99293))),f327(f327(f10(f841(f840(f835(x99292),x99293),f840(f835(x99292),x99293)),f841(f841(x99293,f840(f835(x99292),x99293)),f841(x99293,f840(f835(x99292),x99293))),x99292),f10(f840(f835(x99292),x99293),f840(f835(x99292),x99293),x99293)),f327(f327(f10(f841(f835(x99292),f841(x99293,f840(f835(x99292),x99293))),f841(f840(f835(x99292),x99293),f840(f835(x99292),x99293)),x99292),f246(f835(x99292),x99293,f840(f835(x99292),x99293))),f327(f327(f10(f841(f835(x99292),f835(x99292)),f841(f835(x99292),f841(x99293,f840(f835(x99292),x99293))),x99292),f327(f10(f835(x99292),f841(x99293,f840(f835(x99292),x99293)),f835(x99292)),f236(f835(x99292),x99293))),f136(x99292))))),f116(x99293,x99292,x99295,f327(f327(f3(a98),x99291),f82(a98)))))),f327(x99295,x99294)),f327(f116(x99293,x99292,x99295,x99291),x99294)) % 153.71/153.54 [5072]E(x50721,x50722)+~E(f327(f327(f136(x50723),x50724),x50721),f327(f327(f136(x50723),x50725),x50722)) % 153.71/153.54 [5073]E(x50731,x50732)+~E(f327(f327(f136(x50733),x50731),x50734),f327(f327(f136(x50733),x50732),x50735)) % 153.71/153.54 [5268]~E(f327(f327(f125(x52681),x52683),x52682),f327(f327(f136(x52681),x52684),x52685))+E(f327(f327(f146(x52681),x52682),x52683),x52684) % 153.71/153.54 [5402]~P19(x54024,x54025,x54021)+E(f327(f327(x54021,x54022),f327(f327(x54021,x54022),x54023)),f327(f327(x54021,x54022),x54023)) % 153.71/153.54 [6042]~P97(x60422)+~E(f327(f327(f134(x60421,x60422,x60423),x60424),x60425),f112(x60421)) % 153.71/153.54 [6441]E(x64411,x64412)+~E(f327(f327(f122(x64413),x64414),f327(f327(f136(x64413),x64411),f112(x64413))),f327(f327(f122(x64413),x64415),f327(f327(f136(x64413),x64412),f112(x64413)))) % 153.71/153.54 [6442]E(x64421,x64422)+~E(f327(f327(f122(x64423),x64421),f327(f327(f136(x64423),x64424),f112(x64423))),f327(f327(f122(x64423),x64422),f327(f327(f136(x64423),x64425),f112(x64423)))) % 153.71/153.54 [6700]E(f327(f168(x67001,x67002,x67003,x67004),x67005),f179(x67002))+P134(f327(f327(f329(x67001),x67005),x67004)) % 153.71/153.54 [6769]E(f327(f327(f297(x67691),f327(x67692,x67693)),f327(f298(x67694,x67691,x67692),x67695)),f327(f298(x67694,x67691,x67692),x67695))+~P134(f327(f327(f329(x67694),x67693),x67695)) % 153.71/153.54 [6777]~P134(f327(x67774,f327(x67773,x67775)))+P134(f327(f327(f300(x67771,x67772,x67773),x67774),x67775)) % 153.71/153.54 [6782]~E(x67824,f2(a98))+E(f327(f116(x67821,x67822,x67823,x67824),x67825),f327(f327(f236(f835(x67822),x67821),f112(x67822)),x67825)) % 153.71/153.54 [6878]~E(f327(f298(x68781,x68782,x68783),x68784),x68785)+E(f327(f298(f841(x68781,a831),f841(x68782,a831),f298(x68781,x68782,x68783)),f327(f296(x68781),x68784)),f327(f296(x68782),x68785)) % 153.71/153.54 [6909]E(f327(f168(x69091,x69092,x69093,x69094),x69095),f327(x69093,x69095))+~P134(f327(f327(f329(x69091),x69095),x69094)) % 153.71/153.54 [7230]P28(x72301,x72302,x72303,x72304)+~P28(x72301,x72302,x72303,f327(f327(f297(x72301),x72305),x72304)) % 153.71/153.54 [7348]~P134(f327(f327(f329(x73484),x73483),x73485))+P134(f327(f327(f329(x73481),f327(x73482,x73483)),f327(f298(x73484,x73481,x73482),x73485))) % 153.71/153.54 [7399]P134(f327(x73991,f327(x73992,x73993)))+~P134(f327(f327(f300(x73994,x73995,x73992),x73991),x73993)) % 153.71/153.54 [7469]~P134(f327(f327(f329(x74693),f327(x74694,x74692)),x74695))+P134(f327(f327(f329(x74691),x74692),f327(f300(x74691,x74693,x74694),x74695))) % 153.71/153.54 [7866]~P134(f327(f327(f329(x78665),x78663),f327(f300(x78665,x78661,x78662),x78664)))+P134(f327(f327(f329(x78661),f327(x78662,x78663)),x78664)) % 153.71/153.54 [8077]~E(x80773,f327(f327(f327(f76(x80771,f838(x80772)),f327(f18(f838(x80772),x80771),f179(x80772))),x80774),f327(f222(x80772),x80775)))+E(f165(x80771,x80772,x80773),f327(f327(f297(x80771),x80774),f176(f841(x80771,a831)))) % 153.71/153.54 [8155]~P20(x81552,x81551,x81553)+E(f327(f128(x81551,x81552,f327(f9(x81552,x81551,x81551),x81553),x81554),f137(x81552,x81555)),f327(f327(f69(x81552,x81551,x81553),x81554),f327(f154(x81552),x81555))) % 153.71/153.54 [8174]E(f327(x81741,f406(x81742,x81741,x81743,x81744)),x81744)+~P134(f327(f327(f329(x81745),x81744),f327(f298(x81743,x81745,x81741),x81742))) % 153.71/153.54 [8410]P134(f327(f327(f329(f842(x84101,x84102)),f327(f308(x84102,x84101),x84103)),f309(x84101,x84102,x84104,x84105)))+~P134(f327(f327(f329(x84102),x84103),x84105)) % 153.71/153.54 [8411]P134(f327(f327(f329(f842(x84111,x84112)),f327(f299(x84111,x84112),x84113)),f309(x84111,x84112,x84114,x84115)))+~P134(f327(f327(f329(x84111),x84113),x84114)) % 153.71/153.54 [8468]~E(x84682,f327(f327(f136(x84681),x84684),x84685))+P134(f327(f327(f329(f840(f835(x84681),f835(x84681))),f327(f327(f236(f835(x84681),f835(x84681)),f112(x84681)),x84682)),f133(x84681,x84683))) % 153.71/153.54 [8519]P134(f327(f327(f227(f841(x85191,a831)),f327(f327(f48(x85192,f841(x85191,a831)),x85193),x85194)),f327(x85194,x85195)))+~P134(f327(f327(f329(x85192),x85195),x85193)) % 153.71/153.54 [8565]~P53(x85651,x85652,x85653,x85655,x85654)+E(f327(f298(x85651,x85652,x85653),f234(f841(x85651,a831))),x85654) % 153.71/153.54 [8753]E(f327(f327(f327(f76(x87531,f838(x87532)),f168(x87531,x87532,x87533,x87534)),x87535),f179(x87532)),f168(x87531,x87532,x87533,x87534))+P134(f327(f327(f329(x87531),x87535),x87534)) % 153.71/153.54 [8756]E(f327(x87561,f689(x87562,x87563,x87561,x87564,x87565)),x87562)+~E(f327(f327(f191(x87565,x87564),x87561),x87563),f327(f222(x87564),x87562)) % 153.71/153.54 [8759]E(f327(f222(x87591),f689(x87592,x87593,x87594,x87595,x87591)),x87593)+~E(f327(f327(f191(x87591,x87595),x87594),x87593),f327(f222(x87595),x87592)) % 153.71/153.54 [8839]E(f327(f177(f835(x88391)),x88392),x88393)+~P134(f327(f327(f329(f840(f835(x88391),f835(x88391))),f327(f327(f236(f835(x88391),f835(x88391)),x88394),x88392)),f327(f129(x88391,x88395),x88393))) % 153.71/153.54 [8840]E(f327(f177(f835(x88401)),x88402),x88403)+~P134(f327(f327(f329(f840(f835(x88401),f835(x88401))),f327(f327(f236(f835(x88401),f835(x88401)),x88402),x88404)),f327(f129(x88401,x88405),x88403))) % 153.71/153.54 [8901]P134(f327(f327(f329(x89011),f406(x89012,x89013,x89011,x89014)),x89012))+~P134(f327(f327(f329(x89015),x89014),f327(f298(x89011,x89015,x89013),x89012))) % 153.71/153.54 [9053]E(f327(f298(x90531,x90532,x90533),f359(x90534,x90533,x90531,x90535,x90532)),x90535)+~P134(f327(f327(f227(f841(x90532,a831)),x90535),f327(f298(x90531,x90532,x90533),x90534))) % 153.71/153.54 [9285]E(f327(x92851,f517(x92852,x92851,x92853,x92854,x92855)),f327(f222(x92855),x92854))+~P134(f327(f327(f329(x92855),x92854),f167(x92853,x92855,f168(x92853,x92855,x92851,x92852)))) % 153.71/153.54 [9329]P134(f327(f327(f329(f840(f835(x93291),f835(x93291))),f327(f327(f236(f835(x93291),f835(x93291)),f327(f327(f136(x93291),x93292),x93293)),f327(f327(f136(x93291),x93292),x93294))),f295(f835(x93291),f141(x93291,x93295))))+~P134(f327(f327(f329(f840(f835(x93291),f835(x93291))),f327(f327(f236(f835(x93291),f835(x93291)),x93293),x93294)),f295(f835(x93291),f141(x93291,x93295)))) % 153.71/153.54 [9358]~E(f327(x93583,f690(x93585,x93584,x93583,x93582,x93581)),f327(x93585,f690(x93585,x93584,x93583,x93582,x93581)))+E(f327(f327(f138(x93581,x93582),x93583),x93584),f327(f327(f138(x93581,x93582),x93585),x93584)) % 153.71/153.54 [9437]E(f327(f327(f138(x94371,x94372),x94373),x94374),f327(f327(f138(x94371,x94372),x94375),x94374))+P134(f327(f327(f329(x94371),f690(x94373,x94374,x94375,x94372,x94371)),f327(f154(x94371),x94374))) % 153.71/153.54 [9466]~P134(f327(f327(f329(x94665),x94664),f327(f272(x94661,x94665,x94663),x94662)))+P134(f327(f327(f329(x94661),f473(x94662,x94663,x94661,x94664,x94665)),x94662)) % 153.71/153.54 [9467]~P134(f327(f327(f329(x94675),x94674),f327(f272(x94671,x94675,x94673),x94672)))+P134(f327(f327(f329(x94671),f515(x94672,x94673,x94671,x94674,x94675)),x94672)) % 153.71/153.54 [9491]~P134(f327(f327(f227(f841(x94915,a831)),x94914),f327(f298(x94911,x94915,x94913),x94912)))+P134(f327(f327(f227(f841(x94911,a831)),f359(x94912,x94913,x94911,x94914,x94915)),x94912)) % 153.71/153.54 [9535]~P134(f327(f327(f329(x95355),x95354),f167(x95351,x95355,f168(x95351,x95355,x95353,x95352))))+P134(f327(f327(f329(x95351),f517(x95352,x95353,x95351,x95354,x95355)),x95352)) % 153.71/153.54 [5282]~E(f327(x52823,x52824),x52825)+E(f327(f327(f327(f76(x52821,x52822),x52823),x52824),x52825),x52823) % 153.71/153.54 [5749]E(f327(x57491,x57492),x57493)+~E(f327(f327(f327(f76(x57494,x57495),x57491),x57492),x57493),x57491) % 153.71/153.54 [5843]E(x58431,x58432)+~E(f327(f245(x58433,x58434),f327(f327(f236(x58433,x58434),x58435),x58431)),x58432) % 153.71/153.54 [5844]E(x58441,x58442)+~E(f327(f235(x58443,x58444),f327(f327(f236(x58443,x58444),x58441),x58445)),x58442) % 153.71/153.54 [6462]E(f53(a834,x64621,x64622),f53(a834,x64623,x64622))+~E(f327(f327(f84(a834),x64621),f327(f327(f85(a834),x64622),x64624)),f327(f327(f84(a834),x64623),f327(f327(f85(a834),x64622),x64625))) % 153.71/153.54 [6527]E(f327(f298(x65271,x65272,f327(f18(x65272,x65271),x65273)),x65274),f327(f327(f297(x65272),x65273),f176(f841(x65272,a831))))+~P134(f327(f327(f329(x65271),x65275),x65274)) % 153.71/153.54 [6601]E(f327(f327(f100(f841(x66011,a831)),f327(f154(x66011),x66012)),f327(f154(x66011),x66013)),f327(f154(x66011),x66014))+~E(f149(x66011,x66015,x66014),f327(f327(f236(f835(x66011),f835(x66011)),x66012),x66013)) % 153.71/153.54 [6706]~P97(x67062)+E(f327(f177(f835(x67061)),f327(f327(f134(x67061,x67062,x67063),x67064),x67065)),f327(a111,f327(f177(f835(x67061)),x67065))) % 153.71/153.54 [6720]~P97(x67202)+E(f327(f154(x67201),f327(f327(f134(x67201,x67202,x67203),x67204),x67205)),f327(f327(f297(x67201),x67204),f327(f154(x67201),x67205))) % 153.71/153.54 [7003]~P82(x70031)+E(f327(f327(f84(x70031),f327(f327(f84(x70031),x70032),x70033)),f327(f327(f84(x70031),x70034),x70035)),f327(f327(f84(x70031),f327(f327(f84(x70031),x70032),x70034)),f327(f327(f84(x70031),x70033),x70035))) % 153.71/153.54 [7004]~P82(x70041)+E(f327(f327(f85(x70041),f327(f327(f85(x70041),x70042),x70043)),f327(f327(f85(x70041),x70044),x70045)),f327(f327(f85(x70041),f327(f327(f85(x70041),x70042),x70044)),f327(f327(f85(x70041),x70043),x70045))) % 153.71/153.54 [7005]~P58(x70051)+E(f327(f327(f278(x70051),f327(f327(f85(x70051),x70052),x70053)),f327(f327(f85(x70051),x70054),x70055)),f327(f327(f85(x70051),f327(f327(f278(x70051),x70052),x70054)),f327(f327(f278(x70051),x70053),x70055))) % 153.71/153.54 [7019]~P97(x70191)+E(f290(x70191,f327(f327(f175(x70191),x70192),x70193),f327(f327(f231(x70191),x70194),x70195)),f327(f327(f101(f841(x70191,a831)),f290(x70191,x70192,x70194)),f290(x70191,x70193,x70195))) % 153.71/153.54 [7020]~P97(x70201)+E(f292(x70201,f327(f327(f175(x70201),x70202),x70203),f327(f327(f231(x70201),x70204),x70205)),f327(f327(f101(f841(x70201,a831)),f292(x70201,x70202,x70204)),f292(x70201,x70203,x70205))) % 153.71/153.54 [7021]~P97(x70211)+E(f293(x70211,f327(f327(f175(x70211),x70212),x70213),f327(f327(f231(x70211),x70214),x70215)),f327(f327(f101(f841(x70211,a831)),f293(x70211,x70212,x70214)),f293(x70211,x70213,x70215))) % 153.71/153.54 [7022]~P97(x70221)+E(f327(f327(f101(f841(x70221,a831)),f327(f289(x70221,x70222),x70223)),f327(f289(x70221,x70224),x70225)),f327(f289(x70221,f327(f327(f175(x70221),x70222),x70224)),f327(f327(f231(x70221),x70223),x70225))) % 153.71/153.54 [7141]~P134(f327(x71411,f804(x71413,x71412,x71411)))+P134(f327(x71411,f327(f327(f236(x71412,x71413),x71414),x71415))) % 153.71/153.54 [7242]~E(f327(x72423,x72424),f179(x72422))+E(f167(x72421,x72422,f327(f327(f327(f76(x72421,f838(x72422)),x72423),x72424),f327(f222(x72422),x72425))),f327(f327(f297(x72422),x72425),f167(x72421,x72422,x72423))) % 153.71/153.54 [7263]~E(x72632,f327(x72634,x72635))+P134(f327(f327(f329(x72631),x72632),f327(f298(x72633,x72631,x72634),f234(f841(x72633,a831))))) % 153.71/153.54 [7323]~E(f327(x73233,x73234),f179(x73232))+E(f327(f327(f3(f841(x73231,a831)),f165(x73231,x73232,x73233)),f327(f327(f297(x73231),x73234),x73235)),f327(f327(f3(f841(x73231,a831)),f165(x73231,x73232,x73233)),x73235)) % 153.71/153.54 [7345]~P19(x73453,x73452,x73454)+P19(x73451,x73452,f327(f327(f10(x73453,f841(x73452,x73452),x73451),x73454),x73455)) % 153.71/153.54 [7346]~P20(x73463,x73462,x73464)+P20(x73461,x73462,f327(f327(f10(x73463,f841(x73462,x73462),x73461),x73464),x73465)) % 153.71/153.54 [7485]~P28(x74851,x74852,x74853,x74854)+P28(x74851,x74852,x74853,f327(f327(f3(f841(x74851,a831)),x74854),x74855)) % 153.71/153.54 [7643]~P134(f327(f327(x76433,x76434),x76435))+P134(f327(f327(f246(x76431,x76432,a831),x76433),f327(f327(f236(x76431,x76432),x76434),x76435))) % 153.71/153.54 [7757]~P134(f327(x77572,x77574))+~E(f327(f327(f125(x77571),f327(f177(f835(x77571)),f158(x77571,x77572,x77573))),x77573),f327(f327(f136(x77571),x77574),x77575)) % 153.71/153.54 [7777]P28(x77771,x77772,x77773,x77774)+~P28(x77771,x77772,x77773,f327(f327(f100(f841(x77771,a831)),x77775),x77774)) % 153.71/153.54 [7778]P28(x77781,x77782,x77783,x77784)+~P28(x77781,x77782,x77783,f327(f327(f100(f841(x77781,a831)),x77784),x77785)) % 153.71/153.54 [8132]~P19(x81322,x81321,x81323)+E(f327(f128(x81321,x81322,f327(f9(x81322,x81321,x81321),x81323),x81324),x81325),f327(f327(f69(x81322,x81321,x81323),x81324),f327(f154(x81322),x81325))) % 153.71/153.54 [8161]~E(f327(f327(f125(x81611),f327(f177(f835(x81611)),f158(x81611,x81612,x81613))),x81613),f327(f327(f136(x81611),x81614),x81615))+E(f327(f327(f122(x81611),f158(x81611,x81612,x81613)),f327(f327(f136(x81611),x81614),x81615)),x81613) % 153.71/153.54 [8184]P134(f327(f327(x81841,x81842),x81843))+~P134(f327(f327(f246(x81844,x81845,a831),x81841),f327(f327(f236(x81844,x81845),x81842),x81843))) % 153.71/153.54 [8268]~E(f327(f162(x82681,x82682,x82685),x82683),f327(f222(x82682),x82684))+P134(f327(f327(f329(f840(x82681,x82682)),f327(f327(f236(x82681,x82682),x82683),x82684)),f327(f154(f840(x82681,x82682)),x82685))) % 153.71/153.54 [8619]P134(f327(f327(f227(f841(x86191,a831)),f327(f298(x86192,x86191,x86193),x86194)),f327(f298(x86192,x86191,x86193),x86195)))+~P134(f327(f327(f227(f841(x86192,a831)),x86194),x86195)) % 153.71/153.54 [8620]P134(f327(f327(f227(f841(x86201,a831)),f327(f300(x86201,x86202,x86203),x86204)),f327(f300(x86201,x86202,x86203),x86205)))+~P134(f327(f327(f227(f841(x86202,a831)),x86204),x86205)) % 153.71/153.54 [8691]E(x86911,f2(a98))+E(f327(f327(f248(x86912,x86913,x86912,f840(x86913,x86912)),f327(x86914,x86915)),f263(x86913,x86912,f327(f327(f3(a98),x86911),f82(a98)),x86914)),f327(f263(x86913,x86912,x86911,x86914),x86915)) % 153.71/153.54 [8775]P134(f327(f327(f244(x87751,x87752,a831,x87753),x87754),x87755))+~P134(f327(x87753,f327(f327(f236(x87751,x87752),x87754),x87755))) % 153.71/153.54 [9032]~P134(f327(f327(f244(x90322,x90323,a831,x90321),x90324),x90325))+P134(f327(x90321,f327(f327(f236(x90322,x90323),x90324),x90325))) % 153.71/153.54 [9143]E(f327(f222(x91431),f697(x91432,x91433,x91434,x91431,x91435)),f327(f162(x91435,x91431,x91432),x91434))+~P134(f327(f327(f329(f840(x91435,x91431)),f327(f327(f236(x91435,x91431),x91434),x91433)),f327(f154(f840(x91435,x91431)),x91432))) % 153.71/153.54 [9277]~P134(f327(f66(x92773),f327(f298(x92772,x92773,x92775),f234(f841(x92772,a831)))))+P134(f327(f66(x92771),f327(f298(x92772,x92771,f327(f327(f10(x92773,x92771,x92772),x92774),x92775)),f234(f841(x92772,a831))))) % 153.71/153.54 [9299]P134(f327(f327(f227(f841(f841(x92991,a831),a831)),f327(f298(f841(x92992,a831),f841(x92991,a831),f298(x92992,x92991,x92993)),f327(f296(x92992),x92994))),f327(f296(x92991),x92995)))+~P134(f327(f327(f227(f841(x92991,a831)),f327(f298(x92992,x92991,x92993),x92994)),x92995)) % 153.71/153.54 [9309]~P134(f327(f66(f838(x93091)),f327(f298(x93092,f838(x93091),x93093),f234(f841(x93092,a831)))))+P134(f327(f66(f838(x93091)),f327(f298(x93092,f838(x93091),f327(f327(f327(f76(x93092,f838(x93091)),x93093),x93094),f327(f222(x93091),x93095))),f234(f841(x93092,a831))))) % 153.71/153.54 [9367]E(x93671,x93672)+~P134(f327(f71(x93673,x93674,x93675,x93671,f176(f841(x93673,a831))),x93672)) % 153.71/153.54 [9382]E(f327(f327(f236(x93821,x93822),f537(x93823,x93824,x93825,x93822,x93821)),f538(x93823,x93824,x93825,x93822,x93821)),x93825)+~P134(f327(f327(f329(f840(x93821,x93822)),x93825),f327(f327(f243(x93821,x93822),x93824),x93823))) % 153.71/153.54 [9471]P134(f327(f327(f329(x94711),f537(x94712,x94713,x94714,x94715,x94711)),x94713))+~P134(f327(f327(f329(f840(x94711,x94715)),x94714),f327(f327(f243(x94711,x94715),x94713),x94712))) % 153.71/153.54 [9610]P134(f327(f327(f329(x96101),f538(x96102,x96103,x96104,x96101,x96105)),f327(x96102,f537(x96102,x96103,x96104,x96101,x96105))))+~P134(f327(f327(f329(f840(x96105,x96101)),x96104),f327(f327(f243(x96105,x96101),x96103),x96102))) % 153.71/153.54 [9629]P134(f327(f327(f329(f840(x96291,x96291)),f327(f327(f236(x96291,x96291),x96292),f663(x96293,x96294,x96295,x96292,x96291))),x96293))+~P134(f327(f327(f329(f840(x96291,x96291)),f327(f327(f236(x96291,x96291),x96292),x96295)),f327(f327(f169(f840(x96291,x96291),a831),f327(a111,x96294)),x96293))) % 153.71/153.54 [9630]P134(f327(f327(f329(f840(x96301,x96301)),f327(f327(f236(x96301,x96301),x96302),f664(x96303,x96304,x96305,x96302,x96301))),x96303))+~P134(f327(f327(f329(f840(x96301,x96301)),f327(f327(f236(x96301,x96301),x96302),x96305)),f327(f327(f169(f840(x96301,x96301),a831),f327(a111,x96304)),x96303))) % 153.71/153.54 [9648]~P134(f327(f327(f329(f840(f835(x96481),f835(x96481))),f327(f327(f236(f835(x96481),f835(x96481)),f327(f327(f136(x96481),x96482),x96485)),x96484)),f142(x96481,x96483)))+P134(f327(f327(f329(f840(x96481,x96481)),f327(f327(f236(x96481,x96481),x96482),f701(x96483,x96484,x96485,x96482,x96481))),x96483)) % 153.71/153.54 [6200]P134(f327(x62002,x62004))+E(f158(x62001,x62002,f327(f327(f122(x62001),x62003),f327(f327(f136(x62001),x62004),x62005))),f158(x62001,x62002,x62003)) % 153.71/153.54 [6248]~P69(x62482)+E(f327(f327(f327(f3(f841(x62481,x62482)),x62483),x62484),x62485),f327(f327(f3(x62482),f327(x62483,x62485)),f327(x62484,x62485))) % 153.71/153.54 [6250]~P89(x62502)+E(f327(f327(f327(f100(f841(x62501,x62502)),x62503),x62504),x62505),f327(f327(f100(x62502),f327(x62503,x62505)),f327(x62504,x62505))) % 153.71/153.54 [6252]~P89(x62522)+E(f327(f327(f327(f101(f841(x62521,x62522)),x62523),x62524),x62525),f327(f327(f101(x62522),f327(x62523,x62525)),f327(x62524,x62525))) % 153.71/153.54 [6273]E(x62731,x62732)+E(f327(f327(f146(x62733),f327(f327(f143(x62733,x62734),x62731),x62735)),x62732),f327(f327(f146(x62733),x62734),x62732)) % 153.71/153.54 [6544]~E(x65444,f176(f841(x65443,a831)))+E(f327(f327(f3(f841(x65441,a831)),x65442),f327(f327(f47(x65443,f841(x65441,a831)),x65444),x65445)),x65442) % 153.71/153.54 [6545]~E(x65454,f176(f841(x65453,a831)))+E(f327(f327(f100(f841(x65451,a831)),x65452),f327(f327(f47(x65453,f841(x65451,a831)),x65454),x65455)),x65452) % 153.71/153.54 [6546]~E(x65464,f176(f841(x65463,a831)))+E(f327(f327(f101(f841(x65461,a831)),x65462),f327(f327(f48(x65463,f841(x65461,a831)),x65464),x65465)),x65462) % 153.71/153.54 [6559]~E(x65594,f176(f841(x65593,a831)))+E(f327(f327(f297(x65591),x65592),f327(f327(f47(x65593,f841(x65591,a831)),x65594),x65595)),f327(f327(f297(x65591),x65592),f176(f841(x65591,a831)))) % 153.71/153.54 [7389]E(f327(f327(f146(x73891),f327(f327(f138(x73892,x73891),x73893),x73894)),x73895),f327(x73893,f327(f327(f146(x73892),x73894),x73895)))+~P134(f327(f327(f228(a834),x73895),f327(f177(f835(x73892)),x73894))) % 153.71/153.54 [7457]E(f327(f327(f100(f841(x74571,a831)),f327(x74572,x74573)),f327(f327(f47(x74574,f841(x74571,a831)),x74575),x74572)),f327(f327(f47(x74574,f841(x74571,a831)),x74575),x74572))+~P134(f327(f327(f329(x74574),x74573),x74575)) % 153.71/153.54 [7458]E(f327(f327(f101(f841(x74581,a831)),f327(x74582,x74583)),f327(f327(f48(x74584,f841(x74581,a831)),x74585),x74582)),f327(f327(f48(x74584,f841(x74581,a831)),x74585),x74582))+~P134(f327(f327(f329(x74584),x74583),x74585)) % 153.71/153.54 [8053]~E(x80533,f176(f841(x80531,a831)))+E(f327(f327(f47(x80531,f841(x80532,a831)),x80533),f327(f327(f10(f841(x80532,a831),f841(x80532,a831),x80531),f327(f297(x80532),x80534)),x80535)),f176(f841(x80532,a831))) % 153.71/153.54 [8058]~P134(f327(f327(f329(x80584),x80583),x80585))+P134(f327(f327(f227(f841(x80581,a831)),f327(x80582,x80583)),f327(f327(f47(x80584,f841(x80581,a831)),x80585),x80582))) % 153.71/153.54 [8183]~E(f327(x81834,x81832),x81835)+P134(f327(f327(f329(x81831),x81832),f327(f300(x81831,x81833,x81834),f327(f327(f297(x81833),x81835),f176(f841(x81833,a831)))))) % 153.71/153.54 [8227]~P51(x82271,x82272,f327(f273(x82272,x82271),x82273))+E(f327(f327(f101(f841(x82271,a831)),f327(f272(x82272,x82271,x82273),x82274)),f327(f272(x82272,x82271,x82273),x82275)),f327(f272(x82272,x82271,x82273),f327(f327(f101(f841(x82272,a831)),x82274),x82275))) % 153.71/153.54 [8252]E(x82521,f2(a98))+E(f115(x82522,x82523,f327(x82524,f327(f327(f3(a98),x82521),f82(a98))),f327(f327(f9(x82522,a98,f836(x82523)),x82525),x82521)),f327(f188(x82522,x82523,x82524,x82525),x82521)) % 153.71/153.54 [8340]E(x83401,f176(f841(x83402,a831)))+E(f327(f327(f47(x83402,f841(x83403,a831)),x83401),f327(f327(f10(f841(x83403,a831),f841(x83403,a831),x83402),f327(f297(x83403),x83404)),x83405)),f327(f327(f297(x83403),x83404),f327(f327(f47(x83402,f841(x83403,a831)),x83401),x83405))) % 153.71/153.54 [8388]~P28(x83882,x83881,x83883,f234(f841(x83882,a831)))+E(f327(f327(f3(f841(x83881,a831)),f327(f298(x83882,x83881,x83883),x83884)),f327(f298(x83882,x83881,x83883),x83885)),f327(f298(x83882,x83881,x83883),f327(f327(f3(f841(x83882,a831)),x83884),x83885))) % 153.71/153.54 [8389]~P28(x83892,x83891,x83893,f234(f841(x83892,a831)))+E(f327(f327(f101(f841(x83891,a831)),f327(f298(x83892,x83891,x83893),x83894)),f327(f298(x83892,x83891,x83893),x83895)),f327(f298(x83892,x83891,x83893),f327(f327(f101(f841(x83892,a831)),x83894),x83895))) % 153.71/153.54 [8456]~P134(f327(f327(f72(x84561,x84562,x84565),x84563),x84564))+P134(f327(f327(f329(f840(x84561,x84562)),f327(f327(f236(x84561,x84562),x84563),x84564)),x84565)) % 153.71/153.54 [8484]P134(f327(f327(f329(x84841),x84842),f327(f254(x84843,x84841),x84844)))+~P134(f327(f327(f329(f840(x84843,x84841)),f327(f327(f236(x84843,x84841),x84845),x84842)),x84844)) % 153.71/153.54 [8486]P134(f327(f327(f329(x84861),x84862),f327(f256(x84861,x84863),x84864)))+~P134(f327(f327(f329(f840(x84861,x84863)),f327(f327(f236(x84861,x84863),x84862),x84865)),x84864)) % 153.71/153.54 [8607]P134(f327(f327(f72(x86071,x86072,x86073),x86074),x86075))+~P134(f327(f327(f329(f840(x86071,x86072)),f327(f327(f236(x86071,x86072),x86074),x86075)),x86073)) % 153.71/153.54 [8641]E(f327(x86411,x86412),x86413)+~P134(f327(f327(f329(x86414),x86412),f327(f300(x86414,x86415,x86411),f327(f327(f297(x86415),x86413),f176(f841(x86415,a831)))))) % 153.71/153.54 [8836]P134(f327(f327(f329(f840(x88361,x88362)),f327(f327(f236(x88361,x88362),x88363),x88364)),f327(f273(x88362,x88361),x88365)))+~P134(f327(f327(f329(f840(x88362,x88361)),f327(f327(f236(x88362,x88361),x88364),x88363)),x88365)) % 153.71/153.54 [8854]~P134(f327(f327(x88541,x88545),x88544))+P134(f327(f327(x88541,f327(f245(x88542,x88543),f327(f327(f236(x88542,x88543),x88544),x88545))),f327(f235(x88542,x88543),f327(f327(f236(x88542,x88543),x88544),x88545)))) % 153.71/153.54 [8881]~P134(f327(f327(f329(f840(x88812,x88811)),f327(f327(f236(x88812,x88811),x88814),x88813)),f327(f273(x88811,x88812),x88815)))+P134(f327(f327(f329(f840(x88811,x88812)),f327(f327(f236(x88811,x88812),x88813),x88814)),x88815)) % 153.71/153.54 [8909]~P134(f327(f327(f329(f840(x89093,x89091)),f327(f327(f236(x89093,x89091),x89095),x89092)),x89094))+P134(f327(f327(f329(x89091),x89092),f327(f272(x89093,x89091,x89094),f327(f327(f297(x89093),x89095),f176(f841(x89093,a831)))))) % 153.71/153.54 [8956]P134(f327(f327(f329(f840(x89561,x89562)),f327(f327(f236(x89561,x89562),x89563),x89564)),x89565))+~P134(f327(f327(f329(x89562),x89564),f327(f272(x89561,x89562,x89565),f327(f327(f297(x89561),x89563),f176(f841(x89561,a831)))))) % 153.71/153.54 [8974]E(f327(f327(f327(f76(x89741,f838(x89742)),f168(x89741,x89742,x89743,x89744)),x89745),f179(x89742)),f168(x89741,x89742,x89743,f327(f327(f3(f841(x89741,a831)),x89744),f327(f327(f297(x89741),x89745),f176(f841(x89741,a831))))))+~P134(f327(f327(f329(x89741),x89745),x89744)) % 153.71/153.54 [9038]~P65(x90381)+E(f327(f327(f8(a834,x90381),x90382),f290(a834,f327(f327(f84(a834),x90383),x90384),f327(f327(f84(a834),x90385),x90384))),f327(f327(f8(a834,x90381),f327(f327(f10(a834,x90381,a834),x90382),f327(f327(f9(a834,a834,a834),f84(a834)),x90384))),f290(a834,x90383,x90385))) % 153.71/153.54 [9057]~P65(x90571)+E(f327(f327(f8(a834,x90571),x90572),f327(f289(a834,f327(f327(f84(a834),x90573),x90574)),f327(f327(f84(a834),x90575),x90574))),f327(f327(f8(a834,x90571),f327(f327(f10(a834,x90571,a834),x90572),f327(f327(f9(a834,a834,a834),f84(a834)),x90574))),f327(f289(a834,x90573),x90575))) % 153.71/153.54 [9265]P134(f327(f327(f329(f840(f835(x92651),f835(x92651))),f327(f327(f236(f835(x92651),f835(x92651)),f327(f327(f136(x92651),x92652),x92653)),f327(f327(f136(x92651),x92654),x92653))),f141(x92651,x92655)))+~P134(f327(f327(f329(f840(x92651,x92651)),f327(f327(f236(x92651,x92651),x92652),x92654)),x92655)) % 153.71/153.54 [9377]E(f327(f327(f297(x93771),f521(x93772,x93773,x93774,x93775,x93771)),f522(x93772,x93773,x93774,x93775,x93771)),f327(f327(f297(x93771),x93774),x93773))+~P134(f327(f67(x93771,x93775,f327(f327(f297(x93771),x93774),x93773)),x93772)) % 153.71/153.54 [9378]E(f327(f327(f297(x93781),f523(x93782,x93783,x93784,x93785,x93781)),f524(x93782,x93783,x93784,x93785,x93781)),f327(f327(f297(x93781),x93784),x93783))+~P134(f327(f67(x93781,x93785,f327(f327(f297(x93781),x93784),x93783)),x93782)) % 153.71/153.54 [9457]P134(f327(f327(f329(x94571),f627(x94572,x94573,x94574,x94575,x94571)),x94574))+P134(f327(f327(f327(f48(x94571,f841(x94575,a831)),x94574),x94573),x94572)) % 153.71/153.54 [9462]P134(f327(f327(f329(x94621),f620(x94622,x94623,x94621,x94624,x94625)),x94623))+P134(f327(f327(f329(x94625),x94624),f327(f327(f48(x94621,f841(x94625,a831)),x94623),x94622))) % 153.71/153.54 [9470]P134(f327(f327(f329(x94701),f628(x94702,x94703,x94701,x94704,x94705)),x94703))+P134(f327(f327(f227(f841(x94705,a831)),x94704),f327(f327(f48(x94701,f841(x94705,a831)),x94703),x94702))) % 153.71/153.54 [9472]P134(f327(f327(x94721,f373(x94722,x94721,x94723,x94724,x94725)),x94722))+~P134(f327(f327(f327(f47(x94725,f841(x94724,a831)),x94723),x94721),x94722)) % 153.71/153.54 [9474]P134(f327(f327(f329(x94741),f373(x94742,x94743,x94744,x94745,x94741)),x94744))+~P134(f327(f327(f327(f47(x94741,f841(x94745,a831)),x94744),x94743),x94742)) % 153.71/153.54 [9484]P134(f327(f327(f329(x94841),f408(x94842,x94843,x94841,x94844,x94845)),x94843))+~P134(f327(f327(f329(x94845),x94844),f327(f327(f47(x94841,f841(x94845,a831)),x94843),x94842))) % 153.71/153.54 [9489]P134(f327(f327(f329(x94891),x94892),f327(x94893,f408(x94893,x94894,x94895,x94892,x94891))))+~P134(f327(f327(f329(x94891),x94892),f327(f327(f47(x94895,f841(x94891,a831)),x94894),x94893))) % 153.71/153.54 [9571]~P134(f327(f327(x95714,f627(x95715,x95714,x95713,x95712,x95711)),x95715))+P134(f327(f327(f327(f48(x95711,f841(x95712,a831)),x95713),x95714),x95715)) % 153.71/153.54 [9574]~P134(f327(f327(f329(x95741),x95742),f327(x95745,f620(x95745,x95744,x95743,x95742,x95741))))+P134(f327(f327(f329(x95741),x95742),f327(f327(f48(x95743,f841(x95741,a831)),x95744),x95745))) % 153.71/153.54 [9577]~P134(f327(f327(f227(f841(x95771,a831)),x95772),f327(x95775,f628(x95775,x95774,x95773,x95772,x95771))))+P134(f327(f327(f227(f841(x95771,a831)),x95772),f327(f327(f48(x95773,f841(x95771,a831)),x95774),x95775))) % 153.71/153.54 [9633]~P134(f327(f327(f329(x96331),f521(x96335,x96334,x96333,x96332,x96331)),f522(x96335,x96334,x96333,x96332,x96331)))+~P134(f327(f67(x96331,x96332,f327(f327(f297(x96331),x96333),x96334)),x96335)) % 153.71/153.54 [9634]~P134(f327(f327(f329(x96341),f523(x96345,x96344,x96343,x96342,x96341)),f524(x96345,x96344,x96343,x96342,x96341)))+~P134(f327(f67(x96341,x96342,f327(f327(f297(x96341),x96343),x96344)),x96345)) % 153.71/153.54 [9635]~P134(f327(f327(f329(f840(x96351,x96351)),f327(f327(f236(x96351,x96351),x96352),x96355)),f327(f327(f169(f840(x96351,x96351),a831),f327(a111,x96354)),x96353)))+P134(f327(f327(f329(f840(x96351,x96351)),f327(f327(f236(x96351,x96351),x96352),f665(x96353,x96354,x96355,x96352,x96351))),f327(f327(f169(f840(x96351,x96351),a831),x96354),x96353))) % 153.71/153.54 [9642]P134(f327(f71(x96421,x96421,x96422,f521(x96423,x96424,x96425,x96422,x96421),f522(x96423,x96424,x96425,x96422,x96421)),x96423))+~P134(f327(f67(x96421,x96422,f327(f327(f297(x96421),x96425),x96424)),x96423)) % 153.71/153.54 [9643]P134(f327(f71(x96431,x96431,x96432,f523(x96433,x96434,x96435,x96432,x96431),f524(x96433,x96434,x96435,x96432,x96431)),x96433))+~P134(f327(f67(x96431,x96432,f327(f327(f297(x96431),x96435),x96434)),x96433)) % 153.71/153.54 [9653]~P97(x96531)+P18(x96531,f327(f327(f138(x96532,x96531),x96533),f327(f123(x96532,f327(f327(f9(x96532,x96531,a831),f327(f327(f10(x96531,f841(x96531,a831),x96532),a324),x96533)),f327(x96534,x96535))),x96535))) % 153.71/153.54 [9708]~P134(f327(f327(f329(x97082),x97085),f327(f272(x97081,x97082,x97084),x97083)))+P134(f327(f327(f329(f840(x97081,x97082)),f327(f327(f236(x97081,x97082),f473(x97083,x97084,x97081,x97085,x97082)),x97085)),x97084)) % 153.71/153.54 [9709]~P134(f327(f327(f329(x97092),x97095),f327(f272(x97091,x97092,x97094),x97093)))+P134(f327(f327(f329(f840(x97091,x97092)),f327(f327(f236(x97091,x97092),f515(x97093,x97094,x97091,x97095,x97092)),x97095)),x97094)) % 153.71/153.54 [9729]~P134(f327(f327(f329(f840(x97291,x97291)),f327(f327(f236(x97291,x97291),x97295),x97294)),f327(f327(f169(f840(x97291,x97291),a831),f327(a111,x97293)),x97292)))+P134(f327(f327(f329(f840(x97291,x97291)),f327(f327(f236(x97291,x97291),f665(x97292,x97293,x97294,x97295,x97291)),x97294)),x97292)) % 153.71/153.54 [9732]~P134(f327(f327(f329(f840(x97321,x97321)),f327(f327(f236(x97321,x97321),x97325),x97324)),f327(f327(f169(f840(x97321,x97321),a831),f327(a111,x97323)),x97322)))+P134(f327(f327(f329(f840(x97321,x97321)),f327(f327(f236(x97321,x97321),f663(x97322,x97323,x97324,x97325,x97321)),x97324)),f327(f327(f169(f840(x97321,x97321),a831),x97323),x97322))) % 153.71/153.54 [9733]~P134(f327(f327(f329(f840(x97331,x97331)),f327(f327(f236(x97331,x97331),x97335),x97334)),f327(f327(f169(f840(x97331,x97331),a831),f327(a111,x97333)),x97332)))+P134(f327(f327(f329(f840(x97331,x97331)),f327(f327(f236(x97331,x97331),f664(x97332,x97333,x97334,x97335,x97331)),x97334)),f327(f327(f169(f840(x97331,x97331),a831),x97333),x97332))) % 153.71/153.54 [9734]~P134(f327(f327(f329(f840(f835(x97341),f835(x97341))),f327(f327(f236(f835(x97341),f835(x97341)),x97345),f327(f327(f136(x97341),x97344),x97343))),f142(x97341,x97342)))+P134(f327(f327(f329(f840(x97341,x97341)),f327(f327(f236(x97341,x97341),f700(x97342,x97343,x97344,x97345,x97341)),x97344)),x97342)) % 153.71/153.54 [6960]E(x69601,f179(x69602))+E(f165(x69603,x69602,f327(f327(f327(f76(x69603,f838(x69602)),x69604),x69605),x69601)),f327(f327(f297(x69603),x69605),f165(x69603,x69602,x69604))) % 153.71/153.54 [7478]~E(x74783,f176(f841(x74782,a831)))+E(f327(f327(f100(f841(x74781,a831)),f327(f327(f47(x74782,f841(x74781,a831)),x74783),x74784)),x74785),x74785) % 153.71/153.54 [7479]~E(x74793,f176(f841(x74792,a831)))+E(f327(f327(f101(f841(x74791,a831)),f327(f327(f48(x74792,f841(x74791,a831)),x74793),x74794)),x74795),x74795) % 153.71/153.54 [7839]~E(x78395,f179(x78392))+E(f165(x78391,x78392,f327(f327(f327(f76(x78391,f838(x78392)),x78393),x78394),x78395)),f327(f327(f3(f841(x78391,a831)),f165(x78391,x78392,x78393)),f327(f327(f297(x78391),x78394),f176(f841(x78391,a831))))) % 153.71/153.54 [7906]~E(x79063,f176(f841(x79062,a831)))+E(f327(f327(f3(f841(x79061,a831)),f327(f327(f48(x79062,f841(x79061,a831)),x79063),x79064)),x79065),f327(f327(f3(f841(x79061,a831)),f234(f841(x79061,a831))),x79065)) % 153.71/153.54 [8029]E(f327(f327(f143(x80291,f327(f327(f122(x80291),x80292),x80293)),x80294),x80295),f327(f327(f122(x80291),f327(f327(f143(x80291,x80292),x80294),x80295)),x80293))+~P134(f327(f327(f228(a834),x80294),f327(f177(f835(x80291)),x80292))) % 153.71/153.54 [8160]P134(f327(f327(f329(x81601),x81605),f327(f154(x81601),x81603)))+E(f327(f162(x81601,x81602,f327(f327(f163(x81601,x81602),x81603),f327(f327(f138(x81601,x81602),x81604),x81603))),x81605),f179(x81602)) % 153.71/153.54 [8266]~P134(f327(f327(f329(x82661),x82665),f327(f154(x82661),x82663)))+E(f327(f162(x82661,x82662,f327(f327(f163(x82661,x82662),x82663),f327(f327(f138(x82661,x82662),x82664),x82663))),x82665),f327(f222(x82662),f327(x82664,x82665))) % 153.71/153.54 [8293]E(f327(f327(f146(x82931),f327(f327(f138(a834,x82931),x82932),f126(a834,f327(f289(a834,x82933),x82934)))),x82935),f327(x82932,f327(f327(f84(a834),x82933),x82935)))+~P134(f327(f327(f228(a834),x82935),f327(f327(f3(a834),x82934),x82933))) % 153.71/153.54 [8307]E(x83071,f2(a98))+E(f119(x83072,x83073,f327(x83074,f327(f327(f3(a98),x83071),f82(a98))),f327(f327(f9(x83072,a98,f836(f838(x83073))),x83075),x83071)),f327(f186(x83072,x83073,x83074,x83075),x83071)) % 153.71/153.54 [8330]~E(x83303,f176(f841(x83301,a831)))+E(f327(f327(f47(x83301,f841(x83302,a831)),x83303),f327(f327(f10(f841(x83302,a831),f841(x83302,a831),x83301),f327(f100(f841(x83302,a831)),x83304)),x83305)),f176(f841(x83302,a831))) % 153.71/153.54 [8331]~E(x83313,f176(f841(x83311,a831)))+E(f327(f327(f48(x83311,f841(x83312,a831)),x83313),f327(f327(f10(f841(x83312,a831),f841(x83312,a831),x83311),f327(f3(f841(x83312,a831)),x83314)),x83315)),f234(f841(x83312,a831))) % 153.71/153.54 [8332]~E(x83323,f176(f841(x83321,a831)))+E(f327(f327(f48(x83321,f841(x83322,a831)),x83323),f327(f327(f10(f841(x83322,a831),f841(x83322,a831),x83321),f327(f101(f841(x83322,a831)),x83324)),x83325)),f234(f841(x83322,a831))) % 153.71/153.54 [8334]~P133(x83342)+E(f327(f327(f8(x83341,x83342),f327(f327(f10(x83342,x83342,x83341),f327(f85(x83342),x83343)),x83344)),x83345),f327(f327(f85(x83342),x83343),f327(f327(f8(x83341,x83342),x83344),x83345))) % 153.71/153.54 [8592]E(x85921,f176(f841(x85922,a831)))+E(f327(f327(f47(x85922,f841(x85923,a831)),x85921),f327(f327(f10(f841(x85923,a831),f841(x85923,a831),x85922),f327(f100(f841(x85923,a831)),x85924)),x85925)),f327(f327(f100(f841(x85923,a831)),x85924),f327(f327(f47(x85922,f841(x85923,a831)),x85921),x85925))) % 153.71/153.54 [8593]E(x85931,f176(f841(x85932,a831)))+E(f327(f327(f48(x85932,f841(x85933,a831)),x85931),f327(f327(f10(f841(x85933,a831),f841(x85933,a831),x85932),f327(f3(f841(x85933,a831)),x85934)),x85935)),f327(f327(f3(f841(x85933,a831)),x85934),f327(f327(f47(x85932,f841(x85933,a831)),x85931),x85935))) % 153.71/153.54 [8594]E(x85941,f176(f841(x85942,a831)))+E(f327(f327(f48(x85942,f841(x85943,a831)),x85941),f327(f327(f10(f841(x85943,a831),f841(x85943,a831),x85942),f327(f101(f841(x85943,a831)),x85944)),x85945)),f327(f327(f101(f841(x85943,a831)),x85944),f327(f327(f48(x85942,f841(x85943,a831)),x85941),x85945))) % 153.71/153.54 [9007]~P28(x90072,x90071,x90073,f327(f327(f100(f841(x90072,a831)),x90074),x90075))+E(f327(f327(f101(f841(x90071,a831)),f327(f298(x90072,x90071,x90073),f327(f327(f3(f841(x90072,a831)),x90074),x90075))),f327(f298(x90072,x90071,x90073),f327(f327(f3(f841(x90072,a831)),x90075),x90074))),f176(f841(x90071,a831))) % 153.71/153.54 [9261]~P134(f327(f327(f227(f841(x92613,a831)),f327(f272(x92611,x92613,x92614),x92612)),x92615))+P134(f327(f327(f227(f841(x92611,a831)),x92612),f327(f83(f841(x92611,a831)),f327(f272(x92613,x92611,f327(f273(x92611,x92613),x92614)),f327(f83(f841(x92613,a831)),x92615))))) % 153.71/153.54 [9284]~P28(x92841,x92842,x92843,f327(f327(f297(x92841),x92844),x92845))+~P134(f327(f327(f329(x92842),f327(x92843,x92844)),f327(f298(x92841,x92842,x92843),f327(f327(f3(f841(x92841,a831)),x92845),f327(f327(f297(x92841),x92844),f176(f841(x92841,a831))))))) % 153.71/153.54 [9333]P134(f327(f327(f227(f841(x93331,a831)),f327(f272(x93332,x93331,x93333),x93334)),x93335))+~P134(f327(f327(f227(f841(x93332,a831)),x93334),f327(f83(f841(x93332,a831)),f327(f272(x93331,x93332,f327(f273(x93332,x93331),x93333)),f327(f83(f841(x93331,a831)),x93335))))) % 153.71/153.54 [9407]~P76(x94071)+P134(f327(f327(f227(x94071),f327(f79(x94071),f327(f327(f3(x94071),f327(f327(f84(x94071),x94072),x94073)),f327(f327(f84(x94071),x94074),x94075)))),f327(f327(f84(x94071),f327(f79(x94071),f327(f327(f3(x94071),x94072),x94074))),f327(f79(x94071),f327(f327(f3(x94071),x94073),x94075))))) % 153.71/153.54 [9502]P134(f327(f327(f329(x95021),f382(x95022,x95023,x95024,x95021,x95025)),x95024))+P134(f327(f327(f227(f841(x95025,a831)),f327(f327(f47(x95021,f841(x95025,a831)),x95024),x95023)),x95022)) % 153.71/153.54 [9673]~P134(f327(f327(f227(f841(x96731,a831)),f327(x96734,f382(x96735,x96734,x96733,x96732,x96731))),x96735))+P134(f327(f327(f227(f841(x96731,a831)),f327(f327(f47(x96732,f841(x96731,a831)),x96733),x96734)),x96735)) % 153.71/153.54 [8437]E(f327(f327(f122(x84371),x84372),f327(f327(f143(x84371,x84373),f327(f327(f3(a834),x84374),f327(f177(f835(x84371)),x84372))),x84375)),f327(f327(f143(x84371,f327(f327(f122(x84371),x84372),x84373)),x84374),x84375))+P134(f327(f327(f228(a834),x84374),f327(f177(f835(x84371)),x84372))) % 153.71/153.54 [8462]~P132(x84621)+E(f327(f327(f84(x84621),f327(f327(f85(x84621),x84622),x84623)),f327(f327(f84(x84621),f327(f327(f85(x84621),x84624),x84623)),x84625)),f327(f327(f84(x84621),f327(f327(f85(x84621),f327(f327(f84(x84621),x84622),x84624)),x84623)),x84625)) % 153.71/153.54 [8965]~P133(x89651)+E(f327(f148(x89651),f327(f327(f138(x89652,x89651),f327(f327(f10(x89651,x89651,x89652),f327(f85(x89651),x89653)),x89654)),x89655)),f327(f327(f85(x89651),x89653),f327(f148(x89651),f327(f327(f138(x89652,x89651),x89654),x89655)))) % 153.71/153.54 [9340]~P133(x93402)+E(f327(f327(f8(x93401,x93402),f327(f327(f9(x93401,x93402,x93402),f327(f327(f10(x93402,f841(x93402,x93402),x93401),f85(x93402)),x93403)),x93404)),x93405),f327(f327(f85(x93402),f327(f327(f8(x93401,x93402),x93403),x93405)),x93404)) % 153.71/153.54 [9341]~P59(x93412)+E(f327(f327(f8(x93411,x93412),f327(f327(f9(x93411,x93412,x93412),f327(f327(f10(x93412,f841(x93412,x93412),x93411),f278(x93412)),x93413)),x93414)),x93415),f327(f327(f278(x93412),f327(f327(f8(x93411,x93412),x93413),x93415)),x93414)) % 153.71/153.54 [9348]~P65(x93482)+E(f327(f327(f8(x93481,x93482),f327(f327(f20(x93481,x93482,x93482),f327(f327(f10(x93482,f841(x93482,x93482),x93481),f84(x93482)),x93483)),x93484)),x93485),f327(f327(f84(x93482),f327(f327(f8(x93481,x93482),x93483),x93485)),f327(f327(f8(x93481,x93482),x93484),x93485))) % 153.71/153.54 [9349]~P6(x93492)+E(f327(f327(f8(x93491,x93492),f327(f327(f20(x93491,x93492,x93492),f327(f327(f10(x93492,f841(x93492,x93492),x93491),f3(x93492)),x93493)),x93494)),x93495),f327(f327(f3(x93492),f327(f327(f8(x93491,x93492),x93493),x93495)),f327(f327(f8(x93491,x93492),x93494),x93495))) % 153.71/153.54 [9350]~P68(x93502)+E(f327(f327(f11(x93501,x93502),f327(f327(f20(x93501,x93502,x93502),f327(f327(f10(x93502,f841(x93502,x93502),x93501),f85(x93502)),x93503)),x93504)),x93505),f327(f327(f85(x93502),f327(f327(f11(x93501,x93502),x93503),x93505)),f327(f327(f11(x93501,x93502),x93504),x93505))) % 153.71/153.54 [9390]~E(x93903,f176(f841(x93901,a831)))+E(f327(f327(f47(x93901,f841(x93902,a831)),x93903),f327(f327(f9(x93901,f841(x93902,a831),f841(x93902,a831)),f327(f327(f10(f841(x93902,a831),f841(f841(x93902,a831),f841(x93902,a831)),x93901),f100(f841(x93902,a831))),x93904)),x93905)),f176(f841(x93902,a831))) % 153.71/153.54 [9391]~E(x93913,f176(f841(x93911,a831)))+E(f327(f327(f48(x93911,f841(x93912,a831)),x93913),f327(f327(f9(x93911,f841(x93912,a831),f841(x93912,a831)),f327(f327(f10(f841(x93912,a831),f841(f841(x93912,a831),f841(x93912,a831)),x93911),f3(f841(x93912,a831))),x93914)),x93915)),f234(f841(x93912,a831))) % 153.71/153.54 [9392]~E(x93923,f176(f841(x93921,a831)))+E(f327(f327(f48(x93921,f841(x93922,a831)),x93923),f327(f327(f9(x93921,f841(x93922,a831),f841(x93922,a831)),f327(f327(f10(f841(x93922,a831),f841(f841(x93922,a831),f841(x93922,a831)),x93921),f101(f841(x93922,a831))),x93924)),x93925)),f234(f841(x93922,a831))) % 153.71/153.54 [9417]E(x94171,f176(f841(x94172,a831)))+E(f327(f327(f47(x94172,f841(x94173,a831)),x94171),f327(f327(f9(x94172,f841(x94173,a831),f841(x94173,a831)),f327(f327(f10(f841(x94173,a831),f841(f841(x94173,a831),f841(x94173,a831)),x94172),f100(f841(x94173,a831))),x94174)),x94175)),f327(f327(f100(f841(x94173,a831)),f327(f327(f47(x94172,f841(x94173,a831)),x94171),x94174)),x94175)) % 153.71/153.54 [9418]E(x94181,f176(f841(x94182,a831)))+E(f327(f327(f48(x94182,f841(x94183,a831)),x94181),f327(f327(f9(x94182,f841(x94183,a831),f841(x94183,a831)),f327(f327(f10(f841(x94183,a831),f841(f841(x94183,a831),f841(x94183,a831)),x94182),f3(f841(x94183,a831))),x94184)),x94185)),f327(f327(f3(f841(x94183,a831)),f327(f327(f48(x94182,f841(x94183,a831)),x94181),x94184)),x94185)) % 153.71/153.54 [9419]E(x94191,f176(f841(x94192,a831)))+E(f327(f327(f48(x94192,f841(x94193,a831)),x94191),f327(f327(f9(x94192,f841(x94193,a831),f841(x94193,a831)),f327(f327(f10(f841(x94193,a831),f841(f841(x94193,a831),f841(x94193,a831)),x94192),f101(f841(x94193,a831))),x94194)),x94195)),f327(f327(f101(f841(x94193,a831)),f327(f327(f48(x94192,f841(x94193,a831)),x94191),x94194)),x94195)) % 153.71/153.54 [9011]~P134(f327(f327(f227(a834),x90111),x90114))+E(f327(f327(f3(a834),f327(f327(f84(a834),f327(f327(f85(a834),x90111),x90112)),x90113)),f327(f327(f84(a834),f327(f327(f85(a834),x90114),x90112)),x90115)),f327(f327(f3(a834),x90113),f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f3(a834),x90114),x90111)),x90112)),x90115))) % 153.71/153.54 [9555]~P133(x95551)+E(f327(f148(x95551),f327(f327(f138(x95552,x95551),f327(f327(f9(x95552,x95551,x95551),f327(f327(f10(x95551,f841(x95551,x95551),x95552),f85(x95551)),x95553)),x95554)),x95555)),f327(f327(f85(x95551),f327(f148(x95551),f327(f327(f138(x95552,x95551),x95553),x95555))),x95554)) % 153.71/153.54 [9561]~P65(x95611)+E(f327(f148(x95611),f327(f327(f138(x95612,x95611),f327(f327(f20(x95612,x95611,x95611),f327(f327(f10(x95611,f841(x95611,x95611),x95612),f84(x95611)),x95613)),x95614)),x95615)),f327(f327(f84(x95611),f327(f148(x95611),f327(f327(f138(x95612,x95611),x95613),x95615))),f327(f148(x95611),f327(f327(f138(x95612,x95611),x95614),x95615)))) % 153.71/153.54 [9562]~P6(x95621)+E(f327(f148(x95621),f327(f327(f138(x95622,x95621),f327(f327(f20(x95622,x95621,x95621),f327(f327(f10(x95621,f841(x95621,x95621),x95622),f3(x95621)),x95623)),x95624)),x95625)),f327(f327(f3(x95621),f327(f148(x95621),f327(f327(f138(x95622,x95621),x95623),x95625))),f327(f148(x95621),f327(f327(f138(x95622,x95621),x95624),x95625)))) % 153.71/153.54 [9230]~P134(f327(f327(f227(a834),x92304),x92301))+E(f327(f327(f3(a834),f327(f327(f84(a834),f327(f327(f85(a834),x92301),x92302)),x92303)),f327(f327(f84(a834),f327(f327(f85(a834),x92304),x92302)),x92305)),f327(f327(f3(a834),f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f3(a834),x92301),x92304)),x92302)),x92303)),x92305)) % 153.71/153.54 [5097]E(x50971,x50972)+~E(f33(x50973,x50974,x50971),f33(x50975,x50976,x50972)) % 153.71/153.54 [5098]E(x50981,x50982)+~E(f33(x50983,x50981,x50984),f33(x50985,x50982,x50986)) % 153.71/153.54 [5099]E(x50991,x50992)+~E(f33(x50991,x50993,x50994),f33(x50992,x50995,x50996)) % 153.71/153.54 [5100]E(x51001,x51002)+~E(f31(x51003,x51004,x51001),f31(x51005,x51006,x51002)) % 153.71/153.54 [5101]E(x51011,x51012)+~E(f31(x51013,x51011,x51014),f31(x51015,x51012,x51016)) % 153.71/153.54 [5102]E(x51021,x51022)+~E(f31(x51021,x51023,x51024),f31(x51022,x51025,x51026)) % 153.71/153.54 [5103]E(x51031,x51032)+~E(f32(x51033,x51034,x51031),f32(x51035,x51036,x51032)) % 153.71/153.54 [5104]E(x51041,x51042)+~E(f32(x51043,x51041,x51044),f32(x51045,x51042,x51046)) % 153.71/153.54 [5105]E(x51051,x51052)+~E(f32(x51051,x51053,x51054),f32(x51052,x51055,x51056)) % 153.71/153.54 [7151]E(x71511,x71512)+~E(f210(x71513,x71514,x71515,x71511),f210(x71513,x71514,x71516,x71512)) % 153.71/153.54 [7152]E(x71521,x71522)+~E(f210(x71523,x71524,x71521,x71525),f210(x71523,x71524,x71522,x71526)) % 153.71/153.54 [6590]E(f327(f166(x65901,x65902,x65903,x65904),x65905),f327(f222(x65902),x65906))+~E(f327(x65904,x65905),f327(f222(x65902),x65906)) % 153.71/153.54 [6740]E(f327(f224(f838(x67401),x67402,f179(x67401),x67403),f327(x67404,x67405)),f327(x67403,x67406))+~E(f327(x67404,x67405),f327(f222(x67402),x67406)) % 153.71/153.54 [8277]~P23(x82775,x82771,x82772,x82776)+E(f327(f77(x82771,x82771,x82771,f327(x82772,x82773)),f327(x82772,x82774)),f327(f77(x82771,x82771,x82771,f327(x82772,x82774)),f327(x82772,x82773))) % 153.71/153.54 [8497]~P53(x84974,x84975,x84972,x84971,x84976)+E(f327(x84971,f327(x84972,x84973)),x84973) % 153.71/153.54 [8639]P28(x86391,x86392,x86393,x86394)+~P28(x86391,x86395,f327(f77(x86392,x86395,x86391,x86396),x86393),x86394) % 153.71/153.54 [8716]~P28(x87164,x87162,f327(f77(x87161,x87162,x87164,x87163),x87165),x87166)+P28(x87161,x87162,x87163,f327(f298(x87164,x87161,x87165),x87166)) % 153.71/153.54 [9351]P134(f327(f66(x93511),x93512))+~P134(f327(f71(x93511,x93513,x93514,x93515,x93512),x93516)) % 153.71/153.54 [9361]~P134(f327(f327(f329(x93614),x93613),f284(x93614,x93611,x93615,x93612,x93616)))+P134(f327(f327(x93611,x93612),x93613)) % 153.71/153.54 [9362]~P134(f327(f327(f329(x93624),x93623),f287(x93624,x93625,x93621,x93622,x93626)))+P134(f327(f327(x93621,x93622),x93623)) % 153.71/153.54 [9363]~P134(f327(f327(f329(x93634),x93632),f284(x93634,x93635,x93631,x93636,x93633)))+P134(f327(f327(x93631,x93632),x93633)) % 153.71/153.54 [9364]~P134(f327(f327(f329(x93644),x93642),f287(x93644,x93641,x93645,x93646,x93643)))+P134(f327(f327(x93641,x93642),x93643)) % 153.71/153.54 [5597]E(x55971,x55972)+~E(f327(f327(f236(x55973,x55974),x55975),x55971),f327(f327(f236(x55973,x55974),x55976),x55972)) % 153.71/153.54 [5599]E(x55991,x55992)+~E(f327(f327(f236(x55993,x55994),x55991),x55995),f327(f327(f236(x55993,x55994),x55992),x55996)) % 153.71/153.54 [5744]~P20(x57445,x57446,x57441)+E(f327(f327(x57441,x57442),f327(f327(x57441,x57443),x57444)),f327(f327(x57441,x57443),f327(f327(x57441,x57442),x57444))) % 153.71/153.54 [7223]~P31(x72234,x72231,f327(f327(f136(x72234),x72232),x72235),f327(f327(f136(x72234),x72233),x72236))+P134(f327(f327(x72231,x72232),x72233)) % 153.71/153.54 [7596]P31(x75961,x75962,x75963,x75964)+~P31(x75961,x75962,f327(f327(f136(x75961),x75965),x75963),f327(f327(f136(x75961),x75966),x75964)) % 153.71/153.54 [8583]~P53(x85835,x85831,x85832,x85836,x85834)+P134(f327(f327(f329(x85831),f327(x85832,x85833)),x85834)) % 153.71/153.54 [8738]E(f327(f80(x87381,x87382,x87383,x87384,x87385),x87386),f327(x87383,x87386))+P134(f327(f327(f329(x87381),x87386),x87385)) % 153.71/153.54 [8754]~E(x87543,f327(f327(f136(x87541),x87545),x87546))+P134(f327(f327(f329(f840(f835(x87541),f835(x87541))),f327(f327(f236(f835(x87541),f835(x87541)),x87542),f327(f327(f122(x87541),x87542),x87543))),f133(x87541,x87544))) % 153.71/153.54 [8758]E(f327(f80(x87581,x87582,x87583,x87584,x87585),x87586),f327(x87584,x87586))+~P134(f327(f327(f329(x87581),x87586),x87585)) % 153.71/153.54 [9429]~P27(x94294,x94292,x94295,x94293,x94296,x94291)+E(f327(x94291,f176(f841(x94292,a831))),x94293) % 153.71/153.54 [9636]~E(f327(x96364,f327(f235(x96361,x96363),x96365)),f327(x96366,f327(f235(x96361,x96363),x96365)))+E(f327(f247(x96361,x96362,x96363,x96363,x96364,f39(x96363)),x96365),f327(f247(x96361,x96362,x96363,x96363,x96366,f39(x96363)),x96365)) % 153.71/153.54 [9637]~E(f327(x96374,f327(f245(x96371,x96372),x96375)),f327(x96376,f327(f245(x96371,x96372),x96375)))+E(f327(f247(x96371,x96371,x96372,x96373,f39(x96371),x96374),x96375),f327(f247(x96371,x96371,x96372,x96373,f39(x96371),x96376),x96375)) % 153.71/153.54 [9696]~E(f327(f247(x96962,x96966,x96963,x96963,x96961,f39(x96963)),x96964),f327(f247(x96962,x96966,x96963,x96963,x96965,f39(x96963)),x96964))+E(f327(x96961,f327(f235(x96962,x96963),x96964)),f327(x96965,f327(f235(x96962,x96963),x96964))) % 153.71/153.54 [9697]~E(f327(f247(x96972,x96972,x96973,x96976,f39(x96972),x96971),x96974),f327(f247(x96972,x96972,x96973,x96976,f39(x96972),x96975),x96974))+E(f327(x96971,f327(f245(x96972,x96973),x96974)),f327(x96975,f327(f245(x96972,x96973),x96974))) % 153.71/153.54 [8673]P134(f327(f327(f329(x86731),x86732),x86733))+~P134(f327(f327(f329(f840(x86731,x86734)),f327(f327(f236(x86731,x86734),x86732),x86735)),f327(f327(f243(x86731,x86734),x86733),x86736))) % 153.71/153.54 [8688]P134(f327(f327(f329(x86881),x86882),f327(x86883,x86884)))+~P134(f327(f327(f329(f840(x86885,x86881)),f327(f327(f236(x86885,x86881),x86884),x86882)),f327(f327(f243(x86885,x86881),x86886),x86883))) % 153.71/153.54 [8987]P134(f327(f327(f329(x89871),x89874),f165(x89871,x89872,x89876)))+E(f166(x89871,x89872,f327(f327(f327(f76(x89871,f838(x89872)),x89873),x89874),f327(f222(x89872),x89875)),x89876),f327(f327(f327(f76(x89871,f838(x89872)),f166(x89871,x89872,x89873,x89876)),x89874),f327(f222(x89872),x89875))) % 153.71/153.54 [9078]P134(f327(f327(f329(f840(x90781,x90781)),f327(f327(f236(x90781,x90781),f327(x90782,x90783)),f327(x90782,x90784))),x90785))+~P134(f327(f327(f329(f840(x90786,x90786)),f327(f327(f236(x90786,x90786),x90783),x90784)),f327(f327(f275(x90781,x90786),x90785),x90782))) % 153.71/153.54 [9090]~P134(f327(f327(f329(f840(x90904,x90904)),f327(f327(f236(x90904,x90904),f327(x90906,x90902)),f327(x90906,x90903))),x90905))+P134(f327(f327(f329(f840(x90901,x90901)),f327(f327(f236(x90901,x90901),x90902),x90903)),f327(f327(f275(x90904,x90901),x90905),x90906))) % 153.71/153.54 [9699]E(f327(f327(f236(x96991,x96992),f685(x96993,x96994,x96995,x96996,x96992,x96991)),f686(x96993,x96994,x96995,x96996,x96992,x96991)),x96996)+~P134(f327(f327(f329(f840(x96991,x96992)),x96996),f327(f327(f276(x96991,x96995,x96992),x96994),x96993))) % 153.71/153.54 [9903]~P134(f327(f327(f329(f840(x99031,x99036)),x99035),f327(f327(f276(x99031,x99032,x99036),x99034),x99033)))+P134(f327(f327(f329(f840(x99031,x99032)),f327(f327(f236(x99031,x99032),f685(x99033,x99034,x99032,x99035,x99036,x99031)),f687(x99033,x99034,x99032,x99035,x99036,x99031))),x99034)) % 153.71/153.54 [9904]~P134(f327(f327(f329(f840(x99046,x99042)),x99045),f327(f327(f276(x99046,x99041,x99042),x99044),x99043)))+P134(f327(f327(f329(f840(x99041,x99042)),f327(f327(f236(x99041,x99042),f687(x99043,x99044,x99041,x99045,x99042,x99046)),f686(x99043,x99044,x99041,x99045,x99042,x99046))),x99043)) % 153.71/153.54 [6029]~E(x60296,x60294)+E(f327(f327(f327(f327(f76(x60291,x60292),x60293),x60294),x60295),x60296),x60295) % 153.71/153.54 [6081]E(x60811,x60812)+E(f327(f327(f327(f327(f76(x60813,x60814),x60815),x60812),x60816),x60811),f327(x60815,x60811)) % 153.71/153.54 [7663]~P9(x76632)+E(f327(f327(f47(x76631,x76632),x76633),f327(f327(f9(x76631,x76634,x76632),x76635),x76636)),f327(f327(f327(f47(x76631,f841(x76634,x76632)),x76633),x76635),x76636)) % 153.71/153.54 [7664]~P9(x76642)+E(f327(f327(f48(x76641,x76642),x76643),f327(f327(f9(x76641,x76644,x76642),x76645),x76646)),f327(f327(f327(f48(x76641,f841(x76644,x76642)),x76643),x76645),x76646)) % 153.71/153.54 [8419]E(f327(f327(f47(x84191,f841(x84192,a831)),x84193),f327(f327(f10(f841(x84192,a831),f841(x84192,a831),x84191),f327(f297(x84192),x84194)),x84195)),f327(f327(f297(x84192),x84194),f327(f327(f47(x84191,f841(x84192,a831)),x84193),x84195)))+~P134(f327(f327(f329(x84191),x84196),x84193)) % 153.71/153.54 [8798]~P9(x87982)+E(f327(f327(f47(x87981,x87982),x87983),f327(f327(f10(f841(x87984,x87982),x87982,x87981),f327(f47(x87984,x87982),x87985)),f327(f9(x87984,x87981,x87982),x87986))),f327(f327(f47(x87984,x87982),x87985),f327(f327(f10(f841(x87981,x87982),x87982,x87984),f327(f47(x87981,x87982),x87983)),x87986))) % 153.71/153.54 [8799]~P9(x87992)+E(f327(f327(f48(x87991,x87992),x87993),f327(f327(f10(f841(x87994,x87992),x87992,x87991),f327(f48(x87994,x87992),x87995)),f327(f9(x87994,x87991,x87992),x87996))),f327(f327(f48(x87994,x87992),x87995),f327(f327(f10(f841(x87991,x87992),x87992,x87994),f327(f48(x87991,x87992),x87993)),x87996))) % 153.71/153.54 [8995]P134(f327(f327(f329(x89951),x89952),f327(f154(x89951),x89953)))+~P134(f327(f327(f329(f840(x89954,x89951)),f327(f327(f236(x89954,x89951),x89955),x89952)),f327(f154(f840(x89954,x89951)),f327(f327(f163(x89954,x89951),x89956),x89953)))) % 153.71/153.54 [8996]P134(f327(f327(f329(x89961),x89962),f327(f154(x89961),x89963)))+~P134(f327(f327(f329(f840(x89961,x89964)),f327(f327(f236(x89961,x89964),x89962),x89965)),f327(f154(f840(x89961,x89964)),f327(f327(f163(x89961,x89964),x89963),x89966)))) % 153.71/153.54 [9088]P134(f327(f327(f227(f841(x90881,a831)),f327(f272(x90882,x90881,x90883),x90884)),x90885))+~P134(f327(f327(f227(f841(f840(x90882,x90881),a831)),x90883),f327(f327(f243(x90882,x90881),x90886),f327(f18(f841(x90881,a831),x90882),x90885)))) % 153.71/153.54 [9264]P134(f327(f327(f329(f840(f835(x92641),f835(x92641))),f327(f327(f236(f835(x92641),f835(x92641)),f327(f327(f136(x92641),x92642),x92643)),f327(f327(f136(x92641),x92644),x92645))),f133(x92641,x92646)))+~P134(f327(f327(f329(f840(x92641,x92641)),f327(f327(f236(x92641,x92641),x92642),x92644)),x92646)) % 153.71/153.54 [9695]E(f327(f327(f236(x96951,x96952),f593(x96953,x96954,x96955,x96952,x96951,x96956)),f596(x96953,x96954,x96955,x96952,x96951,x96956)),x96956)+P134(f327(f327(f329(x96955),x96954),f327(f327(f246(x96951,x96952,f841(x96955,a831)),x96953),x96956))) % 153.71/153.54 [9700]E(f327(f327(f236(x97001,x97002),f594(x97003,x97004,x97002,x97001,x97005,x97006)),f595(x97003,x97004,x97002,x97001,x97005,x97006)),x97003)+~P134(f327(f327(f329(x97006),x97005),f327(f327(f246(x97001,x97002,f841(x97006,a831)),x97004),x97003))) % 153.71/153.54 [9858]P134(f327(f327(f329(x98581),x98582),f327(f327(x98583,f594(x98584,x98583,x98585,x98586,x98582,x98581)),f595(x98584,x98583,x98585,x98586,x98582,x98581))))+~P134(f327(f327(f329(x98581),x98582),f327(f327(f246(x98586,x98585,f841(x98581,a831)),x98583),x98584))) % 153.71/153.54 [9882]~P134(f327(f327(f329(x98821),x98822),f327(f327(x98825,f593(x98825,x98822,x98821,x98824,x98823,x98826)),f596(x98825,x98822,x98821,x98824,x98823,x98826))))+P134(f327(f327(f329(x98821),x98822),f327(f327(f246(x98823,x98824,f841(x98821,a831)),x98825),x98826))) % 153.71/153.54 [7786]P134(f327(f327(f329(x77861),x77864),x77866))+E(f168(x77861,x77862,f327(f327(f327(f76(x77861,f838(x77862)),x77863),x77864),x77865),x77866),f168(x77861,x77862,x77863,x77866)) % 153.71/153.54 [7861]P134(f327(f327(f329(x78611),x78614),x78616))+E(f327(f298(x78611,x78612,f327(f327(f327(f76(x78611,x78612),x78613),x78614),x78615)),x78616),f327(f298(x78611,x78612,x78613),x78616)) % 153.71/153.54 [7889]P134(f327(f327(f329(x78891),x78894),f327(f154(x78891),x78896)))+E(f327(f327(f138(x78891,x78892),f327(f327(f327(f76(x78891,x78892),x78893),x78894),x78895)),x78896),f327(f327(f138(x78891,x78892),x78893),x78896)) % 153.71/153.54 [8322]E(x83221,x83222)+E(f327(f327(f143(x83223,f327(f327(f143(x83223,x83224),x83221),x83225)),x83222),x83226),f327(f327(f143(x83223,f327(f327(f143(x83223,x83224),x83222),x83226)),x83221),x83225)) % 153.71/153.54 [8804]~P134(f327(f327(f329(x88043),x88046),x88045))+E(f327(f327(f297(x88041),x88042),f327(f298(x88043,x88041,x88044),f327(f327(f3(f841(x88043,a831)),x88045),f327(f327(f297(x88043),x88046),f176(f841(x88043,a831)))))),f327(f298(x88043,x88041,f327(f327(f327(f76(x88043,x88041),x88044),x88046),x88042)),x88045)) % 153.71/153.54 [8634]~E(x86343,x86346)+E(f327(f162(x86341,x86342,f327(f327(f136(f840(x86341,x86342)),f327(f327(f236(x86341,x86342),x86343),x86344)),x86345)),x86346),f327(f222(x86342),x86344)) % 153.71/153.54 [8675]E(x86751,x86752)+E(f327(f162(x86753,x86754,f327(f327(f136(f840(x86753,x86754)),f327(f327(f236(x86753,x86754),x86751),x86755)),x86756)),x86752),f327(f162(x86753,x86754,x86756),x86752)) % 153.71/153.54 [8875]~P134(f327(f327(x88754,x88755),x88756))+P134(f327(f327(f327(f327(f100(f841(x88751,f841(x88752,a831))),x88753),x88754),x88755),x88756)) % 153.71/153.54 [8877]~P134(f327(f327(x88773,x88775),x88776))+P134(f327(f327(f327(f327(f100(f841(x88771,f841(x88772,a831))),x88773),x88774),x88775),x88776)) % 153.71/153.54 [8893]P134(f327(f327(f329(x88931),x88936),f327(f154(x88931),x88934)))+E(f327(f166(x88931,x88932,x88933,f162(x88931,x88932,f327(f151(f840(x88931,x88932)),f327(f327(f163(x88931,x88932),x88934),x88935)))),x88936),f327(x88933,x88936)) % 153.71/153.54 [9041]~E(f327(f177(f835(x90411)),x90414),f327(f177(f835(x90412)),x90415))+E(f166(x90411,x90412,x90413,f162(x90411,x90412,f327(f151(f840(x90411,x90412)),f327(f327(f163(x90411,x90412),x90414),f327(f327(f122(x90412),x90415),x90416))))),f166(x90411,x90412,x90413,f162(x90411,x90412,f327(f151(f840(x90411,x90412)),f327(f327(f163(x90411,x90412),x90414),x90415))))) % 153.71/153.54 [9130]P134(f327(f327(x91301,x91302),x91303))+~P134(f327(f327(f327(f327(f101(f841(x91304,f841(x91305,a831))),x91306),x91301),x91302),x91303)) % 153.71/153.54 [9131]P134(f327(f327(x91311,x91312),x91313))+~P134(f327(f327(f327(f327(f101(f841(x91314,f841(x91315,a831))),x91311),x91316),x91312),x91313)) % 153.71/153.54 [9544]~P65(x95442)+E(f327(f327(f8(x95441,x95442),f327(f327(f9(x95441,f841(x95443,a831),x95442),f327(f327(f10(f841(x95443,x95442),f841(f841(x95443,a831),x95442),x95441),f8(x95443,x95442)),x95444)),x95445)),x95446),f327(f327(f8(f840(x95441,x95443),x95442),f327(f246(x95441,x95443,x95442),x95444)),f327(f327(f243(x95441,x95443),x95446),f327(f18(f841(x95443,a831),x95441),x95445)))) % 153.71/153.54 [9545]~P68(x95452)+E(f327(f327(f11(x95451,x95452),f327(f327(f9(x95451,f841(x95453,a831),x95452),f327(f327(f10(f841(x95453,x95452),f841(f841(x95453,a831),x95452),x95451),f11(x95453,x95452)),x95454)),x95455)),x95456),f327(f327(f11(f840(x95451,x95453),x95452),f327(f246(x95451,x95453,x95452),x95454)),f327(f327(f243(x95451,x95453),x95456),f327(f18(f841(x95453,a831),x95451),x95455)))) % 153.71/153.54 [9662]~P65(x96622)+E(f327(f327(f8(x96621,x96622),f327(f327(f9(x96621,f841(x96623,a831),x96622),f327(f327(f10(f841(x96623,x96622),f841(f841(x96623,a831),x96622),x96621),f8(x96623,x96622)),f327(f9(x96623,x96621,x96622),x96624))),x96625)),x96626),f327(f327(f8(x96623,x96622),f327(f327(f9(x96623,f841(x96621,a831),x96622),f327(f327(f10(f841(x96621,x96622),f841(f841(x96621,a831),x96622),x96623),f8(x96621,x96622)),x96624)),x96626)),x96625)) % 153.71/153.54 [9132]~E(f327(f177(f835(x91321)),x91324),f327(f177(f835(x91322)),x91326))+E(f166(x91321,x91322,x91323,f162(x91321,x91322,f327(f151(f840(x91321,x91322)),f327(f327(f163(x91321,x91322),f327(f327(f122(x91321),x91324),x91325)),x91326)))),f166(x91321,x91322,x91323,f162(x91321,x91322,f327(f151(f840(x91321,x91322)),f327(f327(f163(x91321,x91322),x91324),x91326))))) % 153.71/153.54 [9394]~P134(f327(f327(f329(x93941),x93945),x93944))+E(f327(f327(f327(f76(x93941,f838(x93942)),f168(x93941,x93942,x93943,f327(f327(f3(f841(x93941,a831)),x93944),f327(f327(f297(x93941),x93945),f176(f841(x93941,a831)))))),x93945),x93946),f168(x93941,x93942,f327(f327(f327(f76(x93941,f838(x93942)),x93943),x93945),x93946),x93944)) % 153.71/153.54 [9603]E(f166(x96031,x96032,x96033,f162(x96031,x96032,f327(f151(f840(x96031,x96032)),f327(f327(f163(x96031,x96032),f327(f327(f122(x96031),x96034),f327(f327(f136(x96031),x96035),f112(x96031)))),x96036)))),f327(f327(f327(f76(x96031,f838(x96032)),f166(x96031,x96032,x96033,f162(x96031,x96032,f327(f151(f840(x96031,x96032)),f327(f327(f163(x96031,x96032),x96034),x96036))))),x96035),f327(f222(x96032),f327(f327(f146(x96032),x96036),f327(f177(f835(x96031)),x96034)))))+~P134(f327(f327(f228(a834),f327(f177(f835(x96031)),x96034)),f327(f177(f835(x96032)),x96036))) % 153.71/153.54 [9954]~P134(f327(f327(f329(f840(x99541,x99542)),f327(f327(f236(x99541,x99542),x99545),x99546)),f327(f327(f100(f841(f840(x99541,x99542),a831)),x99543),x99544)))+P134(f327(f327(f327(f327(f100(f841(x99541,f841(x99542,a831))),f327(f327(f9(x99541,f841(f840(x99541,x99542),a831),f841(x99542,a831)),f327(f327(f10(f841(x99542,f841(f841(f840(x99541,x99542),a831),a831)),f841(f841(f840(x99541,x99542),a831),f841(x99542,a831)),x99541),f9(x99542,f841(f840(x99541,x99542),a831),a831)),f327(f327(f10(f841(x99542,f840(x99541,x99542)),f841(x99542,f841(f841(f840(x99541,x99542),a831),a831)),x99541),f327(f10(f840(x99541,x99542),f841(f841(f840(x99541,x99542),a831),a831),x99542),f329(f840(x99541,x99542)))),f236(x99541,x99542)))),x99543)),f327(f327(f9(x99541,f841(f840(x99541,x99542),a831),f841(x99542,a831)),f327(f327(f10(f841(x99542,f841(f841(f840(x99541,x99542),a831),a831)),f841(f841(f840(x99541,x99542),a831),f841(x99542,a831)),x99541),f9(x99542,f841(f840(x99541,x99542),a831),a831)),f327(f327(f10(f841(x99542,f840(x99541,x99542)),f841(x99542,f841(f841(f840(x99541,x99542),a831),a831)),x99541),f327(f10(f840(x99541,x99542),f841(f841(f840(x99541,x99542),a831),a831),x99542),f329(f840(x99541,x99542)))),f236(x99541,x99542)))),x99544)),x99545),x99546)) % 153.71/153.54 [9955]~P134(f327(f327(f329(f840(x99551,x99552)),f327(f327(f236(x99551,x99552),x99555),x99556)),f327(f327(f101(f841(f840(x99551,x99552),a831)),x99553),x99554)))+P134(f327(f327(f327(f327(f101(f841(x99551,f841(x99552,a831))),f327(f327(f9(x99551,f841(f840(x99551,x99552),a831),f841(x99552,a831)),f327(f327(f10(f841(x99552,f841(f841(f840(x99551,x99552),a831),a831)),f841(f841(f840(x99551,x99552),a831),f841(x99552,a831)),x99551),f9(x99552,f841(f840(x99551,x99552),a831),a831)),f327(f327(f10(f841(x99552,f840(x99551,x99552)),f841(x99552,f841(f841(f840(x99551,x99552),a831),a831)),x99551),f327(f10(f840(x99551,x99552),f841(f841(f840(x99551,x99552),a831),a831),x99552),f329(f840(x99551,x99552)))),f236(x99551,x99552)))),x99553)),f327(f327(f9(x99551,f841(f840(x99551,x99552),a831),f841(x99552,a831)),f327(f327(f10(f841(x99552,f841(f841(f840(x99551,x99552),a831),a831)),f841(f841(f840(x99551,x99552),a831),f841(x99552,a831)),x99551),f9(x99552,f841(f840(x99551,x99552),a831),a831)),f327(f327(f10(f841(x99552,f840(x99551,x99552)),f841(x99552,f841(f841(f840(x99551,x99552),a831),a831)),x99551),f327(f10(f840(x99551,x99552),f841(f841(f840(x99551,x99552),a831),a831),x99552),f329(f840(x99551,x99552)))),f236(x99551,x99552)))),x99554)),x99555),x99556)) % 153.71/153.54 [9959]P134(f327(f327(f329(f840(x99591,x99592)),f327(f327(f236(x99591,x99592),x99593),x99594)),f327(f327(f100(f841(f840(x99591,x99592),a831)),x99595),x99596)))+~P134(f327(f327(f327(f327(f100(f841(x99591,f841(x99592,a831))),f327(f327(f9(x99591,f841(f840(x99591,x99592),a831),f841(x99592,a831)),f327(f327(f10(f841(x99592,f841(f841(f840(x99591,x99592),a831),a831)),f841(f841(f840(x99591,x99592),a831),f841(x99592,a831)),x99591),f9(x99592,f841(f840(x99591,x99592),a831),a831)),f327(f327(f10(f841(x99592,f840(x99591,x99592)),f841(x99592,f841(f841(f840(x99591,x99592),a831),a831)),x99591),f327(f10(f840(x99591,x99592),f841(f841(f840(x99591,x99592),a831),a831),x99592),f329(f840(x99591,x99592)))),f236(x99591,x99592)))),x99595)),f327(f327(f9(x99591,f841(f840(x99591,x99592),a831),f841(x99592,a831)),f327(f327(f10(f841(x99592,f841(f841(f840(x99591,x99592),a831),a831)),f841(f841(f840(x99591,x99592),a831),f841(x99592,a831)),x99591),f9(x99592,f841(f840(x99591,x99592),a831),a831)),f327(f327(f10(f841(x99592,f840(x99591,x99592)),f841(x99592,f841(f841(f840(x99591,x99592),a831),a831)),x99591),f327(f10(f840(x99591,x99592),f841(f841(f840(x99591,x99592),a831),a831),x99592),f329(f840(x99591,x99592)))),f236(x99591,x99592)))),x99596)),x99593),x99594)) % 153.71/153.54 [9960]P134(f327(f327(f329(f840(x99601,x99602)),f327(f327(f236(x99601,x99602),x99603),x99604)),f327(f327(f101(f841(f840(x99601,x99602),a831)),x99605),x99606)))+~P134(f327(f327(f327(f327(f101(f841(x99601,f841(x99602,a831))),f327(f327(f9(x99601,f841(f840(x99601,x99602),a831),f841(x99602,a831)),f327(f327(f10(f841(x99602,f841(f841(f840(x99601,x99602),a831),a831)),f841(f841(f840(x99601,x99602),a831),f841(x99602,a831)),x99601),f9(x99602,f841(f840(x99601,x99602),a831),a831)),f327(f327(f10(f841(x99602,f840(x99601,x99602)),f841(x99602,f841(f841(f840(x99601,x99602),a831),a831)),x99601),f327(f10(f840(x99601,x99602),f841(f841(f840(x99601,x99602),a831),a831),x99602),f329(f840(x99601,x99602)))),f236(x99601,x99602)))),x99605)),f327(f327(f9(x99601,f841(f840(x99601,x99602),a831),f841(x99602,a831)),f327(f327(f10(f841(x99602,f841(f841(f840(x99601,x99602),a831),a831)),f841(f841(f840(x99601,x99602),a831),f841(x99602,a831)),x99601),f9(x99602,f841(f840(x99601,x99602),a831),a831)),f327(f327(f10(f841(x99602,f840(x99601,x99602)),f841(x99602,f841(f841(f840(x99601,x99602),a831),a831)),x99601),f327(f10(f840(x99601,x99602),f841(f841(f840(x99601,x99602),a831),a831),x99602),f329(f840(x99601,x99602)))),f236(x99601,x99602)))),x99606)),x99603),x99604)) % 153.71/153.54 [9950]~P134(f327(f327(f329(f840(x99502,x99503)),f327(f327(f236(x99502,x99503),x99505),x99506)),f327(f327(f47(x99501,f841(f840(x99502,x99503),a831)),f234(f841(x99501,a831))),x99504)))+P134(f327(f327(f327(f327(f47(x99501,f841(x99502,f841(x99503,a831))),f234(f841(x99501,a831))),f327(f327(f10(f841(f840(x99502,x99503),a831),f841(x99502,f841(x99503,a831)),x99501),f327(f9(x99502,f841(f840(x99502,x99503),a831),f841(x99503,a831)),f327(f327(f10(f841(x99503,f841(f841(f840(x99502,x99503),a831),a831)),f841(f841(f840(x99502,x99503),a831),f841(x99503,a831)),x99502),f9(x99503,f841(f840(x99502,x99503),a831),a831)),f327(f327(f10(f841(x99503,f840(x99502,x99503)),f841(x99503,f841(f841(f840(x99502,x99503),a831),a831)),x99502),f327(f10(f840(x99502,x99503),f841(f841(f840(x99502,x99503),a831),a831),x99503),f329(f840(x99502,x99503)))),f236(x99502,x99503))))),x99504)),x99505),x99506)) % 153.71/153.54 [9951]~P134(f327(f327(f329(f840(x99512,x99513)),f327(f327(f236(x99512,x99513),x99515),x99516)),f327(f327(f48(x99511,f841(f840(x99512,x99513),a831)),f234(f841(x99511,a831))),x99514)))+P134(f327(f327(f327(f327(f48(x99511,f841(x99512,f841(x99513,a831))),f234(f841(x99511,a831))),f327(f327(f10(f841(f840(x99512,x99513),a831),f841(x99512,f841(x99513,a831)),x99511),f327(f9(x99512,f841(f840(x99512,x99513),a831),f841(x99513,a831)),f327(f327(f10(f841(x99513,f841(f841(f840(x99512,x99513),a831),a831)),f841(f841(f840(x99512,x99513),a831),f841(x99513,a831)),x99512),f9(x99513,f841(f840(x99512,x99513),a831),a831)),f327(f327(f10(f841(x99513,f840(x99512,x99513)),f841(x99513,f841(f841(f840(x99512,x99513),a831),a831)),x99512),f327(f10(f840(x99512,x99513),f841(f841(f840(x99512,x99513),a831),a831),x99513),f329(f840(x99512,x99513)))),f236(x99512,x99513))))),x99514)),x99515),x99516)) % 153.71/153.54 [9957]P134(f327(f327(f329(f840(x99571,x99572)),f327(f327(f236(x99571,x99572),x99573),x99574)),f327(f327(f47(x99575,f841(f840(x99571,x99572),a831)),f234(f841(x99575,a831))),x99576)))+~P134(f327(f327(f327(f327(f47(x99575,f841(x99571,f841(x99572,a831))),f234(f841(x99575,a831))),f327(f327(f10(f841(f840(x99571,x99572),a831),f841(x99571,f841(x99572,a831)),x99575),f327(f9(x99571,f841(f840(x99571,x99572),a831),f841(x99572,a831)),f327(f327(f10(f841(x99572,f841(f841(f840(x99571,x99572),a831),a831)),f841(f841(f840(x99571,x99572),a831),f841(x99572,a831)),x99571),f9(x99572,f841(f840(x99571,x99572),a831),a831)),f327(f327(f10(f841(x99572,f840(x99571,x99572)),f841(x99572,f841(f841(f840(x99571,x99572),a831),a831)),x99571),f327(f10(f840(x99571,x99572),f841(f841(f840(x99571,x99572),a831),a831),x99572),f329(f840(x99571,x99572)))),f236(x99571,x99572))))),x99576)),x99573),x99574)) % 153.71/153.54 [9958]P134(f327(f327(f329(f840(x99581,x99582)),f327(f327(f236(x99581,x99582),x99583),x99584)),f327(f327(f48(x99585,f841(f840(x99581,x99582),a831)),f234(f841(x99585,a831))),x99586)))+~P134(f327(f327(f327(f327(f48(x99585,f841(x99581,f841(x99582,a831))),f234(f841(x99585,a831))),f327(f327(f10(f841(f840(x99581,x99582),a831),f841(x99581,f841(x99582,a831)),x99585),f327(f9(x99581,f841(f840(x99581,x99582),a831),f841(x99582,a831)),f327(f327(f10(f841(x99582,f841(f841(f840(x99581,x99582),a831),a831)),f841(f841(f840(x99581,x99582),a831),f841(x99582,a831)),x99581),f9(x99582,f841(f840(x99581,x99582),a831),a831)),f327(f327(f10(f841(x99582,f840(x99581,x99582)),f841(x99582,f841(f841(f840(x99581,x99582),a831),a831)),x99581),f327(f10(f840(x99581,x99582),f841(f841(f840(x99581,x99582),a831),a831),x99582),f329(f840(x99581,x99582)))),f236(x99581,x99582))))),x99586)),x99583),x99584)) % 153.71/153.54 [9063]E(x90631,x90632)+~E(f314(x90633,x90634,x90635,x90636,x90631),f314(x90633,x90634,x90635,x90637,x90632)) % 153.71/153.54 [9064]E(x90641,x90642)+~E(f314(x90643,x90644,x90645,x90641,x90646),f314(x90643,x90644,x90645,x90642,x90647)) % 153.71/153.54 [7338]E(f327(x73381,f327(x73382,x73383)),f327(x73384,x73383))+~E(f327(f77(x73385,x73386,x73387,x73381),x73382),x73384) % 153.71/153.54 [9428]~P26(x94283,x94284,x94281,x94285,x94286,x94287)+E(f327(f327(x94281,x94282),x94282),x94282) % 153.71/153.54 [9755]~P49(x97555,x97556,x97557,x97551,x97554,x97552,x97553)+P134(f327(f327(x97551,x97552),f570(x97553,x97552,x97554,x97551))) % 153.71/153.54 [9781]~E(f327(f224(f838(x97817),x97811,f179(x97817),x97815),f327(x97814,x97813)),f327(f222(x97817),x97812))+E(f327(f222(x97811),f695(x97812,x97813,x97814,x97815,x97816,x97817,x97811)),f327(x97814,x97813)) % 153.71/153.54 [9782]~E(f327(f224(f838(x97826),x97827,f179(x97826),x97821),f327(x97824,x97823)),f327(f222(x97826),x97822))+E(f327(x97821,f695(x97822,x97823,x97824,x97821,x97825,x97826,x97827)),f327(f222(x97826),x97822)) % 153.71/153.54 [5845]~E(f327(f327(f138(x58451,x58455),x58456),x58452),f327(f327(f138(x58453,x58455),x58457),x58454))+E(f327(f177(f835(x58451)),x58452),f327(f177(f835(x58453)),x58454)) % 153.71/153.54 [7411]E(x74111,x74112)+~E(f327(f327(f327(f76(x74113,f838(x74114)),x74115),x74116),f327(f222(x74114),x74111)),f327(f327(f327(f76(x74113,f838(x74114)),x74117),x74116),f327(f222(x74114),x74112))) % 153.71/153.54 [8352]E(f327(x83521,f327(x83522,x83523)),f327(x83524,x83523))+~E(f327(f77(x83525,x83526,x83527,x83521),x83522),f327(f77(x83526,x83526,x83527,f39(x83526)),x83524)) % 153.71/153.54 [9760]~P49(x97605,x97606,x97607,x97604,x97601,x97603,x97602)+P134(f327(f327(x97601,f570(x97602,x97603,x97601,x97604)),x97602)) % 153.71/153.54 [8761]~P24(x87616,x87611,x87613,x87617)+E(f327(f77(x87611,x87611,x87612,f327(x87613,x87614)),f327(f77(x87611,x87611,x87612,f327(x87613,x87614)),x87615)),f327(f77(x87611,x87611,x87612,f327(x87613,x87614)),x87615)) % 153.71/153.54 [8760]~P134(f327(f327(f329(x87601),x87602),f327(f327(x87605,x87606),x87607)))+P134(f327(f327(f329(x87601),x87602),f327(f327(f246(x87603,x87604,f841(x87601,a831)),x87605),f327(f327(f236(x87603,x87604),x87606),x87607)))) % 153.71/153.54 [9022]P134(f327(f327(f327(x90221,x90222),x90223),x90224))+~P134(f327(f327(f327(f246(x90225,x90226,f841(x90227,a831)),x90221),f327(f327(f236(x90225,x90226),x90222),x90223)),x90224)) % 153.71/153.54 [9144]P134(f327(f327(f329(x91441),f327(f327(x91442,x91443),x91444)),f327(f298(f840(x91445,x91446),x91441,f327(f246(x91445,x91446,x91441),x91442)),x91447)))+~P134(f327(f327(f329(f840(x91445,x91446)),f327(f327(f236(x91445,x91446),x91443),x91444)),x91447)) % 153.71/153.54 [9468]P134(f327(f327(f329(f840(f835(x94681),f835(x94681))),f327(f327(f236(f835(x94681),f835(x94681)),f327(f327(f122(x94681),x94682),f327(f327(f136(x94681),x94683),x94684))),f327(f327(f122(x94681),x94682),f327(f327(f136(x94681),x94685),x94686)))),f133(x94681,x94687)))+~P134(f327(f327(f329(f840(x94681,x94681)),f327(f327(f236(x94681,x94681),x94683),x94685)),x94687)) % 153.71/153.54 [9881]P49(x98811,x98812,x98813,f327(f327(f9(x98811,f841(f840(x98811,x98812),a831),f841(x98812,a831)),f327(f327(f10(f841(x98812,f841(f841(f840(x98811,x98812),a831),a831)),f841(f841(f840(x98811,x98812),a831),f841(x98812,a831)),x98811),f9(x98812,f841(f840(x98811,x98812),a831),a831)),f327(f327(f10(f841(x98812,f840(x98811,x98812)),f841(x98812,f841(f841(f840(x98811,x98812),a831),a831)),x98811),f327(f10(f840(x98811,x98812),f841(f841(f840(x98811,x98812),a831),a831),x98812),f329(f840(x98811,x98812)))),f236(x98811,x98812)))),x98814),f327(f327(f9(x98812,f841(f840(x98812,x98813),a831),f841(x98813,a831)),f327(f327(f10(f841(x98813,f841(f841(f840(x98812,x98813),a831),a831)),f841(f841(f840(x98812,x98813),a831),f841(x98813,a831)),x98812),f9(x98813,f841(f840(x98812,x98813),a831),a831)),f327(f327(f10(f841(x98813,f840(x98812,x98813)),f841(x98813,f841(f841(f840(x98812,x98813),a831),a831)),x98812),f327(f10(f840(x98812,x98813),f841(f841(f840(x98812,x98813),a831),a831),x98813),f329(f840(x98812,x98813)))),f236(x98812,x98813)))),x98815),x98816,x98817)+~P134(f327(f327(f329(f840(x98811,x98813)),f327(f327(f236(x98811,x98813),x98816),x98817)),f327(f327(f276(x98811,x98812,x98813),x98814),x98815))) % 153.71/153.54 [9910]~P49(x99101,x99105,x99102,f327(f327(f9(x99101,f841(f840(x99101,x99105),a831),f841(x99105,a831)),f327(f327(f10(f841(x99105,f841(f841(f840(x99101,x99105),a831),a831)),f841(f841(f840(x99101,x99105),a831),f841(x99105,a831)),x99101),f9(x99105,f841(f840(x99101,x99105),a831),a831)),f327(f327(f10(f841(x99105,f840(x99101,x99105)),f841(x99105,f841(f841(f840(x99101,x99105),a831),a831)),x99101),f327(f10(f840(x99101,x99105),f841(f841(f840(x99101,x99105),a831),a831),x99105),f329(f840(x99101,x99105)))),f236(x99101,x99105)))),x99106),f327(f327(f9(x99105,f841(f840(x99105,x99102),a831),f841(x99102,a831)),f327(f327(f10(f841(x99102,f841(f841(f840(x99105,x99102),a831),a831)),f841(f841(f840(x99105,x99102),a831),f841(x99102,a831)),x99105),f9(x99102,f841(f840(x99105,x99102),a831),a831)),f327(f327(f10(f841(x99102,f840(x99105,x99102)),f841(x99102,f841(f841(f840(x99105,x99102),a831),a831)),x99105),f327(f10(f840(x99105,x99102),f841(f841(f840(x99105,x99102),a831),a831),x99102),f329(f840(x99105,x99102)))),f236(x99105,x99102)))),x99107),x99103,x99104)+P134(f327(f327(f329(f840(x99101,x99102)),f327(f327(f236(x99101,x99102),x99103),x99104)),f327(f327(f276(x99101,x99105,x99102),x99106),x99107))) % 153.71/153.54 [9533]P134(f327(f327(f329(x95331),x95334),f327(f154(x95331),x95336)))+E(f166(x95331,x95332,f327(f327(f327(f76(x95331,f838(x95332)),x95333),x95334),f327(f222(x95332),x95335)),f162(x95331,x95332,f327(f151(f840(x95331,x95332)),f327(f327(f163(x95331,x95332),x95336),x95337)))),f327(f327(f327(f76(x95331,f838(x95332)),f166(x95331,x95332,x95333,f162(x95331,x95332,f327(f151(f840(x95331,x95332)),f327(f327(f163(x95331,x95332),x95336),x95337))))),x95334),f327(f222(x95332),x95335))) % 153.71/153.54 [9017]E(x90171,x90172)+E(f327(f327(f327(f76(x90173,x90174),f327(f327(f327(f76(x90173,x90174),x90175),x90171),x90176)),x90172),x90177),f327(f327(f327(f76(x90173,x90174),f327(f327(f327(f76(x90173,x90174),x90175),x90172),x90177)),x90171),x90176)) % 153.71/153.54 [9268]E(f166(x92681,x92682,f327(f327(f327(f76(x92681,f838(x92682)),x92683),x92684),f327(f222(x92682),x92685)),f162(x92681,x92682,f327(f151(f840(x92681,x92682)),f327(f327(f163(x92681,x92682),x92686),x92687)))),f166(x92681,x92682,x92683,f162(x92681,x92682,f327(f151(f840(x92681,x92682)),f327(f327(f163(x92681,x92682),x92686),x92687)))))+~P134(f327(f327(f329(x92681),x92684),f327(f154(x92681),f327(f327(f155(x92681),f327(f177(f835(x92682)),x92687)),x92686)))) % 153.71/153.54 [9551]E(f166(x95511,x95512,f327(f327(f327(f76(x95511,f838(x95512)),x95513),x95514),f327(f222(x95512),x95515)),f162(x95511,x95512,f327(f151(f840(x95511,x95512)),f327(f327(f163(x95511,x95512),x95516),x95517)))),f327(f327(f327(f76(x95511,f838(x95512)),f166(x95511,x95512,x95513,f162(x95511,x95512,f327(f151(f840(x95511,x95512)),f327(f327(f163(x95511,x95512),x95516),x95517))))),x95514),f327(f222(x95512),x95515)))+P134(f327(f327(f329(x95511),x95514),f327(f154(x95511),f327(f327(f155(x95511),f327(f177(f835(x95512)),x95517)),x95516)))) % 153.71/153.54 [9892]P134(f327(f327(f329(x98921),f629(x98922,x98923,x98924,x98925,x98926,x98927,x98921)),x98925))+P134(f327(f327(f327(f327(f48(x98921,f841(x98927,f841(x98926,a831))),x98925),x98924),x98923),x98922)) % 153.71/153.54 [9893]P134(f327(f327(f329(x98931),f413(x98932,x98933,x98934,x98935,x98936,x98937,x98931)),x98935))+~P134(f327(f327(f327(f327(f47(x98931,f841(x98937,f841(x98936,a831))),x98935),x98934),x98933),x98932)) % 153.71/153.54 [9920]P134(f327(f327(f327(x99201,f413(x99202,x99203,x99201,x99204,x99205,x99206,x99207)),x99203),x99202))+~P134(f327(f327(f327(f327(f47(x99207,f841(x99206,f841(x99205,a831))),x99204),x99201),x99203),x99202)) % 153.71/153.54 [9936]~P134(f327(f327(f327(x99365,f629(x99367,x99366,x99365,x99364,x99363,x99362,x99361)),x99366),x99367))+P134(f327(f327(f327(f327(f48(x99361,f841(x99362,f841(x99363,a831))),x99364),x99365),x99366),x99367)) % 153.71/153.54 [9902]~P133(x99022)+E(f327(f327(f8(x99021,x99022),f327(f327(f9(x99021,f841(x99023,a831),x99022),f327(f327(f10(f841(x99023,x99022),f841(f841(x99023,a831),x99022),x99021),f8(x99023,x99022)),f327(f327(f9(x99021,f841(x99023,x99022),f841(x99023,x99022)),f327(f327(f10(f841(x99022,x99022),f841(f841(x99023,x99022),f841(x99023,x99022)),x99021),f10(x99022,x99022,x99023)),f327(f327(f10(x99022,f841(x99022,x99022),x99021),f85(x99022)),x99024))),x99025))),x99026)),x99027),f327(f327(f85(x99022),f327(f327(f8(x99021,x99022),x99024),x99027)),f327(f327(f8(x99023,x99022),x99025),x99026))) % 153.71/153.54 [9054]~P23(x90547,x90541,x90543,x90548)+E(f327(f77(x90541,x90541,x90542,f327(x90543,x90544)),f327(f77(x90541,x90541,x90542,f327(x90543,x90545)),x90546)),f327(f77(x90541,x90541,x90542,f327(x90543,x90545)),f327(f77(x90541,x90541,x90542,f327(x90543,x90544)),x90546))) % 153.71/153.54 [9952]E(f327(f327(f236(x99521,x99522),f327(x99523,f539(x99524,x99525,x99523,x99526,x99527,x99528,x99522,x99521))),f327(x99525,f540(x99524,x99525,x99523,x99526,x99527,x99528,x99522,x99521))),x99528)+~P134(f327(f327(f329(f840(x99521,x99522)),x99528),f327(f298(f840(x99527,x99526),f840(x99521,x99522),f247(x99527,x99521,x99526,x99522,x99523,x99525)),x99524))) % 153.71/153.54 [9964]~P134(f327(f327(f329(f840(x99648,x99647)),x99646),f327(f298(f840(x99641,x99642),f840(x99648,x99647),f247(x99641,x99648,x99642,x99647,x99645,x99644)),x99643)))+P134(f327(f327(f329(f840(x99641,x99642)),f327(f327(f236(x99641,x99642),f539(x99643,x99644,x99645,x99642,x99641,x99646,x99647,x99648)),f540(x99643,x99644,x99645,x99642,x99641,x99646,x99647,x99648))),x99643)) % 153.71/153.54 [9458]P134(f327(f327(f329(f840(f840(x94581,x94582),f840(x94581,x94582))),f327(f327(f236(f840(x94581,x94582),f840(x94581,x94582)),f327(f327(f236(x94581,x94582),x94583),x94584)),f327(f327(f236(x94581,x94582),x94585),x94586))),f321(x94581,x94582,x94587,x94588)))+~P134(f327(f327(f329(f840(x94581,x94581)),f327(f327(f236(x94581,x94581),x94583),x94585)),x94587)) % 153.71/153.54 [8358]E(f327(x83581,f327(x83582,x83583)),f327(x83584,f327(x83585,x83583)))+~E(f327(f77(x83586,x83587,x83588,x83581),x83582),f327(f77(x83589,x83587,x83588,x83584),x83585)) % 153.71/153.54 [9830]P134(f327(f327(f329(f840(x98301,x98302)),f327(f327(f236(x98301,x98302),f327(x98303,x98304)),f327(x98305,x98306))),f327(f298(f840(x98307,x98308),f840(x98301,x98302),f247(x98307,x98301,x98308,x98302,x98303,x98305)),x98309)))+~P134(f327(f327(f329(f840(x98307,x98308)),f327(f327(f236(x98307,x98308),x98304),x98306)),x98309)) % 153.71/153.54 [8615]~E(f327(x86154,f327(x86155,x86156)),f327(x86159,f327(x861510,x861511)))+E(f327(f327(f77(x86151,x86152,x86153,x86154),x86155),x86156),f327(f327(f77(x86157,x86152,x86158,x86159),x861510),x861511)) % 153.71/153.54 [4429]~P97(x44291)+~P94(x44291)+E(f175(x44291),f100(x44291)) % 153.71/153.54 [4430]~P97(x44301)+~P95(x44301)+E(f231(x44301),f101(x44301)) % 153.71/153.54 [4672]~P107(x46721)+~P85(x46721)+E(f327(f79(x46721),f327(f103(x46721),a96)),f82(x46721)) % 153.71/153.54 [4954]E(x49541,f2(a1))+E(f86(a1,x49541),f327(f83(a1),f82(a1)))+P134(f327(f327(f228(a1),f2(a1)),x49541)) % 153.71/153.54 [5155]E(x51551,f2(a1))+E(f86(a1,x51551),f82(a1))+~P134(f327(f327(f228(a1),f2(a1)),x51551)) % 153.71/153.54 [7228]~P35(x72281)+P134(f327(f66(a1),x72281))+~P134(f327(f66(a834),f327(f298(a1,a834,a104),x72281))) % 153.71/153.54 [8461]~P13(a5000)+~P134(f327(f327(f329(f840(a833,a832)),x84611),f327(f154(f840(a833,a832)),a29)))+P134(f327(f327(f246(a833,a832,a831),f327(f18(f841(a832,a831),a833),a27)),x84611)) % 153.71/153.54 [9427]E(x94271,f176(f841(f840(a834,a834),a831)))+~P134(f327(f66(f840(a834,a834)),x94271))+P134(f327(f327(f329(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f236(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),f176(f841(f840(a834,a834),a831))),x94271)),a42)) % 153.71/153.54 [9575]E(x95751,f2(a834))+E(x95751,f327(a111,f2(a834)))+~P134(f327(f327(f228(a834),x95751),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))) % 153.71/153.54 [9853]E(x98531,f2(a98))+E(f327(f327(f84(a1),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(a23,f327(f327(f44(a98),x98531),f327(f103(a98),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))))),f82(a1)),f327(a23,x98531))+E(f53(a98,x98531,f327(f103(a98),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f2(a98)) % 153.71/153.54 [9704]E(x97041,f2(a98))+~E(f53(a98,x97041,f327(f103(a98),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f2(a98))+E(f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(a23,f327(f327(f44(a98),x97041),f327(f103(a98),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))),f327(a23,x97041)) % 153.71/153.54 [4506]~P54(x45061,x45062)+P40(x45061,x45062)+~P41(a831) % 153.71/153.54 [4444]~P1(x44441)+P30(x44441,x44442)+~E(x44442,f2(x44441)) % 153.71/153.54 [4453]~P107(x44531)+~E(x44532,f2(x44531))+E(f86(x44531,x44532),f2(x44531)) % 153.71/153.54 [4454]~P79(x44541)+~E(x44542,f2(x44541))+E(f86(x44541,x44542),f2(x44541)) % 153.71/153.54 [4462]~P1(x44622)+~P30(x44622,x44621)+E(x44621,f2(x44622)) % 153.71/153.54 [4497]~P107(x44972)+~E(f86(x44972,x44971),f2(x44972))+E(x44971,f2(x44972)) % 153.71/153.54 [4513]~P10(x45132)+~P10(x45131)+P10(f183(x45131,x45132)) % 153.71/153.54 [4514]~P57(x45142)+~P57(x45141)+P57(f842(x45141,x45142)) % 153.71/153.54 [4515]~P57(x45152)+~P57(x45151)+P57(f841(x45151,x45152)) % 153.71/153.54 [4516]~P57(x45162)+~P57(x45161)+P57(f840(x45161,x45162)) % 153.71/153.54 [4517]~P137(x45172)+~P137(x45171)+P137(f840(x45171,x45172)) % 153.71/153.54 [4644]~P97(x46441)+~P18(x46441,x46442)+P18(x46441,f137(x46441,x46442)) % 153.71/153.54 [4882]~P10(x48822)+~P10(x48821)+P10(f53(a1,x48821,x48822)) % 153.71/153.54 [4465]~P66(x44651)+~E(x44652,f2(x44651))+E(f327(f83(x44651),x44652),x44652) % 153.71/153.54 [4469]~P130(x44691)+~E(x44692,f2(a1))+E(f327(f102(x44691),x44692),f2(x44691)) % 153.71/153.54 [4470]~P84(x44701)+~E(x44702,f2(a1))+E(f327(f102(x44701),x44702),f2(x44701)) % 153.71/153.54 [4494]~P67(x44941)+~E(f2(x44941),x44942)+E(f327(f83(x44941),x44942),f2(x44941)) % 153.71/153.54 [4495]~P67(x44951)+~E(x44952,f2(x44951))+E(f327(f83(x44951),x44952),f2(x44951)) % 153.71/153.54 [4496]~P76(x44961)+~E(x44962,f2(x44961))+E(f327(f79(x44961),x44962),f2(x44961)) % 153.71/153.54 [4519]~P66(x45192)+E(x45191,f2(x45192))+~E(f327(f83(x45192),x45191),x45191) % 153.71/153.54 [4527]E(x45271,f327(a104,x45272))+~E(x45271,f2(a834))+~E(x45272,f327(f99(a1),x45271)) % 153.71/153.54 [4528]E(f327(a104,x45281),x45282)+~E(x45282,f2(a834))+~E(x45281,f327(f99(a1),x45282)) % 153.71/153.54 [4532]~P84(x45322)+E(x45321,f2(a1))+~E(f327(f102(x45322),x45321),f2(x45322)) % 153.71/153.54 [4537]~P67(x45372)+E(x45371,f2(x45372))+~E(f327(f83(x45372),x45371),f2(x45372)) % 153.71/153.54 [4538]~P76(x45382)+E(x45381,f2(x45382))+~E(f327(f79(x45382),x45381),f2(x45382)) % 153.71/153.54 [4539]~P67(x45391)+E(f2(x45391),x45392)+~E(f327(f83(x45391),x45392),f2(x45391)) % 153.71/153.54 [4676]~P13(a5000)+~E(f327(a30,x46762),f327(f222(a832),x46761))+P134(f327(a27,x46761)) % 153.71/153.54 [4717]~P97(x47171)+~P18(x47171,x47172)+P18(x47171,f327(f153(x47171),x47172)) % 153.71/153.54 [4744]~P134(x47442)+~P134(x47441)+P134(f327(f327(a325,x47441),x47442)) % 153.71/153.54 [4780]~E(f82(a834),f2(a834))+E(f327(f43(x47801),x47802),f2(a834))+~P134(f327(f66(x47801),x47802)) % 153.71/153.54 [4811]~P102(x48111)+~P133(x48111)+E(f327(f327(f237(x48111),f2(x48111)),f327(a111,x48112)),f2(x48111)) % 153.71/153.54 [4853]~P97(x48531)+P18(x48531,f126(x48531,x48532))+~P134(f327(f66(x48531),x48532)) % 153.71/153.54 [4873]~P97(x48731)+E(f327(f154(x48731),f126(x48731,x48732)),x48732)+~P134(f327(f66(x48731),x48732)) % 153.71/153.54 [4907]P134(x49071)+P134(x49072)+~P134(f327(f327(a326,x49072),x49071)) % 153.71/153.54 [4919]E(x49191,f176(f841(x49192,a831)))+~E(f327(f43(x49192),x49191),f2(a834))+~P134(f327(f66(x49192),x49191)) % 153.71/153.54 [4924]P134(x49241)+~P134(x49242)+~P134(f327(f327(a330,x49242),x49241)) % 153.71/153.54 [4972]~P63(x49721)+E(f327(f79(x49721),x49722),x49722)+P134(f327(f327(f228(x49721),x49722),f2(x49721))) % 153.71/153.54 [5068]~P134(f327(a27,x50682))+~P134(f327(a27,x50681))+P134(f327(a27,f36(x50681,x50682))) % 153.71/153.54 [5075]E(x50751,f112(x50752))+P134(f327(f124(x50752),f113(x50752,x50751)))+~P134(f327(f124(x50752),x50751)) % 153.71/153.54 [5080]~P97(x50801)+~P134(f327(f66(x50801),x50802))+P134(f327(f124(x50801),f126(x50801,x50802))) % 153.71/153.54 [5086]~P130(x50861)+E(f327(f99(x50861),f327(a104,x50862)),f327(f102(x50861),x50862))+P134(f327(f327(f228(a1),x50862),f2(a1))) % 153.71/153.54 [5112]P11(x51122,x51121)+E(f327(x51121,f477(x51121)),f327(x51121,f499(x51121)))+P134(f327(f327(x51121,f477(x51121)),f499(x51121))) % 153.71/153.54 [5125]E(f327(f99(a1),f585(x51251,x51252)),x51251)+P134(f327(x51252,f327(a104,x51251)))+~P134(f327(x51252,f2(a834))) % 153.71/153.54 [5165]~P107(x51651)+~E(f86(x51651,x51652),f327(f83(x51651),f82(x51651)))+P134(f327(f327(f228(x51651),x51652),f2(x51651))) % 153.71/153.54 [5239]~E(x52392,f2(a1))+E(f205(x52391,x52392),f327(f327(f236(a1,a1),f2(a1)),f82(a1)))+P134(f327(f327(f228(a1),x52392),f2(a1))) % 153.71/153.54 [5240]~E(x52401,f2(a1))+E(f205(x52401,x52402),f327(f327(f236(a1,a1),f2(a1)),f82(a1)))+P134(f327(f327(f228(a1),x52402),f2(a1))) % 153.71/153.54 [5291]E(f327(f99(a1),f585(x52911,x52912)),x52911)+P134(f327(x52912,f327(a104,x52911)))+P134(f327(f327(f228(a1),x52911),f2(a1))) % 153.71/153.54 [5358]~P107(x53581)+E(f86(x53581,x53582),f327(f83(x53581),f82(x53581)))+~P134(f327(f327(f228(x53581),x53582),f2(x53581))) % 153.71/153.54 [5359]~P76(x53591)+E(f327(f79(x53591),x53592),f327(f83(x53591),x53592))+~P134(f327(f327(f228(x53591),x53592),f2(x53591))) % 153.71/153.54 [5360]~P76(x53601)+E(f327(f79(x53601),x53602),f327(f83(x53601),x53602))+~P134(f327(f327(f227(x53601),x53602),f2(x53601))) % 153.71/153.54 [5361]~P63(x53611)+E(f327(f79(x53611),x53612),f327(f83(x53611),x53612))+~P134(f327(f327(f228(x53611),x53612),f2(x53611))) % 153.71/153.54 [5455]~P134(f327(x54551,f585(x54552,x54551)))+P134(f327(x54551,f327(a104,x54552)))+~P134(f327(x54551,f2(a834))) % 153.71/153.54 [5462]E(x54621,f2(a834))+E(f327(a111,f476(x54622,x54621)),x54621)+~P134(f327(f327(f228(a834),x54621),f327(a111,x54622))) % 153.71/153.54 [5465]P11(x54651,x54652)+~E(f327(x54652,f477(x54652)),f327(x54652,f499(x54652)))+~P134(f327(f327(x54652,f477(x54652)),f499(x54652))) % 153.71/153.54 [5487]~P97(x54871)+P18(x54871,x54872)+P134(f327(f327(f227(a834),f742(x54872,x54871)),f743(x54872,x54871))) % 153.71/153.54 [5488]~P97(x54881)+P18(x54881,x54882)+P134(f327(f327(f227(a834),f748(x54882,x54881)),f758(x54882,x54881))) % 153.71/153.54 [5579]~P76(x55791)+~E(x55792,f2(x55791))+P134(f327(f327(f227(x55791),f327(f79(x55791),x55792)),f2(x55791))) % 153.71/153.54 [5674]~P134(f327(x56741,f585(x56742,x56741)))+P134(f327(x56741,f327(a104,x56742)))+P134(f327(f327(f228(a1),x56742),f2(a1))) % 153.71/153.54 [5700]~P134(f327(x57001,f327(a104,x57002)))+P134(f327(x57001,f2(a834)))+~P134(f327(f327(f228(a1),x57002),f2(a1))) % 153.71/153.54 [6051]~P107(x60511)+~P134(f327(f327(f228(x60511),x60512),f2(x60511)))+P134(f327(f327(f228(x60511),f86(x60511,x60512)),f2(x60511))) % 153.71/153.54 [6171]~P107(x61711)+P134(f327(f327(f228(x61711),f327(f102(x61711),x61712)),f2(x61711)))+~P134(f327(f327(f228(a1),x61712),f2(a1))) % 153.71/153.54 [6172]~P107(x61721)+P134(f327(f327(f227(x61721),f327(f102(x61721),x61722)),f2(x61721)))+~P134(f327(f327(f227(a1),x61722),f2(a1))) % 153.71/153.54 [6177]~P76(x61772)+E(x61771,f2(x61772))+~P134(f327(f327(f227(x61772),f327(f79(x61772),x61771)),f2(x61772))) % 153.71/153.54 [6263]~P130(x62631)+~P134(f327(f327(f329(x62631),x62632),f109(x62631)))+P134(f327(f327(f329(x62631),f327(f83(x62631),x62632)),f109(x62631))) % 153.71/153.54 [6295]~P107(x62951)+~P134(f327(f327(f228(x62951),f86(x62951,x62952)),f2(x62951)))+P134(f327(f327(f228(x62951),x62952),f2(x62951))) % 153.71/153.54 [6373]~P96(x63731)+P48(a834,x63731,f274(a834),x63732)+P134(f327(f327(f274(a834),f799(x63732,x63731)),f821(x63732,x63731))) % 153.71/153.54 [6469]~P107(x64692)+~P134(f327(f327(f228(x64692),f327(f102(x64692),x64691)),f2(x64692)))+P134(f327(f327(f228(a1),x64691),f2(a1))) % 153.71/153.54 [6470]~P107(x64702)+~P134(f327(f327(f227(x64702),f327(f102(x64702),x64701)),f2(x64702)))+P134(f327(f327(f227(a1),x64701),f2(a1))) % 153.71/153.54 [6993]~P66(x69931)+~P134(f327(f327(f228(x69931),x69932),f2(x69931)))+P134(f327(f327(f228(x69931),f327(f327(f84(x69931),x69932),x69932)),f2(x69931))) % 153.71/153.54 [6994]~P107(x69941)+~P134(f327(f327(f228(x69941),x69942),f2(x69941)))+P134(f327(f327(f228(x69941),f327(f327(f84(x69941),x69942),x69942)),f2(x69941))) % 153.71/153.54 [6995]~P66(x69951)+~P134(f327(f327(f227(x69951),x69952),f2(x69951)))+P134(f327(f327(f227(x69951),f327(f327(f84(x69951),x69952),x69952)),f2(x69951))) % 153.71/153.54 [7589]~P66(x75891)+~P134(f327(f327(f228(x75891),f327(f327(f84(x75891),x75892),x75892)),f2(x75891)))+P134(f327(f327(f228(x75891),x75892),f2(x75891))) % 153.71/153.54 [7590]~P107(x75901)+~P134(f327(f327(f228(x75901),f327(f327(f84(x75901),x75902),x75902)),f2(x75901)))+P134(f327(f327(f228(x75901),x75902),f2(x75901))) % 153.71/153.54 [7591]~P66(x75911)+~P134(f327(f327(f227(x75911),f327(f327(f84(x75911),x75912),x75912)),f2(x75911)))+P134(f327(f327(f227(x75911),x75912),f2(x75911))) % 153.71/153.54 [4577]~E(x45772,f2(a834))+~E(x45771,f2(a834))+E(f327(f327(f84(a834),x45771),x45772),f2(a834)) % 153.71/153.54 [4578]~E(x45782,f82(a834))+~E(x45781,f82(a834))+E(f327(f327(f85(a834),x45781),x45782),f82(a834)) % 153.71/153.54 [4579]~E(x45792,f82(a1))+~E(x45791,f82(a1))+E(f327(f327(f85(a1),x45791),x45792),f82(a1)) % 153.71/153.54 [4630]~P7(x46302)+E(x46301,f2(x46302))+E(f327(f327(f44(x46302),x46301),x46301),f82(x46302)) % 153.71/153.54 [4631]~P110(x46312)+E(x46311,f2(x46312))+E(f327(f327(f278(x46312),x46311),x46311),f82(x46312)) % 153.71/153.54 [4632]~P111(x46322)+E(x46321,f2(x46322))+E(f327(f327(f278(x46322),x46321),x46321),f82(x46322)) % 153.71/153.54 [4648]~P66(x46481)+~E(x46482,f2(x46481))+E(f327(f327(f84(x46481),x46482),x46482),f2(x46481)) % 153.71/153.54 [4651]~P129(x46511)+~E(x46512,f82(x46511))+E(f327(f327(f85(x46511),x46512),x46512),f82(x46511)) % 153.71/153.54 [4652]~P111(x46521)+~E(x46522,f2(x46521))+E(f327(f327(f278(x46521),x46522),x46522),f2(x46521)) % 153.71/153.54 [4696]~E(x46962,f2(a834))+~E(x46961,f2(a834))+E(f327(f83(a1),f327(f99(a1),x46961)),f327(f99(a1),x46962)) % 153.71/153.54 [4714]E(x47141,f82(a834))+E(x47142,f2(a834))+~E(f327(f327(f85(a834),x47142),x47141),x47142) % 153.71/153.54 [4724]E(x47241,f2(a834))+E(x47242,f2(a834))+~E(f327(f327(f85(a834),x47242),x47241),f2(a834)) % 153.71/153.54 [4753]~E(x47532,f2(a834))+~E(x47531,f327(a111,f2(a834)))+E(f327(f327(f84(a834),x47531),x47532),f327(a111,f2(a834))) % 153.71/153.54 [4754]~E(x47541,f2(a834))+~E(x47542,f327(a111,f2(a834)))+E(f327(f327(f84(a834),x47541),x47542),f327(a111,f2(a834))) % 153.71/153.54 [4759]E(x47591,f82(a1))+E(x47592,f327(f103(a1),a96))+~E(f327(f327(f85(a1),x47591),x47592),f82(a1)) % 153.71/153.54 [4760]E(x47601,f82(a1))+E(x47602,f327(f103(a1),a96))+~E(f327(f327(f85(a1),x47602),x47601),f82(a1)) % 153.71/153.54 [4761]E(x47611,f82(a1))+E(x47611,f327(f103(a1),a96))+~E(f327(f327(f85(a1),x47612),x47611),f82(a1)) % 153.71/153.54 [4763]E(x47631,f82(a1))+E(x47631,f327(f103(a1),a96))+~E(f327(f327(f85(a1),x47631),x47632),f82(a1)) % 153.71/153.54 [4784]~P66(x47842)+E(x47841,f2(x47842))+~E(f327(f327(f84(x47842),x47841),x47841),f2(x47842)) % 153.71/153.54 [4790]~E(x47901,f327(f103(a1),a96))+~E(x47902,f327(f103(a1),a96))+E(f327(f327(f85(a1),x47901),x47902),f82(a1)) % 153.71/153.54 [4802]E(x48021,f2(a834))+E(x48022,f2(a834))+~E(f327(f327(f84(a834),x48022),x48021),f327(a111,f2(a834))) % 153.71/153.54 [4810]~P85(x48101)+~P58(x48101)+E(f327(f327(f278(x48101),x48102),f327(f103(x48101),a87)),f2(x48101)) % 153.71/153.54 [4817]~P129(x48171)+~E(x48172,f327(f83(x48171),f82(x48171)))+E(f327(f327(f85(x48171),x48172),x48172),f82(x48171)) % 153.71/153.54 [4822]~P10(x48222)+~P10(x48221)+P10(f327(f327(f84(a1),x48221),x48222)) % 153.71/153.54 [4823]~P10(x48232)+~P10(x48231)+P10(f327(f327(f85(a1),x48231),x48232)) % 153.71/153.54 [4824]~P10(x48242)+~P10(x48241)+P10(f327(f327(f44(a1),x48241),x48242)) % 153.71/153.54 [4826]~E(x48262,f2(a1))+E(x48261,f2(a1))+E(f54(x48261,x48262),f327(f327(f236(a1,a1),f2(a1)),x48261)) % 153.71/153.54 [4851]~E(x48512,f327(a111,f2(a834)))+~E(x48511,f327(a111,f2(a834)))+E(f327(f327(f85(a834),x48511),x48512),f327(a111,f2(a834))) % 153.71/153.54 [4865]E(x48651,f2(a834))+E(x48652,f327(a111,f2(a834)))+~E(f327(f327(f237(a834),x48652),x48651),f327(a111,f2(a834))) % 153.71/153.54 [4866]E(x48661,f2(a834))+E(x48661,f327(a111,f2(a834)))+~E(f327(f327(f84(a834),x48662),x48661),f327(a111,f2(a834))) % 153.71/153.54 [4867]E(x48671,f2(a834))+E(x48671,f327(a111,f2(a834)))+~E(f327(f327(f84(a834),x48671),x48672),f327(a111,f2(a834))) % 153.71/153.54 [4874]~P85(x48741)+~P58(x48741)+E(f327(f327(f278(x48741),x48742),f327(f103(x48741),a96)),f327(f83(x48741),x48742)) % 153.71/153.54 [4895]E(x48951,f327(a104,x48952))+~E(x48951,f2(a834))+P134(f327(f327(f227(a1),f2(a1)),x48952)) % 153.71/153.54 [4896]E(f327(a104,x48961),x48962)+~E(x48962,f2(a834))+P134(f327(f327(f227(a1),f2(a1)),x48961)) % 153.71/153.54 [4915]E(x49151,f327(a111,f2(a834)))+E(x49152,f327(a111,f2(a834)))+~E(f327(f327(f84(a834),x49151),x49152),f327(a111,f2(a834))) % 153.71/153.54 [4926]~E(x49261,f327(a104,x49262))+E(x49261,f2(a834))+P134(f327(f327(f227(a1),f2(a1)),x49262)) % 153.71/153.54 [4927]~E(f327(a104,x49272),x49271)+E(x49271,f2(a834))+P134(f327(f327(f227(a1),f2(a1)),x49272)) % 153.71/153.54 [4950]~P89(x49501)+E(f327(f68(x49501,f100(x49501)),x49502),f15(x49501,x49502))+~P134(f327(f66(x49501),x49502)) % 153.71/153.54 [4951]~P97(x49511)+E(f327(f68(x49511,f175(x49511)),x49512),f16(x49511,x49512))+~P134(f327(f66(x49511),x49512)) % 153.71/153.54 [4952]~P97(x49521)+E(f327(f68(x49521,f231(x49521)),x49522),f17(x49521,x49522))+~P134(f327(f66(x49521),x49522)) % 153.71/153.54 [4953]~P89(x49531)+E(f327(f68(x49531,f101(x49531)),x49532),f12(x49531,x49532))+~P134(f327(f66(x49531),x49532)) % 153.71/153.54 [5033]E(x50331,x50332)+~E(f327(f327(f3(a834),x50332),x50331),f2(a834))+~E(f327(f327(f3(a834),x50331),x50332),f2(a834)) % 153.71/153.54 [5046]P10(x50461)+~P35(x50462)+~P134(f327(f327(f329(a1),x50461),x50462)) % 153.71/153.54 [5076]~P107(x50761)+~E(f86(x50761,x50762),f82(x50761))+P134(f327(f327(f228(x50761),f2(x50761)),x50762)) % 153.71/153.54 [5087]~P85(x50871)+E(f327(f99(x50871),f327(f103(a834),x50872)),f327(f103(x50871),x50872))+P134(f327(a182,f327(f103(a1),x50872))) % 153.71/153.54 [5092]~P40(x50921,x50922)+P41(a831)+P134(f327(f66(f840(x50921,x50921)),x50922)) % 153.71/153.54 [5157]~P97(x51571)+E(f327(f68(x51571,f175(x51571)),x51572),f13(x51571,f175(x51571),x51572))+~P134(f327(f66(x51571),x51572)) % 153.71/153.54 [5158]~P97(x51581)+E(f327(f68(x51581,f231(x51581)),x51582),f14(x51581,f231(x51581),x51582))+~P134(f327(f66(x51581),x51582)) % 153.71/153.54 [5172]E(x51721,x51722)+P134(f327(f327(f228(a834),x51722),x51721))+P134(f327(f327(f228(a834),x51721),x51722)) % 153.71/153.54 [5173]E(x51731,x51732)+P134(f327(f327(f228(a1),x51732),x51731))+P134(f327(f327(f228(a1),x51731),x51732)) % 153.71/153.54 [5225]~P85(x52251)+E(f327(f99(x52251),f327(f103(a834),x52252)),f2(x52251))+~P134(f327(a182,f327(f103(a1),x52252))) % 153.71/153.54 [5228]~E(x52282,f327(a104,x52281))+E(x52281,f327(f99(a1),x52282))+~P134(f327(f327(f227(a1),f2(a1)),x52281)) % 153.71/153.54 [5229]~E(f327(a104,x52291),x52292)+E(x52291,f327(f99(a1),x52292))+~P134(f327(f327(f227(a1),f2(a1)),x52291)) % 153.71/153.54 [5230]~E(x52301,f327(a104,x52302))+E(f327(f99(a1),x52301),x52302)+~P134(f327(f327(f227(a1),f2(a1)),x52302)) % 153.71/153.54 [5241]E(x52411,f327(a104,x52412))+~E(x52412,f327(f99(a1),x52411))+~P134(f327(f327(f227(a1),f2(a1)),x52412)) % 153.71/153.54 [5242]E(f327(a104,x52421),x52422)+~E(x52421,f327(f99(a1),x52422))+~P134(f327(f327(f227(a1),f2(a1)),x52421)) % 153.71/153.54 [5271]~P82(x52712)+E(x52711,f2(x52712))+~P134(f327(f327(f274(x52712),f2(x52712)),x52711)) % 153.71/153.54 [5280]~P76(x52802)+E(x52801,f2(x52802))+P134(f327(f327(f228(x52802),f2(x52802)),f327(f79(x52802),x52801))) % 153.71/153.54 [5349]~P107(x53491)+E(f86(x53491,x53492),f82(x53491))+~P134(f327(f327(f228(x53491),f2(x53491)),x53492)) % 153.71/153.54 [5355]~P85(x53551)+E(f327(f99(x53551),f327(f103(a834),x53552)),f2(x53551))+P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x53552))) % 153.71/153.54 [5362]~P76(x53621)+E(f327(f79(x53621),x53622),x53622)+~P134(f327(f327(f228(x53621),f2(x53621)),x53622)) % 153.71/153.54 [5363]~P76(x53631)+E(f327(f79(x53631),x53632),x53632)+~P134(f327(f327(f227(x53631),f2(x53631)),x53632)) % 153.71/153.54 [5370]E(x53701,f2(a834))+~E(f126(a834,f327(f289(a834,x53702),x53701)),f112(a834))+P134(f327(f327(f227(a834),x53701),x53702)) % 153.71/153.54 [5380]~P65(x53801)+E(f327(f327(f8(x53801,x53801),f7(x53801)),f327(f154(x53801),x53802)),f327(f148(x53801),x53802))+~P134(f327(f124(x53801),x53802)) % 153.71/153.54 [5383]~P130(x53831)+E(f327(f99(x53831),f327(a104,x53832)),f327(f102(x53831),x53832))+~P134(f327(f327(f227(a1),f2(a1)),x53832)) % 153.71/153.54 [5407]E(x54071,x54072)+P134(f327(f327(f228(a834),x54071),x54072))+~P134(f327(f327(f227(a834),x54071),x54072)) % 153.71/153.54 [5408]E(x54081,x54082)+P134(f327(f327(f228(a1),x54081),x54082))+~P134(f327(f327(f227(a1),x54081),x54082)) % 153.71/153.54 [5411]E(x54111,f82(a1))+~E(f327(f327(f85(a1),x54112),x54111),f82(a1))+~P134(f327(f327(f228(a1),f2(a1)),x54112)) % 153.71/153.54 [5412]E(x54121,f82(a1))+~E(f327(f327(f85(a1),x54121),x54122),f82(a1))+~P134(f327(f327(f228(a1),f2(a1)),x54121)) % 153.71/153.54 [5452]~P35(x54522)+P134(f327(f327(f227(a1),f2(a1)),x54521))+~P134(f327(f327(f329(a1),x54521),x54522)) % 153.71/153.54 [5470]~P54(x54701,x54702)+P33(x54701,x54702)+~P134(f327(f66(f840(x54701,x54701)),x54702)) % 153.71/153.54 [5472]~P54(x54721,x54722)+P40(x54721,x54722)+~P134(f327(f66(f840(x54721,x54721)),x54722)) % 153.71/153.54 [5516]E(x55161,f176(f841(x55162,a831)))+~P134(f327(f66(x55162),x55161))+P134(f327(f327(f228(a834),f2(a834)),f327(f43(x55162),x55161))) % 153.71/153.54 [5546]~P134(f327(x55461,x55462))+P134(f327(x55461,f2(a834)))+P134(f327(f327(f228(a834),f721(x55462,x55461)),x55462)) % 153.71/153.54 [5571]E(x55711,f2(a834))+~E(f327(f148(a834),x55712),f2(a834))+~P134(f327(f327(f329(a834),x55711),f327(f154(a834),x55712))) % 153.71/153.54 [5638]~E(x56382,f2(a834))+P134(f327(f327(f227(a1),f2(a1)),x56381))+P134(f327(f327(f274(a834),f327(a104,x56381)),x56382)) % 153.71/153.54 [5641]E(x56411,x56412)+~P134(f327(f327(f227(a834),x56412),x56411))+~P134(f327(f327(f227(a834),x56411),x56412)) % 153.71/153.54 [5642]E(x56421,x56422)+~P134(f327(f327(f227(a1),x56422),x56421))+~P134(f327(f327(f227(a1),x56421),x56422)) % 153.71/153.54 [5651]E(x56511,x56512)+~P134(f327(f327(f274(a834),x56512),x56511))+~P134(f327(f327(f274(a834),x56511),x56512)) % 153.71/153.54 [5652]E(f327(f43(x56521),x56522),f2(a834))+~P134(f327(f66(x56521),x56522))+P134(f327(f327(f329(x56521),f603(x56522,x56521)),x56522)) % 153.71/153.54 [5658]E(f58(x56581,x56582),f54(x56581,x56582))+P134(f327(f327(f227(a1),f2(a1)),x56581))+~P134(f327(f327(f228(a1),f2(a1)),x56582)) % 153.71/153.54 [5689]~P134(f327(x56891,f678(x56891)))+P134(f327(x56891,f327(a104,x56892)))+~P134(f327(f327(f227(a1),f2(a1)),x56892)) % 153.71/153.54 [5691]P134(f327(f327(f228(a834),x56911),f392(x56912)))+~P134(f327(f66(a834),x56912))+~P134(f327(f327(f329(a834),x56911),x56912)) % 153.71/153.54 [5692]P134(f327(f327(f227(a834),x56921),f394(x56922)))+~P134(f327(f66(a834),x56922))+~P134(f327(f327(f329(a834),x56921),x56922)) % 153.71/153.54 [5721]E(x57211,x57212)+~P134(f327(f327(f228(a834),x57211),f327(a111,x57212)))+P134(f327(f327(f228(a834),x57211),x57212)) % 153.71/153.54 [5760]E(x57601,f327(a111,x57602))+~P134(f327(f327(f227(a834),x57601),f327(a111,x57602)))+P134(f327(f327(f227(a834),x57601),x57602)) % 153.71/153.54 [5770]P134(f327(x57701,f709(x57701)))+~P134(f327(x57701,f327(a104,x57702)))+~P134(f327(f327(f227(a1),f2(a1)),x57702)) % 153.71/153.54 [5772]E(f327(f79(a1),x57721),f327(f79(a1),x57722))+~P134(f327(f327(f274(a1),x57722),x57721))+~P134(f327(f327(f274(a1),x57721),x57722)) % 153.71/153.54 [5785]~P134(f327(x57851,x57852))+~P134(f327(f327(f227(a1),f2(a1)),x57852))+P134(f327(x57851,f327(f99(a1),f637(x57851)))) % 153.71/153.54 [5800]~P76(x58002)+~E(x58001,f2(x58002))+~P134(f327(f327(f228(x58002),f2(x58002)),f327(f79(x58002),x58001))) % 153.71/153.54 [5826]~P54(x58261,x58262)+P33(x58261,f327(f273(x58261,x58261),x58262))+~P134(f327(f66(f840(x58261,x58261)),x58262)) % 153.71/153.54 [5834]~P85(x58341)+E(f327(f99(x58341),f327(f103(a834),x58342)),f327(f103(x58341),x58342))+~P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x58342))) % 153.71/153.54 [5837]E(f327(a111,x58371),x58372)+~P134(f327(f327(f228(a834),x58371),x58372))+P134(f327(f327(f228(a834),f327(a111,x58371)),x58372)) % 153.71/153.54 [5850]E(f327(f327(f44(a1),x58501),x58502),f2(a1))+~P134(f327(f327(f227(a1),x58501),f2(a1)))+~P134(f327(f327(f228(a1),x58502),x58501)) % 153.71/153.54 [5864]E(f53(a1,x58641,x58642),x58641)+~P134(f327(f327(f227(a1),x58641),f2(a1)))+~P134(f327(f327(f228(a1),x58642),x58641)) % 153.71/153.54 [5878]E(f55(x58781,x58782),f54(x58781,x58782))+~P134(f327(f327(f227(a1),f2(a1)),x58781))+~P134(f327(f327(f227(a1),f2(a1)),x58782)) % 153.71/153.54 [5889]E(f327(f327(f44(a1),x58891),x58892),f2(a1))+~P134(f327(f327(f227(a1),f2(a1)),x58891))+~P134(f327(f327(f228(a1),x58891),x58892)) % 153.71/153.54 [5900]E(f53(a834,f327(f103(a834),x59001),f327(f103(a834),x59002)),f327(f103(a834),x59001))+P134(f327(a182,f327(f103(a1),x59001)))+~P134(f327(a182,f327(f103(a1),x59002))) % 153.71/153.54 [5902]E(f53(a1,x59021,x59022),x59021)+~P134(f327(f327(f227(a1),f2(a1)),x59021))+~P134(f327(f327(f228(a1),x59021),x59022)) % 153.71/153.54 [5904]E(x59041,x59042)+~P134(f327(f327(f228(a834),x59041),f327(a111,x59042)))+~P134(f327(f327(f227(a834),x59042),x59041)) % 153.71/153.54 [5920]~P107(x59201)+~P134(f327(f327(f228(x59201),x59202),f2(x59201)))+P134(f327(f327(f228(x59201),x59202),f327(f83(x59201),x59202))) % 153.71/153.54 [5921]~P66(x59211)+~P134(f327(f327(f227(x59211),x59212),f2(x59211)))+P134(f327(f327(f227(x59211),x59212),f327(f83(x59211),x59212))) % 153.71/153.54 [5930]~P9(x59301)+E(f327(f327(f69(x59301,x59301,f101(x59301)),f234(x59301)),x59302),f46(x59301,x59302))+~P134(f327(f66(x59301),x59302)) % 153.71/153.54 [5931]~P9(x59311)+E(f327(f327(f69(x59311,x59311,f100(x59311)),f176(x59311)),x59312),f45(x59311,x59312))+~P134(f327(f66(x59311),x59312)) % 153.71/153.54 [5945]~P114(x59451)+~P134(f327(f327(f228(a834),f2(a834)),x59452))+P134(f327(f327(f228(x59451),f2(x59451)),f327(f99(x59451),x59452))) % 153.71/153.54 [5946]~P107(x59461)+~P134(f327(f327(f228(a1),f2(a1)),x59462))+P134(f327(f327(f228(x59461),f2(x59461)),f327(f102(x59461),x59462))) % 153.71/153.54 [5947]~P107(x59471)+~P134(f327(f327(f227(a1),f2(a1)),x59472))+P134(f327(f327(f227(x59471),f2(x59471)),f327(f102(x59471),x59472))) % 153.71/153.54 [5950]~P10(x59502)+~P10(x59501)+E(f327(f298(a834,a1,f99(a1)),f290(a834,f327(a104,x59501),f327(a104,x59502))),f290(a1,x59501,x59502)) % 153.71/153.54 [5956]P134(f327(x59561,x59562))+~P134(f327(f327(f227(a1),f2(a1)),x59562))+~P134(f327(x59561,f327(f99(a1),f638(x59561)))) % 153.71/153.54 [5983]E(f327(f327(f84(a834),f327(f103(a834),x59831)),f327(f103(a834),x59832)),f327(f103(a834),x59831))+P134(f327(f327(f228(a1),x59831),a87))+~P134(f327(f327(f228(a1),x59832),a87)) % 153.71/153.54 [5987]~P107(x59871)+P134(f327(f327(f228(x59871),f2(x59871)),f86(x59871,x59872)))+~P134(f327(f327(f228(x59871),f2(x59871)),x59872)) % 153.71/153.54 [6001]~P74(x60011)+~P134(f327(f327(f228(x60011),x60012),f2(x60011)))+P134(f327(f327(f228(x60011),f2(x60011)),f327(f83(x60011),x60012))) % 153.71/153.54 [6002]~P74(x60021)+~P134(f327(f327(f227(x60021),x60022),f2(x60021)))+P134(f327(f327(f227(x60021),f2(x60021)),f327(f83(x60021),x60022))) % 153.71/153.54 [6005]E(x60051,f2(a834))+P134(f327(f327(f227(a1),f2(a1)),x60052))+~P134(f327(f327(f274(a834),f327(a104,x60052)),x60051)) % 153.71/153.54 [6006]E(x60061,f234(f841(x60062,a831)))+~E(f327(f43(x60062),x60061),f327(f43(x60062),f234(f841(x60062,a831))))+~P134(f327(f66(x60062),f234(f841(x60062,a831)))) % 153.71/153.54 [6037]~P134(f327(f327(f228(a834),f2(a834)),x60372))+~P134(f327(f327(f274(a834),x60371),x60372))+P134(f327(f327(f227(a834),x60371),x60372)) % 153.71/153.54 [6038]~P134(f327(f327(f228(a1),f2(a1)),x60382))+~P134(f327(f327(f274(a1),x60381),x60382))+P134(f327(f327(f227(a1),x60381),x60382)) % 153.71/153.54 [6044]~P107(x60441)+P134(f327(f327(f228(x60441),x60442),f2(x60441)))+~P134(f327(f327(f228(x60441),x60442),f327(f83(x60441),x60442))) % 153.71/153.54 [6045]~P66(x60451)+P134(f327(f327(f227(x60451),x60452),f2(x60451)))+~P134(f327(f327(f227(x60451),x60452),f327(f83(x60451),x60452))) % 153.71/153.54 [6053]~P85(x60531)+P134(f327(f327(f329(x60531),f327(f103(x60531),x60532)),f172(x60531)))+~P134(f327(f327(f227(a1),a87),x60532)) % 153.71/153.54 [6086]E(x60861,f2(a834))+~P134(f327(f327(f228(a834),x60861),f327(a111,x60862)))+P134(f327(f327(f228(a834),f476(x60862,x60861)),x60862)) % 153.71/153.54 [6110]~P107(x61101)+~P134(f327(f327(f228(x61101),f2(x61101)),f86(x61101,x61102)))+P134(f327(f327(f228(x61101),f2(x61101)),x61102)) % 153.71/153.54 [6112]~E(f327(f103(a834),x61122),f327(f103(a834),x61121))+P134(f327(f327(f227(a1),f327(f103(a1),x61121)),f2(a1)))+~P134(f327(a182,f327(f103(a1),x61122))) % 153.71/153.54 [6140]E(f327(f235(a1,a1),f58(x61401,x61402)),f327(f327(f44(a1),x61401),x61402))+~P134(f327(f327(f228(a1),x61401),f2(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x61402)) % 153.71/153.54 [6174]E(f327(f245(a1,a1),f58(x61741,x61742)),f53(a1,x61741,x61742))+~P134(f327(f327(f228(a1),x61741),f2(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x61742)) % 153.71/153.54 [6176]E(x61761,f2(a1))+~P134(f327(f327(f274(a1),x61762),x61761))+P134(f327(f327(f227(a1),f327(f79(a1),x61762)),f327(f79(a1),x61761))) % 153.71/153.54 [6178]~P114(x61782)+~P134(f327(f327(f228(x61782),f2(x61782)),f327(f99(x61782),x61781)))+P134(f327(f327(f228(a834),f2(a834)),x61781)) % 153.71/153.54 [6179]~P107(x61792)+~P134(f327(f327(f228(x61792),f2(x61792)),f327(f102(x61792),x61791)))+P134(f327(f327(f228(a1),f2(a1)),x61791)) % 153.71/153.54 [6180]~P107(x61802)+~P134(f327(f327(f227(x61802),f2(x61802)),f327(f102(x61802),x61801)))+P134(f327(f327(f227(a1),f2(a1)),x61801)) % 153.71/153.54 [6186]~E(x61862,f2(a834))+P134(f327(f327(f274(a834),f327(a104,x61861)),x61862))+~P134(f327(f327(f274(a1),x61861),f327(f99(a1),x61862))) % 153.71/153.54 [6187]E(f327(f235(a1,a1),f55(x61871,x61872)),f327(f327(f44(a1),x61871),x61872))+~P134(f327(f327(f228(a1),f2(a1)),x61871))+~P134(f327(f327(f227(a1),f2(a1)),x61872)) % 153.71/153.54 [6203]E(f327(f245(a1,a1),f55(x62031,x62032)),f53(a1,x62031,x62032))+~P134(f327(f327(f228(a1),f2(a1)),x62031))+~P134(f327(f327(f227(a1),f2(a1)),x62032)) % 153.71/153.54 [6219]~P74(x62191)+P134(f327(f327(f228(x62191),x62192),f2(x62191)))+~P134(f327(f327(f228(x62191),f2(x62191)),f327(f83(x62191),x62192))) % 153.71/153.54 [6220]~P74(x62201)+P134(f327(f327(f227(x62201),x62202),f2(x62201)))+~P134(f327(f327(f227(x62201),f2(x62201)),f327(f83(x62201),x62202))) % 153.71/153.54 [6246]P134(f327(f57(x62461,x62462),f58(x62461,x62462)))+~P134(f327(f327(f228(a1),x62461),f2(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x62462)) % 153.71/153.54 [6261]~P134(f327(f327(f228(a834),f2(a834)),x62611))+~P134(f327(f327(f274(a834),x62612),x62611))+~P134(f327(f327(f228(a834),x62611),x62612)) % 153.71/153.54 [6262]~P134(f327(f327(f228(a1),f2(a1)),x62621))+~P134(f327(f327(f274(a1),x62622),x62621))+~P134(f327(f327(f228(a1),x62621),x62622)) % 153.71/153.54 [6274]P134(f327(f57(x62741,x62742),f55(x62741,x62742)))+~P134(f327(f327(f228(a1),f2(a1)),x62742))+~P134(f327(f327(f227(a1),f2(a1)),x62741)) % 153.71/153.54 [6315]~P74(x63151)+P134(f327(f327(f228(x63151),f327(f83(x63151),x63152)),f2(x63151)))+~P134(f327(f327(f228(x63151),f2(x63151)),x63152)) % 153.71/153.54 [6316]~P74(x63161)+P134(f327(f327(f227(x63161),f327(f83(x63161),x63162)),f2(x63161)))+~P134(f327(f327(f227(x63161),f2(x63161)),x63162)) % 153.71/153.54 [6338]E(f327(f327(f3(a834),f327(a104,x63381)),f327(a104,x63382)),f327(a104,f183(x63381,x63382)))+~P134(f327(f327(f227(a1),f2(a1)),x63382))+~P134(f327(f327(f227(a1),f2(a1)),x63381)) % 153.71/153.54 [6356]P134(f327(f327(f227(a1),f2(a1)),f183(x63561,x63562)))+~P134(f327(f327(f227(a1),f2(a1)),x63562))+~P134(f327(f327(f227(a1),f2(a1)),x63561)) % 153.71/153.54 [6394]~P134(f327(x63941,x63942))+P134(f327(x63941,f2(a834)))+P134(f327(x63941,f327(f327(f84(a834),f721(x63942,x63941)),f82(a834)))) % 153.71/153.54 [6477]E(f327(f103(a834),x64771),f327(f103(a834),x64772))+~P134(f327(f327(f227(a1),f327(f103(a1),x64772)),f2(a1)))+~P134(f327(a182,f327(f103(a1),x64771))) % 153.71/153.54 [6490]~E(x64901,f2(a834))+~E(f722(x64902,x64901),f2(a834))+E(f327(f128(a834,a834,f84(a834),x64901),x64902),f2(a834)) % 153.71/153.54 [6515]~P134(f327(f66(x65151),f646(x65152,x65151)))+~P134(f327(f66(f841(x65151,a831)),x65152))+P134(f327(f66(x65151),f45(f841(x65151,a831),x65152))) % 153.71/153.54 [6521]E(x65211,x65212)+P134(f327(f327(f228(a1),x65211),x65212))+~P134(f327(f327(f228(a1),x65211),f327(f327(f84(a1),x65212),f82(a1)))) % 153.71/153.54 [6523]P134(f327(f327(f228(a834),f327(a104,x65231)),f327(a104,x65232)))+~P134(f327(f327(f228(a1),f2(a1)),x65232))+~P134(f327(f327(f228(a1),x65231),x65232)) % 153.71/153.54 [6524]P134(f327(f327(f228(a834),f327(a104,x65241)),f327(a104,x65242)))+~P134(f327(f327(f227(a1),f2(a1)),x65241))+~P134(f327(f327(f228(a1),x65241),x65242)) % 153.71/153.54 [6525]P134(f327(f327(f227(a834),f327(a104,x65251)),f327(a104,x65252)))+~P134(f327(f327(f228(a1),f2(a1)),x65251))+~P134(f327(f327(f227(a1),x65251),x65252)) % 153.71/153.54 [6526]P134(f327(f327(f227(a834),f327(a104,x65261)),f327(a104,x65262)))+~P134(f327(f327(f227(a1),f2(a1)),x65262))+~P134(f327(f327(f227(a1),x65261),x65262)) % 153.71/153.54 [6537]E(f53(a834,f327(a104,x65371),f327(a104,x65372)),f327(a104,f53(a1,x65371,x65372)))+~P134(f327(f327(f227(a1),f2(a1)),x65372))+~P134(f327(f327(f227(a1),f2(a1)),x65371)) % 153.71/153.54 [6557]~P74(x65571)+~P134(f327(f327(f228(x65571),f327(f83(x65571),x65572)),f2(x65571)))+P134(f327(f327(f228(x65571),f2(x65571)),x65572)) % 153.71/153.54 [6558]~P74(x65581)+~P134(f327(f327(f227(x65581),f327(f83(x65581),x65582)),f2(x65581)))+P134(f327(f327(f227(x65581),f2(x65581)),x65582)) % 153.71/153.54 [6575]~P134(f327(f327(f228(a1),a87),x65752))+~P134(f327(f327(f228(a1),x65751),x65752))+P134(f327(f327(f228(a834),f327(f103(a834),x65751)),f327(f103(a834),x65752))) % 153.71/153.54 [6672]~P134(f327(f327(f227(a1),f2(a1)),x66721))+P134(f327(f327(f228(a834),f327(a104,x66721)),x66722))+~P134(f327(f327(f228(a1),x66721),f327(f99(a1),x66722))) % 153.71/153.54 [6673]~P134(f327(f327(f227(a1),f2(a1)),x66731))+P134(f327(f327(f274(a834),f327(a104,x66731)),x66732))+~P134(f327(f327(f274(a1),x66731),f327(f99(a1),x66732))) % 153.71/153.54 [6688]E(x66881,f2(a1))+E(f53(a1,x66882,x66881),f2(a1))+E(f327(f327(f3(a1),f327(f83(a1),f327(f327(f44(a1),x66882),x66881))),f82(a1)),f327(f327(f44(a1),x66882),f327(f83(a1),x66881))) % 153.71/153.54 [6704]~P134(f327(f327(f227(a1),f2(a1)),x67041))+~P134(f327(f327(f228(a834),f327(a104,x67041)),x67042))+P134(f327(f327(f228(a1),x67041),f327(f99(a1),x67042))) % 153.71/153.54 [6705]~P134(f327(f327(f227(a1),f2(a1)),x67051))+~P134(f327(f327(f274(a834),f327(a104,x67051)),x67052))+P134(f327(f327(f274(a1),x67051),f327(f99(a1),x67052))) % 153.71/153.54 [6744]~P134(f327(f327(f227(a834),f327(a104,x67441)),f327(a104,x67442)))+~P134(f327(f327(f228(a1),f2(a1)),x67441))+P134(f327(f327(f227(a1),x67441),x67442)) % 153.71/153.54 [6745]~P134(f327(f327(f227(a834),f327(a104,x67451)),f327(a104,x67452)))+~P134(f327(f327(f227(a1),f2(a1)),x67452))+P134(f327(f327(f227(a1),x67451),x67452)) % 153.71/153.54 [6776]P134(f327(f327(f227(a1),x67761),x67762))+~P134(f327(f327(f227(a834),f327(f103(a834),x67761)),f327(f103(a834),x67762)))+P134(f327(f327(f227(a1),x67761),a87)) % 153.71/153.54 [6801]P134(f327(f327(f227(a1),f2(a1)),f53(a1,x68011,x68012)))+~P134(f327(f327(f227(a1),f2(a1)),x68012))+~P134(f327(f327(f227(a1),f2(a1)),x68011)) % 153.71/153.54 [6903]P134(f327(f327(f228(a1),a87),x69031))+~P134(f327(f327(f228(a1),x69032),x69031))+~P134(f327(f327(f228(a834),f327(f103(a834),x69032)),f327(f103(a834),x69031))) % 153.71/153.54 [6953]E(f327(f327(f236(a1,a1),f327(f327(f44(a1),x69531),x69532)),f53(a1,x69531,x69532)),f58(x69531,x69532))+~P134(f327(f327(f228(a1),x69531),f2(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x69532)) % 153.71/153.54 [6974]E(f327(f327(f236(a1,a1),f327(f327(f44(a1),x69741),x69742)),f53(a1,x69741,x69742)),f55(x69741,x69742))+~P134(f327(f327(f227(a1),f2(a1)),x69742))+~P134(f327(f327(f227(a1),f2(a1)),x69741)) % 153.71/153.54 [7031]~P88(x70312)+E(x70311,f112(x70312))+E(f327(f128(x70312,x70312,f85(x70312),f327(f127(x70312),x70311)),f327(f153(x70312),x70311)),f327(f68(x70312,f85(x70312)),f327(f154(x70312),x70311))) % 153.71/153.54 [7146]~E(x71461,f2(a834))+E(f327(f128(a834,a834,f84(a834),x71461),x71462),f2(a834))+P134(f327(f327(f329(a834),f722(x71462,x71461)),f327(f154(a834),x71462))) % 153.71/153.54 [7200]~P134(f327(f327(f228(a1),x72002),f2(a1)))+P134(f327(f327(f228(a1),f327(f327(f44(a1),x72001),x72002)),f2(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x72001)) % 153.71/153.54 [7202]~P134(f327(f327(f228(a1),x72021),f2(a1)))+P134(f327(f327(f228(a1),f327(f327(f44(a1),x72021),x72022)),f2(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x72022)) % 153.71/153.54 [7203]~P134(f327(f327(f228(a1),x72032),f2(a1)))+P134(f327(f327(f227(a1),f327(f327(f44(a1),x72031),x72032)),f2(a1)))+~P134(f327(f327(f227(a1),f2(a1)),x72031)) % 153.71/153.54 [7204]~P134(f327(f327(f227(a1),x72041),f2(a1)))+P134(f327(f327(f227(a1),f327(f327(f44(a1),x72041),x72042)),f2(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x72042)) % 153.71/153.54 [7214]P134(f327(f327(f329(f841(x72141,a831)),f646(x72142,x72141)),x72142))+~P134(f327(f66(f841(x72141,a831)),x72142))+P134(f327(f66(x72141),f45(f841(x72141,a831),x72142))) % 153.71/153.54 [7316]P28(x73161,x73161,x73162,f234(f841(x73161,a831)))+~E(f327(f298(x73161,x73161,x73162),f234(f841(x73161,a831))),f234(f841(x73161,a831)))+~P134(f327(f66(x73161),f234(f841(x73161,a831)))) % 153.71/153.54 [7442]~P28(x74421,x74421,x74422,f234(f841(x74421,a831)))+E(f327(f298(x74421,x74421,x74422),f234(f841(x74421,a831))),f234(f841(x74421,a831)))+~P134(f327(f66(x74421),f234(f841(x74421,a831)))) % 153.71/153.54 [7583]E(f327(f327(f44(a1),x75831),x75832),f327(f103(a1),a96))+~P134(f327(f327(f227(a1),f327(f327(f84(a1),x75831),x75832)),f2(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x75831)) % 153.71/153.54 [7640]~P134(f327(f327(f228(a1),x76402),f2(a1)))+~P134(f327(f327(f228(a1),f327(f327(f44(a1),x76401),x76402)),f2(a1)))+P134(f327(f327(f228(a1),f2(a1)),x76401)) % 153.71/153.54 [7645]E(f327(f327(f84(a1),x76451),x76452),f53(a1,x76451,x76452))+~P134(f327(f327(f227(a1),f327(f327(f84(a1),x76451),x76452)),f2(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x76451)) % 153.71/153.54 [7648]P134(f327(f327(f228(a1),x76481),f2(a1)))+~P134(f327(f327(f228(a1),f327(f327(f44(a1),x76481),x76482)),f2(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x76482)) % 153.71/153.54 [7899]~P96(x78991)+P48(a834,x78991,f274(a834),x78992)+~P134(f327(f327(f227(x78991),f327(x78992,f799(x78992,x78991))),f327(x78992,f821(x78992,x78991)))) % 153.71/153.54 [8327]~P97(x83271)+P18(x83271,x83272)+~P134(f327(f327(f227(x83271),f327(f327(f146(x83271),x83272),f742(x83272,x83271))),f327(f327(f146(x83271),x83272),f743(x83272,x83271)))) % 153.71/153.54 [8328]~P97(x83281)+P18(x83281,x83282)+~P134(f327(f327(f227(x83281),f327(f327(f146(x83281),x83282),f748(x83282,x83281))),f327(f327(f146(x83281),x83282),f758(x83282,x83281)))) % 153.71/153.54 [5510]E(x55101,f2(a1))+~E(f53(a1,x55102,x55101),f2(a1))+E(f327(f327(f44(a1),x55102),f327(f83(a1),x55101)),f327(f83(a1),f327(f327(f44(a1),x55102),x55101))) % 153.71/153.54 [5531]~P35(x55312)+~P35(x55311)+P35(f327(f327(f100(f841(a1,a831)),x55311),x55312)) % 153.71/153.54 [5532]~P35(x55322)+~P35(x55321)+P35(f327(f327(f101(f841(a1,a831)),x55321),x55322)) % 153.71/153.54 [5549]~P85(x55491)+~P58(x55491)+E(f327(f83(x55491),f327(f327(f278(x55491),f82(x55491)),x55492)),f327(f327(f278(x55491),f327(f103(x55491),a96)),x55492)) % 153.71/153.54 [5681]E(x56811,f2(a1))+~E(f53(a1,x56812,x56811),f2(a1))+E(f327(f327(f44(a1),f327(f83(a1),x56812)),x56811),f327(f83(a1),f327(f327(f44(a1),x56812),x56811))) % 153.71/153.54 [5820]~P97(x58201)+P18(x58201,x58202)+P134(f327(f327(f228(a834),f743(x58202,x58201)),f327(f177(f835(x58201)),x58202))) % 153.71/153.54 [5821]~P97(x58211)+P18(x58211,x58212)+P134(f327(f327(f228(a834),f758(x58212,x58211)),f327(f177(f835(x58211)),x58212))) % 153.71/153.54 [5979]~P85(x59791)+~E(f327(f103(x59791),x59792),f2(x59791))+P30(x59791,f327(f103(x59791),f327(f327(f84(a1),x59792),f327(f83(a1),a87)))) % 153.71/153.54 [5980]~P85(x59801)+~E(f327(f103(x59801),x59802),f2(x59801))+P30(x59801,f327(f103(x59801),f327(f327(f84(a1),a87),f327(f83(a1),x59802)))) % 153.71/153.54 [5982]E(f327(a59,f55(f327(f83(a1),x59821),f327(f83(a1),x59822))),f54(x59821,x59822))+P134(f327(f327(f228(a1),f2(a1)),x59822))+P134(f327(f327(f227(a1),f2(a1)),x59821)) % 153.71/153.54 [6118]~E(x61182,f2(a834))+~E(x61181,f2(a834))+P134(f327(f327(f227(a1),f327(f99(a1),x61181)),f327(f83(a1),f327(f99(a1),x61182)))) % 153.71/153.54 [6144]E(f327(f327(f84(a834),f327(f103(a834),x61441)),f327(f103(a834),x61442)),f327(f103(a834),f327(f327(f84(a1),x61441),x61442)))+P134(f327(f327(f228(a1),x61441),a87))+P134(f327(f327(f228(a1),x61442),a87)) % 153.71/153.54 [6283]~P66(x62831)+~P134(f327(f327(f228(x62831),f2(x62831)),x62832))+P134(f327(f327(f228(x62831),f327(f83(x62831),x62832)),x62832)) % 153.71/153.54 [6284]~P66(x62841)+~P134(f327(f327(f227(x62841),f2(x62841)),x62842))+P134(f327(f327(f227(x62841),f327(f83(x62841),x62842)),x62842)) % 153.71/153.54 [6461]E(f327(f327(f3(a834),f327(a104,x64611)),f327(a104,x64612)),f327(a104,f327(f327(f3(a1),x64611),x64612)))+~P134(f327(f327(f227(a1),f2(a1)),x64612))+~P134(f327(f327(f227(a1),x64612),x64611)) % 153.71/153.54 [6498]E(f327(a104,f53(a1,f327(f103(a1),x64981),f327(f103(a1),x64982))),f53(a834,f327(f103(a834),x64981),f327(f103(a834),x64982)))+P134(f327(a182,f327(f103(a1),x64981)))+P134(f327(a182,f327(f103(a1),x64982))) % 153.71/153.54 [6516]~P66(x65161)+P134(f327(f327(f228(x65161),f2(x65161)),x65162))+~P134(f327(f327(f228(x65161),f327(f83(x65161),x65162)),x65162)) % 153.71/153.54 [6517]~P66(x65171)+P134(f327(f327(f227(x65171),f2(x65171)),x65172))+~P134(f327(f327(f227(x65171),f327(f83(x65171),x65172)),x65172)) % 153.71/153.54 [6528]~P66(x65281)+~P134(f327(f327(f228(x65281),f2(x65281)),x65282))+P134(f327(f327(f228(x65281),f2(x65281)),f327(f327(f84(x65281),x65282),x65282))) % 153.71/153.54 [6530]~P66(x65301)+~P134(f327(f327(f227(x65301),f2(x65301)),x65302))+P134(f327(f327(f227(x65301),f2(x65301)),f327(f327(f84(x65301),x65302),x65302))) % 153.71/153.54 [6541]E(f327(f327(f84(a834),f327(a104,x65411)),f327(a104,x65412)),f327(a104,f327(f327(f84(a1),x65411),x65412)))+~P134(f327(f327(f227(a1),f2(a1)),x65412))+~P134(f327(f327(f227(a1),f2(a1)),x65411)) % 153.71/153.54 [6553]E(x65531,f2(a834))+P134(f327(f327(f228(a834),f2(a834)),x65532))+~P134(f327(f327(f228(a834),f2(a834)),f327(f327(f237(a834),x65532),x65531))) % 153.71/153.54 [6586]~P85(x65861)+E(f327(f103(x65861),x65862),f2(x65861))+~P30(x65861,f327(f103(x65861),f327(f327(f84(a1),a87),f327(f83(a1),x65862)))) % 153.71/153.54 [6587]~P85(x65871)+E(f327(f103(x65871),x65872),f2(x65871))+~P30(x65871,f327(f103(x65871),f327(f327(f84(a1),x65872),f327(f83(a1),a87)))) % 153.71/153.54 [6649]~P134(f327(f66(x66491),x66492))+~P134(f327(f66(x66491),f234(f841(x66491,a831))))+P134(f327(f66(x66491),f327(f83(f841(x66491,a831)),x66492))) % 153.71/153.54 [6674]~P134(f327(f327(f228(a1),f2(a1)),x66742))+~P134(f327(f327(f227(a1),x66742),x66741))+P134(f327(f327(f228(a1),f2(a1)),f327(f327(f44(a1),x66741),x66742))) % 153.71/153.54 [6675]~P134(f327(f327(f228(a1),x66752),f2(a1)))+~P134(f327(f327(f227(a1),x66751),f2(a1)))+P134(f327(f327(f227(a1),f2(a1)),f327(f327(f44(a1),x66751),x66752))) % 153.71/153.54 [6715]~P134(f327(f327(f228(a834),f2(a834)),x67152))+~P134(f327(f327(f228(a834),f2(a834)),x67151))+P134(f327(f327(f228(a834),f2(a834)),f327(f327(f85(a834),x67151),x67152))) % 153.71/153.54 [6716]~P134(f327(f327(f227(a1),f2(a1)),x67162))+~P134(f327(f327(f227(a1),f2(a1)),x67161))+P134(f327(f327(f227(a1),f2(a1)),f327(f327(f84(a1),x67161),x67162))) % 153.71/153.54 [6717]~P134(f327(f327(f227(a1),f2(a1)),x67172))+~P134(f327(f327(f227(a1),f2(a1)),x67171))+P134(f327(f327(f227(a1),f2(a1)),f327(f327(f85(a1),x67171),x67172))) % 153.71/153.54 [6718]~P134(f327(f327(f228(a1),f2(a1)),x67182))+~P134(f327(f327(f227(a1),f2(a1)),x67181))+P134(f327(f327(f227(a1),f2(a1)),f327(f327(f44(a1),x67181),x67182))) % 153.71/153.54 [6719]~P134(f327(f327(f227(a1),f2(a1)),x67192))+~P134(f327(f327(f227(a1),f2(a1)),x67191))+P134(f327(f327(f227(a1),f2(a1)),f327(f327(f44(a1),x67191),x67192))) % 153.71/153.54 [6787]E(x67871,f2(a1))+E(f53(a1,x67872,x67871),f2(a1))+E(f327(f327(f3(a1),f327(f83(a1),f327(f327(f44(a1),x67872),x67871))),f82(a1)),f327(f327(f44(a1),f327(f83(a1),x67872)),x67871)) % 153.71/153.54 [6845]P134(f327(f327(f228(a834),f2(a834)),x68451))+P134(f327(f327(f228(a834),f2(a834)),x68452))+~P134(f327(f327(f228(a834),f2(a834)),f327(f327(f84(a834),x68452),x68451))) % 153.71/153.54 [6846]~P66(x68461)+P134(f327(f327(f228(x68461),f2(x68461)),x68462))+~P134(f327(f327(f228(x68461),f2(x68461)),f327(f327(f84(x68461),x68462),x68462))) % 153.71/153.54 [6847]~P66(x68471)+P134(f327(f327(f227(x68471),f2(x68471)),x68472))+~P134(f327(f327(f227(x68471),f2(x68471)),f327(f327(f84(x68471),x68472),x68472))) % 153.71/153.54 [6904]~P134(f327(f66(x69041),x69042))+P134(f327(f66(x69041),f234(f841(x69041,a831))))+~P134(f327(f66(x69041),f327(f83(f841(x69041,a831)),x69042))) % 153.71/153.54 [6966]P134(f327(f327(f227(a1),x69661),f2(a1)))+~P134(f327(f327(f228(a1),x69662),f2(a1)))+~P134(f327(f327(f227(a1),f2(a1)),f327(f327(f44(a1),x69661),x69662))) % 153.71/153.54 [6972]~P134(f327(f327(f228(a1),f2(a1)),x69721))+P134(f327(f327(f227(a1),x69721),x69722))+~P134(f327(f327(f228(a1),f2(a1)),f327(f327(f44(a1),x69722),x69721))) % 153.71/153.54 [6973]~P134(f327(f327(f227(a1),f2(a1)),x69732))+P134(f327(f327(f227(a1),x69731),x69732))+~P134(f327(f327(f228(a1),f2(a1)),f327(f327(f44(a1),x69732),x69731))) % 153.71/153.54 [7007]P134(f327(f327(f228(a1),f2(a1)),x70071))+~P134(f327(f327(f227(a1),f2(a1)),x70072))+~P134(f327(f327(f228(a1),f2(a1)),f327(f327(f44(a1),x70072),x70071))) % 153.71/153.54 [7008]P134(f327(f327(f227(a1),f2(a1)),x70081))+~P134(f327(f327(f228(a1),f2(a1)),x70082))+~P134(f327(f327(f227(a1),f2(a1)),f327(f327(f44(a1),x70081),x70082))) % 153.71/153.54 [7474]~P134(f327(f66(x74742),f234(f841(x74742,a831))))+~P134(f327(f66(x74741),f234(f841(x74741,a831))))+P134(f327(f66(f842(x74741,x74742)),f234(f841(f842(x74741,x74742),a831)))) % 153.71/153.54 [7475]~P134(f327(f66(x74752),f234(f841(x74752,a831))))+~P134(f327(f66(x74751),f234(f841(x74751,a831))))+P134(f327(f66(f840(x74751,x74752)),f234(f841(f840(x74751,x74752),a831)))) % 153.71/153.54 [7546]~P134(f327(f327(f228(a834),f327(a111,f2(a834))),x75461))+~P134(f327(f327(f228(a834),f327(a111,f2(a834))),x75462))+P134(f327(f327(f228(a834),x75461),f327(f327(f85(a834),x75462),x75461))) % 153.71/153.54 [7547]~P134(f327(f327(f228(a834),f327(a111,f2(a834))),x75471))+~P134(f327(f327(f228(a834),f327(a111,f2(a834))),x75472))+P134(f327(f327(f228(a834),x75471),f327(f327(f85(a834),x75471),x75472))) % 153.71/153.54 [7582]E(f327(f43(x75821),f234(f841(x75821,a831))),f327(a111,f2(a834)))+P134(f327(f66(x75822),f234(f841(x75822,a831))))+~P134(f327(f66(f841(x75822,x75821)),f234(f841(f841(x75822,x75821),a831)))) % 153.71/153.54 [7705]~P134(f327(f327(f228(a834),f327(a111,f2(a834))),x77052))+~P134(f327(f327(f228(a834),f327(a111,f2(a834))),x77051))+P134(f327(f327(f228(a834),f327(a111,f2(a834))),f327(f327(f85(a834),x77051),x77052))) % 153.71/153.54 [7706]~P134(f327(f327(f227(a834),f327(a111,f2(a834))),x77061))+~P134(f327(f327(f227(a834),f327(a111,f2(a834))),x77062))+P134(f327(f327(f227(a834),f327(a111,f2(a834))),f327(f327(f85(a834),x77061),x77062))) % 153.71/153.54 [8369]E(x83691,f112(x83692))+~P134(f327(f124(x83692),x83691))+E(f158(x83692,f327(f327(f10(a831,a831,x83692),a323),f327(f327(f9(x83692,x83692,a831),a324),f130(x83692,x83691))),x83691),f113(x83692,x83691)) % 153.71/153.54 [8464]~P35(x84642)+~P35(x84641)+E(f327(f298(a834,a1,f99(a1)),f327(f327(f100(f841(a834,a831)),f327(f298(a1,a834,a104),x84641)),f327(f298(a1,a834,a104),x84642))),f327(f327(f100(f841(a1,a831)),x84641),x84642)) % 153.71/153.54 [8465]~P35(x84652)+~P35(x84651)+E(f327(f298(a834,a1,f99(a1)),f327(f327(f101(f841(a834,a831)),f327(f298(a1,a834,a104),x84651)),f327(f298(a1,a834,a104),x84652))),f327(f327(f101(f841(a1,a831)),x84651),x84652)) % 153.71/153.54 [9048]~P85(x90481)+~E(f327(f103(x90481),x90482),f82(x90481))+P30(x90481,f327(f103(x90481),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f83(a1),x90482)))) % 153.71/153.54 [9262]~P85(x92621)+E(f327(f103(x92621),x92622),f82(x92621))+~P30(x92621,f327(f103(x92621),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f83(a1),x92622)))) % 153.71/153.54 [9678]~P96(x96782)+P50(a834,x96782,f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x96781)+P134(f327(f327(f274(a834),f819(x96781,x96782)),f820(x96781,x96782))) % 153.71/153.54 [9681]~P96(x96811)+P50(a834,x96811,f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x96812)+~P134(f327(f327(f274(a834),f820(x96812,x96811)),f819(x96812,x96811))) % 153.71/153.54 [9682]~P96(x96821)+P50(a834,x96821,f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x96822)+~P134(f327(f327(f228(x96821),f327(x96822,f819(x96822,x96821))),f327(x96822,f820(x96822,x96821)))) % 153.71/153.54 [9772]~P96(x97721)+P48(a834,x97721,f274(a834),x97722)+~P50(a834,x97721,f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x97722) % 153.71/153.54 [9962]E(x99621,f2(a1))+E(x99622,f2(a1))+E(f327(f247(a1,a1,a1,a1,f39(a1),f327(f85(a1),f86(a1,x99622))),f327(f327(f327(f95(f840(a1,a1)),f327(f327(a324,f86(a1,x99621)),f86(a1,x99622))),f61(x99621,x99622)),f327(f327(f246(a1,a1,f840(a1,a1)),f327(f327(f20(a1,f841(a1,f840(a1,a1)),f841(a1,f840(a1,a1))),f327(f327(f10(f841(a1,f841(f840(a1,a1),f840(a1,a1))),f841(f841(a1,f840(a1,a1)),f841(a1,f840(a1,a1))),a1),f20(a1,f840(a1,a1),f840(a1,a1))),f327(f327(f10(f840(a1,a1),f841(a1,f841(f840(a1,a1),f840(a1,a1))),a1),f327(f9(a1,f840(a1,a1),f841(f840(a1,a1),f840(a1,a1))),f327(f327(f10(a831,f841(f840(a1,a1),f841(f840(a1,a1),f840(a1,a1))),a1),f95(f840(a1,a1))),f327(f327(f9(a1,a1,a831),a324),f2(a1))))),f327(f327(f9(a1,a1,f840(a1,a1)),f327(f327(f10(a1,f841(a1,f840(a1,a1)),a1),f236(a1,a1)),f83(a1))),f2(a1))))),f327(f327(f9(a1,f841(a1,a1),f841(a1,f840(a1,a1))),f327(f327(f10(f841(a1,f840(a1,a1)),f841(f841(a1,a1),f841(a1,f840(a1,a1))),a1),f10(a1,f840(a1,a1),a1)),f327(f327(f10(a1,f841(a1,f840(a1,a1)),a1),f236(a1,a1)),f327(f327(f9(a1,a1,a1),f327(f327(f10(a1,f841(a1,a1),a1),f3(a1)),f83(a1))),f82(a1))))),f327(f3(a1),f327(f79(a1),x99622))))),f61(x99621,x99622)))),f54(x99621,x99622)) % 153.71/153.54 [9963]E(x99631,f2(a1))+E(x99632,f2(a1))+E(f327(f247(a1,a1,a1,a1,f39(a1),f327(f85(a1),f86(a1,x99632))),f327(f327(f327(f95(f840(a1,a1)),f327(f327(a326,f327(f327(a325,f327(f327(f228(a1),f2(a1)),x99632)),f327(f327(f227(a1),f2(a1)),x99631))),f327(f327(a325,f327(f327(f228(a1),x99632),f2(a1))),f327(f327(f228(a1),x99631),f2(a1))))),f61(x99631,x99632)),f327(f327(f246(a1,a1,f840(a1,a1)),f327(f327(f20(a1,f841(a1,f840(a1,a1)),f841(a1,f840(a1,a1))),f327(f327(f10(f841(a1,f841(f840(a1,a1),f840(a1,a1))),f841(f841(a1,f840(a1,a1)),f841(a1,f840(a1,a1))),a1),f20(a1,f840(a1,a1),f840(a1,a1))),f327(f327(f10(f840(a1,a1),f841(a1,f841(f840(a1,a1),f840(a1,a1))),a1),f327(f9(a1,f840(a1,a1),f841(f840(a1,a1),f840(a1,a1))),f327(f327(f10(a831,f841(f840(a1,a1),f841(f840(a1,a1),f840(a1,a1))),a1),f95(f840(a1,a1))),f327(f327(f9(a1,a1,a831),a324),f2(a1))))),f327(f327(f9(a1,a1,f840(a1,a1)),f327(f327(f10(a1,f841(a1,f840(a1,a1)),a1),f236(a1,a1)),f83(a1))),f2(a1))))),f327(f327(f9(a1,f841(a1,a1),f841(a1,f840(a1,a1))),f327(f327(f10(f841(a1,f840(a1,a1)),f841(f841(a1,a1),f841(a1,f840(a1,a1))),a1),f10(a1,f840(a1,a1),a1)),f327(f327(f10(a1,f841(a1,f840(a1,a1)),a1),f236(a1,a1)),f327(f327(f9(a1,a1,a1),f327(f327(f10(a1,f841(a1,a1),a1),f3(a1)),f83(a1))),f82(a1))))),f327(f3(a1),f327(f79(a1),x99632))))),f61(x99631,x99632)))),f54(x99631,x99632)) % 153.71/153.54 [5539]~P107(x55391)+~P85(x55391)+E(f327(f79(x55391),f327(f327(f237(x55391),f327(f103(x55391),a96)),x55392)),f82(x55391)) % 153.71/153.54 [6054]~P130(x60541)+~P134(f327(f327(f228(a1),x60542),f2(a1)))+E(f327(f83(x60541),f327(f99(x60541),f327(a104,f327(f83(a1),x60542)))),f327(f102(x60541),x60542)) % 153.71/153.54 [6267]P134(f327(f327(f227(a98),x62671),f82(a98)))+E(f327(f327(f84(a98),f82(a98)),f262(x62671,f327(f327(f44(a98),x62672),x62671))),f262(x62671,x62672))+P134(f327(f327(f228(a98),x62672),x62671)) % 153.71/153.54 [6339]E(x63391,f2(a1))+~E(f327(f79(a1),x63392),f82(a1))+P134(f327(f327(f274(a1),f327(f327(f85(a1),x63391),x63392)),x63391)) % 153.71/153.54 [6757]~E(x67572,f82(a834))+~P134(f327(f327(f228(a834),f2(a834)),x67571))+P134(f327(f327(f274(a834),f327(f327(f85(a834),x67571),x67572)),x67571)) % 153.71/153.54 [6758]~E(x67581,f82(a834))+~P134(f327(f327(f228(a834),f2(a834)),x67582))+P134(f327(f327(f274(a834),f327(f327(f85(a834),x67581),x67582)),x67582)) % 153.71/153.54 [6894]~P84(x68941)+~P134(f327(f327(f329(x68941),x68942),f109(x68941)))+~E(f327(f327(f84(x68941),f327(f327(f84(x68941),f82(x68941)),x68942)),x68942),f2(x68941)) % 153.71/153.54 [7009]~P134(f327(f327(f228(a1),x70091),f2(a1)))+~P134(f327(f327(f227(a1),x70092),f2(a1)))+E(f327(f235(a1,a1),f327(a59,f55(f327(f83(a1),x70091),f327(f83(a1),x70092)))),f327(f327(f44(a1),x70091),x70092)) % 153.71/153.54 [7025]~P134(f327(f327(f228(a1),x70251),f2(a1)))+~P134(f327(f327(f227(a1),x70252),f2(a1)))+E(f327(f245(a1,a1),f327(a59,f55(f327(f83(a1),x70251),f327(f83(a1),x70252)))),f53(a1,x70251,x70252)) % 153.71/153.54 [7033]~P134(f327(f327(f228(a1),x70332),f2(a1)))+E(f327(f235(a1,a1),f327(a59,f58(f327(f83(a1),x70331),f327(f83(a1),x70332)))),f327(f327(f44(a1),x70331),x70332))+~P134(f327(f327(f228(a1),f2(a1)),x70331)) % 153.71/153.54 [7037]E(x70371,f2(a1))+E(f327(f79(a1),x70372),f82(a1))+~P134(f327(f327(f274(a1),f327(f327(f85(a1),x70371),x70372)),x70371)) % 153.71/153.54 [7052]~P134(f327(f327(f228(a1),x70522),f2(a1)))+E(f327(f245(a1,a1),f327(a59,f58(f327(f83(a1),x70521),f327(f83(a1),x70522)))),f53(a1,x70521,x70522))+~P134(f327(f327(f228(a1),f2(a1)),x70521)) % 153.71/153.54 [7103]E(f327(f327(f44(a1),f327(f327(f237(a1),x71031),x71032)),x71031),f327(f327(f237(a1),x71031),f327(f327(f3(a834),x71032),f327(a111,f2(a834)))))+~P134(f327(f327(f228(a834),f2(a834)),x71032))+~P134(f327(f327(f228(a1),f2(a1)),x71031)) % 153.71/153.54 [7210]~P134(f327(f327(f228(a834),f2(a834)),x72101))+~P134(f327(f327(f228(a834),f82(a834)),x72102))+P134(f327(f327(f228(a834),f327(f327(f44(a834),x72101),x72102)),x72101)) % 153.71/153.54 [7211]~P134(f327(f327(f228(a834),f2(a834)),x72111))+~P134(f327(f327(f228(a834),f2(a834)),x72112))+P134(f327(f327(f228(a834),f327(f327(f3(a834),x72111),x72112)),x72111)) % 153.71/153.54 [7212]~P134(f327(f327(f228(a1),f2(a1)),x72121))+~P134(f327(f327(f228(a1),f82(a1)),x72122))+P134(f327(f327(f228(a1),f327(f327(f44(a1),x72121),x72122)),x72121)) % 153.71/153.54 [7366]E(x73661,f2(a834))+~E(x73662,f2(a1))+~P134(f327(f327(f228(a1),f2(a1)),f327(f327(f237(a1),f327(f79(a1),x73662)),x73661))) % 153.71/153.54 [7403]E(x74031,f82(a834))+~P134(f327(f327(f228(a834),f2(a834)),x74032))+~P134(f327(f327(f274(a834),f327(f327(f85(a834),x74032),x74031)),x74032)) % 153.71/153.54 [7404]E(x74041,f82(a834))+~P134(f327(f327(f228(a834),f2(a834)),x74042))+~P134(f327(f327(f274(a834),f327(f327(f85(a834),x74041),x74042)),x74042)) % 153.71/153.54 [7789]~E(x77892,f112(f835(x77891)))+E(f327(f177(f835(f835(x77891))),f160(x77891,x77892)),f2(a834))+~P18(a834,f327(f151(a834),f327(f327(f138(f835(x77891),a834),f177(f835(x77891))),x77892))) % 153.71/153.54 [8031]P134(f327(x80311,x80312))+~P134(f327(x80311,f327(a106,f553(x80311,x80312))))+~P134(f327(f327(f329(f841(f840(a834,a834),a831)),x80312),a97)) % 153.71/153.54 [8046]E(x80461,f112(f835(x80462)))+E(f327(f177(f835(x80462)),f327(f327(f146(f835(x80462)),x80461),f2(a834))),f327(f177(f835(f835(x80462))),f160(x80462,x80461)))+~P18(a834,f327(f151(a834),f327(f327(f138(f835(x80462),a834),f177(f835(x80462))),x80461))) % 153.71/153.54 [8704]~P134(f327(f66(x87041),f327(f251(x87041),x87042)))+~P134(f327(f66(x87041),f234(f841(x87041,a831))))+P134(f327(f66(x87041),f327(f251(x87041),f327(f327(f10(a831,a831,x87041),a323),x87042)))) % 153.71/153.54 [8755]E(f327(f327(f236(a834,a834),f327(a111,f327(f327(f44(a834),f327(f327(f3(a834),x87551),x87552)),x87552))),f53(a834,f327(f327(f3(a834),x87551),x87552),x87552)),f89(f840(a834,a834),f56(x87551,x87552)))+~P134(f327(f327(f228(a834),f2(a834)),x87552))+~P134(f327(f327(f227(a834),x87552),x87551)) % 153.71/153.54 [9015]~P134(f327(f66(x90151),f327(f251(x90151),x90152)))+P134(f327(f66(x90151),f234(f841(x90151,a831))))+~P134(f327(f66(x90151),f327(f251(x90151),f327(f327(f10(a831,a831,x90151),a323),x90152)))) % 153.71/153.54 [9675]P29(x96751,x96752)+~P33(x96751,f327(f235(f841(f840(x96751,x96751),a831),f841(f840(x96751,x96751),a831)),x96752))+~P134(f327(f327(f227(f841(f840(x96751,x96751),a831)),f327(f327(f276(x96751,x96751,x96751),f327(f235(f841(f840(x96751,x96751),a831),f841(f840(x96751,x96751),a831)),x96752)),f327(f245(f841(f840(x96751,x96751),a831),f841(f840(x96751,x96751),a831)),x96752))),f327(f235(f841(f840(x96751,x96751),a831),f841(f840(x96751,x96751),a831)),x96752))) % 153.71/153.54 [9776]~E(f284(a834,f274(a834),f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x97762,x97761),f176(f841(a834,a831)))+~P134(f327(f327(f274(a834),x97762),x97761))+P134(f327(f327(f274(a834),x97761),x97762)) % 153.71/153.54 [9777]~E(f287(a834,f274(a834),f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x97772,x97771),f176(f841(a834,a831)))+~P134(f327(f327(f274(a834),x97772),x97771))+P134(f327(f327(f274(a834),x97771),x97772)) % 153.71/153.54 [7128]~P134(f327(f327(f228(a834),f2(a834)),x71282))+P134(f327(f327(f228(a834),x71281),x71282))+E(f327(a111,f327(f327(f44(a834),f327(f327(f3(a834),x71281),x71282)),x71282)),f327(f327(f44(a834),x71281),x71282)) % 153.71/153.54 [7284]~P134(f327(f327(f228(a834),f2(a834)),x72842))+~P134(f327(f327(f227(a834),x72842),x72841))+E(f327(a111,f327(f327(f44(a834),f327(f327(f3(a834),x72841),x72842)),x72842)),f327(f327(f44(a834),x72841),x72842)) % 153.71/153.54 [8244]~P85(x82441)+~P84(x82441)+~P30(x82441,f327(f103(x82441),f327(f327(f3(a1),f327(f327(f84(a1),x82442),x82442)),a96))) % 153.71/153.54 [8926]E(x89261,f2(a834))+E(f327(f327(f246(a834,a834,f840(a834,a834)),f327(f327(f10(a834,f841(a834,f840(a834,a834)),a834),f236(a834,a834)),a111)),f89(f840(a834,a834),f56(f327(f327(f3(a834),x89262),x89261),x89261))),f89(f840(a834,a834),f56(x89262,x89261)))+P134(f327(f327(f228(a834),x89262),x89261)) % 153.71/153.54 [9321]P134(f327(x93212,f681(x93212,x93211)))+P134(f327(x93211,f681(x93212,x93211)))+E(f327(f251(a1),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f227(a1),f2(a1)))),x93211)),f327(f251(a1),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f227(a1),f2(a1)))),x93212))) % 153.71/153.54 [9325]~P134(f327(x93252,f681(x93252,x93251)))+~P134(f327(x93251,f681(x93252,x93251)))+E(f327(f251(a1),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f227(a1),f2(a1)))),x93251)),f327(f251(a1),f327(f327(f20(a1,a831,a831),f327(f327(f10(a831,f841(a831,a831),a1),a325),f327(f227(a1),f2(a1)))),x93252))) % 153.71/153.54 [9854]~P134(f327(f327(f274(a834),x98542),x98541))+P134(f327(f327(f274(a834),x98541),x98542))+P134(f327(f327(f329(a834),x98541),f282(a834,f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x98542))) % 153.71/153.54 [9855]~P134(f327(f327(f274(a834),x98552),x98551))+P134(f327(f327(f274(a834),x98551),x98552))+P134(f327(f327(f329(a834),x98552),f285(a834,f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x98551))) % 153.71/153.54 [7504]~P85(x75041)+~P59(x75041)+E(f327(f327(f278(x75041),x75042),f327(f103(x75041),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))),x75042) % 153.71/153.54 [9047]~P85(x90471)+~E(f327(f103(x90471),x90472),f82(x90471))+P30(x90471,f327(f103(x90471),f327(f327(f84(a1),x90472),f327(f83(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))) % 153.71/153.54 [9203]~P129(x92031)+~E(x92032,f2(x92031))+E(f327(f327(f237(x92031),x92032),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f2(x92031)) % 153.71/153.54 [9204]~P129(x92041)+~E(x92042,f82(x92041))+E(f327(f327(f237(x92041),x92042),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f82(x92041)) % 153.71/153.54 [9217]~P129(x92171)+~E(x92172,f327(f83(x92171),f82(x92171)))+E(f327(f327(f237(x92171),x92172),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f82(x92171)) % 153.71/153.54 [9263]~P85(x92631)+E(f327(f103(x92631),x92632),f82(x92631))+~P30(x92631,f327(f103(x92631),f327(f327(f84(a1),x92632),f327(f83(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))) % 153.71/153.54 [9617]~P107(x96172)+E(x96171,f2(x96172))+P134(f327(f327(f228(x96172),f2(x96172)),f327(f327(f237(x96172),x96171),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))) % 153.71/153.54 [9674]~P107(x96742)+~E(x96741,f2(x96742))+~P134(f327(f327(f228(x96742),f2(x96742)),f327(f327(f237(x96742),x96741),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))) % 153.71/153.54 [9713]P134(f327(f327(f227(a1),x97131),f2(a1)))+P134(f327(f327(f228(a1),x97132),x97131))+E(f327(f51(x97131),f55(x97132,f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x97131))),f55(x97132,x97131)) % 153.71/153.54 [9714]~P134(f327(f327(f228(a1),f2(a1)),x97141))+P134(f327(f327(f228(a1),x97142),x97141))+E(f327(f51(x97141),f55(x97142,f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x97141))),f55(x97142,x97141)) % 153.71/153.54 [9715]P134(f327(f327(f227(a1),x97151),f2(a1)))+P134(f327(f327(f227(a1),f2(a1)),f327(f327(f84(a1),x97152),x97151)))+E(f327(f51(x97151),f58(x97152,f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x97151))),f58(x97152,x97151)) % 153.71/153.54 [9716]~P134(f327(f327(f228(a1),f2(a1)),x97161))+P134(f327(f327(f227(a1),f2(a1)),f327(f327(f84(a1),x97162),x97161)))+E(f327(f51(x97161),f58(x97162,f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x97161))),f58(x97162,x97161)) % 153.71/153.54 [9717]~P1(x97171)+~P134(f327(f327(f227(a1),f2(a1)),x97172))+E(f327(f99(x97171),f327(a104,f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x97172))),f327(f327(f84(x97171),f327(f99(x97171),f327(a104,x97172))),f327(f99(x97171),f327(a104,x97172)))) % 153.71/153.54 [4883]~P138(x48831,x48833,x48832)+~E(x48833,f2(a1))+P134(f327(x48831,x48832)) % 153.71/153.54 [5006]~P97(x50061)+~P18(x50061,x50063)+P18(x50061,f152(x50061,x50062,x50063)) % 153.71/153.54 [5007]~P97(x50071)+~P18(x50071,x50073)+P18(x50071,f158(x50071,x50072,x50073)) % 153.71/153.54 [5786]~P36(f35(x57863,x57861),x57862,x57862)+P36(x57861,x57862,f404(x57862,x57861,x57863))+~P134(f327(x57863,x57862)) % 153.71/153.54 [5871]P36(f35(x58711,x58712),f404(x58713,x58712,x58711),x58713)+~P36(f35(x58711,x58712),x58713,x58713)+~P134(f327(x58711,x58713)) % 153.71/153.54 [4587]~P67(x45872)+~E(x45873,f327(f83(x45872),x45871))+E(x45871,f327(f83(x45872),x45873)) % 153.71/153.54 [4589]~P67(x45891)+~E(f327(f83(x45891),x45893),x45892)+E(f327(f83(x45891),x45892),x45893) % 153.71/153.54 [4662]~P83(x46623)+E(x46621,x46622)+~E(f327(f99(x46623),x46621),f327(f99(x46623),x46622)) % 153.71/153.54 [4663]~P84(x46633)+E(x46631,x46632)+~E(f327(f102(x46633),x46631),f327(f102(x46633),x46632)) % 153.71/153.54 [4664]~P67(x46643)+E(x46641,x46642)+~E(f327(f83(x46643),x46641),f327(f83(x46643),x46642)) % 153.71/153.54 [4665]~P87(x46653)+E(x46651,x46652)+~E(f327(f83(x46653),x46651),f327(f83(x46653),x46652)) % 153.71/153.54 [4666]~P97(x46663)+E(x46661,x46662)+~E(f327(f252(x46663),x46661),f327(f252(x46663),x46662)) % 153.71/153.54 [4667]~P97(x46673)+E(x46671,x46672)+~E(f327(f291(x46673),x46671),f327(f291(x46673),x46672)) % 153.71/153.54 [4668]~P97(x46683)+E(x46681,x46682)+~E(f327(f288(x46683),x46681),f327(f288(x46683),x46682)) % 153.71/153.54 [4669]~P97(x46693)+E(x46691,x46692)+~E(f327(f253(x46693),x46691),f327(f253(x46693),x46692)) % 153.71/153.54 [4906]~P139(x49061,x49062,x49063)+~E(x49062,f2(a1))+P134(f327(x49061,f2(a1))) % 153.71/153.54 [4945]~E(x49451,f2(a834))+E(f390(x49451,x49452,x49453),f176(f841(x49453,a831)))+~E(f327(f43(x49453),x49452),f327(a111,x49451)) % 153.71/153.54 [5091]~E(x50912,f2(a834))+E(f327(f235(a834,a834),x50911),f2(a834))+~P134(f327(f56(x50913,x50912),x50911)) % 153.71/153.54 [5135]P134(f327(x51351,x51352))+~E(x51353,f327(f99(a1),x51352))+~P134(f327(x51351,f327(a104,x51353))) % 153.71/153.54 [5602]~E(x56023,f2(a834))+~P134(f327(x56021,x56022))+P134(f327(x56021,f53(a834,x56022,x56023))) % 153.71/153.54 [5756]~P134(f327(a27,x57563))+~P134(f327(a27,x57562))+P134(f327(a27,f33(x57561,x57562,x57563))) % 153.71/153.54 [6036]~E(x60363,f2(a834))+P134(f327(x60361,x60362))+~P134(f327(x60361,f53(a834,x60362,x60363))) % 153.71/153.54 [6741]E(x67411,f2(a834))+~P134(f327(x67412,f782(x67411,x67413,x67412)))+P134(f327(x67412,f53(a834,x67413,x67411))) % 153.71/153.54 [6851]~P9(x68511)+~P134(f327(f327(f227(x68511),x68512),f640(x68513,x68512,x68511)))+P134(f327(f327(f227(x68511),x68512),f46(x68511,x68513))) % 153.71/153.54 [6853]~P134(f327(x68531,x68532))+~P134(f327(x68531,f782(x68533,x68532,x68531)))+P134(f327(x68531,f53(a834,x68532,x68533))) % 153.71/153.54 [6959]E(x69591,f112(x69592))+E(f327(f327(f136(x69592),f734(x69593,x69591,x69592)),f739(x69593,x69591,x69592)),x69591)+~P134(f327(f327(f329(f835(x69592)),x69591),f144(x69592,x69593))) % 153.71/153.54 [6996]~P130(x69961)+~P134(f327(f327(f329(x69961),x69962),f109(x69961)))+P134(f327(f327(f329(x69961),f327(f327(f237(x69961),x69962),x69963)),f109(x69961))) % 153.71/153.54 [7335]P33(x73351,x73352)+~P134(f327(f327(f329(x73351),x73353),f667(x73352,x73351)))+P134(f327(f327(f329(x73351),f680(x73352,x73351,x73353)),f667(x73352,x73351))) % 153.71/153.54 [7608]E(x76081,f112(x76082))+~P134(f327(f327(f329(f835(x76082)),x76081),f144(x76082,x76083)))+P134(f327(f327(f329(f835(x76082)),f739(x76083,x76081,x76082)),f144(x76082,x76083))) % 153.71/153.54 [7659]E(x76591,f2(a834))+E(f327(f327(f84(a834),f327(f327(f85(a834),x76591),f784(x76591,x76592,x76593))),f782(x76591,x76592,x76593)),x76592)+P134(f327(x76593,f53(a834,x76592,x76591))) % 153.71/153.54 [7700]~P134(f327(x77003,x77002))+E(f327(f327(f84(a834),f327(f327(f85(a834),x77001),f784(x77001,x77002,x77003))),f782(x77001,x77002,x77003)),x77002)+P134(f327(x77003,f53(a834,x77002,x77001))) % 153.71/153.54 [7844]P134(f327(f327(f228(a1),x78441),f777(x78442,x78443,x78441)))+P134(f327(f327(x78443,f327(f327(f44(a1),x78442),x78441)),f53(a1,x78442,x78441)))+~P134(f327(f327(f228(a1),x78441),f2(a1))) % 153.71/153.54 [8103]P134(f327(f327(x81032,f327(f327(f44(a1),x81031),x81033)),f53(a1,x81031,x81033)))+~P134(f327(f327(f228(a1),x81033),f2(a1)))+P134(f327(f327(f227(a1),f777(x81031,x81032,x81033)),f2(a1))) % 153.71/153.54 [8280]E(f327(f327(f84(a1),f327(f327(f85(a1),x82801),f774(x82802,x82803,x82801))),f777(x82802,x82803,x82801)),x82802)+P134(f327(f327(x82803,f327(f327(f44(a1),x82802),x82801)),f53(a1,x82802,x82801)))+~P134(f327(f327(f228(a1),x82801),f2(a1))) % 153.71/153.54 [8502]~P134(f327(f327(x85021,f774(x85022,x85021,x85023)),f777(x85022,x85021,x85023)))+P134(f327(f327(x85021,f327(f327(f44(a1),x85022),x85023)),f53(a1,x85022,x85023)))+~P134(f327(f327(f228(a1),x85023),f2(a1))) % 153.71/153.54 [8714]~P97(x87141)+~P18(x87141,x87143)+P18(x87141,f135(x87141,x87141,f7(x87141),x87142,x87143)) % 153.71/153.54 [9154]~P115(x91542)+E(x91541,f2(x91542))+~P134(f327(f327(f227(x91542),f327(f327(f84(x91542),f327(f327(f85(x91542),x91543),x91543)),f327(f327(f85(x91542),x91541),x91541))),f2(x91542))) % 153.71/153.54 [9155]~P115(x91552)+E(x91551,f2(x91552))+~P134(f327(f327(f227(x91552),f327(f327(f84(x91552),f327(f327(f85(x91552),x91551),x91551)),f327(f327(f85(x91552),x91553),x91553))),f2(x91552))) % 153.71/153.54 [9908]~P107(x99081)+~P134(f327(f327(f228(x99081),x99082),f2(x99081)))+P134(f327(f327(f228(x99081),f327(f327(f237(x99081),x99082),f327(a111,f327(f327(f85(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x99083)))),f2(x99081))) % 153.71/153.54 [9918]~P107(x99182)+E(x99181,f2(x99182))+~P134(f327(f327(f227(x99182),f327(f327(f84(x99182),f327(f327(f237(x99182),x99183),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x99182),x99181),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))),f2(x99182))) % 153.71/153.54 [9919]~P107(x99192)+E(x99191,f2(x99192))+~P134(f327(f327(f227(x99192),f327(f327(f84(x99192),f327(f327(f237(x99192),x99191),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x99192),x99193),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))),f2(x99192))) % 153.71/153.54 [4619]~E(x46192,x46193)+~P67(x46191)+E(f327(f327(f3(x46191),x46192),x46193),f2(x46191)) % 153.71/153.54 [4620]~E(x46202,x46203)+~P6(x46201)+E(f327(f327(f3(x46201),x46202),x46203),f2(x46201)) % 153.71/153.54 [4633]~P135(x46331)+~E(x46333,f2(x46331))+E(f327(f327(f84(x46331),x46332),x46333),x46332) % 153.71/153.54 [4649]~P131(x46491)+~E(x46493,f2(x46491))+E(f327(f327(f85(x46491),x46492),x46493),f2(x46491)) % 153.71/153.54 [4650]~P131(x46501)+~E(x46502,f2(x46501))+E(f327(f327(f85(x46501),x46502),x46503),f2(x46501)) % 153.71/153.54 [4671]~E(x46713,f112(x46711))+~E(x46712,f112(x46711))+E(f327(f327(f122(x46711),x46712),x46713),f112(x46711)) % 153.71/153.54 [4757]~P135(x47572)+E(x47571,f2(x47572))+~E(f327(f327(f84(x47572),x47573),x47571),x47573) % 153.71/153.54 [4758]~P67(x47581)+~E(x47582,f327(f83(x47581),x47583))+E(f327(f327(f84(x47581),x47582),x47583),f2(x47581)) % 153.71/153.54 [4765]E(x47651,f112(x47652))+E(x47653,f2(a834))+~E(f327(f327(f155(x47652),x47653),x47651),f112(x47652)) % 153.71/153.54 [4775]~P67(x47753)+E(x47751,x47752)+~E(f327(f327(f3(x47753),x47751),x47752),f2(x47753)) % 153.71/153.54 [4776]~P6(x47763)+E(x47761,x47762)+~E(f327(f327(f3(x47763),x47761),x47762),f2(x47763)) % 153.71/153.54 [4785]~P129(x47852)+E(x47851,f2(x47852))+~E(f327(f327(f237(x47852),x47851),x47853),f2(x47852)) % 153.71/153.54 [4786]~P90(x47862)+E(x47861,f234(x47862))+~E(f327(f327(f101(x47862),x47863),x47861),f234(x47862)) % 153.71/153.54 [4787]~P90(x47872)+E(x47871,f234(x47872))+~E(f327(f327(f101(x47872),x47871),x47873),f234(x47872)) % 153.71/153.54 [4788]~P91(x47882)+E(x47881,f176(x47882))+~E(f327(f327(f100(x47882),x47883),x47881),f176(x47882)) % 153.71/153.54 [4789]~P91(x47892)+E(x47891,f176(x47892))+~E(f327(f327(f100(x47892),x47891),x47893),f176(x47892)) % 153.71/153.54 [4857]~P67(x48572)+E(x48571,f327(f83(x48572),x48573))+~E(f327(f327(f84(x48572),x48571),x48573),f2(x48572)) % 153.71/153.54 [4858]~P67(x48581)+E(f327(f83(x48581),x48582),x48583)+~E(f327(f327(f84(x48581),x48582),x48583),f2(x48581)) % 153.71/153.54 [4861]~E(x48612,x48613)+~P96(x48611)+P134(f327(f327(f227(x48611),x48612),x48613)) % 153.71/153.54 [4862]~E(x48622,x48623)+~P100(x48621)+P134(f327(f327(f227(x48621),x48622),x48623)) % 153.71/153.54 [4959]~P108(x49591)+~E(x49592,f327(f83(x49591),x49593))+E(f327(f327(f85(x49591),x49592),x49592),f327(f327(f85(x49591),x49593),x49593)) % 153.71/153.54 [4967]~P97(x49671)+~P18(x49671,x49673)+P18(x49671,f327(f327(f155(x49671),x49672),x49673)) % 153.71/153.54 [4968]~P97(x49681)+~P18(x49681,x49683)+P18(x49681,f327(f327(f125(x49681),x49682),x49683)) % 153.71/153.54 [5004]E(x50041,x50042)+E(x50043,f2(a834))+~E(f327(f327(f85(a834),x50043),x50041),f327(f327(f85(a834),x50043),x50042)) % 153.71/153.54 [5005]E(x50051,x50052)+E(x50053,f2(a834))+~E(f327(f327(f85(a834),x50051),x50053),f327(f327(f85(a834),x50052),x50053)) % 153.71/153.54 [5083]~E(x50832,x50833)+~P96(x50831)+E(f290(x50831,x50832,x50833),f327(f327(f297(x50831),x50832),f176(f841(x50831,a831)))) % 153.71/153.54 [5123]~P107(x51231)+~E(f327(f79(x51231),x51232),f327(f79(x51231),x51233))+P134(f327(f327(f274(x51231),x51232),x51233)) % 153.71/153.54 [5132]~E(x51321,x51322)+~P96(x51323)+~P134(f327(f327(f228(x51323),x51321),x51322)) % 153.71/153.54 [5133]~E(x51331,x51332)+~P97(x51333)+~P134(f327(f327(f228(x51333),x51331),x51332)) % 153.71/153.54 [5140]~P96(x51401)+E(f327(f289(x51401,x51402),x51403),f176(f841(x51401,a831)))+P134(f327(f327(f228(x51401),x51402),x51403)) % 153.71/153.54 [5186]~P96(x51861)+E(f290(x51861,x51862,x51863),f176(f841(x51861,a831)))+P134(f327(f327(f227(x51861),x51862),x51863)) % 153.71/153.54 [5187]~P96(x51871)+E(f292(x51871,x51872,x51873),f176(f841(x51871,a831)))+P134(f327(f327(f228(x51871),x51872),x51873)) % 153.71/153.54 [5188]~P96(x51881)+E(f176(f841(x51881,a831)),f290(x51881,x51882,x51883))+P134(f327(f327(f227(x51881),x51882),x51883)) % 153.71/153.54 [5189]~P96(x51891)+E(f176(f841(x51891,a831)),f292(x51891,x51892,x51893))+P134(f327(f327(f228(x51891),x51892),x51893)) % 153.71/153.54 [5197]~P97(x51971)+~E(f327(f327(f231(x51971),x51972),x51973),x51972)+P134(f327(f327(f227(x51971),x51972),x51973)) % 153.71/153.54 [5198]~P97(x51981)+~E(f327(f327(f175(x51981),x51982),x51983),x51983)+P134(f327(f327(f227(x51981),x51982),x51983)) % 153.71/153.54 [5199]~P94(x51991)+~E(f327(f327(f100(x51991),x51992),x51993),x51993)+P134(f327(f327(f227(x51991),x51992),x51993)) % 153.71/153.54 [5200]~P95(x52001)+~E(f327(f327(f101(x52001),x52002),x52003),x52002)+P134(f327(f327(f227(x52001),x52002),x52003)) % 153.71/153.54 [5216]~P97(x52161)+P18(x52161,x52162)+~P18(x52161,f327(f327(f136(x52161),x52163),x52162)) % 153.71/153.54 [5217]~P97(x52171)+P18(x52171,x52172)+~P18(x52171,f327(f327(f122(x52171),x52173),x52172)) % 153.71/153.54 [5218]~P97(x52181)+P18(x52181,x52182)+~P18(x52181,f327(f327(f122(x52181),x52182),x52183)) % 153.71/153.55 [5223]~P7(x52231)+~E(f53(x52231,x52233,x52232),f2(x52231))+P134(f327(f327(f274(x52231),x52232),x52233)) % 153.71/153.55 [5287]~P97(x52871)+P134(f327(f327(f227(x52871),x52873),x52872))+P134(f327(f327(f228(x52871),x52872),x52873)) % 153.71/153.55 [5289]~P97(x52891)+P134(f327(f327(f227(x52891),x52893),x52892))+P134(f327(f327(f227(x52891),x52892),x52893)) % 153.71/153.55 [5327]~P97(x53271)+E(f327(f327(f231(x53271),x53272),x53273),x53273)+~P134(f327(f327(f227(x53271),x53273),x53272)) % 153.71/153.55 [5329]~P97(x53291)+E(f327(f327(f231(x53291),x53292),x53293),x53292)+~P134(f327(f327(f227(x53291),x53292),x53293)) % 153.71/153.55 [5330]~P97(x53301)+E(f327(f327(f175(x53301),x53302),x53303),x53302)+~P134(f327(f327(f227(x53301),x53303),x53302)) % 153.71/153.55 [5332]~P97(x53321)+E(f327(f327(f175(x53321),x53322),x53323),x53323)+~P134(f327(f327(f227(x53321),x53322),x53323)) % 153.71/153.55 [5333]~P94(x53331)+E(f327(f327(f100(x53331),x53332),x53333),x53332)+~P134(f327(f327(f227(x53331),x53333),x53332)) % 153.71/153.55 [5335]~P94(x53351)+E(f327(f327(f100(x53351),x53352),x53353),x53353)+~P134(f327(f327(f227(x53351),x53352),x53353)) % 153.71/153.55 [5336]~P95(x53361)+E(f327(f327(f101(x53361),x53362),x53363),x53363)+~P134(f327(f327(f227(x53361),x53363),x53362)) % 153.71/153.55 [5338]~P95(x53381)+E(f327(f327(f101(x53381),x53382),x53383),x53382)+~P134(f327(f327(f227(x53381),x53382),x53383)) % 153.71/153.55 [5347]~P110(x53472)+E(x53471,f2(x53472))+E(f327(f327(f278(x53472),f327(f83(x53472),x53473)),f327(f83(x53472),x53471)),f327(f327(f278(x53472),x53473),x53471)) % 153.71/153.55 [5354]~P7(x53541)+E(f53(x53541,x53542,x53543),f2(x53541))+~P134(f327(f327(f274(x53541),x53543),x53542)) % 153.71/153.55 [5394]~P96(x53941)+E(f327(f289(x53941,x53942),x53943),f176(f841(x53941,a831)))+~P134(f327(f327(f227(x53941),x53943),x53942)) % 153.71/153.55 [5425]~P96(x54251)+E(f290(x54251,x54252,x54253),f176(f841(x54251,a831)))+~P134(f327(f327(f228(x54251),x54253),x54252)) % 153.71/153.55 [5426]~P96(x54261)+E(f292(x54261,x54262,x54263),f176(f841(x54261,a831)))+~P134(f327(f327(f227(x54261),x54263),x54262)) % 153.71/153.55 [5427]~P96(x54271)+E(f293(x54271,x54272,x54273),f176(f841(x54271,a831)))+~P134(f327(f327(f227(x54271),x54273),x54272)) % 153.71/153.55 [5479]~E(f327(f327(f3(a834),x54791),x54793),x54792)+E(x54791,f327(f327(f84(a834),x54792),x54793))+~P134(f327(f327(f227(a834),x54793),x54791)) % 153.71/153.55 [5480]~E(x54801,f327(f327(f84(a834),x54803),x54802))+E(f327(f327(f3(a834),x54801),x54802),x54803)+~P134(f327(f327(f227(a834),x54802),x54801)) % 153.71/153.55 [5527]~P134(f327(x55271,x55273))+P134(f327(x55271,f778(x55271,x55272)))+~P134(f327(f327(f227(a834),x55273),x55272)) % 153.71/153.55 [5528]~P134(f327(x55281,x55283))+P134(f327(x55281,f825(x55281,x55282)))+~P134(f327(f327(f228(a834),x55283),x55282)) % 153.71/153.55 [5537]~P96(x55371)+~E(f327(f289(x55371,x55372),x55373),f176(f841(x55371,a831)))+~P134(f327(f327(f228(x55371),x55372),x55373)) % 153.71/153.55 [5541]~P96(x55411)+~P134(f327(f327(f228(x55411),x55412),x55413))+P134(f327(f327(f227(x55411),x55412),x55413)) % 153.71/153.55 [5543]~P100(x55431)+~P134(f327(f327(f228(x55431),x55432),x55433))+P134(f327(f327(f227(x55431),x55432),x55433)) % 153.71/153.55 [5661]~P96(x56611)+~E(f290(x56611,x56612,x56613),f176(f841(x56611,a831)))+~P134(f327(f327(f227(x56611),x56612),x56613)) % 153.71/153.55 [5662]~P96(x56621)+~E(f292(x56621,x56622,x56623),f176(f841(x56621,a831)))+~P134(f327(f327(f228(x56621),x56622),x56623)) % 153.71/153.55 [5663]~P96(x56631)+~E(f176(f841(x56631,a831)),f290(x56631,x56632,x56633))+~P134(f327(f327(f227(x56631),x56632),x56633)) % 153.71/153.55 [5664]~P96(x56641)+~E(f176(f841(x56641,a831)),f292(x56641,x56642,x56643))+~P134(f327(f327(f228(x56641),x56642),x56643)) % 153.71/153.55 [5679]P134(f327(x56791,x56792))+~P134(f327(x56791,f826(x56791,x56793)))+~P134(f327(f327(f227(a834),x56792),x56793)) % 153.71/153.55 [5680]P134(f327(x56801,x56802))+~P134(f327(x56801,f335(x56801,x56803)))+~P134(f327(f327(f228(a834),x56802),x56803)) % 153.71/153.55 [5688]~E(x56881,f327(a111,x56883))+P134(f327(f327(f228(a834),x56881),f327(a111,x56882)))+~P134(f327(f327(f228(a834),x56883),x56882)) % 153.71/153.55 [5704]E(x57041,x57042)+~E(f327(f327(f85(a834),x57043),x57041),f327(f327(f85(a834),x57043),x57042))+~P134(f327(f327(f228(a834),f2(a834)),x57043)) % 153.71/153.55 [5766]E(f327(x57661,f397(x57661,x57662,x57663)),f82(a834))+~E(f327(f327(f8(x57663,a834),x57661),x57662),f82(a834))+~P134(f327(f66(x57663),x57662)) % 153.71/153.55 [5777]~P9(x57771)+P134(f327(f327(f227(x57771),x57772),f45(x57771,x57773)))+~P134(f327(f327(f329(x57771),x57772),x57773)) % 153.71/153.55 [5806]~P96(x58061)+~P134(f327(f327(f228(x58061),x58063),x58062))+~P134(f327(f327(f228(x58061),x58062),x58063)) % 153.71/153.55 [5807]~P97(x58071)+~P134(f327(f327(f228(x58071),x58073),x58072))+~P134(f327(f327(f228(x58071),x58072),x58073)) % 153.71/153.55 [5810]~P97(x58101)+~P134(f327(f327(f227(x58101),x58103),x58102))+~P134(f327(f327(f228(x58101),x58102),x58103)) % 153.71/153.55 [5814]~P100(x58141)+~P134(f327(f327(f228(x58141),x58143),x58142))+~P134(f327(f327(f228(x58141),x58142),x58143)) % 153.71/153.55 [5815]~P100(x58151)+~P134(f327(f327(f227(x58151),x58153),x58152))+~P134(f327(f327(f228(x58151),x58152),x58153)) % 153.71/153.55 [5833]~E(x58332,x58333)+~E(x58331,x58332)+E(f277(a834,f274(a834),x58331,x58332),f327(f327(f297(a834),x58333),f176(f841(a834,a831)))) % 153.71/153.55 [5840]~E(f327(x58402,f398(x58402,x58403,x58401)),f2(a834))+E(f327(f327(f8(x58401,a834),x58402),x58403),f2(a834))+~P134(f327(f66(x58401),x58403)) % 153.71/153.55 [5841]~E(f327(x58412,f445(x58412,x58413,x58411)),f82(a834))+E(f327(f327(f11(x58411,a834),x58412),x58413),f82(a834))+~P134(f327(f66(x58411),x58413)) % 153.71/153.55 [5856]~P101(x58561)+~P134(f327(f327(f274(x58561),x58562),x58563))+P134(f327(f327(f274(x58561),x58562),f327(f83(x58561),x58563))) % 153.71/153.55 [5857]~P107(x58571)+~P134(f327(f327(f274(x58571),x58572),x58573))+P134(f327(f327(f274(x58571),x58572),f327(f79(x58571),x58573))) % 153.71/153.55 [5858]~P99(x58581)+~P134(f327(f327(f228(x58581),x58583),x58582))+P134(f327(f327(f329(x58581),x58582),f327(f291(x58581),x58583))) % 153.71/153.55 [5859]~P99(x58591)+~P134(f327(f327(f227(x58591),x58593),x58592))+P134(f327(f327(f329(x58591),x58592),f327(f253(x58591),x58593))) % 153.71/153.55 [5860]~P99(x58601)+~P134(f327(f327(f228(x58601),x58602),x58603))+P134(f327(f327(f329(x58601),x58602),f327(f252(x58601),x58603))) % 153.71/153.55 [5861]~P99(x58611)+~P134(f327(f327(f227(x58611),x58612),x58613))+P134(f327(f327(f329(x58611),x58612),f327(f288(x58611),x58613))) % 153.71/153.55 [5873]E(f327(x58731,f399(x58731,x58732,x58733)),f327(a111,f2(a834)))+~E(f327(f327(f8(x58733,a834),x58731),x58732),f327(a111,f2(a834)))+~P134(f327(f66(x58733),x58732)) % 153.71/153.55 [5957]~P9(x59571)+~P134(f327(f327(f329(x59571),x59573),x59572))+P134(f327(f327(f227(x59571),f46(x59571,x59572)),x59573)) % 153.71/153.55 [5975]~P134(f327(f327(f227(a834),x59751),x59753))+P134(f327(f327(f227(a834),x59751),x59752))+~P134(f327(f327(f227(a834),x59753),x59752)) % 153.71/153.55 [5976]~P134(f327(f327(f227(a1),x59761),x59763))+P134(f327(f327(f227(a1),x59761),x59762))+~P134(f327(f327(f227(a1),x59763),x59762)) % 153.71/153.55 [5977]~P134(f327(f327(f274(a834),x59771),x59773))+P134(f327(f327(f274(a834),x59771),x59772))+~P134(f327(f327(f274(a834),x59773),x59772)) % 153.71/153.55 [5995]~P99(x59951)+~P134(f327(f327(f329(x59951),x59953),f327(f291(x59951),x59952)))+P134(f327(f327(f228(x59951),x59952),x59953)) % 153.71/153.55 [5996]~P99(x59961)+~P134(f327(f327(f329(x59961),x59962),f327(f252(x59961),x59963)))+P134(f327(f327(f228(x59961),x59962),x59963)) % 153.71/153.55 [5997]~P99(x59971)+~P134(f327(f327(f329(x59971),x59973),f327(f253(x59971),x59972)))+P134(f327(f327(f227(x59971),x59972),x59973)) % 153.71/153.55 [5998]~P99(x59981)+~P134(f327(f327(f329(x59981),x59982),f327(f288(x59981),x59983)))+P134(f327(f327(f227(x59981),x59982),x59983)) % 153.71/153.55 [5999]~P107(x59991)+~P134(f327(f327(f274(x59991),x59992),f327(f79(x59991),x59993)))+P134(f327(f327(f274(x59991),x59992),x59993)) % 153.71/153.55 [6000]~P101(x60001)+~P134(f327(f327(f274(x60001),x60002),f327(f83(x60001),x60003)))+P134(f327(f327(f274(x60001),x60002),x60003)) % 153.71/153.55 [6229]~P60(x62291)+P134(f327(f327(f228(x62291),f2(x62291)),f780(x62293,x62292,x62291)))+P134(f327(f327(f227(x62291),x62292),x62293)) % 153.71/153.55 [6230]~P61(x62301)+P134(f327(f327(f228(x62301),f2(x62301)),f788(x62303,x62302,x62301)))+P134(f327(f327(f227(x62301),x62302),x62303)) % 153.71/153.55 [6299]~P74(x62991)+~P134(f327(f327(f228(x62991),x62993),f327(f83(x62991),x62992)))+P134(f327(f327(f228(x62991),x62992),f327(f83(x62991),x62993))) % 153.71/153.55 [6301]~P74(x63011)+~P134(f327(f327(f227(x63011),x63013),f327(f83(x63011),x63012)))+P134(f327(f327(f227(x63011),x63012),f327(f83(x63011),x63013))) % 153.71/153.55 [6312]~P134(f327(f327(f228(a834),x63121),x63123))+~P134(f327(f327(f228(a834),x63123),x63122))+P134(f327(f327(f228(a834),f327(a111,x63121)),x63122)) % 153.71/153.55 [6345]~P107(x63451)+P134(f327(f327(f228(x63451),f327(f102(x63451),x63452)),f327(f102(x63451),x63453)))+~P134(f327(f327(f228(a1),x63452),x63453)) % 153.71/153.55 [6346]~P114(x63461)+P134(f327(f327(f228(x63461),f327(f99(x63461),x63462)),f327(f99(x63461),x63463)))+~P134(f327(f327(f228(a834),x63462),x63463)) % 153.71/153.55 [6347]~P114(x63471)+P134(f327(f327(f227(x63471),f327(f99(x63471),x63472)),f327(f99(x63471),x63473)))+~P134(f327(f327(f227(a834),x63472),x63473)) % 153.71/153.55 [6348]~P107(x63481)+P134(f327(f327(f227(x63481),f327(f102(x63481),x63482)),f327(f102(x63481),x63483)))+~P134(f327(f327(f227(a1),x63482),x63483)) % 153.71/153.55 [6354]~P97(x63541)+E(f327(f327(f100(f841(x63541,a831)),f327(f252(x63541),x63542)),f327(f289(x63541,x63542),x63543)),f327(f252(x63541),x63543))+~P134(f327(f327(f227(x63541),x63542),x63543)) % 153.71/153.55 [6383]~P74(x63831)+~P134(f327(f327(f228(x63831),x63833),x63832))+P134(f327(f327(f228(x63831),f327(f83(x63831),x63832)),f327(f83(x63831),x63833))) % 153.71/153.55 [6385]~P74(x63851)+~P134(f327(f327(f227(x63851),x63853),x63852))+P134(f327(f327(f227(x63851),f327(f83(x63851),x63852)),f327(f83(x63851),x63853))) % 153.71/153.55 [6387]~P87(x63871)+~P134(f327(f327(f227(x63871),x63873),x63872))+P134(f327(f327(f227(x63871),f327(f83(x63871),x63872)),f327(f83(x63871),x63873))) % 153.71/153.55 [6423]~P97(x64231)+E(f327(f327(f100(f841(x64231,a831)),f327(f252(x64231),x64232)),f290(x64231,x64232,x64233)),f327(f288(x64231),x64233))+~P134(f327(f327(f227(x64231),x64232),x64233)) % 153.71/153.55 [6424]~P97(x64241)+E(f327(f327(f100(f841(x64241,a831)),f327(f288(x64241),x64242)),f292(x64241,x64242,x64243)),f327(f288(x64241),x64243))+~P134(f327(f327(f227(x64241),x64242),x64243)) % 153.71/153.55 [6425]~P97(x64251)+E(f327(f327(f100(f841(x64251,a831)),f327(f288(x64251),x64252)),f293(x64251,x64252,x64253)),f327(f252(x64251),x64253))+~P134(f327(f327(f228(x64251),x64252),x64253)) % 153.71/153.55 [6459]~P97(x64591)+E(f327(f327(f100(f841(x64591,a831)),f327(f289(x64591,x64592),x64593)),f327(f253(x64591),x64593)),f327(f253(x64591),x64592))+~P134(f327(f327(f227(x64591),x64592),x64593)) % 153.71/153.55 [6621]~P97(x66211)+E(f327(f327(f100(f841(x66211,a831)),f290(x66211,x66212,x66213)),f327(f291(x66211),x66213)),f327(f253(x66211),x66212))+~P134(f327(f327(f227(x66211),x66212),x66213)) % 153.71/153.55 [6622]~P97(x66221)+E(f327(f327(f100(f841(x66221,a831)),f292(x66221,x66222,x66223)),f327(f291(x66221),x66223)),f327(f291(x66221),x66222))+~P134(f327(f327(f227(x66221),x66222),x66223)) % 153.71/153.55 [6623]~P97(x66231)+E(f327(f327(f100(f841(x66231,a831)),f293(x66231,x66232,x66233)),f327(f253(x66231),x66233)),f327(f291(x66231),x66232))+~P134(f327(f327(f228(x66231),x66232),x66233)) % 153.71/153.55 [6640]P134(f327(x66401,x66402))+~P134(f327(f327(f227(a834),x66402),x66403))+P134(f327(f327(f329(a834),f826(x66401,x66403)),f290(a834,f2(a834),x66403))) % 153.71/153.55 [6650]P134(f327(f327(f274(a1),x66501),f53(a1,x66502,x66503)))+~P134(f327(f327(f274(a1),x66501),x66502))+~P134(f327(f327(f274(a1),x66501),x66503)) % 153.71/153.55 [6676]E(x66761,x66762)+~E(f327(f327(f146(x66763),x66761),f713(x66763,x66762,x66761)),f327(f327(f146(x66763),x66762),f713(x66763,x66762,x66761)))+~E(f327(f177(f835(x66763)),x66761),f327(f177(f835(x66763)),x66762)) % 153.71/153.55 [6681]~E(x66813,f327(f327(f44(a834),x66811),x66812))+~P134(f327(f327(f228(a834),f2(a834)),x66812))+P134(f327(f327(f228(a834),x66811),f327(f327(f85(a834),x66812),f327(a111,x66813)))) % 153.71/153.55 [6696]~P134(f327(x66961,x66963))+~P134(f327(f327(f227(a834),x66963),x66962))+P134(f327(f327(f329(a834),f778(x66961,x66962)),f290(a834,f2(a834),x66962))) % 153.71/153.55 [6738]~P134(f327(x67381,x67383))+P134(f327(x67381,f827(x67381,x67382)))+~P134(f327(f327(f329(a834),x67383),f290(a834,f2(a834),x67382))) % 153.71/153.55 [6761]~P114(x67613)+~P134(f327(f327(f228(x67613),f327(f99(x67613),x67611)),f327(f99(x67613),x67612)))+P134(f327(f327(f228(a834),x67611),x67612)) % 153.71/153.55 [6762]~P107(x67623)+~P134(f327(f327(f228(x67623),f327(f102(x67623),x67621)),f327(f102(x67623),x67622)))+P134(f327(f327(f228(a1),x67621),x67622)) % 153.71/153.55 [6763]~P114(x67633)+~P134(f327(f327(f227(x67633),f327(f99(x67633),x67631)),f327(f99(x67633),x67632)))+P134(f327(f327(f227(a834),x67631),x67632)) % 153.71/153.55 [6764]~P107(x67643)+~P134(f327(f327(f227(x67643),f327(f102(x67643),x67641)),f327(f102(x67643),x67642)))+P134(f327(f327(f227(a1),x67641),x67642)) % 153.71/153.55 [6779]~P114(x67791)+~P134(f327(f327(f228(x67791),f82(x67791)),x67792))+P134(f327(f327(f228(x67791),f82(x67791)),f327(f327(f237(x67791),x67792),f327(a111,x67793)))) % 153.71/153.55 [6783]~P74(x67831)+~P134(f327(f327(f228(x67831),f327(f83(x67831),x67833)),f327(f83(x67831),x67832)))+P134(f327(f327(f228(x67831),x67832),x67833)) % 153.71/153.55 [6784]~P74(x67841)+~P134(f327(f327(f227(x67841),f327(f83(x67841),x67843)),f327(f83(x67841),x67842)))+P134(f327(f327(f227(x67841),x67842),x67843)) % 153.71/153.55 [6785]~P87(x67851)+~P134(f327(f327(f227(x67851),f327(f83(x67851),x67853)),f327(f83(x67851),x67852)))+P134(f327(f327(f227(x67851),x67852),x67853)) % 153.71/153.55 [6810]P134(f327(x68101,x68102))+~P134(f327(x68101,f828(x68101,x68103)))+~P134(f327(f327(f329(a834),x68102),f290(a834,f2(a834),x68103))) % 153.71/153.55 [6831]~P60(x68311)+P134(f327(f327(f228(x68311),f780(x68313,x68312,x68311)),f82(x68311)))+P134(f327(f327(f227(x68311),x68312),x68313)) % 153.71/153.55 [6849]~E(f53(a834,x68493,x68492),f53(a834,x68491,x68492))+E(f327(f327(f84(a834),x68491),f327(f327(f85(a834),x68492),f790(x68491,x68492,x68493))),x68493)+~P134(f327(f327(f227(a834),x68491),x68493)) % 153.71/153.55 [6867]E(f327(x68671,f588(x68671,x68672,x68673)),f179(x68672))+~P134(f327(f66(x68673),f165(x68673,x68672,x68671)))+P134(f327(f66(x68673),f234(f841(x68673,a831)))) % 153.71/153.55 [6912]E(f327(f327(f8(x69121,a834),x69122),x69123),f2(a834))+~P134(f327(f66(x69121),x69123))+P134(f327(f327(f329(x69121),f398(x69122,x69123,x69121)),x69123)) % 153.71/153.55 [6913]E(f327(f327(f11(x69131,a834),x69132),x69133),f82(a834))+~P134(f327(f66(x69131),x69133))+P134(f327(f327(f329(x69131),f445(x69132,x69133,x69131)),x69133)) % 153.71/153.55 [6935]~P97(x69351)+~P134(f327(f327(f228(x69351),x69352),x69353))+P134(f327(f327(f228(f841(x69351,a831)),f327(f252(x69351),x69352)),f327(f252(x69351),x69353))) % 153.71/153.55 [6936]~P97(x69361)+~P134(f327(f327(f227(x69361),x69362),x69363))+P134(f327(f327(f227(f841(x69361,a831)),f327(f252(x69361),x69362)),f327(f252(x69361),x69363))) % 153.71/153.55 [6937]~P97(x69371)+~P134(f327(f327(f227(x69371),x69373),x69372))+P134(f327(f327(f227(f841(x69371,a831)),f327(f291(x69371),x69372)),f327(f291(x69371),x69373))) % 153.71/153.55 [6938]~P96(x69381)+~P134(f327(f327(f227(x69381),x69382),x69383))+P134(f327(f327(f227(f841(x69381,a831)),f327(f288(x69381),x69382)),f327(f288(x69381),x69383))) % 153.71/153.55 [6939]~P96(x69391)+~P134(f327(f327(f227(x69391),x69393),x69392))+P134(f327(f327(f227(f841(x69391,a831)),f327(f253(x69391),x69392)),f327(f253(x69391),x69393))) % 153.71/153.55 [6944]~P9(x69441)+P134(f327(f327(f227(x69441),x69442),f46(x69441,x69443)))+P134(f327(f327(f329(x69441),f640(x69443,x69442,x69441)),x69443)) % 153.71/153.55 [6949]~P74(x69491)+P134(f327(f327(f228(x69491),f327(f327(f3(x69491),x69492),x69493)),f2(x69491)))+~P134(f327(f327(f228(x69491),x69492),x69493)) % 153.71/153.55 [6950]~P74(x69501)+P134(f327(f327(f227(x69501),f327(f327(f3(x69501),x69502),x69503)),f2(x69501)))+~P134(f327(f327(f227(x69501),x69502),x69503)) % 153.71/153.55 [6990]~P134(f327(f327(f274(a1),x69901),f53(a1,x69902,x69903)))+~P134(f327(f327(f274(a1),x69901),x69903))+P134(f327(f327(f274(a1),x69901),x69902)) % 153.71/153.55 [6997]P134(f327(x69971,x69972))+P134(f327(f327(f227(a834),f828(x69971,x69973)),x69973))+~P134(f327(f327(f329(a834),x69972),f290(a834,f2(a834),x69973))) % 153.71/153.55 [7041]~E(f327(f327(f8(x70411,a834),x70412),x70413),f82(a834))+~P134(f327(f66(x70411),x70413))+P134(f327(f327(f329(x70411),f397(x70412,x70413,x70411)),x70413)) % 153.71/153.55 [7042]~P134(f327(x70421,x70423))+P134(f327(f327(f227(a834),f827(x70421,x70422)),x70422))+~P134(f327(f327(f329(a834),x70423),f290(a834,f2(a834),x70422))) % 153.71/153.55 [7080]~P9(x70801)+P134(f327(f327(f329(x70801),f647(x70803,x70802,x70801)),x70802))+P134(f327(f327(f227(x70801),f45(x70801,x70802)),x70803)) % 153.71/153.55 [7110]~E(f327(f327(f8(x71101,a834),x71102),x71103),f327(a111,f2(a834)))+~P134(f327(f66(x71101),x71103))+P134(f327(f327(f329(x71101),f399(x71102,x71103,x71101)),x71103)) % 153.71/153.55 [7122]E(x71221,f2(a834))+P134(f327(x71222,f53(a834,x71223,x71221)))+P134(f327(f327(f228(a834),f782(x71221,x71223,x71222)),x71221)) % 153.71/153.55 [7245]~P134(f327(x72451,x72452))+P134(f327(x72451,f53(a834,x72452,x72453)))+P134(f327(f327(f228(a834),f782(x72453,x72452,x72451)),x72453)) % 153.71/153.55 [7369]E(x73691,f112(x73692))+~P134(f327(f327(f329(f835(x73692)),x73691),f144(x73692,x73693)))+P134(f327(f327(f329(x73692),f734(x73693,x73691,x73692)),x73693)) % 153.71/153.55 [7390]~P97(x73901)+E(f327(f327(f100(f841(x73901,a831)),f327(f327(f297(x73901),x73902),f176(f841(x73901,a831)))),f293(x73901,x73902,x73903)),f327(f289(x73901,x73902),x73903))+~P134(f327(f327(f228(x73901),x73902),x73903)) % 153.71/153.55 [7413]~P97(x74131)+E(f327(f327(f100(f841(x74131,a831)),f327(f327(f297(x74131),x74132),f176(f841(x74131,a831)))),f292(x74131,x74132,x74133)),f290(x74131,x74132,x74133))+~P134(f327(f327(f227(x74131),x74132),x74133)) % 153.71/153.55 [7526]~P97(x75261)+P134(f327(f327(f228(x75261),x75262),x75263))+~P134(f327(f327(f228(f841(x75261,a831)),f327(f252(x75261),x75262)),f327(f252(x75261),x75263))) % 153.71/153.55 [7527]~P96(x75271)+P134(f327(f327(f227(x75271),x75272),x75273))+~P134(f327(f327(f227(f841(x75271,a831)),f327(f253(x75271),x75273)),f327(f253(x75271),x75272))) % 153.71/153.55 [7528]~P97(x75281)+P134(f327(f327(f227(x75281),x75282),x75283))+~P134(f327(f327(f227(f841(x75281,a831)),f327(f291(x75281),x75283)),f327(f291(x75281),x75282))) % 153.71/153.55 [7529]~P96(x75291)+P134(f327(f327(f227(x75291),x75292),x75293))+~P134(f327(f327(f227(f841(x75291,a831)),f327(f288(x75291),x75292)),f327(f288(x75291),x75293))) % 153.71/153.55 [7530]~P97(x75301)+P134(f327(f327(f227(x75301),x75302),x75303))+~P134(f327(f327(f227(f841(x75301,a831)),f327(f252(x75301),x75302)),f327(f252(x75301),x75303))) % 153.71/153.55 [7553]~P74(x75531)+~P134(f327(f327(f228(x75531),f327(f327(f3(x75531),x75532),x75533)),f2(x75531)))+P134(f327(f327(f228(x75531),x75532),x75533)) % 153.71/153.55 [7554]~P74(x75541)+~P134(f327(f327(f227(x75541),f327(f327(f3(x75541),x75542),x75543)),f2(x75541)))+P134(f327(f327(f227(x75541),x75542),x75543)) % 153.71/153.55 [7712]E(x77121,f2(a834))+~E(f327(f128(a834,a834,f84(a834),x77122),x77123),f2(a834))+~P134(f327(f327(f329(a834),x77121),f327(f154(a834),x77123))) % 153.71/153.55 [7716]~P9(x77161)+~P134(f327(f327(f227(x77161),f647(x77163,x77162,x77161)),x77163))+P134(f327(f327(f227(x77161),f45(x77161,x77162)),x77163)) % 153.71/153.55 [7868]P134(f327(f327(f227(a1),f2(a1)),f762(x78681,x78682,x78683)))+P134(f327(f327(x78682,f327(f327(f44(a1),x78681),x78683)),f53(a1,x78681,x78683)))+~P134(f327(f327(f228(a1),f2(a1)),x78683)) % 153.71/153.55 [7953]E(x79531,x79532)+~E(f327(f177(f835(x79533)),x79531),f327(f177(f835(x79533)),x79532))+~P134(f327(f327(f246(x79533,x79533,a831),a324),f696(x79533,x79531,x79532))) % 153.71/153.55 [8019]~P33(x80192,x80193)+E(x80191,f176(f841(x80192,a831)))+~P134(f327(f327(f227(f841(x80192,a831)),x80191),f327(f272(x80192,x80192,x80193),x80191))) % 153.71/153.55 [8048]~P61(x80481)+~P134(f327(f327(f227(x80481),x80482),f327(f327(f84(x80481),x80483),f788(x80483,x80482,x80481))))+P134(f327(f327(f227(x80481),x80482),x80483)) % 153.71/153.55 [8084]P45(x80841,x80842,x80843)+P134(f327(f327(f329(x80841),f578(x80843,x80842,x80841)),x80842))+P134(f327(f327(f329(f840(x80841,x80841)),f579(x80843,x80842,x80841)),x80843)) % 153.71/153.55 [8106]P134(f327(f327(x81062,f327(f327(f44(a1),x81061),x81063)),f53(a1,x81061,x81063)))+~P134(f327(f327(f228(a1),f2(a1)),x81063))+P134(f327(f327(f228(a1),f762(x81061,x81062,x81063)),x81063)) % 153.71/153.55 [8130]E(f327(f298(a834,a834,f327(f327(f9(a834,a834,a834),f3(a834)),x81301)),f327(f289(a834,x81302),x81303)),f176(f841(a834,a831)))+P134(f327(f327(f228(a834),x81301),x81303))+P134(f327(f327(f228(a834),x81302),x81303)) % 153.71/153.55 [8232]E(f327(f298(a834,a834,f327(f327(f9(a834,a834,a834),f3(a834)),x82321)),f327(f289(a834,x82322),x82323)),f327(f327(f297(a834),f2(a834)),f176(f841(a834,a831))))+P134(f327(f327(f228(a834),x82321),x82323))+~P134(f327(f327(f228(a834),x82322),x82323)) % 153.71/153.55 [8247]~P97(x82471)+E(f135(x82471,x82471,f7(x82471),x82472,x82473),x82473)+~P134(f327(f327(f329(x82471),x82472),f327(f154(x82471),x82473))) % 153.71/153.55 [8261]P28(x82611,x82611,x82612,x82613)+~P134(f327(f66(x82611),x82613))+~P134(f327(f327(f227(f841(x82611,a831)),x82613),f327(f298(x82611,x82611,x82612),x82613))) % 153.71/153.55 [8288]E(f327(f327(f84(a1),f327(f327(f85(a1),x82881),f753(x82882,x82883,x82881))),f762(x82882,x82883,x82881)),x82882)+P134(f327(f327(x82883,f327(f327(f44(a1),x82882),x82881)),f53(a1,x82882,x82881)))+~P134(f327(f327(f228(a1),f2(a1)),x82881)) % 153.71/153.55 [8507]~P134(f327(f327(x85071,f753(x85072,x85071,x85073)),f762(x85072,x85071,x85073)))+P134(f327(f327(x85071,f327(f327(f44(a1),x85072),x85073)),f53(a1,x85072,x85073)))+~P134(f327(f327(f228(a1),f2(a1)),x85073)) % 153.71/153.55 [9290]~P134(f327(f66(x92901),x92902))+~P134(f327(f327(f329(x92901),x92903),x92902))+P134(f327(f327(f228(a834),f327(f43(x92901),f327(f327(f3(f841(x92901,a831)),x92902),f327(f327(f297(x92901),x92903),f176(f841(x92901,a831)))))),f327(f43(x92901),x92902))) % 153.71/153.55 [9864]P45(x98641,x98642,x98643)+~P134(f327(f327(f246(x98641,x98641,a831),f327(f327(f9(x98641,f841(x98641,a831),f841(x98641,a831)),f327(f327(f10(f841(a831,a831),f841(f841(x98641,a831),f841(x98641,a831)),x98641),f10(a831,a831,x98641)),f327(f327(f10(a831,f841(a831,a831),x98641),a325),f327(f327(f9(x98641,f841(x98641,a831),a831),f329(x98641)),x98642)))),f327(f327(f9(x98641,f841(x98641,a831),a831),f329(x98641)),x98642))),f579(x98643,x98642,x98641)))+P134(f327(f327(f329(x98641),f578(x98643,x98642,x98641)),x98642)) % 153.71/153.55 [5307]~P110(x53072)+E(x53071,f2(x53072))+E(f327(f327(f278(x53072),x53073),f327(f83(x53072),x53071)),f327(f83(x53072),f327(f327(f278(x53072),x53073),x53071))) % 153.71/153.55 [5441]~E(x54413,f176(f841(x54411,a831)))+~E(x54412,f176(f841(x54411,a831)))+E(f327(f327(f100(f841(x54411,a831)),x54412),x54413),f176(f841(x54411,a831))) % 153.71/153.55 [5499]~E(x54993,f2(a834))+~P134(f327(x54991,f2(a834)))+P134(f327(x54991,f327(f327(f44(a834),x54992),x54993))) % 153.71/153.55 [5656]~P61(x56562)+E(x56561,f2(x56562))+E(f327(f327(f278(x56562),f327(f79(x56562),x56563)),f327(f79(x56562),x56561)),f327(f79(x56562),f327(f327(f278(x56562),x56563),x56561))) % 153.71/153.55 [5754]~P82(x57541)+~E(x57542,f82(x57541))+P134(f327(f327(f274(x57541),x57542),f327(f327(f237(x57541),x57542),x57543))) % 153.71/153.55 [5771]~P7(x57711)+E(f327(f327(f85(x57711),x57712),f327(f327(f44(x57711),x57713),x57712)),x57713)+~P134(f327(f327(f274(x57711),x57712),x57713)) % 153.71/153.55 [5830]~P134(f327(f66(x58301),x58303))+E(f327(f43(x58301),f327(f327(f297(x58301),x58302),x58303)),f327(a111,f327(f43(x58301),x58303)))+P134(f327(f327(f329(x58301),x58302),x58303)) % 153.71/153.55 [5907]~E(x59072,f2(a834))+P134(f327(x59071,f2(a834)))+~P134(f327(x59071,f327(f327(f44(a834),x59073),x59072))) % 153.71/153.55 [5926]~P134(f327(f66(x59261),x59263))+E(f327(f43(x59261),f327(f327(f297(x59261),x59262),x59263)),f327(f43(x59261),x59263))+~P134(f327(f327(f329(x59261),x59262),x59263)) % 153.71/153.55 [5959]~P134(f327(f66(x59591),x59593))+E(f327(f43(x59591),f327(f327(f297(x59591),x59592),x59593)),f327(f327(f84(a834),f82(a834)),f327(f43(x59591),x59593)))+P134(f327(f327(f329(x59591),x59592),x59593)) % 153.71/153.55 [5966]~P8(x59661)+E(f327(f327(f44(x59661),x59662),f327(f83(x59661),x59663)),f327(f83(x59661),f327(f327(f44(x59661),x59662),x59663)))+~P134(f327(f327(f274(x59661),x59663),x59662)) % 153.71/153.55 [6084]E(f327(f327(f84(a834),x60841),f779(x60841,x60842,x60843)),x60842)+~P134(f327(x60843,f2(a834)))+P134(f327(x60843,f327(f327(f3(a834),x60842),x60841))) % 153.71/153.55 [6085]E(f327(f327(f84(a834),x60851),f786(x60851,x60852,x60853)),x60852)+~P134(f327(x60853,f2(a834)))+P134(f327(x60853,f327(f327(f3(a834),x60852),x60851))) % 153.71/153.55 [6109]~P8(x61091)+E(f327(f327(f44(x61091),f327(f83(x61091),x61092)),x61093),f327(f83(x61091),f327(f327(f44(x61091),x61092),x61093)))+~P134(f327(f327(f274(x61091),x61093),x61092)) % 153.71/153.55 [6132]~P9(x61321)+~P134(f327(f66(x61321),x61323))+E(f327(f327(f69(x61321,x61321,f100(x61321)),x61322),x61323),f327(f327(f100(x61321),x61322),f45(x61321,x61323))) % 153.71/153.55 [6133]~P9(x61331)+~P134(f327(f66(x61331),x61333))+E(f327(f327(f69(x61331,x61331,f101(x61331)),x61332),x61333),f327(f327(f101(x61331),x61332),f46(x61331,x61333))) % 153.71/153.55 [6139]~P85(x61391)+~E(f327(f103(x61391),x61392),f327(f103(x61391),x61393))+P30(x61391,f327(f103(x61391),f327(f327(f84(a1),x61392),f327(f83(a1),x61393)))) % 153.71/153.55 [6146]~P130(x61461)+E(f327(f327(f3(x61461),f327(f99(x61461),x61462)),f327(f99(x61461),x61463)),f327(f99(x61461),f327(f327(f3(a834),x61462),x61463)))+~P134(f327(f327(f227(a834),x61463),x61462)) % 153.71/153.55 [6152]~P101(x61521)+~P134(f327(f327(f274(x61521),x61522),x61523))+P134(f327(f327(f274(x61521),f327(f83(x61521),x61522)),x61523)) % 153.71/153.55 [6153]~P107(x61531)+~P134(f327(f327(f274(x61531),x61532),x61533))+P134(f327(f327(f274(x61531),f327(f79(x61531),x61532)),x61533)) % 153.71/153.55 [6240]E(f327(f327(f84(a834),x62401),f779(x62401,x62402,x62403)),x62402)+P134(f327(f327(f228(a834),x62402),x62401))+P134(f327(x62403,f327(f327(f3(a834),x62402),x62401))) % 153.71/153.55 [6241]E(f327(f327(f84(a834),x62411),f786(x62411,x62412,x62413)),x62412)+P134(f327(f327(f228(a834),x62412),x62411))+P134(f327(x62413,f327(f327(f3(a834),x62412),x62411))) % 153.71/153.55 [6258]~P107(x62581)+E(f327(f327(f85(x62581),f327(f79(x62581),x62582)),x62583),f327(f79(x62581),f327(f327(f85(x62581),x62582),x62583)))+~P134(f327(f327(f227(x62581),f2(x62581)),x62583)) % 153.71/153.55 [6259]~P60(x62591)+E(f327(f327(f278(x62591),f327(f79(x62591),x62592)),x62593),f327(f79(x62591),f327(f327(f278(x62591),x62592),x62593)))+~P134(f327(f327(f228(x62591),f2(x62591)),x62593)) % 153.71/153.55 [6268]~P89(x62681)+~P134(f327(f66(x62681),x62683))+E(f327(f327(f69(x62681,x62681,f100(x62681)),x62682),x62683),f15(x62681,f327(f327(f297(x62681),x62682),x62683))) % 153.71/153.55 [6269]~P97(x62691)+~P134(f327(f66(x62691),x62693))+E(f327(f327(f69(x62691,x62691,f175(x62691)),x62692),x62693),f16(x62691,f327(f327(f297(x62691),x62692),x62693))) % 153.71/153.55 [6270]~P97(x62701)+~P134(f327(f66(x62701),x62703))+E(f327(f327(f69(x62701,x62701,f231(x62701)),x62702),x62703),f17(x62701,f327(f327(f297(x62701),x62702),x62703))) % 153.71/153.55 [6271]~P89(x62711)+~P134(f327(f66(x62711),x62713))+E(f327(f327(f69(x62711,x62711,f101(x62711)),x62712),x62713),f12(x62711,f327(f327(f297(x62711),x62712),x62713))) % 153.71/153.55 [6314]E(x63141,f112(x63142))+~E(f160(x63142,x63143),f112(f835(x63142)))+~P134(f327(f327(f329(f835(x63142)),x63141),f327(f154(f835(x63142)),x63143))) % 153.71/153.55 [6333]~P82(x63331)+~P134(f327(f327(f228(a834),f2(a834)),x63333))+P134(f327(f327(f274(x63331),x63332),f327(f327(f237(x63331),x63332),x63333))) % 153.71/153.55 [6362]~P134(f327(f124(x63621),x63623))+P134(f327(f327(f329(x63621),x63622),f327(f154(x63621),x63623)))+P134(f327(f124(x63621),f327(f327(f136(x63621),x63622),x63623))) % 153.71/153.55 [6374]~P88(x63741)+~P134(f327(f66(x63741),x63743))+E(f327(f68(x63741,f85(x63741)),f327(f327(f297(x63741),x63742),x63743)),f327(f327(f69(x63741,x63741,f85(x63741)),x63742),x63743)) % 153.71/153.55 [6396]~P97(x63961)+~P134(f327(f66(x63961),x63963))+E(f13(x63961,f175(x63961),f327(f327(f297(x63961),x63962),x63963)),f327(f327(f69(x63961,x63961,f175(x63961)),x63962),x63963)) % 153.71/153.55 [6397]~P97(x63971)+~P134(f327(f66(x63971),x63973))+E(f14(x63971,f231(x63971),f327(f327(f297(x63971),x63972),x63973)),f327(f327(f69(x63971,x63971,f231(x63971)),x63972),x63973)) % 153.71/153.55 [6399]P134(f327(x63991,f2(a834)))+~P134(f327(f327(f228(a834),x63992),x63993))+~P134(f327(x63991,f327(f327(f3(a834),x63992),x63993))) % 153.71/153.55 [6418]~P107(x64181)+P134(f327(f327(f228(x64181),x64182),x64183))+~P134(f327(f327(f228(x64181),f327(f79(x64181),x64182)),x64183)) % 153.71/153.55 [6420]~P76(x64201)+P134(f327(f327(f227(x64201),x64202),x64203))+~P134(f327(f327(f227(x64201),f327(f79(x64201),x64202)),x64203)) % 153.71/153.55 [6421]~P107(x64211)+P134(f327(f327(f274(x64211),x64212),x64213))+~P134(f327(f327(f274(x64211),f327(f79(x64211),x64212)),x64213)) % 153.71/153.55 [6422]~P101(x64221)+P134(f327(f327(f274(x64221),x64222),x64223))+~P134(f327(f327(f274(x64221),f327(f83(x64221),x64222)),x64223)) % 153.71/153.55 [6439]E(x64391,f112(x64392))+E(f327(f127(x64392),f327(f327(f125(x64392),x64393),x64391)),f327(f327(f146(x64392),x64391),x64393))+~P134(f327(f327(f228(a834),x64393),f327(f177(f835(x64392)),x64391))) % 153.71/153.55 [6492]~P134(f327(x64921,x64923))+P134(f327(x64921,f336(x64921,x64922)))+~P134(f327(f327(f329(a834),x64923),f327(f289(a834,f2(a834)),x64922))) % 153.71/153.55 [6514]P134(f327(x65141,x65142))+~P134(f327(f327(f228(a834),x65142),x65143))+P134(f327(f327(f329(a834),f335(x65141,x65143)),f327(f289(a834,f2(a834)),x65143))) % 153.71/153.55 [6529]~P114(x65291)+~P134(f327(f327(f228(x65291),f2(x65291)),x65292))+P134(f327(f327(f228(x65291),f2(x65291)),f327(f327(f237(x65291),x65292),x65293))) % 153.71/153.55 [6531]~P114(x65311)+~P134(f327(f327(f227(x65311),f2(x65311)),x65312))+P134(f327(f327(f227(x65311),f2(x65311)),f327(f327(f237(x65311),x65312),x65313))) % 153.71/153.55 [6532]~P114(x65321)+~P134(f327(f327(f227(x65321),f82(x65321)),x65322))+P134(f327(f327(f227(x65321),f82(x65321)),f327(f327(f237(x65321),x65322),x65323))) % 153.71/153.55 [6556]~P134(f327(x65561,x65563))+~P134(f327(f327(f228(a834),x65563),x65562))+P134(f327(f327(f329(a834),f825(x65561,x65562)),f327(f289(a834,f2(a834)),x65562))) % 153.71/153.55 [6561]P134(f327(f66(x65611),x65612))+~P134(f327(f66(x65611),x65613))+~P134(f327(f327(f227(f841(x65611,a831)),x65612),x65613)) % 153.71/153.55 [6570]~P134(f327(f327(f274(a834),x65701),x65702))+~P134(f327(f327(f274(a834),x65701),x65703))+P134(f327(f327(f274(a834),x65701),f327(f327(f3(a834),x65702),x65703))) % 153.71/153.55 [6571]P134(f327(x65711,x65712))+~P134(f327(x65711,f337(x65711,x65713)))+~P134(f327(f327(f329(a834),x65712),f327(f289(a834,f2(a834)),x65713))) % 153.71/153.55 [6584]E(x65841,f2(a834))+P134(f327(x65842,f776(x65841,x65843,x65842)))+~P134(f327(x65842,f327(f327(f44(a834),x65843),x65841))) % 153.71/153.55 [6594]~P115(x65942)+E(x65941,f2(x65942))+~E(f327(f327(f84(x65942),f327(f327(f85(x65942),x65943),x65943)),f327(f327(f85(x65942),x65941),x65941)),f2(x65942)) % 153.71/153.55 [6595]~P115(x65952)+E(x65951,f2(x65952))+~E(f327(f327(f84(x65952),f327(f327(f85(x65952),x65951),x65951)),f327(f327(f85(x65952),x65953),x65953)),f2(x65952)) % 153.71/153.55 [6641]E(x66411,f2(a834))+~P134(f327(x66412,f781(x66411,x66413,x66412)))+P134(f327(x66412,f327(f327(f44(a834),x66413),x66411))) % 153.71/153.55 [6646]~P97(x66461)+~P18(x66461,x66463)+P18(x66461,f327(f327(f134(x66461,x66461,f7(x66461)),x66462),x66463)) % 153.71/153.55 [6689]P134(f327(x66891,f776(x66892,x66893,x66891)))+P134(f327(x66891,f2(a834)))+~P134(f327(x66891,f327(f327(f44(a834),x66893),x66892))) % 153.71/153.55 [6695]~P85(x66951)+E(f327(f103(x66951),x66952),f327(f103(x66951),x66953))+~P30(x66951,f327(f103(x66951),f327(f327(f84(a1),x66952),f327(f83(a1),x66953)))) % 153.71/153.55 [6767]E(x67671,f2(a1))+E(x67672,f2(a1))+~P134(f327(f57(x67672,x67672),f327(f327(f236(a1,a1),x67673),x67671))) % 153.71/153.55 [6768]E(x67681,f82(a1))+E(x67682,f2(a1))+~P134(f327(f57(x67682,x67682),f327(f327(f236(a1,a1),x67681),x67683))) % 153.71/153.55 [6781]P134(f327(x67811,x67812))+P134(f327(f327(f228(a834),f337(x67811,x67813)),x67813))+~P134(f327(f327(f329(a834),x67812),f327(f289(a834,f2(a834)),x67813))) % 153.71/153.55 [6805]~P134(f327(x68051,f781(x68053,x68052,x68051)))+~P134(f327(x68051,f2(a834)))+P134(f327(x68051,f327(f327(f44(a834),x68052),x68053))) % 153.71/153.55 [6806]~P134(f327(x68061,f779(x68063,x68062,x68061)))+~P134(f327(x68061,f2(a834)))+P134(f327(x68061,f327(f327(f3(a834),x68062),x68063))) % 153.71/153.55 [6807]~P134(f327(x68071,f786(x68073,x68072,x68071)))+~P134(f327(x68071,f2(a834)))+P134(f327(x68071,f327(f327(f3(a834),x68072),x68073))) % 153.71/153.55 [6827]~P134(f327(x68271,x68273))+P134(f327(f327(f228(a834),f336(x68271,x68272)),x68272))+~P134(f327(f327(f329(a834),x68273),f327(f289(a834,f2(a834)),x68272))) % 153.71/153.55 [6828]E(f327(f327(f3(a834),f327(f327(f3(a834),x68281),x68282)),f327(f327(f3(a834),x68283),x68282)),f327(f327(f3(a834),x68281),x68283))+~P134(f327(f327(f227(a834),x68282),x68281))+~P134(f327(f327(f227(a834),x68282),x68283)) % 153.71/153.55 [6861]~P74(x68611)+~P134(f327(f327(f228(x68611),f327(f83(x68611),x68613)),x68612))+P134(f327(f327(f228(x68611),f327(f83(x68611),x68612)),x68613)) % 153.71/153.55 [6862]~P107(x68621)+~P134(f327(f327(f228(x68621),f327(f79(x68621),x68622)),x68623))+P134(f327(f327(f228(x68621),f327(f83(x68621),x68622)),x68623)) % 153.71/153.55 [6864]~P74(x68641)+~P134(f327(f327(f227(x68641),f327(f83(x68641),x68643)),x68642))+P134(f327(f327(f227(x68641),f327(f83(x68641),x68642)),x68643)) % 153.71/153.55 [6866]~P76(x68661)+~P134(f327(f327(f227(x68661),f327(f79(x68661),x68662)),x68663))+P134(f327(f327(f227(x68661),f327(f83(x68661),x68662)),x68663)) % 153.71/153.55 [6873]~P134(f327(f327(f274(a1),x68731),x68733))+P134(f327(f327(f274(a1),x68731),x68732))+~P134(f327(f327(f274(a1),x68731),f327(f327(f3(a1),x68732),x68733))) % 153.71/153.55 [6906]~P134(f327(x69063,f779(x69062,x69061,x69063)))+P134(f327(f327(f228(a834),x69061),x69062))+P134(f327(x69063,f327(f327(f3(a834),x69061),x69062))) % 153.71/153.55 [6907]~P134(f327(x69073,f786(x69072,x69071,x69073)))+P134(f327(f327(f228(a834),x69071),x69072))+P134(f327(x69073,f327(f327(f3(a834),x69071),x69072))) % 153.71/153.55 [6955]~E(f651(x69553,x69552,x69551),f652(x69553,x69552,x69551))+E(f327(f327(f101(f841(x69551,a831)),x69552),f45(f841(x69551,a831),x69553)),f176(f841(x69551,a831)))+P134(f327(f327(f329(f841(x69551,a831)),x69552),x69553)) % 153.71/153.55 [6964]~P134(f327(f66(x69641),x69643))+P134(f327(f66(x69641),f46(f841(x69641,a831),x69642)))+~P134(f327(f327(f329(f841(x69641,a831)),x69643),x69642)) % 153.71/153.55 [7027]~P97(x70271)+E(f327(f327(f100(f841(x70271,a831)),f327(f289(x70271,x70272),x70273)),f327(f327(f297(x70271),x70273),f176(f841(x70271,a831)))),f290(x70271,x70272,x70273))+~P134(f327(f327(f227(x70271),x70272),x70273)) % 153.71/153.55 [7030]E(x70301,f2(a834))+P134(f327(f327(f228(a834),f783(x70301,x70303,x70302)),x70301))+P134(f327(x70302,f327(f327(f44(a834),x70303),x70301))) % 153.71/153.55 [7065]E(x70651,x70652)+~P134(f327(f327(f227(f841(x70653,a831)),x70651),x70652))+P134(f327(f327(f228(f841(x70653,a831)),x70651),x70652)) % 153.71/153.55 [7077]E(x70771,x70772)+~E(f327(f177(f835(x70773)),x70771),f327(f177(f835(x70773)),x70772))+P134(f327(f327(f228(a834),f713(x70773,x70771,x70772)),f327(f177(f835(x70773)),x70772))) % 153.71/153.55 [7123]P12(x71231,x71232,x71233)+~E(f327(f256(x71231,x71231),x71233),x71232)+~E(f327(f327(f276(x71231,x71231,x71231),f327(f273(x71231,x71231),x71233)),x71233),x71233) % 153.71/153.55 [7205]E(x72051,f2(a1))+~P134(f327(f327(f274(a1),x72052),x72053))+P134(f327(f327(f274(a1),f327(f327(f85(a1),x72051),x72052)),f327(f327(f85(a1),x72051),x72053))) % 153.71/153.55 [7209]~P134(f327(x72091,f2(a834)))+P134(f327(f327(f228(a834),f783(x72093,x72092,x72091)),x72093))+P134(f327(x72091,f327(f327(f44(a834),x72092),x72093))) % 153.71/153.55 [7222]~P97(x72221)+E(f327(f327(f100(f841(x72221,a831)),f293(x72221,x72222,x72223)),f327(f327(f297(x72221),x72223),f176(f841(x72221,a831)))),f292(x72221,x72222,x72223))+~P134(f327(f327(f228(x72221),x72222),x72223)) % 153.71/153.55 [7324]~P134(f327(f66(x73241),x73243))+P134(f327(f327(f228(a834),f327(f43(x73241),x73242)),f327(f43(x73241),x73243)))+~P134(f327(f327(f228(f841(x73241,a831)),x73242),x73243)) % 153.71/153.55 [7325]~P134(f327(f66(x73251),x73253))+P134(f327(f327(f227(a834),f327(f43(x73251),x73252)),f327(f43(x73251),x73253)))+~P134(f327(f327(f227(f841(x73251,a831)),x73252),x73253)) % 153.71/153.55 [7462]E(x74621,x74622)+~P134(f327(f327(f227(f841(x74623,a831)),x74622),x74621))+~P134(f327(f327(f227(f841(x74623,a831)),x74621),x74622)) % 153.71/153.55 [7465]~P97(x74651)+P18(x74651,x74652)+~P18(x74651,f327(f327(f134(x74651,x74651,f7(x74651)),x74653),x74652)) % 153.71/153.55 [7534]~P134(f327(f327(f228(a834),x75343),x75342))+~P134(f327(f327(f228(a834),x75343),x75341))+P134(f327(f327(f228(a834),f327(f327(f3(a834),x75341),x75342)),f327(f327(f3(a834),x75341),x75343))) % 153.71/153.55 [7535]~P134(f327(f327(f228(a834),x75351),x75353))+~P134(f327(f327(f227(a834),x75352),x75351))+P134(f327(f327(f228(a834),f327(f327(f3(a834),x75351),x75352)),f327(f327(f3(a834),x75353),x75352))) % 153.71/153.55 [7551]~P134(f327(f327(f228(a1),x75512),f2(a1)))+~P134(f327(f327(f227(a1),x75513),x75511))+P134(f327(f327(f227(a1),f327(f327(f44(a1),x75511),x75512)),f327(f327(f44(a1),x75513),x75512))) % 153.71/153.55 [7571]~P134(f327(f327(f228(a834),f2(a834)),x75712))+~P134(f327(f327(f228(a834),x75711),x75713))+P134(f327(f327(f228(a834),f327(f327(f85(a834),x75711),x75712)),f327(f327(f85(a834),x75713),x75712))) % 153.71/153.55 [7572]~P134(f327(f327(f228(a834),f2(a834)),x75721))+~P134(f327(f327(f228(a834),x75722),x75723))+P134(f327(f327(f228(a834),f327(f327(f85(a834),x75721),x75722)),f327(f327(f85(a834),x75721),x75723))) % 153.71/153.55 [7573]~P134(f327(f327(f228(a1),f2(a1)),x75731))+~P134(f327(f327(f228(a1),x75732),x75733))+P134(f327(f327(f228(a1),f327(f327(f85(a1),x75731),x75732)),f327(f327(f85(a1),x75731),x75733))) % 153.71/153.55 [7575]~P134(f327(f327(f228(a834),f2(a834)),x75753))+~P134(f327(f327(f227(a834),x75753),x75752))+P134(f327(f327(f227(a834),f327(f327(f44(a834),x75751),x75752)),f327(f327(f44(a834),x75751),x75753))) % 153.71/153.55 [7576]~P134(f327(f327(f228(a1),f2(a1)),x75762))+~P134(f327(f327(f227(a1),x75761),x75763))+P134(f327(f327(f227(a1),f327(f327(f44(a1),x75761),x75762)),f327(f327(f44(a1),x75763),x75762))) % 153.71/153.55 [7625]E(x76251,f2(a834))+E(f327(f327(f84(a834),f327(f327(f85(a834),x76251),f781(x76251,x76252,x76253))),f783(x76251,x76252,x76253)),x76252)+P134(f327(x76253,f327(f327(f44(a834),x76252),x76251))) % 153.71/153.55 [7682]E(f327(f327(f84(a834),f327(f327(f85(a834),x76821),f781(x76821,x76822,x76823))),f783(x76821,x76822,x76823)),x76822)+~P134(f327(x76823,f2(a834)))+P134(f327(x76823,f327(f327(f44(a834),x76822),x76821))) % 153.71/153.55 [7698]~P134(f327(f66(x76981),x76983))+P134(f327(f327(f329(x76981),f449(x76982,x76983,x76981)),x76983))+P134(f327(f327(f228(a834),f2(a834)),f327(f327(f11(x76981,a834),x76982),x76983))) % 153.71/153.55 [7699]~P134(f327(f66(x76991),x76993))+P134(f327(f327(f329(x76991),f545(x76992,x76993,x76991)),x76993))+P134(f327(f327(f228(a834),f2(a834)),f327(f327(f11(x76991,a834),x76992),x76993))) % 153.71/153.55 [7804]E(x78041,f2(a834))+P134(f327(f327(f274(a834),x78042),x78043))+~P134(f327(f327(f274(a834),f327(f327(f85(a834),x78041),x78042)),f327(f327(f85(a834),x78041),x78043))) % 153.71/153.55 [7806]E(x78061,f2(a1))+P134(f327(f327(f274(a1),x78062),x78063))+~P134(f327(f327(f274(a1),f327(f327(f85(a1),x78061),x78062)),f327(f327(f85(a1),x78061),x78063))) % 153.71/153.55 [7985]E(x79851,f176(f841(x79852,a831)))+E(x79851,f327(f327(f297(x79852),x79853),f176(f841(x79852,a831))))+~P134(f327(f327(f227(f841(x79852,a831)),x79851),f327(f327(f297(x79852),x79853),f176(f841(x79852,a831))))) % 153.71/153.55 [8021]~P134(f327(f327(f228(a834),f2(a834)),x80213))+P134(f327(f327(f228(a834),x80211),x80212))+~P134(f327(f327(f228(a834),f327(f327(f237(a834),x80213),x80211)),f327(f327(f237(a834),x80213),x80212))) % 153.71/153.55 [8023]~P134(f327(f327(f228(a834),f2(a834)),x80233))+P134(f327(f327(f227(a834),x80231),x80232))+~P134(f327(f327(f227(a834),f327(f327(f85(a834),x80233),x80231)),f327(f327(f85(a834),x80233),x80232))) % 153.71/153.55 [8024]~P134(f327(f327(f228(a834),f82(a834)),x80243))+P134(f327(f327(f227(a834),x80241),x80242))+~P134(f327(f327(f274(a834),f327(f327(f237(a834),x80243),x80241)),f327(f327(f237(a834),x80243),x80242))) % 153.71/153.55 [8025]~P134(f327(f327(f228(a834),f2(a834)),x80253))+P134(f327(f327(f227(a834),x80251),x80252))+~P134(f327(f327(f227(a834),f327(f327(f85(a834),x80251),x80253)),f327(f327(f85(a834),x80252),x80253))) % 153.71/153.55 [8027]~P134(f327(f327(f228(a834),f2(a834)),x80273))+P134(f327(f327(f274(a834),x80271),x80272))+~P134(f327(f327(f274(a834),f327(f327(f85(a834),x80273),x80271)),f327(f327(f85(a834),x80273),x80272))) % 153.71/153.55 [8064]~E(f327(f327(f101(f841(x80641,a831)),f652(x80643,x80642,x80641)),f651(x80643,x80642,x80641)),f176(f841(x80641,a831)))+E(f327(f327(f101(f841(x80641,a831)),x80642),f45(f841(x80641,a831),x80643)),f176(f841(x80641,a831)))+P134(f327(f327(f329(f841(x80641,a831)),x80642),x80643)) % 153.71/153.55 [8079]E(x80791,f112(x80792))+~E(f327(f128(f835(x80792),f835(x80792),f122(x80792),f112(x80792)),x80793),f112(x80792))+~P134(f327(f327(f329(f835(x80792)),x80791),f327(f154(f835(x80792)),x80793))) % 153.71/153.55 [8135]E(x81351,f176(f841(f841(x81352,a831),a831)))+P134(f327(f327(f329(f841(x81352,a831)),f649(x81353,x81351,x81352)),x81351))+P134(f327(f327(f227(f841(x81352,a831)),f46(f841(x81352,a831),x81351)),x81353)) % 153.71/153.55 [8141]~P65(x81411)+~P68(x81411)+E(f327(f327(f8(a1,x81411),f327(f327(f10(a834,x81411,a1),x81412),a104)),f327(f298(a834,a1,f99(a1)),x81413)),f327(f327(f8(a834,x81411),x81412),x81413)) % 153.71/153.55 [8142]~P65(x81421)+~P68(x81421)+E(f327(f327(f11(a1,x81421),f327(f327(f10(a834,x81421,a1),x81422),a104)),f327(f298(a834,a1,f99(a1)),x81423)),f327(f327(f11(a834,x81421),x81422),x81423)) % 153.71/153.55 [8181]~P134(f327(f66(x81811),x81813))+~P134(f327(f327(f228(a834),f2(a834)),f327(x81812,f449(x81812,x81813,x81811))))+P134(f327(f327(f228(a834),f2(a834)),f327(f327(f11(x81811,a834),x81812),x81813))) % 153.71/153.55 [8182]~P134(f327(f66(x81821),x81823))+~P134(f327(f327(f228(a834),f2(a834)),f327(x81822,f545(x81822,x81823,x81821))))+P134(f327(f327(f228(a834),f2(a834)),f327(f327(f11(x81821,a834),x81822),x81823))) % 153.71/153.55 [8215]~P59(x82152)+E(x82151,f82(x82152))+E(f327(f327(f278(x82152),f327(f327(f3(x82152),f327(f327(f237(x82152),x82151),x82153)),f82(x82152))),f327(f327(f3(x82152),x82151),f82(x82152))),f327(f327(f8(a834,x82152),f327(f237(x82152),x82151)),f327(f289(a834,f2(a834)),x82153))) % 153.71/153.55 [8273]E(x82731,f2(a834))+~P134(f327(x82733,f327(f327(f44(a834),x82732),x82731)))+P134(f327(f327(f228(a834),x82732),f327(f327(f85(a834),x82731),f327(a111,f776(x82731,x82732,x82733))))) % 153.71/153.55 [8292]P134(f327(x82921,f2(a834)))+~P134(f327(x82921,f327(f327(f44(a834),x82922),x82923)))+P134(f327(f327(f228(a834),x82922),f327(f327(f85(a834),x82923),f327(a111,f776(x82923,x82922,x82921))))) % 153.71/153.55 [8329]E(x83291,f2(a834))+~P134(f327(x83293,f327(f327(f44(a834),x83292),x83291)))+P134(f327(f327(f227(a834),f327(f327(f85(a834),x83291),f776(x83291,x83292,x83293))),x83292)) % 153.71/153.55 [8360]P134(f327(x83601,f2(a834)))+~P134(f327(x83601,f327(f327(f44(a834),x83603),x83602)))+P134(f327(f327(f227(a834),f327(f327(f85(a834),x83602),f776(x83602,x83603,x83601))),x83603)) % 153.71/153.55 [8363]~P97(x83631)+E(f327(f327(f134(x83631,x83631,f7(x83631)),x83632),x83633),f135(x83631,x83631,f7(x83631),x83632,x83633))+P134(f327(f327(f329(x83631),x83632),f327(f154(x83631),x83633))) % 153.71/153.55 [8400]~E(f327(x84003,f590(x84002,x84003,x84001)),f327(x84003,f592(x84002,x84003,x84001)))+~P56(x84001,f327(x84003,f591(x84002,x84003,x84001)))+P56(x84001,f327(f327(f47(x84002,f841(x84001,f841(x84001,a831))),f234(f841(x84002,a831))),x84003)) % 153.71/153.55 [8408]E(x84081,f176(f841(f841(x84082,a831),a831)))+~P134(f327(f327(f227(f841(x84082,a831)),f649(x84083,x84081,x84082)),x84083))+P134(f327(f327(f227(f841(x84082,a831)),f46(f841(x84082,a831),x84081)),x84083)) % 153.71/153.55 [8467]~P61(x84671)+~P134(f327(f327(f228(x84671),x84672),x84673))+P134(f327(f327(f228(x84671),x84672),f327(f327(f278(x84671),f327(f327(f84(x84671),x84672),x84673)),f327(f327(f84(x84671),f82(x84671)),f82(x84671))))) % 153.71/153.55 [8510]~P134(f327(f327(x85101,f805(x85101,x85103,x85102)),f806(x85101,x85103,x85102)))+P134(f327(f327(x85101,x85102),x85103))+~P134(f327(f316(f840(a1,a1),a60),f327(f327(f236(a1,a1),x85102),x85103))) % 153.71/153.55 [8511]~P134(f327(f327(x85111,f807(x85111,x85113,x85112)),f808(x85111,x85113,x85112)))+P134(f327(f327(x85111,x85112),x85113))+~P134(f327(f316(f840(a1,a1),a65),f327(f327(f236(a1,a1),x85112),x85113))) % 153.71/153.55 [8512]~P134(f327(f327(x85121,f811(x85121,x85123,x85122)),f812(x85121,x85123,x85122)))+P134(f327(f327(x85121,x85122),x85123))+~P134(f327(f316(f840(a1,a1),a211),f327(f327(f236(a1,a1),x85122),x85123))) % 153.71/153.55 [8513]~P134(f327(f327(x85131,f813(x85131,x85133,x85132)),f814(x85131,x85133,x85132)))+P134(f327(f327(x85131,x85132),x85133))+~P134(f327(f316(f840(a834,a834),a209),f327(f327(f236(a834,a834),x85132),x85133))) % 153.71/153.55 [8514]~P134(f327(f327(x85141,f380(x85141,x85143,x85142)),f383(x85141,x85143,x85142)))+P134(f327(f327(x85141,x85142),x85143))+~P134(f327(f316(f840(a1,a1),a164),f327(f327(f236(a1,a1),x85142),x85143))) % 153.71/153.55 [8747]P134(f327(f327(x87471,x87472),x87473))+P134(f327(f316(f840(a834,a834),a209),f327(f327(f236(a834,a834),f813(x87471,x87473,x87472)),f814(x87471,x87473,x87472))))+~P134(f327(f316(f840(a834,a834),a209),f327(f327(f236(a834,a834),x87472),x87473))) % 153.71/153.55 [8748]P134(f327(f327(x87481,x87482),x87483))+P134(f327(f316(f840(a1,a1),a60),f327(f327(f236(a1,a1),f805(x87481,x87483,x87482)),f806(x87481,x87483,x87482))))+~P134(f327(f316(f840(a1,a1),a60),f327(f327(f236(a1,a1),x87482),x87483))) % 153.71/153.55 [8749]P134(f327(f327(x87491,x87492),x87493))+P134(f327(f316(f840(a1,a1),a65),f327(f327(f236(a1,a1),f807(x87491,x87493,x87492)),f808(x87491,x87493,x87492))))+~P134(f327(f316(f840(a1,a1),a65),f327(f327(f236(a1,a1),x87492),x87493))) % 153.71/153.55 [8750]P134(f327(f327(x87501,x87502),x87503))+P134(f327(f316(f840(a1,a1),a211),f327(f327(f236(a1,a1),f811(x87501,x87503,x87502)),f812(x87501,x87503,x87502))))+~P134(f327(f316(f840(a1,a1),a211),f327(f327(f236(a1,a1),x87502),x87503))) % 153.71/153.55 [8751]P134(f327(f327(x87511,x87512),x87513))+P134(f327(f316(f840(a1,a1),a164),f327(f327(f236(a1,a1),f380(x87511,x87513,x87512)),f383(x87511,x87513,x87512))))+~P134(f327(f316(f840(a1,a1),a164),f327(f327(f236(a1,a1),x87512),x87513))) % 153.71/153.55 [9058]~P134(f327(f66(x90581),x90583))+P134(f327(f327(f329(f840(f841(x90581,a831),f841(x90581,a831))),f327(f327(f236(f841(x90581,a831),f841(x90581,a831)),x90582),x90583)),f294(x90581)))+~P134(f327(f327(f228(f841(x90581,a831)),x90582),x90583)) % 153.71/153.55 [9113]~P56(x91131,f327(x91133,f591(x91132,x91133,x91131)))+P56(x91131,f327(f327(f47(x91132,f841(x91131,f841(x91131,a831))),f234(f841(x91132,a831))),x91133))+~E(f327(f327(f101(f841(x91131,a831)),f241(x91131,x91131,f327(x91133,f590(x91132,x91133,x91131)))),f242(x91131,x91131,f327(x91133,f592(x91132,x91133,x91131)))),f176(f841(x91131,a831))) % 153.71/153.55 [9303]P45(x93031,x93032,x93033)+P134(f327(f327(f329(f840(x93031,x93031)),f579(x93033,x93032,x93031)),x93033))+~P134(f327(f327(f329(f840(x93031,x93031)),f327(f327(f236(x93031,x93031),f578(x93033,x93032,x93031)),f578(x93033,x93032,x93031))),x93033)) % 153.71/153.55 [9866]P45(x98661,x98662,x98663)+~P134(f327(f327(f246(x98661,x98661,a831),f327(f327(f9(x98661,f841(x98661,a831),f841(x98661,a831)),f327(f327(f10(f841(a831,a831),f841(f841(x98661,a831),f841(x98661,a831)),x98661),f10(a831,a831,x98661)),f327(f327(f10(a831,f841(a831,a831),x98661),a325),f327(f327(f9(x98661,f841(x98661,a831),a831),f329(x98661)),x98662)))),f327(f327(f9(x98661,f841(x98661,a831),a831),f329(x98661)),x98662))),f579(x98663,x98662,x98661)))+~P134(f327(f327(f329(f840(x98661,x98661)),f327(f327(f236(x98661,x98661),f578(x98663,x98662,x98661)),f578(x98663,x98662,x98661))),x98663)) % 153.71/153.55 [5481]~P7(x54812)+E(x54811,f2(x54812))+E(f327(f327(f44(x54812),f327(f327(f85(x54812),x54813),x54811)),x54811),x54813) % 153.71/153.55 [5482]~P7(x54822)+E(x54821,f2(x54822))+E(f327(f327(f44(x54822),f327(f327(f85(x54822),x54821),x54823)),x54821),x54823) % 153.71/153.55 [6147]~P7(x61471)+E(f327(f327(f85(x61471),f327(f327(f44(x61471),x61472),x61473)),x61473),x61472)+~P134(f327(f327(f274(x61471),x61473),x61472)) % 153.71/153.55 [6313]~P65(x63131)+~E(f327(x63132,f2(a834)),f2(x63131))+E(f327(f327(f8(a834,x63131),x63132),f327(f289(a834,f327(a111,f2(a834))),x63133)),f327(f327(f8(a834,x63131),x63132),f327(f289(a834,f2(a834)),x63133))) % 153.71/153.55 [6451]~P7(x64512)+E(x64511,f2(x64512))+E(f327(f327(f44(x64512),f327(f327(f84(x64512),x64513),x64511)),x64511),f327(f327(f84(x64512),f327(f327(f44(x64512),x64513),x64511)),f82(x64512))) % 153.71/153.55 [6452]~P7(x64522)+E(x64521,f2(x64522))+E(f327(f327(f44(x64522),f327(f327(f84(x64522),x64521),x64523)),x64521),f327(f327(f84(x64522),f327(f327(f44(x64522),x64523),x64521)),f82(x64522))) % 153.71/153.55 [6679]~P134(f327(x66793,f2(a1)))+P134(f327(f327(f227(a834),x66791),x66792))+P134(f327(x66793,f327(f99(a1),f327(f327(f3(a834),x66792),x66791)))) % 153.71/153.55 [6788]P134(f327(f327(f227(a834),x67882),x67881))+P134(f327(f327(f228(a834),x67881),x67882))+P134(f327(x67883,f327(f99(a1),f327(f327(f3(a834),x67881),x67882)))) % 153.71/153.55 [6859]E(f327(f327(f84(a834),f327(f103(a834),x68591)),f327(f327(f84(a834),f327(f103(a834),x68592)),x68593)),f327(f327(f84(a834),f327(f103(a834),x68591)),x68593))+P134(f327(a182,f327(f103(a1),x68591)))+~P134(f327(a182,f327(f103(a1),x68592))) % 153.71/153.55 [6941]~E(x69412,f327(f327(f44(a834),x69413),x69411))+~P134(f327(f327(f228(a834),f2(a834)),x69411))+P134(f327(f327(f227(a834),f327(f327(f85(a834),x69411),x69412)),x69413)) % 153.71/153.55 [7063]~P134(f327(f66(x70631),x70633))+~P134(f327(f66(x70631),x70632))+P134(f327(f66(x70631),f327(f327(f100(f841(x70631,a831)),x70632),x70633))) % 153.71/153.55 [7376]~P97(x73761)+~P134(f327(f66(x73761),x73762))+E(f126(x73761,f327(f327(f3(f841(x73761,a831)),x73762),f327(f327(f297(x73761),x73763),f176(f841(x73761,a831))))),f152(x73761,x73763,f126(x73761,x73762))) % 153.71/153.55 [7440]P134(f327(x74401,f2(a1)))+~P134(f327(f327(f228(a834),x74402),x74403))+~P134(f327(x74401,f327(f99(a1),f327(f327(f3(a834),x74402),x74403)))) % 153.71/153.55 [7459]~P134(f327(f66(x74591),x74592))+E(f327(f43(x74591),f327(f327(f3(f841(x74591,a831)),x74592),f327(f327(f297(x74591),x74593),f176(f841(x74591,a831))))),f327(f43(x74591),x74592))+P134(f327(f327(f329(x74591),x74593),x74592)) % 153.71/153.55 [7592]~P114(x75921)+~P134(f327(f327(f228(x75921),f82(x75921)),x75922))+P134(f327(f327(f228(x75921),f82(x75921)),f327(f327(f85(x75921),x75922),f327(f327(f237(x75921),x75922),x75923)))) % 153.71/153.55 [7635]~P134(f327(f66(x76351),x76353))+E(f327(f327(f3(a834),f327(f43(x76351),x76352)),f327(f43(x76351),x76353)),f327(f43(x76351),f327(f327(f3(f841(x76351,a831)),x76352),x76353)))+~P134(f327(f327(f227(f841(x76351,a831)),x76353),x76352)) % 153.71/153.55 [7690]~P134(f327(f327(f227(a834),x76902),x76903))+~P134(f327(f327(f227(a834),x76901),f327(f327(f3(a834),x76903),x76902)))+P134(f327(f327(f227(a834),f327(f327(f84(a834),x76901),x76902)),x76903)) % 153.71/153.55 [7746]P134(f327(f66(x77461),x77462))+~P134(f327(f66(x77461),x77463))+~P134(f327(f66(x77461),f327(f327(f3(f841(x77461,a831)),x77462),x77463))) % 153.71/153.55 [7753]~P134(f327(f66(x77531),x77532))+E(f327(f43(x77531),f327(f327(f3(f841(x77531,a831)),x77532),f327(f327(f297(x77531),x77533),f176(f841(x77531,a831))))),f327(f327(f3(a834),f327(f43(x77531),x77532)),f82(a834)))+~P134(f327(f327(f329(x77531),x77533),x77532)) % 153.71/153.55 [7829]P56(x78291,x78292)+~P56(x78291,x78293)+~P134(f327(f327(f227(f841(x78291,f841(x78291,a831))),x78292),x78293)) % 153.71/153.55 [7867]~P134(f327(f327(f227(a834),x78673),x78672))+P134(f327(f327(f227(a834),x78671),f327(f327(f3(a834),x78672),x78673)))+~P134(f327(f327(f227(a834),f327(f327(f84(a834),x78671),x78673)),x78672)) % 153.71/153.55 [7887]P33(x78871,x78872)+~P33(x78871,x78873)+~P134(f327(f327(f227(f841(f840(x78871,x78871),a831)),x78872),x78873)) % 153.71/153.55 [7888]P54(x78881,x78882)+~P54(x78881,x78883)+~P134(f327(f327(f227(f841(f840(x78881,x78881),a831)),x78882),x78883)) % 153.71/153.55 [8113]~P114(x81131)+~P134(f327(f327(f228(x81131),f82(x81131)),x81132))+P134(f327(f327(f228(x81131),f327(f327(f237(x81131),x81132),x81133)),f327(f327(f85(x81131),x81132),f327(f327(f237(x81131),x81132),x81133)))) % 153.71/153.55 [8199]~P134(f327(x81991,f2(a1)))+~P134(f327(x81991,f327(f327(f3(a1),f327(f99(a1),x81992)),f327(f99(a1),x81993))))+P134(f327(x81991,f327(f99(a1),f327(f327(f3(a834),x81992),x81993)))) % 153.71/153.55 [8212]~P134(f327(f327(f227(a834),x82123),x82122))+P134(f327(x82121,f327(f327(f3(a1),f327(f99(a1),x82122)),f327(f99(a1),x82123))))+~P134(f327(x82121,f327(f99(a1),f327(f327(f3(a834),x82122),x82123)))) % 153.71/153.55 [8229]P134(f327(f327(f228(a834),x82291),x82292))+~P134(f327(x82293,f327(f327(f3(a1),f327(f99(a1),x82291)),f327(f99(a1),x82292))))+P134(f327(x82293,f327(f99(a1),f327(f327(f3(a834),x82291),x82292)))) % 153.71/153.55 [8285]~P115(x82852)+E(x82851,f2(x82852))+P134(f327(f327(f228(x82852),f2(x82852)),f327(f327(f84(x82852),f327(f327(f85(x82852),x82853),x82853)),f327(f327(f85(x82852),x82851),x82851)))) % 153.71/153.55 [8286]~P115(x82862)+E(x82861,f2(x82862))+P134(f327(f327(f228(x82862),f2(x82862)),f327(f327(f84(x82862),f327(f327(f85(x82862),x82861),x82861)),f327(f327(f85(x82862),x82863),x82863)))) % 153.71/153.55 [8382]~P134(f327(f327(f228(a834),f2(a834)),x83821))+~P134(f327(f327(f228(a1),x83822),x83823))+P134(f327(f327(f228(a1),f327(f327(f85(a1),f327(f99(a1),x83821)),x83822)),f327(f327(f85(a1),f327(f99(a1),x83821)),x83823))) % 153.71/153.55 [8439]E(f327(f327(f101(f841(x84391,a831)),x84392),f45(f841(x84391,a831),x84393)),f176(f841(x84391,a831)))+P134(f327(f327(f329(f841(x84391,a831)),x84392),x84393))+P134(f327(f327(f329(f841(x84391,a831)),f652(x84393,x84392,x84391)),f327(f327(f297(f841(x84391,a831)),x84392),x84393))) % 153.71/153.55 [8440]E(f327(f327(f101(f841(x84401,a831)),x84402),f45(f841(x84401,a831),x84403)),f176(f841(x84401,a831)))+P134(f327(f327(f329(f841(x84401,a831)),x84402),x84403))+P134(f327(f327(f329(f841(x84401,a831)),f651(x84403,x84402,x84401)),f327(f327(f297(f841(x84401,a831)),x84402),x84403))) % 153.71/153.55 [8466]E(x84661,x84662)+~E(f327(f177(f835(x84663)),x84661),f327(f177(f835(x84663)),x84662))+P134(f327(f327(f329(f840(x84663,x84663)),f696(x84663,x84661,x84662)),f327(f154(f840(x84663,x84663)),f327(f327(f163(x84663,x84663),x84662),x84661)))) % 153.71/153.55 [8677]E(f295(x86771,x86772),f295(x86771,x86773))+~P134(f327(f327(f227(f841(f840(x86771,x86771),a831)),x86773),f295(x86771,x86772)))+~P134(f327(f327(f227(f841(f840(x86771,x86771),a831)),x86772),x86773)) % 153.71/153.55 [8730]~P45(x87301,f234(f841(x87301,a831)),x87303)+P134(f327(f327(f227(f841(f840(f835(x87301),f835(x87301)),a831)),f141(x87301,x87302)),f142(x87301,x87303)))+~P134(f327(f327(f227(f841(f840(x87301,x87301),a831)),x87302),x87303)) % 153.71/153.55 [8903]P33(x89031,x89032)+~P134(f327(f327(f329(x89031),x89033),f667(x89032,x89031)))+P134(f327(f327(f329(f840(x89031,x89031)),f327(f327(f236(x89031,x89031),f680(x89032,x89031,x89033)),x89033)),x89032)) % 153.71/153.55 [8942]~P134(f327(f66(x89421),x89422))+P134(f327(f66(f841(x89421,a831)),f327(f327(f62(x89421),x89422),x89423)))+~P134(f327(f327(f227(f841(f840(x89421,x89421),a831)),x89423),f327(f327(f243(x89421,x89421),x89422),f327(f18(f841(x89421,a831),x89421),x89422)))) % 153.71/153.55 [8972]P45(x89721,x89722,x89723)+P134(f327(f327(f329(x89721),f535(x89723,x89722,x89721)),x89722))+~P134(f327(f327(f227(f841(f840(x89721,x89721),a831)),x89723),f327(f327(f243(x89721,x89721),x89722),f327(f18(f841(x89721,a831),x89721),x89722)))) % 153.71/153.55 [8973]P45(x89731,x89732,x89733)+P134(f327(f327(f329(x89731),f547(x89732,x89733,x89731)),x89732))+~P134(f327(f327(f227(f841(f840(x89731,x89731),a831)),x89733),f327(f327(f243(x89731,x89731),x89732),f327(f18(f841(x89731,a831),x89731),x89732)))) % 153.71/153.55 [9006]~P61(x90061)+~P134(f327(f327(f228(x90061),x90062),x90063))+P134(f327(f327(f228(x90061),f327(f327(f278(x90061),f327(f327(f84(x90061),x90062),x90063)),f327(f327(f84(x90061),f82(x90061)),f82(x90061)))),x90063)) % 153.71/153.55 [9033]~P60(x90331)+P134(f327(f327(f227(x90331),x90332),x90333))+~P134(f327(f327(f227(x90331),f327(f327(f85(x90331),f780(x90333,x90332,x90331)),x90332)),x90333)) % 153.71/153.55 [9145]E(f327(f177(f835(f835(x91451))),f327(f123(f835(x91451),f327(f327(f10(a834,a831,f835(x91451)),f327(f228(a834),x91452)),f177(f835(x91451)))),f160(x91451,x91453))),f327(f177(f835(x91451)),f327(f327(f146(f835(x91451)),x91453),x91452)))+~P18(a834,f327(f151(a834),f327(f327(f138(f835(x91451),a834),f177(f835(x91451))),x91453)))+~P134(f327(f327(f228(a834),x91452),f327(f177(f835(f835(x91451))),x91453))) % 153.71/153.55 [9254]~P33(x92541,x92542)+P29(x92541,f327(f327(f236(f841(f840(x92541,x92541),a831),f841(f840(x92541,x92541),a831)),x92542),x92543))+~P134(f327(f327(f227(f841(f840(x92541,x92541),a831)),f327(f327(f276(x92541,x92541,x92541),x92542),x92543)),x92542)) % 153.71/153.55 [9260]E(f327(f327(f138(f835(x92601),x92601),f327(f327(f9(f835(x92601),a834,x92601),f146(x92601)),x92602)),f327(f123(f835(x92601),f327(f327(f10(a834,a831,f835(x92601)),f327(f228(a834),x92602)),f177(f835(x92601)))),f160(x92601,x92603))),f327(f327(f146(f835(x92601)),x92603),x92602))+~P18(a834,f327(f151(a834),f327(f327(f138(f835(x92601),a834),f177(f835(x92601))),x92603)))+~P134(f327(f327(f228(a834),x92602),f327(f177(f835(f835(x92601))),x92603))) % 153.71/153.55 [9388]P45(x93881,x93882,x93883)+~P134(f327(f327(f329(f840(x93881,x93881)),f327(f327(f236(x93881,x93881),f535(x93883,x93882,x93881)),f535(x93883,x93882,x93881))),x93883))+~P134(f327(f327(f227(f841(f840(x93881,x93881),a831)),x93883),f327(f327(f243(x93881,x93881),x93882),f327(f18(f841(x93881,a831),x93881),x93882)))) % 153.71/153.55 [9389]P45(x93891,x93892,x93893)+~P134(f327(f327(f329(f840(x93891,x93891)),f327(f327(f236(x93891,x93891),f547(x93892,x93893,x93891)),f547(x93892,x93893,x93891))),x93893))+~P134(f327(f327(f227(f841(f840(x93891,x93891),a831)),x93893),f327(f327(f243(x93891,x93891),x93892),f327(f18(f841(x93891,a831),x93891),x93892)))) % 153.71/153.55 [9550]~P130(x95501)+~P113(x95501)+E(f327(f327(f278(x95501),f327(f102(x95501),f327(f327(f77(f840(a1,a1),a1,x95502,f235(a1,a1)),f202(x95502)),x95503))),f327(f102(x95501),f327(f327(f77(f840(a1,a1),a1,x95502,f245(a1,a1)),f202(x95502)),x95503))),f212(x95502,x95501,x95503)) % 153.71/153.55 [9745]~E(x97453,f2(a834))+~E(f327(f177(f835(x97451)),f327(f327(f146(f835(x97451)),x97452),f751(x97453,x97451,x97452))),x97453)+E(f327(f327(f138(a834,f835(x97451)),f327(f327(f9(a834,f835(a834),f835(x97451)),f327(f327(f10(f841(a834,x97451),f841(f835(a834),f835(x97451)),a834),f138(a834,x97451)),f327(f9(a834,a834,x97451),f327(f327(f10(f835(x97451),f841(a834,x97451),a834),f146(x97451)),f327(f146(f835(x97451)),x97452))))),f126(a834,f327(f289(a834,f2(a834)),f327(f177(f835(f835(x97451))),x97452))))),f126(a834,f327(f289(a834,f2(a834)),x97453))),f160(x97451,x97452)) % 153.71/153.55 [9746]E(x97461,f112(f835(x97462)))+~E(f327(f177(f835(x97462)),f327(f327(f146(f835(x97462)),x97461),f751(x97463,x97462,x97461))),x97463)+E(f327(f327(f138(a834,f835(x97462)),f327(f327(f9(a834,f835(a834),f835(x97462)),f327(f327(f10(f841(a834,x97462),f841(f835(a834),f835(x97462)),a834),f138(a834,x97462)),f327(f9(a834,a834,x97462),f327(f327(f10(f835(x97462),f841(a834,x97462),a834),f146(x97462)),f327(f146(f835(x97462)),x97461))))),f126(a834,f327(f289(a834,f2(a834)),f327(f177(f835(f835(x97462))),x97461))))),f126(a834,f327(f289(a834,f2(a834)),x97463))),f160(x97462,x97461)) % 153.71/153.55 [9747]~E(x97473,f2(a834))+E(f327(f327(f138(a834,f835(x97471)),f327(f327(f9(a834,f835(a834),f835(x97471)),f327(f327(f10(f841(a834,x97471),f841(f835(a834),f835(x97471)),a834),f138(a834,x97471)),f327(f9(a834,a834,x97471),f327(f327(f10(f835(x97471),f841(a834,x97471),a834),f146(x97471)),f327(f146(f835(x97471)),x97472))))),f126(a834,f327(f289(a834,f2(a834)),f327(f177(f835(f835(x97471))),x97472))))),f126(a834,f327(f289(a834,f2(a834)),x97473))),f160(x97471,x97472))+P134(f327(f327(f228(a834),f751(x97473,x97471,x97472)),f327(f177(f835(f835(x97471))),x97472))) % 153.71/153.55 [9748]E(x97481,f112(f835(x97482)))+E(f327(f327(f138(a834,f835(x97482)),f327(f327(f9(a834,f835(a834),f835(x97482)),f327(f327(f10(f841(a834,x97482),f841(f835(a834),f835(x97482)),a834),f138(a834,x97482)),f327(f9(a834,a834,x97482),f327(f327(f10(f835(x97482),f841(a834,x97482),a834),f146(x97482)),f327(f146(f835(x97482)),x97481))))),f126(a834,f327(f289(a834,f2(a834)),f327(f177(f835(f835(x97482))),x97481))))),f126(a834,f327(f289(a834,f2(a834)),x97483))),f160(x97482,x97481))+P134(f327(f327(f228(a834),f751(x97483,x97482,x97481)),f327(f177(f835(f835(x97482))),x97481))) % 153.71/153.55 [7632]E(f327(f327(f84(a834),f327(f103(a834),x76321)),f327(f327(f84(a834),f327(f103(a834),x76322)),x76323)),f327(f327(f84(a834),f327(f103(a834),f327(f327(f84(a1),x76321),x76322))),x76323))+P134(f327(a182,f327(f103(a1),x76321)))+P134(f327(a182,f327(f103(a1),x76322))) % 153.71/153.55 [8373]~P134(f327(f66(x83731),x83732))+~P134(f327(f327(f329(x83731),x83733),x83732))+E(f327(a111,f327(f43(x83731),f327(f327(f3(f841(x83731,a831)),x83732),f327(f327(f297(x83731),x83733),f176(f841(x83731,a831)))))),f327(f43(x83731),x83732)) % 153.71/153.55 [8390]~P134(f327(f66(x83901),x83902))+~P134(f327(f327(f329(x83901),x83903),x83902))+E(f327(f327(f84(a834),f82(a834)),f327(f43(x83901),f327(f327(f3(f841(x83901,a831)),x83902),f327(f327(f297(x83901),x83903),f176(f841(x83901,a831)))))),f327(f43(x83901),x83902)) % 153.71/153.55 [8474]~P97(x84741)+~P134(f327(f66(x84741),x84743))+E(f327(f327(f134(x84741,x84741,f7(x84741)),x84742),f126(x84741,f327(f327(f3(f841(x84741,a831)),x84743),f327(f327(f297(x84741),x84742),f176(f841(x84741,a831)))))),f126(x84741,f327(f327(f297(x84741),x84742),x84743))) % 153.71/153.55 [8612]~P134(f327(f66(x86121),x86123))+~P134(f327(f66(x86121),x86122))+E(f327(f327(f84(a834),f327(f43(x86121),f327(f327(f100(f841(x86121,a831)),x86122),x86123))),f327(f43(x86121),f327(f327(f101(f841(x86121,a831)),x86122),x86123))),f327(f327(f84(a834),f327(f43(x86121),x86122)),f327(f43(x86121),x86123))) % 153.71/153.55 [9694]~P28(x96941,f841(f841(x96941,a831),a831),f327(f327(f9(x96941,f841(f840(x96941,x96941),a831),f841(f841(x96941,a831),a831)),f327(f327(f10(f841(x96941,a831),f841(f841(f840(x96941,x96941),a831),f841(f841(x96941,a831),a831)),x96941),f62(x96941)),f327(f327(f9(x96941,f841(x96941,a831),f841(x96941,a831)),f297(x96941)),f176(f841(x96941,a831))))),x96943),x96942)+~P134(f327(f66(x96941),x96942))+E(f327(f43(f841(x96941,a831)),f327(f327(f62(x96941),x96942),x96943)),f327(f43(x96941),x96942)) % 153.71/153.55 [7901]~P85(x79011)+P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x79013)))+E(f327(f327(f237(x79011),x79012),f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),x79013),x79013)),a96))),f82(x79011)) % 153.71/153.55 [9238]~P85(x92381)+~P134(f327(f327(f227(a1),f2(a1)),f327(f103(a1),x92383)))+E(f327(f327(f237(x92381),x92382),f327(f103(a834),f327(f327(f3(a1),f327(f327(f84(a1),x92383),x92383)),a96))),f327(f327(f90(x92381,x92381),f327(f327(f237(x92381),x92382),f327(f103(a834),x92383))),f327(f327(f20(x92381,x92381,x92381),f327(f327(f10(x92381,f841(x92381,x92381),x92381),f85(x92381)),f327(f85(x92381),x92382))),f7(x92381)))) % 153.71/153.55 [9602]~P134(f327(f124(x96021),x96023))+~P134(f327(f327(f329(x96021),x96022),f327(f154(x96021),x96023)))+E(f327(f327(f125(x96021),f327(f177(f835(x96021)),f158(x96021,f327(f327(f10(a831,a831,x96021),a323),f327(f327(f9(x96021,x96021,a831),a324),x96022)),f327(f151(x96021),x96023)))),f327(f151(x96021),x96023)),f327(f327(f136(x96021),x96022),f327(f151(x96021),f158(x96021,f327(f327(f10(a831,a831,x96021),a323),f327(f327(f9(x96021,x96021,a831),a324),x96022)),x96023)))) % 153.71/153.55 [9659]P134(f327(f327(f227(f841(f840(x96591,x96591),a831)),f295(x96591,x96592)),x96593))+~P134(f327(f327(f227(f841(f840(x96591,x96591),a831)),f295(x96591,f176(f841(f840(x96591,x96591),a831)))),x96593))+~P134(f327(f327(f227(f841(f840(x96591,x96591),a831)),f327(f327(f276(x96591,x96591,x96591),f327(f327(f101(f841(f840(x96591,x96591),a831)),f295(x96591,x96592)),x96593)),x96592)),x96593)) % 153.71/153.55 [9526]~P134(f327(f66(x95261),f327(f251(x95261),x95263)))+~P134(f327(f66(x95261),f327(f251(x95261),x95262)))+P134(f327(f66(x95261),f327(f251(x95261),f327(f327(f20(x95261,a831,a831),f327(f327(f10(a831,f841(a831,a831),x95261),a326),x95262)),x95263)))) % 153.71/153.55 [9812]P134(f327(f327(f227(f841(f840(x98121,x98121),a831)),f327(f327(f276(x98121,x98121,x98121),x98122),f295(x98121,x98122))),x98123))+~P134(f327(f327(f227(f841(f840(x98121,x98121),a831)),x98122),x98123))+~P134(f327(f327(f227(f841(f840(x98121,x98121),a831)),f327(f327(f276(x98121,x98121,x98121),f327(f327(f101(f841(f840(x98121,x98121),a831)),f327(f327(f276(x98121,x98121,x98121),x98122),f295(x98121,x98122))),x98123)),x98122)),x98123)) % 153.71/153.55 [9761]~P107(x97612)+E(x97611,f2(x97612))+~E(f327(f327(f84(x97612),f327(f327(f237(x97612),x97613),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x97612),x97611),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f2(x97612)) % 153.71/153.55 [9762]~P107(x97622)+E(x97621,f2(x97622))+~E(f327(f327(f84(x97622),f327(f327(f237(x97622),x97621),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x97622),x97623),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f2(x97622)) % 153.71/153.55 [9768]~P134(f327(f124(x97681),x97683))+~P134(f327(f327(f329(x97681),x97682),f327(f154(x97681),x97683)))+E(f327(f151(x97681),f327(f153(x97681),f327(f327(f125(x97681),f327(f177(f835(x97681)),f158(x97681,f327(f327(f10(a831,a831,x97681),a323),f327(f327(f9(x97681,x97681,a831),a324),x97682)),x97683))),x97683))),f158(x97681,f327(f327(f10(a831,a831,x97681),a323),f327(f327(f9(x97681,x97681,a831),a324),x97682)),f327(f151(x97681),x97683))) % 153.71/153.55 [9851]~P107(x98512)+E(x98511,f2(x98512))+P134(f327(f327(f228(x98512),f2(x98512)),f327(f327(f84(x98512),f327(f327(f237(x98512),x98513),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x98512),x98511),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))))) % 153.71/153.55 [9852]~P107(x98522)+E(x98521,f2(x98522))+P134(f327(f327(f228(x98522),f2(x98522)),f327(f327(f84(x98522),f327(f327(f237(x98522),x98521),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x98522),x98523),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))))) % 153.71/153.55 [9900]~P107(x99001)+P134(f327(f327(f227(x99001),f2(x99001)),x99002))+~P134(f327(f327(f227(x99001),f2(x99001)),f327(f327(f237(x99001),x99002),f327(a111,f327(f327(f85(a834),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),x99003))))) % 153.71/153.55 [5113]~P36(x51133,x51134,x51131)+E(x51131,x51132)+~P36(x51133,x51134,x51132) % 153.71/153.55 [4795]~E(x47952,f94(x47953,x47951))+P134(f327(x47951,x47952))+~P134(f327(x47951,x47954)) % 153.71/153.55 [4854]~E(x48544,x48542)+P36(f35(x48541,x48543),x48542,x48544)+P134(f327(x48541,x48542)) % 153.71/153.55 [5045]E(x50451,x50452)+~P36(f35(x50453,x50454),x50451,x50452)+P134(f327(x50453,x50451)) % 153.71/153.55 [5614]~P36(x56142,x56143,x56144)+~P36(f35(x56141,x56142),x56144,x56143)+P36(f35(x56141,x56142),x56143,x56143) % 153.71/153.55 [6585]~P33(x65852,x65854)+~P33(x65851,x65853)+P33(f840(x65851,x65852),f321(x65851,x65852,x65853,x65854)) % 153.71/153.55 [6880]E(x68801,x68802)+~P36(f35(x68804,x68803),x68801,x68802)+P36(x68803,x68801,f430(x68802,x68801,x68803,x68804)) % 153.71/153.55 [6881]E(x68811,x68812)+~P36(f35(x68814,x68813),x68811,x68812)+P36(x68813,x68811,f434(x68812,x68811,x68813,x68814)) % 153.71/153.55 [6951]E(x69511,x69512)+P36(f35(x69513,x69514),f430(x69511,x69512,x69514,x69513),x69511)+~P36(f35(x69513,x69514),x69512,x69511) % 153.71/153.55 [6952]E(x69521,x69522)+P36(f35(x69523,x69524),f434(x69521,x69522,x69524,x69523),x69521)+~P36(f35(x69523,x69524),x69522,x69521) % 153.71/153.55 [6998]~P36(f35(x69984,x69981),x69982,x69983)+P36(x69981,x69982,f430(x69983,x69982,x69981,x69984))+~P134(f327(x69984,x69982)) % 153.71/153.55 [6999]~P36(f35(x69994,x69991),x69992,x69993)+P36(x69991,x69992,f434(x69993,x69992,x69991,x69994))+~P134(f327(x69994,x69992)) % 153.71/153.55 [7071]~P36(f35(x70711,x70712),x70714,x70713)+P36(f35(x70711,x70712),f430(x70713,x70714,x70712,x70711),x70713)+~P134(f327(x70711,x70714)) % 153.71/153.55 [7072]~P36(f35(x70721,x70722),x70724,x70723)+P36(f35(x70721,x70722),f434(x70723,x70724,x70722,x70721),x70723)+~P134(f327(x70721,x70724)) % 153.71/153.55 [7969]~P38(f35(x79694,x79691),x79692,x79693,x79692)+P38(x79691,x79692,x79693,f405(x79693,x79692,x79691,x79694))+~P134(f327(x79694,x79692)) % 153.71/153.55 [7994]~P38(f35(x79941,x79942),x79944,x79943,x79944)+P38(f35(x79941,x79942),f405(x79943,x79944,x79942,x79941),x79943,x79944)+~P134(f327(x79941,x79944)) % 153.71/153.55 [4978]~P11(x49784,x49781)+~E(f327(x49781,x49782),f327(x49781,x49783))+P134(f327(f327(x49781,x49782),x49783)) % 153.71/153.55 [5138]~P11(x51384,x51381)+E(f327(x51381,x51382),f327(x51381,x51383))+~P134(f327(f327(x51381,x51382),x51383)) % 153.71/153.55 [5226]~P22(x52263,x52264,x52261)+E(f327(x52261,x52262),f327(f68(x52263,x52264),x52262))+~P134(f327(f66(x52263),x52262)) % 153.71/153.55 [5227]~P14(x52273,x52274,x52271)+E(f327(x52271,x52272),f327(f68(x52273,x52274),x52272))+~P134(f327(f66(x52273),x52272)) % 153.71/153.55 [5356]~P11(x53564,x53561)+~P134(f327(f327(x53561,x53563),x53562))+P134(f327(f327(x53561,x53562),x53563)) % 153.71/153.55 [5422]E(x54221,x54222)+~E(f327(f235(x54223,x54224),x54221),f327(f235(x54223,x54224),x54222))+~E(f327(f245(x54223,x54224),x54221),f327(f245(x54223,x54224),x54222)) % 153.71/153.55 [5448]E(x54481,x54482)+~P134(f327(f56(x54483,x54484),x54482))+~P134(f327(f56(x54483,x54484),x54481)) % 153.71/153.55 [5655]~P65(x56552)+E(f220(x56551,x56552,x56553,x56554),f2(x56552))+P134(f327(f66(x56551),x56554)) % 153.71/153.55 [5799]~P134(f327(f316(x57991,x57992),x57994))+P134(f327(f316(x57991,x57992),x57993))+~P134(f327(f327(x57992,x57993),x57994)) % 153.71/153.55 [8038]~P134(f327(f66(x80382),x80384))+~P134(f327(f66(x80381),x80383))+P134(f327(f66(f842(x80381,x80382)),f309(x80381,x80382,x80383,x80384))) % 153.71/153.55 [8042]P134(f327(f327(f329(f835(x80421)),f327(f327(f122(x80421),x80422),x80423)),f144(x80421,x80424)))+~P134(f327(f327(f329(f835(x80421)),x80423),f144(x80421,x80424)))+~P134(f327(f327(f329(f835(x80421)),x80422),f144(x80421,x80424))) % 153.71/153.55 [8602]~P134(f327(f327(f329(f840(x86021,x86021)),f327(f327(f236(x86021,x86021),x86022),x86024)),f295(x86021,x86023)))+P134(f327(f327(f329(x86021),x86022),f317(x86021,x86023)))+~P134(f327(f327(f329(x86021),x86024),f317(x86021,x86023))) % 153.71/153.55 [4962]~P65(x49622)+E(f327(f327(f8(x49621,x49622),x49623),x49624),f2(x49622))+P134(f327(f66(x49621),x49624)) % 153.71/153.55 [4965]~P68(x49652)+E(f327(f327(f11(x49651,x49652),x49653),x49654),f82(x49652))+P134(f327(f66(x49651),x49654)) % 153.71/153.55 [5107]~P3(x51073)+E(x51071,x51072)+~E(f327(f327(f84(x51073),x51074),x51071),f327(f327(f84(x51073),x51074),x51072)) % 153.71/153.55 [5108]~P4(x51083)+E(x51081,x51082)+~E(f327(f327(f84(x51083),x51084),x51081),f327(f327(f84(x51083),x51084),x51082)) % 153.71/153.55 [5110]~P3(x51103)+E(x51101,x51102)+~E(f327(f327(f84(x51103),x51101),x51104),f327(f327(f84(x51103),x51102),x51104)) % 153.71/153.55 [5196]~P109(x51961)+~E(x51963,f327(f327(f85(x51961),x51962),x51964))+P134(f327(f327(f274(x51961),x51962),x51963)) % 153.71/153.55 [5221]~P9(x52213)+E(x52211,f176(f841(x52212,a831)))+E(f327(f327(f47(x52212,x52213),x52211),f327(f18(x52213,x52212),x52214)),x52214) % 153.71/153.55 [5222]~P9(x52223)+E(x52221,f176(f841(x52222,a831)))+E(f327(f327(f48(x52222,x52223),x52221),f327(f18(x52223,x52222),x52224)),x52224) % 153.71/153.55 [5436]~P96(x54363)+E(x54361,x54362)+~E(f290(x54363,x54364,x54361),f327(f327(f297(x54363),x54362),f176(f841(x54363,a831)))) % 153.71/153.55 [5437]~P96(x54373)+E(x54371,x54372)+~E(f290(x54373,x54371,x54372),f327(f327(f297(x54373),x54374),f176(f841(x54373,a831)))) % 153.71/153.55 [5757]P134(f327(x57571,x57572))+~P134(f327(f240(x57573,x57571),x57574))+~P134(f327(f327(f329(x57573),x57572),x57574)) % 153.71/153.55 [5874]~P65(x58741)+E(f327(f327(f8(a834,x58741),x58742),f327(f289(a834,x58743),f327(a111,x58744))),f2(x58741))+~P134(f327(f327(f228(a834),x58744),x58743)) % 153.71/153.55 [5882]~P8(x58821)+~E(f53(x58821,x58822,x58823),f53(x58821,x58824,x58823))+E(f53(x58821,f327(f83(x58821),x58822),x58823),f53(x58821,f327(f83(x58821),x58824),x58823)) % 153.71/153.55 [5948]P134(f327(x59481,x59482))+~E(f327(f123(x59483,x59481),x59484),x59484)+~P134(f327(f327(f329(x59483),x59482),f327(f154(x59483),x59484))) % 153.71/153.55 [5967]~E(f327(f327(f84(a834),x59673),x59672),f327(f327(f84(a834),x59671),x59674))+~P134(f327(f327(f228(a834),x59673),x59674))+P134(f327(f327(f228(a834),x59671),x59672)) % 153.71/153.55 [5974]~P7(x59741)+E(f53(x59741,f53(x59741,x59742,x59743),x59744),f53(x59741,x59742,x59744))+~P134(f327(f327(f274(x59741),x59744),x59743)) % 153.71/153.55 [6012]~E(f327(f123(x60121,x60122),x60123),f112(x60121))+~P134(f327(x60122,x60124))+~P134(f327(f327(f329(x60121),x60124),f327(f154(x60121),x60123))) % 153.71/153.55 [6013]~E(f158(x60133,x60131,x60134),x60134)+P134(f327(x60131,x60132))+~P134(f327(f327(f329(x60133),x60132),f327(f154(x60133),x60134))) % 153.71/153.55 [6048]~E(x60484,f176(f841(x60482,a831)))+~E(x60483,f176(f841(x60481,a831)))+E(f309(x60481,x60482,x60483,x60484),f176(f841(f842(x60481,x60482),a831))) % 153.71/153.55 [6481]~P65(x64811)+E(f327(f327(f8(a834,x64811),x64812),f290(a834,x64813,f327(a111,x64814))),f2(x64811))+~P134(f327(f327(f228(a834),f327(a111,x64814)),x64813)) % 153.71/153.55 [6628]~P97(x66281)+E(f327(f327(f3(f841(x66281,a831)),f327(f289(x66281,x66282),x66283)),f327(f289(x66281,x66282),x66284)),f327(f289(x66281,x66284),x66283))+~P134(f327(f327(f227(x66281),x66282),x66284)) % 153.71/153.55 [6991]~P134(f327(f327(f329(f835(x69911)),x69914),f144(x69911,x69913)))+P134(f327(f327(f329(x69911),x69912),x69913))+~P134(f327(f327(f329(x69911),x69912),f327(f154(x69911),x69914))) % 153.71/153.55 [7000]~P33(x70001,x70002)+P134(f327(f327(f329(x70001),f669(x70002,x70001,x70003)),x70003))+~P134(f327(f327(f329(x70001),x70004),x70003)) % 153.71/153.55 [7057]~P65(x70571)+E(f327(f327(f327(f70(x70571,x70572,f84(x70571)),x70573),f2(x70571)),x70574),f327(f327(f8(x70572,x70571),x70573),x70574))+~P134(f327(f66(x70572),x70574)) % 153.71/153.55 [7059]~P68(x70591)+E(f327(f327(f327(f70(x70591,x70592,f85(x70591)),x70593),f82(x70591)),x70594),f327(f327(f11(x70592,x70591),x70593),x70594))+~P134(f327(f66(x70592),x70594)) % 153.71/153.55 [7086]P28(x70861,x70862,x70863,x70864)+~E(f327(f43(x70862),f327(f298(x70861,x70862,x70863),x70864)),f327(f43(x70861),x70864))+~P134(f327(f66(x70861),x70864)) % 153.71/153.55 [7290]~P65(x72901)+E(f327(f327(f84(x72901),f327(x72902,x72903)),f327(f327(f8(a834,x72901),x72902),f292(a834,x72903,x72904))),f327(f327(f8(a834,x72901),x72902),f290(a834,x72903,x72904)))+~P134(f327(f327(f227(a834),x72903),x72904)) % 153.71/153.55 [7299]~P65(x72991)+~P28(x72992,x72991,x72993,x72994)+E(f327(f327(f8(x72991,x72991),f39(x72991)),f327(f298(x72992,x72991,x72993),x72994)),f327(f327(f8(x72992,x72991),x72993),x72994)) % 153.71/153.55 [7300]~P68(x73001)+~P28(x73002,x73001,x73003,x73004)+E(f327(f327(f11(x73001,x73001),f39(x73001)),f327(f298(x73002,x73001,x73003),x73004)),f327(f327(f11(x73002,x73001),x73003),x73004)) % 153.71/153.55 [7358]E(f327(f43(f842(x73581,x73582)),f309(x73581,x73582,x73583,x73584)),f327(f327(f84(a834),f327(f43(x73581),x73583)),f327(f43(x73582),x73584)))+~P134(f327(f66(x73582),x73584))+~P134(f327(f66(x73581),x73583)) % 153.71/153.55 [7441]E(x74411,x74412)+P134(f327(f327(f329(x74413),x74411),f327(f154(x74413),f152(x74413,x74412,x74414))))+~P134(f327(f327(f329(x74413),x74411),f327(f154(x74413),x74414))) % 153.71/153.55 [7668]~P65(x76681)+E(f327(f327(f84(x76681),f327(f327(f8(a834,x76681),x76682),f327(f289(a834,x76683),x76684))),f327(x76682,x76684)),f327(f327(f8(a834,x76681),x76682),f327(f289(a834,x76683),f327(a111,x76684))))+P134(f327(f327(f228(a834),x76684),x76683)) % 153.71/153.55 [7722]~P28(x77221,x77222,x77223,f234(f841(x77221,a831)))+~P134(f327(f66(x77222),x77224))+P134(f327(f66(x77221),f327(f300(x77221,x77222,x77223),x77224))) % 153.71/153.55 [7837]P134(f327(f327(f329(f835(x78371)),f327(f327(f136(x78371),x78372),x78373)),f144(x78371,x78374)))+~P134(f327(f327(f329(f835(x78371)),x78373),f144(x78371,x78374)))+~P134(f327(f327(f329(x78371),x78372),x78374)) % 153.71/153.55 [7925]~E(f327(f298(x79253,x79251,x79254),f234(f841(x79253,a831))),f234(f841(x79251,a831)))+P134(f327(f66(x79251),x79252))+~P134(f327(f66(x79253),f327(f300(x79253,x79251,x79254),x79252))) % 153.71/153.55 [8010]~P28(x80101,x80103,x80104,x80102)+P134(f327(f66(x80101),x80102))+~P134(f327(f66(x80103),f327(f298(x80101,x80103,x80104),x80102))) % 153.71/153.55 [8033]~E(x80332,x80333)+P134(f327(f327(f329(f840(x80331,x80331)),f327(f327(f236(x80331,x80331),x80332),x80333)),f255(x80331,x80334)))+~P134(f327(f327(f329(x80331),x80332),x80334)) % 153.71/153.55 [8065]~P65(x80651)+E(f327(f327(f84(x80651),f327(f327(f8(a834,x80651),x80652),f290(a834,x80653,x80654))),f327(x80652,f327(a111,x80654))),f327(f327(f8(a834,x80651),x80652),f290(a834,x80653,f327(a111,x80654))))+P134(f327(f327(f228(a834),f327(a111,x80654)),x80653)) % 153.71/153.55 [8127]P134(f327(x81271,x81272))+~P134(f327(x81271,f327(f327(f146(x81273),x81274),f707(x81271,x81274,x81273))))+~P134(f327(f327(f329(x81273),x81272),f327(f154(x81273),x81274))) % 153.71/153.55 [8260]~P134(f327(f327(f329(x82601),x82602),f317(x82601,x82604)))+P134(f327(f327(f329(f835(x82601)),f327(f327(f136(x82601),x82602),x82603)),f317(f835(x82601),f141(x82601,x82604))))+~P134(f327(f327(f329(f835(x82601)),x82603),f317(f835(x82601),f141(x82601,x82604)))) % 153.71/153.55 [8276]~P28(x82762,x82763,x82764,f650(x82764,x82763,x82762,x82761))+P28(x82762,x82763,x82764,f46(f841(x82762,a831),x82761))+E(x82761,f176(f841(f841(x82762,a831),a831))) % 153.71/153.55 [8524]E(x85241,x85242)+~P134(f327(f327(f329(f840(x85243,x85243)),f327(f327(f236(x85243,x85243),x85241),x85242)),f295(x85243,x85244)))+P134(f327(f327(f329(x85243),x85241),f327(f256(x85243,x85243),x85244))) % 153.71/153.55 [8770]P28(x87702,x87703,x87704,f46(f841(x87702,a831),x87701))+E(x87701,f176(f841(f841(x87702,a831),a831)))+P134(f327(f327(f329(f841(x87702,a831)),f650(x87704,x87703,x87702,x87701)),x87701)) % 153.71/153.55 [8894]P134(f327(f66(x88941),x88942))+~P134(f327(f66(x88944),f327(f298(x88941,x88944,x88943),x88942)))+P134(f327(f327(f329(x88941),f580(x88943,x88944,x88942,x88941)),x88942)) % 153.71/153.55 [8985]~P9(x89852)+E(f327(f327(f69(x89851,x89852,f327(f327(f10(x89852,f841(x89852,x89852),x89851),f100(x89852)),x89853)),f176(x89852)),x89854),f327(f327(f47(x89851,x89852),x89854),x89853))+~P134(f327(f66(x89851),x89854)) % 153.71/153.55 [8986]~P9(x89862)+E(f327(f327(f69(x89861,x89862,f327(f327(f10(x89862,f841(x89862,x89862),x89861),f101(x89862)),x89863)),f234(x89862)),x89864),f327(f327(f48(x89861,x89862),x89864),x89863))+~P134(f327(f66(x89861),x89864)) % 153.71/153.55 [9012]~P134(f327(f327(f274(a834),x90123),x90124))+P134(f327(f327(f274(a834),x90121),x90122))+P134(f327(f327(f228(f841(a834,a831)),f277(a834,f274(a834),x90121,x90122)),f277(a834,f274(a834),x90123,x90124))) % 153.71/153.55 [9023]~P134(f327(f327(f274(a834),x90232),x90234))+~P134(f327(f327(f274(a834),x90233),x90231))+P134(f327(f327(f227(f841(a834,a831)),f277(a834,f274(a834),x90231,x90232)),f277(a834,f274(a834),x90233,x90234))) % 153.71/153.55 [9081]E(x90811,x90812)+~P134(f327(f327(f329(f840(x90813,x90813)),f327(f327(f236(x90813,x90813),x90811),x90812)),f295(x90813,x90814)))+P134(f327(f327(f329(f840(x90813,x90813)),f327(f327(f236(x90813,x90813),x90811),x90812)),f327(f327(f276(x90813,x90813,x90813),x90814),f295(x90813,x90814)))) % 153.71/153.55 [9114]~E(f327(f177(f835(x91141)),x91142),f327(f177(f835(x91141)),x91143))+~P134(f327(f327(f329(f840(f835(x91141),f835(x91141))),f327(f327(f236(f835(x91141),f835(x91141)),x91142),x91143)),f133(x91141,x91144)))+P134(f327(f327(f329(f840(f835(x91141),f835(x91141))),f327(f327(f236(f835(x91141),f835(x91141)),x91142),x91143)),f131(x91141,x91144))) % 153.71/153.55 [9225]P134(f327(f327(f274(a834),x92251),x92252))+~P134(f327(f327(f274(a834),x92253),x92251))+~P134(f327(f327(f228(f841(a834,a831)),f277(a834,f274(a834),x92253,x92251)),f277(a834,f274(a834),x92254,x92252))) % 153.71/153.55 [9226]P134(f327(f327(f274(a834),x92261),x92262))+~P134(f327(f327(f274(a834),x92263),x92261))+~P134(f327(f327(f227(f841(a834,a831)),f277(a834,f274(a834),x92263,x92261)),f277(a834,f274(a834),x92264,x92262))) % 153.71/153.55 [9227]P134(f327(f327(f274(a834),x92271),x92272))+~P134(f327(f327(f274(a834),x92272),x92273))+~P134(f327(f327(f228(f841(a834,a831)),f277(a834,f274(a834),x92272,x92273)),f277(a834,f274(a834),x92271,x92274))) % 153.71/153.55 [9228]P134(f327(f327(f274(a834),x92281),x92282))+~P134(f327(f327(f274(a834),x92282),x92283))+~P134(f327(f327(f227(f841(a834,a831)),f277(a834,f274(a834),x92282,x92283)),f277(a834,f274(a834),x92281,x92284))) % 153.71/153.55 [9529]~P6(x95291)+E(f327(f327(f8(a834,x95291),f327(f327(f20(a834,x95291,x95291),f327(f327(f10(x95291,f841(x95291,x95291),a834),f3(x95291)),x95292)),f327(f327(f10(a834,x95291,a834),x95292),f327(f327(f9(a834,a834,a834),f84(a834)),f82(a834))))),f290(a834,x95293,x95294)),f2(x95291))+P134(f327(f327(f227(a834),x95293),x95294)) % 153.71/153.55 [9759]~P33(x97592,x97594)+~P28(x97592,x97591,x97593,f234(f841(x97592,a831)))+P33(x97591,f327(f298(f840(x97592,x97592),f840(x97591,x97591),f247(x97592,x97591,x97592,x97591,x97593,x97593)),x97594)) % 153.71/153.55 [9928]~E(f327(f177(f835(x99281)),x99283),f327(f177(f835(x99281)),x99282))+P134(f327(f327(f329(f840(f835(x99281),f835(x99281))),f327(f327(f236(f835(x99281),f835(x99281)),x99282),x99283)),f142(x99281,x99284)))+~P134(f327(f327(f246(x99281,x99281,a831),f327(f327(f9(x99281,f841(f840(x99281,x99281),a831),f841(x99281,a831)),f327(f327(f10(f841(x99281,f841(f841(f840(x99281,x99281),a831),a831)),f841(f841(f840(x99281,x99281),a831),f841(x99281,a831)),x99281),f9(x99281,f841(f840(x99281,x99281),a831),a831)),f327(f327(f10(f841(x99281,f840(x99281,x99281)),f841(x99281,f841(f841(f840(x99281,x99281),a831),a831)),x99281),f327(f10(f840(x99281,x99281),f841(f841(f840(x99281,x99281),a831),a831),x99281),f329(f840(x99281,x99281)))),f236(x99281,x99281)))),x99284)),f699(x99284,x99283,x99282,x99281))) % 153.71/153.55 [5932]~P7(x59321)+~E(x59322,f2(x59321))+E(f327(f327(f44(x59321),f327(f327(f85(x59321),x59322),x59323)),f327(f327(f85(x59321),x59322),x59324)),f2(x59321)) % 153.71/153.55 [5971]E(x59711,f112(x59712))+E(x59713,f327(f327(f3(a834),f327(f177(f835(x59712)),x59711)),f82(a834)))+E(f130(x59712,f327(f327(f143(x59712,x59711),x59713),x59714)),f130(x59712,x59711)) % 153.71/153.55 [6003]E(x60031,x60032)+P134(f327(x60033,x60032))+~P134(f327(f327(f327(f297(x60034),x60031),x60033),x60032)) % 153.71/153.55 [6017]~P65(x60171)+~P134(f327(f124(x60172),x60174))+E(f327(f148(x60171),f327(f327(f138(x60172,x60171),x60173),x60174)),f327(f327(f8(x60172,x60171),x60173),f327(f154(x60172),x60174))) % 153.71/153.55 [6041]~P68(x60412)+~P134(f327(f66(x60411),x60414))+E(f327(f327(f11(x60411,x60412),f327(f18(x60412,x60411),x60413)),x60414),f327(f327(f237(x60412),x60413),f327(f43(x60411),x60414))) % 153.71/153.55 [6098]~P7(x60982)+E(x60981,f2(x60982))+E(f327(f327(f44(x60982),f327(f327(f85(x60982),x60983),x60981)),f327(f327(f85(x60982),x60984),x60981)),f327(f327(f44(x60982),x60983),x60984)) % 153.71/153.55 [6100]~P58(x61002)+E(x61001,f2(x61002))+E(f327(f327(f278(x61002),f327(f327(f85(x61002),x61003),x61001)),f327(f327(f85(x61002),x61004),x61001)),f327(f327(f278(x61002),x61003),x61004)) % 153.71/153.55 [6101]~P58(x61012)+E(x61011,f2(x61012))+E(f327(f327(f278(x61012),f327(f327(f85(x61012),x61011),x61013)),f327(f327(f85(x61012),x61011),x61014)),f327(f327(f278(x61012),x61013),x61014)) % 153.71/153.55 [6102]~P7(x61022)+E(x61021,f2(x61022))+E(f327(f327(f44(x61022),f327(f327(f85(x61022),x61021),x61023)),f327(f327(f85(x61022),x61021),x61024)),f327(f327(f44(x61022),x61023),x61024)) % 153.71/153.55 [6168]P134(f327(x61681,x61682))+~E(x61683,f327(f327(f84(a834),x61684),x61682))+~P134(f327(x61681,f327(f327(f3(a834),x61683),x61684))) % 153.71/153.55 [6297]E(x62971,f112(x62972))+~E(x62973,f327(f327(f3(a834),f327(f177(f835(x62972)),x62971)),f82(a834)))+E(f130(x62972,f327(f327(f143(x62972,x62971),x62973),x62974)),x62974) % 153.71/153.55 [6320]~P97(x63201)+~P134(f327(f327(f228(x63201),x63202),x63204))+P134(f327(f327(f228(x63201),x63202),f327(f327(f175(x63201),x63203),x63204))) % 153.71/153.55 [6322]~P97(x63221)+~P134(f327(f327(f228(x63221),x63222),x63223))+P134(f327(f327(f228(x63221),x63222),f327(f327(f175(x63221),x63223),x63224))) % 153.71/153.55 [6323]~P94(x63231)+~P134(f327(f327(f228(x63231),x63232),x63234))+P134(f327(f327(f228(x63231),x63232),f327(f327(f100(x63231),x63233),x63234))) % 153.71/153.55 [6324]~P94(x63241)+~P134(f327(f327(f228(x63241),x63242),x63243))+P134(f327(f327(f228(x63241),x63242),f327(f327(f100(x63241),x63243),x63244))) % 153.71/153.55 [6326]~P97(x63261)+~P134(f327(f327(f227(x63261),x63262),x63264))+P134(f327(f327(f227(x63261),x63262),f327(f327(f175(x63261),x63263),x63264))) % 153.71/153.55 [6328]~P97(x63281)+~P134(f327(f327(f227(x63281),x63282),x63283))+P134(f327(f327(f227(x63281),x63282),f327(f327(f175(x63281),x63283),x63284))) % 153.71/153.55 [6329]~P94(x63291)+~P134(f327(f327(f227(x63291),x63292),x63294))+P134(f327(f327(f227(x63291),x63292),f327(f327(f100(x63291),x63293),x63294))) % 153.71/153.55 [6330]~P94(x63301)+~P134(f327(f327(f227(x63301),x63302),x63303))+P134(f327(f327(f227(x63301),x63302),f327(f327(f100(x63301),x63303),x63304))) % 153.71/153.55 [6331]~P82(x63311)+~P134(f327(f327(f274(x63311),x63312),x63314))+P134(f327(f327(f274(x63311),x63312),f327(f327(f85(x63311),x63313),x63314))) % 153.71/153.55 [6332]~P82(x63321)+~P134(f327(f327(f274(x63321),x63322),x63323))+P134(f327(f327(f274(x63321),x63322),f327(f327(f85(x63321),x63323),x63324))) % 153.71/153.55 [6426]~E(f327(f327(f146(x64261),x64262),x64263),x64264)+E(f327(f327(f143(x64261,x64262),x64263),x64264),x64262)+~P134(f327(f327(f228(a834),x64263),f327(f177(f835(x64261)),x64262))) % 153.71/153.55 [6464]P134(f327(x64641,x64642))+~P134(f327(x64643,x64642))+~P134(f327(f327(f227(f841(x64644,a831)),x64643),x64641)) % 153.71/153.55 [6499]~E(f327(f327(f143(x64991,x64992),x64993),x64994),x64992)+E(f327(f327(f146(x64991),x64992),x64993),x64994)+~P134(f327(f327(f228(a834),x64993),f327(f177(f835(x64991)),x64992))) % 153.71/153.55 [6625]E(x66251,f176(f841(x66252,a831)))+E(x66253,f176(f841(x66254,a831)))+~E(f327(f327(f243(x66254,x66252),x66253),f327(f18(f841(x66252,a831),x66254),x66251)),f176(f841(f840(x66254,x66252),a831))) % 153.71/153.55 [6643]E(x66431,x66432)+P134(f327(f327(f329(x66433),x66431),x66434))+~P134(f327(f327(f329(x66433),x66431),f327(f327(f297(x66433),x66432),x66434))) % 153.71/153.55 [6660]~P97(x66601)+P134(f327(f327(f228(x66601),x66602),x66603))+~P134(f327(f327(f228(x66601),x66602),f327(f327(f231(x66601),x66604),x66603))) % 153.71/153.55 [6661]~P97(x66611)+P134(f327(f327(f228(x66611),x66612),x66613))+~P134(f327(f327(f228(x66611),x66612),f327(f327(f231(x66611),x66613),x66614))) % 153.71/153.55 [6663]~P97(x66631)+P134(f327(f327(f227(x66631),x66632),x66633))+~P134(f327(f327(f227(x66631),x66632),f327(f327(f231(x66631),x66634),x66633))) % 153.71/153.55 [6665]~P97(x66651)+P134(f327(f327(f227(x66651),x66652),x66653))+~P134(f327(f327(f227(x66651),x66652),f327(f327(f231(x66651),x66653),x66654))) % 153.71/153.55 [6667]~P95(x66671)+P134(f327(f327(f227(x66671),x66672),x66673))+~P134(f327(f327(f227(x66671),x66672),f327(f327(f101(x66671),x66674),x66673))) % 153.71/153.55 [6669]~P95(x66691)+P134(f327(f327(f227(x66691),x66692),x66693))+~P134(f327(f327(f227(x66691),x66692),f327(f327(f101(x66691),x66693),x66694))) % 153.71/153.55 [6690]~E(f327(f327(f146(x66901),x66903),x66904),x66902)+P134(f327(f327(f329(x66901),x66902),f327(f154(x66901),x66903)))+~P134(f327(f327(f228(a834),x66904),f327(f177(f835(x66901)),x66903))) % 153.71/153.55 [6702]~P97(x67021)+~P18(x67021,f327(f327(f136(x67021),x67022),f327(f327(f136(x67021),x67023),x67024)))+P134(f327(f327(f227(x67021),x67022),x67023)) % 153.71/153.55 [6868]E(x68681,f2(a1))+E(f327(f327(f44(a1),x68682),x68681),x68683)+~P134(f327(f57(x68682,x68681),f327(f327(f236(a1,a1),x68683),x68684))) % 153.71/153.55 [6897]E(f53(a1,x68972,x68971),x68973)+E(x68971,f2(a1))+~P134(f327(f57(x68972,x68971),f327(f327(f236(a1,a1),x68974),x68973))) % 153.71/153.55 [7014]P134(f327(f327(f329(x70141),x70142),x70143))+~P134(f327(f327(f329(x70141),x70142),x70144))+~P134(f327(f327(f228(f841(x70141,a831)),x70144),x70143)) % 153.71/153.55 [7018]P134(f327(f327(f329(x70181),x70182),x70183))+~P134(f327(f327(f329(x70181),x70182),x70184))+~P134(f327(f327(f227(f841(x70181,a831)),x70184),x70183)) % 153.71/153.55 [7028]~P108(x70281)+~E(x70283,f2(x70281))+P134(f327(f327(f274(x70281),f327(f327(f85(x70281),x70282),x70283)),f327(f327(f85(x70281),x70284),x70283))) % 153.71/153.55 [7029]~P108(x70291)+~E(x70292,f2(x70291))+P134(f327(f327(f274(x70291),f327(f327(f85(x70291),x70292),x70293)),f327(f327(f85(x70291),x70292),x70294))) % 153.71/153.55 [7254]~P99(x72542)+~P134(f327(f327(f228(f841(x72541,x72542)),x72543),x72544))+P134(f327(f327(f227(f841(x72541,x72542)),x72543),x72544)) % 153.71/153.55 [7386]~P134(f327(f327(f329(x73861),x73862),x73864))+P134(f327(f327(f329(x73861),x73862),f45(f841(x73861,a831),x73863)))+~P134(f327(f327(f329(f841(x73861,a831)),x73864),x73863)) % 153.71/153.55 [7388]~P82(x73881)+~P134(f327(f327(f227(a834),x73883),x73884))+P134(f327(f327(f274(x73881),f327(f327(f237(x73881),x73882),x73883)),f327(f327(f237(x73881),x73882),x73884))) % 153.71/153.55 [7416]~P71(x74161)+~P134(f327(f327(f228(x74161),x74163),x74164))+P134(f327(f327(f228(x74161),f327(f327(f84(x74161),x74162),x74163)),f327(f327(f84(x74161),x74162),x74164))) % 153.71/153.55 [7417]~P77(x74171)+~P134(f327(f327(f228(x74171),x74173),x74174))+P134(f327(f327(f228(x74171),f327(f327(f84(x74171),x74172),x74173)),f327(f327(f84(x74171),x74172),x74174))) % 153.71/153.55 [7418]~P71(x74181)+~P134(f327(f327(f228(x74181),x74182),x74184))+P134(f327(f327(f228(x74181),f327(f327(f84(x74181),x74182),x74183)),f327(f327(f84(x74181),x74184),x74183))) % 153.71/153.55 [7419]~P77(x74191)+~P134(f327(f327(f228(x74191),x74192),x74194))+P134(f327(f327(f228(x74191),f327(f327(f84(x74191),x74192),x74193)),f327(f327(f84(x74191),x74194),x74193))) % 153.71/153.55 [7420]~P71(x74201)+~P134(f327(f327(f227(x74201),x74203),x74204))+P134(f327(f327(f227(x74201),f327(f327(f84(x74201),x74202),x74203)),f327(f327(f84(x74201),x74202),x74204))) % 153.71/153.55 [7421]~P75(x74211)+~P134(f327(f327(f227(x74211),x74213),x74214))+P134(f327(f327(f227(x74211),f327(f327(f84(x74211),x74212),x74213)),f327(f327(f84(x74211),x74212),x74214))) % 153.71/153.55 [7422]~P71(x74221)+~P134(f327(f327(f227(x74221),x74222),x74224))+P134(f327(f327(f227(x74221),f327(f327(f84(x74221),x74222),x74223)),f327(f327(f84(x74221),x74224),x74223))) % 153.71/153.55 [7423]~P75(x74231)+~P134(f327(f327(f227(x74231),x74232),x74234))+P134(f327(f327(f227(x74231),f327(f327(f84(x74231),x74232),x74233)),f327(f327(f84(x74231),x74234),x74233))) % 153.71/153.55 [7424]~P108(x74241)+~P134(f327(f327(f274(x74241),x74243),x74244))+P134(f327(f327(f274(x74241),f327(f327(f85(x74241),x74242),x74243)),f327(f327(f85(x74241),x74242),x74244))) % 153.71/153.55 [7425]~P108(x74251)+~P134(f327(f327(f274(x74251),x74252),x74254))+P134(f327(f327(f274(x74251),f327(f327(f85(x74251),x74252),x74253)),f327(f327(f85(x74251),x74254),x74253))) % 153.71/153.55 [7426]~P82(x74261)+~P134(f327(f327(f274(x74261),x74262),x74264))+P134(f327(f327(f274(x74261),f327(f327(f237(x74261),x74262),x74263)),f327(f327(f237(x74261),x74264),x74263))) % 153.71/153.55 [7435]~P132(x74351)+~P86(x74351)+E(f327(f327(f84(x74351),f327(f327(f85(x74351),x74352),f327(f103(x74351),x74353))),f327(f327(f85(x74351),x74354),f327(f103(x74351),x74353))),f327(f327(f85(x74351),f327(f327(f84(x74351),x74352),x74354)),f327(f103(x74351),x74353))) % 153.71/153.55 [7436]~P117(x74361)+~P86(x74361)+E(f327(f327(f3(x74361),f327(f327(f85(x74361),x74362),f327(f103(x74361),x74363))),f327(f327(f85(x74361),x74364),f327(f103(x74361),x74363))),f327(f327(f85(x74361),f327(f327(f3(x74361),x74362),x74364)),f327(f103(x74361),x74363))) % 153.71/153.55 [7473]~P65(x74731)+E(f327(f327(f84(x74731),f327(x74732,x74733)),f327(f327(f8(a834,x74731),x74732),f290(a834,f327(a111,x74733),x74734))),f327(f327(f8(a834,x74731),x74732),f290(a834,x74733,x74734)))+~P134(f327(f327(f227(a834),x74733),x74734)) % 153.71/153.55 [7484]~P28(x74842,x74841,x74843,f327(f154(x74842),x74844))+~P134(f327(f124(x74842),x74844))+P134(f327(f124(x74841),f327(f327(f138(x74842,x74841),x74843),x74844))) % 153.71/153.55 [7533]~P134(f327(f327(f228(a834),x75332),x75334))+~P134(f327(f327(f228(a834),x75331),x75333))+P134(f327(f327(f228(a834),f327(f327(f84(a834),x75331),x75332)),f327(f327(f84(a834),x75333),x75334))) % 153.71/153.55 [7536]~P134(f327(f327(f228(a1),x75361),x75363))+~P134(f327(f327(f227(a1),x75362),x75364))+P134(f327(f327(f228(a1),f327(f327(f84(a1),x75361),x75362)),f327(f327(f84(a1),x75363),x75364))) % 153.71/153.55 [7537]~P134(f327(f327(f227(a834),x75372),x75374))+~P134(f327(f327(f227(a834),x75371),x75373))+P134(f327(f327(f227(a834),f327(f327(f84(a834),x75371),x75372)),f327(f327(f84(a834),x75373),x75374))) % 153.71/153.55 [7538]~P134(f327(f327(f227(a834),x75382),x75384))+~P134(f327(f327(f227(a834),x75381),x75383))+P134(f327(f327(f227(a834),f327(f327(f85(a834),x75381),x75382)),f327(f327(f85(a834),x75383),x75384))) % 153.71/153.55 [7587]P134(f327(f327(f329(x75871),x75872),x75873))+~P134(f327(f327(f329(x75871),x75872),f46(f841(x75871,a831),x75874)))+~P134(f327(f327(f329(f841(x75871,a831)),x75873),x75874)) % 153.71/153.55 [7603]~P134(f327(x76031,f706(x76031,x76033,x76032)))+P134(f327(x76031,f327(f327(f146(x76032),x76033),x76034)))+~P134(f327(f327(f228(a834),x76034),f327(f177(f835(x76032)),x76033))) % 153.71/153.55 [7607]P134(f327(x76071,x76072))+~P134(f327(f327(f329(x76074),x76072),f327(f154(x76074),x76073)))+P134(f327(f327(f228(a834),f707(x76071,x76073,x76074)),f327(f177(f835(x76074)),x76073))) % 153.71/153.55 [7654]~P99(x76541)+~P134(f327(f327(f227(f841(x76542,x76541)),x76544),x76543))+~P134(f327(f327(f228(f841(x76542,x76541)),x76543),x76544)) % 153.71/153.55 [7696]~P134(f327(x76964,x76962))+~P134(f327(f327(f329(x76961),x76962),x76963))+P134(f327(f327(f329(x76961),x76962),f327(f327(f101(f841(x76961,a831)),x76963),f327(f251(x76961),x76964)))) % 153.71/153.55 [7845]~P134(f327(f327(f329(x78451),x78453),x78454))+~P134(f327(f327(f228(f841(x78451,a831)),x78452),x78454))+P134(f327(f327(f228(f841(x78451,a831)),x78452),f327(f327(f297(x78451),x78453),x78454))) % 153.71/153.55 [7847]E(f327(f327(f101(f841(x78471,a831)),x78472),x78473),f176(f841(x78471,a831)))+~E(f327(f327(f101(f841(x78471,a831)),f45(f841(x78471,a831),x78474)),x78473),f176(f841(x78471,a831)))+~P134(f327(f327(f329(f841(x78471,a831)),x78472),x78474)) % 153.71/153.55 [7921]P134(f327(f327(f329(x79211),x79212),x79213))+~P134(f327(f327(f227(f841(x79211,a831)),x79213),f327(f327(f297(x79211),x79212),x79214)))+P134(f327(f327(f227(f841(x79211,a831)),x79213),x79214)) % 153.71/153.55 [7936]P134(f327(f327(f329(x79362),f706(x79361,x79363,x79362)),f327(f154(x79362),x79363)))+P134(f327(x79361,f327(f327(f146(x79362),x79363),x79364)))+~P134(f327(f327(f228(a834),x79364),f327(f177(f835(x79362)),x79363))) % 153.71/153.55 [7944]~P134(f327(f327(f228(f841(x79441,a831)),x79442),x79444))+P134(f327(f327(f228(f841(x79441,a831)),x79442),x79443))+~P134(f327(f327(f228(f841(x79441,a831)),x79444),x79443)) % 153.71/153.55 [7945]~P134(f327(f327(f227(f841(x79451,a831)),x79452),x79454))+P134(f327(f327(f228(f841(x79451,a831)),x79452),x79453))+~P134(f327(f327(f228(f841(x79451,a831)),x79454),x79453)) % 153.71/153.55 [7946]~P134(f327(f327(f227(f841(x79461,a831)),x79464),x79463))+~P134(f327(f327(f228(f841(x79461,a831)),x79462),x79464))+P134(f327(f327(f228(f841(x79461,a831)),x79462),x79463)) % 153.71/153.55 [7947]~P134(f327(f327(f227(f841(x79471,a831)),x79472),x79474))+P134(f327(f327(f227(f841(x79471,a831)),x79472),x79473))+~P134(f327(f327(f227(f841(x79471,a831)),x79474),x79473)) % 153.71/153.55 [7984]~P134(f327(f327(f329(x79841),x79844),x79843))+~P134(f327(f327(f228(f841(x79841,a831)),x79842),f327(f327(f297(x79841),x79844),x79843)))+P134(f327(f327(f228(f841(x79841,a831)),x79842),x79843)) % 153.71/153.55 [7996]~P71(x79961)+P134(f327(f327(f228(x79961),x79962),x79963))+~P134(f327(f327(f228(x79961),f327(f327(f84(x79961),x79964),x79962)),f327(f327(f84(x79961),x79964),x79963))) % 153.71/153.55 [7998]~P71(x79981)+P134(f327(f327(f228(x79981),x79982),x79983))+~P134(f327(f327(f228(x79981),f327(f327(f84(x79981),x79982),x79984)),f327(f327(f84(x79981),x79983),x79984))) % 153.71/153.55 [8000]~P71(x80001)+P134(f327(f327(f227(x80001),x80002),x80003))+~P134(f327(f327(f227(x80001),f327(f327(f84(x80001),x80004),x80002)),f327(f327(f84(x80001),x80004),x80003))) % 153.71/153.55 [8002]~P71(x80021)+P134(f327(f327(f227(x80021),x80022),x80023))+~P134(f327(f327(f227(x80021),f327(f327(f84(x80021),x80022),x80024)),f327(f327(f84(x80021),x80023),x80024))) % 153.71/153.55 [8049]P134(f327(x80491,x80492))+~E(f327(f327(f125(x80493),f327(f177(f835(x80493)),f158(x80493,x80491,x80494))),x80494),f112(x80493))+~P134(f327(f327(f329(x80493),x80492),f327(f154(x80493),x80494))) % 153.71/153.55 [8168]P134(f327(x81681,x81682))+~P134(f327(f327(f329(x81683),x81682),f327(f154(x81683),x81684)))+P134(f327(f327(f228(a834),f327(f177(f835(x81683)),f327(f123(x81683,x81681),x81684))),f327(f177(f835(x81683)),x81684))) % 153.71/153.55 [8636]~P28(x86364,x86363,x86361,f234(f841(x86364,a831)))+E(f327(x86361,f505(x86362,x86361,x86363,x86364)),x86362)+~P134(f327(f327(f329(x86363),x86362),f327(f298(x86364,x86363,x86361),f234(f841(x86364,a831))))) % 153.71/153.55 [8772]~P134(f327(f66(x87721),x87724))+P134(f327(f327(f329(x87721),f528(x87722,x87723,x87724,x87721)),x87724))+P134(f327(f66(f840(x87721,x87723)),f327(f327(f243(x87721,x87723),x87724),x87722))) % 153.71/153.55 [9072]~P134(f327(f66(x90721),x90723))+~P134(f327(f66(x90722),f327(x90724,f528(x90724,x90722,x90723,x90721))))+P134(f327(f66(f840(x90721,x90722)),f327(f327(f243(x90721,x90722),x90723),x90724))) % 153.71/153.55 [9086]~E(f327(f177(f835(x90864)),x90862),f327(f177(f835(x90864)),x90863))+P134(f327(f327(f329(f840(f835(x90864),f835(x90864))),f327(f327(f236(f835(x90864),f835(x90864)),x90863),x90862)),f142(x90864,x90861)))+P134(f327(f327(f228(a834),f716(x90861,x90862,x90863,x90864)),f327(f177(f835(x90864)),x90863))) % 153.71/153.55 [9200]E(f327(f327(f155(x92001),f717(x92002,x92003,x92004,x92001)),x92003),f327(f327(f155(x92001),f717(x92002,x92003,x92004,x92001)),x92004))+~P134(f327(f327(f329(f840(f835(x92001),f835(x92001))),f327(f327(f236(f835(x92001),f835(x92001)),x92004),x92003)),f133(x92001,x92002)))+P134(f327(f327(f228(a834),f327(f177(f835(x92001)),x92004)),f327(f177(f835(x92001)),x92003))) % 153.71/153.55 [9257]~P134(f327(f327(f228(a834),f2(a834)),x92573))+~P134(f327(f327(f228(a834),x92574),x92571))+P134(f327(f327(f228(a834),f327(f327(f84(a834),f327(f327(f85(a834),x92571),f53(a834,x92572,x92573))),x92574)),f327(f327(f85(a834),x92571),x92573))) % 153.71/153.55 [9439]~P99(x94392)+~P134(f327(f327(f227(x94392),f327(x94393,f612(x94394,x94393,x94391,x94392))),f327(x94394,f612(x94394,x94393,x94391,x94392))))+P134(f327(f327(f227(f841(x94391,x94392)),x94393),x94394)) % 153.71/153.55 [9532]~P6(x95321)+E(f327(f327(f8(a834,x95321),f327(f327(f20(a834,x95321,x95321),f327(f327(f10(x95321,f841(x95321,x95321),a834),f3(x95321)),x95322)),f327(f327(f10(a834,x95321,a834),x95322),f327(f327(f9(a834,a834,a834),f84(a834)),f82(a834))))),f290(a834,x95323,x95324)),f327(f327(f3(x95321),f327(x95322,x95323)),f327(x95322,f327(f327(f84(a834),x95324),f82(a834)))))+~P134(f327(f327(f227(a834),x95323),x95324)) % 153.71/153.55 [6606]~P7(x66061)+E(f327(f327(f44(x66061),f327(f327(f85(x66061),x66062),x66063)),x66064),f327(f327(f85(x66061),x66062),f327(f327(f44(x66061),x66063),x66064)))+~P134(f327(f327(f274(x66061),x66064),x66063)) % 153.71/153.55 [6694]E(f327(f327(f122(x66941),x66942),x66943),x66944)+~E(x66943,f327(f327(f125(x66941),f327(f177(f835(x66941)),x66942)),x66944))+~E(f327(f327(f155(x66941),f327(f177(f835(x66941)),x66942)),x66944),x66942) % 153.71/153.55 [6754]~P59(x67542)+E(x67541,f2(x67542))+E(f327(f327(f278(x67542),f327(f327(f237(x67542),x67543),x67544)),f327(f327(f237(x67542),x67541),x67544)),f327(f327(f237(x67542),f327(f327(f278(x67542),x67543),x67541)),x67544)) % 153.71/153.55 [6905]~P7(x69051)+E(f327(f327(f44(x69051),f327(f327(f85(x69051),x69052),x69053)),x69054),f327(f327(f85(x69051),f327(f327(f44(x69051),x69052),x69054)),x69053))+~P134(f327(f327(f274(x69051),x69054),x69052)) % 153.71/153.55 [6915]~P97(x69151)+~P134(f327(f327(f228(x69151),x69153),x69154))+P134(f327(f327(f228(x69151),f327(f327(f231(x69151),x69152),x69153)),x69154)) % 153.71/153.55 [6917]~P97(x69171)+~P134(f327(f327(f228(x69171),x69172),x69174))+P134(f327(f327(f228(x69171),f327(f327(f231(x69171),x69172),x69173)),x69174)) % 153.71/153.55 [6918]~P95(x69181)+~P134(f327(f327(f228(x69181),x69183),x69184))+P134(f327(f327(f228(x69181),f327(f327(f101(x69181),x69182),x69183)),x69184)) % 153.71/153.55 [6919]~P95(x69191)+~P134(f327(f327(f228(x69191),x69192),x69194))+P134(f327(f327(f228(x69191),f327(f327(f101(x69191),x69192),x69193)),x69194)) % 153.71/153.55 [6921]~P97(x69211)+~P134(f327(f327(f227(x69211),x69213),x69214))+P134(f327(f327(f227(x69211),f327(f327(f231(x69211),x69212),x69213)),x69214)) % 153.71/153.55 [6923]~P97(x69231)+~P134(f327(f327(f227(x69231),x69232),x69234))+P134(f327(f327(f227(x69231),f327(f327(f231(x69231),x69232),x69233)),x69234)) % 153.71/153.55 [6924]~P95(x69241)+~P134(f327(f327(f227(x69241),x69243),x69244))+P134(f327(f327(f227(x69241),f327(f327(f101(x69241),x69242),x69243)),x69244)) % 153.71/153.55 [6925]~P95(x69251)+~P134(f327(f327(f227(x69251),x69252),x69254))+P134(f327(f327(f227(x69251),f327(f327(f101(x69251),x69252),x69253)),x69254)) % 153.71/153.55 [6942]~P134(f327(x69423,x69424))+~P134(f327(x69422,x69424))+P134(f327(f327(f327(f101(f841(x69421,a831)),x69422),x69423),x69424)) % 153.71/153.55 [6976]~E(f327(f177(f835(x69761)),x69763),f327(f177(f835(x69762)),x69764))+~P134(f327(f124(x69761),x69763))+E(f165(x69761,x69762,f162(x69761,x69762,f327(f327(f163(x69761,x69762),x69763),x69764))),f327(f154(x69761),x69763)) % 153.71/153.55 [7213]~P7(x72131)+E(f327(f327(f44(x72131),f327(f327(f237(x72131),x72132),x72133)),f327(f327(f237(x72131),x72134),x72133)),f327(f327(f237(x72131),f327(f327(f44(x72131),x72132),x72134)),x72133))+~P134(f327(f327(f274(x72131),x72134),x72132)) % 153.71/153.55 [7463]~P65(x74631)+E(f327(f327(f84(x74631),f327(x74632,x74633)),f327(f327(f8(a834,x74631),x74632),f327(f289(a834,f327(a111,x74633)),x74634))),f327(f327(f8(a834,x74631),x74632),f327(f289(a834,x74633),x74634)))+~P134(f327(f327(f228(a834),x74633),x74634)) % 153.71/153.55 [7491]~P97(x74911)+P134(f327(f327(f228(x74911),x74912),x74913))+~P134(f327(f327(f228(x74911),f327(f327(f175(x74911),x74914),x74912)),x74913)) % 153.71/153.55 [7492]~P97(x74921)+P134(f327(f327(f228(x74921),x74922),x74923))+~P134(f327(f327(f228(x74921),f327(f327(f175(x74921),x74922),x74924)),x74923)) % 153.71/153.55 [7494]~P97(x74941)+P134(f327(f327(f227(x74941),x74942),x74943))+~P134(f327(f327(f227(x74941),f327(f327(f175(x74941),x74944),x74942)),x74943)) % 153.71/153.55 [7496]~P97(x74961)+P134(f327(f327(f227(x74961),x74962),x74963))+~P134(f327(f327(f227(x74961),f327(f327(f175(x74961),x74962),x74964)),x74963)) % 153.71/153.55 [7498]~P94(x74981)+P134(f327(f327(f227(x74981),x74982),x74983))+~P134(f327(f327(f227(x74981),f327(f327(f100(x74981),x74984),x74982)),x74983)) % 153.71/153.55 [7500]~P94(x75001)+P134(f327(f327(f227(x75001),x75002),x75003))+~P134(f327(f327(f227(x75001),f327(f327(f100(x75001),x75002),x75004)),x75003)) % 153.71/153.55 [7501]~P82(x75011)+P134(f327(f327(f274(x75011),x75012),x75013))+~P134(f327(f327(f274(x75011),f327(f327(f85(x75011),x75014),x75012)),x75013)) % 153.71/153.55 [7502]~P82(x75021)+P134(f327(f327(f274(x75021),x75022),x75023))+~P134(f327(f327(f274(x75021),f327(f327(f85(x75021),x75022),x75024)),x75023)) % 153.71/153.55 [7579]~P134(f327(f327(f329(x75791),x75792),x75794))+P134(f327(f327(f329(x75791),x75792),x75793))+P134(f327(f327(f329(x75791),x75792),f327(f327(f3(f841(x75791,a831)),x75794),x75793))) % 153.71/153.55 [7660]P134(f327(x76601,x76602))+P134(f327(x76603,x76602))+~P134(f327(f327(f327(f100(f841(x76604,a831)),x76603),x76601),x76602)) % 153.71/153.55 [7670]~P134(f327(f327(f329(x76701),x76702),x76704))+~P134(f327(f327(f329(x76701),x76702),x76703))+P134(f327(f327(f329(x76701),x76702),f327(f327(f101(f841(x76701,a831)),x76703),x76704))) % 153.71/153.55 [7723]~P97(x77231)+~P134(f327(f66(x77231),x77234))+E(f327(f327(f69(x77231,x77231,f231(x77231)),x77232),f327(f327(f297(x77231),x77233),x77234)),f327(f327(f231(x77231),x77233),f327(f327(f69(x77231,x77231,f231(x77231)),x77232),x77234))) % 153.71/153.55 [7724]~P97(x77241)+~P134(f327(f66(x77241),x77244))+E(f327(f327(f69(x77241,x77241,f175(x77241)),x77242),f327(f327(f297(x77241),x77243),x77244)),f327(f327(f175(x77241),x77243),f327(f327(f69(x77241,x77241,f175(x77241)),x77242),x77244))) % 153.71/153.55 [7725]~P94(x77251)+~P134(f327(f66(x77251),x77254))+E(f327(f327(f69(x77251,x77251,f100(x77251)),x77252),f327(f327(f297(x77251),x77253),x77254)),f327(f327(f100(x77251),x77253),f327(f327(f69(x77251,x77251,f100(x77251)),x77252),x77254))) % 153.71/153.55 [7726]~P95(x77261)+~P134(f327(f66(x77261),x77264))+E(f327(f327(f69(x77261,x77261,f101(x77261)),x77262),f327(f327(f297(x77261),x77263),x77264)),f327(f327(f101(x77261),x77263),f327(f327(f69(x77261,x77261,f101(x77261)),x77262),x77264))) % 153.71/153.55 [7728]~P132(x77281)+~P86(x77281)+E(f327(f327(f84(x77281),f327(f327(f85(x77281),f327(f103(x77281),x77282)),x77283)),f327(f327(f85(x77281),f327(f103(x77281),x77282)),x77284)),f327(f327(f85(x77281),f327(f103(x77281),x77282)),f327(f327(f84(x77281),x77283),x77284))) % 153.71/153.55 [7729]~P117(x77291)+~P86(x77291)+E(f327(f327(f3(x77291),f327(f327(f85(x77291),f327(f103(x77291),x77292)),x77293)),f327(f327(f85(x77291),f327(f103(x77291),x77292)),x77294)),f327(f327(f85(x77291),f327(f103(x77291),x77292)),f327(f327(f3(x77291),x77293),x77294))) % 153.71/153.55 [7843]E(x78431,x78432)+P134(f327(f327(f329(x78433),x78431),f327(f154(x78433),x78434)))+~P134(f327(f327(f329(x78433),x78431),f327(f154(x78433),f327(f327(f136(x78433),x78432),x78434)))) % 153.71/153.55 [8005]P51(x80051,x80052,x80053)+~P51(x80051,x80052,x80054)+~P134(f327(f327(f227(f841(f840(x80051,x80052),a831)),x80053),x80054)) % 153.71/153.55 [8051]P134(f327(f327(f329(x80511),x80512),x80513))+P134(f327(f327(f329(x80511),x80512),x80514))+~P134(f327(f327(f329(x80511),x80512),f327(f327(f100(f841(x80511,a831)),x80514),x80513))) % 153.71/153.55 [8061]~P45(x80611,x80614,x80613)+~P134(f327(f327(f329(x80611),x80612),x80614))+P134(f327(f327(f329(f840(x80611,x80611)),f327(f327(f236(x80611,x80611),x80612),x80612)),x80613)) % 153.71/153.55 [8073]~P134(f327(f66(x80732),x80734))+~P134(f327(f66(x80731),x80733))+P134(f327(f66(f840(x80731,x80732)),f327(f327(f243(x80731,x80732),x80733),f327(f18(f841(x80732,a831),x80731),x80734)))) % 153.71/153.55 [8074]~P134(f327(f327(f329(x80741),x80742),x80744))+~P134(f327(f327(f227(f841(x80741,a831)),x80743),x80744))+P134(f327(f327(f227(f841(x80741,a831)),f327(f327(f297(x80741),x80742),x80743)),x80744)) % 153.71/153.55 [8082]~P1(x80822)+~P68(x80822)+E(f327(f327(f11(x80821,x80822),f327(f327(f10(a834,x80822,x80821),f99(x80822)),x80823)),x80824),f327(f99(x80822),f327(f327(f11(x80821,a834),x80823),x80824))) % 153.71/153.55 [8083]~P68(x80832)+~P130(x80832)+E(f327(f327(f11(x80831,x80832),f327(f327(f10(a1,x80832,x80831),f102(x80832)),x80833)),x80834),f327(f102(x80832),f327(f327(f11(x80831,a1),x80833),x80834))) % 153.71/153.55 [8108]E(f327(f327(f3(f841(x81081,a831)),x81082),f327(f327(f3(f841(x81081,a831)),x81083),x81084)),x81084)+~P134(f327(f327(f227(f841(x81081,a831)),x81082),x81083))+~P134(f327(f327(f227(f841(x81081,a831)),x81084),x81082)) % 153.71/153.55 [8200]~P134(f327(f66(x82001),x82004))+E(f327(f327(f3(a834),f327(f327(f8(x82001,a834),x82002),x82003)),f327(f327(f8(x82001,a834),x82002),x82004)),f327(f327(f8(x82001,a834),x82002),f327(f327(f3(f841(x82001,a831)),x82003),x82004)))+~P134(f327(f327(f227(f841(x82001,a831)),x82004),x82003)) % 153.71/153.55 [8349]~P12(x83491,x83494,x83493)+~P134(f327(f327(f329(x83491),x83492),x83494))+P134(f327(f327(f329(x83491),x83492),f327(f272(x83491,x83491,x83493),f327(f327(f297(x83491),x83492),f176(f841(x83491,a831)))))) % 153.71/153.55 [8406]~P134(f327(f327(f227(f841(x84061,a831)),x84062),x84063))+~P134(f327(f327(f227(f841(x84061,a831)),x84062),x84064))+P134(f327(f327(f227(f841(x84061,a831)),x84062),f327(f327(f101(f841(x84061,a831)),x84063),x84064))) % 153.71/153.55 [8498]E(x84981,f176(f841(x84982,a831)))+P134(f327(f66(x84983),x84984))+~P134(f327(f66(f840(x84983,x84982)),f327(f327(f243(x84983,x84982),x84984),f327(f18(f841(x84982,a831),x84983),x84981)))) % 153.71/153.55 [8499]E(x84991,f176(f841(x84992,a831)))+P134(f327(f66(x84993),x84994))+~P134(f327(f66(f840(x84992,x84993)),f327(f327(f243(x84992,x84993),x84991),f327(f18(f841(x84993,a831),x84992),x84994)))) % 153.71/153.55 [8557]P134(f327(f327(f329(x85571),x85572),f317(x85571,x85573)))+~P134(f327(f327(f329(x85571),x85574),f317(x85571,x85573)))+~P134(f327(f327(f329(f840(x85571,x85571)),f327(f327(f236(x85571,x85571),x85572),x85574)),x85573)) % 153.71/153.55 [8609]~P33(x86091,x86094)+P134(f327(f327(f329(f840(x86091,x86091)),f327(f327(f236(x86091,x86091),x86093),x86092)),f295(x86091,x86094)))+P33(x86091,f327(f327(f297(f840(x86091,x86091)),f327(f327(f236(x86091,x86091),x86092),x86093)),x86094)) % 153.71/153.55 [8610]~P54(x86101,x86104)+P134(f327(f327(f329(f840(x86101,x86101)),f327(f327(f236(x86101,x86101),x86103),x86102)),f295(x86101,x86104)))+P54(x86101,f327(f327(f297(f840(x86101,x86101)),f327(f327(f236(x86101,x86101),x86102),x86103)),x86104)) % 153.71/153.55 [8682]~E(x86822,x86823)+~P134(f327(f327(f329(x86821),x86822),f327(f154(x86821),x86824)))+P134(f327(f327(f329(f840(x86821,x86821)),f327(f327(f236(x86821,x86821),x86822),x86823)),f327(f154(f840(x86821,x86821)),f327(f327(f163(x86821,x86821),x86824),x86824)))) % 153.71/153.55 [8752]~E(x87523,x87524)+P134(f327(f327(f246(x87521,x87521,a831),a324),x87522))+~P134(f327(f327(f329(f840(x87521,x87521)),x87522),f327(f154(f840(x87521,x87521)),f327(f327(f163(x87521,x87521),x87523),x87524)))) % 153.71/153.55 [8788]P134(f327(f327(f329(f840(f835(x87881),f835(x87881))),f327(f327(f236(f835(x87881),f835(x87881)),x87882),x87883)),f133(x87881,x87884)))+~E(f327(f327(f155(x87881),f327(f177(f835(x87881)),x87882)),x87883),x87882)+~P134(f327(f327(f228(a834),f327(f177(f835(x87881)),x87882)),f327(f177(f835(x87881)),x87883))) % 153.71/153.55 [8878]~P134(f327(f66(x88781),x88784))+P134(f327(f327(f329(x88781),f387(x88782,x88783,x88784,x88781)),x88784))+P134(f327(f66(x88783),f327(f327(f47(x88781,f841(x88783,a831)),x88784),x88782))) % 153.71/153.55 [8879]~P134(f327(f66(x88791),x88794))+P134(f327(f327(f329(x88791),f587(x88792,x88793,x88794,x88791)),x88794))+P134(f327(f66(x88793),f327(f327(f47(x88791,f841(x88793,a831)),x88794),x88792))) % 153.71/153.55 [8959]P134(f327(f327(f329(f840(x89591,x89591)),x89592),f327(f327(f276(x89591,x89591,x89591),x89593),f295(x89591,x89593))))+~P134(f327(f327(f228(a834),f2(a834)),x89594))+~P134(f327(f327(f329(f840(x89591,x89591)),x89592),f327(f327(f169(f840(x89591,x89591),a831),x89594),x89593))) % 153.71/153.55 [8967]~P33(x89671,x89672)+~P134(f327(f327(f329(f840(x89671,x89671)),f327(f327(f236(x89671,x89671),x89674),x89673)),x89672))+~P134(f327(f327(f329(f840(x89671,x89671)),f327(f327(f236(x89671,x89671),x89673),x89674)),x89672)) % 153.71/153.55 [9082]~P134(f327(f66(x90821),x90824))+E(f327(f327(f8(x90821,a834),f327(f327(f10(f841(x90822,a831),a834,x90821),f43(x90822)),x90823)),x90824),f327(f43(f840(x90821,x90822)),f327(f327(f243(x90821,x90822),x90824),x90823)))+P134(f327(f327(f329(x90821),f536(x90823,x90822,x90824,x90821)),x90824)) % 153.71/153.55 [9084]~P134(f327(f124(x90841),x90842))+P134(f327(f124(x90841),f327(f327(f143(x90841,x90842),x90843),x90844)))+P134(f327(f327(f329(x90841),x90844),f327(f327(f3(f841(x90841,a831)),f327(f154(x90841),x90842)),f327(f327(f297(x90841),f327(f327(f146(x90841),x90842),x90843)),f176(f841(x90841,a831)))))) % 153.71/153.55 [9093]~P134(f327(f66(x90932),x90933))+~P134(f327(f66(x90931),f327(x90934,f387(x90934,x90931,x90933,x90932))))+P134(f327(f66(x90931),f327(f327(f47(x90932,f841(x90931,a831)),x90933),x90934))) % 153.71/153.55 [9094]~P134(f327(f66(x90942),x90943))+~P134(f327(f66(x90941),f327(x90944,f587(x90944,x90941,x90943,x90942))))+P134(f327(f66(x90941),f327(f327(f47(x90942,f841(x90941,a831)),x90943),x90944))) % 153.71/153.55 [9161]~P134(f327(f327(f329(f840(x91611,x91611)),x91612),f327(f327(f276(x91611,x91611,x91611),x91614),f295(x91611,x91614))))+P134(f327(f327(f329(f840(x91611,x91611)),x91612),f327(f327(f276(x91611,x91611,x91611),x91613),f295(x91611,x91613))))+~P134(f327(f327(f227(f841(f840(x91611,x91611),a831)),x91614),x91613)) % 153.71/153.55 [9169]E(f327(f327(f155(x91691),f717(x91694,x91693,x91692,x91691)),x91693),f327(f327(f155(x91691),f717(x91694,x91693,x91692,x91691)),x91692))+~P134(f327(f327(f329(f840(f835(x91691),f835(x91691))),f327(f327(f236(f835(x91691),f835(x91691)),x91692),x91693)),f133(x91691,x91694)))+E(f327(f327(f155(x91691),f327(f177(f835(x91691)),x91692)),x91693),x91692) % 153.71/153.55 [9185]~P134(f327(f66(x91851),x91854))+E(f327(f327(f8(x91851,a834),f327(f327(f10(f841(x91852,a831),a834,x91851),f43(x91852)),x91853)),x91854),f327(f43(f840(x91851,x91852)),f327(f327(f243(x91851,x91852),x91854),x91853)))+~P134(f327(f66(x91852),f327(x91853,f536(x91853,x91852,x91854,x91851)))) % 153.71/153.55 [9189]~E(f327(f177(f835(x91891)),x91893),f327(f177(f835(x91891)),x91892))+P134(f327(f327(f329(f840(f835(x91891),f835(x91891))),f327(f327(f236(f835(x91891),f835(x91891)),x91892),x91893)),f142(x91891,x91894)))+P134(f327(f327(f329(f840(x91891,x91891)),f699(x91894,x91893,x91892,x91891)),f327(f154(f840(x91891,x91891)),f327(f327(f163(x91891,x91891),x91892),x91893)))) % 153.71/153.55 [9269]~P134(f327(f327(f329(f840(f835(x92691),f835(x92691))),f327(f327(f236(f835(x92691),f835(x92691)),x92692),x92693)),f133(x92691,x92694)))+E(f327(f327(f155(x92691),f327(f177(f835(x92691)),x92692)),x92693),x92692)+P134(f327(f327(f228(a834),f717(x92694,x92693,x92692,x92691)),f327(f327(f231(a834),f327(f177(f835(x92691)),x92692)),f327(f177(f835(x92691)),x92693)))) % 153.71/153.55 [9288]~P134(f327(f327(f329(f840(f835(x92881),f835(x92881))),f327(f327(f236(f835(x92881),f835(x92881)),x92882),x92883)),f133(x92881,x92884)))+P134(f327(f327(f228(a834),f327(f177(f835(x92881)),x92882)),f327(f177(f835(x92881)),x92883)))+P134(f327(f327(f228(a834),f717(x92884,x92883,x92882,x92881)),f327(f327(f231(a834),f327(f177(f835(x92881)),x92882)),f327(f177(f835(x92881)),x92883)))) % 153.71/153.55 [9567]~P134(f327(f327(f327(x95671,f692(x95671,x95674,x95673,x95672)),f693(x95671,x95674,x95673,x95672)),f694(x95671,x95674,x95673,x95672)))+P134(f327(f327(f327(x95671,x95672),x95673),x95674))+~P134(f327(f316(f840(f841(a1,f838(f835(a830))),f840(a1,a1)),a306),f327(f327(f236(f841(a1,f838(f835(a830))),f840(a1,a1)),x95672),f327(f327(f236(a1,a1),x95673),x95674)))) % 153.71/153.55 [9628]P134(f327(f327(f327(x96281,x96282),x96283),x96284))+P134(f327(f316(f840(f841(a1,f838(f835(a830))),f840(a1,a1)),a306),f327(f327(f236(f841(a1,f838(f835(a830))),f840(a1,a1)),f692(x96281,x96284,x96283,x96282)),f327(f327(f236(a1,a1),f693(x96281,x96284,x96283,x96282)),f694(x96281,x96284,x96283,x96282)))))+~P134(f327(f316(f840(f841(a1,f838(f835(a830))),f840(a1,a1)),a306),f327(f327(f236(f841(a1,f838(f835(a830))),f840(a1,a1)),x96282),f327(f327(f236(a1,a1),x96283),x96284)))) % 153.71/153.55 [9665]~P134(f327(f327(f329(f840(f835(x96651),f835(x96651))),f327(f327(f236(f835(x96651),f835(x96651)),x96652),x96653)),f133(x96651,x96654)))+E(f327(f327(f155(x96651),f327(f177(f835(x96651)),x96652)),x96653),x96652)+P134(f327(f327(f329(f840(x96651,x96651)),f327(f327(f236(x96651,x96651),f327(f327(f146(x96651),x96652),f717(x96654,x96653,x96652,x96651))),f327(f327(f146(x96651),x96653),f717(x96654,x96653,x96652,x96651)))),x96654)) % 153.71/153.55 [9668]~P134(f327(f327(f329(f840(f835(x96681),f835(x96681))),f327(f327(f236(f835(x96681),f835(x96681)),x96682),x96683)),f133(x96681,x96684)))+P134(f327(f327(f228(a834),f327(f177(f835(x96681)),x96682)),f327(f177(f835(x96681)),x96683)))+P134(f327(f327(f329(f840(x96681,x96681)),f327(f327(f236(x96681,x96681),f327(f327(f146(x96681),x96682),f717(x96684,x96683,x96682,x96681))),f327(f327(f146(x96681),x96683),f717(x96684,x96683,x96682,x96681)))),x96684)) % 153.71/153.55 [9738]~E(f327(f177(f835(x97381)),x97382),f327(f177(f835(x97381)),x97383))+P134(f327(f327(f329(f840(f835(x97381),f835(x97381))),f327(f327(f236(f835(x97381),f835(x97381)),x97382),x97383)),f142(x97381,x97384)))+~P134(f327(f327(f329(f840(x97381,x97381)),f327(f327(f236(x97381,x97381),f327(f327(f146(x97381),x97382),f716(x97384,x97383,x97382,x97381))),f327(f327(f146(x97381),x97383),f716(x97384,x97383,x97382,x97381)))),x97384)) % 153.71/153.55 [9874]~P65(x98741)+~P134(f327(f66(x98742),x98744))+E(f327(f148(x98741),f327(f327(f138(x98742,x98741),x98743),f94(f835(x98742),f327(f327(f20(f835(x98742),a831,a831),f327(f327(f10(a831,f841(a831,a831),f835(x98742)),a325),f327(f327(f9(f835(x98742),f841(x98742,a831),a831),f327(f327(f10(f841(x98742,a831),f841(f841(x98742,a831),a831),f835(x98742)),a324),f154(x98742))),x98744))),f124(x98742))))),f220(x98742,x98741,x98743,x98744)) % 153.71/153.55 [7301]~P58(x73012)+E(x73011,f2(x73012))+E(f327(f327(f278(x73012),f327(f327(f84(x73012),x73013),f327(f327(f85(x73012),x73014),x73011))),x73011),f327(f327(f84(x73012),x73014),f327(f327(f278(x73012),x73013),x73011))) % 153.71/153.55 [7302]~P7(x73022)+E(x73021,f2(x73022))+E(f327(f327(f44(x73022),f327(f327(f84(x73022),x73023),f327(f327(f85(x73022),x73024),x73021))),x73021),f327(f327(f84(x73022),x73024),f327(f327(f44(x73022),x73023),x73021))) % 153.71/153.55 [7303]~P7(x73032)+E(x73031,f2(x73032))+E(f327(f327(f44(x73032),f327(f327(f84(x73032),x73033),f327(f327(f85(x73032),x73031),x73034))),x73031),f327(f327(f84(x73032),x73034),f327(f327(f44(x73032),x73033),x73031))) % 153.71/153.55 [7541]~P58(x75412)+E(x75411,f2(x75412))+E(f327(f327(f278(x75412),f327(f327(f84(x75412),x75413),f327(f327(f85(x75412),x75414),x75411))),x75411),f327(f327(f84(x75412),f327(f327(f278(x75412),x75413),x75411)),x75414)) % 153.71/153.55 [7542]~P59(x75422)+E(x75421,f2(x75422))+E(f327(f327(f278(x75422),f327(f327(f84(x75422),x75423),f327(f327(f85(x75422),x75421),x75424))),x75421),f327(f327(f84(x75422),f327(f327(f278(x75422),x75423),x75421)),x75424)) % 153.71/153.55 [7543]~P59(x75432)+E(x75431,f2(x75432))+E(f327(f327(f278(x75432),f327(f327(f3(x75432),x75433),f327(f327(f85(x75432),x75431),x75434))),x75431),f327(f327(f3(x75432),f327(f327(f278(x75432),x75433),x75431)),x75434)) % 153.71/153.55 [8571]~E(f327(f327(f276(x85711,x85711,x85711),x85712),x85714),f176(f841(f840(x85711,x85711),a831)))+~E(f327(f327(f276(x85711,x85711,x85711),x85712),x85713),f176(f841(f840(x85711,x85711),a831)))+E(f327(f327(f276(x85711,x85711,x85711),x85712),f327(f327(f100(f841(f840(x85711,x85711),a831)),x85713),x85714)),f176(f841(f840(x85711,x85711),a831))) % 153.71/153.55 [8683]~P134(f327(f327(f227(f841(x86831,a831)),x86833),x86834))+~P134(f327(f327(f227(f841(x86831,a831)),x86832),x86834))+P134(f327(f327(f227(f841(x86831,a831)),f327(f327(f100(f841(x86831,a831)),x86832),x86833)),x86834)) % 153.71/153.55 [9016]~P134(f327(f66(x90161),x90164))+~P134(f327(f66(x90161),x90163))+E(f327(f327(f3(a834),f327(f327(f84(a834),f327(f327(f8(x90161,a834),x90162),x90163)),f327(f327(f8(x90161,a834),x90162),x90164))),f327(f327(f8(x90161,a834),x90162),f327(f327(f101(f841(x90161,a831)),x90163),x90164))),f327(f327(f8(x90161,a834),x90162),f327(f327(f100(f841(x90161,a831)),x90163),x90164))) % 153.71/153.55 [9091]~P134(f327(f327(f329(x90911),x90913),x90912))+~P134(f327(f327(f227(f841(x90911,a831)),x90912),f327(f327(f297(x90911),x90913),x90914)))+P134(f327(f327(f227(f841(x90911,a831)),f327(f327(f3(f841(x90911,a831)),x90912),f327(f327(f297(x90911),x90913),f176(f841(x90911,a831))))),x90914)) % 153.71/153.55 [9243]~P134(f327(f327(f329(x92431),x92433),x92432))+P134(f327(f327(f227(f841(x92431,a831)),x92432),f327(f327(f297(x92431),x92433),x92434)))+~P134(f327(f327(f227(f841(x92431,a831)),f327(f327(f3(f841(x92431,a831)),x92432),f327(f327(f297(x92431),x92433),f176(f841(x92431,a831))))),x92434)) % 153.71/153.55 [9326]~P134(f327(f327(f228(a834),x93262),x93264))+~P134(f327(f327(f227(a834),x93261),x93263))+P134(f327(f327(f329(f840(f840(a834,a834),f840(a834,a834))),f327(f327(f236(f840(a834,a834),f840(a834,a834)),f327(f327(f236(a834,a834),x93261),x93262)),f327(f327(f236(a834,a834),x93263),x93264))),a40)) % 153.71/153.55 [9327]~P134(f327(f327(f227(a834),x93272),x93274))+~P134(f327(f327(f227(a834),x93271),x93273))+P134(f327(f327(f329(f840(f840(a834,a834),f840(a834,a834))),f327(f327(f236(f840(a834,a834),f840(a834,a834)),f327(f327(f236(a834,a834),x93271),x93272)),f327(f327(f236(a834,a834),x93273),x93274))),a74)) % 153.71/153.55 [9703]~P28(x97031,f841(f841(x97031,a831),a831),f327(f327(f9(x97031,f841(f840(x97031,x97031),a831),f841(f841(x97031,a831),a831)),f327(f327(f10(f841(x97031,a831),f841(f841(f840(x97031,x97031),a831),f841(f841(x97031,a831),a831)),x97031),f62(x97031)),f327(f327(f9(x97031,f841(x97031,a831),f841(x97031,a831)),f297(x97031)),f176(f841(x97031,a831))))),x97033),x97032)+~P134(f327(f327(f329(x97031),x97034),x97032))+E(f327(f327(f3(f841(f841(x97031,a831),a831)),f327(f327(f62(x97031),x97032),x97033)),f327(f327(f62(x97031),f327(f327(f297(x97031),x97034),f176(f841(x97031,a831)))),x97033)),f327(f327(f62(x97031),f327(f327(f3(f841(x97031,a831)),x97032),f327(f327(f297(x97031),x97034),f176(f841(x97031,a831))))),x97033)) % 153.71/153.55 [9841]~P45(x98411,x98412,x98414)+~P134(f327(f327(f329(f840(x98411,x98411)),x98413),x98414))+P134(f327(f327(f246(x98411,x98411,a831),f327(f327(f9(x98411,f841(x98411,a831),f841(x98411,a831)),f327(f327(f10(f841(a831,a831),f841(f841(x98411,a831),f841(x98411,a831)),x98411),f10(a831,a831,x98411)),f327(f327(f10(a831,f841(a831,a831),x98411),a325),f327(f327(f9(x98411,f841(x98411,a831),a831),f329(x98411)),x98412)))),f327(f327(f9(x98411,f841(x98411,a831),a831),f329(x98411)),x98412))),x98413)) % 153.71/153.55 [9848]P134(f327(f66(x98481),x98482))+~P134(f327(f66(x98483),f327(f298(x98481,x98483,x98484),x98482)))+~P134(f327(f66(x98481),f327(f251(x98481),f327(f327(f20(x98481,a831,a831),f327(f327(f10(a831,f841(a831,a831),x98481),a325),f327(f327(f9(x98481,f841(x98481,a831),a831),f329(x98481)),x98482))),f327(f327(f9(x98481,x98483,a831),f327(f327(f10(x98483,f841(x98483,a831),x98481),a324),x98484)),f327(x98484,f580(x98484,x98483,x98482,x98481))))))) % 153.71/153.55 [7990]~P59(x79902)+E(x79901,f2(x79902))+E(f327(f327(f278(x79902),f327(f327(f84(x79902),f327(f327(f85(x79902),x79901),x79903)),x79904)),x79901),f327(f327(f84(x79902),x79903),f327(f327(f278(x79902),x79904),x79901))) % 153.71/153.55 [7991]~P59(x79912)+E(x79911,f2(x79912))+E(f327(f327(f278(x79912),f327(f327(f3(x79912),f327(f327(f85(x79912),x79911),x79913)),x79914)),x79911),f327(f327(f3(x79912),x79913),f327(f327(f278(x79912),x79914),x79911))) % 153.71/153.55 [8815]~E(f327(f327(f276(x88151,x88151,x88151),x88153),x88154),f176(f841(f840(x88151,x88151),a831)))+~E(f327(f327(f276(x88151,x88151,x88151),x88152),x88154),f176(f841(f840(x88151,x88151),a831)))+E(f327(f327(f276(x88151,x88151,x88151),f327(f327(f100(f841(f840(x88151,x88151),a831)),x88152),x88153)),x88154),f176(f841(f840(x88151,x88151),a831))) % 153.71/153.55 [9787]~P137(x97871)+~P137(x97872)+E(f327(f327(f305(x97871),f327(f327(f9(x97871,a98,f838(f835(a830))),f327(f327(f10(f841(x97872,f838(f835(a830))),f841(a98,f838(f835(a830))),x97871),f305(x97872)),f327(f327(f10(f841(x97872,f840(x97871,x97872)),f841(x97872,f838(f835(a830))),x97871),f327(f10(f840(x97871,x97872),f838(f835(a830)),x97872),x97873)),f236(x97871,x97872)))),x97874)),x97874),f327(f327(f305(f840(x97871,x97872)),x97873),x97874)) % 153.71/153.55 [9779]P134(f327(x97791,f562(x97792,x97793,x97791,x97794)))+~P134(f327(f66(x97794),f327(f251(x97794),x97791)))+P134(f327(f66(x97793),f327(f251(x97793),f327(f327(f10(f841(x97794,a831),a831,x97793),f91(x97794)),f327(f327(f10(f841(x97794,a831),f841(x97794,a831),x97793),f327(f20(x97794,a831,a831),f327(f327(f10(a831,f841(a831,a831),x97794),a325),x97791))),x97792))))) % 153.71/153.55 [9800]~P134(f327(f66(x98002),f327(f251(x98002),x98003)))+~P134(f327(f66(x98001),f327(f251(x98001),f327(f327(f9(x98001,x98002,a831),x98004),f562(x98004,x98001,x98003,x98002)))))+P134(f327(f66(x98001),f327(f251(x98001),f327(f327(f10(f841(x98002,a831),a831,x98001),f91(x98002)),f327(f327(f10(f841(x98002,a831),f841(x98002,a831),x98001),f327(f20(x98002,a831,a831),f327(f327(f10(a831,f841(a831,a831),x98002),a325),x98003))),x98004))))) % 153.71/153.55 [5418]~P36(x54181,x54183,x54185)+~P36(x54182,x54185,x54184)+P36(f36(x54181,x54182),x54183,x54184) % 153.71/153.55 [5519]~P36(x55194,x55192,x55195)+P36(f33(x55191,x55193,x55194),x55192,x55195)+P134(f327(x55191,x55192)) % 153.71/153.55 [5619]~P36(x56192,x56194,x56195)+P36(f33(x56191,x56192,x56193),x56194,x56195)+~P134(f327(x56191,x56194)) % 153.71/153.55 [5678]~E(x56785,x56782)+P38(f35(x56781,x56783),x56782,x56784,x56785)+P134(f327(x56781,x56782)) % 153.71/153.55 [5794]P36(x57941,x57942,x57943)+~P36(f33(x57944,x57945,x57941),x57942,x57943)+P134(f327(x57944,x57942)) % 153.71/153.55 [5854]P36(x58541,x58542,x58543)+~P36(f33(x58544,x58541,x58545),x58542,x58543)+~P134(f327(x58544,x58542)) % 153.71/153.55 [5881]P36(x58811,x58812,x58813)+P36(x58814,x58812,x58813)+~P36(f33(x58815,x58811,x58814),x58812,x58813) % 153.71/153.55 [6257]E(x62571,x62572)+~P38(f35(x62573,x62574),x62571,x62575,x62572)+P134(f327(x62573,x62571)) % 153.71/153.55 [7803]~P38(x78032,x78033,x78034,x78035)+~P38(f35(x78031,x78032),x78035,x78034,x78033)+P38(f35(x78031,x78032),x78033,x78034,x78033) % 153.71/153.55 [8933]E(x89331,x89332)+~P38(f35(x89335,x89333),x89331,x89334,x89332)+P38(x89333,x89331,x89334,f402(x89332,x89334,x89331,x89333,x89335)) % 153.71/153.55 [8934]E(x89341,x89342)+~P38(f35(x89345,x89343),x89341,x89344,x89342)+P38(x89343,x89341,x89344,f459(x89342,x89344,x89341,x89343,x89345)) % 153.71/153.55 [8936]E(x89361,x89362)+P38(f35(x89363,x89364),f402(x89361,x89365,x89362,x89364,x89363),x89365,x89361)+~P38(f35(x89363,x89364),x89362,x89365,x89361) % 153.71/153.55 [8937]E(x89371,x89372)+P38(f35(x89373,x89374),f459(x89371,x89375,x89372,x89374,x89373),x89375,x89371)+~P38(f35(x89373,x89374),x89372,x89375,x89371) % 153.71/153.55 [8939]~P38(f35(x89395,x89391),x89392,x89393,x89394)+P38(x89391,x89392,x89393,f402(x89394,x89393,x89392,x89391,x89395))+~P134(f327(x89395,x89392)) % 153.71/153.55 [8940]~P38(f35(x89405,x89401),x89402,x89403,x89404)+P38(x89401,x89402,x89403,f459(x89404,x89403,x89402,x89401,x89405))+~P134(f327(x89405,x89402)) % 153.71/153.55 [8944]~P38(f35(x89441,x89442),x89445,x89444,x89443)+P38(f35(x89441,x89442),f402(x89443,x89444,x89445,x89442,x89441),x89444,x89443)+~P134(f327(x89441,x89445)) % 153.71/153.55 [8945]~P38(f35(x89451,x89452),x89455,x89454,x89453)+P38(f35(x89451,x89452),f459(x89453,x89454,x89455,x89452,x89451),x89454,x89453)+~P134(f327(x89451,x89455)) % 153.71/153.55 [6405]E(x64051,x64052)+~E(f327(x64053,x64051),f327(x64053,x64052))+~P28(x64054,x64055,x64053,f234(f841(x64054,a831))) % 153.71/153.55 [6565]~E(f327(x65653,x65655),f179(x65652))+~E(f327(x65654,x65655),f179(x65652))+E(f327(f166(x65651,x65652,x65653,x65654),x65655),f179(x65652)) % 153.71/153.55 [7342]E(x73421,x73422)+~P28(x73423,x73424,x73425,f234(f841(x73423,a831)))+~E(f327(f298(x73423,x73424,x73425),x73421),f327(f298(x73423,x73424,x73425),x73422)) % 153.71/153.55 [7597]P28(x75972,x75973,f502(x75974,x75973,x75972,x75971),x75971)+~E(f327(f298(x75973,x75972,x75975),x75974),x75971)+E(x75971,f176(f841(x75972,a831))) % 153.71/153.55 [8119]~P134(f327(f327(x81193,x81192),x81195))+~P134(f327(f327(x81193,x81194),x81192))+P134(f327(f327(f329(x81191),x81192),f277(x81191,x81193,x81194,x81195))) % 153.71/153.55 [8120]~P134(f327(f327(x81203,x81202),x81205))+~P134(f327(f327(x81203,x81204),x81202))+P134(f327(f327(f329(x81201),x81202),f286(x81201,x81203,x81204,x81205))) % 153.71/153.55 [8645]~P28(x86451,x86453,x86455,f234(f841(x86451,a831)))+~P28(x86453,x86452,x86454,f234(f841(x86453,a831)))+P28(x86451,x86452,f327(f77(x86453,x86452,x86451,x86454),x86455),f234(f841(x86451,a831))) % 153.71/153.55 [9139]P134(f327(f327(f329(f840(x91391,x91391)),f327(f327(f236(x91391,x91391),x91392),x91393)),f295(x91391,x91394)))+~P134(f327(f327(f329(f840(x91391,x91391)),f327(f327(f236(x91391,x91391),x91392),x91395)),f295(x91391,x91394)))+~P134(f327(f327(f329(f840(x91391,x91391)),f327(f327(f236(x91391,x91391),x91395),x91393)),f295(x91391,x91394))) % 153.71/153.55 [9176]~P97(x91762)+~P134(f327(f124(x91761),x91765))+P134(f327(f124(x91761),f135(x91761,x91762,x91763,x91764,x91765))) % 153.71/153.55 [5191]~E(x51912,f112(x51911))+E(f327(f327(f122(x51911),x51912),x51913),f327(f327(f136(x51911),x51914),x51915))+~E(x51913,f327(f327(f136(x51911),x51914),x51915)) % 153.71/153.55 [5192]~E(x51922,f112(x51921))+E(f327(f327(f122(x51921),x51922),x51923),f327(f327(f136(x51921),x51924),x51925))+~E(f327(f327(f136(x51921),x51924),x51925),x51923) % 153.71/153.55 [6360]~E(f327(f177(f835(x63601)),x63605),f327(f177(f835(x63602)),x63604))+E(f327(f327(f138(f840(x63601,x63602),x63602),f245(x63601,x63602)),x63603),x63604)+~E(f327(f327(f163(x63601,x63602),x63605),x63604),x63603) % 153.71/153.55 [6361]~E(f327(f177(f835(x63611)),x63614),f327(f177(f835(x63612)),x63615))+E(f327(f327(f138(f840(x63611,x63612),x63611),f235(x63611,x63612)),x63613),x63614)+~E(f327(f327(f163(x63611,x63612),x63614),x63615),x63613) % 153.71/153.55 [6850]~P97(x68501)+~P18(x68501,f327(f327(f138(x68502,x68501),x68503),x68505))+P18(x68501,f327(f327(f138(x68502,x68501),x68503),f327(f123(x68502,x68504),x68505))) % 153.71/153.55 [7001]~P97(x70011)+P18(x70011,f327(f327(f138(x70012,x70011),x70013),f152(x70012,x70014,x70015)))+~P18(x70011,f327(f327(f138(x70012,x70011),x70013),x70015)) % 153.71/153.55 [7024]~P51(x70243,x70242,x70245)+~P51(x70241,x70243,x70244)+P51(x70241,x70242,f327(f327(f276(x70241,x70243,x70242),x70244),x70245)) % 153.71/153.55 [7116]E(x71161,x71162)+~P28(x71163,x71164,x71165,f234(f841(x71163,a831)))+~E(f327(f327(f138(x71163,x71164),x71165),x71161),f327(f327(f138(x71163,x71164),x71165),x71162)) % 153.71/153.55 [7199]P38(x71991,x71992,x71993,x71994)+~P38(x71991,x71992,x71995,x71994)+~P134(f327(f327(f227(a834),x71995),x71993)) % 153.71/153.55 [7288]~P134(f327(f327(f228(a834),x72881),f327(x72883,x72885)))+P134(f327(f327(f228(a834),x72881),f139(x72882,x72883,x72884)))+~P134(f327(f327(f329(x72882),x72885),f327(f154(x72882),x72884))) % 153.71/153.55 [7289]~P134(f327(f327(f227(a834),x72891),f327(x72893,x72895)))+P134(f327(f327(f227(a834),x72891),f139(x72892,x72893,x72894)))+~P134(f327(f327(f329(x72892),x72895),f327(f154(x72892),x72894))) % 153.71/153.55 [7695]~P96(x76951)+P134(f327(f327(f227(f841(x76951,a831)),f290(x76951,x76952,x76953)),f290(x76951,x76954,x76955)))+P134(f327(f327(f227(x76951),x76952),x76953)) % 153.71/153.55 [7721]~P9(x77211)+P134(f327(f327(f227(x77211),f327(f327(f48(x77212,x77211),x77213),x77214)),f327(x77214,x77215)))+~P134(f327(f327(f329(x77212),x77215),x77213)) % 153.71/153.55 [7790]~P28(x77901,x77902,x77904,x77903)+E(f327(f81(x77901,x77902,x77903,x77904),f327(x77904,x77905)),x77905)+~P134(f327(f327(f329(x77901),x77905),x77903)) % 153.71/153.55 [7979]~P134(f327(x79791,x79795))+P134(f327(x79791,f367(x79791,x79792,x79793,x79794)))+~P134(f327(f327(f329(x79794),x79795),x79793)) % 153.71/153.55 [7980]~P134(f327(x79801,x79805))+P134(f327(x79801,f367(x79801,x79802,x79803,x79804)))+~P134(f327(f327(f329(x79804),x79805),x79802)) % 153.71/153.55 [8071]P134(f327(f66(x80711),x80712))+~P134(f327(f66(x80713),x80714))+~P134(f327(f327(f227(f841(x80711,a831)),x80712),f327(f298(x80713,x80711,x80715),x80714))) % 153.71/153.55 [8231]E(x82311,x82312)+~P28(x82313,x82314,x82315,f327(f327(f100(f841(x82313,a831)),f327(f154(x82313),x82311)),f327(f154(x82313),x82312)))+~E(f327(f327(f138(x82313,x82314),x82315),x82311),f327(f327(f138(x82313,x82314),x82315),x82312)) % 153.71/153.55 [8287]~P96(x82871)+~P134(f327(f327(f228(f841(x82871,a831)),f290(x82871,x82874,x82875)),f290(x82871,x82872,x82873)))+P134(f327(f327(f227(x82871),x82872),x82873)) % 153.71/153.55 [8348]~P28(x83481,x83484,x83485,f234(f841(x83481,a831)))+~P134(f327(f327(f329(x83484),f327(x83485,x83482)),f327(f298(x83481,x83484,x83485),x83483)))+P134(f327(f327(f329(x83481),x83482),x83483)) % 153.71/153.55 [8422]P134(f327(x84221,x84222))+~P134(f327(x84221,f365(x84221,x84223,x84224,x84225)))+~P134(f327(f327(f329(x84225),x84222),x84224)) % 153.71/153.55 [8423]P134(f327(x84231,x84232))+~P134(f327(x84231,f365(x84231,x84233,x84234,x84235)))+~P134(f327(f327(f329(x84235),x84232),x84233)) % 153.71/153.55 [8680]~P28(x86802,x86803,x86801,x86804)+E(f327(x86801,f327(f81(x86802,x86803,x86804,x86801),x86805)),x86805)+~P134(f327(f327(f329(x86803),x86805),f327(f298(x86802,x86803,x86801),x86804))) % 153.71/153.55 [8762]E(x87621,f112(x87622))+E(f327(f327(f136(x87622),x87623),f714(x87624,x87623,x87625,x87621,x87622)),x87621)+~E(f327(f327(f122(x87622),x87621),x87625),f327(f327(f136(x87622),x87623),x87624)) % 153.71/153.55 [8763]E(x87631,f112(x87632))+E(f327(f327(f136(x87632),x87633),f715(x87634,x87631,x87635,x87633,x87632)),x87631)+~E(f327(f327(f122(x87632),x87631),x87634),f327(f327(f136(x87632),x87633),x87635)) % 153.71/153.55 [8778]E(f327(f327(f136(x87782),x87783),f714(x87784,x87783,x87781,x87785,x87782)),x87785)+~E(f327(f327(f122(x87782),x87785),x87781),f327(f327(f136(x87782),x87783),x87784))+E(x87781,f327(f327(f136(x87782),x87783),x87784)) % 153.71/153.55 [8779]E(f327(f327(f136(x87791),x87792),f715(x87794,x87795,x87793,x87792,x87791)),x87795)+~E(f327(f327(f122(x87791),x87795),x87794),f327(f327(f136(x87791),x87792),x87793))+E(f327(f327(f136(x87791),x87792),x87793),x87794) % 153.71/153.55 [8851]~E(f327(f298(x88513,x88512,x88514),f234(f841(x88513,a831))),f234(f841(x88512,a831)))+~E(f327(f298(x88511,x88513,x88515),f234(f841(x88511,a831))),f234(f841(x88513,a831)))+E(f327(f298(x88511,x88512,f327(f77(x88513,x88512,x88511,x88514),x88515)),f234(f841(x88511,a831))),f234(f841(x88512,a831))) % 153.71/153.55 [9182]E(x91821,f112(x91822))+~E(f327(f327(f122(x91822),x91821),x91823),f327(f327(f136(x91822),x91825),x91824))+E(f327(f327(f122(x91822),f715(x91823,x91821,x91824,x91825,x91822)),x91823),x91824) % 153.71/153.55 [9183]E(x91831,f112(x91832))+~E(f327(f327(f122(x91832),x91831),x91835),f327(f327(f136(x91832),x91834),x91833))+E(f327(f327(f122(x91832),f714(x91833,x91834,x91835,x91831,x91832)),x91835),x91833) % 153.71/153.55 [9190]E(f327(f327(f122(x91902),f714(x91904,x91903,x91901,x91905,x91902)),x91901),x91904)+~E(f327(f327(f122(x91902),x91905),x91901),f327(f327(f136(x91902),x91903),x91904))+E(x91901,f327(f327(f136(x91902),x91903),x91904)) % 153.71/153.55 [9191]~E(f327(f327(f122(x91911),x91915),x91914),f327(f327(f136(x91911),x91912),x91913))+E(f327(f327(f122(x91911),f715(x91914,x91915,x91913,x91912,x91911)),x91914),x91913)+E(f327(f327(f136(x91911),x91912),x91913),x91914) % 153.71/153.55 [9192]E(f327(f327(f122(x91921),x91925),f719(x91923,x91922,x91924,x91925,x91921)),x91922)+E(f327(f327(f122(x91921),x91922),f718(x91923,x91922,x91924,x91925,x91921)),x91925)+~E(f327(f327(f122(x91921),x91925),x91924),f327(f327(f122(x91921),x91922),x91923)) % 153.71/153.55 [9223]~P97(x92231)+P18(x92231,f327(f327(f138(x92232,x92231),x92233),f135(x92232,x92231,x92233,x92234,x92235)))+~P18(x92231,f327(f327(f138(x92232,x92231),x92233),x92235)) % 153.71/153.55 [9239]~P55(x92395,x92391,x92394,x92393)+P134(f327(f327(x92391,x92392),f519(x92393,x92394,x92391,x92395,x92392)))+~P134(f327(f327(f329(x92395),x92392),x92394)) % 153.71/153.55 [9335]~P134(f327(f327(f329(f840(x93351,x93351)),f327(f327(f236(x93351,x93351),x93355),x93353)),f295(x93351,x93354)))+P134(f327(f327(f329(f840(x93351,x93351)),f327(f327(f236(x93351,x93351),x93352),x93353)),f327(f327(f276(x93351,x93351,x93351),x93354),f295(x93351,x93354))))+~P134(f327(f327(f329(f840(x93351,x93351)),f327(f327(f236(x93351,x93351),x93352),x93355)),f327(f327(f276(x93351,x93351,x93351),x93354),f295(x93351,x93354)))) % 153.71/153.55 [9336]~P134(f327(f327(f329(f840(x93361,x93361)),f327(f327(f236(x93361,x93361),x93362),x93365)),f295(x93361,x93364)))+P134(f327(f327(f329(f840(x93361,x93361)),f327(f327(f236(x93361,x93361),x93362),x93363)),f327(f327(f276(x93361,x93361,x93361),x93364),f295(x93361,x93364))))+~P134(f327(f327(f329(f840(x93361,x93361)),f327(f327(f236(x93361,x93361),x93365),x93363)),f327(f327(f276(x93361,x93361,x93361),x93364),f295(x93361,x93364)))) % 153.71/153.55 [9338]P134(f327(f327(f329(f840(f835(x93381),f835(x93381))),f327(f327(f236(f835(x93381),f835(x93381)),x93382),x93383)),f142(x93381,f295(x93381,x93384))))+~P134(f327(f327(f329(f840(f835(x93381),f835(x93381))),f327(f327(f236(f835(x93381),f835(x93381)),x93382),x93385)),f142(x93381,f295(x93381,x93384))))+~P134(f327(f327(f329(f840(f835(x93381),f835(x93381))),f327(f327(f236(f835(x93381),f835(x93381)),x93385),x93383)),f142(x93381,f295(x93381,x93384)))) % 153.71/153.55 [9342]E(f327(f327(f122(x93421),x93422),f718(x93423,x93422,x93424,x93425,x93421)),x93425)+E(f327(f327(f122(x93421),f719(x93423,x93422,x93424,x93425,x93421)),x93423),x93424)+~E(f327(f327(f122(x93421),x93422),x93423),f327(f327(f122(x93421),x93425),x93424)) % 153.71/153.55 [9343]E(f327(f327(f122(x93431),x93432),f719(x93433,x93434,x93435,x93432,x93431)),x93434)+E(f327(f327(f122(x93431),f718(x93433,x93434,x93435,x93432,x93431)),x93435),x93433)+~E(f327(f327(f122(x93431),x93432),x93435),f327(f327(f122(x93431),x93434),x93433)) % 153.71/153.55 [9401]P134(f327(f327(f329(f840(x94011,x94011)),f327(f327(f236(x94011,x94011),x94012),x94013)),f327(f327(f276(x94011,x94011,x94011),x94014),f295(x94011,x94014))))+~P134(f327(f327(f329(f840(x94011,x94011)),f327(f327(f236(x94011,x94011),x94012),x94015)),f327(f327(f276(x94011,x94011,x94011),x94014),f295(x94011,x94014))))+~P134(f327(f327(f329(f840(x94011,x94011)),f327(f327(f236(x94011,x94011),x94015),x94013)),f327(f327(f276(x94011,x94011,x94011),x94014),f295(x94011,x94014)))) % 153.71/153.55 [9434]E(f327(f327(f122(x94341),f718(x94342,x94343,x94344,x94345,x94341)),x94344),x94342)+~E(f327(f327(f122(x94341),x94343),x94342),f327(f327(f122(x94341),x94345),x94344))+E(f327(f327(f122(x94341),f719(x94342,x94343,x94344,x94345,x94341)),x94342),x94344) % 153.71/153.55 [9449]~P55(x94491,x94494,x94493,x94492)+~P134(f327(f327(f329(x94491),x94495),x94493))+P134(f327(f327(f329(x94491),f519(x94492,x94493,x94494,x94491,x94495)),x94492)) % 153.71/153.55 [9559]~P134(f327(f327(f329(f840(f841(x95591,a831),f841(x95591,a831))),f327(f327(f236(f841(x95591,a831),f841(x95591,a831)),x95594),x95593)),f320(x95591,x95592)))+~P134(f327(f327(f329(x95591),x95595),x95594))+P134(f327(f327(f329(x95591),f611(x95592,x95593,x95594,x95591,x95595)),x95593)) % 153.71/153.55 [6435]~P21(x64352,x64355,x64351)+~P134(f327(f66(x64352),x64354))+E(f327(x64351,f327(f327(f297(x64352),x64353),x64354)),f327(f327(f69(x64352,x64352,x64355),x64353),x64354)) % 153.71/153.55 [6436]~E(x64363,x64364)+~E(x64362,x64365)+E(f327(f327(f297(x64361),x64362),f327(f327(f297(x64361),x64363),f176(f841(x64361,a831)))),f327(f327(f297(x64361),x64364),f327(f327(f297(x64361),x64365),f176(f841(x64361,a831))))) % 153.71/153.55 [6446]P134(f327(x64462,x64465))+E(f158(x64461,x64462,f327(f327(f122(x64461),x64463),x64464)),f158(x64461,x64462,x64463))+~P134(f327(f327(f329(x64461),x64465),f327(f154(x64461),x64463))) % 153.71/153.55 [6484]E(f327(x64841,x64842),f234(f841(x64843,a831)))+~E(f327(f327(f48(x64844,f841(x64843,a831)),x64845),x64841),f234(f841(x64843,a831)))+~P134(f327(f327(f329(x64844),x64842),x64845)) % 153.71/153.55 [6485]E(f327(x64851,x64852),f176(f841(x64853,a831)))+~E(f327(f327(f47(x64854,f841(x64853,a831)),x64855),x64851),f176(f841(x64853,a831)))+~P134(f327(f327(f329(x64854),x64852),x64855)) % 153.71/153.55 [7011]~E(x70112,x70114)+~P135(x70111)+E(f327(f327(f84(x70111),f327(f327(f85(x70111),x70112),x70113)),f327(f327(f85(x70111),x70114),x70115)),f327(f327(f84(x70111),f327(f327(f85(x70111),x70112),x70115)),f327(f327(f85(x70111),x70114),x70113))) % 153.71/153.55 [7073]~P9(x70731)+~P134(f327(f327(f329(x70734),x70733),x70735))+P134(f327(f327(f227(x70731),f327(x70732,x70733)),f327(f327(f47(x70734,x70731),x70735),x70732))) % 153.71/153.55 [7121]~P99(x71211)+P134(f327(f327(f227(x71211),f327(x71212,x71213)),f327(x71214,x71213)))+~P134(f327(f327(f227(f841(x71215,x71211)),x71212),x71214)) % 153.71/153.55 [7256]E(x72561,x72562)+E(x72563,x72561)+~E(f327(f327(f297(x72564),x72561),f327(f327(f297(x72564),x72565),f176(f841(x72564,a831)))),f327(f327(f297(x72564),x72562),f327(f327(f297(x72564),x72563),f176(f841(x72564,a831))))) % 153.71/153.55 [7257]E(x72571,x72572)+E(x72573,x72571)+~E(f327(f327(f297(x72574),x72573),f327(f327(f297(x72574),x72572),f176(f841(x72574,a831)))),f327(f327(f297(x72574),x72575),f327(f327(f297(x72574),x72571),f176(f841(x72574,a831))))) % 153.71/153.55 [7258]E(x72581,x72582)+E(x72581,x72583)+~E(f327(f327(f297(x72584),x72583),f327(f327(f297(x72584),x72582),f176(f841(x72584,a831)))),f327(f327(f297(x72584),x72585),f327(f327(f297(x72584),x72581),f176(f841(x72584,a831))))) % 153.71/153.55 [7259]E(x72591,x72592)+E(x72591,x72593)+~E(f327(f327(f297(x72594),x72591),f327(f327(f297(x72594),x72595),f176(f841(x72594,a831)))),f327(f327(f297(x72594),x72592),f327(f327(f297(x72594),x72593),f176(f841(x72594,a831))))) % 153.71/153.55 [7800]P28(x78001,x78002,x78003,x78004)+~P28(x78001,x78002,x78003,x78005)+~P134(f327(f327(f227(f841(x78001,a831)),x78004),x78005)) % 153.71/153.55 [7970]E(x79701,x79702)+~E(f327(f298(x79703,x79704,x79705),x79701),f327(f298(x79703,x79704,x79705),x79702))+~P28(x79703,x79704,x79705,f327(f327(f100(f841(x79703,a831)),x79701),x79702)) % 153.71/153.55 [8041]P134(f327(x80412,x80414))+E(f327(f327(f125(x80411),f327(f177(f835(x80411)),f158(x80411,x80412,x80413))),x80413),f327(f327(f136(x80411),x80414),x80415))+~E(f327(f327(f122(x80411),f158(x80411,x80412,x80413)),f327(f327(f136(x80411),x80414),x80415)),x80413) % 153.71/153.55 [8069]~P28(x80691,x80692,x80693,x80695)+~P28(x80691,x80692,x80693,x80694)+P28(x80691,x80692,x80693,f327(f327(f101(f841(x80691,a831)),x80694),x80695)) % 153.71/153.55 [8175]~P65(x81751)+E(f327(f327(f84(x81751),f327(x81752,x81753)),f327(f148(x81751),f327(f327(f138(x81754,x81751),x81752),f152(x81754,x81753,x81755)))),f327(f148(x81751),f327(f327(f138(x81754,x81751),x81752),x81755)))+~P134(f327(f327(f329(x81754),x81753),f327(f154(x81754),x81755))) % 153.71/153.55 [8259]~P97(x82591)+~P18(x82591,f327(f327(f138(x82592,x82591),x82593),x82595))+P18(x82591,f327(f327(f138(x82592,x82591),x82593),f327(f327(f134(x82592,x82591,x82593),x82594),x82595))) % 153.71/153.55 [8344]~P9(x83441)+P134(f327(f327(f227(x83441),f327(f327(f47(x83442,x83441),x83443),x83444)),f327(f327(f47(x83442,x83441),x83445),x83444)))+~P134(f327(f327(f227(f841(x83442,a831)),x83443),x83445)) % 153.71/153.55 [8345]~P9(x83451)+P134(f327(f327(f227(x83451),f327(f327(f48(x83452,x83451),x83453),x83454)),f327(f327(f48(x83452,x83451),x83455),x83454)))+~P134(f327(f327(f227(f841(x83452,a831)),x83455),x83453)) % 153.71/153.55 [8375]~P97(x83753)+P134(f327(f124(x83751),x83752))+~P134(f327(f124(x83751),f327(f327(f134(x83751,x83753,x83754),x83755),x83752))) % 153.71/153.55 [8506]~P97(x85061)+~P134(f327(f327(f329(x85062),x85063),f327(f154(x85062),x85064)))+~P134(f327(f124(x85062),f327(f327(f134(x85062,x85061,x85065),x85063),x85064))) % 153.71/153.55 [8581]~P97(x85811)+P18(x85811,f327(f327(f138(x85812,x85811),x85813),x85814))+~P18(x85811,f327(f327(f138(x85812,x85811),x85813),f327(f327(f134(x85812,x85811,x85813),x85815),x85814))) % 153.71/153.55 [8667]~P97(x86672)+E(f327(f327(f134(x86671,x86672,x86673),x86674),x86675),f135(x86671,x86672,x86673,x86674,x86675))+P134(f327(f327(f329(x86672),f327(x86673,x86674)),f327(f298(x86671,x86672,x86673),f327(f154(x86671),x86675)))) % 153.71/153.55 [8734]~P97(x87342)+E(f135(x87341,x87342,x87343,x87344,x87345),x87345)+~P134(f327(f327(f329(x87342),f327(x87343,x87344)),f327(f298(x87341,x87342,x87343),f327(f154(x87341),x87345)))) % 153.71/153.55 [8746]~P28(x87462,x87461,x87463,x87465)+P134(f327(f327(f228(f841(x87461,a831)),f327(f298(x87462,x87461,x87463),x87464)),f327(f298(x87462,x87461,x87463),x87465)))+~P134(f327(f327(f228(f841(x87462,a831)),x87464),x87465)) % 153.71/153.55 [8889]~P28(x88891,x88892,x88893,f234(f841(x88891,a831)))+~P134(f327(f327(f227(f841(x88892,a831)),x88894),f327(f298(x88891,x88892,x88893),x88895)))+P134(f327(f327(f227(f841(x88891,a831)),f327(f300(x88891,x88892,x88893),x88894)),x88895)) % 153.71/153.55 [8908]~E(f327(f298(x89083,x89081,x89084),f234(f841(x89083,a831))),f234(f841(x89081,a831)))+P134(f327(f327(f227(f841(x89081,a831)),x89082),f327(f298(x89083,x89081,x89084),x89085)))+~P134(f327(f327(f227(f841(x89083,a831)),f327(f300(x89083,x89081,x89084),x89082)),x89085)) % 153.71/153.55 [8946]~E(f327(f222(x89462),x89464),f327(f162(x89461,x89462,x89465),x89463))+~P134(f327(f124(x89461),f327(f327(f138(f840(x89461,x89462),x89461),f235(x89461,x89462)),x89465)))+P134(f327(f327(f329(f840(x89461,x89462)),f327(f327(f236(x89461,x89462),x89463),x89464)),f327(f154(f840(x89461,x89462)),x89465))) % 153.71/153.55 [9009]~P28(x90091,x90094,x90095,f234(f841(x90091,a831)))+~P134(f327(f327(f227(f841(x90094,a831)),f327(f298(x90091,x90094,x90095),x90092)),f327(f298(x90091,x90094,x90095),x90093)))+P134(f327(f327(f227(f841(x90091,a831)),x90092),x90093)) % 153.71/153.55 [9075]E(f327(f222(x90751),x90752),f327(f162(x90753,x90751,x90754),x90755))+~P134(f327(f124(x90753),f327(f327(f138(f840(x90753,x90751),x90753),f235(x90753,x90751)),x90754)))+~P134(f327(f327(f329(f840(x90753,x90751)),f327(f327(f236(x90753,x90751),x90755),x90752)),f327(f154(f840(x90753,x90751)),x90754))) % 153.71/153.55 [9077]E(f327(f162(x90771,x90772,x90773),x90774),f327(f222(x90772),x90775))+~P134(f327(f124(x90771),f327(f327(f138(f840(x90771,x90772),x90771),f235(x90771,x90772)),x90773)))+~P134(f327(f327(f329(f840(x90771,x90772)),f327(f327(f236(x90771,x90772),x90774),x90775)),f327(f154(f840(x90771,x90772)),x90773))) % 153.71/153.55 [9112]~P64(x91121)+~E(f327(x91123,f757(x91123,x91124,x91125,x91122,x91121)),f2(x91121))+E(f327(f148(x91121),f327(f327(f138(x91122,x91121),x91123),f327(f123(x91122,x91124),x91125))),f327(f148(x91121),f327(f327(f138(x91122,x91121),x91123),x91125))) % 153.71/153.55 [9283]~P20(x92831,x92832,x92833)+~P134(f327(f66(x92831),x92835))+P134(f327(f71(x92831,x92832,x92833,x92834,x92835),f327(f327(f69(x92831,x92832,x92833),x92834),x92835))) % 153.71/153.55 [9357]P134(f327(x93571,f682(x93572,x93571,x93573,x93574,x93575)))+~P134(f327(f327(f227(f841(x93575,a831)),x93574),x93573))+P134(f327(f327(f227(f841(x93575,a831)),f327(f327(f101(f841(x93575,a831)),x93574),f327(f251(x93575),x93571))),f327(f327(f101(f841(x93575,a831)),x93573),f327(f251(x93575),x93572)))) % 153.71/153.55 [9371]~P64(x93711)+~P134(f327(x93714,f757(x93713,x93714,x93715,x93712,x93711)))+E(f327(f148(x93711),f327(f327(f138(x93712,x93711),x93713),f327(f123(x93712,x93714),x93715))),f327(f148(x93711),f327(f327(f138(x93712,x93711),x93713),x93715))) % 153.71/153.55 [9447]~P9(x94475)+P134(f327(f327(f329(x94471),f626(x94472,x94473,x94471,x94474,x94475)),x94473))+P134(f327(f327(f227(x94475),x94474),f327(f327(f48(x94471,x94475),x94473),x94472))) % 153.71/153.55 [9450]~P64(x94501)+E(f327(f148(x94501),f327(f327(f138(x94502,x94501),x94503),f327(f123(x94502,x94504),x94505))),f327(f148(x94501),f327(f327(f138(x94502,x94501),x94503),x94505)))+P134(f327(f327(f329(x94502),f757(x94503,x94504,x94505,x94502,x94501)),f327(f154(x94502),x94505))) % 153.71/153.55 [9460]~P134(f327(x94605,f682(x94605,x94603,x94604,x94602,x94601)))+~P134(f327(f327(f227(f841(x94601,a831)),x94602),x94604))+P134(f327(f327(f227(f841(x94601,a831)),f327(f327(f101(f841(x94601,a831)),x94602),f327(f251(x94601),x94603))),f327(f327(f101(f841(x94601,a831)),x94604),f327(f251(x94601),x94605)))) % 153.71/153.55 [9524]P134(f327(f327(f329(x95241),f682(x95242,x95243,x95244,x95245,x95241)),x95245))+~P134(f327(f327(f227(f841(x95241,a831)),x95245),x95244))+P134(f327(f327(f227(f841(x95241,a831)),f327(f327(f101(f841(x95241,a831)),x95245),f327(f251(x95241),x95243))),f327(f327(f101(f841(x95241,a831)),x95244),f327(f251(x95241),x95242)))) % 153.71/153.55 [9569]~P9(x95691)+~P134(f327(f327(f227(x95691),x95692),f327(x95695,f626(x95695,x95694,x95693,x95692,x95691))))+P134(f327(f327(f227(x95691),x95692),f327(f327(f48(x95693,x95691),x95694),x95695))) % 153.71/153.55 [9599]~P68(x95991)+~P134(f327(f66(x95992),x95995))+E(f327(f327(f327(f70(x95991,x95992,f85(x95991)),f327(f327(f20(x95992,x95991,x95991),f327(f327(f10(x95991,f841(x95991,x95991),x95992),f85(x95991)),x95993)),x95994)),f82(x95991)),x95995),f327(f327(f85(x95991),f327(f327(f327(f70(x95991,x95992,f85(x95991)),x95993),f82(x95991)),x95995)),f327(f327(f327(f70(x95991,x95992,f85(x95991)),x95994),f82(x95991)),x95995))) % 153.71/153.55 [9649]~P134(f327(f327(f329(f840(f841(x96491,a831),f841(x96491,a831))),f327(f327(f236(f841(x96491,a831),f841(x96491,a831)),x96495),x96494)),f320(x96491,x96493)))+~P134(f327(f327(f329(x96491),x96492),x96495))+P134(f327(f327(f329(f840(x96491,x96491)),f327(f327(f236(x96491,x96491),x96492),f611(x96493,x96494,x96495,x96491,x96492))),x96493)) % 153.71/153.55 [9797]~P134(f327(f327(f329(f840(f835(x97971),f835(x97971))),f327(f327(f236(f835(x97971),f835(x97971)),f327(f327(f122(x97971),x97975),x97972)),f327(f327(f122(x97971),x97975),x97973))),f133(x97971,x97974)))+P134(f327(f327(f329(f840(f835(x97971),f835(x97971))),f327(f327(f236(f835(x97971),f835(x97971)),x97972),x97973)),f133(x97971,x97974)))+P134(f327(f327(f329(f840(x97971,x97971)),f327(f327(f236(x97971,x97971),f720(x97974,x97973,x97972,x97975,x97971)),f720(x97974,x97973,x97972,x97975,x97971))),x97974)) % 153.71/153.55 [7124]~E(x71243,x71245)+E(f327(f327(f146(x71241),f327(f327(f143(x71241,x71242),x71243),x71244)),x71245),x71244)+~P134(f327(f327(f228(a834),x71243),f327(f177(f835(x71241)),x71242))) % 153.71/153.55 [7133]~E(f327(f177(f835(x71331)),x71333),f327(f177(f835(x71332)),x71334))+E(f327(f162(x71331,x71332,f327(f327(f163(x71331,x71332),x71333),x71334)),x71335),f179(x71332))+P134(f327(f327(f329(x71331),x71335),f327(f154(x71331),x71333))) % 153.71/153.55 [7252]~E(f327(f327(f122(x72521),x72522),x72524),f327(f327(f122(x72521),x72523),x72525))+E(f327(f327(f155(x72521),f327(f177(f835(x72521)),x72522)),x72523),x72522)+P134(f327(f327(f227(a834),f327(f177(f835(x72521)),x72523)),f327(f177(f835(x72521)),x72522))) % 153.71/153.55 [7761]~E(f327(f327(f122(x77611),x77612),x77614),f327(f327(f122(x77611),x77613),x77615))+E(f327(f327(f155(x77611),f327(f177(f835(x77611)),x77612)),x77613),x77612)+~P134(f327(f327(f227(a834),f327(f177(f835(x77611)),x77612)),f327(f177(f835(x77611)),x77613))) % 153.71/153.55 [7785]~P134(f327(f66(x77851),f327(x77854,x77855)))+~P134(f327(f327(f329(x77852),x77855),x77853))+P134(f327(f66(x77851),f327(f327(f48(x77852,f841(x77851,a831)),x77853),x77854))) % 153.71/153.55 [7897]~E(f327(f177(f835(x78971)),x78972),f327(f177(f835(x78973)),x78974))+~E(f327(f162(x78971,x78973,f327(f327(f163(x78971,x78973),x78972),x78974)),x78975),f179(x78973))+~P134(f327(f327(f329(x78971),x78975),f327(f154(x78971),x78972))) % 153.71/153.55 [7955]~P45(x79551,x79553,x79555)+~P45(x79551,x79552,x79554)+P45(x79551,f327(f327(f100(f841(x79551,a831)),x79552),x79553),f327(f327(f100(f841(f840(x79551,x79551),a831)),x79554),x79555)) % 153.71/153.55 [7956]~P45(x79561,x79563,x79565)+~P45(x79561,x79562,x79564)+P45(x79561,f327(f327(f101(f841(x79561,a831)),x79562),x79563),f327(f327(f101(f841(f840(x79561,x79561),a831)),x79564),x79565)) % 153.71/153.55 [8300]E(f327(f327(f236(x83001,x83002),f327(f327(f146(x83001),x83003),x83004)),f327(f327(f146(x83002),x83005),x83004)),f327(f327(f146(f840(x83001,x83002)),f327(f327(f163(x83001,x83002),x83003),x83005)),x83004))+~P134(f327(f327(f228(a834),x83004),f327(f177(f835(x83001)),x83003)))+~P134(f327(f327(f228(a834),x83004),f327(f177(f835(x83002)),x83005))) % 153.71/153.55 [8450]~P45(x84501,x84503,x84504)+P134(f327(f327(f329(x84501),x84502),x84503))+~P134(f327(f327(f329(f840(x84501,x84501)),f327(f327(f236(x84501,x84501),x84505),x84502)),x84504)) % 153.71/153.55 [8451]~P45(x84511,x84513,x84514)+P134(f327(f327(f329(x84511),x84512),x84513))+~P134(f327(f327(f329(f840(x84511,x84511)),f327(f327(f236(x84511,x84511),x84512),x84515)),x84514)) % 153.71/153.55 [8452]~P12(x84521,x84523,x84524)+P134(f327(f327(f329(x84521),x84522),x84523))+~P134(f327(f327(f329(f840(x84521,x84521)),f327(f327(f236(x84521,x84521),x84525),x84522)),x84524)) % 153.71/153.55 [8453]~P12(x84531,x84533,x84534)+P134(f327(f327(f329(x84531),x84532),x84533))+~P134(f327(f327(f329(f840(x84531,x84531)),f327(f327(f236(x84531,x84531),x84532),x84535)),x84534)) % 153.71/153.55 [8690]~P12(x86901,x86905,x86902)+E(f327(f272(x86901,x86901,x86902),f327(f327(f297(x86901),x86903),f176(f841(x86901,a831)))),f327(f272(x86901,x86901,x86902),f327(f327(f297(x86901),x86904),f176(f841(x86901,a831)))))+~P134(f327(f327(f329(f840(x86901,x86901)),f327(f327(f236(x86901,x86901),x86903),x86904)),x86902)) % 153.71/153.55 [8848]P134(f327(x88481,x88482))+~P134(f327(f327(f329(x88483),x88482),x88485))+P134(f327(f327(f329(x88483),f365(x88481,x88484,x88485,x88483)),f327(f327(f100(f841(x88483,a831)),x88485),x88484))) % 153.71/153.55 [8849]P134(f327(x88491,x88492))+~P134(f327(f327(f329(x88493),x88492),x88494))+P134(f327(f327(f329(x88493),f365(x88491,x88494,x88495,x88493)),f327(f327(f100(f841(x88493,a831)),x88495),x88494))) % 153.71/153.55 [8857]~P134(f327(x88572,x88575))+~P134(f327(f327(f329(x88571),x88575),x88574))+P134(f327(f327(f329(x88571),f367(x88572,x88573,x88574,x88571)),f327(f327(f100(f841(x88571,a831)),x88574),x88573))) % 153.71/153.55 [8858]~P134(f327(x88582,x88585))+~P134(f327(f327(f329(x88581),x88585),x88583))+P134(f327(f327(f329(x88581),f367(x88582,x88583,x88584,x88581)),f327(f327(f100(f841(x88581,a831)),x88584),x88583))) % 153.71/153.55 [8871]~P134(f327(f327(f227(f841(x88711,a831)),x88715),x88713))+~P134(f327(f327(f227(f841(x88711,a831)),x88712),x88714))+P134(f327(f327(f227(f841(x88711,a831)),f327(f327(f3(f841(x88711,a831)),x88712),x88713)),f327(f327(f3(f841(x88711,a831)),x88714),x88715))) % 153.71/153.55 [8872]~P134(f327(f327(f227(f841(x88721,a831)),x88723),x88725))+~P134(f327(f327(f227(f841(x88721,a831)),x88722),x88724))+P134(f327(f327(f227(f841(x88721,a831)),f327(f327(f100(f841(x88721,a831)),x88722),x88723)),f327(f327(f100(f841(x88721,a831)),x88724),x88725))) % 153.71/153.55 [8873]~P134(f327(f327(f227(f841(x88731,a831)),x88733),x88735))+~P134(f327(f327(f227(f841(x88731,a831)),x88732),x88734))+P134(f327(f327(f227(f841(x88731,a831)),f327(f327(f101(f841(x88731,a831)),x88732),x88733)),f327(f327(f101(f841(x88731,a831)),x88734),x88735))) % 153.71/153.55 [8962]P134(f327(f327(f329(f840(x89621,x89621)),f327(f327(f236(x89621,x89621),x89622),x89623)),f322(x89621,x89624,x89625)))+~P134(f327(f327(f227(a834),f327(x89624,x89622)),f327(x89624,x89623)))+~P134(f327(f327(f329(f840(x89621,x89621)),f327(f327(f236(x89621,x89621),x89622),x89623)),x89625)) % 153.71/153.55 [8969]~E(f327(f177(f835(x89691)),x89693),f327(f177(f835(x89692)),x89694))+E(f327(f162(x89691,x89692,f327(f327(f163(x89691,x89692),x89693),x89694)),x89695),f327(f222(x89692),f698(x89695,x89694,x89692,x89693,x89691)))+~P134(f327(f327(f329(x89691),x89695),f327(f154(x89691),x89693))) % 153.71/153.55 [9119]P134(f327(f327(f329(f840(x91191,x91191)),f327(f327(f236(x91191,x91191),x91192),x91193)),f295(x91191,x91194)))+~P134(f327(f327(f329(f840(x91191,x91191)),f327(f327(f236(x91191,x91191),x91192),x91195)),f295(x91191,x91194)))+~P134(f327(f327(f329(f840(x91191,x91191)),f327(f327(f236(x91191,x91191),x91195),x91193)),x91194)) % 153.71/153.55 [9120]P134(f327(f327(f329(f840(x91201,x91201)),f327(f327(f236(x91201,x91201),x91202),x91203)),f295(x91201,x91204)))+~P134(f327(f327(f329(f840(x91201,x91201)),f327(f327(f236(x91201,x91201),x91205),x91203)),f295(x91201,x91204)))+~P134(f327(f327(f329(f840(x91201,x91201)),f327(f327(f236(x91201,x91201),x91202),x91205)),x91204)) % 153.71/153.55 [9213]E(x92131,x92132)+E(f327(a111,f641(x92133,x92134,x92131,x92132,x92135)),x92134)+~P134(f327(f327(f329(f840(x92135,x92135)),f327(f327(f236(x92135,x92135),x92132),x92131)),f327(f327(f169(f840(x92135,x92135),a831),x92134),x92133))) % 153.71/153.55 [9214]E(x92141,x92142)+E(f327(a111,f643(x92143,x92144,x92141,x92142,x92145)),x92144)+~P134(f327(f327(f329(f840(x92145,x92145)),f327(f327(f236(x92145,x92145),x92142),x92141)),f327(f327(f169(f840(x92145,x92145),a831),x92144),x92143))) % 153.71/153.55 [9215]E(x92151,f2(a834))+E(f327(a111,f641(x92152,x92151,x92153,x92154,x92155)),x92151)+~P134(f327(f327(f329(f840(x92155,x92155)),f327(f327(f236(x92155,x92155),x92154),x92153)),f327(f327(f169(f840(x92155,x92155),a831),x92151),x92152))) % 153.71/153.55 [9216]E(x92161,f2(a834))+E(f327(a111,f643(x92162,x92161,x92163,x92164,x92165)),x92161)+~P134(f327(f327(f329(f840(x92165,x92165)),f327(f327(f236(x92165,x92165),x92164),x92163)),f327(f327(f169(f840(x92165,x92165),a831),x92161),x92162))) % 153.71/153.55 [9235]P134(f327(f327(f329(f840(x92351,x92351)),f327(f327(f236(x92351,x92351),x92352),x92353)),f327(f327(f276(x92351,x92351,x92351),x92354),f295(x92351,x92354))))+~P134(f327(f327(f329(f840(x92351,x92351)),f327(f327(f236(x92351,x92351),x92352),x92355)),x92354))+~P134(f327(f327(f329(f840(x92351,x92351)),f327(f327(f236(x92351,x92351),x92355),x92353)),x92354)) % 153.71/153.55 [9244]~P134(f327(f327(f329(f840(x92441,x92441)),f327(f327(f236(x92441,x92441),x92442),x92445)),f295(x92441,x92444)))+P134(f327(f327(f329(f840(x92441,x92441)),f327(f327(f236(x92441,x92441),x92442),x92443)),f327(f327(f276(x92441,x92441,x92441),x92444),f295(x92441,x92444))))+~P134(f327(f327(f329(f840(x92441,x92441)),f327(f327(f236(x92441,x92441),x92445),x92443)),x92444)) % 153.71/153.55 [9279]~P12(x92791,x92795,x92792)+~P134(f327(f327(f329(f840(x92791,x92791)),f327(f327(f236(x92791,x92791),x92793),x92794)),x92792))+P134(f327(f327(f227(f841(x92791,a831)),f327(f272(x92791,x92791,x92792),f327(f327(f297(x92791),x92793),f176(f841(x92791,a831))))),f327(f272(x92791,x92791,x92792),f327(f327(f297(x92791),x92794),f176(f841(x92791,a831)))))) % 153.71/153.55 [9331]P134(f327(f327(f329(f840(x93311,x93311)),f327(f327(f236(x93311,x93311),x93312),x93313)),f327(f327(f276(x93311,x93311,x93311),x93314),f295(x93311,x93314))))+~P134(f327(f327(f329(f840(x93311,x93311)),f327(f327(f236(x93311,x93311),x93312),x93315)),f327(f327(f276(x93311,x93311,x93311),x93314),f295(x93311,x93314))))+~P134(f327(f327(f329(f840(x93311,x93311)),f327(f327(f236(x93311,x93311),x93315),x93313)),x93314)) % 153.71/153.55 [9332]P134(f327(f327(f329(f840(x93321,x93321)),f327(f327(f236(x93321,x93321),x93322),x93323)),f327(f327(f276(x93321,x93321,x93321),x93324),f295(x93321,x93324))))+~P134(f327(f327(f329(f840(x93321,x93321)),f327(f327(f236(x93321,x93321),x93325),x93323)),f327(f327(f276(x93321,x93321,x93321),x93324),f295(x93321,x93324))))+~P134(f327(f327(f329(f840(x93321,x93321)),f327(f327(f236(x93321,x93321),x93322),x93325)),x93324)) % 153.71/153.55 [9380]~P134(f327(f71(x93801,x93801,x93804,x93802,x93803),x93805))+P134(f327(f327(f329(x93801),x93802),x93803))+P134(f327(f67(x93801,x93804,f327(f327(f297(x93801),x93802),x93803)),x93805)) % 153.71/153.55 [9423]~E(f327(f298(x94233,x94232,x94235),x94234),x94231)+E(x94231,f176(f841(x94232,a831)))+P134(f327(f327(f227(f841(x94233,a831)),f327(f298(x94232,x94233,f502(x94234,x94233,x94232,x94231)),x94231)),x94234)) % 153.71/153.55 [9463]~P9(x94635)+P134(f327(f327(f329(x94631),f376(x94632,x94633,x94634,x94631,x94635)),x94634))+P134(f327(f327(f227(x94635),f327(f327(f47(x94631,x94635),x94634),x94633)),x94632)) % 153.71/153.55 [9626]E(x96261,x96262)+P134(f327(f327(f329(f840(x96263,x96263)),f327(f327(f236(x96263,x96263),x96261),f644(x96264,x96265,x96262,x96261,x96263))),x96264))+~P134(f327(f327(f329(f840(x96263,x96263)),f327(f327(f236(x96263,x96263),x96261),x96262)),f327(f327(f169(f840(x96263,x96263),a831),x96265),x96264))) % 153.71/153.55 [9627]E(x96271,f2(a834))+P134(f327(f327(f329(f840(x96272,x96272)),f327(f327(f236(x96272,x96272),x96273),f644(x96274,x96271,x96275,x96273,x96272))),x96274))+~P134(f327(f327(f329(f840(x96272,x96272)),f327(f327(f236(x96272,x96272),x96273),x96275)),f327(f327(f169(f840(x96272,x96272),a831),x96271),x96274))) % 153.71/153.55 [9670]~P9(x96701)+~P134(f327(f327(f227(x96701),f327(x96704,f376(x96705,x96704,x96703,x96702,x96701))),x96705))+P134(f327(f327(f227(x96701),f327(f327(f47(x96702,x96701),x96703),x96704)),x96705)) % 153.71/153.55 [9725]E(x97251,x97252)+P134(f327(f327(f329(f840(x97253,x97253)),f327(f327(f236(x97253,x97253),f642(x97254,x97255,x97251,x97252,x97253)),x97251)),x97254))+~P134(f327(f327(f329(f840(x97253,x97253)),f327(f327(f236(x97253,x97253),x97252),x97251)),f327(f327(f169(f840(x97253,x97253),a831),x97255),x97254))) % 153.71/153.55 [9726]E(x97261,f2(a834))+P134(f327(f327(f329(f840(x97262,x97262)),f327(f327(f236(x97262,x97262),f642(x97263,x97261,x97264,x97265,x97262)),x97264)),x97263))+~P134(f327(f327(f329(f840(x97262,x97262)),f327(f327(f236(x97262,x97262),x97265),x97264)),f327(f327(f169(f840(x97262,x97262),a831),x97261),x97263))) % 153.71/153.55 [9730]E(x97301,x97302)+P134(f327(f327(f329(f840(x97303,x97303)),f327(f327(f236(x97303,x97303),x97301),f642(x97304,x97305,x97302,x97301,x97303))),f327(f327(f169(f840(x97303,x97303),a831),f641(x97304,x97305,x97302,x97301,x97303)),x97304)))+~P134(f327(f327(f329(f840(x97303,x97303)),f327(f327(f236(x97303,x97303),x97301),x97302)),f327(f327(f169(f840(x97303,x97303),a831),x97305),x97304))) % 153.71/153.55 [9731]E(x97311,f2(a834))+P134(f327(f327(f329(f840(x97312,x97312)),f327(f327(f236(x97312,x97312),x97313),f642(x97314,x97311,x97315,x97313,x97312))),f327(f327(f169(f840(x97312,x97312),a831),f641(x97314,x97311,x97315,x97313,x97312)),x97314)))+~P134(f327(f327(f329(f840(x97312,x97312)),f327(f327(f236(x97312,x97312),x97313),x97315)),f327(f327(f169(f840(x97312,x97312),a831),x97311),x97314))) % 153.71/153.55 [9788]E(x97881,x97882)+P134(f327(f327(f329(f840(x97883,x97883)),f327(f327(f236(x97883,x97883),f644(x97884,x97885,x97881,x97882,x97883)),x97881)),f327(f327(f169(f840(x97883,x97883),a831),f643(x97884,x97885,x97881,x97882,x97883)),x97884)))+~P134(f327(f327(f329(f840(x97883,x97883)),f327(f327(f236(x97883,x97883),x97882),x97881)),f327(f327(f169(f840(x97883,x97883),a831),x97885),x97884))) % 153.71/153.55 [9789]E(x97891,f2(a834))+P134(f327(f327(f329(f840(x97892,x97892)),f327(f327(f236(x97892,x97892),f644(x97893,x97891,x97894,x97895,x97892)),x97894)),f327(f327(f169(f840(x97892,x97892),a831),f643(x97893,x97891,x97894,x97895,x97892)),x97893)))+~P134(f327(f327(f329(f840(x97892,x97892)),f327(f327(f236(x97892,x97892),x97895),x97894)),f327(f327(f169(f840(x97892,x97892),a831),x97891),x97893))) % 153.71/153.55 [9820]~P65(x98202)+~P134(f327(f66(x98201),x98205))+E(f327(f327(f8(x98201,x98202),f327(f327(f9(x98201,x98202,x98202),f327(f327(f20(x98201,x98202,f841(x98202,x98202)),f327(f327(f10(a831,f841(x98202,f841(x98202,x98202)),x98201),f95(x98202)),f327(f327(f9(x98201,f841(x98201,a831),a831),f329(x98201)),x98203))),x98204)),f2(x98202))),x98205),f327(f327(f8(x98201,x98202),x98204),f327(f327(f101(f841(x98201,a831)),x98205),x98203))) % 153.71/153.55 [8504]~P65(x85041)+~P134(f327(f66(x85044),x85045))+E(f327(f327(f84(x85041),f327(x85042,x85043)),f327(f327(f8(x85044,x85041),x85042),f327(f327(f3(f841(x85044,a831)),x85045),f327(f327(f297(x85044),x85043),f176(f841(x85044,a831)))))),f327(f327(f8(x85044,x85041),x85042),f327(f327(f297(x85044),x85043),x85045))) % 153.71/153.55 [8505]~P68(x85051)+~P134(f327(f66(x85054),x85055))+E(f327(f327(f85(x85051),f327(x85052,x85053)),f327(f327(f11(x85054,x85051),x85052),f327(f327(f3(f841(x85054,a831)),x85055),f327(f327(f297(x85054),x85053),f176(f841(x85054,a831)))))),f327(f327(f11(x85054,x85051),x85052),f327(f327(f297(x85054),x85053),x85055))) % 153.71/153.55 [8784]~P97(x87842)+~P18(x87842,f327(f151(x87842),f327(f327(f138(x87841,x87842),x87844),x87845)))+E(f327(f123(x87841,f327(f327(f10(x87842,a831,x87841),f327(f228(x87842),x87843)),x87844)),x87845),f158(x87841,f327(f327(f10(x87842,a831,x87841),f327(f228(x87842),x87843)),x87844),x87845)) % 153.71/153.55 [8805]~P65(x88051)+E(f327(f327(f84(x88051),f327(f327(f8(a834,x88051),x88052),f290(a834,x88053,x88054))),f327(f327(f8(a834,x88051),x88052),f290(a834,f327(f327(f84(a834),x88054),f82(a834)),f327(f327(f84(a834),x88054),x88055)))),f327(f327(f8(a834,x88051),x88052),f290(a834,x88053,f327(f327(f84(a834),x88054),x88055))))+~P134(f327(f327(f227(a834),x88053),f327(f327(f84(a834),x88054),f82(a834)))) % 153.71/153.55 [8806]~P134(f327(f327(f329(x88061),x88064),x88065))+~P134(f327(f327(f227(f841(x88061,a831)),f327(f154(x88061),x88062)),x88065))+P134(f327(f327(f227(f841(x88061,a831)),f327(f154(x88061),f327(f327(f143(x88061,x88062),x88063),x88064))),x88065)) % 153.71/153.55 [9018]~P9(x90182)+~P134(f327(f66(x90181),x90185))+E(f327(f327(f69(x90181,x90182,f327(f327(f10(x90182,f841(x90182,x90182),x90181),f100(x90182)),x90183)),x90184),x90185),f327(f327(f100(x90182),x90184),f327(f327(f47(x90181,x90182),x90185),x90183))) % 153.71/153.55 [9019]~P9(x90192)+~P134(f327(f66(x90191),x90195))+E(f327(f327(f69(x90191,x90192,f327(f327(f10(x90192,f841(x90192,x90192),x90191),f101(x90192)),x90193)),x90194),x90195),f327(f327(f101(x90192),x90194),f327(f327(f48(x90191,x90192),x90195),x90193))) % 153.71/153.55 [9104]~P28(x91041,x91042,x91043,x91045)+P28(x91041,x91042,x91043,f327(f327(f297(x91041),x91044),x91045))+P134(f327(f327(f329(x91042),f327(x91043,x91044)),f327(f298(x91041,x91042,x91043),f327(f327(f3(f841(x91041,a831)),x91045),f327(f327(f297(x91041),x91044),f176(f841(x91041,a831))))))) % 153.71/153.55 [9107]P134(f327(x91072,x91075))+~P134(f327(f327(f329(x91071),x91075),f327(f154(x91071),x91073)))+E(f327(f327(f125(x91071),f327(f177(f835(x91071)),f158(x91071,x91072,f327(f327(f122(x91071),x91073),x91074)))),f327(f327(f122(x91071),x91073),x91074)),f327(f327(f122(x91071),f327(f327(f125(x91071),f327(f177(f835(x91071)),f158(x91071,x91072,x91073))),x91073)),x91074)) % 153.71/153.55 [9305]~P134(f327(f327(f329(f840(f835(x93051),f835(x93051))),f327(f327(f236(f835(x93051),f835(x93051)),x93052),x93054)),f142(x93051,x93055)))+~P134(f327(f327(f228(a834),x93053),f327(f177(f835(x93051)),x93052)))+P134(f327(f327(f329(f840(x93051,x93051)),f327(f327(f236(x93051,x93051),f327(f327(f146(x93051),x93052),x93053)),f327(f327(f146(x93051),x93054),x93053))),x93055)) % 153.71/153.55 [9534]E(x95341,f2(a1))+~P134(f327(f57(x95343,x95341),f327(f327(f236(a1,a1),x95344),x95345)))+P134(f327(f57(f327(f327(f85(a1),x95342),x95343),x95341),f327(f327(f236(a1,a1),f327(f327(f84(a1),f327(f327(f85(a1),x95342),x95344)),f327(f327(f44(a1),f327(f327(f85(a1),x95342),x95345)),x95341))),f53(a1,f327(f327(f85(a1),x95342),x95345),x95341)))) % 153.71/153.55 [9539]~P134(f327(f327(f228(a834),f2(a834)),x95393))+~P134(f327(f56(x95392,x95393),f327(f327(f236(a834,a834),x95394),x95395)))+P134(f327(f56(f327(f327(f85(a834),x95391),x95392),x95393),f327(f327(f236(a834,a834),f327(f327(f84(a834),f327(f327(f85(a834),x95391),x95394)),f327(f327(f44(a834),f327(f327(f85(a834),x95391),x95395)),x95393))),f53(a834,f327(f327(f85(a834),x95391),x95395),x95393)))) % 153.71/153.55 [9842]~P65(x98422)+~P134(f327(f66(x98421),x98424))+E(f327(f327(f8(x98421,x98422),x98423),f327(f251(x98421),f327(f327(f20(x98421,a831,a831),f327(f327(f10(a831,f841(a831,a831),x98421),a325),f327(f327(f9(x98421,f841(x98421,a831),a831),f329(x98421)),x98424))),f327(f327(f9(x98421,f841(x98421,a831),a831),f329(x98421)),x98425)))),f327(f327(f8(x98421,x98422),f327(f327(f9(x98421,x98422,x98422),f327(f327(f20(x98421,x98422,f841(x98422,x98422)),f327(f327(f10(a831,f841(x98422,f841(x98422,x98422)),x98421),f95(x98422)),f327(f327(f9(x98421,f841(x98421,a831),a831),f329(x98421)),x98425))),x98423)),f2(x98422))),x98424)) % 153.71/153.55 [8157]~E(f327(f327(f122(x81571),x81572),x81575),f327(f327(f122(x81571),x81573),x81574))+E(f327(f327(f122(x81571),f327(f327(f125(x81571),f327(f177(f835(x81571)),x81572)),x81573)),x81574),x81575)+P134(f327(f327(f227(a834),f327(f177(f835(x81571)),x81573)),f327(f177(f835(x81571)),x81572))) % 153.71/153.55 [8347]~E(f327(f327(f122(x83472),x83473),x83471),f327(f327(f122(x83472),x83474),x83475))+E(x83471,f327(f327(f122(x83472),f327(f327(f125(x83472),f327(f177(f835(x83472)),x83473)),x83474)),x83475))+~P134(f327(f327(f227(a834),f327(f177(f835(x83472)),x83473)),f327(f177(f835(x83472)),x83474))) % 153.71/153.55 [8433]~E(f327(f327(f84(a834),f327(f327(f85(a834),x84333),x84334)),x84331),f327(f327(f84(a834),f327(f327(f85(a834),x84332),x84334)),x84335))+~P134(f327(f327(f227(a834),x84333),x84332))+E(x84331,f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f3(a834),x84332),x84333)),x84334)),x84335)) % 153.71/153.55 [8434]~E(f327(f327(f84(a834),f327(f327(f85(a834),x84341),x84343)),x84344),f327(f327(f84(a834),f327(f327(f85(a834),x84342),x84343)),x84345))+~P134(f327(f327(f227(a834),x84342),x84341))+E(f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f3(a834),x84341),x84342)),x84343)),x84344),x84345) % 153.71/153.55 [8574]E(f327(f327(f84(a834),f327(f327(f85(a834),x85741),x85742)),x85743),f327(f327(f84(a834),f327(f327(f85(a834),x85744),x85742)),x85745))+~P134(f327(f327(f227(a834),x85744),x85741))+~E(x85745,f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f3(a834),x85741),x85744)),x85742)),x85743)) % 153.71/153.55 [8575]E(f327(f327(f84(a834),f327(f327(f85(a834),x85751),x85752)),x85753),f327(f327(f84(a834),f327(f327(f85(a834),x85754),x85752)),x85755))+~P134(f327(f327(f227(a834),x85754),x85751))+~E(f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f3(a834),x85751),x85754)),x85752)),x85753),x85755) % 153.71/153.55 [8904]~P134(f327(f327(f274(a1),x89041),x89044))+~P134(f327(f327(f274(a1),x89041),f327(f327(f84(a1),x89042),x89045)))+P134(f327(f327(f274(a1),x89041),f327(f327(f84(a1),f327(f327(f84(a1),x89042),f327(f327(f85(a1),x89043),x89044))),x89045))) % 153.71/153.55 [9105]~P134(f327(f327(f274(a1),x91051),x91054))+P134(f327(f327(f274(a1),x91051),f327(f327(f84(a1),x91052),x91053)))+~P134(f327(f327(f274(a1),x91051),f327(f327(f84(a1),f327(f327(f84(a1),x91052),f327(f327(f85(a1),x91055),x91054))),x91053))) % 153.71/153.55 [9355]~P58(x93552)+~P134(f327(f66(x93551),x93555))+E(f327(f327(f11(x93551,x93552),f327(f327(f20(x93551,x93552,x93552),f327(f327(f10(x93552,f841(x93552,x93552),x93551),f278(x93552)),x93553)),x93554)),x93555),f327(f327(f278(x93552),f327(f327(f11(x93551,x93552),x93553),x93555)),f327(f327(f11(x93551,x93552),x93554),x93555))) % 153.71/153.55 [9477]~E(f659(x94775,x94774,x94773,x94772,x94771),f660(x94775,x94774,x94773,x94772,x94771))+P134(f327(f327(f329(f840(x94771,x94771)),f327(f327(f236(x94771,x94771),x94772),x94773)),f295(x94771,x94774)))+~P134(f327(f327(f329(f840(x94771,x94771)),f327(f327(f236(x94771,x94771),x94772),x94773)),f295(x94771,f327(f327(f100(f841(f840(x94771,x94771),a831)),x94774),x94775)))) % 153.71/153.55 [9478]~E(f661(x94785,x94784,x94783,x94782,x94781),f662(x94785,x94784,x94783,x94782,x94781))+P134(f327(f327(f329(f840(x94781,x94781)),f327(f327(f236(x94781,x94781),x94782),x94783)),f295(x94781,x94784)))+~P134(f327(f327(f329(f840(x94781,x94781)),f327(f327(f236(x94781,x94781),x94782),x94783)),f295(x94781,f327(f327(f100(f841(f840(x94781,x94781),a831)),x94784),x94785)))) % 153.71/153.55 [9658]P134(f327(f327(f329(f840(x96581,x96581)),f327(f327(f236(x96581,x96581),x96582),f662(x96585,x96584,x96583,x96582,x96581))),f295(x96581,x96584)))+P134(f327(f327(f329(f840(x96581,x96581)),f327(f327(f236(x96581,x96581),x96582),x96583)),f295(x96581,x96584)))+~P134(f327(f327(f329(f840(x96581,x96581)),f327(f327(f236(x96581,x96581),x96582),x96583)),f295(x96581,f327(f327(f100(f841(f840(x96581,x96581),a831)),x96584),x96585)))) % 153.71/153.55 [9752]P134(f327(f327(f329(f840(x97521,x97521)),f327(f327(f236(x97521,x97521),f660(x97525,x97524,x97523,x97522,x97521)),x97523)),f295(x97521,x97524)))+P134(f327(f327(f329(f840(x97521,x97521)),f327(f327(f236(x97521,x97521),x97522),x97523)),f295(x97521,x97524)))+~P134(f327(f327(f329(f840(x97521,x97521)),f327(f327(f236(x97521,x97521),x97522),x97523)),f295(x97521,f327(f327(f100(f841(f840(x97521,x97521),a831)),x97524),x97525)))) % 153.71/153.55 [9795]P134(f327(f327(f329(f840(x97951,x97951)),f327(f327(f236(x97951,x97951),x97952),x97953)),f295(x97951,x97954)))+P134(f327(f327(f329(f840(x97951,x97951)),f327(f327(f236(x97951,x97951),f659(x97955,x97954,x97953,x97952,x97951)),f660(x97955,x97954,x97953,x97952,x97951))),x97955))+~P134(f327(f327(f329(f840(x97951,x97951)),f327(f327(f236(x97951,x97951),x97952),x97953)),f295(x97951,f327(f327(f100(f841(f840(x97951,x97951),a831)),x97954),x97955)))) % 153.71/153.55 [9796]P134(f327(f327(f329(f840(x97961,x97961)),f327(f327(f236(x97961,x97961),x97962),x97963)),f295(x97961,x97964)))+P134(f327(f327(f329(f840(x97961,x97961)),f327(f327(f236(x97961,x97961),f662(x97965,x97964,x97963,x97962,x97961)),f661(x97965,x97964,x97963,x97962,x97961))),x97965))+~P134(f327(f327(f329(f840(x97961,x97961)),f327(f327(f236(x97961,x97961),x97962),x97963)),f295(x97961,f327(f327(f100(f841(f840(x97961,x97961),a831)),x97964),x97965)))) % 153.71/153.55 [9916]~P134(f327(f327(f329(f840(f835(x99161),f835(x99161))),f327(f327(f236(f835(x99161),f835(x99161)),x99164),x99165)),f142(x99161,x99162)))+~P134(f327(f327(f329(f840(x99161,x99161)),x99163),f327(f154(f840(x99161,x99161)),f327(f327(f163(x99161,x99161),x99164),x99165))))+P134(f327(f327(f246(x99161,x99161,a831),f327(f327(f9(x99161,f841(f840(x99161,x99161),a831),f841(x99161,a831)),f327(f327(f10(f841(x99161,f841(f841(f840(x99161,x99161),a831),a831)),f841(f841(f840(x99161,x99161),a831),f841(x99161,a831)),x99161),f9(x99161,f841(f840(x99161,x99161),a831),a831)),f327(f327(f10(f841(x99161,f840(x99161,x99161)),f841(x99161,f841(f841(f840(x99161,x99161),a831),a831)),x99161),f327(f10(f840(x99161,x99161),f841(f841(f840(x99161,x99161),a831),a831),x99161),f329(f840(x99161,x99161)))),f236(x99161,x99161)))),x99162)),x99163)) % 153.71/153.55 [9384]~P134(f327(f327(f227(a834),x93843),x93842))+~P134(f327(f327(f228(a834),f327(f327(f84(a834),f327(f327(f85(a834),x93843),x93844)),x93841)),f327(f327(f84(a834),f327(f327(f85(a834),x93842),x93844)),x93845)))+P134(f327(f327(f228(a834),x93841),f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f3(a834),x93842),x93843)),x93844)),x93845))) % 153.71/153.55 [9385]~P134(f327(f327(f227(a834),x93853),x93852))+~P134(f327(f327(f227(a834),f327(f327(f84(a834),f327(f327(f85(a834),x93853),x93854)),x93851)),f327(f327(f84(a834),f327(f327(f85(a834),x93852),x93854)),x93855)))+P134(f327(f327(f227(a834),x93851),f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f3(a834),x93852),x93853)),x93854)),x93855))) % 153.71/153.55 [9405]~P134(f327(f327(f227(a834),x94051),x94054))+P134(f327(f327(f228(a834),f327(f327(f84(a834),f327(f327(f85(a834),x94051),x94052)),x94053)),f327(f327(f84(a834),f327(f327(f85(a834),x94054),x94052)),x94055)))+~P134(f327(f327(f228(a834),x94053),f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f3(a834),x94054),x94051)),x94052)),x94055))) % 153.71/153.55 [9406]~P134(f327(f327(f227(a834),x94061),x94064))+P134(f327(f327(f227(a834),f327(f327(f84(a834),f327(f327(f85(a834),x94061),x94062)),x94063)),f327(f327(f84(a834),f327(f327(f85(a834),x94064),x94062)),x94065)))+~P134(f327(f327(f227(a834),x94063),f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f3(a834),x94064),x94061)),x94062)),x94065))) % 153.71/153.55 [9514]~P134(f327(f327(f227(a834),x95142),x95141))+~P134(f327(f327(f228(a834),f327(f327(f84(a834),f327(f327(f85(a834),x95141),x95143)),x95144)),f327(f327(f84(a834),f327(f327(f85(a834),x95142),x95143)),x95145)))+P134(f327(f327(f228(a834),f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f3(a834),x95141),x95142)),x95143)),x95144)),x95145)) % 153.71/153.55 [9515]~P134(f327(f327(f227(a834),x95152),x95151))+~P134(f327(f327(f227(a834),f327(f327(f84(a834),f327(f327(f85(a834),x95151),x95153)),x95154)),f327(f327(f84(a834),f327(f327(f85(a834),x95152),x95153)),x95155)))+P134(f327(f327(f227(a834),f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f3(a834),x95151),x95152)),x95153)),x95154)),x95155)) % 153.71/153.55 [9556]~P134(f327(f327(f227(a834),x95564),x95561))+P134(f327(f327(f228(a834),f327(f327(f84(a834),f327(f327(f85(a834),x95561),x95562)),x95563)),f327(f327(f84(a834),f327(f327(f85(a834),x95564),x95562)),x95565)))+~P134(f327(f327(f228(a834),f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f3(a834),x95561),x95564)),x95562)),x95563)),x95565)) % 153.71/153.55 [9557]~P134(f327(f327(f227(a834),x95574),x95571))+P134(f327(f327(f227(a834),f327(f327(f84(a834),f327(f327(f85(a834),x95571),x95572)),x95573)),f327(f327(f84(a834),f327(f327(f85(a834),x95574),x95572)),x95575)))+~P134(f327(f327(f227(a834),f327(f327(f84(a834),f327(f327(f85(a834),f327(f327(f3(a834),x95571),x95574)),x95572)),x95573)),x95575)) % 153.71/153.55 [9780]~P16(x97801,x97802,x97805,x97803)+~P134(f327(f327(f329(f840(x97801,x97801)),x97804),x97805))+P134(f327(f327(f246(x97801,x97801,a831),f327(f327(f9(x97801,f841(x97801,x97802),f841(x97801,a831)),f327(f327(f10(f841(x97802,a831),f841(f841(x97801,x97802),f841(x97801,a831)),x97801),f10(x97802,a831,x97801)),f327(f327(f10(x97802,f841(x97802,a831),x97801),a324),x97803))),x97803)),x97804)) % 153.71/153.55 [7139]~P38(x71394,x71392,x71395,x71396)+P38(f33(x71391,x71393,x71394),x71392,x71395,x71396)+P134(f327(x71391,x71392)) % 153.71/153.55 [7220]~P38(x72202,x72204,x72205,x72206)+P38(f33(x72201,x72202,x72203),x72204,x72205,x72206)+~P134(f327(x72201,x72204)) % 153.71/153.55 [7308]P38(x73083,x73082,x73084,x73085)+~P38(f33(x73081,x73086,x73083),x73082,x73084,x73085)+P134(f327(x73081,x73082)) % 153.71/153.55 [7341]P38(x73411,x73412,x73413,x73414)+~P38(f33(x73415,x73411,x73416),x73412,x73413,x73414)+~P134(f327(x73415,x73412)) % 153.71/153.55 [7708]~P38(x77081,x77083,x77084,x77086)+~P38(x77082,x77086,x77084,x77085)+P38(f36(x77081,x77082),x77083,x77084,x77085) % 153.71/153.55 [7711]P38(x77111,x77112,x77113,x77114)+P38(x77115,x77112,x77113,x77114)+~P38(f33(x77116,x77111,x77115),x77112,x77113,x77114) % 153.71/153.55 [6684]~E(f327(x66844,x66845),f179(x66842))+E(f327(f166(x66841,x66842,x66843,x66844),x66845),f327(f222(x66842),x66846))+~E(f327(x66843,x66845),f327(f222(x66842),x66846)) % 153.71/153.55 [6789]~E(f327(x67893,x67896),f179(x67891))+E(f327(f224(f838(x67891),x67892,f179(x67891),x67893),f327(x67894,x67895)),f179(x67891))+~E(f327(x67894,x67895),f327(f222(x67892),x67896)) % 153.71/153.55 [7398]E(f327(x73981,x73982),f179(x73983))+~E(f327(f166(x73985,x73983,x73986,x73981),x73982),f327(f222(x73983),x73984))+E(f327(x73981,x73982),f327(f222(x73983),x73984)) % 153.71/153.55 [7434]~E(f327(f166(x74346,x74343,x74345,x74341),x74342),f327(f222(x74343),x74344))+E(f327(x74341,x74342),f327(f222(x74343),x74344))+E(f327(x74345,x74342),f327(f222(x74343),x74344)) % 153.71/153.55 [8312]~P23(x83126,x83121,x83122,x83124)+E(f327(f77(x83121,x83121,x83121,f327(x83122,x83123)),f327(x83124,x83125)),f327(f77(x83121,x83121,x83121,f327(x83124,x83125)),f327(x83122,x83123)))+~P134(f327(f66(x83126),x83125)) % 153.71/153.55 [8700]~P28(x87001,x87003,x87005,x87006)+~P28(x87003,x87002,x87004,f327(f298(x87001,x87003,x87005),x87006))+P28(x87001,x87002,f327(f77(x87003,x87002,x87001,x87004),x87005),x87006) % 153.71/153.55 [9198]~P134(f327(f327(x91984,x91982),x91986))+~P134(f327(f327(x91983,x91985),x91982))+P134(f327(f327(f329(x91981),x91982),f284(x91981,x91983,x91984,x91985,x91986))) % 153.71/153.55 [9199]~P134(f327(f327(x91993,x91992),x91996))+~P134(f327(f327(x91994,x91995),x91992))+P134(f327(f327(f329(x91991),x91992),f287(x91991,x91993,x91994,x91995,x91996))) % 153.71/153.55 [9306]E(x93061,x93062)+E(x93063,x93064)+~P134(f327(f327(f329(f840(f835(x93065),f835(x93065))),f327(f327(f236(f835(x93065),f835(x93065)),f327(f327(f136(x93065),x93063),x93061)),f327(f327(f136(x93065),x93064),x93062))),f141(x93065,x93066))) % 153.71/153.55 [9315]~E(x93152,x93154)+P134(f327(f327(f329(f840(f835(x93151),f835(x93151))),f327(f327(f236(f835(x93151),f835(x93151)),f327(f327(f136(x93151),x93152),x93153)),f327(f327(f136(x93151),x93154),x93155))),f131(x93151,x93156)))+~P134(f327(f327(f329(f840(f835(x93151),f835(x93151))),f327(f327(f236(f835(x93151),f835(x93151)),x93153),x93155)),f131(x93151,x93156))) % 153.71/153.55 [9316]~E(x93162,x93164)+P134(f327(f327(f329(f840(f835(x93161),f835(x93161))),f327(f327(f236(f835(x93161),f835(x93161)),f327(f327(f136(x93161),x93162),x93163)),f327(f327(f136(x93161),x93164),x93165))),f133(x93161,x93166)))+~P134(f327(f327(f329(f840(f835(x93161),f835(x93161))),f327(f327(f236(f835(x93161),f835(x93161)),x93163),x93165)),f133(x93161,x93166))) % 153.71/153.55 [9317]~E(x93172,x93174)+P134(f327(f327(f329(f840(f835(x93171),f835(x93171))),f327(f327(f236(f835(x93171),f835(x93171)),f327(f327(f136(x93171),x93172),x93173)),f327(f327(f136(x93171),x93174),x93175))),f141(x93171,x93176)))+~P134(f327(f327(f329(f840(f835(x93171),f835(x93171))),f327(f327(f236(f835(x93171),f835(x93171)),x93173),x93175)),f141(x93171,x93176))) % 153.71/153.55 [9318]~E(x93182,x93184)+P134(f327(f327(f329(f840(f835(x93181),f835(x93181))),f327(f327(f236(f835(x93181),f835(x93181)),f327(f327(f122(x93181),x93182),x93183)),f327(f327(f122(x93181),x93184),x93185))),f141(x93181,x93186)))+~P134(f327(f327(f329(f840(f835(x93181),f835(x93181))),f327(f327(f236(f835(x93181),f835(x93181)),x93183),x93185)),f141(x93181,x93186))) % 153.71/153.55 [9319]~E(x93193,x93195)+P134(f327(f327(f329(f840(f835(x93191),f835(x93191))),f327(f327(f236(f835(x93191),f835(x93191)),f327(f327(f122(x93191),x93192),x93193)),f327(f327(f122(x93191),x93194),x93195))),f141(x93191,x93196)))+~P134(f327(f327(f329(f840(f835(x93191),f835(x93191))),f327(f327(f236(f835(x93191),f835(x93191)),x93192),x93194)),f141(x93191,x93196))) % 153.71/153.55 [9372]E(x93721,x93722)+P134(f327(f327(f329(f840(f835(x93723),f835(x93723))),f327(f327(f236(f835(x93723),f835(x93723)),x93721),x93722)),f141(x93723,x93724)))+~P134(f327(f327(f329(f840(f835(x93723),f835(x93723))),f327(f327(f236(f835(x93723),f835(x93723)),f327(f327(f136(x93723),x93725),x93721)),f327(f327(f136(x93723),x93726),x93722))),f141(x93723,x93724))) % 153.71/153.55 [9516]~E(x95163,x95165)+P134(f327(f327(f329(f840(f835(x95161),f835(x95161))),f327(f327(f236(f835(x95161),f835(x95161)),f327(f327(f122(x95161),x95162),f327(f327(f136(x95161),x95163),f112(x95161)))),f327(f327(f122(x95161),x95164),f327(f327(f136(x95161),x95165),f112(x95161))))),f141(x95161,x95166)))+~P134(f327(f327(f329(f840(f835(x95161),f835(x95161))),f327(f327(f236(f835(x95161),f835(x95161)),x95162),x95164)),f141(x95161,x95166))) % 153.71/153.55 [9527]E(f327(x95271,x95272),f179(x95273))+~E(f327(f224(f838(x95276),x95273,f179(x95276),x95274),f327(x95271,x95272)),f179(x95276))+E(f327(x95274,f691(x95272,x95271,x95274,x95275,x95276,x95273)),f179(x95276)) % 153.71/153.55 [9528]E(f327(x95281,x95282),f179(x95283))+~E(f327(f224(f838(x95286),x95283,f179(x95286),x95284),f327(x95281,x95282)),f179(x95286))+E(f327(f222(x95283),f691(x95282,x95281,x95284,x95285,x95286,x95283)),f327(x95281,x95282)) % 153.71/153.55 [9560]E(x95601,x95602)+E(x95603,x95604)+~P134(f327(f327(f329(f840(f835(x95605),f835(x95605))),f327(f327(f236(f835(x95605),f835(x95605)),f327(f327(f122(x95605),x95603),f327(f327(f136(x95605),x95601),f112(x95605)))),f327(f327(f122(x95605),x95604),f327(f327(f136(x95605),x95602),f112(x95605))))),f141(x95605,x95606))) % 153.71/153.55 [9581]E(x95811,x95812)+~P134(f327(f327(f329(f840(f835(x95813),f835(x95813))),f327(f327(f236(f835(x95813),f835(x95813)),f327(f327(f122(x95813),x95811),f327(f327(f136(x95813),x95815),f112(x95813)))),f327(f327(f122(x95813),x95812),f327(f327(f136(x95813),x95816),f112(x95813))))),f141(x95813,x95814)))+P134(f327(f327(f329(f840(f835(x95813),f835(x95813))),f327(f327(f236(f835(x95813),f835(x95813)),x95811),x95812)),f141(x95813,x95814))) % 153.71/153.55 [9611]~P134(f327(f327(f329(f840(f841(x96111,a831),f841(x96111,a831))),f327(f327(f236(f841(x96111,a831),f841(x96111,a831)),x96112),x96114)),f320(x96111,x96116)))+~P134(f327(f327(f329(f840(f841(x96111,a831),f841(x96111,a831))),f327(f327(f236(f841(x96111,a831),f841(x96111,a831)),x96113),x96115)),f320(x96111,x96116)))+P134(f327(f327(f329(f840(f841(x96111,a831),f841(x96111,a831))),f327(f327(f236(f841(x96111,a831),f841(x96111,a831)),f327(f327(f100(f841(x96111,a831)),x96112),x96113)),f327(f327(f100(f841(x96111,a831)),x96114),x96115))),f320(x96111,x96116))) % 153.71/153.55 [5084]~E(f327(x50843,x50846),x50845)+~E(x50844,f327(f222(x50841),x50846))+E(f327(f327(f191(x50841,x50842),x50843),x50844),f327(f222(x50842),x50845)) % 153.71/153.55 [5490]~E(f327(f327(f122(x54901),x54906),x54903),x54905)+E(f327(f327(f122(x54901),x54902),x54903),f327(f327(f136(x54901),x54904),x54905))+~E(x54902,f327(f327(f136(x54901),x54904),x54906)) % 153.71/153.55 [5491]~E(f327(f327(f122(x54911),x54916),x54913),x54915)+E(f327(f327(f122(x54911),x54912),x54913),f327(f327(f122(x54911),x54914),x54915))+~E(x54912,f327(f327(f122(x54911),x54914),x54916)) % 153.71/153.55 [5493]E(f327(f327(f122(x54931),x54932),x54933),f327(f327(f136(x54931),x54934),x54935))+~E(f327(f327(f136(x54931),x54934),x54936),x54932)+~E(x54935,f327(f327(f122(x54931),x54936),x54933)) % 153.71/153.55 [5495]~E(f327(f327(f122(x54951),x54952),x54956),x54954)+E(f327(f327(f122(x54951),x54952),x54953),f327(f327(f122(x54951),x54954),x54955))+~E(x54953,f327(f327(f122(x54951),x54956),x54955)) % 153.71/153.55 [6678]E(f327(x66781,x66782),f327(x66783,x66782))+~E(f327(f327(f138(x66784,x66785),x66781),x66786),f327(f327(f138(x66784,x66785),x66783),x66786))+~P134(f327(f327(f329(x66784),x66782),f327(f154(x66784),x66786))) % 153.71/153.55 [7074]~P23(x70744,x70745,x70746,x70741)+E(f327(f327(x70741,x70742),x70743),f327(f327(f69(x70744,x70745,x70746),x70743),x70742))+~P134(f327(f66(x70744),x70742)) % 153.71/153.55 [7144]~E(x71442,f327(x71444,x71446))+~P134(f327(f327(f329(x71443),x71446),x71445))+P134(f327(f327(f329(x71441),x71442),f327(f298(x71443,x71441,x71444),x71445))) % 153.71/153.55 [7145]~E(f327(x71454,x71452),x71456)+~P134(f327(f327(f329(x71453),x71456),x71455))+P134(f327(f327(f329(x71451),x71452),f327(f300(x71451,x71453,x71454),x71455))) % 153.71/153.55 [7616]~P31(x76161,x76162,x76164,x76166)+P31(x76161,x76162,f327(f327(f136(x76161),x76163),x76164),f327(f327(f136(x76161),x76165),x76166))+~P134(f327(f327(x76162,x76163),x76165)) % 153.71/153.55 [8582]~P53(x85824,x85825,x85821,x85822,x85826)+E(f327(x85821,f327(x85822,x85823)),x85823)+~P134(f327(f327(f329(x85825),x85823),x85826)) % 153.71/153.55 [9308]E(x93081,x93082)+E(f327(f177(f835(x93083)),x93084),f327(f177(f835(x93083)),x93085))+~P134(f327(f327(f329(f840(f835(x93083),f835(x93083))),f327(f327(f236(f835(x93083),f835(x93083)),f327(f327(f136(x93083),x93081),x93084)),f327(f327(f136(x93083),x93082),x93085))),f131(x93083,x93086))) % 153.71/153.55 [9368]~P20(x93681,x93682,x93683)+E(f327(f327(f69(x93681,x93682,x93683),x93684),x93685),x93686)+~P134(f327(f71(x93681,x93682,x93683,x93684,x93685),x93686)) % 153.71/153.55 [9375]E(f327(f177(f835(x93751)),x93752),f327(f177(f835(x93751)),x93753))+P134(f327(f327(f329(f840(f835(x93751),f835(x93751))),f327(f327(f236(f835(x93751),f835(x93751)),x93752),x93753)),f131(x93751,x93754)))+~P134(f327(f327(f329(f840(f835(x93751),f835(x93751))),f327(f327(f236(f835(x93751),f835(x93751)),f327(f327(f136(x93751),x93755),x93752)),f327(f327(f136(x93751),x93756),x93753))),f131(x93751,x93754))) % 153.71/153.55 [9397]~P134(f327(f327(f329(f840(x93971,x93971)),f327(f327(f236(x93971,x93971),x93972),x93974)),f295(x93971,x93976)))+P134(f327(f327(f329(f840(f835(x93971),f835(x93971))),f327(f327(f236(f835(x93971),f835(x93971)),f327(f327(f136(x93971),x93972),x93973)),f327(f327(f136(x93971),x93974),x93975))),f295(f835(x93971),f141(x93971,x93976))))+~P134(f327(f327(f329(f840(f835(x93971),f835(x93971))),f327(f327(f236(f835(x93971),f835(x93971)),x93973),x93975)),f295(f835(x93971),f141(x93971,x93976)))) % 153.71/153.55 [9867]~P65(x98672)+E(f327(f327(f8(x98671,x98672),f327(f327(f10(f841(x98673,a831),x98672,x98671),f327(f8(x98673,x98672),x98674)),f327(f327(f10(f841(x98673,a831),f841(x98673,a831),x98671),f251(x98673)),f327(f327(f10(f841(x98673,a831),f841(x98673,a831),x98671),f327(f20(x98673,a831,a831),f327(f327(f10(a831,f841(a831,a831),x98673),a325),f327(f327(f9(x98673,f841(x98673,a831),a831),f329(x98673)),x98675)))),f327(f9(x98673,x98671,a831),f327(f327(f10(x98671,f841(x98671,a831),x98673),a324),x98676)))))),f327(f298(x98673,x98671,x98676),x98675)),f327(f327(f8(x98673,x98672),x98674),x98675))+~P134(f327(f66(x98673),x98675)) % 153.71/153.55 [6737]~P97(x67373)+P134(f327(x67372,x67375))+E(f327(f123(x67371,x67372),f327(f327(f134(x67371,x67373,x67374),x67375),x67376)),f327(f123(x67371,x67372),x67376)) % 153.71/153.55 [6739]P134(f327(x67391,x67392))+~E(f149(x67393,x67391,x67394),f327(f327(f236(f835(x67393),f835(x67393)),x67395),x67396))+~P134(f327(f327(f329(x67393),x67392),f327(f154(x67393),x67395))) % 153.71/153.55 [6786]~P134(f327(x67862,x67866))+~E(f149(x67861,x67862,x67863),f327(f327(f236(f835(x67861),f835(x67861)),x67864),x67865))+~P134(f327(f327(f329(x67861),x67866),f327(f154(x67861),x67865))) % 153.71/153.55 [7480]~P19(x74801,x74802,x74803)+~P134(f327(f66(x74801),x74806))+E(f327(f327(f69(x74801,x74802,x74803),x74804),f327(f327(f297(x74801),x74805),x74806)),f327(f327(f69(x74801,x74802,x74803),f327(f327(x74803,x74805),x74804)),x74806)) % 153.71/153.55 [7532]~P97(x75322)+~P134(f327(f327(f227(x75322),f327(x75323,x75324)),f327(x75323,x75325)))+E(f327(f327(f134(x75321,x75322,x75323),x75324),f327(f327(f136(x75321),x75325),x75326)),f327(f327(f136(x75321),x75324),f327(f327(f136(x75321),x75325),x75326))) % 153.71/153.55 [7646]E(x76461,x76462)+~E(f327(f327(f243(x76463,x76464),x76461),f327(f18(f841(x76464,a831),x76463),x76465)),f327(f327(f243(x76463,x76464),x76462),f327(f18(f841(x76464,a831),x76463),x76465)))+~P134(f327(f327(f329(x76464),x76466),x76465)) % 153.71/153.55 [7713]~P19(x77131,x77132,x77133)+~P134(f327(f66(x77131),x77136))+E(f327(f327(f69(x77131,x77132,x77133),x77134),f327(f327(f297(x77131),x77135),x77136)),f327(f327(x77133,x77135),f327(f327(f69(x77131,x77132,x77133),x77134),x77136))) % 153.71/153.55 [7830]~P20(x78301,x78302,x78303)+~P134(f327(f66(x78301),x78306))+E(f327(f327(f69(x78301,x78302,x78303),f327(f327(x78303,x78304),x78305)),x78306),f327(f327(x78303,x78304),f327(f327(f69(x78301,x78302,x78303),x78305),x78306))) % 153.71/153.55 [7898]~P24(x78982,x78985,x78986,x78981)+~P134(f327(f66(x78982),x78984))+E(f327(x78981,f327(f327(f297(x78982),x78983),x78984)),f327(f77(x78985,x78985,x78985,f327(x78981,x78984)),f327(x78986,x78983))) % 153.71/153.55 [7930]~P97(x79302)+P134(f327(f327(f227(x79302),f327(x79303,x79304)),f327(x79303,x79305)))+E(f327(f327(f134(x79301,x79302,x79303),x79304),f327(f327(f136(x79301),x79305),x79306)),f327(f327(f136(x79301),x79305),f327(f327(f134(x79301,x79302,x79303),x79304),x79306))) % 153.71/153.55 [8062]~E(f327(f177(f835(x80621)),x80625),f327(f177(f835(x80622)),x80626))+~E(f327(f177(f835(x80621)),x80623),f327(f177(f835(x80622)),x80624))+E(f327(f327(f122(f840(x80621,x80622)),f327(f327(f163(x80621,x80622),x80623),x80624)),f327(f327(f163(x80621,x80622),x80625),x80626)),f327(f327(f163(x80621,x80622),f327(f327(f122(x80621),x80623),x80625)),f327(f327(f122(x80622),x80624),x80626))) % 153.71/153.55 [8172]~E(x81722,f327(f298(x81723,x81721,x81724),x81726))+P134(f327(f327(f227(f841(x81721,a831)),x81722),f327(f298(x81723,x81721,x81724),x81725)))+~P134(f327(f327(f227(f841(x81723,a831)),x81726),x81725)) % 153.71/153.55 [8271]~P97(x82715)+E(f327(x82711,x82712),f327(x82711,x82713))+E(f327(f327(f134(x82714,x82715,x82711),x82712),f327(f327(f134(x82714,x82715,x82711),x82713),x82716)),f327(f327(f134(x82714,x82715,x82711),x82713),f327(f327(f134(x82714,x82715,x82711),x82712),x82716))) % 153.71/153.55 [8305]~P28(x83053,x83051,x83054,x83055)+P28(x83053,x83051,f327(f327(f327(f76(x83053,x83051),x83054),x83056),x83052),x83055)+P134(f327(f327(f329(x83051),x83052),f327(f298(x83053,x83051,x83054),x83055))) % 153.71/153.55 [8442]~P134(f327(f327(f329(x84422),x84424),f327(x84426,x84423)))+~P134(f327(f327(f329(x84421),x84423),x84425))+P134(f327(f327(f329(f840(x84421,x84422)),f327(f327(f236(x84421,x84422),x84423),x84424)),f327(f327(f243(x84421,x84422),x84425),x84426))) % 153.71/153.55 [8846]~P65(x88462)+~P28(x88464,x88461,x88465,x88466)+E(f327(f327(f8(x88461,x88462),x88463),f327(f298(x88464,x88461,x88465),x88466)),f327(f327(f8(x88464,x88462),f327(f77(x88461,x88462,x88464,x88463),x88465)),x88466)) % 153.71/153.55 [8847]~P68(x88472)+~P28(x88474,x88471,x88475,x88476)+E(f327(f327(f11(x88471,x88472),x88473),f327(f298(x88474,x88471,x88475),x88476)),f327(f327(f11(x88474,x88472),f327(f77(x88471,x88472,x88474,x88473),x88475)),x88476)) % 153.71/153.55 [9085]~P23(x90853,x90851,x90856,x90852)+~P134(f327(f66(x90853),x90854))+E(f327(f77(x90851,x90851,x90851,f327(x90852,f327(f327(f3(f841(x90853,a831)),x90854),f327(f327(f297(x90853),x90855),f176(f841(x90853,a831)))))),f327(x90856,x90855)),f327(x90852,f327(f327(f297(x90853),x90855),x90854))) % 153.71/153.55 [9640]~E(f327(f298(x96402,x96404,x96406),f234(f841(x96402,a831))),f234(f841(x96404,a831)))+~E(f327(f298(x96401,x96403,x96405),f234(f841(x96401,a831))),f234(f841(x96403,a831)))+E(f327(f298(f840(x96401,x96402),f840(x96403,x96404),f247(x96401,x96403,x96402,x96404,x96405,x96406)),f234(f841(f840(x96401,x96402),a831))),f234(f841(f840(x96403,x96404),a831))) % 153.71/153.55 [9701]~P28(x97013,x97014,x97015,f327(x97016,f657(x97016,x97015,x97014,x97013,x97012,x97011)))+P28(x97013,x97014,x97015,f327(f327(f48(x97012,f841(x97013,a831)),x97011),x97016))+E(x97011,f176(f841(x97012,a831))) % 153.71/153.55 [9758]P28(x97586,x97585,x97584,f327(f327(f48(x97582,f841(x97586,a831)),x97581),x97583))+E(x97581,f176(f841(x97582,a831)))+P134(f327(f327(f329(x97582),f657(x97583,x97584,x97585,x97586,x97582,x97581)),x97581)) % 153.71/153.55 [9765]P134(f327(f327(f329(x97651),f605(x97652,x97653,x97654,x97655,x97656,x97651)),x97656))+P134(f327(f327(f227(f841(f840(x97651,x97654),a831)),f327(f327(f243(x97651,x97654),x97656),x97653)),f327(f327(f243(x97651,x97654),x97655),x97652)))+~P134(f327(f327(f227(f841(x97651,a831)),x97656),x97655)) % 153.71/153.55 [9884]~P134(f327(f327(f227(f841(x98842,a831)),f327(x98844,f605(x98846,x98844,x98842,x98845,x98843,x98841))),f327(x98846,f605(x98846,x98844,x98842,x98845,x98843,x98841))))+~P134(f327(f327(f227(f841(x98841,a831)),x98843),x98845))+P134(f327(f327(f227(f841(f840(x98841,x98842),a831)),f327(f327(f243(x98841,x98842),x98843),x98844)),f327(f327(f243(x98841,x98842),x98845),x98846))) % 153.71/153.55 [7665]~P134(f327(x76651,x76655))+~P134(f327(x76656,x76654))+P134(f327(x76651,f327(f245(x76652,x76653),f327(f327(f236(x76652,x76653),x76654),x76655)))) % 153.71/153.55 [7666]~P134(f327(x76661,x76664))+~P134(f327(x76666,x76665))+P134(f327(x76661,f327(f235(x76662,x76663),f327(f327(f236(x76662,x76663),x76664),x76665)))) % 153.71/153.55 [7718]~P134(f327(f327(x77184,x77186),x77185))+~P134(f327(f327(f329(x77181),x77186),x77183))+P134(f327(f327(f327(f47(x77181,f841(x77182,a831)),x77183),x77184),x77185)) % 153.71/153.55 [7751]~E(f327(f177(f835(x77511)),x77513),f327(f177(f835(x77514)),x77515))+~E(f327(f162(x77511,x77514,f327(f327(f163(x77511,x77514),x77513),x77515)),x77512),f327(f222(x77514),x77516))+P134(f327(f327(f329(x77511),x77512),f327(f154(x77511),x77513))) % 153.71/153.55 [8014]~P134(f327(f327(f329(x80141),x80142),f327(x80145,x80146)))+~P134(f327(f327(f329(x80143),x80146),x80144))+P134(f327(f327(f329(x80141),x80142),f327(f327(f47(x80143,f841(x80141,a831)),x80144),x80145))) % 153.71/153.55 [8056]P134(f327(f327(x80561,x80562),x80563))+~P134(f327(f327(x80564,x80562),x80563))+~P134(f327(f327(f227(f841(x80565,f841(x80566,a831))),x80564),x80561)) % 153.71/153.55 [8194]P134(f327(f327(x81941,x81942),x81943))+~P134(f327(f327(f329(x81944),x81942),x81945))+~P134(f327(f327(f327(f48(x81944,f841(x81946,a831)),x81945),x81941),x81943)) % 153.71/153.55 [8326]P134(f327(f327(f329(x83261),x83262),f327(x83263,x83264)))+~P134(f327(f327(f329(x83265),x83264),x83266))+~P134(f327(f327(f329(x83261),x83262),f327(f327(f48(x83265,f841(x83261,a831)),x83266),x83263))) % 153.71/153.55 [8564]~P16(x85644,x85645,x85646,x85641)+E(f327(x85641,x85642),f327(x85641,x85643))+~P134(f327(f327(f329(f840(x85644,x85644)),f327(f327(f236(x85644,x85644),x85642),x85643)),x85646)) % 153.71/153.55 [8595]P134(f327(f327(f227(f841(x85951,a831)),x85952),f327(x85953,x85954)))+~P134(f327(f327(f329(x85955),x85954),x85956))+~P134(f327(f327(f227(f841(x85951,a831)),x85952),f327(f327(f48(x85955,f841(x85951,a831)),x85956),x85953))) % 153.71/153.55 [8621]~P51(x86213,x86214,f327(f273(x86214,x86213),x86215))+E(x86211,f176(f841(x86212,a831)))+E(f327(f327(f48(x86212,f841(x86213,a831)),x86211),f327(f327(f10(f841(x86214,a831),f841(x86213,a831),x86212),f272(x86214,x86213,x86215)),x86216)),f327(f272(x86214,x86213,x86215),f327(f327(f48(x86212,f841(x86214,a831)),x86211),x86216))) % 153.71/153.55 [8693]P134(f327(f327(f329(x86931),x86932),f327(f272(x86933,x86931,x86934),x86935)))+~P134(f327(f327(f329(x86933),x86936),x86935))+~P134(f327(f327(f329(f840(x86933,x86931)),f327(f327(f236(x86933,x86931),x86936),x86932)),x86934)) % 153.71/153.55 [8964]P134(f327(f327(f227(f841(x89641,a831)),f327(f272(x89642,x89641,x89643),x89644)),f327(f272(x89642,x89641,x89645),x89646)))+~P134(f327(f327(f227(f841(x89642,a831)),x89644),x89646))+~P134(f327(f327(f227(f841(f840(x89642,x89641),a831)),x89643),x89645)) % 153.71/153.55 [9121]~P134(f327(f327(f329(x91212),x91216),x91214))+~P134(f327(f327(f227(f841(x91211,a831)),x91213),x91215))+P134(f327(f327(f227(f841(f840(x91211,x91212),a831)),f327(f327(f243(x91211,x91212),x91213),f327(f18(f841(x91212,a831),x91211),x91214))),f327(f327(f243(x91211,x91212),x91215),f327(f18(f841(x91212,a831),x91211),x91214)))) % 153.71/153.55 [9266]~E(x92663,x92665)+P134(f327(f327(f329(f840(f835(x92661),f835(x92661))),f327(f327(f236(f835(x92661),f835(x92661)),f327(f327(f136(x92661),x92662),x92663)),f327(f327(f136(x92661),x92664),x92665))),f141(x92661,x92666)))+~P134(f327(f327(f329(f840(x92661,x92661)),f327(f327(f236(x92661,x92661),x92662),x92664)),x92666)) % 153.71/153.55 [9272]~E(f327(f177(f835(x92721)),x92723),f327(f177(f835(x92721)),x92725))+P134(f327(f327(f329(f840(f835(x92721),f835(x92721))),f327(f327(f236(f835(x92721),f835(x92721)),f327(f327(f136(x92721),x92722),x92723)),f327(f327(f136(x92721),x92724),x92725))),f131(x92721,x92726)))+~P134(f327(f327(f329(f840(x92721,x92721)),f327(f327(f236(x92721,x92721),x92722),x92724)),x92726)) % 153.71/153.55 [9300]P134(f327(f327(f329(f840(x93001,x93001)),f327(f327(f236(x93001,x93001),x93002),x93003)),f327(f327(f169(f840(x93001,x93001),a831),f327(a111,x93004)),x93005)))+~P134(f327(f327(f329(f840(x93001,x93001)),f327(f327(f236(x93001,x93001),x93006),x93003)),x93005))+~P134(f327(f327(f329(f840(x93001,x93001)),f327(f327(f236(x93001,x93001),x93002),x93006)),f327(f327(f169(f840(x93001,x93001),a831),x93004),x93005))) % 153.71/153.55 [9301]P134(f327(f327(f329(f840(x93011,x93011)),f327(f327(f236(x93011,x93011),x93012),x93013)),f327(f327(f169(f840(x93011,x93011),a831),f327(a111,x93014)),x93015)))+~P134(f327(f327(f329(f840(x93011,x93011)),f327(f327(f236(x93011,x93011),x93012),x93016)),x93015))+~P134(f327(f327(f329(f840(x93011,x93011)),f327(f327(f236(x93011,x93011),x93016),x93013)),f327(f327(f169(f840(x93011,x93011),a831),x93014),x93015))) % 153.71/153.55 [9304]~P134(f327(f327(f329(x93044),x93045),x93046))+P134(f327(f327(f227(f841(x93041,a831)),x93042),x93043))+~P134(f327(f327(f227(f841(f840(x93041,x93044),a831)),f327(f327(f243(x93041,x93044),x93042),f327(f18(f841(x93044,a831),x93041),x93046))),f327(f327(f243(x93041,x93044),x93043),f327(f18(f841(x93044,a831),x93041),x93046)))) % 153.71/153.55 [9344]E(x93441,x93442)+~P134(f327(f327(f329(f840(f835(x93443),f835(x93443))),f327(f327(f236(f835(x93443),f835(x93443)),f327(f327(f136(x93443),x93441),x93445)),f327(f327(f136(x93443),x93442),x93446))),f131(x93443,x93444)))+P134(f327(f327(f329(f840(x93443,x93443)),f327(f327(f236(x93443,x93443),x93441),x93442)),x93444)) % 153.71/153.55 [9345]E(x93451,x93452)+~P134(f327(f327(f329(f840(f835(x93453),f835(x93453))),f327(f327(f236(f835(x93453),f835(x93453)),f327(f327(f136(x93453),x93451),x93455)),f327(f327(f136(x93453),x93452),x93456))),f133(x93453,x93454)))+P134(f327(f327(f329(f840(x93453,x93453)),f327(f327(f236(x93453,x93453),x93451),x93452)),x93454)) % 153.71/153.55 [9346]E(x93461,x93462)+~P134(f327(f327(f329(f840(f835(x93463),f835(x93463))),f327(f327(f236(f835(x93463),f835(x93463)),f327(f327(f136(x93463),x93461),x93465)),f327(f327(f136(x93463),x93462),x93466))),f141(x93463,x93464)))+P134(f327(f327(f329(f840(x93463,x93463)),f327(f327(f236(x93463,x93463),x93461),x93462)),x93464)) % 153.71/153.55 [9383]P134(f327(f327(f329(f840(f835(x93831),f835(x93831))),f327(f327(f236(f835(x93831),f835(x93831)),f327(f327(f136(x93831),x93832),x93833)),f327(f327(f136(x93831),x93834),x93835))),f142(x93831,x93836)))+~P134(f327(f327(f329(f840(f835(x93831),f835(x93831))),f327(f327(f236(f835(x93831),f835(x93831)),x93833),x93835)),f142(x93831,x93836)))+~P134(f327(f327(f329(f840(x93831,x93831)),f327(f327(f236(x93831,x93831),x93832),x93834)),x93836)) % 153.71/153.55 [9403]P134(f327(x94031,x94032))+~P134(f327(x94031,f374(x94031,x94033,x94034,x94035,x94036)))+~P134(f327(f327(f329(x94036),x94032),f327(f327(f47(x94035,f841(x94036,a831)),x94034),x94033))) % 153.71/153.55 [9408]~P134(f327(f327(f329(f840(f835(x94081),f835(x94081))),f327(f327(f236(f835(x94081),f835(x94081)),f327(f327(f136(x94081),x94082),x94085)),f327(f327(f136(x94081),x94083),x94086))),f131(x94081,x94084)))+P134(f327(f327(f329(f840(f835(x94081),f835(x94081))),f327(f327(f236(f835(x94081),f835(x94081)),x94085),x94086)),f131(x94081,x94084)))+P134(f327(f327(f329(f840(x94081,x94081)),f327(f327(f236(x94081,x94081),x94082),x94083)),x94084)) % 153.71/153.55 [9409]~P134(f327(f327(f329(f840(f835(x94091),f835(x94091))),f327(f327(f236(f835(x94091),f835(x94091)),f327(f327(f136(x94091),x94092),x94095)),f327(f327(f136(x94091),x94093),x94096))),f133(x94091,x94094)))+P134(f327(f327(f329(f840(f835(x94091),f835(x94091))),f327(f327(f236(f835(x94091),f835(x94091)),x94095),x94096)),f133(x94091,x94094)))+P134(f327(f327(f329(f840(x94091,x94091)),f327(f327(f236(x94091,x94091),x94092),x94093)),x94094)) % 153.71/153.55 [9410]~P134(f327(f327(f329(f840(f835(x94101),f835(x94101))),f327(f327(f236(f835(x94101),f835(x94101)),f327(f327(f136(x94101),x94102),x94105)),f327(f327(f136(x94101),x94103),x94106))),f141(x94101,x94104)))+P134(f327(f327(f329(f840(f835(x94101),f835(x94101))),f327(f327(f236(f835(x94101),f835(x94101)),x94105),x94106)),f141(x94101,x94104)))+P134(f327(f327(f329(f840(x94101,x94101)),f327(f327(f236(x94101,x94101),x94102),x94103)),x94104)) % 153.71/153.55 [9487]P134(f327(x94871,x94872))+P134(f327(f327(f329(x94873),f375(x94871,x94874,x94875,x94873,x94876)),x94875))+~P134(f327(f327(f329(x94876),x94872),f327(f327(f47(x94873,f841(x94876,a831)),x94875),x94874))) % 153.71/153.55 [9494]~E(x94942,x94944)+P134(f327(f327(f329(f840(f835(x94941),f835(x94941))),f327(f327(f236(f835(x94941),f835(x94941)),f327(f327(f122(x94941),x94942),f327(f327(f136(x94941),x94943),f112(x94941)))),f327(f327(f122(x94941),x94944),f327(f327(f136(x94941),x94945),f112(x94941))))),f141(x94941,x94946)))+~P134(f327(f327(f329(f840(x94941,x94941)),f327(f327(f236(x94941,x94941),x94943),x94945)),x94946)) % 153.71/153.55 [9573]E(x95731,x95732)+~P134(f327(f327(f329(f840(f835(x95733),f835(x95733))),f327(f327(f236(f835(x95733),f835(x95733)),f327(f327(f122(x95733),x95735),f327(f327(f136(x95733),x95731),f112(x95733)))),f327(f327(f122(x95733),x95736),f327(f327(f136(x95733),x95732),f112(x95733))))),f141(x95733,x95734)))+P134(f327(f327(f329(f840(x95733,x95733)),f327(f327(f236(x95733,x95733),x95731),x95732)),x95734)) % 153.71/153.55 [9598]~P134(f327(f327(f329(f840(f835(x95981),f835(x95981))),f327(f327(f236(f835(x95981),f835(x95981)),f327(f327(f122(x95981),x95985),f327(f327(f136(x95981),x95982),f112(x95981)))),f327(f327(f122(x95981),x95986),f327(f327(f136(x95981),x95983),f112(x95981))))),f141(x95981,x95984)))+P134(f327(f327(f329(f840(f835(x95981),f835(x95981))),f327(f327(f236(f835(x95981),f835(x95981)),x95985),x95986)),f141(x95981,x95984)))+P134(f327(f327(f329(f840(x95981,x95981)),f327(f327(f236(x95981,x95981),x95982),x95983)),x95984)) % 153.71/153.55 [9612]P134(f327(x96121,x96122))+P134(f327(f327(f329(x96123),f374(x96121,x96124,x96125,x96126,x96123)),f327(x96124,f375(x96121,x96124,x96125,x96126,x96123))))+~P134(f327(f327(f329(x96123),x96122),f327(f327(f47(x96126,f841(x96123,a831)),x96125),x96124))) % 153.71/153.55 [8706]~P20(x87063,x87064,x87061)+~P134(f327(f66(x87063),x87066))+E(f327(f327(x87061,x87062),f327(f327(f69(x87063,x87064,x87061),x87065),f327(f327(f3(f841(x87063,a831)),x87066),f327(f327(f297(x87063),x87062),f176(f841(x87063,a831)))))),f327(f327(f69(x87063,x87064,x87061),x87065),f327(f327(f297(x87063),x87062),x87066))) % 153.71/153.55 [8801]~E(f327(f162(x88011,x88012,x88014),x88015),f327(f222(x88012),x88016))+~P134(f327(f327(x88013,x88015),x88016))+E(f327(f162(x88011,x88012,f327(f123(f840(x88011,x88012),f327(f246(x88011,x88012,a831),x88013)),x88014)),x88015),f327(f222(x88012),x88016)) % 153.71/153.55 [8970]~P134(f327(f327(f329(x89705),x89703),x89706))+P134(f327(f327(f227(f841(x89701,a831)),f327(x89702,x89703)),x89704))+~P134(f327(f327(f227(f841(x89701,a831)),f327(f327(f47(x89705,f841(x89701,a831)),x89706),x89702)),x89704)) % 153.71/153.55 [9549]~P12(x95491,x95495,x95494)+P134(f327(f327(f329(f840(x95491,x95491)),f327(f327(f236(x95491,x95491),x95492),x95493)),x95494))+~P134(f327(f327(f329(x95491),x95496),f327(f327(f101(f841(x95491,a831)),f327(f272(x95491,x95491,x95494),f327(f327(f297(x95491),x95492),f176(f841(x95491,a831))))),f327(f272(x95491,x95491,x95494),f327(f327(f297(x95491),x95493),f176(f841(x95491,a831))))))) % 153.71/153.55 [8475]~P117(x84752)+~E(f327(f327(f84(x84752),f327(f327(f85(x84752),x84754),x84755)),x84751),f327(f327(f84(x84752),f327(f327(f85(x84752),x84753),x84755)),x84756))+E(x84751,f327(f327(f84(x84752),f327(f327(f85(x84752),f327(f327(f3(x84752),x84753),x84754)),x84755)),x84756)) % 153.71/153.55 [8476]~P117(x84761)+~E(f327(f327(f84(x84761),f327(f327(f85(x84761),x84762),x84764)),x84765),f327(f327(f84(x84761),f327(f327(f85(x84761),x84763),x84764)),x84766))+E(f327(f327(f84(x84761),f327(f327(f85(x84761),f327(f327(f3(x84761),x84762),x84763)),x84764)),x84765),x84766) % 153.71/153.55 [8624]~P117(x86241)+E(f327(f327(f84(x86241),f327(f327(f85(x86241),x86242),x86243)),x86244),f327(f327(f84(x86241),f327(f327(f85(x86241),x86245),x86243)),x86246))+~E(x86246,f327(f327(f84(x86241),f327(f327(f85(x86241),f327(f327(f3(x86241),x86242),x86245)),x86243)),x86244)) % 153.71/153.55 [8625]~P117(x86251)+E(f327(f327(f84(x86251),f327(f327(f85(x86251),x86252),x86253)),x86254),f327(f327(f84(x86251),f327(f327(f85(x86251),x86255),x86253)),x86256))+~E(f327(f327(f84(x86251),f327(f327(f85(x86251),f327(f327(f3(x86251),x86252),x86255)),x86253)),x86254),x86256) % 153.71/153.55 [8910]~P134(f327(f327(x89104,x89105),x89106))+~P134(f327(f327(x89103,x89105),x89106))+P134(f327(f327(f327(f327(f101(f841(x89101,f841(x89102,a831))),x89103),x89104),x89105),x89106)) % 153.71/153.55 [9140]P134(f327(f327(x91401,x91402),x91403))+P134(f327(f327(x91404,x91402),x91403))+~P134(f327(f327(f327(f327(f100(f841(x91405,f841(x91406,a831))),x91404),x91401),x91402),x91403)) % 153.71/153.55 [9296]~E(f327(f177(f835(x92961)),x92965),f327(f177(f835(x92962)),x92966))+E(f166(x92961,x92962,f168(x92961,x92962,x92963,f327(f327(f3(f841(x92961,a831)),x92964),f327(f154(x92961),x92965))),f162(x92961,x92962,f327(f151(f840(x92961,x92962)),f327(f327(f163(x92961,x92962),x92965),x92966)))),f168(x92961,x92962,f166(x92961,x92962,x92963,f162(x92961,x92962,f327(f151(f840(x92961,x92962)),f327(f327(f163(x92961,x92962),x92965),x92966)))),x92964))+~P134(f327(f327(f227(f841(x92961,a831)),f327(f154(x92961),x92965)),x92964)) % 153.71/153.55 [9425]~P125(x94251)+~P134(f327(f327(f228(x94251),f327(f327(f84(x94251),f327(f327(f85(x94251),x94254),x94255)),x94252)),f327(f327(f84(x94251),f327(f327(f85(x94251),x94253),x94255)),x94256)))+P134(f327(f327(f228(x94251),x94252),f327(f327(f84(x94251),f327(f327(f85(x94251),f327(f327(f3(x94251),x94253),x94254)),x94255)),x94256))) % 153.71/153.55 [9426]~P125(x94261)+~P134(f327(f327(f227(x94261),f327(f327(f84(x94261),f327(f327(f85(x94261),x94264),x94265)),x94262)),f327(f327(f84(x94261),f327(f327(f85(x94261),x94263),x94265)),x94266)))+P134(f327(f327(f227(x94261),x94262),f327(f327(f84(x94261),f327(f327(f85(x94261),f327(f327(f3(x94261),x94263),x94264)),x94265)),x94266))) % 153.71/153.55 [9443]~P125(x94431)+P134(f327(f327(f228(x94431),f327(f327(f84(x94431),f327(f327(f85(x94431),x94432),x94433)),x94434)),f327(f327(f84(x94431),f327(f327(f85(x94431),x94435),x94433)),x94436)))+~P134(f327(f327(f228(x94431),x94434),f327(f327(f84(x94431),f327(f327(f85(x94431),f327(f327(f3(x94431),x94435),x94432)),x94433)),x94436))) % 153.71/153.55 [9444]~P125(x94441)+P134(f327(f327(f227(x94441),f327(f327(f84(x94441),f327(f327(f85(x94441),x94442),x94443)),x94444)),f327(f327(f84(x94441),f327(f327(f85(x94441),x94445),x94443)),x94446)))+~P134(f327(f327(f227(x94441),x94444),f327(f327(f84(x94441),f327(f327(f85(x94441),f327(f327(f3(x94441),x94445),x94442)),x94443)),x94446))) % 153.71/153.55 [9542]~P125(x95421)+~P134(f327(f327(f228(x95421),f327(f327(f84(x95421),f327(f327(f85(x95421),x95422),x95424)),x95425)),f327(f327(f84(x95421),f327(f327(f85(x95421),x95423),x95424)),x95426)))+P134(f327(f327(f228(x95421),f327(f327(f84(x95421),f327(f327(f85(x95421),f327(f327(f3(x95421),x95422),x95423)),x95424)),x95425)),x95426)) % 153.71/153.55 [9543]~P125(x95431)+~P134(f327(f327(f227(x95431),f327(f327(f84(x95431),f327(f327(f85(x95431),x95432),x95434)),x95435)),f327(f327(f84(x95431),f327(f327(f85(x95431),x95433),x95434)),x95436)))+P134(f327(f327(f227(x95431),f327(f327(f84(x95431),f327(f327(f85(x95431),f327(f327(f3(x95431),x95432),x95433)),x95434)),x95435)),x95436)) % 153.71/153.55 [9583]~P125(x95831)+P134(f327(f327(f228(x95831),f327(f327(f84(x95831),f327(f327(f85(x95831),x95832),x95833)),x95834)),f327(f327(f84(x95831),f327(f327(f85(x95831),x95835),x95833)),x95836)))+~P134(f327(f327(f228(x95831),f327(f327(f84(x95831),f327(f327(f85(x95831),f327(f327(f3(x95831),x95832),x95835)),x95833)),x95834)),x95836)) % 153.71/153.55 [9584]~P125(x95841)+P134(f327(f327(f227(x95841),f327(f327(f84(x95841),f327(f327(f85(x95841),x95842),x95843)),x95844)),f327(f327(f84(x95841),f327(f327(f85(x95841),x95845),x95843)),x95846)))+~P134(f327(f327(f227(x95841),f327(f327(f84(x95841),f327(f327(f85(x95841),f327(f327(f3(x95841),x95842),x95845)),x95843)),x95844)),x95846)) % 153.71/153.55 [9753]~P65(x97532)+~P134(f327(f66(x97531),x97536))+E(f327(f327(f8(x97531,x97532),f327(f327(f20(x97531,x97532,x97532),f327(f327(f20(x97531,x97532,f841(x97532,x97532)),f327(f327(f10(a831,f841(x97532,f841(x97532,x97532)),x97531),f95(x97532)),x97533)),x97534)),x97535)),x97536),f327(f327(f84(x97532),f327(f327(f8(x97531,x97532),x97534),f327(f327(f101(f841(x97531,a831)),x97536),f327(f251(x97531),x97533)))),f327(f327(f8(x97531,x97532),x97535),f327(f327(f101(f841(x97531,a831)),x97536),f327(f83(f841(x97531,a831)),f327(f251(x97531),x97533)))))) % 153.71/153.55 [9816]P134(f327(f327(f329(x98162),x98164),x98166))+P134(f327(f327(f329(x98162),x98165),x98166))+E(f327(f300(x98161,x98162,f327(f327(f9(x98161,x98162,x98162),f327(f327(f9(x98161,x98162,f841(x98162,x98162)),f327(f327(f10(a831,f841(x98162,f841(x98162,x98162)),x98161),f95(x98162)),f327(f327(f9(x98161,f841(x98161,a831),a831),f329(x98161)),x98163))),x98164)),x98165)),x98166),f176(f841(x98161,a831))) % 153.71/153.55 [9817]P134(f327(f327(f329(x98172),x98175),x98176))+~P134(f327(f327(f329(x98172),x98174),x98176))+E(f327(f300(x98171,x98172,f327(f327(f9(x98171,x98172,x98172),f327(f327(f9(x98171,x98172,f841(x98172,x98172)),f327(f327(f10(a831,f841(x98172,f841(x98172,x98172)),x98171),f95(x98172)),f327(f327(f9(x98171,f841(x98171,a831),a831),f329(x98171)),x98173))),x98174)),x98175)),x98176),x98173) % 153.71/153.55 [9818]P134(f327(f327(f329(x98182),x98184),x98186))+~P134(f327(f327(f329(x98182),x98185),x98186))+E(f327(f300(x98181,x98182,f327(f327(f9(x98181,x98182,x98182),f327(f327(f9(x98181,x98182,f841(x98182,x98182)),f327(f327(f10(a831,f841(x98182,f841(x98182,x98182)),x98181),f95(x98182)),f327(f327(f9(x98181,f841(x98181,a831),a831),f329(x98181)),x98183))),x98184)),x98185)),x98186),f327(f83(f841(x98181,a831)),x98183)) % 153.71/153.55 [9819]~P134(f327(f327(f329(x98192),x98194),x98196))+~P134(f327(f327(f329(x98192),x98195),x98196))+E(f327(f300(x98191,x98192,f327(f327(f9(x98191,x98192,x98192),f327(f327(f9(x98191,x98192,f841(x98192,x98192)),f327(f327(f10(a831,f841(x98192,f841(x98192,x98192)),x98191),f95(x98192)),f327(f327(f9(x98191,f841(x98191,a831),a831),f329(x98191)),x98193))),x98194)),x98195)),x98196),f234(f841(x98191,a831))) % 153.71/153.55 [8500]E(x85001,x85002)+~P53(x85004,x85005,x85003,x85006,x85007)+~E(f327(x85003,x85001),f327(x85003,x85002)) % 153.71/153.55 [6899]E(f327(f224(f838(x68991),x68992,f179(x68991),x68993),f327(x68994,x68995)),f327(f222(x68991),x68996))+~E(f327(x68994,x68995),f327(f222(x68992),x68997))+~E(f327(x68993,x68997),f327(f222(x68991),x68996)) % 153.71/153.55 [8522]~P15(x85226,x85225,x85227,x85224,x85221)+E(f327(f327(x85221,x85222),x85223),x85224)+P134(f327(f66(x85225),x85223)) % 153.71/153.55 [9291]P39(x92911,x92912,x92913,x92914,x92915,f327(f327(x92913,x92916),x92917))+~E(f327(f327(x92913,x92916),x92917),x92914)+~E(x92915,f176(f841(x92911,a831))) % 153.71/153.55 [9464]~P134(f327(x94646,x94643))+~P134(f327(f327(f329(f840(x94642,x94642)),f327(f327(f236(x94642,x94642),x94644),x94645)),f327(x94647,x94643)))+P134(f327(f327(f329(f840(f840(x94641,x94642),f840(x94641,x94642))),f327(f327(f236(f840(x94641,x94642),f840(x94641,x94642)),f327(f327(f236(x94641,x94642),x94643),x94644)),f327(f327(f236(x94641,x94642),x94643),x94645))),f270(x94641,x94642,x94646,x94647))) % 153.71/153.55 [9638]~P28(x96383,x96381,x96384,f234(f841(x96383,a831)))+E(f327(f162(x96381,x96382,f327(f327(f138(f840(x96383,x96382),f840(x96381,x96382)),f327(f246(x96383,x96382,f840(x96381,x96382)),f327(f327(f10(x96381,f841(x96382,f840(x96381,x96382)),x96383),f236(x96381,x96382)),x96384))),x96385)),f327(x96384,x96386)),f327(f222(x96382),x96387))+~E(f327(f162(x96383,x96382,x96385),x96386),f327(f222(x96382),x96387)) % 153.71/153.55 [9869]~P39(x98692,x98697,x98693,x98696,x98691,f327(f327(x98693,x98695),x98694))+E(f327(f327(x98693,f440(x98694,x98695,x98691,x98696,x98693,x98697,x98692)),f441(x98694,x98695,x98691,x98696,x98693,x98697,x98692)),f327(f327(x98693,x98695),x98694))+E(x98691,f176(f841(x98692,a831))) % 153.71/153.55 [9870]~P39(x98707,x98706,x98701,x98704,x98705,f327(f327(x98701,x98702),x98703))+E(f327(f327(x98701,f440(x98703,x98702,x98705,x98704,x98701,x98706,x98707)),f441(x98703,x98702,x98705,x98704,x98701,x98706,x98707)),f327(f327(x98701,x98702),x98703))+E(f327(f327(x98701,x98702),x98703),x98704) % 153.71/153.55 [9530]~P134(f327(f71(x95301,x95304,x95305,x95306,x95303),x95307))+P134(f327(f71(x95301,x95304,x95305,x95306,f327(f327(f297(x95301),x95302),x95303)),f327(f327(x95305,x95302),x95307)))+P134(f327(f327(f329(x95301),x95302),x95303)) % 153.71/153.55 [9894]~P39(x98942,x98947,x98946,x98945,x98941,f327(f327(x98946,x98944),x98943))+E(x98941,f176(f841(x98942,a831)))+P134(f327(f327(f329(x98942),f440(x98943,x98944,x98941,x98945,x98946,x98947,x98942)),x98941)) % 153.71/153.55 [9895]~P39(x98955,x98957,x98951,x98954,x98956,f327(f327(x98951,x98952),x98953))+E(f327(f327(x98951,x98952),x98953),x98954)+P134(f327(f327(f329(x98955),f440(x98953,x98952,x98956,x98954,x98951,x98957,x98955)),x98956)) % 153.71/153.55 [6677]~E(x66775,x66777)+~E(x66776,x66774)+E(f327(f327(f327(f327(f76(x66771,f838(x66772)),x66773),x66774),f327(f222(x66772),x66775)),x66776),f327(f222(x66772),x66777)) % 153.71/153.55 [6809]E(x68091,x68092)+~E(f327(x68095,x68091),f327(f222(x68094),x68097))+E(f327(f327(f327(f327(f76(x68093,f838(x68094)),x68095),x68092),f327(f222(x68094),x68096)),x68091),f327(f222(x68094),x68097)) % 153.71/153.55 [7557]E(x75571,x75572)+~E(x75573,x75574)+~E(f327(f327(f327(f327(f76(x75575,f838(x75576)),x75577),x75574),f327(f222(x75576),x75571)),x75573),f327(f222(x75576),x75572)) % 153.71/153.55 [7622]E(x76221,x76222)+E(f327(x76223,x76224),f327(f222(x76225),x76221))+~E(f327(f327(f327(f327(f76(x76226,f838(x76225)),x76223),x76227),f327(f222(x76225),x76222)),x76224),f327(f222(x76225),x76221)) % 153.71/153.55 [7623]E(x76231,x76232)+E(f327(x76233,x76231),f327(f222(x76234),x76235))+~E(f327(f327(f327(f327(f76(x76236,f838(x76234)),x76233),x76232),f327(f222(x76234),x76237)),x76231),f327(f222(x76234),x76235)) % 153.71/153.55 [8726]~P25(x87264,x87265,x87266,x87267,x87261)+~P134(f327(f66(x87265),x87263))+E(f327(f327(x87261,x87262),x87263),f327(f327(f327(f70(x87264,x87265,x87266),x87262),x87267),x87263)) % 153.71/153.55 [8727]~P15(x87274,x87275,x87276,x87277,x87271)+~P134(f327(f66(x87275),x87273))+E(f327(f327(x87271,x87272),x87273),f327(f327(f327(f70(x87274,x87275,x87276),x87272),x87277),x87273)) % 153.71/153.55 [9438]~P27(x94383,x94384,x94385,x94387,x94386,x94381)+~P134(f327(f66(x94384),x94382))+E(f327(x94381,x94382),f327(f327(f327(f70(x94383,x94384,x94385),x94386),x94387),x94382)) % 153.71/153.55 [9578]P39(x95781,x95782,x95783,x95784,x95785,f327(f327(x95783,x95786),x95787))+~P39(x95781,x95782,x95783,x95784,f327(f327(f3(f841(x95781,a831)),x95785),f327(f327(f297(x95781),x95786),f176(f841(x95781,a831)))),x95787)+~P134(f327(f327(f329(x95781),x95786),x95785)) % 153.71/153.55 [9912]P134(f327(f327(x99127,f815(x99124,x99125,x99121,x99126,x99123,x99122,x99127)),f816(x99124,x99125,x99121,x99126,x99123,x99122,x99127)))+~P134(f327(f327(x99127,f327(f245(x99122,x99123),x99126)),f327(f235(x99122,x99123),x99126)))+P134(f327(x99121,f327(f327(f246(x99122,x99123,x99124),x99125),x99126))) % 153.71/153.55 [9921]~P39(x99212,x99213,x99214,x99215,x99211,f327(f327(x99214,x99217),x99216))+P39(x99212,x99213,x99214,x99215,f327(f327(f3(f841(x99212,a831)),x99211),f327(f327(f297(x99212),f440(x99216,x99217,x99211,x99215,x99214,x99213,x99212)),f176(f841(x99212,a831)))),f441(x99216,x99217,x99211,x99215,x99214,x99213,x99212))+E(x99211,f176(f841(x99212,a831))) % 153.71/153.55 [9922]~P39(x99225,x99226,x99221,x99224,x99227,f327(f327(x99221,x99222),x99223))+P39(x99225,x99226,x99221,x99224,f327(f327(f3(f841(x99225,a831)),x99227),f327(f327(f297(x99225),f440(x99223,x99222,x99227,x99224,x99221,x99226,x99225)),f176(f841(x99225,a831)))),f441(x99223,x99222,x99227,x99224,x99221,x99226,x99225))+E(f327(f327(x99221,x99222),x99223),x99224) % 153.71/153.55 [9941]~P134(f327(x99411,f327(f327(x99415,f816(x99414,x99415,x99411,x99416,x99413,x99412,x99417)),f815(x99414,x99415,x99411,x99416,x99413,x99412,x99417))))+~P134(f327(f327(x99417,f327(f245(x99412,x99413),x99416)),f327(f235(x99412,x99413),x99416)))+P134(f327(x99411,f327(f327(f246(x99412,x99413,x99414),x99415),x99416))) % 153.71/153.55 [9280]P134(f327(f327(f227(f841(f840(x92801,x92802),a831)),f327(f327(f276(x92801,x92803,x92802),x92804),x92805)),f327(f327(f276(x92801,x92803,x92802),x92806),x92807)))+~P134(f327(f327(f227(f841(f840(x92803,x92802),a831)),x92805),x92807))+~P134(f327(f327(f227(f841(f840(x92801,x92803),a831)),x92804),x92806)) % 153.71/153.55 [9589]~P134(f327(f327(f329(x95891),x95896),x95895))+P134(f327(f71(x95891,x95892,x95893,x95894,x95895),f327(f327(x95893,x95896),x95897)))+~P134(f327(f71(x95891,x95892,x95893,x95894,f327(f327(f3(f841(x95891,a831)),x95895),f327(f327(f297(x95891),x95896),f176(f841(x95891,a831))))),x95897)) % 153.71/153.55 [9188]E(f166(x91881,x91882,x91883,f162(x91881,x91882,f327(f151(f840(x91881,x91882)),f327(f327(f163(x91881,x91882),x91884),f327(f327(f143(x91882,x91885),x91886),x91887))))),f166(x91881,x91882,x91883,f162(x91881,x91882,f327(f151(f840(x91881,x91882)),f327(f327(f163(x91881,x91882),x91884),x91885)))))+~P134(f327(f327(f228(a834),x91886),f327(f177(f835(x91882)),x91885)))+~P134(f327(f327(f227(a834),f327(f177(f835(x91881)),x91884)),x91886)) % 153.71/153.55 [9969]~P133(x99691)+~P28(f840(x99692,x99693),x99691,f327(f246(x99692,x99693,x99691),f327(f327(f9(x99692,f841(x99693,x99691),f841(x99693,x99691)),f327(f327(f10(f841(x99691,x99691),f841(f841(x99693,x99691),f841(x99693,x99691)),x99692),f10(x99691,x99691,x99693)),f327(f327(f10(x99691,f841(x99691,x99691),x99692),f85(x99691)),x99694))),x99695)),f327(f327(f243(x99692,x99693),x99696),f327(f18(f841(x99693,a831),x99692),x99697)))+E(f327(f327(f8(x99691,x99691),f39(x99691)),f327(f251(x99691),f327(f327(f10(f841(x99692,a831),a831,x99691),f91(x99692)),f327(f327(f10(f841(x99692,f841(x99693,a831)),f841(x99692,a831),x99691),f327(f10(f841(x99693,a831),a831,x99692),f91(x99693))),f327(f327(f9(x99691,f841(x99692,f841(x99693,a831)),f841(x99692,f841(x99693,a831))),f327(f327(f10(f841(x99692,f841(f841(x99693,a831),f841(x99693,a831))),f841(f841(x99692,f841(x99693,a831)),f841(x99692,f841(x99693,a831))),x99691),f20(x99692,f841(x99693,a831),f841(x99693,a831))),f327(f327(f10(f841(x99692,f841(x99693,f841(a831,a831))),f841(x99692,f841(f841(x99693,a831),f841(x99693,a831))),x99691),f327(f10(f841(x99693,f841(a831,a831)),f841(f841(x99693,a831),f841(x99693,a831)),x99692),f20(x99693,a831,a831))),f327(f327(f10(f841(x99692,f841(x99693,a831)),f841(x99692,f841(x99693,f841(a831,a831))),x99691),f327(f10(f841(x99693,a831),f841(x99693,f841(a831,a831)),x99692),f327(f10(a831,f841(a831,a831),x99693),a325))),f327(f327(f9(x99691,f841(x99692,f841(x99693,x99691)),f841(x99692,f841(x99693,a831))),f327(f327(f10(f841(f841(x99693,x99691),f841(x99693,a831)),f841(f841(x99692,f841(x99693,x99691)),f841(x99692,f841(x99693,a831))),x99691),f10(f841(x99693,x99691),f841(x99693,a831),x99692)),f327(f327(f10(f841(x99691,a831),f841(f841(x99693,x99691),f841(x99693,a831)),x99691),f10(x99691,a831,x99693)),a324))),f327(f327(f9(x99692,f841(x99693,x99691),f841(x99693,x99691)),f327(f327(f10(f841(x99691,x99691),f841(f841(x99693,x99691),f841(x99693,x99691)),x99692),f10(x99691,x99691,x99693)),f327(f327(f10(x99691,f841(x99691,x99691),x99692),f85(x99691)),x99694))),x99695)))))),f327(f327(f9(x99692,f841(x99693,a831),f841(x99693,a831)),f327(f327(f10(f841(a831,a831),f841(f841(x99693,a831),f841(x99693,a831)),x99692),f10(a831,a831,x99693)),f327(f327(f10(a831,f841(a831,a831),x99692),a325),f327(f327(f9(x99692,f841(x99692,a831),a831),f329(x99692)),x99696)))),f327(f327(f9(x99693,f841(x99693,a831),a831),f329(x99693)),x99697))))))),f327(f327(f85(x99691),f327(f327(f8(x99692,x99691),x99694),x99696)),f327(f327(f8(x99693,x99691),x99695),x99697))) % 153.71/153.55 [9667]P49(x96671,x96672,x96673,x96674,x96675,x96676,x96677)+~P134(f327(f327(x96674,x96676),x96678))+~P134(f327(f327(x96675,x96678),x96677)) % 153.71/153.55 [9067]~P23(x90678,x90671,x90673,x90675)+~P134(f327(f66(x90678),x90676))+E(f327(f77(x90671,x90671,x90672,f327(x90673,x90674)),f327(f77(x90671,x90671,x90672,f327(x90675,x90676)),x90677)),f327(f77(x90671,x90671,x90672,f327(x90675,x90676)),f327(f77(x90671,x90671,x90672,f327(x90673,x90674)),x90677))) % 153.71/153.55 [9430]~P26(x94307,x94302,x94305,x94308,x94306,x94301)+~P134(f327(f66(x94302),x94304))+E(f327(x94301,f327(f327(f297(x94302),x94303),x94304)),f327(f327(x94305,f327(x94306,x94303)),f327(x94301,x94304))) % 153.71/153.55 [9540]~P28(x95402,x95404,x95406,x95408)+~P28(x95401,x95403,x95405,x95407)+P28(f840(x95401,x95402),f840(x95403,x95404),f247(x95401,x95403,x95402,x95404,x95405,x95406),f327(f327(f243(x95401,x95402),x95407),f327(f18(f841(x95402,a831),x95401),x95408))) % 153.71/153.55 [9224]P134(f327(f327(f329(f840(x92241,x92242)),f327(f327(f236(x92241,x92242),x92243),x92244)),f327(f327(f276(x92241,x92245,x92242),x92246),x92247)))+~P134(f327(f327(f329(f840(x92241,x92245)),f327(f327(f236(x92241,x92245),x92243),x92248)),x92246))+~P134(f327(f327(f329(f840(x92245,x92242)),f327(f327(f236(x92245,x92242),x92248),x92244)),x92247)) % 153.71/153.55 [9413]~P134(f327(f327(f227(f841(f840(x94133,x94132),a831)),x94135),f327(f327(f243(x94133,x94132),x94138),f327(f18(f841(x94132,a831),x94133),x94137))))+~P134(f327(f327(f227(f841(f840(x94131,x94133),a831)),x94134),f327(f327(f243(x94131,x94133),x94136),f327(f18(f841(x94133,a831),x94131),x94138))))+P134(f327(f327(f227(f841(f840(x94131,x94132),a831)),f327(f327(f276(x94131,x94133,x94132),x94134),x94135)),f327(f327(f243(x94131,x94132),x94136),f327(f18(f841(x94132,a831),x94131),x94137)))) % 153.71/153.55 [9459]~E(x94593,x94595)+P134(f327(f327(f329(f840(f840(x94591,x94592),f840(x94591,x94592))),f327(f327(f236(f840(x94591,x94592),f840(x94591,x94592)),f327(f327(f236(x94591,x94592),x94593),x94594)),f327(f327(f236(x94591,x94592),x94595),x94596))),f321(x94591,x94592,x94597,x94598)))+~P134(f327(f327(f329(f840(x94592,x94592)),f327(f327(f236(x94592,x94592),x94594),x94596)),x94598)) % 153.71/153.55 [9558]E(x95581,x95582)+~P134(f327(f327(f329(f840(f840(x95583,x95585),f840(x95583,x95585))),f327(f327(f236(f840(x95583,x95585),f840(x95583,x95585)),f327(f327(f236(x95583,x95585),x95581),x95586)),f327(f327(f236(x95583,x95585),x95582),x95587))),f321(x95583,x95585,x95584,x95588)))+P134(f327(f327(f329(f840(x95583,x95583)),f327(f327(f236(x95583,x95583),x95581),x95582)),x95584)) % 153.71/153.55 [9572]~P134(f327(f327(f329(f840(f840(x95721,x95725),f840(x95721,x95725))),f327(f327(f236(f840(x95721,x95725),f840(x95721,x95725)),f327(f327(f236(x95721,x95725),x95722),x95726)),f327(f327(f236(x95721,x95725),x95723),x95727))),f321(x95721,x95725,x95724,x95728)))+P134(f327(f327(f329(f840(x95721,x95721)),f327(f327(f236(x95721,x95721),x95722),x95723)),x95724))+P134(f327(f327(f329(f840(x95725,x95725)),f327(f327(f236(x95725,x95725),x95726),x95727)),x95728)) % 153.71/153.55 [9488]~P27(x94887,x94885,x94881,x94888,x94882,x94884)+~P134(f327(f66(x94885),x94886))+E(f327(f327(x94881,f327(x94882,x94883)),f327(x94884,f327(f327(f3(f841(x94885,a831)),x94886),f327(f327(f297(x94885),x94883),f176(f841(x94885,a831)))))),f327(x94884,f327(f327(f297(x94885),x94883),x94886))) % 153.71/153.55 [9026]~P134(f327(f327(f327(x90265,x90268),x90266),x90267))+~P134(f327(f327(f329(x90261),x90268),x90264))+P134(f327(f327(f327(f327(f47(x90261,f841(x90262,f841(x90263,a831))),x90264),x90265),x90266),x90267)) % 153.71/153.55 [9212]P134(f327(f327(f327(x92121,x92122),x92123),x92124))+~P134(f327(f327(f329(x92125),x92122),x92126))+~P134(f327(f327(f327(f327(f48(x92125,f841(x92127,f841(x92128,a831))),x92126),x92121),x92123),x92124)) % 153.71/153.55 [9404]~P25(x94043,x94042,x94044,x94048,x94041)+~P134(f327(f66(x94042),x94047))+E(f327(f327(x94041,f327(f327(f20(x94042,x94043,x94043),f327(f327(f10(x94043,f841(x94043,x94043),x94042),x94044),x94045)),x94046)),x94047),f327(f327(x94044,f327(f327(x94041,x94045),x94047)),f327(f327(x94041,x94046),x94047))) % 153.71/153.55 [9646]~E(f327(f298(x96462,x96464,x96466),x96468),x964610)+~E(f327(f298(x96461,x96463,x96465),x96467),x96469)+E(f327(f298(f840(x96461,x96462),f840(x96463,x96464),f247(x96461,x96463,x96462,x96464,x96465,x96466)),f327(f327(f243(x96461,x96462),x96467),f327(f18(f841(x96462,a831),x96461),x96468))),f327(f327(f243(x96463,x96464),x96469),f327(f18(f841(x96464,a831),x96463),x964610))) % 153.71/153.55 [4677]~P97(x46772)+~P18(x46772,x46771)+P18(x46772,f113(x46772,x46771))+E(x46771,f112(x46772)) % 153.71/153.55 [4917]~P9(x49172)+E(f12(x49172,x49171),f46(x49172,x49171))+E(x49171,f176(f841(x49172,a831)))+~P134(f327(f66(x49172),x49171)) % 153.71/153.55 [4918]~P9(x49182)+E(f15(x49182,x49181),f45(x49182,x49181))+E(x49181,f176(f841(x49182,a831)))+~P134(f327(f66(x49182),x49181)) % 153.71/153.55 [5886]~P89(x58862)+E(x58861,f176(f841(x58862,a831)))+P134(f327(f327(f227(x58862),f12(x58862,x58861)),f15(x58862,x58861)))+~P134(f327(f66(x58862),x58861)) % 153.71/153.55 [5897]~P35(x58972)+~P35(x58971)+E(x58971,x58972)+~E(f327(f298(a1,a834,a104),x58971),f327(f298(a1,a834,a104),x58972)) % 153.71/153.55 [8890]~P107(x88901)+~P134(f327(f327(f329(x88901),x88902),f109(x88901)))+P134(f327(f327(f228(x88901),f327(f327(f84(x88901),f327(f327(f84(x88901),f82(x88901)),x88902)),x88902)),f2(x88901)))+~P134(f327(f327(f228(x88901),x88902),f2(x88901))) % 153.71/153.55 [9109]~P107(x91091)+~P134(f327(f327(f329(x91091),x91092),f109(x91091)))+~P134(f327(f327(f228(x91091),f327(f327(f84(x91091),f327(f327(f84(x91091),f82(x91091)),x91092)),x91092)),f2(x91091)))+P134(f327(f327(f228(x91091),x91092),f2(x91091))) % 153.71/153.55 [4734]~P102(x47342)+~P133(x47342)+E(x47341,f2(a834))+E(f327(f327(f237(x47342),f2(x47342)),x47341),f2(x47342)) % 153.71/153.55 [4737]~P102(x47371)+~P133(x47371)+~E(x47372,f2(a834))+E(f327(f327(f237(x47371),f2(x47371)),x47372),f82(x47371)) % 153.71/153.55 [4904]~P129(x49042)+E(x49041,f82(x49042))+E(x49041,f327(f83(x49042),f82(x49042)))+~E(f327(f327(f85(x49042),x49041),x49041),f82(x49042)) % 153.71/153.55 [5147]~P79(x51472)+E(x51471,f2(x51472))+E(f86(x51472,x51471),f327(f83(x51472),f82(x51472)))+P134(f327(f327(f228(x51472),f2(x51472)),x51471)) % 153.71/153.55 [5381]~P79(x53812)+E(f86(x53812,x53811),f82(x53812))+E(x53811,f2(x53812))+~P134(f327(f327(f228(x53812),f2(x53812)),x53811)) % 153.71/153.55 [5390]E(x53901,x53902)+~E(f327(f103(a834),x53901),f327(f103(a834),x53902))+P134(f327(a182,f327(f103(a1),x53902)))+P134(f327(a182,f327(f103(a1),x53901))) % 153.71/153.55 [5439]~P84(x54391)+~E(x54392,f2(x54391))+E(f327(f327(f84(x54391),x54392),x54392),f2(x54391))+~P134(f327(f327(f329(x54391),x54392),f109(x54391))) % 153.71/153.55 [5478]E(x54781,f2(a1))+~E(f327(f327(f44(a1),x54782),x54781),f2(a1))+P134(f327(f327(f228(a1),x54781),x54782))+P134(f327(f327(f228(a1),x54782),x54781)) % 153.71/153.55 [5508]E(x55081,f2(a1))+~E(f327(f327(f44(a1),x55082),x55081),f2(a1))+P134(f327(f327(f227(a1),x55082),f2(a1)))+P134(f327(f327(f228(a1),x55082),x55081)) % 153.71/153.55 [5544]E(x55441,f2(a1))+~E(f327(f327(f44(a1),x55442),x55441),f2(a1))+P134(f327(f327(f227(a1),f2(a1)),x55442))+P134(f327(f327(f228(a1),x55441),x55442)) % 153.71/153.55 [5582]~P84(x55822)+E(x55821,f2(x55822))+~E(f327(f327(f84(x55822),x55821),x55821),f2(x55822))+~P134(f327(f327(f329(x55822),x55821),f109(x55822))) % 153.71/153.55 [5653]E(f327(f103(a834),x56531),f327(f103(a834),x56532))+~E(f327(f103(a1),x56532),f2(a1))+P134(f327(a182,f327(f103(a1),x56532)))+~P134(f327(a182,f327(f103(a1),x56531))) % 153.71/153.55 [5684]~E(f327(f103(a834),x56842),f327(f103(a834),x56841))+E(f327(f103(a1),x56841),f2(a1))+P134(f327(a182,f327(f103(a1),x56841)))+~P134(f327(a182,f327(f103(a1),x56842))) % 153.71/153.55 [5693]~P97(x56932)+E(x56931,f176(f841(x56932,a831)))+~P134(f327(f66(x56932),x56931))+P134(f327(f327(f329(x56932),f16(x56932,x56931)),x56931)) % 153.71/153.55 [5694]~P97(x56942)+E(x56941,f176(f841(x56942,a831)))+~P134(f327(f66(x56942),x56941))+P134(f327(f327(f329(x56942),f17(x56942,x56941)),x56941)) % 153.71/153.55 [5862]~P107(x58621)+~P85(x58621)+P134(f327(f327(f228(x58621),f2(x58621)),f327(f103(x58621),x58622)))+~P134(f327(f327(f228(a1),a87),x58622)) % 153.71/153.55 [5863]~P107(x58631)+~P85(x58631)+P134(f327(f327(f227(x58631),f2(x58631)),f327(f103(x58631),x58632)))+~P134(f327(f327(f227(a1),a87),x58632)) % 153.71/153.55 [5885]~P107(x58851)+~P85(x58851)+E(f327(f79(x58851),f327(f103(x58851),x58852)),f327(f103(x58851),x58852))+P134(f327(f327(f228(x58851),f327(f103(x58851),x58852)),f2(x58851))) % 153.71/153.55 [5924]E(x59241,x59242)+~E(f327(a104,x59241),f327(a104,x59242))+~P134(f327(f327(f227(a1),f2(a1)),x59242))+~P134(f327(f327(f227(a1),f2(a1)),x59241)) % 153.71/153.55 [6124]~P85(x61242)+~P107(x61242)+~P134(f327(f327(f228(x61242),f2(x61242)),f327(f103(x61242),x61241)))+P134(f327(f327(f228(a1),a87),x61241)) % 153.71/153.55 [6125]~P85(x61252)+~P107(x61252)+~P134(f327(f327(f227(x61252),f2(x61252)),f327(f103(x61252),x61251)))+P134(f327(f327(f227(a1),a87),x61251)) % 153.71/153.55 [6130]~P107(x61301)+~P85(x61301)+P134(f327(f327(f228(x61301),f327(f103(x61301),x61302)),f2(x61301)))+~P134(f327(f327(f228(a1),x61302),a87)) % 153.71/153.55 [6131]~P107(x61311)+~P85(x61311)+P134(f327(f327(f227(x61311),f327(f103(x61311),x61312)),f2(x61311)))+~P134(f327(f327(f227(a1),x61312),a87)) % 153.71/153.55 [6457]~P85(x64572)+~P107(x64572)+~P134(f327(f327(f228(x64572),f327(f103(x64572),x64571)),f2(x64572)))+P134(f327(f327(f228(a1),x64571),a87)) % 153.71/153.55 [6458]~P85(x64582)+~P107(x64582)+~P134(f327(f327(f227(x64582),f327(f103(x64582),x64581)),f2(x64582)))+P134(f327(f327(f227(a1),x64581),a87)) % 153.71/153.55 [6549]~P107(x65491)+~P85(x65491)+E(f327(f79(x65491),f327(f103(x65491),x65492)),f327(f83(x65491),f327(f103(x65491),x65492)))+~P134(f327(f327(f228(x65491),f327(f103(x65491),x65492)),f2(x65491))) % 153.71/153.55 [6566]E(f327(f103(a834),x65661),f327(f103(a834),x65662))+~E(f327(f103(a1),x65662),f2(a1))+~P134(f327(f327(f227(a1),f327(f103(a1),x65661)),f2(a1)))+~P134(f327(a182,f327(f103(a1),x65661))) % 153.71/153.55 [6980]P134(f327(f327(f274(a834),f327(a104,x69801)),f327(a104,x69802)))+~P134(f327(f327(f227(a1),f2(a1)),x69802))+~P134(f327(f327(f227(a1),f2(a1)),x69801))+~P134(f327(f327(f274(a1),x69801),x69802)) % 153.71/153.55 [7227]~P134(f327(f327(f274(a834),f327(a104,x72271)),f327(a104,x72272)))+~P134(f327(f327(f227(a1),f2(a1)),x72272))+~P134(f327(f327(f227(a1),f2(a1)),x72271))+P134(f327(f327(f274(a1),x72271),x72272)) % 153.71/153.55 [7486]~P97(x74862)+E(x74861,f176(f841(x74862,a831)))+~P134(f327(f66(x74862),x74861))+P134(f327(f327(f227(x74862),f14(x74862,f231(x74862),x74861)),f13(x74862,f175(x74862),x74861))) % 153.71/153.55 [7809]~P10(x78091)+~P35(x78092)+P134(f327(f327(f329(a1),x78091),x78092))+~P134(f327(f327(f329(a834),f327(a104,x78091)),f327(f298(a1,a834,a104),x78092))) % 153.71/153.55 [5690]~P130(x56902)+E(x56901,f2(a1))+E(f327(f83(x56902),f327(f102(x56902),f327(f83(a1),x56901))),f327(f102(x56902),x56901))+~P134(f327(f327(f228(a1),x56901),f2(a1))) % 153.71/153.55 [5767]~P84(x57671)+~P85(x57671)+~P30(x57671,f327(f103(x57671),x57672))+P30(x57671,f327(f103(x57671),f327(f327(f84(a1),x57672),x57672))) % 153.71/153.55 [6114]~P66(x61142)+E(x61141,f176(f841(x61142,a831)))+E(f17(x61142,f327(f298(x61142,x61142,f83(x61142)),x61141)),f327(f83(x61142),f16(x61142,x61141)))+~P134(f327(f66(x61142),x61141)) % 153.71/153.55 [6115]~P66(x61152)+E(x61151,f176(f841(x61152,a831)))+E(f16(x61152,f327(f298(x61152,x61152,f83(x61152)),x61151)),f327(f83(x61152),f17(x61152,x61151)))+~P134(f327(f66(x61152),x61151)) % 153.71/153.55 [6145]~P84(x61451)+~P85(x61451)+P30(x61451,f327(f103(x61451),x61452))+~P30(x61451,f327(f103(x61451),f327(f327(f84(a1),x61452),x61452))) % 153.71/153.55 [6242]E(x62421,f2(a1))+E(f327(a59,f58(f327(f83(a1),x62421),f327(f83(a1),x62422))),f54(x62421,x62422))+P134(f327(f327(f227(a1),f2(a1)),x62422))+~P134(f327(f327(f227(a1),f2(a1)),x62421)) % 153.71/153.55 [8544]~P35(x85442)+~P35(x85441)+P134(f327(f327(f228(f841(a834,a831)),f327(f298(a1,a834,a104),x85441)),f327(f298(a1,a834,a104),x85442)))+~P134(f327(f327(f228(f841(a1,a831)),x85441),x85442)) % 153.71/153.55 [8816]~P35(x88162)+~P35(x88161)+~P134(f327(f327(f228(f841(a834,a831)),f327(f298(a1,a834,a104),x88161)),f327(f298(a1,a834,a104),x88162)))+P134(f327(f327(f228(f841(a1,a831)),x88161),x88162)) % 153.71/153.55 [8817]~P35(x88172)+~P35(x88171)+~P134(f327(f327(f227(f841(a834,a831)),f327(f298(a1,a834,a104),x88171)),f327(f298(a1,a834,a104),x88172)))+P134(f327(f327(f227(f841(a1,a831)),x88171),x88172)) % 153.71/153.55 [9252]E(x92521,f2(a1))+E(x92522,f2(a1))+E(f327(f327(f90(a1,f840(a1,a1)),f327(f327(a207,x92522),x92521)),f327(f327(f20(a1,a1,f840(a1,a1)),f327(f327(f10(a1,f841(a1,f840(a1,a1)),a1),f236(a1,a1)),f327(f44(a1),x92522))),f327(f44(a1),x92521))),f205(x92522,x92521))+P134(f327(f327(f228(a1),x92521),f2(a1))) % 153.71/153.55 [8123]~P85(x81232)+~P107(x81232)+~P134(f327(f327(f228(x81232),f327(f103(x81232),x81231)),f82(x81232)))+P134(f327(f327(f228(a1),x81231),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))) % 153.71/153.55 [8124]~P85(x81242)+~P107(x81242)+~P134(f327(f327(f227(x81242),f327(f103(x81242),x81241)),f82(x81242)))+P134(f327(f327(f227(a1),x81241),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))) % 153.71/153.55 [8384]~P107(x83841)+~P85(x83841)+P134(f327(f327(f228(x83841),f327(f103(x83841),x83842)),f82(x83841)))+~P134(f327(f327(f228(a1),x83842),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))) % 153.71/153.55 [8385]~P107(x83851)+~P85(x83851)+P134(f327(f327(f227(x83851),f327(f103(x83851),x83852)),f82(x83851)))+~P134(f327(f327(f227(a1),x83852),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))) % 153.71/153.55 [8569]~P85(x85692)+~P107(x85692)+~P134(f327(f327(f228(x85692),f82(x85692)),f327(f103(x85692),x85691)))+P134(f327(f327(f228(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),x85691)) % 153.71/153.55 [8570]~P85(x85702)+~P107(x85702)+~P134(f327(f327(f227(x85702),f82(x85702)),f327(f103(x85702),x85701)))+P134(f327(f327(f227(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),x85701)) % 153.71/153.55 [8897]~P107(x88971)+~P85(x88971)+P134(f327(f327(f228(x88971),f82(x88971)),f327(f103(x88971),x88972)))+~P134(f327(f327(f228(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),x88972)) % 153.71/153.55 [8898]~P107(x88981)+~P85(x88981)+P134(f327(f327(f227(x88981),f82(x88981)),f327(f103(x88981),x88982)))+~P134(f327(f327(f227(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),x88982)) % 153.71/153.55 [9374]~P129(x93742)+E(x93741,f82(x93742))+E(x93741,f327(f83(x93742),f82(x93742)))+~E(f327(f327(f237(x93742),x93741),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f82(x93742)) % 153.71/153.55 [9622]~P60(x96221)+~P85(x96221)+~P134(f327(f327(f228(x96221),f2(x96221)),x96222))+P134(f327(f327(f228(x96221),f2(x96221)),f327(f327(f278(x96221),x96222),f327(f103(x96221),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))) % 153.71/153.55 [9676]~P60(x96761)+~P85(x96761)+P134(f327(f327(f228(x96761),f2(x96761)),x96762))+~P134(f327(f327(f228(x96761),f2(x96761)),f327(f327(f278(x96761),x96762),f327(f103(x96761),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))) % 153.71/153.55 [9946]~P130(x99462)+E(x99461,f2(a1))+P134(f327(f327(f228(a1),x99461),f2(a1)))+E(f327(f327(f246(a1,a1,x99462),f327(f327(f9(a1,f841(a1,f841(x99462,x99462)),f841(a1,x99462)),f327(f327(f10(f841(f841(x99462,x99462),x99462),f841(f841(a1,f841(x99462,x99462)),f841(a1,x99462)),a1),f10(f841(x99462,x99462),x99462,a1)),f327(f327(f10(x99462,f841(f841(x99462,x99462),x99462),a1),f90(x99462,x99462)),f102(x99462)))),f327(f327(f9(a1,f841(x99462,x99462),f841(x99462,x99462)),f327(f327(f10(f841(x99462,f841(x99462,x99462)),f841(f841(x99462,x99462),f841(x99462,x99462)),a1),f20(x99462,x99462,x99462)),f327(f327(f9(a1,f841(x99462,x99462),f841(x99462,f841(x99462,x99462))),f327(f327(f10(f841(x99462,f841(x99462,x99462)),f841(f841(x99462,x99462),f841(x99462,f841(x99462,x99462))),a1),f10(x99462,f841(x99462,x99462),x99462)),f327(f327(f10(a831,f841(x99462,f841(x99462,x99462)),a1),f95(x99462)),f327(f327(f9(a1,a1,a831),a324),f2(a1))))),f327(f327(f20(x99462,x99462,x99462),f84(x99462)),f7(x99462))))),f327(f327(f9(x99462,x99462,x99462),f327(f327(f10(x99462,f841(x99462,x99462),x99462),f84(x99462)),f327(f327(f20(x99462,x99462,x99462),f84(x99462)),f7(x99462)))),f82(x99462))))),f54(x99461,f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f102(x99462),x99461)) % 153.71/153.55 [4703]~P84(x47033)+~P85(x47033)+E(x47031,x47032)+~E(f327(f103(x47033),x47031),f327(f103(x47033),x47032)) % 153.71/153.55 [5872]~P134(f327(x58721,x58722))+~P134(f327(x58721,x58723))+~P134(f327(f327(f227(a834),x58723),f721(x58722,x58721)))+P134(f327(x58721,f2(a834))) % 153.71/153.55 [6307]P138(x63072,x63071,x63073)+E(x63071,f2(a1))+P134(f327(f327(f227(a1),f2(a1)),f768(x63073,x63071,x63072)))+P134(f327(f327(f228(a1),x63071),f2(a1))) % 153.71/153.55 [6308]P139(x63082,x63081,x63083)+E(x63081,f2(a1))+P134(f327(f327(f227(a1),f2(a1)),f771(x63083,x63081,x63082)))+P134(f327(f327(f228(a1),x63081),f2(a1))) % 153.71/153.55 [6437]P138(x64371,x64372,x64373)+~P134(f327(x64371,x64373))+P134(f327(f327(f227(a1),f2(a1)),f768(x64373,x64372,x64371)))+P134(f327(f327(f228(a1),x64372),f2(a1))) % 153.71/153.55 [6460]P139(x64601,x64602,x64603)+P134(f327(f327(f227(a1),f2(a1)),f771(x64603,x64602,x64601)))+~P134(f327(x64601,f2(a1)))+P134(f327(f327(f228(a1),x64602),f2(a1))) % 153.71/153.55 [6493]P138(x64932,x64931,x64933)+E(x64931,f2(a1))+~P134(f327(x64932,f768(x64933,x64931,x64932)))+P134(f327(f327(f228(a1),x64931),f2(a1))) % 153.71/153.55 [6494]P139(x64942,x64941,x64943)+E(x64941,f2(a1))+~P134(f327(x64942,f772(x64943,x64941,x64942)))+P134(f327(f327(f228(a1),x64941),f2(a1))) % 153.71/153.55 [6597]~P97(x65971)+~P9(x65971)+~P134(f327(f327(f228(x65971),x65972),f45(x65971,x65973)))+P134(f327(f327(f228(x65971),x65972),f639(x65973,x65972,x65971))) % 153.71/153.55 [6607]P138(x66071,x66072,x66073)+~P134(f327(x66071,x66073))+~P134(f327(x66071,f768(x66073,x66072,x66071)))+P134(f327(f327(f228(a1),x66072),f2(a1))) % 153.71/153.55 [6639]P139(x66391,x66392,x66393)+~P134(f327(x66391,f772(x66393,x66392,x66391)))+~P134(f327(x66391,f2(a1)))+P134(f327(f327(f228(a1),x66392),f2(a1))) % 153.71/153.55 [6901]P138(x69012,x69011,x69013)+E(x69011,f2(a1))+P134(f327(f327(f227(a1),f2(a1)),f768(x69013,x69011,x69012)))+P134(f327(f327(f228(a1),x69011),f767(x69013,x69011,x69012))) % 153.71/153.55 [6902]P139(x69022,x69021,x69023)+E(x69021,f2(a1))+P134(f327(f327(f227(a1),f2(a1)),f771(x69023,x69021,x69022)))+P134(f327(f327(f228(a1),x69021),f775(x69023,x69021,x69022))) % 153.71/153.55 [7023]P138(x70231,x70232,x70233)+~P134(f327(x70231,x70233))+P134(f327(f327(f227(a1),f2(a1)),f768(x70233,x70232,x70231)))+P134(f327(f327(f228(a1),x70232),f767(x70233,x70232,x70231))) % 153.71/153.55 [7044]P139(x70441,x70442,x70443)+P134(f327(f327(f227(a1),f2(a1)),f771(x70443,x70442,x70441)))+P134(f327(f327(f228(a1),x70442),f775(x70443,x70442,x70441)))+~P134(f327(x70441,f2(a1))) % 153.71/153.55 [7075]P138(x70752,x70751,x70753)+E(x70751,f2(a1))+~P134(f327(x70752,f768(x70753,x70751,x70752)))+P134(f327(f327(f228(a1),x70751),f767(x70753,x70751,x70752))) % 153.71/153.55 [7076]P139(x70762,x70761,x70763)+E(x70761,f2(a1))+~P134(f327(x70762,f772(x70763,x70761,x70762)))+P134(f327(f327(f228(a1),x70761),f775(x70763,x70761,x70762))) % 153.71/153.55 [7117]P138(x71172,x71171,x71173)+E(x71171,f2(a1))+P134(f327(f327(f227(a1),f2(a1)),f768(x71173,x71171,x71172)))+~P134(f327(x71172,f767(x71173,x71171,x71172))) % 153.71/153.55 [7118]P139(x71182,x71181,x71183)+E(x71181,f2(a1))+P134(f327(f327(f227(a1),f2(a1)),f771(x71183,x71181,x71182)))+~P134(f327(x71182,f773(x71183,x71181,x71182))) % 153.71/153.55 [7224]P138(x72241,x72242,x72243)+~P134(f327(x72241,x72243))+~P134(f327(x72241,f768(x72243,x72242,x72241)))+P134(f327(f327(f228(a1),x72242),f767(x72243,x72242,x72241))) % 153.71/153.55 [7240]P139(x72401,x72402,x72403)+~P134(f327(x72401,f772(x72403,x72402,x72401)))+P134(f327(f327(f228(a1),x72402),f775(x72403,x72402,x72401)))+~P134(f327(x72401,f2(a1))) % 153.71/153.55 [7244]P138(x72441,x72442,x72443)+~P134(f327(x72441,x72443))+P134(f327(f327(f227(a1),f2(a1)),f768(x72443,x72442,x72441)))+~P134(f327(x72441,f767(x72443,x72442,x72441))) % 153.71/153.55 [7262]P139(x72621,x72622,x72623)+P134(f327(f327(f227(a1),f2(a1)),f771(x72623,x72622,x72621)))+~P134(f327(x72621,f773(x72623,x72622,x72621)))+~P134(f327(x72621,f2(a1))) % 153.71/153.55 [7286]P138(x72862,x72861,x72863)+E(x72861,f2(a1))+~P134(f327(x72862,f768(x72863,x72861,x72862)))+~P134(f327(x72862,f767(x72863,x72861,x72862))) % 153.71/153.55 [7287]P139(x72872,x72871,x72873)+E(x72871,f2(a1))+~P134(f327(x72872,f772(x72873,x72871,x72872)))+~P134(f327(x72872,f773(x72873,x72871,x72872))) % 153.71/153.55 [7381]P138(x73811,x73812,x73813)+~P134(f327(x73811,x73813))+~P134(f327(x73811,f768(x73813,x73812,x73811)))+~P134(f327(x73811,f767(x73813,x73812,x73811))) % 153.71/153.55 [7396]P139(x73961,x73962,x73963)+~P134(f327(x73961,f772(x73963,x73962,x73961)))+~P134(f327(x73961,f773(x73963,x73962,x73961)))+~P134(f327(x73961,f2(a1))) % 153.71/153.55 [7446]P138(x74462,x74461,x74463)+E(x74461,f2(a1))+P134(f327(f327(f227(a1),f2(a1)),f768(x74463,x74461,x74462)))+P134(f327(f327(f227(a1),f767(x74463,x74461,x74462)),f2(a1))) % 153.71/153.55 [7447]P139(x74472,x74471,x74473)+E(x74471,f2(a1))+P134(f327(f327(f227(a1),f2(a1)),f771(x74473,x74471,x74472)))+P134(f327(f327(f227(a1),f775(x74473,x74471,x74472)),f2(a1))) % 153.71/153.55 [7448]~P78(x74481)+~P134(f327(f327(f228(x74481),x74483),f2(x74481)))+~P134(f327(f327(f228(x74481),x74482),f2(x74481)))+P134(f327(f327(f228(x74481),f327(f327(f84(x74481),x74482),x74483)),f2(x74481))) % 153.71/153.55 [7449]~P78(x74491)+~P134(f327(f327(f227(x74491),x74492),f2(x74491)))+~P134(f327(f327(f228(x74491),x74493),f2(x74491)))+P134(f327(f327(f228(x74491),f327(f327(f84(x74491),x74492),x74493)),f2(x74491))) % 153.71/153.55 [7450]~P78(x74501)+~P134(f327(f327(f227(x74501),x74503),f2(x74501)))+~P134(f327(f327(f228(x74501),x74502),f2(x74501)))+P134(f327(f327(f228(x74501),f327(f327(f84(x74501),x74502),x74503)),f2(x74501))) % 153.71/153.55 [7451]~P78(x74511)+~P134(f327(f327(f227(x74511),x74513),f2(x74511)))+~P134(f327(f327(f227(x74511),x74512),f2(x74511)))+P134(f327(f327(f227(x74511),f327(f327(f84(x74511),x74512),x74513)),f2(x74511))) % 153.71/153.55 [7452]~P1(x74521)+~P134(f327(f327(f329(x74521),x74523),f172(x74521)))+~P134(f327(f327(f329(x74521),x74522),f172(x74521)))+P134(f327(f327(f329(x74521),f327(f327(f84(x74521),x74522),x74523)),f172(x74521))) % 153.71/153.55 [7453]~P130(x74531)+~P134(f327(f327(f329(x74531),x74533),f109(x74531)))+~P134(f327(f327(f329(x74531),x74532),f109(x74531)))+P134(f327(f327(f329(x74531),f327(f327(f84(x74531),x74532),x74533)),f109(x74531))) % 153.71/153.55 [7454]~P1(x74541)+~P134(f327(f327(f329(x74541),x74543),f172(x74541)))+~P134(f327(f327(f329(x74541),x74542),f172(x74541)))+P134(f327(f327(f329(x74541),f327(f327(f85(x74541),x74542),x74543)),f172(x74541))) % 153.71/153.55 [7455]~P130(x74551)+~P134(f327(f327(f329(x74551),x74553),f109(x74551)))+~P134(f327(f327(f329(x74551),x74552),f109(x74551)))+P134(f327(f327(f329(x74551),f327(f327(f85(x74551),x74552),x74553)),f109(x74551))) % 153.71/153.55 [7456]~P130(x74561)+~P134(f327(f327(f329(x74561),x74563),f109(x74561)))+~P134(f327(f327(f329(x74561),x74562),f109(x74561)))+P134(f327(f327(f329(x74561),f327(f327(f3(x74561),x74562),x74563)),f109(x74561))) % 153.71/153.55 [7482]P138(x74823,x74821,x74822)+E(x74821,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x74821),f769(x74822,x74821,x74823))),f768(x74822,x74821,x74823)),x74822)+P134(f327(f327(f228(a1),x74821),f2(a1))) % 153.71/153.55 [7483]P139(x74833,x74831,x74832)+E(x74831,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x74831),f772(x74832,x74831,x74833))),f771(x74832,x74831,x74833)),x74832)+P134(f327(f327(f228(a1),x74831),f2(a1))) % 153.71/153.55 [7567]P138(x75671,x75672,x75673)+~P134(f327(x75671,x75673))+P134(f327(f327(f227(a1),f2(a1)),f768(x75673,x75672,x75671)))+P134(f327(f327(f227(a1),f767(x75673,x75672,x75671)),f2(a1))) % 153.71/153.55 [7598]P139(x75981,x75982,x75983)+P134(f327(f327(f227(a1),f2(a1)),f771(x75983,x75982,x75981)))+~P134(f327(x75981,f2(a1)))+P134(f327(f327(f227(a1),f775(x75983,x75982,x75981)),f2(a1))) % 153.71/153.55 [7606]P138(x76063,x76061,x76062)+~P134(f327(x76063,x76062))+E(f327(f327(f84(a1),f327(f327(f85(a1),x76061),f769(x76062,x76061,x76063))),f768(x76062,x76061,x76063)),x76062)+P134(f327(f327(f228(a1),x76061),f2(a1))) % 153.71/153.55 [7611]P138(x76112,x76111,x76113)+E(x76111,f2(a1))+~P134(f327(x76112,f768(x76113,x76111,x76112)))+P134(f327(f327(f227(a1),f767(x76113,x76111,x76112)),f2(a1))) % 153.71/153.55 [7612]P139(x76122,x76121,x76123)+E(x76121,f2(a1))+~P134(f327(x76122,f772(x76123,x76121,x76122)))+P134(f327(f327(f227(a1),f775(x76123,x76121,x76122)),f2(a1))) % 153.71/153.55 [7617]P139(x76173,x76171,x76172)+E(f327(f327(f84(a1),f327(f327(f85(a1),x76171),f772(x76172,x76171,x76173))),f771(x76172,x76171,x76173)),x76172)+~P134(f327(x76173,f2(a1)))+P134(f327(f327(f228(a1),x76171),f2(a1))) % 153.71/153.55 [7671]P138(x76711,x76712,x76713)+~P134(f327(x76711,x76713))+~P134(f327(x76711,f768(x76713,x76712,x76711)))+P134(f327(f327(f227(a1),f767(x76713,x76712,x76711)),f2(a1))) % 153.71/153.55 [7676]P139(x76761,x76762,x76763)+~P134(f327(x76761,f772(x76763,x76762,x76761)))+~P134(f327(x76761,f2(a1)))+P134(f327(f327(f227(a1),f775(x76763,x76762,x76761)),f2(a1))) % 153.71/153.55 [7747]~P60(x77471)+~P134(f327(f327(f228(x77471),f327(f327(f278(x77471),x77473),x77472)),f2(x77471)))+P134(f327(f327(f228(x77471),x77472),f2(x77471)))+P134(f327(f327(f228(x77471),x77473),f2(x77471))) % 153.71/153.55 [7748]~P115(x77481)+~P134(f327(f327(f227(x77481),f327(f327(f85(x77481),x77483),x77482)),f2(x77481)))+P134(f327(f327(f227(x77481),x77482),f2(x77481)))+P134(f327(f327(f227(x77481),x77483),f2(x77481))) % 153.71/153.55 [7749]~P60(x77491)+~P134(f327(f327(f227(x77491),f327(f327(f278(x77491),x77493),x77492)),f2(x77491)))+P134(f327(f327(f227(x77491),x77492),f2(x77491)))+P134(f327(f327(f227(x77491),x77493),f2(x77491))) % 153.71/153.55 [7862]P138(x78623,x78621,x78622)+E(x78621,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x78621),f769(x78622,x78621,x78623))),f768(x78622,x78621,x78623)),x78622)+P134(f327(f327(f228(a1),x78621),f767(x78622,x78621,x78623))) % 153.71/153.55 [7863]P139(x78633,x78631,x78632)+E(x78631,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x78631),f772(x78632,x78631,x78633))),f771(x78632,x78631,x78633)),x78632)+P134(f327(f327(f228(a1),x78631),f775(x78632,x78631,x78633))) % 153.71/153.55 [7874]P138(x78743,x78741,x78742)+E(x78741,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x78741),f770(x78742,x78741,x78743))),f767(x78742,x78741,x78743)),x78742)+P134(f327(f327(f227(a1),f2(a1)),f768(x78742,x78741,x78743))) % 153.71/153.55 [7875]P139(x78753,x78751,x78752)+E(x78751,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x78751),f773(x78752,x78751,x78753))),f775(x78752,x78751,x78753)),x78752)+P134(f327(f327(f227(a1),f2(a1)),f771(x78752,x78751,x78753))) % 153.71/153.55 [7919]P138(x79193,x79191,x79192)+~P134(f327(x79193,x79192))+E(f327(f327(f84(a1),f327(f327(f85(a1),x79191),f769(x79192,x79191,x79193))),f768(x79192,x79191,x79193)),x79192)+P134(f327(f327(f228(a1),x79191),f767(x79192,x79191,x79193))) % 153.71/153.55 [7927]P139(x79273,x79271,x79272)+E(f327(f327(f84(a1),f327(f327(f85(a1),x79271),f772(x79272,x79271,x79273))),f771(x79272,x79271,x79273)),x79272)+P134(f327(f327(f228(a1),x79271),f775(x79272,x79271,x79273)))+~P134(f327(x79273,f2(a1))) % 153.71/153.55 [7933]P138(x79333,x79331,x79332)+~P134(f327(x79333,x79332))+E(f327(f327(f84(a1),f327(f327(f85(a1),x79331),f770(x79332,x79331,x79333))),f767(x79332,x79331,x79333)),x79332)+P134(f327(f327(f227(a1),f2(a1)),f768(x79332,x79331,x79333))) % 153.71/153.55 [7938]P139(x79383,x79381,x79382)+E(f327(f327(f84(a1),f327(f327(f85(a1),x79381),f773(x79382,x79381,x79383))),f775(x79382,x79381,x79383)),x79382)+P134(f327(f327(f227(a1),f2(a1)),f771(x79382,x79381,x79383)))+~P134(f327(x79383,f2(a1))) % 153.71/153.55 [7948]P138(x79483,x79481,x79482)+E(x79481,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x79481),f769(x79482,x79481,x79483))),f768(x79482,x79481,x79483)),x79482)+~P134(f327(x79483,f767(x79482,x79481,x79483))) % 153.71/153.55 [7949]P139(x79493,x79491,x79492)+E(x79491,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x79491),f772(x79492,x79491,x79493))),f771(x79492,x79491,x79493)),x79492)+~P134(f327(x79493,f773(x79492,x79491,x79493))) % 153.71/153.55 [7950]P138(x79503,x79501,x79502)+E(x79501,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x79501),f770(x79502,x79501,x79503))),f767(x79502,x79501,x79503)),x79502)+~P134(f327(x79503,f768(x79502,x79501,x79503))) % 153.71/153.55 [7951]P139(x79513,x79511,x79512)+E(x79511,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x79511),f773(x79512,x79511,x79513))),f775(x79512,x79511,x79513)),x79512)+~P134(f327(x79513,f772(x79512,x79511,x79513))) % 153.71/153.55 [8003]P138(x80033,x80031,x80032)+~P134(f327(x80033,x80032))+E(f327(f327(f84(a1),f327(f327(f85(a1),x80031),f769(x80032,x80031,x80033))),f768(x80032,x80031,x80033)),x80032)+~P134(f327(x80033,f767(x80032,x80031,x80033))) % 153.71/153.55 [8004]P138(x80043,x80041,x80042)+~P134(f327(x80043,x80042))+E(f327(f327(f84(a1),f327(f327(f85(a1),x80041),f770(x80042,x80041,x80043))),f767(x80042,x80041,x80043)),x80042)+~P134(f327(x80043,f768(x80042,x80041,x80043))) % 153.71/153.55 [8017]P139(x80173,x80171,x80172)+E(f327(f327(f84(a1),f327(f327(f85(a1),x80171),f772(x80172,x80171,x80173))),f771(x80172,x80171,x80173)),x80172)+~P134(f327(x80173,f773(x80172,x80171,x80173)))+~P134(f327(x80173,f2(a1))) % 153.71/153.55 [8018]P139(x80183,x80181,x80182)+E(f327(f327(f84(a1),f327(f327(f85(a1),x80181),f773(x80182,x80181,x80183))),f775(x80182,x80181,x80183)),x80182)+~P134(f327(x80183,f772(x80182,x80181,x80183)))+~P134(f327(x80183,f2(a1))) % 153.71/153.55 [8116]P138(x81163,x81161,x81162)+E(x81161,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x81161),f769(x81162,x81161,x81163))),f768(x81162,x81161,x81163)),x81162)+P134(f327(f327(f227(a1),f767(x81162,x81161,x81163)),f2(a1))) % 153.71/153.55 [8117]P139(x81173,x81171,x81172)+E(x81171,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x81171),f772(x81172,x81171,x81173))),f771(x81172,x81171,x81173)),x81172)+P134(f327(f327(f227(a1),f775(x81172,x81171,x81173)),f2(a1))) % 153.71/153.55 [8156]P138(x81563,x81561,x81562)+~P134(f327(x81563,x81562))+E(f327(f327(f84(a1),f327(f327(f85(a1),x81561),f769(x81562,x81561,x81563))),f768(x81562,x81561,x81563)),x81562)+P134(f327(f327(f227(a1),f767(x81562,x81561,x81563)),f2(a1))) % 153.71/153.55 [8162]P139(x81623,x81621,x81622)+E(f327(f327(f84(a1),f327(f327(f85(a1),x81621),f772(x81622,x81621,x81623))),f771(x81622,x81621,x81623)),x81622)+~P134(f327(x81623,f2(a1)))+P134(f327(f327(f227(a1),f775(x81622,x81621,x81623)),f2(a1))) % 153.71/153.55 [8290]P138(x82903,x82901,x82902)+E(x82901,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x82901),f770(x82902,x82901,x82903))),f767(x82902,x82901,x82903)),x82902)+E(f327(f327(f84(a1),f327(f327(f85(a1),x82901),f769(x82902,x82901,x82903))),f768(x82902,x82901,x82903)),x82902) % 153.71/153.55 [8291]P139(x82913,x82911,x82912)+E(x82911,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x82911),f773(x82912,x82911,x82913))),f775(x82912,x82911,x82913)),x82912)+E(f327(f327(f84(a1),f327(f327(f85(a1),x82911),f772(x82912,x82911,x82913))),f771(x82912,x82911,x82913)),x82912) % 153.71/153.55 [8311]P138(x83113,x83111,x83112)+~P134(f327(x83113,x83112))+E(f327(f327(f84(a1),f327(f327(f85(a1),x83111),f770(x83112,x83111,x83113))),f767(x83112,x83111,x83113)),x83112)+E(f327(f327(f84(a1),f327(f327(f85(a1),x83111),f769(x83112,x83111,x83113))),f768(x83112,x83111,x83113)),x83112) % 153.71/153.55 [8321]P139(x83213,x83211,x83212)+E(f327(f327(f84(a1),f327(f327(f85(a1),x83211),f773(x83212,x83211,x83213))),f775(x83212,x83211,x83213)),x83212)+E(f327(f327(f84(a1),f327(f327(f85(a1),x83211),f772(x83212,x83211,x83213))),f771(x83212,x83211,x83213)),x83212)+~P134(f327(x83213,f2(a1))) % 153.71/153.55 [8902]~P115(x89021)+~E(x89023,f2(x89021))+~E(x89022,f2(x89021))+P134(f327(f327(f227(x89021),f327(f327(f84(x89021),f327(f327(f85(x89021),x89022),x89022)),f327(f327(f85(x89021),x89023),x89023))),f2(x89021))) % 153.71/153.55 [9897]~P107(x98971)+~E(x98973,f2(x98971))+~E(x98972,f2(x98971))+P134(f327(f327(f227(x98971),f327(f327(f84(x98971),f327(f327(f237(x98971),x98972),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x98971),x98973),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))),f2(x98971))) % 153.71/153.55 [4653]~E(x46533,x46531)+~P110(x46532)+E(x46531,f2(x46532))+E(f327(f327(f278(x46532),x46533),x46531),f82(x46532)) % 153.71/153.55 [4704]~P91(x47041)+~E(x47043,f176(x47041))+~E(x47042,f176(x47041))+E(f327(f327(f100(x47041),x47042),x47043),f176(x47041)) % 153.71/153.55 [4705]~P90(x47051)+~E(x47053,f234(x47051))+~E(x47052,f234(x47051))+E(f327(f327(f101(x47051),x47052),x47053),f234(x47051)) % 153.71/153.55 [4796]~P110(x47963)+E(x47961,x47962)+E(x47962,f2(x47963))+~E(f327(f327(f278(x47963),x47961),x47962),f82(x47963)) % 153.71/153.55 [4813]~P118(x48132)+E(x48131,f2(x48132))+E(x48133,f2(x48132))+~E(f327(f327(f85(x48132),x48133),x48131),f2(x48132)) % 153.71/153.55 [4814]~P131(x48142)+E(x48141,f2(x48142))+E(x48143,f2(x48142))+~E(f327(f327(f85(x48142),x48143),x48141),f2(x48142)) % 153.71/153.55 [5184]~P108(x51843)+E(x51841,x51842)+E(x51841,f327(f83(x51843),x51842))+~E(f327(f327(f85(x51843),x51841),x51841),f327(f327(f85(x51843),x51842),x51842)) % 153.71/153.55 [5220]~P87(x52201)+E(f327(f83(x52201),x52202),x52203)+~E(f327(f327(f100(x52201),x52202),x52203),f234(x52201))+~E(f327(f327(f101(x52201),x52202),x52203),f176(x52201)) % 153.71/153.55 [5296]~P107(x52963)+E(x52961,x52962)+P134(f327(f327(f228(x52963),x52962),x52961))+P134(f327(f327(f228(x52963),x52961),x52962)) % 153.71/153.55 [5302]~P97(x53023)+E(x53021,x53022)+P134(f327(f327(f228(x53023),x53022),x53021))+P134(f327(f327(f228(x53023),x53021),x53022)) % 153.71/153.55 [5303]~E(x53032,x53033)+~P97(x53031)+P134(f327(f327(f227(x53031),x53032),x53033))+P134(f327(f327(f228(x53031),x53032),x53033)) % 153.71/153.55 [5560]~P96(x55603)+E(x55601,x55602)+~P134(f327(f327(f227(x55603),x55602),x55601))+P134(f327(f327(f228(x55603),x55602),x55601)) % 153.71/153.55 [5566]~P96(x55663)+E(x55661,x55662)+~P134(f327(f327(f227(x55663),x55661),x55662))+P134(f327(f327(f228(x55663),x55661),x55662)) % 153.71/153.55 [5568]~P97(x55683)+E(x55681,x55682)+~P134(f327(f327(f227(x55683),x55681),x55682))+P134(f327(f327(f228(x55683),x55681),x55682)) % 153.71/153.55 [5687]P138(x56871,x56872,x56873)+~P134(f327(x56871,x56873))+P134(f327(f327(f228(a1),x56872),f2(a1)))+P134(f327(f327(f228(a1),f2(a1)),x56872)) % 153.71/153.55 [5738]P139(x57381,x57382,x57383)+~P134(f327(x57381,f2(a1)))+P134(f327(f327(f228(a1),x57382),f2(a1)))+P134(f327(f327(f228(a1),f2(a1)),x57382)) % 153.71/153.55 [5742]~P89(x57421)+E(f327(f327(f100(x57421),x57422),f12(x57421,x57423)),x57422)+~P134(f327(f66(x57421),x57423))+~P134(f327(f327(f329(x57421),x57422),x57423)) % 153.71/153.55 [5743]~P89(x57431)+E(f327(f327(f101(x57431),x57432),f15(x57431,x57433)),x57432)+~P134(f327(f66(x57431),x57433))+~P134(f327(f327(f329(x57431),x57432),x57433)) % 153.71/153.55 [5778]~P97(x57781)+E(f327(f327(f231(x57781),x57782),f17(x57781,x57783)),f17(x57781,x57783))+~P134(f327(f66(x57781),x57783))+~P134(f327(f327(f329(x57781),x57782),x57783)) % 153.71/153.55 [5779]~P97(x57791)+E(f327(f327(f175(x57791),x57792),f16(x57791,x57793)),f16(x57791,x57793))+~P134(f327(f66(x57791),x57793))+~P134(f327(f327(f329(x57791),x57792),x57793)) % 153.71/153.55 [5780]~P89(x57801)+E(f327(f327(f100(x57801),x57802),f15(x57801,x57803)),f15(x57801,x57803))+~P134(f327(f66(x57801),x57803))+~P134(f327(f327(f329(x57801),x57802),x57803)) % 153.71/153.55 [5781]~P89(x57811)+E(f327(f327(f101(x57811),x57812),f12(x57811,x57813)),f12(x57811,x57813))+~P134(f327(f66(x57811),x57813))+~P134(f327(f327(f329(x57811),x57812),x57813)) % 153.71/153.55 [5825]E(x58251,x58252)+~P96(x58253)+~P134(f327(f327(f227(x58253),x58252),x58251))+~P134(f327(f327(f227(x58253),x58251),x58252)) % 153.71/153.55 [5968]~P100(x59681)+P134(f327(f327(f227(x59681),x59683),x59682))+~P134(f327(f327(f227(x59681),x59682),x59683))+P134(f327(f327(f228(x59681),x59682),x59683)) % 153.71/153.55 [5992]~P97(x59921)+~P134(f327(f66(x59921),x59923))+P134(f327(f327(f227(x59921),x59922),f16(x59921,x59923)))+~P134(f327(f327(f329(x59921),x59922),x59923)) % 153.71/153.55 [6046]~P97(x60461)+E(f327(f327(f231(x60461),x60462),f13(x60461,f175(x60461),x60463)),x60462)+~P134(f327(f66(x60461),x60463))+~P134(f327(f327(f329(x60461),x60462),x60463)) % 153.71/153.55 [6047]~P97(x60471)+E(f327(f327(f175(x60471),x60472),f14(x60471,f231(x60471),x60473)),x60472)+~P134(f327(f66(x60471),x60473))+~P134(f327(f327(f329(x60471),x60472),x60473)) % 153.71/153.55 [6195]E(x61951,x61952)+~E(f327(f327(f3(a834),x61951),x61953),f327(f327(f3(a834),x61952),x61953))+~P134(f327(f327(f227(a834),x61953),x61951))+~P134(f327(f327(f227(a834),x61953),x61952)) % 153.71/153.55 [6221]~P97(x62211)+~P134(f327(f66(x62211),x62212))+~P134(f327(f327(f329(x62211),x62213),x62212))+P134(f327(f327(f227(x62211),f17(x62211,x62212)),x62213)) % 153.71/153.55 [6287]P138(x62872,x62871,x62873)+E(x62871,f2(a1))+P134(f327(f327(f228(a1),x62871),f767(x62873,x62871,x62872)))+P134(f327(f327(f228(a1),f2(a1)),x62871)) % 153.71/153.55 [6288]P139(x62882,x62881,x62883)+E(x62881,f2(a1))+P134(f327(f327(f228(a1),x62881),f775(x62883,x62881,x62882)))+P134(f327(f327(f228(a1),f2(a1)),x62881)) % 153.71/153.55 [6289]~P97(x62891)+E(f327(f327(f231(x62891),x62892),f14(x62891,f231(x62891),x62893)),f14(x62891,f231(x62891),x62893))+~P134(f327(f66(x62891),x62893))+~P134(f327(f327(f329(x62891),x62892),x62893)) % 153.71/153.55 [6290]~P97(x62901)+E(f327(f327(f175(x62901),x62902),f13(x62901,f175(x62901),x62903)),f13(x62901,f175(x62901),x62903))+~P134(f327(f66(x62901),x62903))+~P134(f327(f327(f329(x62901),x62902),x62903)) % 153.71/153.55 [6296]~P134(f327(x62961,x62962))+P134(f327(x62961,f789(x62962,x62961,x62963)))+P134(f327(x62961,f2(a834)))+~P134(f327(f327(f228(a834),x62962),x62963)) % 153.71/153.55 [6355]~P134(f327(x63551,x63552))+~P134(f327(f66(x63553),x63552))+P134(f327(x63551,f466(x63551,x63552,x63553)))+P134(f327(x63551,f176(f841(x63553,a831)))) % 153.71/153.55 [6368]~P107(x63681)+~P85(x63681)+P134(f327(f327(f228(x63681),f327(f103(x63681),x63682)),f327(f103(x63681),x63683)))+~P134(f327(f327(f228(a1),x63682),x63683)) % 153.71/153.55 [6369]~P107(x63691)+~P85(x63691)+P134(f327(f327(f227(x63691),f327(f103(x63691),x63692)),f327(f103(x63691),x63693)))+~P134(f327(f327(f227(a1),x63692),x63693)) % 153.71/153.55 [6372]~P134(f327(x63721,x63723))+~P134(f327(f66(x63722),x63723))+P134(f327(f66(x63722),f466(x63721,x63723,x63722)))+P134(f327(x63721,f176(f841(x63722,a831)))) % 153.71/153.55 [6407]P138(x64071,x64072,x64073)+~P134(f327(x64071,x64073))+P134(f327(f327(f228(a1),x64072),f767(x64073,x64072,x64071)))+P134(f327(f327(f228(a1),f2(a1)),x64072)) % 153.71/153.55 [6443]P139(x64431,x64432,x64433)+P134(f327(f327(f228(a1),x64432),f775(x64433,x64432,x64431)))+~P134(f327(x64431,f2(a1)))+P134(f327(f327(f228(a1),f2(a1)),x64432)) % 153.71/153.55 [6472]~P99(x64721)+~P86(x64721)+E(f327(f327(f231(x64721),f327(f103(x64721),x64722)),f327(f103(x64721),x64723)),f327(f103(x64721),x64723))+P134(f327(f327(f227(x64721),f327(f103(x64721),x64722)),f327(f103(x64721),x64723))) % 153.71/153.55 [6473]~P99(x64731)+~P86(x64731)+E(f327(f327(f175(x64731),f327(f103(x64731),x64732)),f327(f103(x64731),x64733)),f327(f103(x64731),x64732))+P134(f327(f327(f227(x64731),f327(f103(x64731),x64732)),f327(f103(x64731),x64733))) % 153.71/153.55 [6534]P138(x65342,x65341,x65343)+E(x65341,f2(a1))+~P134(f327(x65342,f767(x65343,x65341,x65342)))+P134(f327(f327(f228(a1),f2(a1)),x65341)) % 153.71/153.55 [6535]P139(x65352,x65351,x65353)+E(x65351,f2(a1))+~P134(f327(x65352,f773(x65353,x65351,x65352)))+P134(f327(f327(f228(a1),f2(a1)),x65351)) % 153.71/153.55 [6629]P138(x66291,x66292,x66293)+~P134(f327(x66291,x66293))+~P134(f327(x66291,f767(x66293,x66292,x66291)))+P134(f327(f327(f228(a1),f2(a1)),x66292)) % 153.71/153.55 [6659]P139(x66591,x66592,x66593)+~P134(f327(x66591,f773(x66593,x66592,x66591)))+~P134(f327(x66591,f2(a1)))+P134(f327(f327(f228(a1),f2(a1)),x66592)) % 153.71/153.55 [6774]~P85(x67743)+~P107(x67743)+~P134(f327(f327(f228(x67743),f327(f103(x67743),x67741)),f327(f103(x67743),x67742)))+P134(f327(f327(f228(a1),x67741),x67742)) % 153.71/153.55 [6775]~P85(x67753)+~P107(x67753)+~P134(f327(f327(f227(x67753),f327(f103(x67753),x67751)),f327(f103(x67753),x67752)))+P134(f327(f327(f227(a1),x67751),x67752)) % 153.71/153.55 [6802]~P97(x68021)+~P18(x68021,x68023)+P18(x68021,f327(f327(f136(x68021),x68022),x68023))+~P134(f327(f327(f227(x68021),x68022),f744(x68023,x68022,x68021))) % 153.71/153.55 [6803]~P97(x68031)+~P18(x68031,x68033)+P18(x68031,f327(f327(f136(x68031),x68032),x68033))+~P134(f327(f327(f227(x68031),x68032),f747(x68033,x68032,x68031))) % 153.71/153.55 [6895]P138(x68952,x68951,x68953)+E(x68951,f2(a1))+P134(f327(f327(f228(a1),x68951),f2(a1)))+P134(f327(f327(f228(a1),f768(x68953,x68951,x68952)),x68951)) % 153.71/153.55 [6896]P139(x68962,x68961,x68963)+E(x68961,f2(a1))+P134(f327(f327(f228(a1),x68961),f2(a1)))+P134(f327(f327(f228(a1),f771(x68963,x68961,x68962)),x68961)) % 153.71/153.55 [6933]P138(x69332,x69331,x69333)+E(x69331,f2(a1))+P134(f327(f327(f227(a1),f767(x69333,x69331,x69332)),f2(a1)))+P134(f327(f327(f228(a1),f2(a1)),x69331)) % 153.71/153.55 [6934]P139(x69342,x69341,x69343)+E(x69341,f2(a1))+P134(f327(f327(f227(a1),f775(x69343,x69341,x69342)),f2(a1)))+P134(f327(f327(f228(a1),f2(a1)),x69341)) % 153.71/153.55 [6954]~P97(x69541)+~P18(x69541,x69543)+E(f327(f327(f134(x69541,x69541,f7(x69541)),x69542),f152(x69541,x69542,x69543)),x69543)+~P134(f327(f327(f329(x69541),x69542),f327(f154(x69541),x69543))) % 153.71/153.55 [7006]P138(x70061,x70062,x70063)+~P134(f327(x70061,x70063))+P134(f327(f327(f228(a1),x70062),f2(a1)))+P134(f327(f327(f228(a1),f768(x70063,x70062,x70061)),x70062)) % 153.71/153.55 [7012]~P99(x70121)+~P86(x70121)+E(f327(f327(f231(x70121),f327(f103(x70121),x70122)),f327(f103(x70121),x70123)),f327(f103(x70121),x70122))+~P134(f327(f327(f227(x70121),f327(f103(x70121),x70122)),f327(f103(x70121),x70123))) % 153.71/153.55 [7013]~P99(x70131)+~P86(x70131)+E(f327(f327(f175(x70131),f327(f103(x70131),x70132)),f327(f103(x70131),x70133)),f327(f103(x70131),x70133))+~P134(f327(f327(f227(x70131),f327(f103(x70131),x70132)),f327(f103(x70131),x70133))) % 153.71/153.55 [7026]P139(x70261,x70262,x70263)+~P134(f327(x70261,f2(a1)))+P134(f327(f327(f228(a1),x70262),f2(a1)))+P134(f327(f327(f228(a1),f771(x70263,x70262,x70261)),x70262)) % 153.71/153.55 [7036]P138(x70361,x70362,x70363)+~P134(f327(x70361,x70363))+P134(f327(f327(f227(a1),f767(x70363,x70362,x70361)),f2(a1)))+P134(f327(f327(f228(a1),f2(a1)),x70362)) % 153.71/153.55 [7060]P139(x70601,x70602,x70603)+~P134(f327(x70601,f2(a1)))+P134(f327(f327(f227(a1),f775(x70603,x70602,x70601)),f2(a1)))+P134(f327(f327(f228(a1),f2(a1)),x70602)) % 153.71/153.55 [7087]~P134(f327(x70871,x70872))+P134(f327(x70871,f2(a834)))+~P134(f327(f327(f228(a834),x70872),x70873))+P134(f327(f327(f228(a834),f789(x70872,x70871,x70873)),x70873)) % 153.71/153.55 [7104]~P97(x71041)+~P18(x71041,x71043)+P18(x71041,f327(f327(f136(x71041),x71042),x71043))+P134(f327(f327(f329(x71041),f744(x71043,x71042,x71041)),f327(f154(x71041),x71043))) % 153.71/153.55 [7105]~P97(x71051)+~P18(x71051,x71053)+P18(x71051,f327(f327(f136(x71051),x71052),x71053))+P134(f327(f327(f329(x71051),f747(x71053,x71052,x71051)),f327(f154(x71051),x71053))) % 153.71/153.55 [7229]~P97(x72291)+~P9(x72291)+~P134(f327(f327(f228(x72291),x72293),f45(x72291,x72292)))+P134(f327(f327(f329(x72291),f639(x72292,x72293,x72291)),x72292)) % 153.71/153.55 [7394]~P97(x73941)+~P9(x73941)+~P134(f327(f327(f228(x73941),f46(x73941,x73943)),x73942))+P134(f327(f327(f228(x73941),f645(x73942,x73943,x73941)),x73942)) % 153.71/153.55 [7395]~P97(x73951)+~P9(x73951)+~P134(f327(f327(f228(x73951),f46(x73951,x73953)),x73952))+P134(f327(f327(f329(x73951),f645(x73952,x73953,x73951)),x73953)) % 153.71/153.55 [7407]P138(x74072,x74071,x74073)+E(x74071,f2(a1))+P134(f327(f327(f228(a1),x74071),f767(x74073,x74071,x74072)))+P134(f327(f327(f228(a1),f768(x74073,x74071,x74072)),x74071)) % 153.71/153.55 [7408]P139(x74082,x74081,x74083)+E(x74081,f2(a1))+P134(f327(f327(f228(a1),x74081),f775(x74083,x74081,x74082)))+P134(f327(f327(f228(a1),f771(x74083,x74081,x74082)),x74081)) % 153.71/153.55 [7505]P138(x75053,x75051,x75052)+E(x75051,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x75051),f770(x75052,x75051,x75053))),f767(x75052,x75051,x75053)),x75052)+P134(f327(f327(f228(a1),f2(a1)),x75051)) % 153.71/153.55 [7506]P139(x75063,x75061,x75062)+E(x75061,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x75061),f773(x75062,x75061,x75063))),f775(x75062,x75061,x75063)),x75062)+P134(f327(f327(f228(a1),f2(a1)),x75061)) % 153.71/153.55 [7508]~P120(x75081)+~P134(f327(f327(f228(x75081),x75083),f2(x75081)))+P134(f327(f327(f228(x75081),f327(f327(f85(x75081),x75082),x75083)),f2(x75081)))+~P134(f327(f327(f228(x75081),f2(x75081)),x75082)) % 153.71/153.55 [7509]~P120(x75091)+~P134(f327(f327(f228(x75091),x75092),f2(x75091)))+P134(f327(f327(f228(x75091),f327(f327(f85(x75091),x75092),x75093)),f2(x75091)))+~P134(f327(f327(f228(x75091),f2(x75091)),x75093)) % 153.71/153.55 [7510]~P60(x75101)+~P134(f327(f327(f228(x75101),x75103),f2(x75101)))+P134(f327(f327(f228(x75101),f327(f327(f278(x75101),x75102),x75103)),f2(x75101)))+~P134(f327(f327(f228(x75101),f2(x75101)),x75102)) % 153.71/153.55 [7511]~P60(x75111)+~P134(f327(f327(f228(x75111),x75112),f2(x75111)))+P134(f327(f327(f228(x75111),f327(f327(f278(x75111),x75112),x75113)),f2(x75111)))+~P134(f327(f327(f228(x75111),f2(x75111)),x75113)) % 153.71/153.55 [7512]~P61(x75121)+~P134(f327(f327(f228(x75121),x75123),f2(x75121)))+P134(f327(f327(f228(x75121),f327(f327(f278(x75121),x75122),x75123)),f2(x75121)))+~P134(f327(f327(f228(x75121),f2(x75121)),x75122)) % 153.71/153.55 [7513]~P61(x75131)+~P134(f327(f327(f228(x75131),x75132),f2(x75131)))+P134(f327(f327(f228(x75131),f327(f327(f278(x75131),x75132),x75133)),f2(x75131)))+~P134(f327(f327(f228(x75131),f2(x75131)),x75133)) % 153.71/153.55 [7515]~P115(x75151)+~P134(f327(f327(f227(x75151),x75153),f2(x75151)))+P134(f327(f327(f227(x75151),f327(f327(f85(x75151),x75152),x75153)),f2(x75151)))+~P134(f327(f327(f227(x75151),f2(x75151)),x75152)) % 153.71/153.55 [7516]~P115(x75161)+~P134(f327(f327(f227(x75161),x75162),f2(x75161)))+P134(f327(f327(f227(x75161),f327(f327(f85(x75161),x75162),x75163)),f2(x75161)))+~P134(f327(f327(f227(x75161),f2(x75161)),x75163)) % 153.71/153.55 [7518]~P124(x75181)+~P134(f327(f327(f227(x75181),x75183),f2(x75181)))+P134(f327(f327(f227(x75181),f327(f327(f85(x75181),x75182),x75183)),f2(x75181)))+~P134(f327(f327(f227(x75181),f2(x75181)),x75182)) % 153.71/153.55 [7520]~P124(x75201)+~P134(f327(f327(f227(x75201),x75202),f2(x75201)))+P134(f327(f327(f227(x75201),f327(f327(f85(x75201),x75202),x75203)),f2(x75201)))+~P134(f327(f327(f227(x75201),f2(x75201)),x75203)) % 153.71/153.55 [7521]~P60(x75211)+~P134(f327(f327(f227(x75211),x75213),f2(x75211)))+P134(f327(f327(f227(x75211),f327(f327(f278(x75211),x75212),x75213)),f2(x75211)))+~P134(f327(f327(f227(x75211),f2(x75211)),x75212)) % 153.71/153.55 [7522]~P60(x75221)+~P134(f327(f327(f227(x75221),x75222),f2(x75221)))+P134(f327(f327(f227(x75221),f327(f327(f278(x75221),x75222),x75223)),f2(x75221)))+~P134(f327(f327(f227(x75221),f2(x75221)),x75223)) % 153.71/153.55 [7523]~P61(x75231)+~P134(f327(f327(f228(x75231),x75233),f2(x75231)))+P134(f327(f327(f227(x75231),f327(f327(f278(x75231),x75232),x75233)),f2(x75231)))+~P134(f327(f327(f227(x75231),f2(x75231)),x75232)) % 153.71/153.55 [7524]~P61(x75241)+~P134(f327(f327(f227(x75241),x75242),f2(x75241)))+P134(f327(f327(f227(x75241),f327(f327(f278(x75241),x75242),x75243)),f2(x75241)))+~P134(f327(f327(f228(x75241),f2(x75241)),x75243)) % 153.71/153.55 [7539]P138(x75391,x75392,x75393)+~P134(f327(x75391,x75393))+P134(f327(f327(f228(a1),x75392),f767(x75393,x75392,x75391)))+P134(f327(f327(f228(a1),f768(x75393,x75392,x75391)),x75392)) % 153.71/153.55 [7552]P139(x75521,x75522,x75523)+P134(f327(f327(f228(a1),x75522),f775(x75523,x75522,x75521)))+~P134(f327(x75521,f2(a1)))+P134(f327(f327(f228(a1),f771(x75523,x75522,x75521)),x75522)) % 153.71/153.55 [7604]P138(x76042,x76041,x76043)+E(x76041,f2(a1))+~P134(f327(x76042,f767(x76043,x76041,x76042)))+P134(f327(f327(f228(a1),f768(x76043,x76041,x76042)),x76041)) % 153.71/153.55 [7605]P139(x76052,x76051,x76053)+E(x76051,f2(a1))+~P134(f327(x76052,f773(x76053,x76051,x76052)))+P134(f327(f327(f228(a1),f771(x76053,x76051,x76052)),x76051)) % 153.71/153.55 [7614]P138(x76143,x76141,x76142)+~P134(f327(x76143,x76142))+E(f327(f327(f84(a1),f327(f327(f85(a1),x76141),f770(x76142,x76141,x76143))),f767(x76142,x76141,x76143)),x76142)+P134(f327(f327(f228(a1),f2(a1)),x76141)) % 153.71/153.55 [7631]P139(x76313,x76311,x76312)+E(f327(f327(f84(a1),f327(f327(f85(a1),x76311),f773(x76312,x76311,x76313))),f775(x76312,x76311,x76313)),x76312)+~P134(f327(x76313,f2(a1)))+P134(f327(f327(f228(a1),f2(a1)),x76311)) % 153.71/153.55 [7656]~P134(f327(x76561,x76563))+~P134(f327(f66(x76562),x76563))+P134(f327(f327(f329(x76562),f467(x76561,x76563,x76562)),f466(x76561,x76563,x76562)))+P134(f327(x76561,f176(f841(x76562,a831)))) % 153.71/153.55 [7667]P138(x76671,x76672,x76673)+~P134(f327(x76671,x76673))+~P134(f327(x76671,f767(x76673,x76672,x76671)))+P134(f327(f327(f228(a1),f768(x76673,x76672,x76671)),x76672)) % 153.71/153.55 [7673]P139(x76731,x76732,x76733)+~P134(f327(x76731,f773(x76733,x76732,x76731)))+~P134(f327(x76731,f2(a1)))+P134(f327(f327(f228(a1),f771(x76733,x76732,x76731)),x76732)) % 153.71/153.55 [7779]~P60(x77791)+~P134(f327(f327(f228(x77791),f327(f327(f278(x77791),x77793),x77792)),f2(x77791)))+P134(f327(f327(f228(x77791),x77792),f2(x77791)))+P134(f327(f327(f228(x77791),f2(x77791)),x77792)) % 153.71/153.55 [7780]~P60(x77801)+~P134(f327(f327(f228(x77801),f327(f327(f278(x77801),x77802),x77803)),f2(x77801)))+P134(f327(f327(f228(x77801),x77802),f2(x77801)))+P134(f327(f327(f228(x77801),f2(x77801)),x77802)) % 153.71/153.55 [7781]~P115(x77811)+~P134(f327(f327(f227(x77811),f327(f327(f85(x77811),x77813),x77812)),f2(x77811)))+P134(f327(f327(f227(x77811),x77812),f2(x77811)))+P134(f327(f327(f227(x77811),f2(x77811)),x77812)) % 153.71/153.55 [7782]~P115(x77821)+~P134(f327(f327(f227(x77821),f327(f327(f85(x77821),x77822),x77823)),f2(x77821)))+P134(f327(f327(f227(x77821),x77822),f2(x77821)))+P134(f327(f327(f227(x77821),f2(x77821)),x77822)) % 153.71/153.55 [7783]~P60(x77831)+~P134(f327(f327(f227(x77831),f327(f327(f278(x77831),x77833),x77832)),f2(x77831)))+P134(f327(f327(f227(x77831),x77832),f2(x77831)))+P134(f327(f327(f227(x77831),f2(x77831)),x77832)) % 153.71/153.55 [7784]~P60(x77841)+~P134(f327(f327(f227(x77841),f327(f327(f278(x77841),x77842),x77843)),f2(x77841)))+P134(f327(f327(f227(x77841),x77842),f2(x77841)))+P134(f327(f327(f227(x77841),f2(x77841)),x77842)) % 153.71/153.55 [7810]~P60(x78101)+~P134(f327(f327(f228(x78101),f327(f327(f278(x78101),x78102),x78103)),f2(x78101)))+P134(f327(f327(f228(x78101),f2(x78101)),x78102))+P134(f327(f327(f228(x78101),f2(x78101)),x78103)) % 153.71/153.55 [7811]~P115(x78111)+~P134(f327(f327(f227(x78111),f327(f327(f85(x78111),x78112),x78113)),f2(x78111)))+P134(f327(f327(f227(x78111),f2(x78111)),x78112))+P134(f327(f327(f227(x78111),f2(x78111)),x78113)) % 153.71/153.55 [7812]~P60(x78121)+~P134(f327(f327(f227(x78121),f327(f327(f278(x78121),x78122),x78123)),f2(x78121)))+P134(f327(f327(f227(x78121),f2(x78121)),x78122))+P134(f327(f327(f227(x78121),f2(x78121)),x78123)) % 153.71/153.55 [7831]P138(x78312,x78311,x78313)+E(x78311,f2(a1))+P134(f327(f327(f227(a1),f767(x78313,x78311,x78312)),f2(a1)))+P134(f327(f327(f228(a1),f768(x78313,x78311,x78312)),x78311)) % 153.71/153.55 [7832]P139(x78322,x78321,x78323)+E(x78321,f2(a1))+P134(f327(f327(f227(a1),f775(x78323,x78321,x78322)),f2(a1)))+P134(f327(f327(f228(a1),f771(x78323,x78321,x78322)),x78321)) % 153.71/153.55 [7838]~P114(x78381)+~P134(f327(f327(f228(x78381),x78382),f82(x78381)))+P134(f327(f327(f228(x78381),f327(f327(f237(x78381),x78382),f327(a111,x78383))),f82(x78381)))+~P134(f327(f327(f228(x78381),f2(x78381)),x78382)) % 153.71/153.55 [7892]~P97(x78921)+~E(x78923,f112(x78921))+~P18(x78921,f327(f151(x78921),x78923))+E(f327(f128(x78921,x78921,f327(f9(x78921,x78921,x78921),f175(x78921)),x78922),f327(f151(x78921),x78923)),x78922) % 153.71/153.55 [7894]P138(x78941,x78942,x78943)+~P134(f327(x78941,x78943))+P134(f327(f327(f227(a1),f767(x78943,x78942,x78941)),f2(a1)))+P134(f327(f327(f228(a1),f768(x78943,x78942,x78941)),x78942)) % 153.71/153.55 [7903]P139(x79031,x79032,x79033)+~P134(f327(x79031,f2(a1)))+P134(f327(f327(f227(a1),f775(x79033,x79032,x79031)),f2(a1)))+P134(f327(f327(f228(a1),f771(x79033,x79032,x79031)),x79032)) % 153.71/153.55 [8111]P138(x81113,x81111,x81112)+E(x81111,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x81111),f770(x81112,x81111,x81113))),f767(x81112,x81111,x81113)),x81112)+P134(f327(f327(f228(a1),f768(x81112,x81111,x81113)),x81111)) % 153.71/153.55 [8112]P139(x81123,x81121,x81122)+E(x81121,f2(a1))+E(f327(f327(f84(a1),f327(f327(f85(a1),x81121),f773(x81122,x81121,x81123))),f775(x81122,x81121,x81123)),x81122)+P134(f327(f327(f228(a1),f771(x81122,x81121,x81123)),x81121)) % 153.71/153.55 [8147]P138(x81473,x81471,x81472)+~P134(f327(x81473,x81472))+E(f327(f327(f84(a1),f327(f327(f85(a1),x81471),f770(x81472,x81471,x81473))),f767(x81472,x81471,x81473)),x81472)+P134(f327(f327(f228(a1),f768(x81472,x81471,x81473)),x81471)) % 153.71/153.55 [8148]~P65(x81481)+~P68(x81481)+~P35(x81483)+E(f327(f327(f8(a834,x81481),f327(f327(f10(a1,x81481,a834),x81482),f99(a1))),f327(f298(a1,a834,a104),x81483)),f327(f327(f8(a1,x81481),x81482),x81483)) % 153.71/153.55 [8149]~P65(x81491)+~P68(x81491)+~P35(x81493)+E(f327(f327(f11(a834,x81491),f327(f327(f10(a1,x81491,a834),x81492),f99(a1))),f327(f298(a1,a834,a104),x81493)),f327(f327(f11(a1,x81491),x81492),x81493)) % 153.71/153.55 [8158]P139(x81583,x81581,x81582)+E(f327(f327(f84(a1),f327(f327(f85(a1),x81581),f773(x81582,x81581,x81583))),f775(x81582,x81581,x81583)),x81582)+~P134(f327(x81583,f2(a1)))+P134(f327(f327(f228(a1),f771(x81582,x81581,x81583)),x81581)) % 153.71/153.55 [8177]~E(x81772,f2(a834))+~E(f327(f235(a834,a834),x81773),f2(a834))+~E(x81771,f327(f327(f84(a834),f327(f327(f85(a834),f327(f235(a834,a834),x81773)),x81772)),f327(f245(a834,a834),x81773)))+P134(f327(f56(x81771,x81772),x81773)) % 153.71/153.55 [9003]P134(f327(f327(f227(a1),x90031),f2(a1)))+~P134(f327(f327(f228(a1),f327(f327(f84(a1),f327(f327(f85(a1),x90032),x90031)),x90033)),f2(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x90032))+~P134(f327(f327(f227(a1),f2(a1)),x90033)) % 153.71/153.55 [5634]~P89(x56342)+E(x56341,f176(f841(x56342,a831)))+~P134(f327(f66(x56342),x56341))+E(f15(x56342,f327(f327(f297(x56342),x56343),x56341)),f327(f327(f100(x56342),x56343),f15(x56342,x56341))) % 153.71/153.55 [5635]~P97(x56352)+E(x56351,f176(f841(x56352,a831)))+~P134(f327(f66(x56352),x56351))+E(f16(x56352,f327(f327(f297(x56352),x56353),x56351)),f327(f327(f175(x56352),x56353),f16(x56352,x56351))) % 153.71/153.55 [5636]~P97(x56362)+E(x56361,f176(f841(x56362,a831)))+~P134(f327(f66(x56362),x56361))+E(f17(x56362,f327(f327(f297(x56362),x56363),x56361)),f327(f327(f231(x56362),x56363),f17(x56362,x56361))) % 153.71/153.55 [5637]~P89(x56372)+E(x56371,f176(f841(x56372,a831)))+~P134(f327(f66(x56372),x56371))+E(f12(x56372,f327(f327(f297(x56372),x56373),x56371)),f327(f327(f101(x56372),x56373),f12(x56372,x56371))) % 153.71/153.55 [5965]~P115(x59651)+~E(x59653,f2(x59651))+~E(x59652,f2(x59651))+E(f327(f327(f84(x59651),f327(f327(f85(x59651),x59652),x59652)),f327(f327(f85(x59651),x59653),x59653)),f2(x59651)) % 153.71/153.55 [6040]~P88(x60402)+E(x60401,f176(f841(x60402,a831)))+~P134(f327(f66(x60402),x60401))+E(f327(f68(x60402,f85(x60402)),f327(f327(f297(x60402),x60403),x60401)),f327(f327(f85(x60402),x60403),f327(f68(x60402,f85(x60402)),x60401))) % 153.71/153.55 [6169]~P97(x61692)+E(x61691,f176(f841(x61692,a831)))+~P134(f327(f66(x61692),x61691))+E(f13(x61692,f175(x61692),f327(f327(f297(x61692),x61693),x61691)),f327(f327(f175(x61692),x61693),f13(x61692,f175(x61692),x61691))) % 153.71/153.55 [6170]~P97(x61702)+E(x61701,f176(f841(x61702,a831)))+~P134(f327(f66(x61702),x61701))+E(f14(x61702,f231(x61702),f327(f327(f297(x61702),x61703),x61701)),f327(f327(f231(x61702),x61703),f14(x61702,f231(x61702),x61701))) % 153.71/153.55 [6693]~P62(x66931)+~P134(f327(f66(x66931),x66933))+E(f327(f68(x66931,f85(x66931)),f327(f327(f297(x66931),x66932),x66933)),f327(f327(f69(x66931,x66931,f85(x66931)),x66932),x66933))+P134(f327(f327(f329(x66931),x66932),x66933)) % 153.71/153.55 [6778]~E(f327(f327(f84(a1),x67782),f327(f327(f85(a1),x67783),x67781)),x67783)+~P134(f327(f327(f228(a1),f2(a1)),x67783))+P134(f327(f327(f227(a1),f82(a1)),x67781))+~P134(f327(f327(f228(a1),x67782),x67783)) % 153.71/153.55 [6808]~E(f327(f327(f84(a1),x68082),f327(f327(f85(a1),x68083),x68081)),x68083)+P134(f327(f327(f227(a1),x68081),f82(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x68083))+~P134(f327(f327(f227(a1),f2(a1)),x68082)) % 153.71/153.55 [6826]E(x68261,f2(a834))+~P134(f327(f56(x68263,x68261),x68262))+~P134(f327(f327(f228(a834),f2(a834)),x68261))+P134(f327(f327(f228(a834),f327(f245(a834,a834),x68262)),x68261)) % 153.71/153.55 [6854]~P128(x68541)+~P134(f327(f327(f227(x68541),x68542),f2(x68541)))+~P134(f327(f327(f227(x68541),x68543),f2(x68541)))+E(f327(f327(f85(x68541),f327(f79(x68541),x68542)),f327(f79(x68541),x68543)),f327(f79(x68541),f327(f327(f85(x68541),x68542),x68543))) % 153.71/153.55 [6910]~P128(x69101)+~P134(f327(f327(f227(x69101),x69102),f2(x69101)))+E(f327(f327(f85(x69101),f327(f79(x69101),x69102)),f327(f79(x69101),x69103)),f327(f79(x69101),f327(f327(f85(x69101),x69102),x69103)))+~P134(f327(f327(f227(x69101),f2(x69101)),x69103)) % 153.71/153.55 [6911]~P128(x69111)+~P134(f327(f327(f227(x69111),x69113),f2(x69111)))+E(f327(f327(f85(x69111),f327(f79(x69111),x69112)),f327(f79(x69111),x69113)),f327(f79(x69111),f327(f327(f85(x69111),x69112),x69113)))+~P134(f327(f327(f227(x69111),f2(x69111)),x69112)) % 153.71/153.55 [6963]~P128(x69631)+E(f327(f327(f85(x69631),f327(f79(x69631),x69632)),f327(f79(x69631),x69633)),f327(f79(x69631),f327(f327(f85(x69631),x69632),x69633)))+~P134(f327(f327(f227(x69631),f2(x69631)),x69632))+~P134(f327(f327(f227(x69631),f2(x69631)),x69633)) % 153.71/153.55 [6981]~P115(x69811)+~P134(f327(f327(f228(x69811),x69813),f2(x69811)))+~P134(f327(f327(f228(x69811),x69812),f2(x69811)))+P134(f327(f327(f228(x69811),f2(x69811)),f327(f327(f85(x69811),x69812),x69813))) % 153.71/153.55 [6982]~P60(x69821)+~P134(f327(f327(f228(x69821),x69823),f2(x69821)))+~P134(f327(f327(f228(x69821),x69822),f2(x69821)))+P134(f327(f327(f228(x69821),f2(x69821)),f327(f327(f278(x69821),x69822),x69823))) % 153.71/153.55 [6983]~P61(x69831)+~P134(f327(f327(f228(x69831),x69833),f2(x69831)))+~P134(f327(f327(f228(x69831),x69832),f2(x69831)))+P134(f327(f327(f228(x69831),f2(x69831)),f327(f327(f278(x69831),x69832),x69833))) % 153.71/153.55 [6984]~P115(x69841)+~P134(f327(f327(f227(x69841),x69843),f2(x69841)))+~P134(f327(f327(f227(x69841),x69842),f2(x69841)))+P134(f327(f327(f227(x69841),f2(x69841)),f327(f327(f85(x69841),x69842),x69843))) % 153.71/153.55 [6986]~P125(x69861)+~P134(f327(f327(f227(x69861),x69863),f2(x69861)))+~P134(f327(f327(f227(x69861),x69862),f2(x69861)))+P134(f327(f327(f227(x69861),f2(x69861)),f327(f327(f85(x69861),x69862),x69863))) % 153.71/153.55 [6987]~P60(x69871)+~P134(f327(f327(f227(x69871),x69873),f2(x69871)))+~P134(f327(f327(f227(x69871),x69872),f2(x69871)))+P134(f327(f327(f227(x69871),f2(x69871)),f327(f327(f278(x69871),x69872),x69873))) % 153.71/153.55 [6988]~P61(x69881)+~P134(f327(f327(f228(x69881),x69883),f2(x69881)))+~P134(f327(f327(f227(x69881),x69882),f2(x69881)))+P134(f327(f327(f227(x69881),f2(x69881)),f327(f327(f278(x69881),x69882),x69883))) % 153.71/153.55 [6989]~P114(x69891)+~P134(f327(f327(f228(a834),f2(a834)),x69893))+~P134(f327(f327(f228(x69891),f82(x69891)),x69892))+P134(f327(f327(f228(x69891),f82(x69891)),f327(f327(f237(x69891),x69892),x69893))) % 153.71/153.55 [7088]~P78(x70881)+~P134(f327(f327(f228(x70881),f2(x70881)),x70883))+~P134(f327(f327(f228(x70881),f2(x70881)),x70882))+P134(f327(f327(f228(x70881),f2(x70881)),f327(f327(f84(x70881),x70882),x70883))) % 153.71/153.55 [7091]~P120(x70911)+~P134(f327(f327(f228(x70911),f2(x70911)),x70913))+~P134(f327(f327(f228(x70911),f2(x70911)),x70912))+P134(f327(f327(f228(x70911),f2(x70911)),f327(f327(f85(x70911),x70912),x70913))) % 153.71/153.55 [7092]~P60(x70921)+~P134(f327(f327(f228(x70921),f2(x70921)),x70923))+~P134(f327(f327(f228(x70921),f2(x70921)),x70922))+P134(f327(f327(f228(x70921),f2(x70921)),f327(f327(f278(x70921),x70922),x70923))) % 153.71/153.55 [7093]~P61(x70931)+~P134(f327(f327(f228(x70931),f2(x70931)),x70933))+~P134(f327(f327(f228(x70931),f2(x70931)),x70932))+P134(f327(f327(f228(x70931),f2(x70931)),f327(f327(f278(x70931),x70932),x70933))) % 153.71/153.55 [7094]~P114(x70941)+~P134(f327(f327(f228(x70941),f82(x70941)),x70943))+~P134(f327(f327(f228(x70941),f82(x70941)),x70942))+P134(f327(f327(f228(x70941),f82(x70941)),f327(f327(f85(x70941),x70942),x70943))) % 153.71/153.55 [7096]~P115(x70961)+~P134(f327(f327(f227(x70961),f2(x70961)),x70963))+~P134(f327(f327(f227(x70961),f2(x70961)),x70962))+P134(f327(f327(f227(x70961),f2(x70961)),f327(f327(f85(x70961),x70962),x70963))) % 153.71/153.55 [7097]~P124(x70971)+~P134(f327(f327(f227(x70971),f2(x70971)),x70973))+~P134(f327(f327(f227(x70971),f2(x70971)),x70972))+P134(f327(f327(f227(x70971),f2(x70971)),f327(f327(f85(x70971),x70972),x70973))) % 153.71/153.55 [7098]~P125(x70981)+~P134(f327(f327(f227(x70981),f2(x70981)),x70983))+~P134(f327(f327(f227(x70981),f2(x70981)),x70982))+P134(f327(f327(f227(x70981),f2(x70981)),f327(f327(f85(x70981),x70982),x70983))) % 153.71/153.55 [7099]~P60(x70991)+~P134(f327(f327(f227(x70991),f2(x70991)),x70993))+~P134(f327(f327(f227(x70991),f2(x70991)),x70992))+P134(f327(f327(f227(x70991),f2(x70991)),f327(f327(f278(x70991),x70992),x70993))) % 153.71/153.55 [7100]~P61(x71001)+~P134(f327(f327(f228(x71001),f2(x71001)),x71003))+~P134(f327(f327(f227(x71001),f2(x71001)),x71002))+P134(f327(f327(f227(x71001),f2(x71001)),f327(f327(f278(x71001),x71002),x71003))) % 153.71/153.55 [7179]~P89(x71791)+~P134(f327(f66(x71791),x71793))+E(f15(x71791,f327(f327(f297(x71791),x71792),x71793)),x71792)+~E(f327(f327(f3(f841(x71791,a831)),x71793),f327(f327(f297(x71791),x71792),f176(f841(x71791,a831)))),f176(f841(x71791,a831))) % 153.71/153.55 [7180]~P97(x71801)+~P134(f327(f66(x71801),x71803))+E(f16(x71801,f327(f327(f297(x71801),x71802),x71803)),x71802)+~E(f327(f327(f3(f841(x71801,a831)),x71803),f327(f327(f297(x71801),x71802),f176(f841(x71801,a831)))),f176(f841(x71801,a831))) % 153.71/153.55 [7181]~P97(x71811)+~P134(f327(f66(x71811),x71813))+E(f17(x71811,f327(f327(f297(x71811),x71812),x71813)),x71812)+~E(f327(f327(f3(f841(x71811,a831)),x71813),f327(f327(f297(x71811),x71812),f176(f841(x71811,a831)))),f176(f841(x71811,a831))) % 153.71/153.55 [7182]~P89(x71821)+~P134(f327(f66(x71821),x71823))+E(f12(x71821,f327(f327(f297(x71821),x71822),x71823)),x71822)+~E(f327(f327(f3(f841(x71821,a831)),x71823),f327(f327(f297(x71821),x71822),f176(f841(x71821,a831)))),f176(f841(x71821,a831))) % 153.71/153.55 [7183]~P60(x71831)+P134(f327(f327(f228(x71831),x71832),f2(x71831)))+P134(f327(f327(f228(x71831),f2(x71831)),x71833))+~P134(f327(f327(f228(x71831),f2(x71831)),f327(f327(f278(x71831),x71833),x71832))) % 153.71/153.55 [7184]~P60(x71841)+P134(f327(f327(f228(x71841),x71842),f2(x71841)))+P134(f327(f327(f228(x71841),f2(x71841)),x71843))+~P134(f327(f327(f228(x71841),f2(x71841)),f327(f327(f278(x71841),x71842),x71843))) % 153.71/153.55 [7185]~P60(x71851)+P134(f327(f327(f228(x71851),x71852),f2(x71851)))+P134(f327(f327(f228(x71851),f2(x71851)),x71852))+~P134(f327(f327(f228(x71851),f2(x71851)),f327(f327(f278(x71851),x71853),x71852))) % 153.71/153.55 [7186]~P60(x71861)+P134(f327(f327(f228(x71861),x71862),f2(x71861)))+P134(f327(f327(f228(x71861),f2(x71861)),x71862))+~P134(f327(f327(f228(x71861),f2(x71861)),f327(f327(f278(x71861),x71862),x71863))) % 153.71/153.55 [7187]~P115(x71871)+P134(f327(f327(f227(x71871),x71872),f2(x71871)))+P134(f327(f327(f227(x71871),f2(x71871)),x71873))+~P134(f327(f327(f227(x71871),f2(x71871)),f327(f327(f85(x71871),x71873),x71872))) % 153.71/153.55 [7188]~P115(x71881)+P134(f327(f327(f227(x71881),x71882),f2(x71881)))+P134(f327(f327(f227(x71881),f2(x71881)),x71883))+~P134(f327(f327(f227(x71881),f2(x71881)),f327(f327(f85(x71881),x71882),x71883))) % 153.71/153.55 [7189]~P60(x71891)+P134(f327(f327(f227(x71891),x71892),f2(x71891)))+P134(f327(f327(f227(x71891),f2(x71891)),x71893))+~P134(f327(f327(f227(x71891),f2(x71891)),f327(f327(f278(x71891),x71893),x71892))) % 153.71/153.55 [7190]~P60(x71901)+P134(f327(f327(f227(x71901),x71902),f2(x71901)))+P134(f327(f327(f227(x71901),f2(x71901)),x71903))+~P134(f327(f327(f227(x71901),f2(x71901)),f327(f327(f278(x71901),x71902),x71903))) % 153.71/153.55 [7191]~P115(x71911)+P134(f327(f327(f227(x71911),x71912),f2(x71911)))+P134(f327(f327(f227(x71911),f2(x71911)),x71912))+~P134(f327(f327(f227(x71911),f2(x71911)),f327(f327(f85(x71911),x71913),x71912))) % 153.71/153.55 [7192]~P115(x71921)+P134(f327(f327(f227(x71921),x71922),f2(x71921)))+P134(f327(f327(f227(x71921),f2(x71921)),x71922))+~P134(f327(f327(f227(x71921),f2(x71921)),f327(f327(f85(x71921),x71922),x71923))) % 153.71/153.55 [7193]~P60(x71931)+P134(f327(f327(f227(x71931),x71932),f2(x71931)))+P134(f327(f327(f227(x71931),f2(x71931)),x71932))+~P134(f327(f327(f227(x71931),f2(x71931)),f327(f327(f278(x71931),x71933),x71932))) % 153.71/153.55 [7194]~P60(x71941)+P134(f327(f327(f227(x71941),x71942),f2(x71941)))+P134(f327(f327(f227(x71941),f2(x71941)),x71942))+~P134(f327(f327(f227(x71941),f2(x71941)),f327(f327(f278(x71941),x71942),x71943))) % 153.71/153.55 [7278]~P134(f327(f327(f274(a834),x72781),x72783))+P134(f327(f327(f274(a834),x72781),x72782))+~P134(f327(f327(f227(a834),x72782),x72783))+~P134(f327(f327(f274(a834),x72781),f327(f327(f3(a834),x72783),x72782))) % 153.71/153.55 [7279]~P134(f327(f327(f274(a834),x72791),x72793))+P134(f327(f327(f274(a834),x72791),x72792))+~P134(f327(f327(f227(a834),x72793),x72792))+~P134(f327(f327(f274(a834),x72791),f327(f327(f3(a834),x72792),x72793))) % 153.71/153.55 [7294]~E(f327(f327(f101(f841(x72941,a831)),f327(f154(x72941),x72942)),f327(f154(x72941),x72943)),f176(f841(x72941,a831)))+~P134(f327(f124(x72941),x72943))+~P134(f327(f124(x72941),x72942))+P134(f327(f124(x72941),f327(f327(f122(x72941),x72942),x72943))) % 153.71/153.55 [7295]~P97(x72951)+~P134(f327(f66(x72951),x72953))+E(f13(x72951,f175(x72951),f327(f327(f297(x72951),x72952),x72953)),x72952)+~E(f327(f327(f3(f841(x72951,a831)),x72953),f327(f327(f297(x72951),x72952),f176(f841(x72951,a831)))),f176(f841(x72951,a831))) % 153.71/153.55 [7296]~P97(x72961)+~P134(f327(f66(x72961),x72963))+E(f14(x72961,f231(x72961),f327(f327(f297(x72961),x72962),x72963)),x72962)+~E(f327(f327(f3(f841(x72961,a831)),x72963),f327(f327(f297(x72961),x72962),f176(f841(x72961,a831)))),f176(f841(x72961,a831))) % 153.71/153.55 [7313]~P107(x73131)+~P134(f327(f327(f228(x73131),x73132),x73133))+~P134(f327(f327(f228(x73131),f327(f83(x73131),x73132)),x73133))+P134(f327(f327(f228(x73131),f327(f79(x73131),x73132)),x73133)) % 153.71/153.55 [7315]~P76(x73151)+~P134(f327(f327(f227(x73151),x73152),x73153))+~P134(f327(f327(f227(x73151),f327(f83(x73151),x73152)),x73153))+P134(f327(f327(f227(x73151),f327(f79(x73151),x73152)),x73153)) % 153.71/153.55 [7383]~P120(x73831)+P134(f327(f327(f228(x73831),f2(x73831)),x73832))+~P134(f327(f327(f228(x73831),f2(x73831)),x73833))+~P134(f327(f327(f228(x73831),f2(x73831)),f327(f327(f85(x73831),x73833),x73832))) % 153.71/153.55 [7384]~P120(x73841)+P134(f327(f327(f228(x73841),f2(x73841)),x73842))+~P134(f327(f327(f228(x73841),f2(x73841)),x73843))+~P134(f327(f327(f228(x73841),f2(x73841)),f327(f327(f85(x73841),x73842),x73843))) % 153.71/153.55 [7688]E(x76881,x76882)+~P134(f327(f66(x76883),x76881))+~P134(f327(f327(f227(a834),f327(f43(x76883),x76881)),f327(f43(x76883),x76882)))+~P134(f327(f327(f227(f841(x76883,a831)),x76882),x76881)) % 153.71/153.55 [7835]~P134(f327(f327(f228(a1),x78351),f2(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x78352))+~P134(f327(f327(f227(a1),x78352),x78353))+P134(f327(f327(f227(a1),f327(f327(f44(a1),x78351),x78352)),f327(f327(f44(a1),x78351),x78353))) % 153.71/153.55 [7846]~P134(f327(f327(f228(a1),f2(a1)),x78463))+~P134(f327(f327(f227(a1),f2(a1)),x78461))+~P134(f327(f327(f227(a1),x78463),x78462))+P134(f327(f327(f227(a1),f327(f327(f44(a1),x78461),x78462)),f327(f327(f44(a1),x78461),x78463))) % 153.71/153.55 [7975]E(f327(x79751,f793(x79752,x79751,x79753)),x79752)+~P134(f327(f327(f227(a1),x79752),f327(x79751,x79753)))+P134(f327(f327(f228(a834),f794(x79752,x79751,x79753)),x79753))+~P134(f327(f327(f227(a1),f327(x79751,f2(a834))),x79752)) % 153.71/153.55 [7976]E(f327(x79761,f795(x79762,x79761,x79763)),x79762)+~P134(f327(f327(f227(a1),x79762),f327(x79761,x79763)))+P134(f327(f327(f228(a834),f796(x79762,x79761,x79763)),x79763))+~P134(f327(f327(f227(a1),f327(x79761,f2(a834))),x79762)) % 153.71/153.55 [8072]~P134(f327(f66(x80721),x80723))+~P134(f327(f327(f228(a834),f327(f43(x80721),x80722)),f327(f43(x80721),x80723)))+~P134(f327(f327(f227(f841(x80721,a831)),x80722),x80723))+P134(f327(f327(f228(f841(x80721,a831)),x80722),x80723)) % 153.71/153.55 [8101]E(f327(f327(f3(a1),f425(x81013,x81011,x81012)),f414(x81013,x81011,x81012)),x81011)+E(f327(f327(f84(a1),x81011),x81012),x81011)+~P134(f327(f327(f228(a1),f2(a1)),x81012))+~P134(f327(f327(f329(a1),f327(f327(f84(a1),x81011),f82(a1))),x81013)) % 153.71/153.55 [8102]E(f327(f327(f84(a1),f415(x81023,x81021,x81022)),f416(x81023,x81021,x81022)),x81021)+E(f327(f327(f3(a1),x81021),x81022),x81021)+~P134(f327(f327(f228(a1),f2(a1)),x81022))+~P134(f327(f327(f329(a1),f327(f327(f3(a1),x81021),f82(a1))),x81023)) % 153.71/153.55 [8153]~P134(f327(f327(f227(a834),x81533),x81531))+P134(f327(f327(f228(a834),x81531),x81532))+~P134(f327(f327(f227(a834),x81533),x81532))+~P134(f327(f327(f228(a834),f327(f327(f3(a834),x81531),x81533)),f327(f327(f3(a834),x81532),x81533))) % 153.71/153.55 [8154]~P134(f327(f327(f227(a834),x81543),x81541))+P134(f327(f327(f227(a834),x81541),x81542))+~P134(f327(f327(f227(a834),x81543),x81542))+~P134(f327(f327(f227(a834),f327(f327(f3(a834),x81541),x81543)),f327(f327(f3(a834),x81542),x81543))) % 153.71/153.55 [8170]~P97(x81702)+E(x81701,f112(x81702))+~P18(x81702,f327(f151(x81702),x81701))+E(f327(f128(x81702,x81702,f327(f9(x81702,x81702,x81702),f175(x81702)),x81703),f327(f151(x81702),x81701)),f327(f327(f175(x81702),f327(f327(f146(x81702),x81701),f2(a834))),x81703)) % 153.71/153.55 [8233]E(f327(f327(f84(a1),x82331),x82332),x82331)+~P134(f327(f327(f228(a1),f2(a1)),x82332))+P134(f327(f327(f329(a1),f425(x82333,x82331,x82332)),x82333))+~P134(f327(f327(f329(a1),f327(f327(f84(a1),x82331),f82(a1))),x82333)) % 153.71/153.55 [8234]E(f327(f327(f3(a1),x82341),x82342),x82341)+~P134(f327(f327(f228(a1),f2(a1)),x82342))+P134(f327(f327(f329(a1),f415(x82343,x82341,x82342)),x82343))+~P134(f327(f327(f329(a1),f327(f327(f3(a1),x82341),f82(a1))),x82343)) % 153.71/153.55 [8309]~P134(f327(f327(f227(a1),x83091),f327(x83092,x83093)))+P134(f327(f327(f227(a834),f793(x83091,x83092,x83093)),x83093))+P134(f327(f327(f228(a834),f794(x83091,x83092,x83093)),x83093))+~P134(f327(f327(f227(a1),f327(x83092,f2(a834))),x83091)) % 153.71/153.55 [8310]~P134(f327(f327(f227(a1),x83101),f327(x83102,x83103)))+P134(f327(f327(f227(a834),f795(x83101,x83102,x83103)),x83103))+P134(f327(f327(f228(a834),f796(x83101,x83102,x83103)),x83103))+~P134(f327(f327(f227(a1),f327(x83102,f2(a834))),x83101)) % 153.71/153.55 [8378]E(f327(f327(f84(a1),x83781),x83782),x83781)+~P134(f327(f327(f228(a1),f2(a1)),x83782))+P134(f327(f327(f329(a1),f414(x83783,x83781,x83782)),f290(a1,f82(a1),x83782)))+~P134(f327(f327(f329(a1),f327(f327(f84(a1),x83781),f82(a1))),x83783)) % 153.71/153.55 [8379]E(f327(f327(f3(a1),x83791),x83792),x83791)+~P134(f327(f327(f228(a1),f2(a1)),x83792))+P134(f327(f327(f329(a1),f416(x83793,x83791,x83792)),f290(a1,f82(a1),x83792)))+~P134(f327(f327(f329(a1),f327(f327(f3(a1),x83791),f82(a1))),x83793)) % 153.71/153.55 [8501]~P114(x85011)+~P134(f327(f327(f228(x85011),x85012),f82(x85011)))+~P134(f327(f327(f228(x85011),f2(x85011)),x85012))+P134(f327(f327(f228(x85011),f327(f327(f85(x85011),x85012),f327(f327(f237(x85011),x85012),x85013))),f327(f327(f237(x85011),x85012),x85013))) % 153.71/153.55 [8576]~P134(f327(x85761,x85762))+P134(f327(x85761,f2(a834)))+~P134(f327(f327(f228(a834),x85762),x85763))+~P134(f327(x85761,f53(a834,f327(a111,f789(x85762,x85761,x85763)),x85763))) % 153.71/153.55 [8707]E(f814(x87071,x87072,x87073),f2(a834))+P134(f327(f327(x87071,x87073),x87072))+P134(f327(f327(x87071,f814(x87071,x87072,x87073)),f53(a834,f813(x87071,x87072,x87073),f814(x87071,x87072,x87073))))+~P134(f327(f316(f840(a834,a834),a209),f327(f327(f236(a834,a834),x87073),x87072))) % 153.71/153.55 [8739]~P28(x87391,x87391,x87392,x87393)+E(f327(f298(x87391,x87391,x87392),x87393),x87393)+~P134(f327(f66(x87391),x87393))+~P134(f327(f327(f227(f841(x87391,a831)),f327(f298(x87391,x87391,x87392),x87393)),x87393)) % 153.71/153.55 [8953]P134(f327(f327(x89531,x89532),x89533))+~P134(f327(f327(f228(a1),f812(x89531,x89533,x89532)),f2(a1)))+P134(f327(f327(x89531,f327(f83(a1),f811(x89531,x89533,x89532))),f327(f83(a1),f812(x89531,x89533,x89532))))+~P134(f327(f316(f840(a1,a1),a211),f327(f327(f236(a1,a1),x89532),x89533))) % 153.71/153.55 [9111]P134(f327(f327(x91111,x91112),x91113))+P134(f327(f327(x91111,f327(f327(f84(a1),f380(x91111,x91113,x91112)),f82(a1))),f383(x91111,x91113,x91112)))+~P134(f327(f327(f227(a1),f380(x91111,x91113,x91112)),f383(x91111,x91113,x91112)))+~P134(f327(f316(f840(a1,a1),a164),f327(f327(f236(a1,a1),x91112),x91113))) % 153.71/153.55 [9785]E(f327(x97851,f793(x97852,x97851,x97853)),x97852)+~P134(f327(f327(f227(a1),x97852),f327(x97851,x97853)))+~P134(f327(f327(f227(a1),f327(f79(a1),f327(f327(f3(a1),f327(x97851,f327(f327(f84(a834),f794(x97852,x97851,x97853)),f82(a834)))),f327(x97851,f794(x97852,x97851,x97853))))),f82(a1)))+~P134(f327(f327(f227(a1),f327(x97851,f2(a834))),x97852)) % 153.71/153.55 [9786]E(f327(x97861,f795(x97862,x97861,x97863)),x97862)+~P134(f327(f327(f227(a1),x97862),f327(x97861,x97863)))+~P134(f327(f327(f227(a1),f327(f79(a1),f327(f327(f3(a1),f327(x97861,f327(f327(f84(a834),f796(x97862,x97861,x97863)),f82(a834)))),f327(x97861,f796(x97862,x97861,x97863))))),f82(a1)))+~P134(f327(f327(f227(a1),f327(x97861,f2(a834))),x97862)) % 153.71/153.55 [9790]~P134(f327(f327(f227(a1),x97901),f327(x97902,x97903)))+~P134(f327(f327(f227(a1),f327(f79(a1),f327(f327(f3(a1),f327(x97902,f327(f327(f84(a834),f794(x97901,x97902,x97903)),f82(a834)))),f327(x97902,f794(x97901,x97902,x97903))))),f82(a1)))+P134(f327(f327(f227(a834),f793(x97901,x97902,x97903)),x97903))+~P134(f327(f327(f227(a1),f327(x97902,f2(a834))),x97901)) % 153.71/153.55 [9791]~P134(f327(f327(f227(a1),x97911),f327(x97912,x97913)))+~P134(f327(f327(f227(a1),f327(f79(a1),f327(f327(f3(a1),f327(x97912,f327(f327(f84(a834),f796(x97911,x97912,x97913)),f82(a834)))),f327(x97912,f796(x97911,x97912,x97913))))),f82(a1)))+P134(f327(f327(f227(a834),f795(x97911,x97912,x97913)),x97913))+~P134(f327(f327(f227(a1),f327(x97912,f2(a834))),x97911)) % 153.71/153.55 [9843]E(x98431,x98432)+~E(f327(f128(f835(x98433),f835(x98433),f122(x98433),f112(x98433)),x98431),f327(f128(f835(x98433),f835(x98433),f122(x98433),f112(x98433)),x98432))+~E(f327(f177(f835(f835(x98433))),x98431),f327(f177(f835(f835(x98433))),x98432))+~P134(f327(f327(f246(f835(x98433),f835(x98433),a831),f327(f327(f9(f835(x98433),f841(f835(x98433),a834),f841(f835(x98433),a831)),f327(f327(f10(f841(a834,a831),f841(f841(f835(x98433),a834),f841(f835(x98433),a831)),f835(x98433)),f10(a834,a831,f835(x98433))),f327(f327(f10(a834,f841(a834,a831),f835(x98433)),a324),f177(f835(x98433))))),f177(f835(x98433)))),f754(x98431,x98432,x98433))) % 153.71/153.55 [9844]E(x98441,x98442)+~E(f327(f128(f835(x98443),f835(x98443),f122(x98443),f112(x98443)),x98441),f327(f128(f835(x98443),f835(x98443),f122(x98443),f112(x98443)),x98442))+~E(f327(f177(f835(f835(x98443))),x98441),f327(f177(f835(f835(x98443))),x98442))+~P134(f327(f327(f246(f835(x98443),f835(x98443),a831),f327(f327(f9(f835(x98443),f841(f835(x98443),a834),f841(f835(x98443),a831)),f327(f327(f10(f841(a834,a831),f841(f841(f835(x98443),a834),f841(f835(x98443),a831)),f835(x98443)),f10(a834,a831,f835(x98443))),f327(f327(f10(a834,f841(a834,a831),f835(x98443)),a324),f177(f835(x98443))))),f177(f835(x98443)))),f755(x98442,x98441,x98443))) % 153.71/153.55 [6682]~E(f82(a834),f2(a834))+~P134(f327(f66(x66821),x66823))+~P134(f327(f66(x66821),x66822))+E(f327(f327(f84(a834),f327(f43(x66821),x66822)),f327(f43(x66821),x66823)),f327(f43(x66821),f327(f327(f100(f841(x66821,a831)),x66822),x66823))) % 153.71/153.55 [7106]~P97(x71061)+~P134(f327(f66(x71061),x71062))+~P134(f327(f327(f329(x71061),x71063),x71062))+P134(f327(f327(f227(x71061),f327(f68(x71061,f231(x71061)),x71062)),x71063)) % 153.71/153.55 [7107]~P95(x71071)+~P134(f327(f66(x71071),x71072))+~P134(f327(f327(f329(x71071),x71073),x71072))+P134(f327(f327(f227(x71071),f327(f68(x71071,f101(x71071)),x71072)),x71073)) % 153.71/153.55 [7380]~P134(f327(f66(x73801),x73803))+~P134(f327(f66(x73801),x73802))+~E(f327(f327(f101(f841(x73801,a831)),x73802),x73803),f176(f841(x73801,a831)))+E(f327(f327(f84(a834),f327(f43(x73801),x73802)),f327(f43(x73801),x73803)),f327(f43(x73801),f327(f327(f100(f841(x73801,a831)),x73802),x73803))) % 153.71/153.55 [8159]~P33(x81591,x81593)+~P33(x81591,x81592)+~E(f327(f327(f101(f841(x81591,a831)),f327(f256(x81591,x81591),x81592)),f327(f254(x81591,x81591),x81593)),f176(f841(x81591,a831)))+P33(x81591,f327(f327(f100(f841(f840(x81591,x81591),a831)),x81592),x81593)) % 153.71/153.55 [8246]E(x82461,f327(f327(f44(a834),x82462),x82463))+~P134(f327(f327(f228(a834),f2(a834)),x82463))+~P134(f327(f327(f228(a834),x82462),f327(f327(f85(a834),x82463),f327(a111,x82461))))+~P134(f327(f327(f227(a834),f327(f327(f85(a834),x82463),x82461)),x82462)) % 153.71/153.55 [8376]~P134(f327(f66(x83761),x83762))+~P134(f327(f66(x83761),x83763))+E(f327(f327(f84(a834),f327(f43(x83761),x83762)),f327(f43(x83761),x83763)),f327(f43(x83761),f327(f327(f100(f841(x83761,a831)),x83762),x83763)))+P134(f327(f327(f329(x83761),f489(x83763,x83762,x83761)),f327(f327(f101(f841(x83761,a831)),x83762),x83763))) % 153.71/153.55 [8718]~P115(x87182)+~E(x87181,f2(x87182))+~E(x87183,f2(x87182))+~P134(f327(f327(f228(x87182),f2(x87182)),f327(f327(f84(x87182),f327(f327(f85(x87182),x87183),x87183)),f327(f327(f85(x87182),x87181),x87181)))) % 153.71/153.55 [9184]~P33(x91841,x91843)+~P33(x91841,x91842)+P33(x91841,f327(f327(f100(f841(f840(x91841,x91841),a831)),x91842),x91843))+~P134(f327(f327(f227(f841(f840(x91841,x91841),a831)),f327(f327(f276(x91841,x91841,x91841),x91842),x91843)),x91842)) % 153.71/153.55 [9307]~P134(f327(x93071,x93073))+~P134(f327(f66(x93072),x93073))+P134(f327(x93071,f176(f841(x93072,a831))))+~P134(f327(x93071,f327(f327(f3(f841(x93072,a831)),f466(x93071,x93073,x93072)),f327(f327(f297(x93072),f467(x93071,x93073,x93072)),f176(f841(x93072,a831)))))) % 153.71/153.55 [8530]~P134(f327(f327(f228(a1),f2(a1)),x85303))+P134(f327(f327(f227(a1),f2(a1)),x85301))+~P134(f327(f327(f228(a1),x85302),x85303))+~P134(f327(f327(f227(a1),f2(a1)),f327(f327(f84(a1),f327(f327(f85(a1),x85303),x85301)),x85302))) % 153.71/153.55 [8550]~P89(x85501)+~P134(f327(f66(x85501),x85502))+E(f327(f327(f3(f841(x85501,a831)),x85502),f327(f327(f297(x85501),x85503),f176(f841(x85501,a831)))),f176(f841(x85501,a831)))+E(f327(f327(f100(x85501),x85503),f15(x85501,f327(f327(f3(f841(x85501,a831)),x85502),f327(f327(f297(x85501),x85503),f176(f841(x85501,a831)))))),f15(x85501,f327(f327(f297(x85501),x85503),x85502))) % 153.71/153.55 [8551]~P97(x85511)+~P134(f327(f66(x85511),x85512))+E(f327(f327(f3(f841(x85511,a831)),x85512),f327(f327(f297(x85511),x85513),f176(f841(x85511,a831)))),f176(f841(x85511,a831)))+E(f327(f327(f175(x85511),x85513),f16(x85511,f327(f327(f3(f841(x85511,a831)),x85512),f327(f327(f297(x85511),x85513),f176(f841(x85511,a831)))))),f16(x85511,f327(f327(f297(x85511),x85513),x85512))) % 153.71/153.55 [8552]~P97(x85521)+~P134(f327(f66(x85521),x85522))+E(f327(f327(f3(f841(x85521,a831)),x85522),f327(f327(f297(x85521),x85523),f176(f841(x85521,a831)))),f176(f841(x85521,a831)))+E(f327(f327(f231(x85521),x85523),f17(x85521,f327(f327(f3(f841(x85521,a831)),x85522),f327(f327(f297(x85521),x85523),f176(f841(x85521,a831)))))),f17(x85521,f327(f327(f297(x85521),x85523),x85522))) % 153.71/153.55 [8553]~P89(x85531)+~P134(f327(f66(x85531),x85532))+E(f327(f327(f3(f841(x85531,a831)),x85532),f327(f327(f297(x85531),x85533),f176(f841(x85531,a831)))),f176(f841(x85531,a831)))+E(f327(f327(f101(x85531),x85533),f12(x85531,f327(f327(f3(f841(x85531,a831)),x85532),f327(f327(f297(x85531),x85533),f176(f841(x85531,a831)))))),f12(x85531,f327(f327(f297(x85531),x85533),x85532))) % 153.71/153.55 [8616]~P97(x86161)+~P134(f327(f66(x86161),x86162))+E(f327(f327(f3(f841(x86161,a831)),x86162),f327(f327(f297(x86161),x86163),f176(f841(x86161,a831)))),f176(f841(x86161,a831)))+E(f327(f327(f175(x86161),x86163),f13(x86161,f175(x86161),f327(f327(f3(f841(x86161,a831)),x86162),f327(f327(f297(x86161),x86163),f176(f841(x86161,a831)))))),f13(x86161,f175(x86161),f327(f327(f297(x86161),x86163),x86162))) % 153.71/153.55 [8617]~P97(x86171)+~P134(f327(f66(x86171),x86172))+E(f327(f327(f3(f841(x86171,a831)),x86172),f327(f327(f297(x86171),x86173),f176(f841(x86171,a831)))),f176(f841(x86171,a831)))+E(f327(f327(f231(x86171),x86173),f14(x86171,f231(x86171),f327(f327(f3(f841(x86171,a831)),x86172),f327(f327(f297(x86171),x86173),f176(f841(x86171,a831)))))),f14(x86171,f231(x86171),f327(f327(f297(x86171),x86173),x86172))) % 153.71/153.55 [9126]E(x91261,x91262)+~E(f327(f128(f835(x91263),f835(x91263),f122(x91263),f112(x91263)),x91261),f327(f128(f835(x91263),f835(x91263),f122(x91263),f112(x91263)),x91262))+~E(f327(f177(f835(f835(x91263))),x91261),f327(f177(f835(f835(x91263))),x91262))+P134(f327(f327(f329(f840(f835(x91263),f835(x91263))),f754(x91261,x91262,x91263)),f327(f154(f840(f835(x91263),f835(x91263))),f327(f327(f163(f835(x91263),f835(x91263)),x91262),x91261)))) % 153.71/153.55 [9127]E(x91271,x91272)+~E(f327(f128(f835(x91273),f835(x91273),f122(x91273),f112(x91273)),x91271),f327(f128(f835(x91273),f835(x91273),f122(x91273),f112(x91273)),x91272))+~E(f327(f177(f835(f835(x91273))),x91271),f327(f177(f835(f835(x91273))),x91272))+P134(f327(f327(f329(f840(f835(x91273),f835(x91273))),f755(x91272,x91271,x91273)),f327(f154(f840(f835(x91273),f835(x91273))),f327(f327(f163(f835(x91273),f835(x91273)),x91271),x91272)))) % 153.71/153.55 [9930]~P70(x99302)+E(x99301,f176(f841(x99302,a831)))+~P134(f327(f66(x99302),x99301))+E(f16(x99302,f327(f251(x99302),f327(f327(f10(f841(x99302,a831),a831,x99302),f91(x99302)),f327(f327(f9(x99302,f841(x99302,a831),f841(x99302,a831)),f327(f327(f10(f841(x99302,f841(a831,a831)),f841(f841(x99302,a831),f841(x99302,a831)),x99302),f20(x99302,a831,a831)),f327(f327(f10(f841(x99302,a831),f841(x99302,f841(a831,a831)),x99302),f327(f10(a831,f841(a831,a831),x99302),a325)),f327(f327(f9(x99302,f841(x99302,x99302),f841(x99302,a831)),f327(f327(f10(f841(x99302,a831),f841(f841(x99302,x99302),f841(x99302,a831)),x99302),f10(x99302,a831,x99302)),a324)),f327(f84(x99302),x99303))))),f327(f327(f9(x99302,f841(x99302,a831),a831),f329(x99302)),x99301))))),f327(f327(f84(x99302),x99303),f16(x99302,x99301))) % 153.71/153.55 [9931]~P70(x99312)+E(x99311,f176(f841(x99312,a831)))+~P134(f327(f66(x99312),x99311))+E(f17(x99312,f327(f251(x99312),f327(f327(f10(f841(x99312,a831),a831,x99312),f91(x99312)),f327(f327(f9(x99312,f841(x99312,a831),f841(x99312,a831)),f327(f327(f10(f841(x99312,f841(a831,a831)),f841(f841(x99312,a831),f841(x99312,a831)),x99312),f20(x99312,a831,a831)),f327(f327(f10(f841(x99312,a831),f841(x99312,f841(a831,a831)),x99312),f327(f10(a831,f841(a831,a831),x99312),a325)),f327(f327(f9(x99312,f841(x99312,x99312),f841(x99312,a831)),f327(f327(f10(f841(x99312,a831),f841(f841(x99312,x99312),f841(x99312,a831)),x99312),f10(x99312,a831,x99312)),a324)),f327(f84(x99312),x99313))))),f327(f327(f9(x99312,f841(x99312,a831),a831),f329(x99312)),x99311))))),f327(f327(f84(x99312),x99313),f17(x99312,x99311))) % 153.71/153.55 [9932]~P93(x99322)+E(x99321,f176(f841(x99322,a831)))+~P134(f327(f66(x99322),x99321))+E(f12(x99322,f327(f251(x99322),f327(f327(f10(f841(x99322,a831),a831,x99322),f91(x99322)),f327(f327(f9(x99322,f841(x99322,a831),f841(x99322,a831)),f327(f327(f10(f841(x99322,f841(a831,a831)),f841(f841(x99322,a831),f841(x99322,a831)),x99322),f20(x99322,a831,a831)),f327(f327(f10(f841(x99322,a831),f841(x99322,f841(a831,a831)),x99322),f327(f10(a831,f841(a831,a831),x99322),a325)),f327(f327(f9(x99322,f841(x99322,x99322),f841(x99322,a831)),f327(f327(f10(f841(x99322,a831),f841(f841(x99322,x99322),f841(x99322,a831)),x99322),f10(x99322,a831,x99322)),a324)),f327(f100(x99322),x99323))))),f327(f327(f9(x99322,f841(x99322,a831),a831),f329(x99322)),x99321))))),f327(f327(f100(x99322),x99323),f12(x99322,x99321))) % 153.71/153.55 [9933]~P93(x99332)+E(x99331,f176(f841(x99332,a831)))+~P134(f327(f66(x99332),x99331))+E(f15(x99332,f327(f251(x99332),f327(f327(f10(f841(x99332,a831),a831,x99332),f91(x99332)),f327(f327(f9(x99332,f841(x99332,a831),f841(x99332,a831)),f327(f327(f10(f841(x99332,f841(a831,a831)),f841(f841(x99332,a831),f841(x99332,a831)),x99332),f20(x99332,a831,a831)),f327(f327(f10(f841(x99332,a831),f841(x99332,f841(a831,a831)),x99332),f327(f10(a831,f841(a831,a831),x99332),a325)),f327(f327(f9(x99332,f841(x99332,x99332),f841(x99332,a831)),f327(f327(f10(f841(x99332,a831),f841(f841(x99332,x99332),f841(x99332,a831)),x99332),f10(x99332,a831,x99332)),a324)),f327(f101(x99332),x99333))))),f327(f327(f9(x99332,f841(x99332,a831),a831),f329(x99332)),x99331))))),f327(f327(f101(x99332),x99333),f15(x99332,x99331))) % 153.71/153.55 [9934]~P97(x99342)+E(x99341,f176(f841(x99342,a831)))+~P134(f327(f66(x99342),x99341))+E(f13(x99342,f175(x99342),f327(f251(x99342),f327(f327(f10(f841(x99342,a831),a831,x99342),f91(x99342)),f327(f327(f9(x99342,f841(x99342,a831),f841(x99342,a831)),f327(f327(f10(f841(x99342,f841(a831,a831)),f841(f841(x99342,a831),f841(x99342,a831)),x99342),f20(x99342,a831,a831)),f327(f327(f10(f841(x99342,a831),f841(x99342,f841(a831,a831)),x99342),f327(f10(a831,f841(a831,a831),x99342),a325)),f327(f327(f9(x99342,f841(x99342,x99342),f841(x99342,a831)),f327(f327(f10(f841(x99342,a831),f841(f841(x99342,x99342),f841(x99342,a831)),x99342),f10(x99342,a831,x99342)),a324)),f327(f231(x99342),x99343))))),f327(f327(f9(x99342,f841(x99342,a831),a831),f329(x99342)),x99341))))),f327(f327(f231(x99342),x99343),f13(x99342,f175(x99342),x99341))) % 153.71/153.55 [9935]~P97(x99352)+E(x99351,f176(f841(x99352,a831)))+~P134(f327(f66(x99352),x99351))+E(f14(x99352,f231(x99352),f327(f251(x99352),f327(f327(f10(f841(x99352,a831),a831,x99352),f91(x99352)),f327(f327(f9(x99352,f841(x99352,a831),f841(x99352,a831)),f327(f327(f10(f841(x99352,f841(a831,a831)),f841(f841(x99352,a831),f841(x99352,a831)),x99352),f20(x99352,a831,a831)),f327(f327(f10(f841(x99352,a831),f841(x99352,f841(a831,a831)),x99352),f327(f10(a831,f841(a831,a831),x99352),a325)),f327(f327(f9(x99352,f841(x99352,x99352),f841(x99352,a831)),f327(f327(f10(f841(x99352,a831),f841(f841(x99352,x99352),f841(x99352,a831)),x99352),f10(x99352,a831,x99352)),a324)),f327(f175(x99352),x99353))))),f327(f327(f9(x99352,f841(x99352,a831),a831),f329(x99352)),x99351))))),f327(f327(f175(x99352),x99353),f14(x99352,f231(x99352),x99351))) % 153.71/153.55 [9669]~P107(x96691)+~E(x96693,f2(x96691))+~E(x96692,f2(x96691))+E(f327(f327(f84(x96691),f327(f327(f237(x96691),x96692),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x96691),x96693),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f2(x96691)) % 153.71/153.55 [9828]~P114(x98281)+~P134(f327(f327(f227(x98281),f2(x98281)),x98283))+P134(f327(f327(f227(x98281),x98282),x98283))+~P134(f327(f327(f227(x98281),f327(f327(f237(x98281),x98282),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x98281),x98283),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))))) % 153.71/153.55 [9871]~P107(x98712)+~E(x98711,f2(x98712))+~E(x98713,f2(x98712))+~P134(f327(f327(f228(x98712),f2(x98712)),f327(f327(f84(x98712),f327(f327(f237(x98712),x98713),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))),f327(f327(f237(x98712),x98711),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))))) % 153.71/153.55 [9098]E(x90981,x90982)+~E(f735(x90981,x90982,x90984,x90983),f737(x90981,x90982,x90984,x90983))+P134(f327(f327(f329(f840(f835(x90983),f835(x90983))),f327(f327(f236(f835(x90983),f835(x90983)),x90982),x90981)),f133(x90983,x90984)))+P134(f327(f327(f329(f840(f835(x90983),f835(x90983))),f327(f327(f236(f835(x90983),f835(x90983)),x90981),x90982)),f133(x90983,x90984))) % 153.71/153.55 [4690]~P58(x46902)+~E(x46904,f2(x46902))+~E(x46901,f2(x46902))+E(x46901,f327(f327(f278(x46902),x46903),x46904)) % 153.71/153.55 [4691]~P58(x46911)+~E(x46913,f2(x46911))+~E(x46914,f2(x46911))+E(f327(f327(f278(x46911),x46912),x46913),x46914) % 153.71/153.55 [4803]~P58(x48032)+E(x48031,f2(x48032))+~E(x48033,f2(x48032))+~E(x48031,f327(f327(f278(x48032),x48034),x48033)) % 153.71/153.55 [4804]~P58(x48042)+E(x48041,f2(x48042))+~E(x48043,f2(x48042))+~E(f327(f327(f278(x48042),x48044),x48043),x48041) % 153.71/153.55 [4985]~P110(x49852)+E(x49851,f2(x49852))+~E(f327(f327(f278(x49852),x49853),x49851),x49854)+E(x49853,f327(f327(f85(x49852),x49854),x49851)) % 153.71/153.55 [4987]~P110(x49872)+E(x49871,f2(x49872))+~E(f327(f327(f85(x49872),x49873),x49871),x49874)+E(x49873,f327(f327(f278(x49872),x49874),x49871)) % 153.71/153.55 [4988]~P58(x49882)+E(x49881,f2(x49882))+~E(f327(f327(f278(x49882),x49883),x49881),x49884)+E(x49883,f327(f327(f85(x49882),x49884),x49881)) % 153.71/153.55 [4989]~P58(x49892)+E(x49891,f2(x49892))+~E(f327(f327(f85(x49892),x49893),x49891),x49894)+E(x49893,f327(f327(f278(x49892),x49894),x49891)) % 153.71/153.55 [4990]~P110(x49902)+E(x49901,f2(x49902))+~E(x49903,f327(f327(f278(x49902),x49904),x49901))+E(f327(f327(f85(x49902),x49903),x49901),x49904) % 153.71/153.55 [4992]~P110(x49922)+E(x49921,f2(x49922))+~E(x49923,f327(f327(f85(x49922),x49924),x49921))+E(f327(f327(f278(x49922),x49923),x49921),x49924) % 153.71/153.55 [4993]~P58(x49932)+E(x49931,f2(x49932))+~E(x49933,f327(f327(f278(x49932),x49934),x49931))+E(f327(f327(f85(x49932),x49933),x49931),x49934) % 153.71/153.55 [4994]~P58(x49942)+E(x49941,f2(x49942))+~E(x49943,f327(f327(f85(x49942),x49944),x49941))+E(f327(f327(f278(x49942),x49943),x49941),x49944) % 153.71/153.55 [5024]~P58(x50242)+~E(x50241,f2(x50242))+~E(f327(f327(f85(x50242),x50241),x50244),x50243)+E(x50241,f327(f327(f278(x50242),x50243),x50244)) % 153.71/153.55 [5025]~P58(x50251)+~E(x50254,f2(x50251))+~E(x50252,f327(f327(f85(x50251),x50254),x50253))+E(f327(f327(f278(x50251),x50252),x50253),x50254) % 153.71/153.55 [5094]~E(x50943,x50944)+~E(x50942,x50943)+~P96(x50941)+E(f290(x50941,x50942,x50943),f327(f327(f297(x50941),x50944),f176(f841(x50941,a831)))) % 153.71/153.55 [5290]~E(f130(x52902,x52901),x52904)+~E(f113(x52902,x52901),x52903)+E(x52901,f112(x52902))+E(f327(f327(f122(x52902),x52903),f327(f327(f136(x52902),x52904),f112(x52902))),x52901) % 153.71/153.55 [5933]~P114(x59333)+E(x59331,x59332)+~E(f327(f327(f237(x59333),x59334),x59331),f327(f327(f237(x59333),x59334),x59332))+~P134(f327(f327(f228(x59333),f82(x59333)),x59334)) % 153.71/153.55 [5934]E(x59341,x59342)+~E(f327(f327(f297(x59343),x59344),x59341),f327(f327(f297(x59343),x59344),x59342))+P134(f327(f327(f329(x59343),x59344),x59342))+P134(f327(f327(f329(x59343),x59344),x59341)) % 153.71/153.55 [5972]E(f327(x59721,x59722),f2(a834))+~E(f327(f327(f8(x59723,a834),x59721),x59724),f2(a834))+~P134(f327(f66(x59723),x59724))+~P134(f327(f327(f329(x59723),x59722),x59724)) % 153.71/153.55 [5973]E(f327(x59731,x59732),f82(a834))+~E(f327(f327(f11(x59733,a834),x59731),x59734),f82(a834))+~P134(f327(f66(x59733),x59734))+~P134(f327(f327(f329(x59733),x59732),x59734)) % 153.71/153.55 [6205]~P96(x62051)+~P134(f327(f327(f228(x62051),x62054),x62053))+P134(f327(f327(f228(x62051),x62052),x62053))+~P134(f327(f327(f228(x62051),x62052),x62054)) % 153.71/153.55 [6206]~P96(x62061)+~P134(f327(f327(f227(x62061),x62064),x62063))+P134(f327(f327(f228(x62061),x62062),x62063))+~P134(f327(f327(f228(x62061),x62062),x62064)) % 153.71/153.55 [6207]~P96(x62071)+~P134(f327(f327(f227(x62071),x62072),x62074))+P134(f327(f327(f228(x62071),x62072),x62073))+~P134(f327(f327(f228(x62071),x62074),x62073)) % 153.71/153.55 [6208]~P100(x62081)+~P134(f327(f327(f228(x62081),x62082),x62084))+P134(f327(f327(f228(x62081),x62082),x62083))+~P134(f327(f327(f228(x62081),x62084),x62083)) % 153.71/153.55 [6209]~P100(x62091)+~P134(f327(f327(f227(x62091),x62092),x62094))+P134(f327(f327(f228(x62091),x62092),x62093))+~P134(f327(f327(f228(x62091),x62094),x62093)) % 153.71/153.55 [6210]~P100(x62101)+~P134(f327(f327(f227(x62101),x62104),x62103))+P134(f327(f327(f228(x62101),x62102),x62103))+~P134(f327(f327(f228(x62101),x62102),x62104)) % 153.71/153.55 [6211]~P96(x62111)+~P134(f327(f327(f227(x62111),x62114),x62113))+P134(f327(f327(f227(x62111),x62112),x62113))+~P134(f327(f327(f227(x62111),x62112),x62114)) % 153.71/153.55 [6212]~P100(x62121)+~P134(f327(f327(f227(x62121),x62122),x62124))+P134(f327(f327(f227(x62121),x62122),x62123))+~P134(f327(f327(f227(x62121),x62124),x62123)) % 153.71/153.55 [6213]~P82(x62131)+~P134(f327(f327(f274(x62131),x62132),x62134))+P134(f327(f327(f274(x62131),x62132),x62133))+~P134(f327(f327(f274(x62131),x62134),x62133)) % 153.71/153.55 [6449]~P9(x64491)+~P134(f327(f327(f227(x64491),x64492),f46(x64491,x64494)))+P134(f327(f327(f227(x64491),x64492),x64493))+~P134(f327(f327(f329(x64491),x64493),x64494)) % 153.71/153.55 [6600]~P97(x66001)+~P18(x66001,f327(f327(f136(x66001),x66002),x66004))+~P134(f327(f327(f329(x66001),x66003),f327(f154(x66001),x66004)))+P134(f327(f327(f227(x66001),x66002),x66003)) % 153.71/153.55 [6691]~P9(x66911)+~P134(f327(f327(f227(x66911),f45(x66911,x66914)),x66913))+P134(f327(f327(f227(x66911),x66912),x66913))+~P134(f327(f327(f329(x66911),x66912),x66914)) % 153.71/153.55 [6841]~P7(x68411)+P134(f327(f327(f274(x68411),x68412),f53(x68411,x68413,x68414)))+~P134(f327(f327(f274(x68411),x68412),x68414))+~P134(f327(f327(f274(x68411),x68412),x68413)) % 153.71/153.55 [7109]~P97(x71091)+E(f327(f327(f100(f841(x71091,a831)),f327(f289(x71091,x71092),x71093)),f327(f289(x71091,x71093),x71094)),f327(f289(x71091,x71092),x71094))+~P134(f327(f327(f227(x71091),x71093),x71094))+~P134(f327(f327(f227(x71091),x71092),x71093)) % 153.71/153.55 [7197]~P7(x71971)+~P134(f327(f327(f274(x71971),x71972),f53(x71971,x71973,x71974)))+P134(f327(f327(f274(x71971),x71972),x71973))+~P134(f327(f327(f274(x71971),x71972),x71974)) % 153.71/153.55 [7239]~P97(x72391)+E(f327(f327(f100(f841(x72391,a831)),f327(f289(x72391,x72392),x72393)),f290(x72391,x72393,x72394)),f290(x72391,x72392,x72394))+~P134(f327(f327(f227(x72391),x72393),x72394))+~P134(f327(f327(f227(x72391),x72392),x72393)) % 153.71/153.55 [7251]~P96(x72511)+~P48(a834,x72511,f274(a834),x72512)+P134(f327(f327(f227(x72511),f327(x72512,x72513)),f327(x72512,x72514)))+~P134(f327(f327(f274(a834),x72513),x72514)) % 153.71/153.55 [7304]~P97(x73041)+E(f327(f327(f100(f841(x73041,a831)),f293(x73041,x73042,x73043)),f327(f289(x73041,x73043),x73044)),f293(x73041,x73042,x73044))+~P134(f327(f327(f228(x73041),x73042),x73043))+~P134(f327(f327(f227(x73041),x73043),x73044)) % 153.71/153.55 [7327]~P97(x73271)+E(f327(f327(f100(f841(x73271,a831)),f290(x73271,x73272,x73273)),f293(x73271,x73273,x73274)),f327(f289(x73271,x73272),x73274))+~P134(f327(f327(f228(x73271),x73273),x73274))+~P134(f327(f327(f227(x73271),x73272),x73273)) % 153.71/153.55 [7361]~P97(x73611)+E(f327(f327(f100(f841(x73611,a831)),f290(x73611,x73612,x73613)),f292(x73611,x73613,x73614)),f290(x73611,x73612,x73614))+~P134(f327(f327(f227(x73611),x73613),x73614))+~P134(f327(f327(f227(x73611),x73612),x73613)) % 153.71/153.55 [7362]~P97(x73621)+E(f327(f327(f100(f841(x73621,a831)),f292(x73621,x73622,x73623)),f292(x73621,x73623,x73624)),f292(x73621,x73622,x73624))+~P134(f327(f327(f227(x73621),x73623),x73624))+~P134(f327(f327(f227(x73621),x73622),x73623)) % 153.71/153.55 [7363]~P97(x73631)+E(f327(f327(f100(f841(x73631,a831)),f292(x73631,x73632,x73633)),f293(x73631,x73633,x73634)),f293(x73631,x73632,x73634))+~P134(f327(f327(f228(x73631),x73633),x73634))+~P134(f327(f327(f227(x73631),x73632),x73633)) % 153.71/153.55 [7364]~P97(x73641)+E(f327(f327(f100(f841(x73641,a831)),f293(x73641,x73642,x73643)),f290(x73641,x73643,x73644)),f292(x73641,x73642,x73644))+~P134(f327(f327(f228(x73641),x73642),x73643))+~P134(f327(f327(f227(x73641),x73643),x73644)) % 153.71/153.55 [8143]P28(x81431,x81432,f508(x81433,x81432,x81434,x81431),x81434)+~P134(f327(f66(x81432),x81433))+~P134(f327(f66(x81431),x81434))+~P134(f327(f327(f227(a834),f327(f43(x81431),x81434)),f327(f43(x81432),x81433))) % 153.71/153.55 [8213]~P68(x82131)+~E(f327(x82133,f607(x82133,x82134,x82132,x82131)),f82(x82131))+E(f327(f327(f327(f70(x82131,x82132,f85(x82131)),x82133),f82(x82131)),x82134),f82(x82131))+~P134(f327(f66(x82132),x82134)) % 153.71/153.55 [8473]~P114(x84731)+~P134(f327(f327(f227(x84731),f2(x84731)),x84733))+P134(f327(f327(f227(x84731),x84732),x84733))+~P134(f327(f327(f227(x84731),f327(f327(f237(x84731),x84732),f327(a111,x84734))),f327(f327(f237(x84731),x84733),f327(a111,x84734)))) % 153.71/153.55 [8802]~P68(x88021)+E(f327(f327(f327(f70(x88021,x88022,f85(x88021)),x88023),f82(x88021)),x88024),f82(x88021))+~P134(f327(f66(x88022),x88024))+P134(f327(f327(f329(x88022),f607(x88023,x88024,x88022,x88021)),x88024)) % 153.71/153.55 [9049]~P12(x90492,x90493,x90494)+~P134(f327(f66(x90492),x90493))+~P134(f327(f327(f274(a834),x90491),f327(f43(x90492),f491(x90491,x90494,x90493,x90492))))+P134(f327(f327(f274(a834),x90491),f327(f43(x90492),x90493))) % 153.71/153.55 [9248]~P134(f327(f327(f274(a834),x92481),x92483))+~P134(f327(f327(f274(a834),x92481),x92482))+~P134(f327(f327(f274(a834),x92484),x92483))+~P134(f327(f327(f228(f841(a834,a831)),f277(a834,f274(a834),x92481,x92483)),f277(a834,f274(a834),x92482,x92484))) % 153.71/153.55 [9253]~P134(f327(f327(f227(a1),x92534),f2(a1)))+P134(f327(f327(f227(a1),f327(f327(f84(a1),f327(f327(f85(a1),x92531),f53(a1,x92532,x92533))),x92534)),f2(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x92533))+~P134(f327(f327(f228(a1),x92531),x92534)) % 153.71/153.55 [9660]~P134(f327(f66(x96601),x96602))+~P134(f327(f327(f329(x96601),x96604),x96602))+~P134(f327(f327(f329(x96601),x96603),x96602))+P134(f327(f327(f228(a834),f327(f43(x96601),f327(f327(f3(f841(x96601,a831)),f327(f327(f3(f841(x96601,a831)),x96602),f327(f327(f297(x96601),x96603),f176(f841(x96601,a831))))),f327(f327(f297(x96601),x96604),f176(f841(x96601,a831)))))),f327(f43(x96601),x96602))) % 153.71/153.55 [6753]~P133(x67533)+~P109(x67533)+P134(f327(x67531,f802(x67532,x67531,x67533)))+~P134(f327(x67531,f327(f327(f85(x67533),x67532),x67534))) % 153.71/153.55 [6811]~P97(x68111)+~P134(f327(f327(f228(x68111),x68112),x68114))+~P134(f327(f327(f228(x68111),x68112),x68113))+P134(f327(f327(f228(x68111),x68112),f327(f327(f231(x68111),x68113),x68114))) % 153.71/153.55 [6814]~P97(x68141)+~P134(f327(f327(f227(x68141),x68142),x68144))+~P134(f327(f327(f227(x68141),x68142),x68143))+P134(f327(f327(f227(x68141),x68142),f327(f327(f231(x68141),x68143),x68144))) % 153.71/153.55 [6817]~P95(x68171)+~P134(f327(f327(f227(x68171),x68172),x68174))+~P134(f327(f327(f227(x68171),x68172),x68173))+P134(f327(f327(f227(x68171),x68172),f327(f327(f101(x68171),x68173),x68174))) % 153.71/153.55 [6818]~P82(x68181)+~P134(f327(f327(f274(x68181),x68182),x68184))+~P134(f327(f327(f274(x68181),x68182),x68183))+P134(f327(f327(f274(x68181),x68182),f327(f327(f84(x68181),x68183),x68184))) % 153.71/153.55 [6819]~P101(x68191)+~P134(f327(f327(f274(x68191),x68192),x68194))+~P134(f327(f327(f274(x68191),x68192),x68193))+P134(f327(f327(f274(x68191),x68192),f327(f327(f3(x68191),x68193),x68194))) % 153.71/153.55 [6839]~P59(x68392)+E(x68391,f2(x68392))+E(f327(f327(f278(x68392),f327(f327(f237(x68392),x68391),x68393)),f327(f327(f237(x68392),x68391),x68394)),f327(f327(f237(x68392),x68391),f327(f327(f3(a834),x68393),x68394)))+~P134(f327(f327(f227(a834),x68394),x68393)) % 153.71/153.55 [6889]~P97(x68891)+~P18(x68891,f327(f327(f136(x68891),x68893),x68894))+P18(x68891,f327(f327(f136(x68891),x68892),f327(f327(f136(x68891),x68893),x68894)))+~P134(f327(f327(f227(x68891),x68892),x68893)) % 153.71/153.55 [6927]~P78(x69271)+~P134(f327(f327(f227(x69271),f2(x69271)),x69273))+~P134(f327(f327(f228(x69271),x69272),x69274))+P134(f327(f327(f228(x69271),x69272),f327(f327(f84(x69271),x69273),x69274))) % 153.71/153.55 [6928]~P78(x69281)+~P134(f327(f327(f227(x69281),x69282),x69284))+~P134(f327(f327(f228(x69281),f2(x69281)),x69283))+P134(f327(f327(f228(x69281),x69282),f327(f327(f84(x69281),x69283),x69284))) % 153.71/153.55 [6929]~P114(x69291)+~P134(f327(f327(f228(x69291),f2(x69291)),x69293))+~P134(f327(f327(f228(x69291),x69292),x69294))+P134(f327(f327(f228(x69291),x69292),f327(f327(f84(x69291),x69293),x69294))) % 153.71/153.55 [6930]~P78(x69301)+~P134(f327(f327(f227(x69301),f2(x69301)),x69304))+~P134(f327(f327(f227(x69301),x69302),x69303))+P134(f327(f327(f227(x69301),x69302),f327(f327(f84(x69301),x69303),x69304))) % 153.71/153.55 [6931]~P78(x69311)+~P134(f327(f327(f227(x69311),f2(x69311)),x69313))+~P134(f327(f327(f227(x69311),x69312),x69314))+P134(f327(f327(f227(x69311),x69312),f327(f327(f84(x69311),x69313),x69314))) % 153.71/153.55 [6967]~P97(x69671)+P134(f327(f327(f228(x69671),x69672),x69673))+P134(f327(f327(f228(x69671),x69672),x69674))+~P134(f327(f327(f228(x69671),x69672),f327(f327(f175(x69671),x69674),x69673))) % 153.71/153.55 [6968]~P97(x69681)+P134(f327(f327(f227(x69681),x69682),x69683))+P134(f327(f327(f227(x69681),x69682),x69684))+~P134(f327(f327(f227(x69681),x69682),f327(f327(f175(x69681),x69684),x69683))) % 153.71/153.55 [7650]~P61(x76501)+~P134(f327(f327(f228(x76501),x76504),f2(x76501)))+~P134(f327(f327(f228(x76501),x76503),f327(f327(f278(x76501),x76502),x76504)))+P134(f327(f327(f228(x76501),x76502),f327(f327(f85(x76501),x76503),x76504))) % 153.71/153.55 [7651]~P61(x76511)+~P134(f327(f327(f228(x76511),x76514),f2(x76511)))+~P134(f327(f327(f228(x76511),x76513),f327(f327(f85(x76511),x76512),x76514)))+P134(f327(f327(f228(x76511),x76512),f327(f327(f278(x76511),x76513),x76514))) % 153.71/153.55 [7652]~P61(x76521)+~P134(f327(f327(f228(x76521),x76524),f2(x76521)))+~P134(f327(f327(f227(x76521),x76523),f327(f327(f278(x76521),x76522),x76524)))+P134(f327(f327(f227(x76521),x76522),f327(f327(f85(x76521),x76523),x76524))) % 153.71/153.55 [7653]~P61(x76531)+~P134(f327(f327(f228(x76531),x76534),f2(x76531)))+~P134(f327(f327(f227(x76531),x76533),f327(f327(f85(x76531),x76532),x76534)))+P134(f327(f327(f227(x76531),x76532),f327(f327(f278(x76531),x76533),x76534))) % 153.71/153.55 [7765]~P115(x77651)+~P134(f327(f327(f228(x77651),x77653),f2(x77651)))+~P134(f327(f327(f228(x77651),x77654),x77652))+P134(f327(f327(f228(x77651),f327(f327(f85(x77651),x77652),x77653)),f327(f327(f85(x77651),x77654),x77653))) % 153.71/153.55 [7766]~P115(x77661)+~P134(f327(f327(f228(x77661),x77662),f2(x77661)))+~P134(f327(f327(f228(x77661),x77664),x77663))+P134(f327(f327(f228(x77661),f327(f327(f85(x77661),x77662),x77663)),f327(f327(f85(x77661),x77662),x77664))) % 153.71/153.55 [7767]~P61(x77671)+~P134(f327(f327(f228(x77671),x77673),f2(x77671)))+~P134(f327(f327(f228(x77671),x77674),x77672))+P134(f327(f327(f228(x77671),f327(f327(f278(x77671),x77672),x77673)),f327(f327(f278(x77671),x77674),x77673))) % 153.71/153.55 [7768]~P115(x77681)+~P134(f327(f327(f228(x77681),x77682),f2(x77681)))+~P134(f327(f327(f227(x77681),x77684),x77683))+P134(f327(f327(f227(x77681),f327(f327(f85(x77681),x77682),x77683)),f327(f327(f85(x77681),x77682),x77684))) % 153.71/153.55 [7769]~P125(x77691)+~P134(f327(f327(f227(x77691),x77692),f2(x77691)))+~P134(f327(f327(f227(x77691),x77694),x77693))+P134(f327(f327(f227(x77691),f327(f327(f85(x77691),x77692),x77693)),f327(f327(f85(x77691),x77692),x77694))) % 153.71/153.55 [7770]~P125(x77701)+~P134(f327(f327(f227(x77701),x77703),f2(x77701)))+~P134(f327(f327(f227(x77701),x77704),x77702))+P134(f327(f327(f227(x77701),f327(f327(f85(x77701),x77702),x77703)),f327(f327(f85(x77701),x77704),x77703))) % 153.71/153.55 [7771]~P60(x77711)+~P134(f327(f327(f227(x77711),x77713),f2(x77711)))+~P134(f327(f327(f227(x77711),x77714),x77712))+P134(f327(f327(f227(x77711),f327(f327(f278(x77711),x77712),x77713)),f327(f327(f278(x77711),x77714),x77713))) % 153.71/153.55 [7773]~P114(x77731)+~P134(f327(f327(f228(x77731),f82(x77731)),x77732))+~P134(f327(f327(f228(a834),x77733),x77734))+P134(f327(f327(f228(x77731),f327(f327(f237(x77731),x77732),x77733)),f327(f327(f237(x77731),x77732),x77734))) % 153.71/153.55 [7774]~P114(x77741)+~P134(f327(f327(f228(x77741),f82(x77741)),x77742))+~P134(f327(f327(f227(a834),x77743),x77744))+P134(f327(f327(f227(x77741),f327(f327(f237(x77741),x77742),x77743)),f327(f327(f237(x77741),x77742),x77744))) % 153.71/153.55 [7775]~P114(x77751)+~P134(f327(f327(f227(x77751),f82(x77751)),x77752))+~P134(f327(f327(f227(a834),x77753),x77754))+P134(f327(f327(f227(x77751),f327(f327(f237(x77751),x77752),x77753)),f327(f327(f237(x77751),x77752),x77754))) % 153.71/153.55 [7802]P134(f327(f327(f228(a834),f2(a834)),f327(x78021,x78022)))+~P134(f327(f66(x78023),x78024))+~P134(f327(f327(f329(x78023),x78022),x78024))+~P134(f327(f327(f228(a834),f2(a834)),f327(f327(f11(x78023,a834),x78021),x78024))) % 153.71/153.55 [7814]~P112(x78141)+~P134(f327(f327(f228(x78141),x78143),x78144))+~P134(f327(f327(f228(x78141),f2(x78141)),x78142))+P134(f327(f327(f228(x78141),f327(f327(f85(x78141),x78142),x78143)),f327(f327(f85(x78141),x78142),x78144))) % 153.71/153.55 [7815]~P120(x78151)+~P134(f327(f327(f228(x78151),x78153),x78154))+~P134(f327(f327(f228(x78151),f2(x78151)),x78152))+P134(f327(f327(f228(x78151),f327(f327(f85(x78151),x78152),x78153)),f327(f327(f85(x78151),x78152),x78154))) % 153.71/153.55 [7816]~P115(x78161)+~P134(f327(f327(f228(x78161),x78162),x78164))+~P134(f327(f327(f228(x78161),f2(x78161)),x78163))+P134(f327(f327(f228(x78161),f327(f327(f85(x78161),x78162),x78163)),f327(f327(f85(x78161),x78164),x78163))) % 153.71/153.55 [7817]~P120(x78171)+~P134(f327(f327(f228(x78171),x78172),x78174))+~P134(f327(f327(f228(x78171),f2(x78171)),x78173))+P134(f327(f327(f228(x78171),f327(f327(f85(x78171),x78172),x78173)),f327(f327(f85(x78171),x78174),x78173))) % 153.71/153.55 [7818]~P115(x78181)+~P134(f327(f327(f228(x78181),x78183),x78184))+~P134(f327(f327(f228(x78181),f2(x78181)),x78182))+P134(f327(f327(f228(x78181),f327(f327(f85(x78181),x78182),x78183)),f327(f327(f85(x78181),x78182),x78184))) % 153.71/153.55 [7819]~P61(x78191)+~P134(f327(f327(f228(x78191),x78192),x78194))+~P134(f327(f327(f228(x78191),f2(x78191)),x78193))+P134(f327(f327(f228(x78191),f327(f327(f278(x78191),x78192),x78193)),f327(f327(f278(x78191),x78194),x78193))) % 153.71/153.55 [7820]~P115(x78201)+~P134(f327(f327(f228(x78201),f2(x78201)),x78202))+~P134(f327(f327(f227(x78201),x78203),x78204))+P134(f327(f327(f227(x78201),f327(f327(f85(x78201),x78202),x78203)),f327(f327(f85(x78201),x78202),x78204))) % 153.71/153.55 [7821]~P127(x78211)+~P134(f327(f327(f227(x78211),x78213),x78214))+~P134(f327(f327(f227(x78211),f2(x78211)),x78212))+P134(f327(f327(f227(x78211),f327(f327(f85(x78211),x78212),x78213)),f327(f327(f85(x78211),x78212),x78214))) % 153.71/153.55 [7822]~P126(x78221)+~P134(f327(f327(f227(x78221),x78223),x78224))+~P134(f327(f327(f227(x78221),f2(x78221)),x78222))+P134(f327(f327(f227(x78221),f327(f327(f85(x78221),x78222),x78223)),f327(f327(f85(x78221),x78222),x78224))) % 153.71/153.55 [7823]~P127(x78231)+~P134(f327(f327(f227(x78231),x78232),x78234))+~P134(f327(f327(f227(x78231),f2(x78231)),x78233))+P134(f327(f327(f227(x78231),f327(f327(f85(x78231),x78232),x78233)),f327(f327(f85(x78231),x78234),x78233))) % 153.71/153.55 [7824]~P114(x78241)+~P134(f327(f327(f227(x78241),x78242),x78244))+~P134(f327(f327(f227(x78241),f2(x78241)),x78242))+P134(f327(f327(f227(x78241),f327(f327(f237(x78241),x78242),x78243)),f327(f327(f237(x78241),x78244),x78243))) % 153.71/153.55 [7825]~P60(x78251)+~P134(f327(f327(f227(x78251),x78252),x78254))+~P134(f327(f327(f227(x78251),f2(x78251)),x78253))+P134(f327(f327(f227(x78251),f327(f327(f278(x78251),x78252),x78253)),f327(f327(f278(x78251),x78254),x78253))) % 153.71/153.55 [7864]~P99(x78642)+P134(f327(f327(f227(f841(x78641,x78642)),x78644),x78643))+~P134(f327(f327(f227(f841(x78641,x78642)),x78643),x78644))+P134(f327(f327(f228(f841(x78641,x78642)),x78643),x78644)) % 153.71/153.55 [7905]P134(f327(f327(f329(x79051),x79052),x79053))+P134(f327(f327(f329(x79051),x79052),x79054))+~P134(f327(f327(f227(f841(x79051,a831)),x79054),x79053))+P134(f327(f327(f228(f841(x79051,a831)),x79054),f327(f327(f297(x79051),x79052),x79053))) % 153.71/153.55 [8006]~P108(x80062)+E(x80061,f2(x80062))+P134(f327(f327(f274(x80062),x80063),x80064))+~P134(f327(f327(f274(x80062),f327(f327(f85(x80062),x80063),x80061)),f327(f327(f85(x80062),x80064),x80061))) % 153.71/153.55 [8007]~P108(x80072)+E(x80071,f2(x80072))+P134(f327(f327(f274(x80072),x80073),x80074))+~P134(f327(f327(f274(x80072),f327(f327(f85(x80072),x80071),x80073)),f327(f327(f85(x80072),x80071),x80074))) % 153.71/153.55 [8054]P134(f327(f327(f329(x80541),x80542),x80543))+P134(f327(f327(f329(x80541),x80542),x80544))+~P134(f327(f327(f228(f841(x80541,a831)),x80544),f327(f327(f297(x80541),x80542),x80543)))+P134(f327(f327(f227(f841(x80541,a831)),x80544),x80543)) % 153.71/153.55 [8121]~P115(x81211)+P134(f327(f327(f228(x81211),x81213),x81212))+P134(f327(f327(f228(x81211),x81212),x81213))+~P134(f327(f327(f228(x81211),f327(f327(f85(x81211),x81214),x81212)),f327(f327(f85(x81211),x81214),x81213))) % 153.71/153.55 [8122]~P115(x81221)+P134(f327(f327(f228(x81221),x81223),x81222))+P134(f327(f327(f228(x81221),x81222),x81223))+~P134(f327(f327(f228(x81221),f327(f327(f85(x81221),x81222),x81224)),f327(f327(f85(x81221),x81223),x81224))) % 153.71/153.55 [8133]~P115(x81331)+P134(f327(f327(f228(x81331),x81334),f2(x81331)))+P134(f327(f327(f228(x81331),x81332),x81333))+~P134(f327(f327(f228(x81331),f327(f327(f85(x81331),x81332),x81334)),f327(f327(f85(x81331),x81333),x81334))) % 153.71/153.55 [8134]~P115(x81341)+P134(f327(f327(f228(x81341),x81344),f2(x81341)))+P134(f327(f327(f228(x81341),x81342),x81343))+~P134(f327(f327(f228(x81341),f327(f327(f85(x81341),x81344),x81342)),f327(f327(f85(x81341),x81344),x81343))) % 153.71/153.55 [8137]~P115(x81371)+P134(f327(f327(f228(x81371),x81372),x81373))+P134(f327(f327(f228(x81371),f2(x81371)),x81374))+~P134(f327(f327(f228(x81371),f327(f327(f85(x81371),x81374),x81373)),f327(f327(f85(x81371),x81374),x81372))) % 153.71/153.55 [8138]~P115(x81381)+P134(f327(f327(f228(x81381),x81382),x81383))+P134(f327(f327(f228(x81381),f2(x81381)),x81384))+~P134(f327(f327(f228(x81381),f327(f327(f85(x81381),x81383),x81384)),f327(f327(f85(x81381),x81382),x81384))) % 153.71/153.55 [8151]~P115(x81511)+P134(f327(f327(f228(x81511),x81512),f2(x81511)))+P134(f327(f327(f228(x81511),f2(x81511)),x81512))+~P134(f327(f327(f228(x81511),f327(f327(f85(x81511),x81513),x81512)),f327(f327(f85(x81511),x81514),x81512))) % 153.71/153.55 [8152]~P115(x81521)+P134(f327(f327(f228(x81521),x81522),f2(x81521)))+P134(f327(f327(f228(x81521),f2(x81521)),x81522))+~P134(f327(f327(f228(x81521),f327(f327(f85(x81521),x81522),x81523)),f327(f327(f85(x81521),x81522),x81524))) % 153.71/153.55 [8178]~P115(x81781)+~P134(f327(f327(f228(x81781),x81784),f2(x81781)))+P134(f327(f327(f228(x81781),x81782),x81783))+~P134(f327(f327(f228(x81781),f327(f327(f85(x81781),x81784),x81783)),f327(f327(f85(x81781),x81784),x81782))) % 153.71/153.55 [8179]~P115(x81791)+~P134(f327(f327(f228(x81791),x81794),f2(x81791)))+P134(f327(f327(f227(x81791),x81792),x81793))+~P134(f327(f327(f227(x81791),f327(f327(f85(x81791),x81794),x81793)),f327(f327(f85(x81791),x81794),x81792))) % 153.71/153.55 [8189]~P114(x81893)+~P134(f327(f327(f228(x81893),f82(x81893)),x81894))+P134(f327(f327(f228(a834),x81891),x81892))+~P134(f327(f327(f228(x81893),f327(f327(f237(x81893),x81894),x81891)),f327(f327(f237(x81893),x81894),x81892))) % 153.71/153.55 [8191]~P114(x81913)+~P134(f327(f327(f228(x81913),f82(x81913)),x81914))+P134(f327(f327(f227(a834),x81911),x81912))+~P134(f327(f327(f227(x81913),f327(f327(f237(x81913),x81914),x81911)),f327(f327(f237(x81913),x81914),x81912))) % 153.71/153.55 [8201]~P115(x82011)+P134(f327(f327(f228(x82011),x82012),x82013))+~P134(f327(f327(f228(x82011),f2(x82011)),x82014))+~P134(f327(f327(f228(x82011),f327(f327(f85(x82011),x82014),x82012)),f327(f327(f85(x82011),x82014),x82013))) % 153.71/153.55 [8202]~P120(x82021)+P134(f327(f327(f228(x82021),x82022),x82023))+~P134(f327(f327(f227(x82021),f2(x82021)),x82024))+~P134(f327(f327(f228(x82021),f327(f327(f85(x82021),x82024),x82022)),f327(f327(f85(x82021),x82024),x82023))) % 153.71/153.55 [8203]~P122(x82031)+P134(f327(f327(f228(x82031),x82032),x82033))+~P134(f327(f327(f227(x82031),f2(x82031)),x82034))+~P134(f327(f327(f228(x82031),f327(f327(f85(x82031),x82034),x82032)),f327(f327(f85(x82031),x82034),x82033))) % 153.71/153.55 [8204]~P114(x82041)+~P134(f327(f327(f227(x82041),f2(x82041)),x82043))+P134(f327(f327(f228(x82041),x82042),x82043))+~P134(f327(f327(f228(x82041),f327(f327(f237(x82041),x82042),x82044)),f327(f327(f237(x82041),x82043),x82044))) % 153.71/153.55 [8205]~P120(x82051)+P134(f327(f327(f228(x82051),x82052),x82053))+~P134(f327(f327(f227(x82051),f2(x82051)),x82054))+~P134(f327(f327(f228(x82051),f327(f327(f85(x82051),x82052),x82054)),f327(f327(f85(x82051),x82053),x82054))) % 153.71/153.55 [8206]~P122(x82061)+P134(f327(f327(f228(x82061),x82062),x82063))+~P134(f327(f327(f227(x82061),f2(x82061)),x82064))+~P134(f327(f327(f228(x82061),f327(f327(f85(x82061),x82062),x82064)),f327(f327(f85(x82061),x82063),x82064))) % 153.71/153.55 [8207]~P115(x82071)+P134(f327(f327(f227(x82071),x82072),x82073))+~P134(f327(f327(f228(x82071),f2(x82071)),x82074))+~P134(f327(f327(f227(x82071),f327(f327(f85(x82071),x82074),x82072)),f327(f327(f85(x82071),x82074),x82073))) % 153.71/153.55 [8208]~P120(x82081)+P134(f327(f327(f227(x82081),x82082),x82083))+~P134(f327(f327(f228(x82081),f2(x82081)),x82084))+~P134(f327(f327(f227(x82081),f327(f327(f85(x82081),x82084),x82082)),f327(f327(f85(x82081),x82084),x82083))) % 153.71/153.55 [8209]~P120(x82091)+P134(f327(f327(f227(x82091),x82092),x82093))+~P134(f327(f327(f228(x82091),f2(x82091)),x82094))+~P134(f327(f327(f227(x82091),f327(f327(f85(x82091),x82092),x82094)),f327(f327(f85(x82091),x82093),x82094))) % 153.71/153.55 [8249]P134(f327(f327(f329(x82491),x82492),x82493))+~P134(f327(f327(f227(f841(x82491,a831)),x82493),x82494))+~P134(f327(f327(f228(f841(x82491,a831)),x82493),x82494))+P134(f327(f327(f228(f841(x82491,a831)),x82493),f327(f327(f297(x82491),x82492),x82494))) % 153.71/153.55 [8283]~P133(x82831)+~P109(x82831)+P134(f327(f327(f274(x82831),x82832),f327(f327(f84(x82831),f802(x82832,x82833,x82831)),f2(x82831))))+~P134(f327(x82833,f327(f327(f85(x82831),x82832),x82834))) % 153.71/153.55 [8596]E(f327(f327(f3(a1),f339(x85961,x85962,x85963,x85964)),f340(x85961,x85962,x85963,x85964)),x85964)+~P134(f327(f327(f228(a1),f2(a1)),x85963))+~P134(f327(f327(f227(a1),x85961),x85964))+P134(f327(f327(f227(a1),x85961),f327(f327(f84(a1),x85964),x85963))) % 153.71/153.55 [8597]E(f327(f327(f3(a1),f350(x85971,x85972,x85973,x85974)),f351(x85971,x85972,x85973,x85974)),x85974)+~P134(f327(f327(f228(a1),f2(a1)),x85973))+~P134(f327(f327(f228(a1),x85971),x85974))+P134(f327(f327(f228(a1),x85971),f327(f327(f84(a1),x85974),x85973))) % 153.71/153.55 [8724]~E(f327(f327(f146(x87241),x87243),f740(x87244,x87243,x87241,x87242)),f327(f327(f146(x87241),x87244),f740(x87244,x87243,x87241,x87242)))+E(f327(f327(f155(x87241),x87242),x87243),f327(f327(f155(x87241),x87242),x87244))+~P134(f327(f327(f227(a834),x87242),f327(f177(f835(x87241)),x87243)))+~P134(f327(f327(f227(a834),x87242),f327(f177(f835(x87241)),x87244))) % 153.71/153.55 [8773]~P134(f327(f327(f228(a1),f2(a1)),x87733))+~P134(f327(f327(f227(a1),x87731),x87734))+P134(f327(f327(f329(a1),f339(x87731,x87732,x87733,x87734)),x87732))+P134(f327(f327(f227(a1),x87731),f327(f327(f84(a1),x87734),x87733))) % 153.71/153.55 [8774]~P134(f327(f327(f228(a1),f2(a1)),x87743))+~P134(f327(f327(f228(a1),x87741),x87744))+P134(f327(f327(f329(a1),f350(x87741,x87742,x87743,x87744)),x87742))+P134(f327(f327(f228(a1),x87741),f327(f327(f84(a1),x87744),x87743))) % 153.71/153.55 [8811]~P97(x88111)+~P134(f327(f66(x88111),x88113))+~P134(f327(f327(f329(x88111),x88114),x88113))+P134(f327(f327(f227(x88111),f327(f327(f69(x88111,x88111,f231(x88111)),x88112),x88113)),f327(f327(f231(x88111),x88114),x88112))) % 153.71/153.55 [8812]~P95(x88121)+~P134(f327(f66(x88121),x88123))+~P134(f327(f327(f329(x88121),x88124),x88123))+P134(f327(f327(f227(x88121),f327(f327(f69(x88121,x88121,f101(x88121)),x88122),x88123)),f327(f327(f101(x88121),x88124),x88122))) % 153.71/153.55 [8819]~P12(x88192,x88193,x88194)+~P134(f327(f66(x88192),x88193))+P134(f327(f327(f274(a834),x88191),f327(f43(x88192),x88193)))+P134(f327(f327(f329(f841(x88192,a831)),f491(x88191,x88194,x88193,x88192)),f327(f327(f62(x88192),x88193),x88194))) % 153.71/153.55 [8856]E(f327(f327(f155(x88561),x88562),x88563),f327(f327(f155(x88561),x88562),x88564))+P134(f327(f327(f228(a834),f740(x88563,x88564,x88561,x88562)),x88562))+~P134(f327(f327(f227(a834),x88562),f327(f177(f835(x88561)),x88563)))+~P134(f327(f327(f227(a834),x88562),f327(f177(f835(x88561)),x88564))) % 153.71/153.55 [8861]~P134(f327(f327(f228(a1),f2(a1)),x88613))+~P134(f327(f327(f228(a1),x88611),x88612))+P134(f327(f327(f329(a1),f351(x88611,x88614,x88613,x88612)),f290(a1,f82(a1),x88613)))+P134(f327(f327(f228(a1),x88611),f327(f327(f84(a1),x88612),x88613))) % 153.71/153.55 [8862]~P134(f327(f327(f228(a1),f2(a1)),x88623))+~P134(f327(f327(f227(a1),x88621),x88622))+P134(f327(f327(f329(a1),f340(x88621,x88624,x88623,x88622)),f290(a1,f82(a1),x88623)))+P134(f327(f327(f227(a1),x88621),f327(f327(f84(a1),x88622),x88623))) % 153.71/153.55 [9024]~E(f162(x90241,x90242,x90243),f162(x90241,x90242,x90244))+E(f327(f154(f840(x90241,x90242)),x90243),f327(f154(f840(x90241,x90242)),x90244))+~P134(f327(f124(x90241),f327(f327(f138(f840(x90241,x90242),x90241),f235(x90241,x90242)),x90244)))+~P134(f327(f124(x90241),f327(f327(f138(f840(x90241,x90242),x90241),f235(x90241,x90242)),x90243))) % 153.71/153.55 [9027]E(f162(x90271,x90272,x90273),f162(x90271,x90272,x90274))+~E(f327(f154(f840(x90271,x90272)),x90273),f327(f154(f840(x90271,x90272)),x90274))+~P134(f327(f124(x90271),f327(f327(f138(f840(x90271,x90272),x90271),f235(x90271,x90272)),x90274)))+~P134(f327(f124(x90271),f327(f327(f138(f840(x90271,x90272),x90271),f235(x90271,x90272)),x90273))) % 153.71/153.55 [9146]~P97(x91461)+~P134(f327(f66(x91461),x91464))+P134(f327(f327(f329(x91461),f672(x91462,x91463,x91464,x91461)),x91464))+P134(f327(f327(f227(x91461),f327(f327(f69(x91461,x91461,f175(x91461)),x91462),x91464)),f327(f327(f175(x91461),x91463),x91462))) % 153.71/153.55 [9147]~P94(x91471)+~P134(f327(f66(x91471),x91474))+P134(f327(f327(f329(x91471),f677(x91472,x91473,x91474,x91471)),x91474))+P134(f327(f327(f227(x91471),f327(f327(f69(x91471,x91471,f100(x91471)),x91472),x91474)),f327(f327(f100(x91471),x91473),x91472))) % 153.71/153.55 [9270]~P97(x92701)+~P134(f327(f66(x92701),x92703))+~P134(f327(f327(f227(x92701),f672(x92702,x92704,x92703,x92701)),x92704))+P134(f327(f327(f227(x92701),f327(f327(f69(x92701,x92701,f175(x92701)),x92702),x92703)),f327(f327(f175(x92701),x92704),x92702))) % 153.71/153.55 [9271]~P94(x92711)+~P134(f327(f66(x92711),x92713))+~P134(f327(f327(f227(x92711),f677(x92712,x92714,x92713,x92711)),x92714))+P134(f327(f327(f227(x92711),f327(f327(f69(x92711,x92711,f100(x92711)),x92712),x92713)),f327(f327(f100(x92711),x92714),x92712))) % 153.71/153.55 [9273]~P134(f327(f327(f228(a1),f2(a1)),x92733))+~P134(f327(f327(f227(a1),f2(a1)),x92734))+~P134(f327(f327(f228(a1),x92734),x92731))+P134(f327(f327(f228(a1),f327(f327(f84(a1),f327(f327(f85(a1),x92731),f53(a1,x92732,x92733))),x92734)),f327(f327(f85(a1),x92731),x92733))) % 153.71/153.55 [9536]~P96(x95361)+P134(f327(f327(f228(x95361),f327(x95362,x95363)),f327(x95362,x95364)))+~P134(f327(f327(f228(a834),x95363),x95364))+~P134(f327(f327(f228(x95361),f327(x95362,f554(x95364,x95363,x95362,x95361))),f327(x95362,f327(a111,f554(x95364,x95363,x95362,x95361))))) % 153.71/153.55 [9537]~P96(x95371)+P134(f327(f327(f228(x95371),f327(x95372,x95373)),f327(x95372,x95374)))+~P134(f327(f327(f228(a834),x95373),x95374))+~P134(f327(f327(f228(x95371),f327(x95372,f568(x95374,x95373,x95372,x95371))),f327(x95372,f327(a111,f568(x95374,x95373,x95372,x95371))))) % 153.71/153.55 [9538]~P96(x95383)+~P134(f327(f327(f228(x95383),f327(x95384,x95381)),f327(x95384,x95382)))+P134(f327(f327(f228(a834),x95381),x95382))+~P134(f327(f327(f228(x95383),f327(x95384,f554(x95382,x95381,x95384,x95383))),f327(x95384,f327(a111,f554(x95382,x95381,x95384,x95383))))) % 153.71/153.55 [9631]E(x96311,x96312)+P134(f327(f327(f329(f840(f835(x96313),f835(x96313))),f327(f327(f236(f835(x96313),f835(x96313)),x96312),x96311)),f133(x96313,x96314)))+P134(f327(f327(f329(f840(f835(x96313),f835(x96313))),f327(f327(f236(f835(x96313),f835(x96313)),x96311),x96312)),f133(x96313,x96314)))+~P134(f327(f327(f329(f840(x96313,x96313)),f327(f327(f236(x96313,x96313),f735(x96311,x96312,x96314,x96313)),f737(x96311,x96312,x96314,x96313))),x96314)) % 153.71/153.55 [9632]E(x96321,x96322)+P134(f327(f327(f329(f840(f835(x96323),f835(x96323))),f327(f327(f236(f835(x96323),f835(x96323)),x96322),x96321)),f133(x96323,x96324)))+P134(f327(f327(f329(f840(f835(x96323),f835(x96323))),f327(f327(f236(f835(x96323),f835(x96323)),x96321),x96322)),f133(x96323,x96324)))+~P134(f327(f327(f329(f840(x96323,x96323)),f327(f327(f236(x96323,x96323),f737(x96321,x96322,x96324,x96323)),f735(x96321,x96322,x96324,x96323))),x96324)) % 153.71/153.55 [7350]~P97(x73501)+~P134(f327(f327(f228(x73501),x73503),x73504))+~P134(f327(f327(f228(x73501),x73502),x73504))+P134(f327(f327(f228(x73501),f327(f327(f175(x73501),x73502),x73503)),x73504)) % 153.71/153.55 [7353]~P97(x73531)+~P134(f327(f327(f227(x73531),x73533),x73534))+~P134(f327(f327(f227(x73531),x73532),x73534))+P134(f327(f327(f227(x73531),f327(f327(f175(x73531),x73532),x73533)),x73534)) % 153.71/153.55 [7356]~P94(x73561)+~P134(f327(f327(f227(x73561),x73563),x73564))+~P134(f327(f327(f227(x73561),x73562),x73564))+P134(f327(f327(f227(x73561),f327(f327(f100(x73561),x73562),x73563)),x73564)) % 153.71/153.55 [7595]~P7(x75951)+E(f327(f327(f84(x75951),f327(f327(f44(x75951),x75952),x75953)),f327(f327(f44(x75951),x75954),x75953)),f327(f327(f44(x75951),f327(f327(f84(x75951),x75952),x75954)),x75953))+~P134(f327(f327(f274(x75951),x75953),x75954))+~P134(f327(f327(f274(x75951),x75953),x75952)) % 153.71/153.55 [7674]~E(x76741,x76743)+E(f126(a834,f327(f289(a834,x76741),x76742)),f327(f327(f136(a834),x76743),x76744))+~E(f126(a834,f327(f289(a834,f327(f327(f84(a834),x76741),f82(a834))),x76742)),x76744)+~P134(f327(f327(f228(a834),x76741),x76742)) % 153.71/153.55 [7683]~P97(x76831)+P134(f327(f327(f228(x76831),x76832),x76833))+P134(f327(f327(f228(x76831),x76834),x76833))+~P134(f327(f327(f228(x76831),f327(f327(f231(x76831),x76834),x76832)),x76833)) % 153.71/153.55 [7684]~P97(x76841)+P134(f327(f327(f227(x76841),x76842),x76843))+P134(f327(f327(f227(x76841),x76844),x76843))+~P134(f327(f327(f227(x76841),f327(f327(f231(x76841),x76844),x76842)),x76843)) % 153.71/153.55 [7958]~P60(x79581)+~P134(f327(f327(f228(x79581),f2(x79581)),x79583))+~P134(f327(f327(f228(x79581),x79582),f327(f327(f278(x79581),x79584),x79583)))+P134(f327(f327(f228(x79581),f327(f327(f85(x79581),x79582),x79583)),x79584)) % 153.71/153.55 [7959]~P61(x79591)+~P134(f327(f327(f228(x79591),f2(x79591)),x79593))+~P134(f327(f327(f228(x79591),x79592),f327(f327(f278(x79591),x79594),x79593)))+P134(f327(f327(f228(x79591),f327(f327(f85(x79591),x79592),x79593)),x79594)) % 153.71/153.55 [7960]~P60(x79601)+~P134(f327(f327(f228(x79601),f2(x79601)),x79603))+~P134(f327(f327(f228(x79601),x79602),f327(f327(f85(x79601),x79604),x79603)))+P134(f327(f327(f228(x79601),f327(f327(f278(x79601),x79602),x79603)),x79604)) % 153.71/153.55 [7962]~P61(x79621)+~P134(f327(f327(f228(x79621),f2(x79621)),x79623))+~P134(f327(f327(f228(x79621),x79622),f327(f327(f85(x79621),x79624),x79623)))+P134(f327(f327(f228(x79621),f327(f327(f278(x79621),x79622),x79623)),x79624)) % 153.71/153.55 [7963]~P60(x79631)+~P134(f327(f327(f228(x79631),f2(x79631)),x79633))+~P134(f327(f327(f227(x79631),x79632),f327(f327(f278(x79631),x79634),x79633)))+P134(f327(f327(f227(x79631),f327(f327(f85(x79631),x79632),x79633)),x79634)) % 153.71/153.55 [7964]~P61(x79641)+~P134(f327(f327(f228(x79641),f2(x79641)),x79643))+~P134(f327(f327(f227(x79641),x79642),f327(f327(f278(x79641),x79644),x79643)))+P134(f327(f327(f227(x79641),f327(f327(f85(x79641),x79642),x79643)),x79644)) % 153.71/153.55 [7965]~P60(x79651)+~P134(f327(f327(f228(x79651),f2(x79651)),x79653))+~P134(f327(f327(f227(x79651),x79652),f327(f327(f85(x79651),x79654),x79653)))+P134(f327(f327(f227(x79651),f327(f327(f278(x79651),x79652),x79653)),x79654)) % 153.71/153.55 [7967]~P61(x79671)+~P134(f327(f327(f228(x79671),f2(x79671)),x79673))+~P134(f327(f327(f227(x79671),x79672),f327(f327(f85(x79671),x79674),x79673)))+P134(f327(f327(f227(x79671),f327(f327(f278(x79671),x79672),x79673)),x79674)) % 153.71/153.55 [8091]~P60(x80911)+~P134(f327(f327(f228(x80911),f2(x80911)),x80914))+P134(f327(f327(f228(x80911),x80912),f327(f327(f85(x80911),x80913),x80914)))+~P134(f327(f327(f228(x80911),f327(f327(f278(x80911),x80912),x80914)),x80913)) % 153.71/153.55 [8092]~P60(x80921)+~P134(f327(f327(f228(x80921),f2(x80921)),x80924))+P134(f327(f327(f228(x80921),x80922),f327(f327(f278(x80921),x80923),x80924)))+~P134(f327(f327(f228(x80921),f327(f327(f85(x80921),x80922),x80924)),x80923)) % 153.71/153.55 [8094]~P61(x80941)+~P134(f327(f327(f228(x80941),f2(x80941)),x80944))+P134(f327(f327(f228(x80941),x80942),f327(f327(f85(x80941),x80943),x80944)))+~P134(f327(f327(f228(x80941),f327(f327(f278(x80941),x80942),x80944)),x80943)) % 153.71/153.55 [8095]~P61(x80951)+~P134(f327(f327(f228(x80951),f2(x80951)),x80954))+P134(f327(f327(f228(x80951),x80952),f327(f327(f278(x80951),x80953),x80954)))+~P134(f327(f327(f228(x80951),f327(f327(f85(x80951),x80952),x80954)),x80953)) % 153.71/153.55 [8096]~P60(x80961)+~P134(f327(f327(f228(x80961),f2(x80961)),x80964))+P134(f327(f327(f227(x80961),x80962),f327(f327(f85(x80961),x80963),x80964)))+~P134(f327(f327(f227(x80961),f327(f327(f278(x80961),x80962),x80964)),x80963)) % 153.71/153.55 [8097]~P60(x80971)+~P134(f327(f327(f228(x80971),f2(x80971)),x80974))+P134(f327(f327(f227(x80971),x80972),f327(f327(f278(x80971),x80973),x80974)))+~P134(f327(f327(f227(x80971),f327(f327(f85(x80971),x80972),x80974)),x80973)) % 153.71/153.55 [8099]~P61(x80991)+~P134(f327(f327(f228(x80991),f2(x80991)),x80994))+P134(f327(f327(f227(x80991),x80992),f327(f327(f85(x80991),x80993),x80994)))+~P134(f327(f327(f227(x80991),f327(f327(f278(x80991),x80992),x80994)),x80993)) % 153.71/153.55 [8100]~P61(x81001)+~P134(f327(f327(f228(x81001),f2(x81001)),x81004))+P134(f327(f327(f227(x81001),x81002),f327(f327(f278(x81001),x81003),x81004)))+~P134(f327(f327(f227(x81001),f327(f327(f85(x81001),x81002),x81004)),x81003)) % 153.71/153.55 [8253]~P61(x82531)+~P134(f327(f327(f228(x82531),x82533),f2(x82531)))+~P134(f327(f327(f228(x82531),f327(f327(f278(x82531),x82534),x82533)),x82532))+P134(f327(f327(f228(x82531),f327(f327(f85(x82531),x82532),x82533)),x82534)) % 153.71/153.55 [8254]~P61(x82541)+~P134(f327(f327(f228(x82541),x82543),f2(x82541)))+~P134(f327(f327(f228(x82541),f327(f327(f85(x82541),x82544),x82543)),x82542))+P134(f327(f327(f228(x82541),f327(f327(f278(x82541),x82542),x82543)),x82544)) % 153.71/153.55 [8255]~P61(x82551)+~P134(f327(f327(f228(x82551),x82553),f2(x82551)))+~P134(f327(f327(f227(x82551),f327(f327(f278(x82551),x82554),x82553)),x82552))+P134(f327(f327(f227(x82551),f327(f327(f85(x82551),x82552),x82553)),x82554)) % 153.71/153.55 [8256]~P61(x82561)+~P134(f327(f327(f228(x82561),x82563),f2(x82561)))+~P134(f327(f327(f227(x82561),f327(f327(f85(x82561),x82564),x82563)),x82562))+P134(f327(f327(f227(x82561),f327(f327(f278(x82561),x82562),x82563)),x82564)) % 153.71/153.55 [8269]~P134(f327(x82691,x82694))+~P134(f327(f327(f228(a834),x82692),f327(f327(f85(a834),x82693),f327(a111,x82694))))+P134(f327(x82691,f327(f327(f44(a834),x82692),x82693)))+~P134(f327(f327(f227(a834),f327(f327(f85(a834),x82693),x82694)),x82692)) % 153.71/153.55 [8471]~P97(x84711)+~P134(f327(f66(x84711),x84714))+~P134(f327(f327(f329(x84711),x84712),x84714))+P134(f327(f327(f227(x84711),f327(f327(f175(x84711),x84712),x84713)),f327(f327(f69(x84711,x84711,f175(x84711)),x84713),x84714))) % 153.71/153.55 [8472]~P94(x84721)+~P134(f327(f66(x84721),x84724))+~P134(f327(f327(f329(x84721),x84722),x84724))+P134(f327(f327(f227(x84721),f327(f327(f100(x84721),x84722),x84723)),f327(f327(f69(x84721,x84721,f100(x84721)),x84723),x84724))) % 153.71/153.55 [8598]~P134(f327(f66(x85981),x85982))+E(f327(f43(x85981),f327(f327(f3(f841(x85981,a831)),x85982),f327(f327(f297(x85981),x85983),x85984))),f327(f327(f3(a834),f327(f43(x85981),f327(f327(f3(f841(x85981,a831)),x85982),x85984))),f82(a834)))+P134(f327(f327(f329(x85981),x85983),x85984))+~P134(f327(f327(f329(x85981),x85983),x85982)) % 153.71/153.55 [8663]E(f327(f327(f84(a1),f341(x86631,x86632,x86633,x86634)),f342(x86631,x86632,x86633,x86634)),x86634)+~P134(f327(f327(f228(a1),f2(a1)),x86633))+~P134(f327(f327(f227(a1),x86634),x86631))+P134(f327(f327(f227(a1),f327(f327(f3(a1),x86634),x86633)),x86631)) % 153.71/153.55 [8664]E(f327(f327(f84(a1),f352(x86641,x86642,x86643,x86644)),f353(x86641,x86642,x86643,x86644)),x86644)+~P134(f327(f327(f228(a1),f2(a1)),x86643))+~P134(f327(f327(f228(a1),x86644),x86641))+P134(f327(f327(f228(a1),f327(f327(f3(a1),x86644),x86643)),x86641)) % 153.71/153.55 [8841]~P134(f327(f327(f228(a1),f2(a1)),x88413))+~P134(f327(f327(f227(a1),x88414),x88411))+P134(f327(f327(f329(a1),f341(x88411,x88412,x88413,x88414)),x88412))+P134(f327(f327(f227(a1),f327(f327(f3(a1),x88414),x88413)),x88411)) % 153.71/153.55 [8842]~P134(f327(f327(f228(a1),f2(a1)),x88423))+~P134(f327(f327(f228(a1),x88424),x88421))+P134(f327(f327(f329(a1),f352(x88421,x88422,x88423,x88424)),x88422))+P134(f327(f327(f228(a1),f327(f327(f3(a1),x88424),x88423)),x88421)) % 153.71/153.55 [8921]~P134(f327(f327(f228(a1),f2(a1)),x89212))+~P134(f327(f327(f228(a1),x89211),x89213))+P134(f327(f327(f329(a1),f353(x89213,x89214,x89212,x89211)),f290(a1,f82(a1),x89212)))+P134(f327(f327(f228(a1),f327(f327(f3(a1),x89211),x89212)),x89213)) % 153.71/153.55 [8922]~P134(f327(f327(f228(a1),f2(a1)),x89222))+~P134(f327(f327(f227(a1),x89221),x89223))+P134(f327(f327(f329(a1),f342(x89223,x89224,x89222,x89221)),f290(a1,f82(a1),x89222)))+P134(f327(f327(f227(a1),f327(f327(f3(a1),x89221),x89222)),x89223)) % 153.71/153.55 [8943]~P134(f327(f327(f228(a1),f2(a1)),x89433))+~P134(f327(f327(f227(a1),f2(a1)),x89434))+~P134(f327(f327(f228(a1),x89434),x89431))+P134(f327(f327(f227(a1),f2(a1)),f327(f327(f84(a1),f327(f327(f85(a1),x89431),f53(a1,x89432,x89433))),x89434))) % 153.71/153.55 [9000]~P97(x90001)+~P134(f327(f66(x90001),x90004))+~P134(f327(f327(f227(x90001),x90002),f671(x90003,x90002,x90004,x90001)))+P134(f327(f327(f227(x90001),f327(f327(f231(x90001),x90002),x90003)),f327(f327(f69(x90001,x90001,f231(x90001)),x90003),x90004))) % 153.71/153.55 [9001]~P95(x90011)+~P134(f327(f66(x90011),x90014))+~P134(f327(f327(f227(x90011),x90012),f676(x90013,x90012,x90014,x90011)))+P134(f327(f327(f227(x90011),f327(f327(f101(x90011),x90012),x90013)),f327(f327(f69(x90011,x90011,f101(x90011)),x90013),x90014))) % 153.71/153.55 [9014]~P134(f327(f327(f227(a1),x90144),f2(a1)))+~P134(f327(f327(f228(a1),f2(a1)),x90142))+~P134(f327(f327(f228(a1),x90141),x90144))+P134(f327(f327(f228(a1),f327(f327(f85(a1),x90141),x90142)),f327(f327(f84(a1),f327(f327(f85(a1),x90141),f53(a1,x90143,x90142))),x90144))) % 153.71/153.55 [9036]P134(f327(f66(x90361),x90362))+~P134(f327(f66(x90361),x90363))+~P134(f327(f327(f329(f841(x90361,a831)),x90362),f327(f327(f62(x90361),x90363),x90364)))+~P134(f327(f327(f227(f841(f840(x90361,x90361),a831)),x90364),f327(f327(f243(x90361,x90361),x90363),f327(f18(f841(x90361,a831),x90361),x90363)))) % 153.71/153.55 [9059]~P97(x90591)+~P134(f327(f66(x90591),x90594))+P134(f327(f327(f329(x90591),f671(x90592,x90593,x90594,x90591)),x90594))+P134(f327(f327(f227(x90591),f327(f327(f231(x90591),x90593),x90592)),f327(f327(f69(x90591,x90591,f231(x90591)),x90592),x90594))) % 153.71/153.55 [9060]~P95(x90601)+~P134(f327(f66(x90601),x90604))+P134(f327(f327(f329(x90601),f676(x90602,x90603,x90604,x90601)),x90604))+P134(f327(f327(f227(x90601),f327(f327(f101(x90601),x90603),x90602)),f327(f327(f69(x90601,x90601,f101(x90601)),x90602),x90604))) % 153.71/153.55 [9432]~P134(f327(f66(x94322),x94324))+~P134(f327(f66(x94321),x94323))+~P134(f327(f327(f227(a834),f327(f43(x94322),x94324)),f327(f43(x94321),x94323)))+P134(f327(f327(f227(f841(x94321,a831)),f327(f298(x94322,x94321,f508(x94323,x94321,x94324,x94322)),x94324)),x94323)) % 153.71/153.55 [9097]~P134(f327(f327(f329(x90971),x90972),x90974))+P134(f327(f327(f329(x90971),x90972),x90973))+~P134(f327(f327(f228(f841(x90971,a831)),x90974),f327(f327(f297(x90971),x90972),x90973)))+P134(f327(f327(f228(f841(x90971,a831)),f327(f327(f3(f841(x90971,a831)),x90974),f327(f327(f297(x90971),x90972),f176(f841(x90971,a831))))),x90973)) % 153.71/153.55 [9250]~P134(f327(f327(f329(x92501),x92502),x92504))+P134(f327(f327(f329(x92501),x92502),x92503))+P134(f327(f327(f228(f841(x92501,a831)),x92504),f327(f327(f297(x92501),x92502),x92503)))+~P134(f327(f327(f228(f841(x92501,a831)),f327(f327(f3(f841(x92501,a831)),x92504),f327(f327(f297(x92501),x92502),f176(f841(x92501,a831))))),x92503)) % 153.71/153.55 [9276]P134(f327(f327(f329(x92761),x92762),x92763))+~P134(f327(f327(f227(f841(x92761,a831)),x92764),x92763))+P134(f327(f327(f228(f841(x92761,a831)),x92764),f327(f327(f297(x92761),x92762),x92763)))+~P134(f327(f327(f228(f841(x92761,a831)),f327(f327(f3(f841(x92761,a831)),x92764),f327(f327(f297(x92761),x92762),f176(f841(x92761,a831))))),x92763)) % 153.71/153.55 [9281]~P134(f327(f327(f329(x92811),x92813),x92812))+~P134(f327(f327(f228(f841(x92811,a831)),x92812),x92814))+P134(f327(f327(f228(f841(x92811,a831)),x92812),f327(f327(f297(x92811),x92813),x92814)))+~P134(f327(f327(f228(f841(x92811,a831)),f327(f327(f3(f841(x92811,a831)),x92812),f327(f327(f297(x92811),x92813),f176(f841(x92811,a831))))),x92814)) % 153.71/153.55 [9293]~P134(f327(f327(f227(f841(x92931,a831)),x92932),x92934))+~P134(f327(f327(f228(f841(x92931,a831)),x92932),x92934))+P134(f327(f327(f228(f841(x92931,a831)),x92932),f327(f327(f297(x92931),x92933),x92934)))+~P134(f327(f327(f228(f841(x92931,a831)),f327(f327(f3(f841(x92931,a831)),x92932),f327(f327(f297(x92931),x92933),f176(f841(x92931,a831))))),x92934)) % 153.71/153.55 [9623]E(f327(f327(f146(x96231),f327(f327(f146(f835(x96231)),f160(x96231,x96232)),x96233)),x96234),f327(f327(f146(x96231),f327(f327(f146(f835(x96231)),x96232),x96234)),x96233))+~P134(f327(f327(f228(a834),x96233),f327(f177(f835(f835(x96231))),f160(x96231,x96232))))+~P18(a834,f327(f151(a834),f327(f327(f138(f835(x96231),a834),f177(f835(x96231))),x96232)))+~P134(f327(f327(f228(a834),x96234),f327(f177(f835(f835(x96231))),f327(f123(f835(x96231),f327(f327(f10(a834,a831,f835(x96231)),f327(f228(a834),x96233)),f177(f835(x96231)))),x96232)))) % 153.71/153.55 [9644]~P134(f327(f327(f329(f840(a834,a834)),x96444),x96441))+~P134(f327(f327(f329(f840(f840(a834,a834),f840(a834,a834))),f327(f327(f236(f840(a834,a834),f840(a834,a834)),x96444),x96442)),a40))+~P134(f327(f327(f329(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f236(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),x96441),x96443)),a41))+P134(f327(f327(f329(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f236(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),x96441),f327(f327(f297(f840(a834,a834)),x96442),x96443))),a41)) % 153.71/153.55 [9645]~P134(f327(f327(f329(f840(a834,a834)),x96454),x96451))+~P134(f327(f327(f329(f840(f840(a834,a834),f840(a834,a834))),f327(f327(f236(f840(a834,a834),f840(a834,a834)),x96454),x96452)),a74))+~P134(f327(f327(f329(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f236(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),x96451),x96453)),a75))+P134(f327(f327(f329(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f236(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),x96451),f327(f327(f297(f840(a834,a834)),x96452),x96453))),a75)) % 153.71/153.55 [9656]~P134(f327(f327(f329(f840(a834,a834)),x96564),x96563))+~P134(f327(f327(f329(f840(f840(a834,a834),f840(a834,a834))),f327(f327(f236(f840(a834,a834),f840(a834,a834)),x96561),x96564)),a40))+~P134(f327(f327(f329(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f236(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),x96562),x96563)),a42))+P134(f327(f327(f329(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f236(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),f327(f327(f297(f840(a834,a834)),x96561),x96562)),x96563)),a42)) % 153.71/153.55 [9657]~P134(f327(f327(f329(f840(a834,a834)),x96574),x96573))+~P134(f327(f327(f329(f840(f840(a834,a834),f840(a834,a834))),f327(f327(f236(f840(a834,a834),f840(a834,a834)),x96571),x96574)),a74))+~P134(f327(f327(f329(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f236(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),x96572),x96573)),a73))+P134(f327(f327(f329(f840(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831))),f327(f327(f236(f841(f840(a834,a834),a831),f841(f840(a834,a834),a831)),f327(f327(f297(f840(a834,a834)),x96571),x96572)),x96573)),a73)) % 153.71/153.55 [5802]~P36(x58022,x58023,x58025)+~P36(f35(x58021,x58022),x58025,x58024)+P36(f35(x58021,x58022),x58023,x58024)+~P134(f327(x58021,x58023)) % 153.71/153.55 [5884]~P11(x58844,x58841)+~P134(f327(f327(x58841,x58842),x58845))+P134(f327(f327(x58841,x58842),x58843))+~P134(f327(f327(x58841,x58845),x58843)) % 153.71/153.55 [5122]~P6(x51225)+E(x51221,x51222)+~E(x51223,x51224)+~E(f327(f327(f3(x51225),x51223),x51224),f327(f327(f3(x51225),x51221),x51222)) % 153.71/153.55 [5993]~P21(x59935,x59931,x59933)+E(f327(f327(x59931,x59932),f327(x59933,x59934)),f327(x59933,x59934))+~P134(f327(f66(x59935),x59934))+~P134(f327(f327(f329(x59935),x59932),x59934)) % 153.71/153.55 [6197]~P74(x61971)+~E(f327(f327(f3(x61971),x61974),x61975),f327(f327(f3(x61971),x61972),x61973))+~P134(f327(f327(f228(x61971),x61974),x61975))+P134(f327(f327(f228(x61971),x61972),x61973)) % 153.71/153.55 [6199]~P74(x61991)+~E(f327(f327(f3(x61991),x61994),x61995),f327(f327(f3(x61991),x61992),x61993))+~P134(f327(f327(f227(x61991),x61994),x61995))+P134(f327(f327(f227(x61991),x61992),x61993)) % 153.71/153.55 [7198]~E(x71982,f327(f327(f136(x71981),x71984),x71985))+P134(f327(f327(f329(f835(x71981)),x71982),f144(x71981,x71983)))+~P134(f327(f327(f329(f835(x71981)),x71985),f144(x71981,x71983)))+~P134(f327(f327(f329(x71981),x71984),x71983)) % 153.71/153.55 [7626]~E(f327(f177(f835(x76261)),x76263),f327(f177(f835(x76262)),x76264))+~E(f327(f327(f138(f840(x76261,x76262),x76262),f245(x76261,x76262)),x76265),x76264)+~E(f327(f327(f138(f840(x76261,x76262),x76261),f235(x76261,x76262)),x76265),x76263)+E(f327(f327(f163(x76261,x76262),x76263),x76264),x76265) % 153.71/153.55 [7954]~P96(x79541)+P134(f327(f327(f228(f841(x79541,a831)),f290(x79541,x79542,x79543)),f290(x79541,x79544,x79545)))+~P134(f327(f327(f227(x79541),x79544),x79545))+P134(f327(f327(f227(x79541),x79542),x79543)) % 153.71/153.55 [8047]~P96(x80471)+P134(f327(f327(f227(f841(x80471,a831)),f290(x80471,x80472,x80473)),f290(x80471,x80474,x80475)))+~P134(f327(f327(f227(x80471),x80473),x80475))+~P134(f327(f327(f227(x80471),x80474),x80472)) % 153.71/153.55 [8166]~P97(x81661)+P134(f327(f327(f227(x81661),x81662),x81663))+P134(f327(f327(f227(x81661),x81664),x81663))+~P134(f327(f327(f227(f841(x81661,a831)),f327(f289(x81661,x81663),x81662)),f327(f289(x81661,x81664),x81665))) % 153.71/153.55 [8167]~P97(x81671)+P134(f327(f327(f227(x81671),x81672),x81673))+P134(f327(f327(f227(x81671),x81672),x81674))+~P134(f327(f327(f227(f841(x81671,a831)),f327(f289(x81671,x81673),x81672)),f327(f289(x81671,x81675),x81674))) % 153.71/153.55 [8391]~P96(x83911)+~P134(f327(f327(f228(f841(x83911,a831)),f290(x83911,x83914,x83912)),f290(x83911,x83915,x83913)))+P134(f327(f327(f227(x83911),x83912),x83913))+~P134(f327(f327(f227(x83911),x83914),x83912)) % 153.71/153.55 [8392]~P96(x83921)+~P134(f327(f327(f227(f841(x83921,a831)),f290(x83921,x83924,x83922)),f290(x83921,x83925,x83923)))+P134(f327(f327(f227(x83921),x83922),x83923))+~P134(f327(f327(f227(x83921),x83924),x83922)) % 153.71/153.55 [8393]~P96(x83931)+~P134(f327(f327(f228(f841(x83931,a831)),f290(x83931,x83933,x83934)),f290(x83931,x83932,x83935)))+P134(f327(f327(f227(x83931),x83932),x83933))+~P134(f327(f327(f227(x83931),x83933),x83934)) % 153.71/153.55 [8394]~P96(x83941)+~P134(f327(f327(f227(f841(x83941,a831)),f290(x83941,x83943,x83944)),f290(x83941,x83942,x83945)))+P134(f327(f327(f227(x83941),x83942),x83943))+~P134(f327(f327(f227(x83941),x83943),x83944)) % 153.71/153.55 [5883]~P21(x58832,x58835,x58833)+E(x58831,f176(f841(x58832,a831)))+~P134(f327(f66(x58832),x58831))+E(f327(x58833,f327(f327(f297(x58832),x58834),x58831)),f327(f327(x58835,x58834),f327(x58833,x58831))) % 153.71/153.55 [6680]~E(x66801,x66802)+~E(f327(f327(f101(f841(x66803,a831)),x66804),x66805),f176(f841(x66803,a831)))+~P134(f327(f327(f329(x66803),x66802),x66805))+~P134(f327(f327(f329(x66803),x66801),x66804)) % 153.71/153.55 [6766]~P22(x67662,x67665,x67661)+~P134(f327(f66(x67662),x67664))+E(f327(x67661,f327(f327(f297(x67662),x67663),x67664)),f327(f327(f69(x67662,x67662,x67665),x67663),x67664))+P134(f327(f327(f329(x67662),x67663),x67664)) % 153.71/153.55 [6835]~P65(x68352)+~P134(f327(f66(x68351),x68355))+E(f327(f327(f8(x68351,x68352),x68353),f327(f327(f297(x68351),x68354),x68355)),f327(f327(f84(x68352),f327(x68353,x68354)),f327(f327(f8(x68351,x68352),x68353),x68355)))+P134(f327(f327(f329(x68351),x68354),x68355)) % 153.71/153.55 [6837]~P68(x68372)+~P134(f327(f66(x68371),x68375))+E(f327(f327(f11(x68371,x68372),x68373),f327(f327(f297(x68371),x68374),x68375)),f327(f327(f85(x68372),f327(x68373,x68374)),f327(f327(f11(x68371,x68372),x68373),x68375)))+P134(f327(f327(f329(x68371),x68374),x68375)) % 153.71/153.55 [7255]~P82(x72551)+~P134(f327(f66(x72554),x72555))+~P134(f327(f327(f329(x72554),x72553),x72555))+P134(f327(f327(f274(x72551),f327(x72552,x72553)),f327(f327(f11(x72554,x72551),x72552),x72555))) % 153.71/153.55 [7365]~P22(x73652,x73655,x73651)+~P134(f327(f66(x73652),x73654))+E(f327(x73651,f327(f327(f297(x73652),x73653),x73654)),x73653)+~E(f327(f327(f3(f841(x73652,a831)),x73654),f327(f327(f297(x73652),x73653),f176(f841(x73652,a831)))),f176(f841(x73652,a831))) % 153.71/153.55 [7694]~P82(x76941)+~P134(f327(f327(f274(x76941),x76942),x76944))+~P134(f327(f327(f227(a834),x76943),x76945))+P134(f327(f327(f274(x76941),f327(f327(f237(x76941),x76942),x76943)),f327(f327(f237(x76941),x76944),x76945))) % 153.71/153.55 [7727]~P7(x77271)+E(f327(f327(f44(x77271),f327(f327(f85(x77271),x77272),x77273)),f327(f327(f85(x77271),x77274),x77275)),f327(f327(f85(x77271),f327(f327(f44(x77271),x77272),x77274)),f327(f327(f44(x77271),x77273),x77275)))+~P134(f327(f327(f274(x77271),x77275),x77273))+~P134(f327(f327(f274(x77271),x77274),x77272)) % 153.71/153.55 [7731]~P77(x77311)+~P134(f327(f327(f228(x77311),x77313),x77315))+~P134(f327(f327(f228(x77311),x77312),x77314))+P134(f327(f327(f228(x77311),f327(f327(f84(x77311),x77312),x77313)),f327(f327(f84(x77311),x77314),x77315))) % 153.71/153.55 [7732]~P77(x77321)+~P134(f327(f327(f227(x77321),x77322),x77324))+~P134(f327(f327(f228(x77321),x77323),x77325))+P134(f327(f327(f228(x77321),f327(f327(f84(x77321),x77322),x77323)),f327(f327(f84(x77321),x77324),x77325))) % 153.71/153.55 [7733]~P77(x77331)+~P134(f327(f327(f227(x77331),x77333),x77335))+~P134(f327(f327(f228(x77331),x77332),x77334))+P134(f327(f327(f228(x77331),f327(f327(f84(x77331),x77332),x77333)),f327(f327(f84(x77331),x77334),x77335))) % 153.71/153.55 [7734]~P75(x77341)+~P134(f327(f327(f227(x77341),x77343),x77345))+~P134(f327(f327(f227(x77341),x77342),x77344))+P134(f327(f327(f227(x77341),f327(f327(f84(x77341),x77342),x77343)),f327(f327(f84(x77341),x77344),x77345))) % 153.71/153.55 [7735]~P97(x77351)+~P134(f327(f327(f227(x77351),x77353),x77355))+~P134(f327(f327(f227(x77351),x77352),x77354))+P134(f327(f327(f227(x77351),f327(f327(f231(x77351),x77352),x77353)),f327(f327(f231(x77351),x77354),x77355))) % 153.71/153.55 [7736]~P97(x77361)+~P134(f327(f327(f227(x77361),x77363),x77365))+~P134(f327(f327(f227(x77361),x77362),x77364))+P134(f327(f327(f227(x77361),f327(f327(f175(x77361),x77362),x77363)),f327(f327(f175(x77361),x77364),x77365))) % 153.71/153.55 [7737]~P94(x77371)+~P134(f327(f327(f227(x77371),x77373),x77375))+~P134(f327(f327(f227(x77371),x77372),x77374))+P134(f327(f327(f227(x77371),f327(f327(f100(x77371),x77372),x77373)),f327(f327(f100(x77371),x77374),x77375))) % 153.71/153.55 [7738]~P95(x77381)+~P134(f327(f327(f227(x77381),x77383),x77385))+~P134(f327(f327(f227(x77381),x77382),x77384))+P134(f327(f327(f227(x77381),f327(f327(f101(x77381),x77382),x77383)),f327(f327(f101(x77381),x77384),x77385))) % 153.71/153.55 [7739]~P82(x77391)+~P134(f327(f327(f274(x77391),x77393),x77395))+~P134(f327(f327(f274(x77391),x77392),x77394))+P134(f327(f327(f274(x77391),f327(f327(f85(x77391),x77392),x77393)),f327(f327(f85(x77391),x77394),x77395))) % 153.71/153.55 [7873]~P135(x78735)+E(x78731,x78732)+E(x78733,x78734)+~E(f327(f327(f84(x78735),f327(f327(f85(x78735),x78733),x78731)),f327(f327(f85(x78735),x78734),x78732)),f327(f327(f84(x78735),f327(f327(f85(x78735),x78733),x78732)),f327(f327(f85(x78735),x78734),x78731))) % 153.71/153.55 [8067]~P97(x80674)+~P134(f327(f124(x80671),x80673))+P134(f327(f327(f329(x80671),x80672),f327(f154(x80671),x80673)))+P134(f327(f124(x80671),f327(f327(f134(x80671,x80674,x80675),x80672),x80673))) % 153.71/153.55 [8210]~P65(x82101)+E(f327(f327(f84(x82101),f327(f327(f8(a834,x82101),x82102),f327(f289(a834,x82103),x82104))),f327(f327(f8(a834,x82101),x82102),f327(f289(a834,x82104),x82105))),f327(f327(f8(a834,x82101),x82102),f327(f289(a834,x82103),x82105)))+~P134(f327(f327(f227(a834),x82104),x82105))+~P134(f327(f327(f227(a834),x82103),x82104)) % 153.71/153.55 [8211]~P6(x82111)+E(f327(f327(f3(x82111),f327(f327(f8(a834,x82111),x82112),f327(f289(a834,x82113),x82114))),f327(f327(f8(a834,x82111),x82112),f327(f289(a834,x82113),x82115))),f327(f327(f8(a834,x82111),x82112),f327(f289(a834,x82115),x82114)))+~P134(f327(f327(f227(a834),x82115),x82114))+~P134(f327(f327(f227(a834),x82113),x82115)) % 153.71/153.55 [8516]~P59(x85162)+E(x85161,f2(x85162))+E(x85163,f2(x85162))+E(f327(f327(f278(x85162),f327(f327(f84(x85162),f327(f327(f85(x85162),x85164),x85161)),f327(f327(f85(x85162),x85165),x85163))),f327(f327(f85(x85162),x85163),x85161)),f327(f327(f84(x85162),f327(f327(f278(x85162),x85164),x85163)),f327(f327(f278(x85162),x85165),x85161))) % 153.71/153.55 [8517]~P59(x85172)+E(x85171,f2(x85172))+E(x85173,f2(x85172))+E(f327(f327(f278(x85172),f327(f327(f3(x85172),f327(f327(f85(x85172),x85174),x85171)),f327(f327(f85(x85172),x85175),x85173))),f327(f327(f85(x85172),x85173),x85171)),f327(f327(f3(x85172),f327(f327(f278(x85172),x85174),x85173)),f327(f327(f278(x85172),x85175),x85171))) % 153.71/153.55 [8526]~E(x85262,f327(x85263,x85261))+E(x85261,f505(x85262,x85263,x85264,x85265))+~P28(x85265,x85264,x85263,f234(f841(x85265,a831)))+~P134(f327(f327(f329(x85264),x85262),f327(f298(x85265,x85264,x85263),f234(f841(x85265,a831))))) % 153.71/153.55 [8711]~P107(x87111)+~P134(f327(f327(f228(x87111),f327(f79(x87111),x87112)),x87114))+P134(f327(f327(f228(x87111),f327(f327(f85(x87111),f327(f79(x87111),x87112)),f327(f79(x87111),x87113))),f327(f327(f85(x87111),x87114),x87115)))+~P134(f327(f327(f228(x87111),f327(f79(x87111),x87113)),x87115)) % 153.71/153.55 [8803]~P28(x88031,x88033,x88035,x88032)+~P134(f327(f66(x88033),x88034))+P134(f327(f327(f227(a834),f327(f43(x88031),x88032)),f327(f43(x88033),x88034)))+~P134(f327(f327(f227(f841(x88033,a831)),f327(f298(x88031,x88033,x88035),x88032)),x88034)) % 153.71/153.55 [8868]~P65(x88682)+~P28(x88681,x88681,x88684,x88685)+~P134(f327(f66(x88681),x88685))+E(f327(f327(f8(x88681,x88682),f327(f77(x88681,x88682,x88681,x88683),x88684)),x88685),f327(f327(f8(x88681,x88682),x88683),f327(f298(x88681,x88681,x88684),x88685))) % 153.71/153.55 [8869]~P68(x88692)+~P28(x88691,x88691,x88694,x88695)+~P134(f327(f66(x88691),x88695))+E(f327(f327(f11(x88691,x88692),f327(f77(x88691,x88692,x88691,x88693),x88694)),x88695),f327(f327(f11(x88691,x88692),x88693),f327(f298(x88691,x88691,x88694),x88695))) % 153.71/153.55 [8980]~P33(x89801,x89802)+~P134(f327(f327(f329(x89801),x89803),x89804))+~P134(f327(f327(f329(x89801),x89805),x89804))+~P134(f327(f327(f329(f840(x89801,x89801)),f327(f327(f236(x89801,x89801),x89805),f669(x89802,x89801,x89804))),x89802)) % 153.71/153.55 [9013]~P28(x90132,x90133,x90135,x90131)+E(x90131,f176(f841(x90132,a831)))+E(f327(f298(x90133,x90132,f507(x90134,x90133,x90132,x90131)),x90134),x90131)+~P134(f327(f327(f227(f841(x90133,a831)),f327(f298(x90132,x90133,x90135),x90131)),x90134)) % 153.71/153.55 [9456]~P97(x94565)+~P9(x94565)+P134(f327(f327(f329(x94561),f381(x94562,x94563,x94561,x94564,x94565)),x94563))+~P134(f327(f327(f228(x94565),x94564),f327(f327(f47(x94561,x94565),x94563),x94562))) % 153.71/153.55 [9461]~P97(x94611)+~P9(x94611)+P134(f327(f327(f228(x94611),x94612),f327(x94613,f381(x94613,x94614,x94615,x94612,x94611))))+~P134(f327(f327(f228(x94611),x94612),f327(f327(f47(x94615,x94611),x94614),x94613))) % 153.71/153.55 [9531]~P62(x95311)+~P134(f327(f71(x95311,x95311,f85(x95311),x95312,x95313),x95315))+P134(f327(f327(f329(x95311),x95312),x95313))+P134(f327(f71(x95311,x95311,f85(x95311),x95314,f327(f327(f297(x95311),x95312),x95313)),f327(f327(f85(x95311),x95314),x95315))) % 153.71/153.55 [9739]~P65(x97392)+~P134(f327(f66(x97391),x97395))+E(f327(f327(f8(x97391,x97392),f327(f327(f9(x97391,x97392,x97392),f327(f327(f20(x97391,x97392,f841(x97392,x97392)),f327(f327(f10(a831,f841(x97392,f841(x97392,x97392)),x97391),f95(x97392)),f327(a324,x97393))),x97394)),f2(x97392))),x97395),f2(x97392))+P134(f327(f327(f329(x97391),x97393),x97395)) % 153.71/153.55 [9740]~P68(x97402)+~P134(f327(f66(x97401),x97405))+E(f327(f327(f11(x97401,x97402),f327(f327(f9(x97401,x97402,x97402),f327(f327(f20(x97401,x97402,f841(x97402,x97402)),f327(f327(f10(a831,f841(x97402,f841(x97402,x97402)),x97401),f95(x97402)),f327(a324,x97403))),x97404)),f82(x97402))),x97405),f82(x97402))+P134(f327(f327(f329(x97401),x97403),x97405)) % 153.71/153.55 [9741]~P65(x97412)+~P134(f327(f66(x97411),x97415))+E(f327(f327(f8(x97411,x97412),f327(f327(f9(x97411,x97412,x97412),f327(f327(f20(x97411,x97412,f841(x97412,x97412)),f327(f327(f10(a831,f841(x97412,f841(x97412,x97412)),x97411),f95(x97412)),f327(a324,x97413))),x97414)),f2(x97412))),x97415),f327(x97414,x97413))+~P134(f327(f327(f329(x97411),x97413),x97415)) % 153.71/153.55 [9742]~P68(x97422)+~P134(f327(f66(x97421),x97425))+E(f327(f327(f11(x97421,x97422),f327(f327(f9(x97421,x97422,x97422),f327(f327(f20(x97421,x97422,f841(x97422,x97422)),f327(f327(f10(a831,f841(x97422,f841(x97422,x97422)),x97421),f95(x97422)),f327(a324,x97423))),x97424)),f82(x97422))),x97425),f327(x97424,x97423))+~P134(f327(f327(f329(x97421),x97423),x97425)) % 153.71/153.55 [9804]~P65(x98042)+~P134(f327(f66(x98041),x98045))+E(f327(f327(f8(x98041,x98042),f327(f327(f9(x98041,x98042,x98042),f327(f327(f20(x98041,x98042,f841(x98042,x98042)),f327(f327(f10(a831,f841(x98042,f841(x98042,x98042)),x98041),f95(x98042)),f327(f327(f9(x98041,x98041,a831),a324),x98043))),x98044)),f2(x98042))),x98045),f2(x98042))+P134(f327(f327(f329(x98041),x98043),x98045)) % 153.71/153.55 [9805]~P68(x98052)+~P134(f327(f66(x98051),x98055))+E(f327(f327(f11(x98051,x98052),f327(f327(f9(x98051,x98052,x98052),f327(f327(f20(x98051,x98052,f841(x98052,x98052)),f327(f327(f10(a831,f841(x98052,f841(x98052,x98052)),x98051),f95(x98052)),f327(f327(f9(x98051,x98051,a831),a324),x98053))),x98054)),f82(x98052))),x98055),f82(x98052))+P134(f327(f327(f329(x98051),x98053),x98055)) % 153.71/153.55 [9807]~P65(x98072)+~P134(f327(f66(x98071),x98075))+E(f327(f327(f8(x98071,x98072),f327(f327(f9(x98071,x98072,x98072),f327(f327(f20(x98071,x98072,f841(x98072,x98072)),f327(f327(f10(a831,f841(x98072,f841(x98072,x98072)),x98071),f95(x98072)),f327(f327(f9(x98071,x98071,a831),a324),x98073))),x98074)),f2(x98072))),x98075),f327(x98074,x98073))+~P134(f327(f327(f329(x98071),x98073),x98075)) % 153.71/153.55 [9808]~P68(x98082)+~P134(f327(f66(x98081),x98085))+E(f327(f327(f11(x98081,x98082),f327(f327(f9(x98081,x98082,x98082),f327(f327(f20(x98081,x98082,f841(x98082,x98082)),f327(f327(f10(a831,f841(x98082,f841(x98082,x98082)),x98081),f95(x98082)),f327(f327(f9(x98081,x98081,a831),a324),x98083))),x98084)),f82(x98082))),x98085),f327(x98084,x98083))+~P134(f327(f327(f329(x98081),x98083),x98085)) % 153.71/153.55 [7730]~P6(x77302)+~P134(f327(f66(x77301),x77304))+E(f327(f327(f8(x77301,x77302),x77303),f327(f327(f3(f841(x77301,a831)),x77304),f327(f327(f297(x77301),x77305),f176(f841(x77301,a831))))),f327(f327(f8(x77301,x77302),x77303),x77304))+P134(f327(f327(f329(x77301),x77305),x77304)) % 153.71/153.55 [8216]~P117(x82162)+~P134(f327(f66(x82161),x82164))+E(f327(f327(f8(x82161,x82162),x82163),f327(f327(f3(f841(x82161,a831)),x82164),f327(f327(f297(x82161),x82165),f176(f841(x82161,a831))))),f327(f327(f3(x82162),f327(f327(f8(x82161,x82162),x82163),x82164)),f327(x82163,x82165)))+~P134(f327(f327(f329(x82161),x82165),x82164)) % 153.71/153.55 [8217]~P6(x82172)+~P134(f327(f66(x82171),x82174))+E(f327(f327(f8(x82171,x82172),x82173),f327(f327(f3(f841(x82171,a831)),x82174),f327(f327(f297(x82171),x82175),f176(f841(x82171,a831))))),f327(f327(f3(x82172),f327(f327(f8(x82171,x82172),x82173),x82174)),f327(x82173,x82175)))+~P134(f327(f327(f329(x82171),x82175),x82174)) % 153.71/153.55 [8228]~P82(x82281)+~P134(f327(f327(f227(a834),x82283),x82285))+~P134(f327(f327(f274(x82281),f327(f327(f237(x82281),x82282),x82285)),x82284))+P134(f327(f327(f274(x82281),f327(f327(f237(x82281),x82282),x82283)),x82284)) % 153.71/153.55 [8245]~P6(x82451)+~P134(f327(f66(x82452),x82454))+E(f327(f327(f3(x82451),f327(f327(f8(x82452,x82451),x82453),x82454)),f327(f327(f8(x82452,x82451),x82453),x82455)),f327(f327(f8(x82452,x82451),x82453),f327(f327(f3(f841(x82452,a831)),x82454),x82455)))+~P134(f327(f327(f227(f841(x82452,a831)),x82455),x82454)) % 153.71/153.55 [8265]P134(f327(f66(x82651),f327(x82652,x82653)))+~P134(f327(f66(x82654),x82655))+~P134(f327(f327(f329(x82654),x82653),x82655))+~P134(f327(f66(x82651),f327(f327(f47(x82654,f841(x82651,a831)),x82655),x82652))) % 153.71/153.55 [8676]~P12(x86761,x86765,x86764)+~E(f327(f272(x86761,x86761,x86764),f327(f327(f297(x86761),x86762),f176(f841(x86761,a831)))),f327(f272(x86761,x86761,x86764),f327(f327(f297(x86761),x86763),f176(f841(x86761,a831)))))+~P134(f327(f327(f329(x86761),x86763),x86765))+P134(f327(f327(f329(f840(x86761,x86761)),f327(f327(f236(x86761,x86761),x86762),x86763)),x86764)) % 153.71/153.55 [8941]~P134(f327(x89411,x89415))+P134(f327(x89411,f371(x89411,x89412,x89413,x89414)))+P134(f327(x89411,f368(x89411,x89412,x89413,x89414)))+~P134(f327(f327(f329(x89414),x89415),f327(f327(f100(f841(x89414,a831)),x89413),x89412))) % 153.71/153.55 [9101]~P134(f327(x91011,x91015))+P134(f327(x91011,f368(x91011,x91012,x91013,x91014)))+P134(f327(f327(f329(x91014),f371(x91011,x91012,x91013,x91014)),x91012))+~P134(f327(f327(f329(x91014),x91015),f327(f327(f100(f841(x91014,a831)),x91013),x91012))) % 153.71/153.55 [9102]~P134(f327(x91021,x91025))+P134(f327(x91021,f371(x91021,x91022,x91023,x91024)))+P134(f327(f327(f329(x91024),f368(x91021,x91022,x91023,x91024)),x91023))+~P134(f327(f327(f329(x91024),x91025),f327(f327(f100(f841(x91024,a831)),x91023),x91022))) % 153.71/153.55 [9106]P134(f327(x91061,x91062))+~P134(f327(x91061,f370(x91061,x91063,x91064,x91065)))+~P134(f327(x91061,f369(x91061,x91063,x91064,x91065)))+~P134(f327(f327(f329(x91065),x91062),f327(f327(f100(f841(x91065,a831)),x91064),x91063))) % 153.71/153.55 [9141]E(x91411,x91412)+~P134(f327(f327(f329(f840(x91413,x91413)),f327(f327(f236(x91413,x91413),x91411),x91412)),f295(x91413,x91415)))+P134(f327(f327(f329(x91413),x91411),x91414))+~P134(f327(f327(f227(f841(f840(x91413,x91413),a831)),x91415),f327(f327(f243(x91413,x91413),x91414),f327(f18(f841(x91413,a831),x91413),x91414)))) % 153.71/153.55 [9158]P134(f327(x91581,x91582))+~P134(f327(x91581,f369(x91581,x91584,x91585,x91583)))+P134(f327(f327(f329(x91583),f370(x91581,x91584,x91585,x91583)),x91584))+~P134(f327(f327(f329(x91583),x91582),f327(f327(f100(f841(x91583,a831)),x91585),x91584))) % 153.71/153.55 [9159]P134(f327(x91591,x91592))+~P134(f327(x91591,f370(x91591,x91594,x91595,x91593)))+P134(f327(f327(f329(x91593),f369(x91591,x91594,x91595,x91593)),x91595))+~P134(f327(f327(f329(x91593),x91592),f327(f327(f100(f841(x91593,a831)),x91595),x91594))) % 153.71/153.55 [9220]P134(f327(x92201,x92202))+P134(f327(f327(f329(x92203),f370(x92201,x92204,x92205,x92203)),x92204))+P134(f327(f327(f329(x92203),f369(x92201,x92204,x92205,x92203)),x92205))+~P134(f327(f327(f329(x92203),x92202),f327(f327(f100(f841(x92203,a831)),x92205),x92204))) % 153.71/153.55 [9222]~P134(f327(x92222,x92225))+P134(f327(f327(f329(x92221),f371(x92222,x92223,x92224,x92221)),x92223))+P134(f327(f327(f329(x92221),f368(x92222,x92223,x92224,x92221)),x92224))+~P134(f327(f327(f329(x92221),x92225),f327(f327(f100(f841(x92221,a831)),x92224),x92223))) % 153.71/153.55 [9366]~P12(x93661,x93665,x93664)+~P134(f327(f327(f329(x93661),x93663),x93665))+P134(f327(f327(f329(f840(x93661,x93661)),f327(f327(f236(x93661,x93661),x93662),x93663)),x93664))+~P134(f327(f327(f227(f841(x93661,a831)),f327(f272(x93661,x93661,x93664),f327(f327(f297(x93661),x93663),f176(f841(x93661,a831))))),f327(f272(x93661,x93661,x93664),f327(f327(f297(x93661),x93662),f176(f841(x93661,a831)))))) % 153.71/153.55 [9485]~P97(x94855)+~P9(x94855)+P134(f327(f327(f329(x94851),f622(x94852,x94853,x94854,x94851,x94855)),x94854))+~P134(f327(f327(f228(x94855),f327(f327(f48(x94851,x94855),x94854),x94853)),x94852)) % 153.71/153.55 [9518]~P64(x95185)+~P75(x95185)+P134(f327(f327(f329(x95181),f736(x95182,x95183,x95184,x95181,x95185)),f327(f154(x95181),x95184)))+P134(f327(f327(f227(x95185),f327(f148(x95185),f327(f327(f138(x95181,x95185),x95183),x95184))),f327(f148(x95185),f327(f327(f138(x95181,x95185),x95182),x95184)))) % 153.71/153.55 [9613]~P97(x96131)+~P9(x96131)+P134(f327(f327(f228(x96131),f327(x96132,f622(x96133,x96132,x96134,x96135,x96131))),x96133))+~P134(f327(f327(f228(x96131),f327(f327(f48(x96135,x96131),x96134),x96132)),x96133)) % 153.71/153.55 [9756]~P64(x97561)+~P75(x97561)+~P134(f327(f327(f227(x97561),f327(x97563,f736(x97565,x97563,x97564,x97562,x97561))),f327(x97565,f736(x97565,x97563,x97564,x97562,x97561))))+P134(f327(f327(f227(x97561),f327(f148(x97561),f327(f327(f138(x97562,x97561),x97563),x97564))),f327(f148(x97561),f327(f327(f138(x97562,x97561),x97565),x97564)))) % 153.71/153.55 [8534]~P65(x85341)+~P134(f327(f66(x85344),x85345))+~P134(f327(f327(f329(x85344),x85343),x85345))+E(f327(f327(f84(x85341),f327(x85342,x85343)),f327(f327(f8(x85344,x85341),x85342),f327(f327(f3(f841(x85344,a831)),x85345),f327(f327(f297(x85344),x85343),f176(f841(x85344,a831)))))),f327(f327(f8(x85344,x85341),x85342),x85345)) % 153.71/153.55 [8535]~P68(x85351)+~P134(f327(f66(x85354),x85355))+~P134(f327(f327(f329(x85354),x85353),x85355))+E(f327(f327(f85(x85351),f327(x85352,x85353)),f327(f327(f11(x85354,x85351),x85352),f327(f327(f3(f841(x85354,a831)),x85355),f327(f327(f297(x85354),x85353),f176(f841(x85354,a831)))))),f327(f327(f11(x85354,x85351),x85352),x85355)) % 153.71/153.55 [8588]~P22(x85881,x85884,x85885)+~P134(f327(f66(x85881),x85882))+E(f327(f327(f3(f841(x85881,a831)),x85882),f327(f327(f297(x85881),x85883),f176(f841(x85881,a831)))),f176(f841(x85881,a831)))+E(f327(f327(x85884,x85883),f327(x85885,f327(f327(f3(f841(x85881,a831)),x85882),f327(f327(f297(x85881),x85883),f176(f841(x85881,a831)))))),f327(x85885,f327(f327(f297(x85881),x85883),x85882))) % 153.71/153.55 [8916]~P65(x89161)+~P134(f327(f66(x89162),x89165))+~P134(f327(f66(x89162),x89164))+E(f327(f327(f84(x89161),f327(f327(f8(x89162,x89161),x89163),f327(f327(f100(f841(x89162,a831)),x89164),x89165))),f327(f327(f8(x89162,x89161),x89163),f327(f327(f101(f841(x89162,a831)),x89164),x89165))),f327(f327(f84(x89161),f327(f327(f8(x89162,x89161),x89163),x89164)),f327(f327(f8(x89162,x89161),x89163),x89165))) % 153.71/153.55 [8918]~P68(x89181)+~P134(f327(f66(x89182),x89185))+~P134(f327(f66(x89182),x89184))+E(f327(f327(f85(x89181),f327(f327(f11(x89182,x89181),x89183),f327(f327(f100(f841(x89182,a831)),x89184),x89185))),f327(f327(f11(x89182,x89181),x89183),f327(f327(f101(f841(x89182,a831)),x89184),x89185))),f327(f327(f85(x89181),f327(f327(f11(x89182,x89181),x89183),x89184)),f327(f327(f11(x89182,x89181),x89183),x89185))) % 153.71/153.55 [9051]~P6(x90511)+~P134(f327(f66(x90512),x90515))+~P134(f327(f66(x90512),x90514))+E(f327(f327(f3(x90511),f327(f327(f84(x90511),f327(f327(f8(x90512,x90511),x90513),x90514)),f327(f327(f8(x90512,x90511),x90513),x90515))),f327(f327(f8(x90512,x90511),x90513),f327(f327(f101(f841(x90512,a831)),x90514),x90515))),f327(f327(f8(x90512,x90511),x90513),f327(f327(f100(f841(x90512,a831)),x90514),x90515))) % 153.71/153.55 [9234]~P28(x92341,x92342,x92343,x92345)+~P28(x92341,x92342,x92343,x92344)+P28(x92341,x92342,x92343,f327(f327(f100(f841(x92341,a831)),x92344),x92345))+~E(f327(f327(f101(f841(x92342,a831)),f327(f298(x92341,x92342,x92343),f327(f327(f3(f841(x92341,a831)),x92344),x92345))),f327(f298(x92341,x92342,x92343),f327(f327(f3(f841(x92341,a831)),x92345),x92344))),f176(f841(x92342,a831))) % 153.71/153.55 [9339]E(x93391,f2(a1))+~P134(f327(f327(f228(a1),f2(a1)),x93393))+~P134(f327(f57(x93392,x93391),f327(f327(f236(a1,a1),x93394),x93395)))+P134(f327(f57(x93392,f327(f327(f85(a1),x93391),x93393)),f327(f327(f236(a1,a1),f327(f327(f44(a1),x93394),x93393)),f327(f327(f84(a1),f327(f327(f85(a1),x93391),f53(a1,x93394,x93393))),x93395)))) % 153.71/153.55 [9347]~P134(f327(f327(f228(a834),f2(a834)),x93473))+~P134(f327(f327(f228(a834),f2(a834)),x93472))+~P134(f327(f56(x93471,x93472),f327(f327(f236(a834,a834),x93474),x93475)))+P134(f327(f56(x93471,f327(f327(f85(a834),x93472),x93473)),f327(f327(f236(a834,a834),f327(f327(f44(a834),x93474),x93473)),f327(f327(f84(a834),f327(f327(f85(a834),x93472),f53(a834,x93474,x93473))),x93475)))) % 153.71/153.55 [9398]E(f327(f327(f84(a1),f354(x93981,x93982,x93983,x93984,x93985)),f355(x93981,x93982,x93983,x93984,x93985)),x93985)+~P134(f327(f327(f274(a1),x93984),x93983))+~P134(f327(f327(f274(a1),x93984),f327(f327(f84(a1),x93985),x93981)))+P134(f327(f327(f274(a1),x93984),f327(f327(f84(a1),f327(f327(f3(a1),x93985),x93983)),x93981))) % 153.71/153.55 [9399]E(f327(f327(f3(a1),f356(x93991,x93992,x93993,x93994,x93995)),f357(x93991,x93992,x93993,x93994,x93995)),x93995)+~P134(f327(f327(f274(a1),x93994),x93993))+~P134(f327(f327(f274(a1),x93994),f327(f327(f84(a1),x93995),x93991)))+P134(f327(f327(f274(a1),x93994),f327(f327(f84(a1),f327(f327(f84(a1),x93995),x93993)),x93991))) % 153.71/153.55 [9400]~P68(x94001)+~P134(f327(f66(x94002),x94005))+~P134(f327(f66(x94002),x94004))+E(f327(f327(f85(x94001),f327(f327(f327(f70(x94001,x94002,f85(x94001)),x94003),f82(x94001)),f327(f327(f100(f841(x94002,a831)),x94004),x94005))),f327(f327(f327(f70(x94001,x94002,f85(x94001)),x94003),f82(x94001)),f327(f327(f101(f841(x94002,a831)),x94004),x94005))),f327(f327(f85(x94001),f327(f327(f327(f70(x94001,x94002,f85(x94001)),x94003),f82(x94001)),x94004)),f327(f327(f327(f70(x94001,x94002,f85(x94001)),x94003),f82(x94001)),x94005))) % 153.71/153.55 [9402]~E(f327(f327(f155(x94021),x94025),x94022),f327(f327(f155(x94021),x94025),x94023))+P134(f327(f327(f329(f840(f835(x94021),f835(x94021))),f327(f327(f236(f835(x94021),f835(x94021)),x94022),x94023)),f133(x94021,x94024)))+~P134(f327(f327(f228(a834),x94025),f327(f327(f231(a834),f327(f177(f835(x94021)),x94022)),f327(f177(f835(x94021)),x94023))))+~P134(f327(f327(f329(f840(x94021,x94021)),f327(f327(f236(x94021,x94021),f327(f327(f146(x94021),x94022),x94025)),f327(f327(f146(x94021),x94023),x94025))),x94024)) % 153.71/153.55 [9411]E(f327(f327(f84(a1),f360(x94111,x94112,x94113,x94114,x94115)),f361(x94111,x94112,x94113,x94114,x94115)),x94115)+~P134(f327(f327(f274(a1),x94114),x94113))+P134(f327(f327(f274(a1),x94114),f327(f327(f84(a1),x94115),x94111)))+~P134(f327(f327(f274(a1),x94114),f327(f327(f84(a1),f327(f327(f3(a1),x94115),x94113)),x94111))) % 153.71/153.55 [9412]E(f327(f327(f3(a1),f362(x94121,x94122,x94123,x94124,x94125)),f363(x94121,x94122,x94123,x94124,x94125)),x94125)+~P134(f327(f327(f274(a1),x94124),x94123))+P134(f327(f327(f274(a1),x94124),f327(f327(f84(a1),x94125),x94121)))+~P134(f327(f327(f274(a1),x94124),f327(f327(f84(a1),f327(f327(f84(a1),x94125),x94123)),x94121))) % 153.71/153.55 [9495]~P134(f327(f327(f274(a1),x94954),x94953))+P134(f327(f327(f329(a1),f354(x94951,x94952,x94953,x94954,x94955)),x94952))+~P134(f327(f327(f274(a1),x94954),f327(f327(f84(a1),x94955),x94951)))+P134(f327(f327(f274(a1),x94954),f327(f327(f84(a1),f327(f327(f3(a1),x94955),x94953)),x94951))) % 153.71/153.55 [9496]~P134(f327(f327(f274(a1),x94964),x94963))+P134(f327(f327(f329(a1),f356(x94961,x94962,x94963,x94964,x94965)),x94962))+~P134(f327(f327(f274(a1),x94964),f327(f327(f84(a1),x94965),x94961)))+P134(f327(f327(f274(a1),x94964),f327(f327(f84(a1),f327(f327(f84(a1),x94965),x94963)),x94961))) % 153.71/153.55 [9503]~P134(f327(f327(f274(a1),x95034),x95033))+P134(f327(f327(f329(a1),f355(x95031,x95032,x95033,x95034,x95035)),f290(a1,f82(a1),x95033)))+~P134(f327(f327(f274(a1),x95034),f327(f327(f84(a1),x95035),x95031)))+P134(f327(f327(f274(a1),x95034),f327(f327(f84(a1),f327(f327(f3(a1),x95035),x95033)),x95031))) % 153.71/153.55 [9504]~P134(f327(f327(f274(a1),x95044),x95043))+P134(f327(f327(f329(a1),f357(x95041,x95042,x95043,x95044,x95045)),f290(a1,f82(a1),x95043)))+~P134(f327(f327(f274(a1),x95044),f327(f327(f84(a1),x95045),x95041)))+P134(f327(f327(f274(a1),x95044),f327(f327(f84(a1),f327(f327(f84(a1),x95045),x95043)),x95041))) % 153.71/153.55 [9505]~P1(x95055)+~P75(x95055)+P134(f327(f327(f329(x95051),f428(x95052,x95053,x95054,x95051,x95055)),x95054))+P134(f327(f327(f227(x95055),f327(f327(f8(x95051,x95055),x95053),x95054)),f327(f327(f85(x95055),f327(f99(x95055),f327(f43(x95051),x95054))),x95052))) % 153.71/153.55 [9506]~P134(f327(f327(f274(a1),x95064),x95063))+P134(f327(f327(f329(a1),f362(x95061,x95062,x95063,x95064,x95065)),x95062))+P134(f327(f327(f274(a1),x95064),f327(f327(f84(a1),x95065),x95061)))+~P134(f327(f327(f274(a1),x95064),f327(f327(f84(a1),f327(f327(f84(a1),x95065),x95063)),x95061))) % 153.71/153.55 [9507]~P134(f327(f327(f274(a1),x95074),x95073))+P134(f327(f327(f329(a1),f360(x95071,x95072,x95073,x95074,x95075)),x95072))+P134(f327(f327(f274(a1),x95074),f327(f327(f84(a1),x95075),x95071)))+~P134(f327(f327(f274(a1),x95074),f327(f327(f84(a1),f327(f327(f3(a1),x95075),x95073)),x95071))) % 153.71/153.55 [9508]~P134(f327(f327(f274(a1),x95081),x95085))+P134(f327(f327(f329(a1),f363(x95083,x95084,x95085,x95081,x95082)),f290(a1,f82(a1),x95085)))+P134(f327(f327(f274(a1),x95081),f327(f327(f84(a1),x95082),x95083)))+~P134(f327(f327(f274(a1),x95081),f327(f327(f84(a1),f327(f327(f84(a1),x95082),x95085)),x95083))) % 153.71/153.55 [9509]~P134(f327(f327(f274(a1),x95091),x95095))+P134(f327(f327(f329(a1),f361(x95093,x95094,x95095,x95091,x95092)),f290(a1,f82(a1),x95095)))+P134(f327(f327(f274(a1),x95091),f327(f327(f84(a1),x95092),x95093)))+~P134(f327(f327(f274(a1),x95091),f327(f327(f84(a1),f327(f327(f3(a1),x95092),x95095)),x95093))) % 153.71/153.55 [9672]~P1(x96721)+~P75(x96721)+~P134(f327(f327(f227(x96721),f327(x96723,f428(x96725,x96723,x96724,x96722,x96721))),x96725))+P134(f327(f327(f227(x96721),f327(f327(f8(x96722,x96721),x96723),x96724)),f327(f327(f85(x96721),f327(f99(x96721),f327(f43(x96722),x96724))),x96725))) % 153.71/153.55 [8560]E(f327(f327(f122(x85601),x85602),x85603),f327(f327(f122(x85601),x85604),x85605))+~E(f327(f327(f155(x85601),f327(f177(f835(x85601)),x85602)),x85604),x85602)+~E(f327(f327(f122(x85601),f327(f327(f125(x85601),f327(f177(f835(x85601)),x85602)),x85604)),x85605),x85603)+P134(f327(f327(f227(a834),f327(f177(f835(x85601)),x85604)),f327(f177(f835(x85601)),x85602))) % 153.71/153.55 [8674]E(f327(f327(f122(x86741),x86742),x86743),f327(f327(f122(x86741),x86744),x86745))+~E(f327(f327(f155(x86741),f327(f177(f835(x86741)),x86742)),x86744),x86742)+~E(x86743,f327(f327(f122(x86741),f327(f327(f125(x86741),f327(f177(f835(x86741)),x86742)),x86744)),x86745))+~P134(f327(f327(f227(a834),f327(f177(f835(x86741)),x86742)),f327(f177(f835(x86741)),x86744))) % 153.71/153.55 [9823]~P134(f327(x98235,x98234))+~P134(f327(f66(x98232),f327(f251(x98232),x98235)))+P134(f327(f66(x98231),f327(f251(x98231),f327(f327(f9(x98231,x98232,a831),x98233),x98234))))+~P134(f327(f66(x98231),f327(f251(x98231),f327(f327(f10(f841(x98232,a831),a831,x98231),f91(x98232)),f327(f327(f10(f841(x98232,a831),f841(x98232,a831),x98231),f327(f20(x98232,a831,a831),f327(f327(f10(a831,f841(a831,a831),x98232),a325),x98235))),x98233))))) % 153.71/153.55 [7877]~P38(x78772,x78773,x78774,x78776)+~P38(f35(x78771,x78772),x78776,x78774,x78775)+P38(f35(x78771,x78772),x78773,x78774,x78775)+~P134(f327(x78771,x78773)) % 153.71/153.55 [8370]~P23(x83705,x83701,x83706,x83702)+E(f327(f77(x83701,x83701,x83701,f327(x83702,x83703)),f327(x83702,x83704)),f327(f77(x83701,x83701,x83701,f327(x83702,x83704)),f327(x83702,x83703)))+~P134(f327(f66(x83705),x83704))+~P134(f327(f66(x83705),x83703)) % 153.71/153.55 [7787]~P28(x77871,x77872,x77874,x77873)+~E(f327(x77874,x77876),x77875)+E(f327(f81(x77871,x77872,x77873,x77874),x77875),x77876)+~P134(f327(f327(f329(x77871),x77876),x77873)) % 153.71/153.55 [7974]~P24(x79746,x79741,x79744,x79742)+E(f327(f77(x79741,x79741,x79741,f327(x79742,x79743)),f327(x79744,x79745)),f327(x79742,x79743))+~P134(f327(f66(x79746),x79743))+~P134(f327(f327(f329(x79746),x79745),x79743)) % 153.71/153.55 [9089]~P23(x90893,x90891,x90896,x90892)+E(f327(f77(x90891,x90891,x90891,f327(x90892,f327(f327(f3(f841(x90893,a831)),x90894),f327(f327(f297(x90893),x90895),f176(f841(x90893,a831)))))),f327(x90896,x90895)),f327(x90892,x90894))+~P134(f327(f66(x90893),x90894))+~P134(f327(f327(f329(x90893),x90895),x90894)) % 153.71/153.55 [6842]~P7(x68421)+~E(f53(x68421,x68423,x68424),f53(x68421,x68426,x68424))+~E(f53(x68421,x68422,x68424),f53(x68421,x68425,x68424))+E(f53(x68421,f327(f327(f84(x68421),x68422),x68423),x68424),f53(x68421,f327(f327(f84(x68421),x68425),x68426),x68424)) % 153.71/153.55 [6843]~P7(x68431)+~E(f53(x68431,x68433,x68434),f53(x68431,x68436,x68434))+~E(f53(x68431,x68432,x68434),f53(x68431,x68435,x68434))+E(f53(x68431,f327(f327(f85(x68431),x68432),x68433),x68434),f53(x68431,f327(f327(f85(x68431),x68435),x68436),x68434)) % 153.71/153.55 [6844]~P8(x68441)+~E(f53(x68441,x68443,x68444),f53(x68441,x68446,x68444))+~E(f53(x68441,x68442,x68444),f53(x68441,x68445,x68444))+E(f53(x68441,f327(f327(f3(x68441),x68442),x68443),x68444),f53(x68441,f327(f327(f3(x68441),x68445),x68446),x68444)) % 153.71/153.55 [7678]~P20(x76781,x76782,x76783)+~P134(f327(f66(x76781),x76786))+E(f327(f327(f69(x76781,x76782,x76783),x76784),f327(f327(f297(x76781),x76785),x76786)),f327(f327(f69(x76781,x76782,x76783),f327(f327(x76783,x76785),x76784)),x76786))+P134(f327(f327(f329(x76781),x76785),x76786)) % 153.71/153.55 [7744]~P9(x77441)+P134(f327(f327(f227(x77441),x77442),f327(x77443,x77444)))+~P134(f327(f327(f329(x77445),x77444),x77446))+~P134(f327(f327(f227(x77441),x77442),f327(f327(f48(x77445,x77441),x77446),x77443))) % 153.71/153.55 [7902]~P20(x79021,x79022,x79023)+~P134(f327(f66(x79021),x79026))+E(f327(f327(f69(x79021,x79022,x79023),x79024),f327(f327(f297(x79021),x79025),x79026)),f327(f327(x79023,x79025),f327(f327(f69(x79021,x79022,x79023),x79024),x79026)))+P134(f327(f327(f329(x79021),x79025),x79026)) % 153.71/153.55 [7989]~P97(x79893)+~P134(f327(x79892,x79895))+~P18(x79893,f327(f327(f138(x79891,x79893),x79894),x79896))+E(f327(f123(x79891,x79892),f327(f327(f134(x79891,x79893,x79894),x79895),x79896)),f327(f327(f134(x79891,x79893,x79894),x79895),f327(f123(x79891,x79892),x79896))) % 153.71/153.55 [8011]E(x80111,x80112)+E(x80113,f2(a1))+~P134(f327(f57(x80114,x80113),f327(f327(f236(a1,a1),x80115),x80112)))+~P134(f327(f57(x80114,x80113),f327(f327(f236(a1,a1),x80116),x80111))) % 153.71/153.55 [8012]E(x80121,x80122)+E(x80123,f2(a1))+~P134(f327(f57(x80124,x80123),f327(f327(f236(a1,a1),x80122),x80125)))+~P134(f327(f57(x80124,x80123),f327(f327(f236(a1,a1),x80121),x80126))) % 153.71/153.55 [8034]~P23(x80342,x80345,x80346,x80341)+~P134(f327(f66(x80342),x80344))+E(f327(x80341,f327(f327(f297(x80342),x80343),x80344)),f327(f77(x80345,x80345,x80345,f327(x80341,x80344)),f327(x80346,x80343)))+P134(f327(f327(f329(x80342),x80343),x80344)) % 153.71/153.55 [8248]~P24(x82485,x82481,x82486,x82482)+E(f327(f77(x82481,x82481,x82481,f327(x82482,x82483)),f327(x82482,x82484)),f327(x82482,x82483))+~P134(f327(f66(x82485),x82483))+~P134(f327(f327(f227(f841(x82485,a831)),x82484),x82483)) % 153.71/153.55 [9278]~P28(x92781,x92782,x92784,x92783)+~P134(f327(f327(f329(x92782),x92785),f327(f298(x92781,x92782,x92784),x92783)))+P134(f327(f327(f329(x92781),f327(f81(x92781,x92782,x92783,x92784),x92785)),x92786))+~P134(f327(f327(f227(f841(x92781,a831)),x92783),x92786)) % 153.71/153.55 [9624]~P65(x96242)+~E(f481(x96241,x96243,x96245,x96246,x96244,x96242),f482(x96241,x96243,x96245,x96246,x96244,x96242))+~P134(f327(f66(x96244),x96246))+E(f327(f327(f8(x96241,x96242),x96243),f327(f298(x96244,x96241,x96245),x96246)),f327(f327(f8(x96244,x96242),f327(f77(x96241,x96242,x96244,x96243),x96245)),x96246)) % 153.71/153.55 [9652]~P65(x96526)+E(f327(x96521,f481(x96522,x96523,x96521,x96524,x96525,x96526)),f327(x96521,f482(x96522,x96523,x96521,x96524,x96525,x96526)))+E(f327(f327(f8(x96522,x96526),x96523),f327(f298(x96525,x96522,x96521),x96524)),f327(f327(f8(x96525,x96526),f327(f77(x96522,x96526,x96525,x96523),x96521)),x96524))+~P134(f327(f66(x96525),x96524)) % 153.71/153.55 [9706]~P65(x97062)+~E(f327(x97063,f327(x97065,f482(x97061,x97063,x97065,x97066,x97064,x97062))),f2(x97062))+~P134(f327(f66(x97064),x97066))+E(f327(f327(f8(x97061,x97062),x97063),f327(f298(x97064,x97061,x97065),x97066)),f327(f327(f8(x97064,x97062),f327(f77(x97061,x97062,x97064,x97063),x97065)),x97066)) % 153.71/153.55 [9766]~P65(x97662)+~P134(f327(f66(x97664),x97666))+E(f327(f327(f8(x97661,x97662),x97663),f327(f298(x97664,x97661,x97665),x97666)),f327(f327(f8(x97664,x97662),f327(f77(x97661,x97662,x97664,x97663),x97665)),x97666))+P134(f327(f327(f329(x97664),f482(x97661,x97663,x97665,x97666,x97664,x97662)),x97666)) % 153.71/153.55 [9767]~P65(x97672)+~P134(f327(f66(x97674),x97676))+E(f327(f327(f8(x97671,x97672),x97673),f327(f298(x97674,x97671,x97675),x97676)),f327(f327(f8(x97674,x97672),f327(f77(x97671,x97672,x97674,x97673),x97675)),x97676))+P134(f327(f327(f329(x97674),f481(x97671,x97673,x97675,x97676,x97674,x97672)),x97676)) % 153.71/153.55 [9885]~P68(x98851)+~P134(f327(f66(x98852),x98856))+E(f327(f327(f327(f70(x98851,x98852,f85(x98851)),f327(f327(f20(x98852,f841(x98853,a831),x98851),f327(f327(f9(x98852,x98851,f841(f841(x98853,a831),x98851)),f327(f327(f10(f841(x98853,x98851),f841(x98851,f841(f841(x98853,a831),x98851)),x98852),f70(x98851,x98853,f85(x98851))),x98854)),f82(x98851))),x98855)),f82(x98851)),x98856),f327(f327(f327(f70(x98851,f840(x98852,x98853),f85(x98851)),f327(f246(x98852,x98853,x98851),x98854)),f82(x98851)),f327(f327(f243(x98852,x98853),x98856),x98855)))+P134(f327(f327(f329(x98852),f529(x98854,x98855,x98853,x98856,x98852,x98851)),x98856)) % 153.71/153.55 [9901]~P68(x99011)+~P134(f327(f66(x99012),x99016))+E(f327(f327(f327(f70(x99011,x99012,f85(x99011)),f327(f327(f20(x99012,f841(x99013,a831),x99011),f327(f327(f9(x99012,x99011,f841(f841(x99013,a831),x99011)),f327(f327(f10(f841(x99013,x99011),f841(x99011,f841(f841(x99013,a831),x99011)),x99012),f70(x99011,x99013,f85(x99011))),x99014)),f82(x99011))),x99015)),f82(x99011)),x99016),f327(f327(f327(f70(x99011,f840(x99012,x99013),f85(x99011)),f327(f246(x99012,x99013,x99011),x99014)),f82(x99011)),f327(f327(f243(x99012,x99013),x99016),x99015)))+~P134(f327(f66(x99013),f327(x99015,f529(x99014,x99015,x99013,x99016,x99012,x99011)))) % 153.71/153.55 [8165]~P24(x81652,x81655,x81656,x81651)+~P134(f327(f66(x81652),x81654))+~P134(f327(f66(x81652),x81653))+E(f327(x81651,f327(f327(f100(f841(x81652,a831)),x81653),x81654)),f327(f77(x81655,x81655,x81655,f327(x81651,x81653)),f327(x81651,x81654))) % 153.71/153.55 [8372]~P9(x83721)+P134(f327(f327(f227(x83721),f327(x83722,x83723)),x83724))+~P134(f327(f327(f329(x83725),x83723),x83726))+~P134(f327(f327(f227(x83721),f327(f327(f47(x83725,x83721),x83726),x83722)),x83724)) % 153.71/153.55 [8744]~P28(x87442,x87441,x87443,x87446)+E(f327(f327(f3(f841(x87441,a831)),f327(f298(x87442,x87441,x87443),x87444)),f327(f298(x87442,x87441,x87443),x87445)),f327(f298(x87442,x87441,x87443),f327(f327(f3(f841(x87442,a831)),x87444),x87445)))+~P134(f327(f327(f227(f841(x87442,a831)),x87445),x87446))+~P134(f327(f327(f227(f841(x87442,a831)),x87444),x87446)) % 153.71/153.55 [8745]~P28(x87452,x87451,x87453,x87456)+E(f327(f327(f101(f841(x87451,a831)),f327(f298(x87452,x87451,x87453),x87454)),f327(f298(x87452,x87451,x87453),x87455)),f327(f298(x87452,x87451,x87453),f327(f327(f101(f841(x87452,a831)),x87454),x87455)))+~P134(f327(f327(f227(f841(x87452,a831)),x87455),x87456))+~P134(f327(f327(f227(f841(x87452,a831)),x87454),x87456)) % 153.71/153.55 [8982]E(x89821,x89822)+~P51(x89823,x89824,x89825)+~P134(f327(f327(f329(f840(x89823,x89824)),f327(f327(f236(x89823,x89824),x89826),x89822)),x89825))+~P134(f327(f327(f329(f840(x89823,x89824)),f327(f327(f236(x89823,x89824),x89826),x89821)),x89825)) % 153.71/153.55 [9564]~P65(x95641)+~P134(f327(f66(x95643),x95646))+~P134(f327(f66(x95642),x95645))+E(f327(f327(f84(x95641),f327(f327(f8(x95642,x95641),f327(f77(f842(x95642,x95643),x95641,x95642,x95644),f299(x95642,x95643))),x95645)),f327(f327(f8(x95643,x95641),f327(f77(f842(x95642,x95643),x95641,x95643,x95644),f308(x95643,x95642))),x95646)),f327(f327(f8(f842(x95642,x95643),x95641),x95644),f309(x95642,x95643,x95645,x95646))) % 153.71/153.55 [9702]~P62(x97021)+~E(f327(x97023,f613(x97024,x97026,x97023,x97025,x97022,x97021)),f327(x97026,f613(x97024,x97026,x97023,x97025,x97022,x97021)))+~P134(f327(f66(x97022),x97025))+E(f327(f327(f327(f70(x97021,x97022,f85(x97021)),x97023),x97024),x97025),f327(f327(f327(f70(x97021,x97022,f85(x97021)),x97026),x97024),x97025)) % 153.71/153.55 [9763]~P62(x97631)+~P134(f327(f66(x97632),x97635))+E(f327(f327(f327(f70(x97631,x97632,f85(x97631)),x97633),x97634),x97635),f327(f327(f327(f70(x97631,x97632,f85(x97631)),x97636),x97634),x97635))+P134(f327(f327(f329(x97632),f613(x97634,x97633,x97636,x97635,x97632,x97631)),x97635)) % 153.71/153.55 [8573]~P62(x85731)+~P134(f327(f66(x85732),x85736))+P134(f327(f327(f329(x85732),x85735),x85736))+E(f327(f327(f327(f70(x85731,x85732,f85(x85731)),x85733),x85734),f327(f327(f297(x85732),x85735),x85736)),f327(f327(f85(x85731),f327(x85733,x85735)),f327(f327(f327(f70(x85731,x85732,f85(x85731)),x85733),x85734),x85736))) % 153.71/153.55 [8618]~P12(x86181,x86186,x86183)+~P16(x86181,f841(x86182,a831),x86183,x86185)+~P134(f327(f327(f329(x86181),x86184),x86186))+E(f327(f327(f47(x86181,f841(x86182,a831)),f327(f272(x86181,x86181,x86183),f327(f327(f297(x86181),x86184),f176(f841(x86181,a831))))),x86185),f327(x86185,x86184)) % 153.71/153.55 [8725]~P20(x87253,x87254,x87251)+~P134(f327(f66(x87253),x87256))+~P134(f327(f327(f329(x87253),x87252),x87256))+E(f327(f327(x87251,x87252),f327(f327(f69(x87253,x87254,x87251),x87255),f327(f327(f3(f841(x87253,a831)),x87256),f327(f327(f297(x87253),x87252),f176(f841(x87253,a831)))))),f327(f327(f69(x87253,x87254,x87251),x87255),x87256)) % 153.71/153.55 [8992]~P23(x89923,x89921,x89926,x89922)+~P134(f327(f66(x89923),x89925))+~P134(f327(f66(x89923),x89924))+E(f327(f77(x89921,x89921,x89921,f327(x89922,f327(f327(f100(f841(x89923,a831)),x89924),x89925))),f327(x89922,f327(f327(f101(f841(x89923,a831)),x89924),x89925))),f327(f77(x89921,x89921,x89921,f327(x89922,x89924)),f327(x89922,x89925))) % 153.71/153.55 [9298]~E(x92983,f327(f327(f143(x92981,x92982),x92985),x92986))+P134(f327(f327(f329(f840(f835(x92981),f835(x92981))),f327(f327(f236(f835(x92981),f835(x92981)),x92982),x92983)),f141(x92981,x92984)))+~P134(f327(f327(f228(a834),x92985),f327(f177(f835(x92981)),x92982)))+~P134(f327(f327(f329(f840(x92981,x92981)),f327(f327(f236(x92981,x92981),f327(f327(f146(x92981),x92982),x92985)),x92986)),x92984)) % 153.71/153.55 [9783]~P65(x97832)+~P134(f327(f66(x97831),x97836))+P134(f327(f327(f329(x97831),f530(x97834,x97835,x97833,x97836,x97831,x97832)),x97836))+E(f327(f327(f8(x97831,x97832),f327(f327(f20(x97831,f841(x97833,a831),x97832),f327(f327(f10(f841(x97833,x97832),f841(f841(x97833,a831),x97832),x97831),f8(x97833,x97832)),x97834)),x97835)),x97836),f327(f327(f8(f840(x97831,x97833),x97832),f327(f246(x97831,x97833,x97832),x97834)),f327(f327(f243(x97831,x97833),x97836),x97835))) % 153.71/153.55 [9784]~P68(x97842)+~P134(f327(f66(x97841),x97846))+P134(f327(f327(f329(x97841),f531(x97844,x97845,x97843,x97846,x97841,x97842)),x97846))+E(f327(f327(f11(x97841,x97842),f327(f327(f20(x97841,f841(x97843,a831),x97842),f327(f327(f10(f841(x97843,x97842),f841(f841(x97843,a831),x97842),x97841),f11(x97843,x97842)),x97844)),x97845)),x97846),f327(f327(f11(f840(x97841,x97843),x97842),f327(f246(x97841,x97843,x97842),x97844)),f327(f327(f243(x97841,x97843),x97846),x97845))) % 153.71/153.55 [9821]~P65(x98212)+~P134(f327(f66(x98211),x98216))+~P134(f327(f66(x98213),f327(x98215,f530(x98214,x98215,x98213,x98216,x98211,x98212))))+E(f327(f327(f8(x98211,x98212),f327(f327(f20(x98211,f841(x98213,a831),x98212),f327(f327(f10(f841(x98213,x98212),f841(f841(x98213,a831),x98212),x98211),f8(x98213,x98212)),x98214)),x98215)),x98216),f327(f327(f8(f840(x98211,x98213),x98212),f327(f246(x98211,x98213,x98212),x98214)),f327(f327(f243(x98211,x98213),x98216),x98215))) % 153.71/153.55 [9822]~P68(x98222)+~P134(f327(f66(x98221),x98226))+~P134(f327(f66(x98223),f327(x98225,f531(x98224,x98225,x98223,x98226,x98221,x98222))))+E(f327(f327(f11(x98221,x98222),f327(f327(f20(x98221,f841(x98223,a831),x98222),f327(f327(f10(f841(x98223,x98222),f841(f841(x98223,a831),x98222),x98221),f11(x98223,x98222)),x98224)),x98225)),x98226),f327(f327(f11(f840(x98221,x98223),x98222),f327(f246(x98221,x98223,x98222),x98224)),f327(f327(f243(x98221,x98223),x98226),x98225))) % 153.71/153.55 [9806]~P68(x98062)+~P134(f327(f66(x98061),x98066))+P134(f327(f327(f329(x98061),x98063),x98066))+E(f327(f327(f11(x98061,x98062),f327(f327(f9(x98061,x98062,x98062),f327(f327(f20(x98061,x98062,f841(x98062,x98062)),f327(f327(f10(a831,f841(x98062,f841(x98062,x98062)),x98061),f95(x98062)),f327(f327(f9(x98061,x98061,a831),a324),x98063))),x98064)),x98065)),x98066),f327(f327(f237(x98062),x98065),f327(f43(x98061),x98066))) % 153.71/153.55 [9809]~P68(x98092)+~P134(f327(f66(x98091),x98096))+~P134(f327(f327(f329(x98091),x98093),x98096))+E(f327(f327(f11(x98091,x98092),f327(f327(f9(x98091,x98092,x98092),f327(f327(f20(x98091,x98092,f841(x98092,x98092)),f327(f327(f10(a831,f841(x98092,f841(x98092,x98092)),x98091),f95(x98092)),f327(f327(f9(x98091,x98091,a831),a324),x98093))),x98094)),x98095)),x98096),f327(f327(f85(x98092),f327(x98094,x98093)),f327(f327(f237(x98092),x98095),f327(f327(f3(a834),f327(f43(x98091),x98096)),f82(a834))))) % 153.71/153.55 [9872]~P134(f327(f66(x98721),x98725))+~P134(f327(f66(x98722),x98723))+P134(f327(f327(f329(x98722),f563(x98726,x98724,x98723,x98722,x98725,x98721)),x98723))+E(f327(f327(f8(x98721,a834),f327(f327(f10(f841(x98722,a831),a834,x98721),f43(x98722)),f327(f327(f10(f841(x98722,a831),f841(x98722,a831),x98721),f251(x98722)),f327(f327(f10(f841(x98722,a831),f841(x98722,a831),x98721),f327(f20(x98722,a831,a831),f327(f327(f10(a831,f841(a831,a831),x98722),a325),f327(f327(f9(x98722,f841(x98722,a831),a831),f329(x98722)),x98723)))),x98724)))),x98725),f327(f327(f85(a834),x98726),f327(f43(x98722),x98723))) % 153.71/153.55 [9873]~P134(f327(f66(x98731),x98735))+~P134(f327(f66(x98732),x98733))+P134(f327(f327(f329(x98732),f564(x98736,x98734,x98733,x98732,x98735,x98731)),x98733))+E(f327(f327(f8(x98731,a834),f327(f327(f10(f841(x98732,a831),a834,x98731),f43(x98732)),f327(f327(f10(f841(x98732,a831),f841(x98732,a831),x98731),f251(x98732)),f327(f327(f10(f841(x98732,a831),f841(x98732,a831),x98731),f327(f20(x98732,a831,a831),f327(f327(f10(a831,f841(a831,a831),x98732),a325),f327(f327(f9(x98732,f841(x98732,a831),a831),f329(x98732)),x98733)))),x98734)))),x98735),f327(f327(f8(x98732,a834),x98736),x98733)) % 153.71/153.55 [9907]~P134(f327(f66(x99072),x99073))+~P134(f327(f66(x99071),x99075))+~E(f327(f43(x99071),f327(f251(x99071),f327(f327(f20(x99071,a831,a831),f327(f327(f10(a831,f841(a831,a831),x99071),a325),f327(f327(f9(x99071,f841(x99071,a831),a831),f329(x99071)),x99075))),f327(f327(f9(x99071,x99072,a831),x99074),f563(x99076,x99074,x99073,x99072,x99075,x99071))))),x99076)+E(f327(f327(f8(x99071,a834),f327(f327(f10(f841(x99072,a831),a834,x99071),f43(x99072)),f327(f327(f10(f841(x99072,a831),f841(x99072,a831),x99071),f251(x99072)),f327(f327(f10(f841(x99072,a831),f841(x99072,a831),x99071),f327(f20(x99072,a831,a831),f327(f327(f10(a831,f841(a831,a831),x99072),a325),f327(f327(f9(x99072,f841(x99072,a831),a831),f329(x99072)),x99073)))),x99074)))),x99075),f327(f327(f85(a834),x99076),f327(f43(x99072),x99073))) % 153.71/153.55 [9909]~P134(f327(f66(x99092),x99093))+~P134(f327(f66(x99091),x99095))+~E(f327(f43(x99091),f327(f251(x99091),f327(f327(f20(x99091,a831,a831),f327(f327(f10(a831,f841(a831,a831),x99091),a325),f327(f327(f9(x99091,f841(x99091,a831),a831),f329(x99091)),x99095))),f327(f327(f9(x99091,x99092,a831),x99094),f564(x99096,x99094,x99093,x99092,x99095,x99091))))),f327(x99096,f564(x99096,x99094,x99093,x99092,x99095,x99091)))+E(f327(f327(f8(x99091,a834),f327(f327(f10(f841(x99092,a831),a834,x99091),f43(x99092)),f327(f327(f10(f841(x99092,a831),f841(x99092,a831),x99091),f251(x99092)),f327(f327(f10(f841(x99092,a831),f841(x99092,a831),x99091),f327(f20(x99092,a831,a831),f327(f327(f10(a831,f841(a831,a831),x99092),a325),f327(f327(f9(x99092,f841(x99092,a831),a831),f329(x99092)),x99093)))),x99094)))),x99095),f327(f327(f8(x99092,a834),x99096),x99093)) % 153.71/153.55 [9563]E(x95631,x95632)+~P20(x95633,x95634,x95635)+~P134(f327(f71(x95633,x95634,x95635,x95636,x95637),x95632))+~P134(f327(f71(x95633,x95634,x95635,x95636,x95637),x95631)) % 153.71/153.55 [9369]P134(f327(x93691,x93692))+~P134(f327(f327(f329(x93697),x93692),f327(x93696,x93694)))+~P134(f327(x93691,f372(x93691,x93696,x93695,x93693,x93697)))+~P134(f327(f327(f329(x93693),x93694),x93695)) % 153.71/153.55 [9798]~P20(x97987,x97986,x97981)+E(f327(f327(x97981,x97982),f621(x97982,x97983,x97984,x97985,x97981,x97986,x97987)),x97983)+~P134(f327(f71(x97987,x97986,x97981,x97985,x97984),x97983))+~P134(f327(f327(f329(x97987),x97982),x97984)) % 153.71/153.55 [9857]~P20(x98571,x98572,x98573)+~P134(f327(f71(x98571,x98572,x98573,x98574,x98575),x98577))+P134(f327(f71(x98571,x98572,x98573,x98574,f327(f327(f3(f841(x98571,a831)),x98575),f327(f327(f297(x98571),x98576),f176(f841(x98571,a831))))),f621(x98576,x98577,x98575,x98574,x98573,x98572,x98571)))+~P134(f327(f327(f329(x98571),x98576),x98575)) % 153.71/153.55 [9274]~P62(x92741)+~P28(x92745,x92742,x92746,x92747)+~P134(f327(f66(x92745),x92747))+E(f327(f327(f327(f70(x92741,x92742,f85(x92741)),x92743),x92744),f327(f298(x92745,x92742,x92746),x92747)),f327(f327(f327(f70(x92741,x92745,f85(x92741)),f327(f77(x92742,x92741,x92745,x92743),x92746)),x92744),x92747)) % 153.71/153.55 [9393]~E(f327(f327(f297(x93931),x93935),x93936),f327(f327(f297(x93931),x93932),x93933))+~P134(f327(f71(x93931,x93931,x93934,x93932,x93933),x93937))+P134(f327(f327(f329(x93931),x93932),x93933))+P134(f327(f67(x93931,x93934,f327(f327(f297(x93931),x93935),x93936)),x93937)) % 153.71/153.55 [9473]P134(f327(x94731,x94732))+~P134(f327(f327(f329(x94733),x94732),f327(x94734,x94737)))+~P134(f327(f327(f329(x94736),x94737),x94735))+P134(f327(f327(f329(x94733),f372(x94731,x94734,x94735,x94736,x94733)),f327(f327(f47(x94736,f841(x94733,a831)),x94735),x94734))) % 153.71/153.55 [9486]~P28(x94862,x94861,x94865,x94864)+~P28(x94861,x94863,x94866,f327(f298(x94862,x94861,x94865),x94864))+E(f327(f327(f77(x94861,x94862,x94863,f81(x94862,x94861,x94864,x94865)),f81(x94861,x94863,f327(f298(x94862,x94861,x94865),x94864),x94866)),x94867),f327(f81(x94862,x94863,x94864,f327(f77(x94861,x94863,x94862,x94866),x94865)),x94867))+~P134(f327(f327(f329(x94863),x94867),f327(f298(x94861,x94863,x94866),f327(f298(x94862,x94861,x94865),x94864)))) % 153.71/153.55 [9799]~P20(x97997,x97996,x97991)+E(f327(f327(x97991,x97992),f658(x97993,x97994,x97992,x97995,x97991,x97996,x97997)),x97993)+P134(f327(f327(f329(x97997),x97992),x97994))+~P134(f327(f71(x97997,x97996,x97991,x97995,f327(f327(f297(x97997),x97992),x97994)),x97993)) % 153.71/153.55 [9856]~P20(x98561,x98564,x98565)+P134(f327(f71(x98561,x98564,x98565,x98566,x98563),f658(x98567,x98563,x98562,x98566,x98565,x98564,x98561)))+P134(f327(f327(f329(x98561),x98562),x98563))+~P134(f327(f71(x98561,x98564,x98565,x98566,f327(f327(f297(x98561),x98562),x98563)),x98567)) % 153.71/153.55 [9546]E(x95461,f2(a1))+~P134(f327(f57(x95463,x95461),f327(f327(f236(a1,a1),x95465),x95467)))+~P134(f327(f57(x95462,x95461),f327(f327(f236(a1,a1),x95464),x95466)))+P134(f327(f57(f327(f327(f84(a1),x95462),x95463),x95461),f327(f327(f236(a1,a1),f327(f327(f84(a1),f327(f327(f84(a1),x95464),x95465)),f327(f327(f44(a1),f327(f327(f84(a1),x95466),x95467)),x95461))),f53(a1,f327(f327(f84(a1),x95466),x95467),x95461)))) % 153.71/153.55 [9548]~P134(f327(f327(f228(a834),f2(a834)),x95483))+~P134(f327(f56(x95482,x95483),f327(f327(f236(a834,a834),x95485),x95487)))+~P134(f327(f56(x95481,x95483),f327(f327(f236(a834,a834),x95484),x95486)))+P134(f327(f56(f327(f327(f84(a834),x95481),x95482),x95483),f327(f327(f236(a834,a834),f327(f327(f84(a834),f327(f327(f84(a834),x95484),x95485)),f327(f327(f44(a834),f327(f327(f84(a834),x95486),x95487)),x95483))),f53(a834,f327(f327(f84(a834),x95486),x95487),x95483)))) % 153.71/153.55 [9906]~P65(x99062)+~P134(f327(f66(x99063),x99065))+~P134(f327(f66(x99061),x99067))+E(f327(f327(f8(x99061,x99062),f327(f327(f20(x99061,f841(x99063,a831),x99062),f327(f327(f10(f841(x99063,x99062),f841(f841(x99063,a831),x99062),x99061),f8(x99063,x99062)),x99064)),f327(f327(f10(f841(x99063,a831),f841(x99063,a831),x99061),f251(x99063)),f327(f327(f10(f841(x99063,a831),f841(x99063,a831),x99061),f327(f20(x99063,a831,a831),f327(f327(f10(a831,f841(a831,a831),x99063),a325),f327(f327(f9(x99063,f841(x99063,a831),a831),f329(x99063)),x99065)))),x99066)))),x99067),f327(f327(f8(x99063,x99062),f327(f327(f20(x99063,f841(x99061,a831),x99062),f327(f327(f10(f841(x99061,x99062),f841(f841(x99061,a831),x99062),x99063),f8(x99061,x99062)),f327(f9(x99061,x99063,x99062),x99064))),f327(f327(f10(f841(x99061,a831),f841(x99061,a831),x99063),f251(x99061)),f327(f327(f10(f841(x99061,a831),f841(x99061,a831),x99063),f327(f20(x99061,a831,a831),f327(f327(f10(a831,f841(a831,a831),x99061),a325),f327(f327(f9(x99061,f841(x99061,a831),a831),f329(x99061)),x99067)))),f327(f9(x99061,x99063,a831),x99066))))),x99065)) % 153.71/153.55 [9431]~P26(x94317,x94316,x94311,x94318,x94312,x94314)+E(f327(f327(x94311,f327(x94312,x94313)),f327(x94314,x94315)),f327(x94314,x94315))+~P134(f327(f66(x94316),x94315))+~P134(f327(f327(f329(x94316),x94313),x94315)) % 153.71/153.55 [9435]~P17(x94356,x94351,x94352,x94358,x94353,x94354)+~P12(x94356,x94357,x94358)+P16(x94351,x94352,x94353,f327(x94354,x94355))+~P134(f327(f327(f329(x94356),x94355),x94357)) % 153.71/153.55 [9079]~P23(x90797,x90791,x90798,x90793)+~P134(f327(f66(x90797),x90795))+~P134(f327(f66(x90797),x90794))+E(f327(f77(x90791,x90791,x90792,f327(x90793,x90794)),f327(f77(x90791,x90791,x90792,f327(x90793,x90795)),x90796)),f327(f77(x90791,x90791,x90792,f327(x90793,x90795)),f327(f77(x90791,x90791,x90792,f327(x90793,x90794)),x90796))) % 153.71/153.55 [9148]~P28(x91482,x91482,x91485,x91486)+~P25(x91483,x91482,x91487,x91488,x91481)+~P134(f327(f66(x91482),x91486))+E(f327(f327(x91481,f327(f77(x91482,x91483,x91482,x91484),x91485)),x91486),f327(f327(x91481,x91484),f327(f298(x91482,x91482,x91485),x91486))) % 153.71/153.55 [9433]~P27(x94337,x94332,x94335,x94338,x94336,x94331)+~P134(f327(f66(x94332),x94334))+E(f327(x94331,f327(f327(f297(x94332),x94333),x94334)),f327(f327(x94335,f327(x94336,x94333)),f327(x94331,x94334)))+P134(f327(f327(f329(x94332),x94333),x94334)) % 153.71/153.55 [9440]~P26(x94406,x94405,x94401,x94407,x94408,x94402)+E(f327(f327(x94401,f327(x94402,x94403)),f327(x94402,x94404)),f327(x94402,x94404))+~P134(f327(f66(x94405),x94404))+~P134(f327(f327(f227(f841(x94405,a831)),x94403),x94404)) % 153.71/153.55 [9066]P134(f327(f327(f329(f840(f835(x90661),f835(x90661))),f327(f327(f236(f835(x90661),f835(x90661)),x90662),x90663)),f141(x90661,x90664)))+~E(x90663,f327(f327(f122(x90661),x90665),f327(f327(f136(x90661),x90666),x90667)))+~E(x90662,f327(f327(f122(x90661),x90665),f327(f327(f136(x90661),x90668),x90667)))+~P134(f327(f327(f329(f840(x90661,x90661)),f327(f327(f236(x90661,x90661),x90668),x90666)),x90664)) % 153.71/153.55 [9436]~P26(x94366,x94362,x94365,x94367,x94368,x94361)+~P134(f327(f66(x94362),x94364))+~P134(f327(f66(x94362),x94363))+E(f327(x94361,f327(f327(f100(f841(x94362,a831)),x94363),x94364)),f327(f327(x94365,f327(x94361,x94363)),f327(x94361,x94364))) % 153.71/153.55 [9945]~P28(x99454,x99452,x99455,x99458)+E(f327(f327(f48(x99451,f841(x99452,a831)),x99453),f327(f327(f10(f841(x99454,a831),f841(x99452,a831),x99451),f298(x99454,x99452,x99455)),x99456)),f327(f298(x99454,x99452,x99455),f327(f327(f48(x99451,f841(x99454,a831)),x99453),x99456)))+~P134(f327(f327(f329(x99451),x99457),x99453))+P134(f327(f327(f329(x99451),f631(x99457,x99456,x99453,x99451,x99458,x99455,x99452,x99454)),x99453)) % 153.71/153.55 [9961]~P28(x99614,x99612,x99615,x99617)+E(f327(f327(f48(x99611,f841(x99612,a831)),x99613),f327(f327(f10(f841(x99614,a831),f841(x99612,a831),x99611),f298(x99614,x99612,x99615)),x99616)),f327(f298(x99614,x99612,x99615),f327(f327(f48(x99611,f841(x99614,a831)),x99613),x99616)))+~P134(f327(f327(f329(x99611),x99618),x99613))+~P134(f327(f327(f227(f841(x99614,a831)),f327(x99616,f631(x99618,x99616,x99613,x99611,x99617,x99615,x99612,x99614))),x99617)) % 153.71/153.55 [9492]~P27(x94927,x94925,x94921,x94928,x94922,x94924)+~P134(f327(f66(x94925),x94926))+~P134(f327(f327(f329(x94925),x94923),x94926))+E(f327(f327(x94921,f327(x94922,x94923)),f327(x94924,f327(f327(f3(f841(x94925,a831)),x94926),f327(f327(f297(x94925),x94923),f176(f841(x94925,a831)))))),f327(x94924,x94926)) % 153.71/153.55 [9501]~P27(x95016,x95013,x95011,x95017,x95018,x95012)+~P134(f327(f66(x95013),x95015))+~P134(f327(f66(x95013),x95014))+E(f327(f327(x95011,f327(x95012,f327(f327(f100(f841(x95013,a831)),x95014),x95015))),f327(x95012,f327(f327(f101(f841(x95013,a831)),x95014),x95015))),f327(f327(x95011,f327(x95012,x95014)),f327(x95012,x95015))) % 153.71/153.55 [9582]P39(x95821,x95822,x95823,x95824,x95825,f327(f327(x95823,x95826),x95827))+~P39(x95821,x95822,x95823,x95824,f327(f327(f3(f841(x95821,a831)),x95825),f327(f327(f297(x95821),x95828),f176(f841(x95821,a831)))),x95829)+~E(f327(f327(x95823,x95826),x95827),f327(f327(x95823,x95828),x95829))+~P134(f327(f327(f329(x95821),x95828),x95825)) % 153.71/153.55 [9525]~P17(x95256,x95257,x95258,x95259,x952510,x95251)+E(f327(f327(x95251,x95252),x95253),f327(f327(x95251,x95254),x95255))+~P134(f327(f327(f329(f840(x95257,x95257)),f327(f327(f236(x95257,x95257),x95253),x95255)),x952510))+~P134(f327(f327(f329(f840(x95256,x95256)),f327(f327(f236(x95256,x95256),x95252),x95254)),x95259)) % 153.71/153.55 [6773]E(x67731,x67732)+~P134(f327(f327(f227(a1),f2(a1)),x67732))+~P134(f327(f327(f227(a1),f2(a1)),x67731))+~P134(f327(f327(f274(a1),x67732),x67731))+~P134(f327(f327(f274(a1),x67731),x67732)) % 153.71/153.55 [9150]~P89(x91502)+E(x91501,f176(f841(x91502,a831)))+~P134(f327(f66(x91502),x91501))+P134(f327(f327(f329(x91502),f15(x91502,x91501)),x91501))+~P134(f327(f327(f329(x91502),f327(f327(f100(x91502),f435(x91501,x91502)),f437(x91501,x91502))),f327(f327(f297(x91502),f435(x91501,x91502)),f327(f327(f297(x91502),f437(x91501,x91502)),f176(f841(x91502,a831)))))) % 153.71/153.55 [9153]~P89(x91532)+E(x91531,f176(f841(x91532,a831)))+~P134(f327(f66(x91532),x91531))+P134(f327(f327(f329(x91532),f12(x91532,x91531)),x91531))+~P134(f327(f327(f329(x91532),f327(f327(f101(x91532),f497(x91531,x91532)),f498(x91531,x91532))),f327(f327(f297(x91532),f497(x91531,x91532)),f327(f327(f297(x91532),f498(x91531,x91532)),f176(f841(x91532,a831)))))) % 153.71/153.55 [9181]~P62(x91812)+E(x91811,f176(f841(x91812,a831)))+~P134(f327(f66(x91812),x91811))+P134(f327(f327(f329(x91812),f327(f68(x91812,f85(x91812)),x91811)),x91811))+~P134(f327(f327(f329(x91812),f327(f327(f85(x91812),f548(x91811,x91812)),f549(x91811,x91812))),f327(f327(f297(x91812),f548(x91811,x91812)),f327(f327(f297(x91812),f549(x91811,x91812)),f176(f841(x91812,a831)))))) % 153.71/153.55 [9186]~P97(x91862)+E(x91861,f176(f841(x91862,a831)))+~P134(f327(f66(x91862),x91861))+P134(f327(f327(f329(x91862),f13(x91862,f175(x91862),x91861)),x91861))+~P134(f327(f327(f329(x91862),f327(f327(f175(x91862),f438(x91861,x91862)),f443(x91861,x91862))),f327(f327(f297(x91862),f438(x91861,x91862)),f327(f327(f297(x91862),f443(x91861,x91862)),f176(f841(x91862,a831)))))) % 153.71/153.55 [9187]~P97(x91872)+E(x91871,f176(f841(x91872,a831)))+~P134(f327(f66(x91872),x91871))+P134(f327(f327(f329(x91872),f14(x91872,f231(x91872),x91871)),x91871))+~P134(f327(f327(f329(x91872),f327(f327(f231(x91872),f444(x91871,x91872)),f447(x91871,x91872))),f327(f327(f297(x91872),f444(x91871,x91872)),f327(f327(f297(x91872),f447(x91871,x91872)),f176(f841(x91872,a831)))))) % 153.71/153.55 [6392]~P78(x63922)+E(x63921,f2(x63922))+~E(f327(f327(f84(x63922),x63923),x63921),f2(x63922))+~P134(f327(f327(f227(x63922),f2(x63922)),x63923))+~P134(f327(f327(f227(x63922),f2(x63922)),x63921)) % 153.71/153.55 [6393]~P78(x63932)+E(x63931,f2(x63932))+~E(f327(f327(f84(x63932),x63931),x63933),f2(x63932))+~P134(f327(f327(f227(x63932),f2(x63932)),x63933))+~P134(f327(f327(f227(x63932),f2(x63932)),x63931)) % 153.71/153.55 [7112]~P97(x71121)+E(f17(x71121,x71122),x71123)+~P134(f327(f66(x71121),x71122))+~P134(f327(f327(f227(x71121),x71123),f608(x71123,x71122,x71121)))+~P134(f327(f327(f329(x71121),x71123),x71122)) % 153.71/153.55 [7147]~P97(x71471)+~P18(x71471,x71472)+~P18(x71471,x71473)+P18(x71471,f327(f327(f122(x71471),x71472),x71473))+P134(f327(f327(f329(x71471),f745(x71473,x71472,x71471)),f327(f154(x71471),x71472))) % 153.71/153.55 [7148]~P97(x71481)+~P18(x71481,x71482)+~P18(x71481,x71483)+P18(x71481,f327(f327(f122(x71481),x71482),x71483))+P134(f327(f327(f329(x71481),f746(x71483,x71482,x71481)),f327(f154(x71481),x71483))) % 153.71/153.55 [7215]~P97(x72151)+E(f16(x72151,x72152),x72153)+~P134(f327(f66(x72151),x72152))+P134(f327(f327(f329(x72151),f609(x72153,x72152,x72151)),x72152))+~P134(f327(f327(f329(x72151),x72153),x72152)) % 153.71/153.55 [7216]~P97(x72161)+E(f17(x72161,x72162),x72163)+~P134(f327(f66(x72161),x72162))+P134(f327(f327(f329(x72161),f608(x72163,x72162,x72161)),x72162))+~P134(f327(f327(f329(x72161),x72163),x72162)) % 153.71/153.55 [7808]~P97(x78081)+E(f16(x78081,x78082),x78083)+~P134(f327(f66(x78081),x78082))+~P134(f327(f327(f329(x78081),x78083),x78082))+~P134(f327(f327(f227(x78081),f609(x78083,x78082,x78081)),x78083)) % 153.71/153.55 [8114]~P97(x81141)+~P18(x81141,x81142)+~P18(x81141,x81143)+P18(x81141,f327(f327(f122(x81141),x81142),x81143))+~P134(f327(f327(f227(x81141),f745(x81143,x81142,x81141)),f746(x81143,x81142,x81141))) % 153.71/153.55 [8826]~P89(x88262)+E(x88261,f176(f841(x88262,a831)))+~E(f327(f327(f100(x88262),f327(x88263,f461(x88261,x88263,x88262))),f327(x88263,f464(x88261,x88263,x88262))),f327(x88263,f327(f327(f100(x88262),f461(x88261,x88263,x88262)),f464(x88261,x88263,x88262))))+E(f15(x88262,f327(f298(x88262,x88262,x88263),x88261)),f327(x88263,f15(x88262,x88261)))+~P134(f327(f66(x88262),x88261)) % 153.71/153.55 [8827]~P97(x88272)+E(x88271,f176(f841(x88272,a831)))+~E(f327(f327(f175(x88272),f327(x88273,f454(x88271,x88273,x88272))),f327(x88273,f460(x88271,x88273,x88272))),f327(x88273,f327(f327(f175(x88272),f454(x88271,x88273,x88272)),f460(x88271,x88273,x88272))))+E(f16(x88272,f327(f298(x88272,x88272,x88273),x88271)),f327(x88273,f16(x88272,x88271)))+~P134(f327(f66(x88272),x88271)) % 153.71/153.55 [8828]~P97(x88282)+E(x88281,f176(f841(x88282,a831)))+~E(f327(f327(f231(x88282),f327(x88283,f462(x88281,x88283,x88282))),f327(x88283,f463(x88281,x88283,x88282))),f327(x88283,f327(f327(f231(x88282),f462(x88281,x88283,x88282)),f463(x88281,x88283,x88282))))+E(f17(x88282,f327(f298(x88282,x88282,x88283),x88281)),f327(x88283,f17(x88282,x88281)))+~P134(f327(f66(x88282),x88281)) % 153.71/153.55 [8829]~P89(x88292)+E(x88291,f176(f841(x88292,a831)))+~E(f327(f327(f101(x88292),f327(x88293,f509(x88291,x88293,x88292))),f327(x88293,f512(x88291,x88293,x88292))),f327(x88293,f327(f327(f101(x88292),f509(x88291,x88293,x88292)),f512(x88291,x88293,x88292))))+E(f12(x88292,f327(f298(x88292,x88292,x88293),x88291)),f327(x88293,f12(x88292,x88291)))+~P134(f327(f66(x88292),x88291)) % 153.71/153.55 [8891]~P97(x88912)+E(x88911,f176(f841(x88912,a831)))+~E(f327(f327(f175(x88912),f327(x88913,f455(x88911,x88913,x88912))),f327(x88913,f456(x88911,x88913,x88912))),f327(x88913,f327(f327(f175(x88912),f455(x88911,x88913,x88912)),f456(x88911,x88913,x88912))))+E(f13(x88912,f175(x88912),f327(f298(x88912,x88912,x88913),x88911)),f327(x88913,f13(x88912,f175(x88912),x88911)))+~P134(f327(f66(x88912),x88911)) % 153.71/153.55 [8892]~P97(x88922)+E(x88921,f176(f841(x88922,a831)))+~E(f327(f327(f231(x88922),f327(x88923,f457(x88921,x88923,x88922))),f327(x88923,f458(x88921,x88923,x88922))),f327(x88923,f327(f327(f231(x88922),f457(x88921,x88923,x88922)),f458(x88921,x88923,x88922))))+E(f14(x88922,f231(x88922),f327(f298(x88922,x88922,x88923),x88921)),f327(x88923,f14(x88922,f231(x88922),x88921)))+~P134(f327(f66(x88922),x88921)) % 153.71/153.55 [6409]~P62(x64092)+E(x64091,f176(f841(x64092,a831)))+~P134(f327(f66(x64092),x64091))+E(f327(f68(x64092,f85(x64092)),f327(f327(f297(x64092),x64093),x64091)),f327(f327(f85(x64092),x64093),f327(f68(x64092,f85(x64092)),x64091)))+P134(f327(f327(f329(x64092),x64093),x64091)) % 153.71/153.55 [6945]~P97(x69452)+E(f327(f327(f231(x69452),f17(x69452,x69451)),f17(x69452,x69453)),f17(x69452,x69453))+E(x69451,f176(f841(x69452,a831)))+~P134(f327(f66(x69452),x69453))+~P134(f327(f327(f227(f841(x69452,a831)),x69451),x69453)) % 153.71/153.55 [6946]~P97(x69462)+E(f327(f327(f175(x69462),f16(x69462,x69461)),f16(x69462,x69463)),f16(x69462,x69463))+E(x69461,f176(f841(x69462,a831)))+~P134(f327(f66(x69462),x69463))+~P134(f327(f327(f227(f841(x69462,a831)),x69461),x69463)) % 153.71/153.55 [6947]~P89(x69472)+E(f327(f327(f100(x69472),f15(x69472,x69471)),f15(x69472,x69473)),f15(x69472,x69473))+E(x69471,f176(f841(x69472,a831)))+~P134(f327(f66(x69472),x69473))+~P134(f327(f327(f227(f841(x69472,a831)),x69471),x69473)) % 153.71/153.55 [6948]~P89(x69482)+E(f327(f327(f101(x69482),f12(x69482,x69481)),f12(x69482,x69483)),f12(x69482,x69483))+E(x69481,f176(f841(x69482,a831)))+~P134(f327(f66(x69482),x69483))+~P134(f327(f327(f227(f841(x69482,a831)),x69481),x69483)) % 153.71/153.55 [7269]~P97(x72692)+E(x72691,f176(f841(x72692,a831)))+~P134(f327(f66(x72692),x72693))+P134(f327(f327(f227(x72692),f16(x72692,x72691)),f16(x72692,x72693)))+~P134(f327(f327(f227(f841(x72692,a831)),x72691),x72693)) % 153.71/153.55 [7270]~P97(x72702)+E(x72701,f176(f841(x72702,a831)))+~P134(f327(f66(x72702),x72703))+P134(f327(f327(f227(x72702),f17(x72702,x72703)),f17(x72702,x72701)))+~P134(f327(f327(f227(f841(x72702,a831)),x72701),x72703)) % 153.71/153.55 [7331]~P89(x73311)+E(f15(x73311,x73312),x73313)+~P134(f327(f66(x73311),x73312))+~E(f327(f327(f3(f841(x73311,a831)),x73312),f327(f327(f297(x73311),x73313),f176(f841(x73311,a831)))),f176(f841(x73311,a831)))+~P134(f327(f327(f329(x73311),x73313),x73312)) % 153.71/153.55 [7332]~P97(x73321)+E(f16(x73321,x73322),x73323)+~P134(f327(f66(x73321),x73322))+~E(f327(f327(f3(f841(x73321,a831)),x73322),f327(f327(f297(x73321),x73323),f176(f841(x73321,a831)))),f176(f841(x73321,a831)))+~P134(f327(f327(f329(x73321),x73323),x73322)) % 153.71/153.55 [7333]~P97(x73331)+E(f17(x73331,x73332),x73333)+~P134(f327(f66(x73331),x73332))+~E(f327(f327(f3(f841(x73331,a831)),x73332),f327(f327(f297(x73331),x73333),f176(f841(x73331,a831)))),f176(f841(x73331,a831)))+~P134(f327(f327(f329(x73331),x73333),x73332)) % 153.71/153.55 [7334]~P89(x73341)+E(f12(x73341,x73342),x73343)+~P134(f327(f66(x73341),x73342))+~E(f327(f327(f3(f841(x73341,a831)),x73342),f327(f327(f297(x73341),x73343),f176(f841(x73341,a831)))),f176(f841(x73341,a831)))+~P134(f327(f327(f329(x73341),x73343),x73342)) % 153.71/153.55 [7431]~P97(x74311)+E(f13(x74311,f175(x74311),x74312),x74313)+~P134(f327(f66(x74311),x74312))+~E(f327(f327(f3(f841(x74311,a831)),x74312),f327(f327(f297(x74311),x74313),f176(f841(x74311,a831)))),f176(f841(x74311,a831)))+~P134(f327(f327(f329(x74311),x74313),x74312)) % 153.71/153.55 [7432]~P97(x74321)+E(f14(x74321,f231(x74321),x74322),x74323)+~P134(f327(f66(x74321),x74322))+~E(f327(f327(f3(f841(x74321,a831)),x74322),f327(f327(f297(x74321),x74323),f176(f841(x74321,a831)))),f176(f841(x74321,a831)))+~P134(f327(f327(f329(x74321),x74323),x74322)) % 153.71/153.55 [7470]~P97(x74702)+E(x74701,f176(f841(x74702,a831)))+~P134(f327(f66(x74702),x74701))+~P134(f327(f327(f228(x74702),x74703),f544(x74703,x74701,x74702)))+P134(f327(f327(f228(x74702),x74703),f327(f68(x74702,f231(x74702)),x74701))) % 153.71/153.55 [7471]~P97(x74712)+E(x74711,f176(f841(x74712,a831)))+~P134(f327(f66(x74712),x74711))+~P134(f327(f327(f227(x74712),x74713),f533(x74713,x74711,x74712)))+P134(f327(f327(f227(x74712),x74713),f327(f68(x74712,f231(x74712)),x74711))) % 153.71/153.55 [7472]~P95(x74722)+E(x74721,f176(f841(x74722,a831)))+~P134(f327(f66(x74722),x74721))+~P134(f327(f327(f227(x74722),x74723),f534(x74723,x74721,x74722)))+P134(f327(f327(f227(x74722),x74723),f327(f68(x74722,f101(x74722)),x74721))) % 153.71/153.55 [7559]~P95(x75592)+E(x75591,f176(f841(x75592,a831)))+~P134(f327(f66(x75592),x75591))+P134(f327(f327(f329(x75592),f534(x75593,x75591,x75592)),x75591))+P134(f327(f327(f227(x75592),x75593),f327(f68(x75592,f101(x75592)),x75591))) % 153.71/153.55 [7560]~P97(x75602)+E(x75601,f176(f841(x75602,a831)))+~P134(f327(f66(x75602),x75601))+P134(f327(f327(f329(x75602),f533(x75603,x75601,x75602)),x75601))+P134(f327(f327(f227(x75602),x75603),f327(f68(x75602,f231(x75602)),x75601))) % 153.71/153.55 [7561]~P97(x75612)+E(x75611,f176(f841(x75612,a831)))+~P134(f327(f66(x75612),x75611))+P134(f327(f327(f329(x75612),f544(x75613,x75611,x75612)),x75611))+P134(f327(f327(f228(x75612),x75613),f327(f68(x75612,f231(x75612)),x75611))) % 153.71/153.55 [7680]~P97(x76802)+E(x76801,f176(f841(x76802,a831)))+E(f327(f327(f231(x76802),f14(x76802,f231(x76802),x76801)),f14(x76802,f231(x76802),x76803)),f14(x76802,f231(x76802),x76803))+~P134(f327(f66(x76802),x76803))+~P134(f327(f327(f227(f841(x76802,a831)),x76801),x76803)) % 153.71/153.55 [7681]~P97(x76812)+E(x76811,f176(f841(x76812,a831)))+E(f327(f327(f175(x76812),f13(x76812,f175(x76812),x76811)),f13(x76812,f175(x76812),x76813)),f13(x76812,f175(x76812),x76813))+~P134(f327(f66(x76812),x76813))+~P134(f327(f327(f227(f841(x76812,a831)),x76811),x76813)) % 153.71/153.55 [7883]~E(f653(x78831,x78833,x78832),f654(x78831,x78833,x78832))+~E(f327(f43(x78832),f655(x78831,x78833,x78832)),x78831)+E(f327(f327(f85(a834),x78831),f327(f43(f841(x78832,a831)),x78833)),f327(f43(x78832),f45(f841(x78832,a831),x78833)))+~P134(f327(f66(x78832),f45(f841(x78832,a831),x78833)))+~P134(f327(f66(f841(x78832,a831)),x78833)) % 153.71/153.55 [8052]~P97(x80522)+E(x80521,f176(f841(x80522,a831)))+~P134(f327(f66(x80522),x80523))+P134(f327(f327(f227(x80522),f327(f68(x80522,f231(x80522)),x80523)),f327(f68(x80522,f231(x80522)),x80521)))+~P134(f327(f327(f227(f841(x80522,a831)),x80521),x80523)) % 153.71/153.55 [8346]~E(f653(x83461,x83463,x83462),f654(x83461,x83463,x83462))+E(f327(f327(f85(a834),x83461),f327(f43(f841(x83462,a831)),x83463)),f327(f43(x83462),f45(f841(x83462,a831),x83463)))+P134(f327(f327(f329(f841(x83462,a831)),f655(x83461,x83463,x83462)),x83463))+~P134(f327(f66(x83462),f45(f841(x83462,a831),x83463)))+~P134(f327(f66(f841(x83462,a831)),x83463)) % 153.71/153.55 [8367]~E(f327(f43(x83672),f655(x83671,x83673,x83672)),x83671)+E(f327(f327(f85(a834),x83671),f327(f43(f841(x83672,a831)),x83673)),f327(f43(x83672),f45(f841(x83672,a831),x83673)))+P134(f327(f327(f329(f841(x83672,a831)),f654(x83671,x83673,x83672)),x83673))+~P134(f327(f66(x83672),f45(f841(x83672,a831),x83673)))+~P134(f327(f66(f841(x83672,a831)),x83673)) % 153.71/153.55 [8368]~E(f327(f43(x83682),f655(x83681,x83683,x83682)),x83681)+E(f327(f327(f85(a834),x83681),f327(f43(f841(x83682,a831)),x83683)),f327(f43(x83682),f45(f841(x83682,a831),x83683)))+P134(f327(f327(f329(f841(x83682,a831)),f653(x83681,x83683,x83682)),x83683))+~P134(f327(f66(x83682),f45(f841(x83682,a831),x83683)))+~P134(f327(f66(f841(x83682,a831)),x83683)) % 153.71/153.55 [8395]~E(f327(f43(x83952),f655(x83951,x83953,x83952)),x83951)+~E(f327(f327(f101(f841(x83952,a831)),f654(x83951,x83953,x83952)),f653(x83951,x83953,x83952)),f176(f841(x83952,a831)))+E(f327(f327(f85(a834),x83951),f327(f43(f841(x83952,a831)),x83953)),f327(f43(x83952),f45(f841(x83952,a831),x83953)))+~P134(f327(f66(f841(x83952,a831)),x83953))+~P134(f327(f66(x83952),f45(f841(x83952,a831),x83953))) % 153.71/153.55 [8622]E(f327(f327(f85(a834),x86221),f327(f43(f841(x86222,a831)),x86223)),f327(f43(x86222),f45(f841(x86222,a831),x86223)))+P134(f327(f327(f329(f841(x86222,a831)),f655(x86221,x86223,x86222)),x86223))+P134(f327(f327(f329(f841(x86222,a831)),f654(x86221,x86223,x86222)),x86223))+~P134(f327(f66(f841(x86222,a831)),x86223))+~P134(f327(f66(x86222),f45(f841(x86222,a831),x86223))) % 153.71/153.55 [8623]E(f327(f327(f85(a834),x86231),f327(f43(f841(x86232,a831)),x86233)),f327(f43(x86232),f45(f841(x86232,a831),x86233)))+P134(f327(f327(f329(f841(x86232,a831)),f655(x86231,x86233,x86232)),x86233))+P134(f327(f327(f329(f841(x86232,a831)),f653(x86231,x86233,x86232)),x86233))+~P134(f327(f66(f841(x86232,a831)),x86233))+~P134(f327(f66(x86232),f45(f841(x86232,a831),x86233))) % 153.71/153.55 [8648]~E(f327(f327(f101(f841(x86482,a831)),f654(x86481,x86483,x86482)),f653(x86481,x86483,x86482)),f176(f841(x86482,a831)))+E(f327(f327(f85(a834),x86481),f327(f43(f841(x86482,a831)),x86483)),f327(f43(x86482),f45(f841(x86482,a831),x86483)))+~P134(f327(f66(f841(x86482,a831)),x86483))+P134(f327(f327(f329(f841(x86482,a831)),f655(x86481,x86483,x86482)),x86483))+~P134(f327(f66(x86482),f45(f841(x86482,a831),x86483))) % 153.71/153.55 [8870]~P88(x88702)+E(x88701,f176(f841(x88702,a831)))+~E(f327(f327(f85(x88702),f327(x88703,f546(x88701,x88703,x88702))),f327(x88703,f550(x88701,x88703,x88702))),f327(x88703,f327(f327(f85(x88702),f546(x88701,x88703,x88702)),f550(x88701,x88703,x88702))))+~P134(f327(f66(x88702),x88701))+E(f327(f68(x88702,f85(x88702)),f327(f298(x88702,x88702,x88703),x88701)),f327(x88703,f327(f68(x88702,f85(x88702)),x88701))) % 153.71/153.55 [9737]P134(f327(f327(x97371,x97372),x97373))+P134(f327(f327(f228(a1),f807(x97371,x97373,x97372)),f808(x97371,x97373,x97372)))+P134(f327(f327(f227(a1),f808(x97371,x97373,x97372)),f2(a1)))+P134(f327(f327(x97371,f807(x97371,x97373,x97372)),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f808(x97371,x97373,x97372))))+~P134(f327(f316(f840(a1,a1),a65),f327(f327(f236(a1,a1),x97372),x97373))) % 153.71/153.55 [9743]P134(f327(f327(x97431,x97432),x97433))+P134(f327(f327(f227(a1),f806(x97431,x97433,x97432)),f2(a1)))+P134(f327(f327(x97431,f805(x97431,x97433,x97432)),f327(f327(f85(a1),f327(f103(a1),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f806(x97431,x97433,x97432))))+P134(f327(f327(f227(a1),f2(a1)),f327(f327(f84(a1),f805(x97431,x97433,x97432)),f806(x97431,x97433,x97432))))+~P134(f327(f316(f840(a1,a1),a60),f327(f327(f236(a1,a1),x97432),x97433))) % 153.71/153.55 [7853]~P107(x78531)+~P134(f327(f327(f227(x78531),x78532),f82(x78531)))+~P134(f327(f327(f227(x78531),f2(x78531)),x78532))+~P134(f327(f327(f227(x78531),f2(x78531)),x78533))+P134(f327(f327(f227(x78531),f327(f327(f85(x78531),x78532),x78533)),x78533)) % 153.71/153.55 [7854]~P107(x78541)+~P134(f327(f327(f227(x78541),x78543),f82(x78541)))+~P134(f327(f327(f227(x78541),f2(x78541)),x78543))+~P134(f327(f327(f227(x78541),f2(x78541)),x78542))+P134(f327(f327(f227(x78541),f327(f327(f85(x78541),x78542),x78543)),x78542)) % 153.71/153.55 [8195]~P97(x81952)+E(x81951,f176(f841(x81952,a831)))+~P134(f327(f66(x81952),x81951))+P134(f327(f327(f228(x81952),f541(x81953,x81951,x81952)),x81953))+~P134(f327(f327(f228(x81952),f327(f68(x81952,f231(x81952)),x81951)),x81953)) % 153.71/153.55 [8196]~P97(x81962)+E(x81961,f176(f841(x81962,a831)))+~P134(f327(f66(x81962),x81961))+P134(f327(f327(f227(x81962),f542(x81963,x81961,x81962)),x81963))+~P134(f327(f327(f227(x81962),f327(f68(x81962,f231(x81962)),x81961)),x81963)) % 153.71/153.55 [8197]~P97(x81972)+E(x81971,f176(f841(x81972,a831)))+~P134(f327(f66(x81972),x81971))+P134(f327(f327(f329(x81972),f542(x81973,x81971,x81972)),x81971))+~P134(f327(f327(f227(x81972),f327(f68(x81972,f231(x81972)),x81971)),x81973)) % 153.71/153.55 [8198]~P97(x81982)+E(x81981,f176(f841(x81982,a831)))+~P134(f327(f66(x81982),x81981))+P134(f327(f327(f329(x81982),f541(x81983,x81981,x81982)),x81981))+~P134(f327(f327(f228(x81982),f327(f68(x81982,f231(x81982)),x81981)),x81983)) % 153.71/153.55 [8282]~P134(f327(x82821,x82823))+P134(f327(x82821,f347(x82821,x82822)))+P134(f327(x82821,f338(x82821,x82822)))+~P134(f327(f327(f228(a1),f2(a1)),x82822))+P134(f327(x82821,f327(f327(f3(a1),f338(x82821,x82822)),f327(f327(f85(a1),f344(x82821,x82822)),x82822)))) % 153.71/153.55 [8487]~P134(f327(x84871,x84873))+P134(f327(x84871,f338(x84871,x84872)))+~P134(f327(f327(f228(a1),f2(a1)),x84872))+P134(f327(f327(f329(a1),f347(x84871,x84872)),f290(a1,f82(a1),x84872)))+P134(f327(x84871,f327(f327(f3(a1),f338(x84871,x84872)),f327(f327(f85(a1),f344(x84871,x84872)),x84872)))) % 153.71/153.55 [8666]~P134(f327(x86661,x86663))+~P134(f327(x86661,f338(x86661,x86662)))+P134(f327(x86661,f347(x86661,x86662)))+~P134(f327(f327(f228(a1),f2(a1)),x86662))+~P134(f327(x86661,f327(f327(f3(a1),f338(x86661,x86662)),f327(f327(f85(a1),f344(x86661,x86662)),x86662)))) % 153.71/153.55 [8767]~P134(f327(x87671,x87673))+~P134(f327(x87671,f338(x87671,x87672)))+~P134(f327(f327(f228(a1),f2(a1)),x87672))+P134(f327(f327(f329(a1),f347(x87671,x87672)),f290(a1,f82(a1),x87672)))+~P134(f327(x87671,f327(f327(f3(a1),f338(x87671,x87672)),f327(f327(f85(a1),f344(x87671,x87672)),x87672)))) % 153.71/153.55 [8584]~P89(x85841)+~P134(f327(f66(x85841),x85842))+E(f327(f327(f3(f841(x85841,a831)),x85842),f327(f327(f297(x85841),x85843),f176(f841(x85841,a831)))),f176(f841(x85841,a831)))+~P134(f327(f327(f329(x85841),x85843),x85842))+E(f327(f327(f100(x85841),x85843),f15(x85841,f327(f327(f3(f841(x85841,a831)),x85842),f327(f327(f297(x85841),x85843),f176(f841(x85841,a831)))))),f15(x85841,x85842)) % 153.71/153.55 [8585]~P97(x85851)+~P134(f327(f66(x85851),x85852))+E(f327(f327(f3(f841(x85851,a831)),x85852),f327(f327(f297(x85851),x85853),f176(f841(x85851,a831)))),f176(f841(x85851,a831)))+~P134(f327(f327(f329(x85851),x85853),x85852))+E(f327(f327(f175(x85851),x85853),f16(x85851,f327(f327(f3(f841(x85851,a831)),x85852),f327(f327(f297(x85851),x85853),f176(f841(x85851,a831)))))),f16(x85851,x85852)) % 153.71/153.55 [8586]~P97(x85861)+~P134(f327(f66(x85861),x85862))+E(f327(f327(f3(f841(x85861,a831)),x85862),f327(f327(f297(x85861),x85863),f176(f841(x85861,a831)))),f176(f841(x85861,a831)))+~P134(f327(f327(f329(x85861),x85863),x85862))+E(f327(f327(f231(x85861),x85863),f17(x85861,f327(f327(f3(f841(x85861,a831)),x85862),f327(f327(f297(x85861),x85863),f176(f841(x85861,a831)))))),f17(x85861,x85862)) % 153.71/153.55 [8587]~P89(x85871)+~P134(f327(f66(x85871),x85872))+E(f327(f327(f3(f841(x85871,a831)),x85872),f327(f327(f297(x85871),x85873),f176(f841(x85871,a831)))),f176(f841(x85871,a831)))+~P134(f327(f327(f329(x85871),x85873),x85872))+E(f327(f327(f101(x85871),x85873),f12(x85871,f327(f327(f3(f841(x85871,a831)),x85872),f327(f327(f297(x85871),x85873),f176(f841(x85871,a831)))))),f12(x85871,x85872)) % 153.71/153.55 [8643]~P97(x86431)+~P134(f327(f66(x86431),x86432))+E(f327(f327(f3(f841(x86431,a831)),x86432),f327(f327(f297(x86431),x86433),f176(f841(x86431,a831)))),f176(f841(x86431,a831)))+~P134(f327(f327(f329(x86431),x86433),x86432))+E(f327(f327(f175(x86431),x86433),f13(x86431,f175(x86431),f327(f327(f3(f841(x86431,a831)),x86432),f327(f327(f297(x86431),x86433),f176(f841(x86431,a831)))))),f13(x86431,f175(x86431),x86432)) % 153.71/153.55 [8644]~P97(x86441)+~P134(f327(f66(x86441),x86442))+E(f327(f327(f3(f841(x86441,a831)),x86442),f327(f327(f297(x86441),x86443),f176(f841(x86441,a831)))),f176(f841(x86441,a831)))+~P134(f327(f327(f329(x86441),x86443),x86442))+E(f327(f327(f231(x86441),x86443),f14(x86441,f231(x86441),f327(f327(f3(f841(x86441,a831)),x86442),f327(f327(f297(x86441),x86443),f176(f841(x86441,a831)))))),f14(x86441,f231(x86441),x86442)) % 153.71/153.55 [8654]~P97(x86541)+~P134(f327(f66(x86541),x86543))+~P134(f327(f66(x86541),x86542))+E(f327(f327(f101(f841(x86541,a831)),x86542),x86543),f176(f841(x86541,a831)))+E(f327(f327(f231(x86541),f17(x86541,f327(f327(f100(f841(x86541,a831)),x86542),x86543))),f17(x86541,f327(f327(f101(f841(x86541,a831)),x86542),x86543))),f327(f327(f231(x86541),f17(x86541,x86542)),f17(x86541,x86543))) % 153.71/153.55 [8655]~P97(x86551)+~P134(f327(f66(x86551),x86553))+~P134(f327(f66(x86551),x86552))+E(f327(f327(f101(f841(x86551,a831)),x86552),x86553),f176(f841(x86551,a831)))+E(f327(f327(f175(x86551),f16(x86551,f327(f327(f100(f841(x86551,a831)),x86552),x86553))),f16(x86551,f327(f327(f101(f841(x86551,a831)),x86552),x86553))),f327(f327(f175(x86551),f16(x86551,x86552)),f16(x86551,x86553))) % 153.71/153.55 [8656]~P89(x86561)+~P134(f327(f66(x86561),x86563))+~P134(f327(f66(x86561),x86562))+E(f327(f327(f101(f841(x86561,a831)),x86562),x86563),f176(f841(x86561,a831)))+E(f327(f327(f100(x86561),f15(x86561,f327(f327(f100(f841(x86561,a831)),x86562),x86563))),f15(x86561,f327(f327(f101(f841(x86561,a831)),x86562),x86563))),f327(f327(f100(x86561),f15(x86561,x86562)),f15(x86561,x86563))) % 153.71/153.55 [8657]~P89(x86571)+~P134(f327(f66(x86571),x86573))+~P134(f327(f66(x86571),x86572))+E(f327(f327(f101(f841(x86571,a831)),x86572),x86573),f176(f841(x86571,a831)))+E(f327(f327(f101(x86571),f12(x86571,f327(f327(f100(f841(x86571,a831)),x86572),x86573))),f12(x86571,f327(f327(f101(f841(x86571,a831)),x86572),x86573))),f327(f327(f101(x86571),f12(x86571,x86572)),f12(x86571,x86573))) % 153.71/153.55 [8844]~P97(x88441)+~P134(f327(f66(x88441),x88443))+~P134(f327(f66(x88441),x88442))+E(f327(f327(f101(f841(x88441,a831)),x88442),x88443),f176(f841(x88441,a831)))+E(f327(f327(f231(x88441),f14(x88441,f231(x88441),f327(f327(f100(f841(x88441,a831)),x88442),x88443))),f14(x88441,f231(x88441),f327(f327(f101(f841(x88441,a831)),x88442),x88443))),f327(f327(f231(x88441),f14(x88441,f231(x88441),x88442)),f14(x88441,f231(x88441),x88443))) % 153.71/153.55 [8845]~P97(x88451)+~P134(f327(f66(x88451),x88453))+~P134(f327(f66(x88451),x88452))+E(f327(f327(f101(f841(x88451,a831)),x88452),x88453),f176(f841(x88451,a831)))+E(f327(f327(f175(x88451),f13(x88451,f175(x88451),f327(f327(f100(f841(x88451,a831)),x88452),x88453))),f13(x88451,f175(x88451),f327(f327(f101(f841(x88451,a831)),x88452),x88453))),f327(f327(f175(x88451),f13(x88451,f175(x88451),x88452)),f13(x88451,f175(x88451),x88453))) % 153.71/153.55 [9579]~P114(x95793)+E(x95791,x95792)+~P134(f327(f327(f227(x95793),f2(x95793)),x95792))+~P134(f327(f327(f227(x95793),f2(x95793)),x95791))+~E(f327(f327(f237(x95793),x95791),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)))),f327(f327(f237(x95793),x95792),f327(f103(a834),f327(f327(f84(a1),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96)),f327(f327(f3(a1),f327(f327(f84(a1),a87),a87)),a96))))) % 153.71/153.55 [5722]~P7(x57222)+E(x57221,f2(x57222))+~E(f327(f327(f44(x57222),x57223),x57221),x57224)+E(x57223,f327(f327(f85(x57222),x57224),x57221))+~P134(f327(f327(f274(x57222),x57221),x57223)) % 153.71/153.55 [5723]~P7(x57232)+E(x57231,f2(x57232))+~E(x57233,f327(f327(f85(x57232),x57234),x57231))+E(f327(f327(f44(x57232),x57233),x57231),x57234)+~P134(f327(f327(f274(x57232),x57231),x57233)) % 153.71/153.55 [6201]E(f397(x62011,x62012,x62013),x62014)+E(f327(x62011,x62014),f2(a834))+~E(f327(f327(f8(x62013,a834),x62011),x62012),f82(a834))+~P134(f327(f66(x62013),x62012))+~P134(f327(f327(f329(x62013),x62014),x62012)) % 153.71/153.55 [6266]E(f399(x62661,x62662,x62663),x62664)+E(f327(x62661,x62664),f2(a834))+~E(f327(f327(f8(x62663,a834),x62661),x62662),f327(a111,f2(a834)))+~P134(f327(f66(x62663),x62662))+~P134(f327(f327(f329(x62663),x62664),x62662)) % 153.71/153.55 [6377]~P97(x63771)+~P9(x63771)+P134(f327(f327(f228(x63771),x63772),f45(x63771,x63773)))+~P134(f327(f327(f329(x63771),x63774),x63773))+~P134(f327(f327(f228(x63771),x63772),x63774)) % 153.71/153.55 [6552]~P97(x65521)+~P9(x65521)+~P134(f327(f327(f329(x65521),x65524),x65522))+P134(f327(f327(f228(x65521),f46(x65521,x65522)),x65523))+~P134(f327(f327(f228(x65521),x65524),x65523)) % 153.71/153.55 [6825]~P114(x68253)+E(x68251,x68252)+~E(f327(f327(f237(x68253),x68251),f327(a111,x68254)),f327(f327(f237(x68253),x68252),f327(a111,x68254)))+~P134(f327(f327(f227(x68253),f2(x68253)),x68252))+~P134(f327(f327(f227(x68253),f2(x68253)),x68251)) % 153.71/153.55 [7043]~E(f401(x70432,x70433,x70431,x70434),x70434)+~E(f327(x70432,x70434),f82(a834))+E(f327(f327(f8(x70431,a834),x70432),x70433),f82(a834))+~P134(f327(f66(x70431),x70433))+~P134(f327(f327(f329(x70431),x70434),x70433)) % 153.71/153.55 [7050]~P82(x70504)+~P118(x70504)+E(f327(x70501,f446(x70501,x70502,x70503,x70504)),f2(x70504))+~E(f327(f327(f11(x70503,x70504),x70501),x70502),f2(x70504))+~P134(f327(f66(x70503),x70502)) % 153.71/153.55 [7134]~E(f400(x71342,x71343,x71341,x71344),x71344)+~E(f327(x71342,x71344),f327(a111,f2(a834)))+E(f327(f327(f8(x71341,a834),x71342),x71343),f327(a111,f2(a834)))+~P134(f327(f66(x71341),x71343))+~P134(f327(f327(f329(x71341),x71344),x71343)) % 153.71/153.55 [7893]~E(f327(x78932,x78934),f82(a834))+~E(f327(x78932,f401(x78932,x78933,x78931,x78934)),f2(a834))+E(f327(f327(f8(x78931,a834),x78932),x78933),f82(a834))+~P134(f327(f66(x78931),x78933))+~P134(f327(f327(f329(x78931),x78934),x78933)) % 153.71/153.55 [7932]~E(f327(x79322,x79324),f327(a111,f2(a834)))+~E(f327(x79322,f400(x79322,x79323,x79321,x79324)),f2(a834))+E(f327(f327(f8(x79321,a834),x79322),x79323),f327(a111,f2(a834)))+~P134(f327(f66(x79321),x79323))+~P134(f327(f327(f329(x79321),x79324),x79323)) % 153.71/153.55 [8009]~P133(x80092)+~P109(x80092)+~P134(f327(x80091,x80094))+~P134(f327(f327(f274(x80092),x80093),f327(f327(f84(x80092),x80094),f2(x80092))))+P134(f327(x80091,f327(f327(f85(x80092),x80093),f817(x80093,x80091,x80092)))) % 153.71/153.55 [8490]E(x84901,x84902)+E(f327(f327(f84(a1),f417(x84903,x84902,x84904,x84901)),f418(x84903,x84902,x84904,x84901)),x84901)+~E(f327(f327(f3(a1),x84901),x84904),x84902)+~P134(f327(f327(f228(a1),f2(a1)),x84904))+~P134(f327(f327(f329(a1),x84902),x84903)) % 153.71/153.55 [8491]E(x84911,x84912)+E(f327(f327(f3(a1),f419(x84913,x84912,x84914,x84911)),f420(x84913,x84912,x84914,x84911)),x84911)+~E(f327(f327(f84(a1),x84911),x84914),x84912)+~P134(f327(f327(f228(a1),f2(a1)),x84914))+~P134(f327(f327(f329(a1),x84912),x84913)) % 153.71/153.55 [8653]E(f327(x86531,f797(x86532,x86531,x86533,x86534)),x86532)+P134(f327(f327(f227(a834),x86534),f798(x86532,x86531,x86533,x86534)))+~P134(f327(f327(f227(a1),x86532),f327(x86531,x86533)))+~P134(f327(f327(f228(a834),x86534),x86533))+~P134(f327(f327(f227(a1),f327(x86531,x86534)),x86532)) % 153.71/153.55 [8670]~P82(x86704)+~P118(x86704)+~E(f327(f327(f11(x86701,x86704),x86702),x86703),f2(x86704))+~P134(f327(f66(x86701),x86703))+P134(f327(f327(f329(x86701),f446(x86702,x86703,x86701,x86704)),x86703)) % 153.71/153.55 [8703]~E(f327(x87032,x87034),f82(a834))+E(f327(f327(f8(x87031,a834),x87032),x87033),f82(a834))+~P134(f327(f66(x87031),x87033))+~P134(f327(f327(f329(x87031),x87034),x87033))+P134(f327(f327(f329(x87031),f401(x87032,x87033,x87031,x87034)),x87033)) % 153.71/153.55 [8712]E(x87121,x87122)+~E(f327(f327(f84(a1),x87122),x87124),x87121)+~P134(f327(f327(f228(a1),f2(a1)),x87124))+~P134(f327(f327(f329(a1),x87121),x87123))+P134(f327(f327(f329(a1),f419(x87123,x87121,x87124,x87122)),x87123)) % 153.71/153.55 [8713]E(x87131,x87132)+~E(f327(f327(f3(a1),x87132),x87134),x87131)+~P134(f327(f327(f228(a1),f2(a1)),x87134))+~P134(f327(f327(f329(a1),x87131),x87133))+P134(f327(f327(f329(a1),f417(x87133,x87131,x87134,x87132)),x87133)) % 153.71/153.55 [8715]~E(f327(x87152,x87154),f327(a111,f2(a834)))+E(f327(f327(f8(x87151,a834),x87152),x87153),f327(a111,f2(a834)))+~P134(f327(f66(x87151),x87153))+~P134(f327(f327(f329(x87151),x87154),x87153))+P134(f327(f327(f329(x87151),f400(x87152,x87153,x87151,x87154)),x87153)) % 153.71/153.55 [8719]P55(x87192,x87193,x87194,x87191)+E(x87191,f176(f841(x87192,a831)))+~P134(f327(f66(x87192),x87194))+~P134(f327(f66(x87192),x87191))+P134(f327(f327(f329(x87192),f518(x87191,x87194,x87193,x87192)),x87194)) % 153.71/153.55 [8780]E(x87801,x87802)+~E(f327(f327(f84(a1),x87802),x87804),x87801)+~P134(f327(f327(f228(a1),f2(a1)),x87804))+~P134(f327(f327(f329(a1),x87801),x87803))+P134(f327(f327(f329(a1),f420(x87803,x87801,x87804,x87802)),f290(a1,f82(a1),x87804))) % 153.71/153.55 [8781]E(x87811,x87812)+~E(f327(f327(f3(a1),x87812),x87814),x87811)+~P134(f327(f327(f228(a1),f2(a1)),x87814))+~P134(f327(f327(f329(a1),x87811),x87813))+P134(f327(f327(f329(a1),f418(x87813,x87811,x87814,x87812)),f290(a1,f82(a1),x87814))) % 153.71/153.55 [8850]P134(f327(f327(f227(a834),x88501),f797(x88502,x88503,x88504,x88501)))+~P134(f327(f327(f227(a1),x88502),f327(x88503,x88504)))+P134(f327(f327(f227(a834),x88501),f798(x88502,x88503,x88504,x88501)))+~P134(f327(f327(f228(a834),x88501),x88504))+~P134(f327(f327(f227(a1),f327(x88503,x88501)),x88502)) % 153.71/153.55 [8957]E(f327(x89571,f797(x89572,x89571,x89573,x89574)),x89572)+~P134(f327(f327(f227(a1),x89572),f327(x89571,x89573)))+P134(f327(f327(f228(a834),f798(x89572,x89571,x89573,x89574)),x89573))+~P134(f327(f327(f228(a834),x89574),x89573))+~P134(f327(f327(f227(a1),f327(x89571,x89574)),x89572)) % 153.71/153.55 [9061]~P134(f327(f327(f274(a834),x90614),x90611))+~P134(f327(f327(f274(a834),x90614),x90613))+~P134(f327(f327(f274(a834),x90612),x90611))+P134(f327(f327(f274(a834),x90611),x90612))+P134(f327(f327(f228(f841(a834,a831)),f277(a834,f274(a834),x90613,x90612)),f277(a834,f274(a834),x90614,x90611))) % 153.71/153.55 [9062]~P134(f327(f327(f274(a834),x90622),x90621))+~P134(f327(f327(f274(a834),x90623),x90624))+~P134(f327(f327(f274(a834),x90622),x90624))+P134(f327(f327(f274(a834),x90621),x90622))+P134(f327(f327(f228(f841(a834,a831)),f277(a834,f274(a834),x90621,x90623)),f277(a834,f274(a834),x90622,x90624))) % 153.71/153.55 [9073]~P134(f327(f327(f227(a1),x90732),f327(x90733,x90734)))+P134(f327(f327(f227(a834),x90731),f798(x90732,x90733,x90734,x90731)))+P134(f327(f327(f227(a834),f797(x90732,x90733,x90734,x90731)),x90734))+~P134(f327(f327(f228(a834),x90731),x90734))+~P134(f327(f327(f227(a1),f327(x90733,x90731)),x90732)) % 153.71/153.55 [9074]~P134(f327(f327(f227(a1),x90742),f327(x90743,x90744)))+P134(f327(f327(f227(a834),x90741),f797(x90742,x90743,x90744,x90741)))+P134(f327(f327(f228(a834),f798(x90742,x90743,x90744,x90741)),x90744))+~P134(f327(f327(f228(a834),x90741),x90744))+~P134(f327(f327(f227(a1),f327(x90743,x90741)),x90742)) % 153.71/153.55 [9163]~P134(f327(f327(f227(a1),x91631),f327(x91632,x91633)))+P134(f327(f327(f227(a834),f797(x91631,x91632,x91633,x91634)),x91633))+~P134(f327(f327(f228(a834),x91634),x91633))+~P134(f327(f327(f227(a1),f327(x91632,x91634)),x91631))+P134(f327(f327(f228(a834),f798(x91631,x91632,x91633,x91634)),x91633)) % 153.71/153.55 [9246]E(x92461,f176(f841(x92462,a831)))+~P134(f327(f66(x92462),x92464))+~P134(f327(f66(x92462),x92461))+P134(f327(f327(f329(f840(f841(x92462,a831),f841(x92462,a831))),f327(f327(f236(f841(x92462,a831),f841(x92462,a831)),x92464),x92461)),f320(x92462,x92463)))+P134(f327(f327(f329(x92462),f520(x92463,x92461,x92464,x92462)),x92464)) % 153.71/153.55 [9247]E(x92471,f176(f841(x92472,a831)))+~P134(f327(f66(x92472),x92474))+~P134(f327(f66(x92472),x92471))+P134(f327(f327(f329(f840(f841(x92472,a831),f841(x92472,a831))),f327(f327(f236(f841(x92472,a831),f841(x92472,a831)),x92474),x92471)),f320(x92472,x92473)))+P134(f327(f327(f329(x92472),f610(x92473,x92471,x92474,x92472)),x92474)) % 153.71/153.55 [9886]E(f327(x98861,f797(x98862,x98861,x98863,x98864)),x98862)+~P134(f327(f327(f227(a1),x98862),f327(x98861,x98863)))+~P134(f327(f327(f227(a1),f327(f79(a1),f327(f327(f3(a1),f327(x98861,f327(f327(f84(a834),f798(x98862,x98861,x98863,x98864)),f82(a834)))),f327(x98861,f798(x98862,x98861,x98863,x98864))))),f82(a1)))+~P134(f327(f327(f228(a834),x98864),x98863))+~P134(f327(f327(f227(a1),f327(x98861,x98864)),x98862)) % 153.71/153.55 [9887]~P134(f327(f327(f227(a1),x98872),f327(x98873,x98874)))+P134(f327(f327(f227(a834),x98871),f797(x98872,x98873,x98874,x98871)))+~P134(f327(f327(f227(a1),f327(f79(a1),f327(f327(f3(a1),f327(x98873,f327(f327(f84(a834),f798(x98872,x98873,x98874,x98871)),f82(a834)))),f327(x98873,f798(x98872,x98873,x98874,x98871))))),f82(a1)))+~P134(f327(f327(f228(a834),x98871),x98874))+~P134(f327(f327(f227(a1),f327(x98873,x98871)),x98872)) % 153.71/153.55 [9888]~P134(f327(f327(f227(a1),x98881),f327(x98882,x98883)))+~P134(f327(f327(f227(a1),f327(f79(a1),f327(f327(f3(a1),f327(x98882,f327(f327(f84(a834),f798(x98881,x98882,x98883,x98884)),f82(a834)))),f327(x98882,f798(x98881,x98882,x98883,x98884))))),f82(a1)))+~P134(f327(f327(f228(a834),x98884),x98883))+~P134(f327(f327(f227(a1),f327(x98882,x98884)),x98881))+P134(f327(f327(f227(a834),f797(x98881,x98882,x98883,x98884)),x98883)) % 153.71/153.55 [7101]~P60(x71011)+P134(f327(f327(f228(x71011),x71012),f2(x71011)))+~P134(f327(f327(f228(x71011),x71013),f2(x71011)))+P134(f327(f327(f228(x71011),f2(x71011)),x71012))+P134(f327(f327(f228(x71011),x71013),f327(f327(f278(x71011),x71014),x71012))) % 153.71/153.55 [7102]~P60(x71021)+P134(f327(f327(f228(x71021),x71022),f2(x71021)))+~P134(f327(f327(f227(x71021),x71023),f2(x71021)))+P134(f327(f327(f228(x71021),f2(x71021)),x71022))+P134(f327(f327(f227(x71021),x71023),f327(f327(f278(x71021),x71024),x71022))) % 153.71/153.55 [7370]~P60(x73701)+P134(f327(f327(f228(x73701),x73702),f2(x73701)))+P134(f327(f327(f228(x73701),x73703),f2(x73701)))+P134(f327(f327(f228(x73701),f2(x73701)),x73703))+~P134(f327(f327(f228(x73701),x73702),f327(f327(f278(x73701),x73704),x73703))) % 153.71/153.55 [7371]~P60(x73711)+P134(f327(f327(f228(x73711),x73712),f2(x73711)))+P134(f327(f327(f227(x73711),x73713),f2(x73711)))+P134(f327(f327(f228(x73711),f2(x73711)),x73712))+~P134(f327(f327(f227(x73711),x73713),f327(f327(f278(x73711),x73714),x73712))) % 153.71/153.55 [7490]E(x74901,x74902)+~E(f327(f327(f146(x74903),x74904),x74901),f327(f327(f146(x74903),x74904),x74902))+~P134(f327(f124(x74903),x74904))+~P134(f327(f327(f228(a834),x74902),f327(f177(f835(x74903)),x74904)))+~P134(f327(f327(f228(a834),x74901),f327(f177(f835(x74903)),x74904))) % 153.71/153.55 [7855]~P60(x78551)+~P134(f327(f327(f228(x78551),x78553),f2(x78551)))+P134(f327(f327(f228(x78551),f2(x78551)),x78552))+~P134(f327(f327(f228(x78551),x78554),f327(f327(f85(x78551),x78553),x78552)))+P134(f327(f327(f228(x78551),x78553),f327(f327(f278(x78551),x78554),x78552))) % 153.71/153.55 [7856]~P60(x78561)+~P134(f327(f327(f227(x78561),x78563),f2(x78561)))+P134(f327(f327(f228(x78561),f2(x78561)),x78562))+~P134(f327(f327(f227(x78561),x78564),f327(f327(f85(x78561),x78563),x78562)))+P134(f327(f327(f227(x78561),x78563),f327(f327(f278(x78561),x78564),x78562))) % 153.71/153.55 [7857]~P60(x78571)+~P134(f327(f327(f228(x78571),x78572),f2(x78571)))+P134(f327(f327(f228(x78571),f2(x78571)),x78572))+~P134(f327(f327(f228(x78571),x78574),f327(f327(f85(x78571),x78573),x78572)))+P134(f327(f327(f228(x78571),x78573),f327(f327(f278(x78571),x78574),x78572))) % 153.71/153.55 [7858]~P60(x78581)+~P134(f327(f327(f228(x78581),x78582),f2(x78581)))+P134(f327(f327(f228(x78581),f2(x78581)),x78582))+~P134(f327(f327(f228(x78581),x78584),f327(f327(f278(x78581),x78583),x78582)))+P134(f327(f327(f228(x78581),x78583),f327(f327(f85(x78581),x78584),x78582))) % 153.71/153.55 [7859]~P60(x78591)+~P134(f327(f327(f228(x78591),x78592),f2(x78591)))+P134(f327(f327(f228(x78591),f2(x78591)),x78592))+~P134(f327(f327(f227(x78591),x78594),f327(f327(f85(x78591),x78593),x78592)))+P134(f327(f327(f227(x78591),x78593),f327(f327(f278(x78591),x78594),x78592))) % 153.71/153.55 [7860]~P60(x78601)+~P134(f327(f327(f228(x78601),x78602),f2(x78601)))+P134(f327(f327(f228(x78601),f2(x78601)),x78602))+~P134(f327(f327(f227(x78601),x78604),f327(f327(f278(x78601),x78603),x78602)))+P134(f327(f327(f227(x78601),x78603),f327(f327(f85(x78601),x78604),x78602))) % 153.71/153.55 [7978]~P7(x79781)+~P134(f327(f327(f274(x79781),x79783),x79784))+~P134(f327(f327(f274(x79781),x79783),x79782))+~P134(f327(f327(f274(x79781),x79782),x79784))+P134(f327(f327(f274(x79781),f327(f327(f44(x79781),x79782),x79783)),f327(f327(f44(x79781),x79784),x79783))) % 153.71/153.55 [7993]~P97(x79931)+~P18(x79931,x79932)+~P134(f327(f327(f227(a834),x79933),x79934))+P134(f327(f327(f227(x79931),f327(f327(f146(x79931),x79932),x79933)),f327(f327(f146(x79931),x79932),x79934)))+~P134(f327(f327(f228(a834),x79934),f327(f177(f835(x79931)),x79932))) % 153.71/153.55 [8043]~P114(x80431)+~P134(f327(f327(f228(x80431),x80432),f82(x80431)))+~P134(f327(f327(f228(x80431),f2(x80431)),x80432))+~P134(f327(f327(f228(a834),x80434),x80433))+P134(f327(f327(f228(x80431),f327(f327(f237(x80431),x80432),x80433)),f327(f327(f237(x80431),x80432),x80434))) % 153.71/153.55 [8044]~P114(x80441)+~P134(f327(f327(f227(x80441),x80442),f82(x80441)))+~P134(f327(f327(f227(x80441),f2(x80441)),x80442))+~P134(f327(f327(f227(a834),x80444),x80443))+P134(f327(f327(f227(x80441),f327(f327(f237(x80441),x80442),x80443)),f327(f327(f237(x80441),x80442),x80444))) % 153.71/153.55 [8045]~P114(x80451)+~P134(f327(f327(f227(x80451),f2(x80451)),x80452))+~P134(f327(f327(f228(a834),f2(a834)),x80453))+~P134(f327(f327(f228(x80451),x80452),x80454))+P134(f327(f327(f228(x80451),f327(f327(f237(x80451),x80452),x80453)),f327(f327(f237(x80451),x80454),x80453))) % 153.71/153.55 [8063]~P97(x80631)+~P18(x80631,f327(f151(x80631),x80632))+~P134(f327(f327(f227(a834),x80634),x80633))+P134(f327(f327(f227(x80631),f327(f327(f146(x80631),x80632),x80633)),f327(f327(f146(x80631),x80632),x80634)))+~P134(f327(f327(f228(a834),x80633),f327(f177(f835(x80631)),x80632))) % 153.71/153.55 [8289]~P7(x82891)+P134(f327(f327(f274(x82891),x82892),x82893))+~P134(f327(f327(f274(x82891),x82894),x82893))+~P134(f327(f327(f274(x82891),x82894),x82892))+~P134(f327(f327(f274(x82891),f327(f327(f44(x82891),x82892),x82894)),f327(f327(f44(x82891),x82893),x82894))) % 153.71/153.55 [8303]~P61(x83031)+~P134(f327(f327(f228(x83031),x83032),f2(x83031)))+~P134(f327(f327(f228(x83031),x83033),x83034))+~P134(f327(f327(f228(x83031),f2(x83031)),f327(f327(f85(x83031),x83033),x83034)))+P134(f327(f327(f228(x83031),f327(f327(f278(x83031),x83032),x83033)),f327(f327(f278(x83031),x83032),x83034))) % 153.71/153.55 [8304]~P60(x83041)+~P134(f327(f327(f227(x83041),x83042),f2(x83041)))+~P134(f327(f327(f227(x83041),x83043),x83044))+~P134(f327(f327(f228(x83041),f2(x83041)),f327(f327(f85(x83041),x83043),x83044)))+P134(f327(f327(f227(x83041),f327(f327(f278(x83041),x83042),x83043)),f327(f327(f278(x83041),x83042),x83044))) % 153.71/153.55 [8314]~P61(x83141)+~P134(f327(f327(f228(x83141),x83144),x83143))+~P134(f327(f327(f228(x83141),f2(x83141)),x83142))+~P134(f327(f327(f228(x83141),f2(x83141)),f327(f327(f85(x83141),x83143),x83144)))+P134(f327(f327(f228(x83141),f327(f327(f278(x83141),x83142),x83143)),f327(f327(f278(x83141),x83142),x83144))) % 153.71/153.55 [8315]~P61(x83151)+~P134(f327(f327(f227(x83151),x83154),x83153))+~P134(f327(f327(f227(x83151),f2(x83151)),x83152))+~P134(f327(f327(f228(x83151),f2(x83151)),f327(f327(f85(x83151),x83153),x83154)))+P134(f327(f327(f227(x83151),f327(f327(f278(x83151),x83152),x83153)),f327(f327(f278(x83151),x83152),x83154))) % 153.71/153.55 [8413]P134(f327(x84131,x84132))+~P134(f327(f66(x84134),x84132))+P134(f327(x84131,f471(x84131,x84133,x84132,x84134)))+~P134(f327(x84131,f176(f841(x84134,a831))))+~P134(f327(f327(f227(f841(x84134,a831)),x84132),x84133)) % 153.71/153.55 [8421]P134(f327(x84211,x84212))+P134(f327(f66(x84213),f471(x84211,x84214,x84212,x84213)))+~P134(f327(f66(x84213),x84212))+~P134(f327(x84211,f176(f841(x84213,a831))))+~P134(f327(f327(f227(f841(x84213,a831)),x84212),x84214)) % 153.71/153.55 [8650]E(f327(f327(f84(a1),f422(x86501,x86502,x86503,x86504)),f423(x86501,x86502,x86503,x86504)),x86504)+~P134(f327(f327(f228(a1),f2(a1)),x86503))+~P134(f327(f327(f228(a1),x86502),x86504))+~P134(f327(f327(f329(a1),x86502),x86501))+P134(f327(f327(f228(a1),x86502),f327(f327(f3(a1),x86504),x86503))) % 153.71/153.55 [8832]~P134(f327(f327(f228(a1),f2(a1)),x88323))+~P134(f327(f327(f228(a1),x88322),x88324))+~P134(f327(f327(f329(a1),x88322),x88321))+P134(f327(f327(f329(a1),f422(x88321,x88322,x88323,x88324)),x88321))+P134(f327(f327(f228(a1),x88322),f327(f327(f3(a1),x88324),x88323))) % 153.71/153.55 [8843]P134(f327(x88431,x88432))+~P134(f327(f66(x88433),x88432))+P134(f327(f327(f329(x88433),f472(x88431,x88434,x88432,x88433)),x88434))+~P134(f327(x88431,f176(f841(x88433,a831))))+~P134(f327(f327(f227(f841(x88433,a831)),x88432),x88434)) % 153.71/153.55 [8860]E(f327(f327(f84(a1),f409(x88601,x88602,x88603,x88604)),f410(x88601,x88602,x88603,x88604)),x88604)+~P134(f327(f327(f228(a1),f2(a1)),x88603))+~P134(f327(f327(f227(a1),x88602),x88604))+P134(f327(f327(f227(a1),x88602),f327(f327(f3(a1),x88604),x88603)))+~P134(f327(f327(f329(a1),f327(f327(f3(a1),x88602),f82(a1))),x88601)) % 153.71/153.55 [8907]~P134(f327(f327(f228(a1),f2(a1)),x89073))+~P134(f327(f327(f228(a1),x89071),x89072))+~P134(f327(f327(f329(a1),x89071),x89074))+P134(f327(f327(f329(a1),f423(x89074,x89071,x89073,x89072)),f290(a1,f82(a1),x89073)))+P134(f327(f327(f228(a1),x89071),f327(f327(f3(a1),x89072),x89073))) % 153.71/153.55 [8999]~P134(f327(f327(f228(a1),f2(a1)),x89993))+~P134(f327(f327(f227(a1),x89992),x89994))+P134(f327(f327(f329(a1),f409(x89991,x89992,x89993,x89994)),x89991))+P134(f327(f327(f227(a1),x89992),f327(f327(f3(a1),x89994),x89993)))+~P134(f327(f327(f329(a1),f327(f327(f3(a1),x89992),f82(a1))),x89991)) % 153.71/153.55 [9037]~P134(f327(f327(f228(a1),f2(a1)),x90373))+~P134(f327(f327(f227(a1),x90371),x90372))+P134(f327(f327(f329(a1),f410(x90374,x90371,x90373,x90372)),f290(a1,f82(a1),x90373)))+P134(f327(f327(f227(a1),x90371),f327(f327(f3(a1),x90372),x90373)))+~P134(f327(f327(f329(a1),f327(f327(f3(a1),x90371),f82(a1))),x90374)) % 153.71/153.55 [9249]P134(f327(x92491,x92492))+~P134(f327(f327(f329(x92493),f472(x92491,x92494,x92492,x92493)),f471(x92491,x92494,x92492,x92493)))+~P134(f327(f66(x92493),x92492))+~P134(f327(x92491,f176(f841(x92493,a831))))+~P134(f327(f327(f227(f841(x92493,a831)),x92492),x92494)) % 153.71/153.55 [9453]P134(f327(x94531,x94532))+~P134(f327(f66(x94533),x94532))+~P134(f327(x94531,f327(f327(f297(x94533),f472(x94531,x94534,x94532,x94533)),f471(x94531,x94534,x94532,x94533))))+~P134(f327(x94531,f176(f841(x94533,a831))))+~P134(f327(f327(f227(f841(x94533,a831)),x94532),x94534)) % 153.71/153.55 [9773]~P96(x97733)+~P50(a834,x97733,f327(f327(f20(a834,f841(a834,a831),f841(a834,a831)),f327(f327(f10(f841(a834,f841(a831,a831)),f841(f841(a834,a831),f841(a834,a831)),a834),f20(a834,a831,a831)),f327(f327(f10(f841(a834,a831),f841(a834,f841(a831,a831)),a834),f327(f10(a831,f841(a831,a831),a834),a325)),f274(a834)))),f327(f327(f10(f841(a834,a831),f841(a834,a831),a834),f327(f10(a831,a831,a834),a323)),f327(f9(a834,a834,a831),f274(a834)))),x97734)+P134(f327(f327(f228(x97733),f327(x97734,x97732)),f327(x97734,x97731)))+~P134(f327(f327(f274(a834),x97732),x97731))+P134(f327(f327(f274(a834),x97731),x97732)) % 153.71/153.55 [7627]~P60(x76271)+P134(f327(f327(f228(x76271),x76272),f2(x76271)))+P134(f327(f327(f228(x76271),f2(x76271)),x76272))+~P134(f327(f327(f228(x76271),f2(x76271)),x76274))+P134(f327(f327(f228(x76271),f327(f327(f278(x76271),x76273),x76272)),x76274)) % 153.71/153.55 [7628]~P60(x76281)+P134(f327(f327(f228(x76281),x76282),f2(x76281)))+~P134(f327(f327(f227(x76281),f2(x76281)),x76284))+P134(f327(f327(f228(x76281),f2(x76281)),x76282))+P134(f327(f327(f227(x76281),f327(f327(f278(x76281),x76283),x76282)),x76284)) % 153.71/153.55 [7908]~P134(f327(f327(f227(a1),x79084),f2(a1)))+~E(x79082,f327(f327(f84(a1),f327(f327(f85(a1),x79081),x79083)),x79084))+P134(f327(f327(f228(a1),f2(a1)),x79081))+~P134(f327(f327(f228(a1),x79081),x79084))+P134(f327(f57(x79082,x79081),f327(f327(f236(a1,a1),x79083),x79084))) % 153.71/153.55 [7940]~P134(f327(x79401,x79404))+P134(f327(x79401,f785(x79402,x79401,x79403)))+~P134(f327(f327(f228(a1),f2(a1)),x79403))+~P134(f327(f327(f227(a1),f2(a1)),x79402))+P134(f327(x79401,f327(f327(f84(a1),x79404),f327(f327(f85(a1),x79402),x79403)))) % 153.71/153.55 [7941]~P134(f327(x79411,x79414))+P134(f327(x79411,f791(x79412,x79411,x79413)))+~P134(f327(f327(f228(a1),f2(a1)),x79413))+~P134(f327(f327(f227(a1),f2(a1)),x79412))+P134(f327(x79411,f327(f327(f3(a1),x79414),f327(f327(f85(a1),x79412),x79413)))) % 153.71/153.55 [7942]~P60(x79421)+P134(f327(f327(f228(x79421),x79422),f2(x79421)))+P134(f327(f327(f228(x79421),f2(x79421)),x79422))+P134(f327(f327(f228(x79421),f2(x79421)),x79423))+~P134(f327(f327(f228(x79421),f327(f327(f278(x79421),x79424),x79422)),x79423)) % 153.71/153.55 [7943]~P60(x79431)+P134(f327(f327(f228(x79431),x79432),f2(x79431)))+P134(f327(f327(f228(x79431),f2(x79431)),x79432))+P134(f327(f327(f227(x79431),f2(x79431)),x79433))+~P134(f327(f327(f227(x79431),f327(f327(f278(x79431),x79434),x79432)),x79433)) % 153.71/153.55 [7988]~E(x79881,f327(f327(f84(a1),f327(f327(f85(a1),x79882),x79883)),x79884))+~P134(f327(f327(f228(a1),f2(a1)),x79882))+~P134(f327(f327(f227(a1),f2(a1)),x79884))+~P134(f327(f327(f228(a1),x79884),x79882))+P134(f327(f57(x79881,x79882),f327(f327(f236(a1,a1),x79883),x79884))) % 153.71/153.55 [8104]~P60(x81041)+P134(f327(f327(f228(x81041),x81042),f2(x81041)))+~P134(f327(f327(f228(x81041),f2(x81041)),x81044))+~P134(f327(f327(f228(x81041),x81043),f327(f327(f85(x81041),x81044),x81042)))+P134(f327(f327(f228(x81041),f327(f327(f278(x81041),x81043),x81042)),x81044)) % 153.71/153.55 [8105]~P60(x81051)+P134(f327(f327(f228(x81051),x81052),f2(x81051)))+~P134(f327(f327(f227(x81051),f2(x81051)),x81054))+~P134(f327(f327(f227(x81051),x81053),f327(f327(f85(x81051),x81054),x81052)))+P134(f327(f327(f227(x81051),f327(f327(f278(x81051),x81053),x81052)),x81054)) % 153.71/153.55 [8185]~P60(x81851)+P134(f327(f327(f228(x81851),x81852),f2(x81851)))+~P134(f327(f327(f228(x81851),x81853),f2(x81851)))+P134(f327(f327(f228(x81851),x81853),f327(f327(f278(x81851),x81854),x81852)))+~P134(f327(f327(f228(x81851),f327(f327(f85(x81851),x81853),x81852)),x81854)) % 153.71/153.55 [8186]~P60(x81861)+P134(f327(f327(f228(x81861),x81862),f2(x81861)))+~P134(f327(f327(f227(x81861),x81863),f2(x81861)))+P134(f327(f327(f227(x81861),x81863),f327(f327(f278(x81861),x81864),x81862)))+~P134(f327(f327(f227(x81861),f327(f327(f85(x81861),x81863),x81862)),x81864)) % 153.71/153.55 [8335]~P60(x83351)+~P134(f327(f327(f228(x83351),x83352),f2(x83351)))+P134(f327(f327(f228(x83351),f2(x83351)),x83352))+~P134(f327(f327(f228(x83351),f327(f327(f278(x83351),x83354),x83352)),x83353))+P134(f327(f327(f228(x83351),f327(f327(f85(x83351),x83353),x83352)),x83354)) % 153.71/153.55 [8336]~P60(x83361)+~P134(f327(f327(f228(x83361),x83362),f2(x83361)))+P134(f327(f327(f228(x83361),f2(x83361)),x83362))+~P134(f327(f327(f228(x83361),f327(f327(f85(x83361),x83364),x83362)),x83363))+P134(f327(f327(f228(x83361),f327(f327(f278(x83361),x83363),x83362)),x83364)) % 153.71/153.55 [8337]~P60(x83371)+~P134(f327(f327(f228(x83371),x83372),f2(x83371)))+P134(f327(f327(f228(x83371),f2(x83371)),x83372))+~P134(f327(f327(f227(x83371),f327(f327(f278(x83371),x83374),x83372)),x83373))+P134(f327(f327(f227(x83371),f327(f327(f85(x83371),x83373),x83372)),x83374)) % 153.71/153.55 [8338]~P60(x83381)+~P134(f327(f327(f228(x83381),x83382),f2(x83381)))+P134(f327(f327(f228(x83381),f2(x83381)),x83382))+~P134(f327(f327(f227(x83381),f327(f327(f85(x83381),x83384),x83382)),x83383))+P134(f327(f327(f227(x83381),f327(f327(f278(x83381),x83383),x83382)),x83384)) % 153.71/153.55 [8354]~P60(x83541)+~P134(f327(f327(f228(x83541),f2(x83541)),x83544))+P134(f327(f327(f228(x83541),f2(x83541)),x83542))+~P134(f327(f327(f228(x83541),f327(f327(f85(x83541),x83544),x83542)),x83543))+P134(f327(f327(f228(x83541),f327(f327(f278(x83541),x83543),x83542)),x83544)) % 153.71/153.55 [8355]~P60(x83551)+~P134(f327(f327(f227(x83551),f2(x83551)),x83554))+P134(f327(f327(f228(x83551),f2(x83551)),x83552))+~P134(f327(f327(f227(x83551),f327(f327(f85(x83551),x83554),x83552)),x83553))+P134(f327(f327(f227(x83551),f327(f327(f278(x83551),x83553),x83552)),x83554)) % 153.71/153.55 [8429]~P60(x84291)+~P134(f327(f327(f228(x84291),x84294),f2(x84291)))+~P134(f327(f327(f228(x84291),x84293),f327(f327(f85(x84291),x84292),x84294)))+P134(f327(f327(f228(x84291),x84292),f327(f327(f278(x84291),x84293),x84294)))+~P134(f327(f327(f228(x84291),f327(f327(f85(x84291),x84292),x84294)),x84293)) % 153.71/153.55 [8430]~P60(x84301)+~P134(f327(f327(f228(x84301),x84302),f2(x84301)))+~P134(f327(f327(f228(x84301),x84303),f327(f327(f85(x84301),x84302),x84304)))+P134(f327(f327(f228(x84301),x84302),f327(f327(f278(x84301),x84303),x84304)))+~P134(f327(f327(f228(x84301),f327(f327(f85(x84301),x84302),x84304)),x84303)) % 153.71/153.55 [8431]~P60(x84311)+~P134(f327(f327(f228(x84311),x84314),f2(x84311)))+~P134(f327(f327(f227(x84311),x84313),f327(f327(f85(x84311),x84312),x84314)))+P134(f327(f327(f227(x84311),x84312),f327(f327(f278(x84311),x84313),x84314)))+~P134(f327(f327(f227(x84311),f327(f327(f85(x84311),x84312),x84314)),x84313)) % 153.71/153.55 [8432]~P60(x84321)+~P134(f327(f327(f227(x84321),x84322),f2(x84321)))+~P134(f327(f327(f227(x84321),x84323),f327(f327(f85(x84321),x84322),x84324)))+P134(f327(f327(f227(x84321),x84322),f327(f327(f278(x84321),x84323),x84324)))+~P134(f327(f327(f227(x84321),f327(f327(f85(x84321),x84322),x84324)),x84323)) % 153.71/153.55 [8531]~P60(x85311)+~P134(f327(f327(f228(x85311),x85313),f2(x85311)))+~P134(f327(f327(f228(x85311),x85312),f327(f327(f85(x85311),x85314),x85313)))+~P134(f327(f327(f228(x85311),f327(f327(f85(x85311),x85314),x85313)),x85312))+P134(f327(f327(f228(x85311),f327(f327(f278(x85311),x85312),x85313)),x85314)) % 153.71/153.55 [8532]~P60(x85321)+~P134(f327(f327(f228(x85321),x85323),f2(x85321)))+~P134(f327(f327(f227(x85321),x85322),f327(f327(f85(x85321),x85324),x85323)))+~P134(f327(f327(f227(x85321),f327(f327(f85(x85321),x85324),x85323)),x85322))+P134(f327(f327(f227(x85321),f327(f327(f278(x85321),x85322),x85323)),x85324)) % 153.71/153.55 [8546]~P60(x85461)+~P134(f327(f327(f228(x85461),f2(x85461)),x85464))+~P134(f327(f327(f228(x85461),x85462),f327(f327(f85(x85461),x85464),x85463)))+~P134(f327(f327(f228(x85461),f327(f327(f85(x85461),x85464),x85463)),x85462))+P134(f327(f327(f228(x85461),f327(f327(f278(x85461),x85462),x85463)),x85464)) % 153.71/153.55 [8547]~P60(x85471)+~P134(f327(f327(f227(x85471),f2(x85471)),x85474))+~P134(f327(f327(f227(x85471),x85472),f327(f327(f85(x85471),x85474),x85473)))+~P134(f327(f327(f227(x85471),f327(f327(f85(x85471),x85474),x85473)),x85472))+P134(f327(f327(f227(x85471),f327(f327(f278(x85471),x85472),x85473)),x85474)) % 153.71/153.55 [8705]E(f327(f327(f3(a1),f426(x87051,x87052,x87053,x87054)),f427(x87051,x87052,x87053,x87054)),x87054)+~P134(f327(f327(f228(a1),f2(a1)),x87053))+~P134(f327(f327(f228(a1),x87054),x87052))+~P134(f327(f327(f329(a1),x87052),x87051))+P134(f327(f327(f228(a1),f327(f327(f84(a1),x87054),x87053)),x87052)) % 153.71/153.55 [8764]~P134(f327(x87641,x87642))+~P134(f327(f327(f228(a1),f2(a1)),x87644))+~P134(f327(f327(f227(a1),f2(a1)),x87643))+~P134(f327(x87641,f327(f327(f84(a1),f785(x87643,x87641,x87644)),x87644)))+P134(f327(x87641,f327(f327(f84(a1),x87642),f327(f327(f85(a1),x87643),x87644)))) % 153.71/153.55 [8765]~P134(f327(x87651,x87652))+~P134(f327(f327(f228(a1),f2(a1)),x87654))+~P134(f327(f327(f227(a1),f2(a1)),x87653))+~P134(f327(x87651,f327(f327(f3(a1),f791(x87653,x87651,x87654)),x87654)))+P134(f327(x87651,f327(f327(f3(a1),x87652),f327(f327(f85(a1),x87653),x87654)))) % 153.71/153.55 [8900]~P134(f327(f327(f228(a1),f2(a1)),x89003))+~P134(f327(f327(f228(a1),x89004),x89002))+~P134(f327(f327(f329(a1),x89002),x89001))+P134(f327(f327(f329(a1),f426(x89001,x89002,x89003,x89004)),x89001))+P134(f327(f327(f228(a1),f327(f327(f84(a1),x89004),x89003)),x89002)) % 153.71/153.55 [8920]E(f327(f327(f3(a1),f411(x89201,x89202,x89203,x89204)),f412(x89201,x89202,x89203,x89204)),x89204)+~P134(f327(f327(f228(a1),f2(a1)),x89203))+~P134(f327(f327(f227(a1),x89204),x89202))+~P134(f327(f327(f329(a1),f327(f327(f84(a1),x89202),f82(a1))),x89201))+P134(f327(f327(f227(a1),f327(f327(f84(a1),x89204),x89203)),x89202)) % 153.71/153.55 [8952]~P134(f327(f327(f228(a1),f2(a1)),x89522))+~P134(f327(f327(f228(a1),x89521),x89523))+~P134(f327(f327(f329(a1),x89523),x89524))+P134(f327(f327(f329(a1),f427(x89524,x89523,x89522,x89521)),f290(a1,f82(a1),x89522)))+P134(f327(f327(f228(a1),f327(f327(f84(a1),x89521),x89522)),x89523)) % 153.71/153.55 [9030]~P134(f327(f327(f228(a1),f2(a1)),x90303))+~P134(f327(f327(f227(a1),x90304),x90302))+P134(f327(f327(f329(a1),f411(x90301,x90302,x90303,x90304)),x90301))+~P134(f327(f327(f329(a1),f327(f327(f84(a1),x90302),f82(a1))),x90301))+P134(f327(f327(f227(a1),f327(f327(f84(a1),x90304),x90303)),x90302)) % 153.71/153.55 [9069]~P134(f327(f327(f228(a1),f2(a1)),x90692))+~P134(f327(f327(f227(a1),x90691),x90693))+P134(f327(f327(f329(a1),f412(x90694,x90693,x90692,x90691)),f290(a1,f82(a1),x90692)))+~P134(f327(f327(f329(a1),f327(f327(f84(a1),x90693),f82(a1))),x90694))+P134(f327(f327(f227(a1),f327(f327(f84(a1),x90691),x90692)),x90693)) % 153.71/153.55 [9334]~P33(x93341,x93343)+~P29(x93341,x93344)+P33(x93341,f327(f327(f100(f841(f840(x93341,x93341),a831)),x93342),x93343))+~P134(f327(f327(f227(f841(f840(x93341,x93341),a831)),x93342),f327(f235(f841(f840(x93341,x93341),a831),f841(f840(x93341,x93341),a831)),x93344)))+~P134(f327(f327(f227(f841(f840(x93341,x93341),a831)),x93343),f327(f245(f841(f840(x93341,x93341),a831),f841(f840(x93341,x93341),a831)),x93344))) % 153.71/153.55 [9605]~E(f327(f692(x96051,x96054,x96053,x96052),f694(x96051,x96054,x96053,x96052)),f179(f835(a830)))+P134(f327(f327(f228(a1),f693(x96051,x96054,x96053,x96052)),f694(x96051,x96054,x96053,x96052)))+P134(f327(f327(f327(x96051,x96052),x96053),x96054))+P134(f327(f327(f327(x96051,f692(x96051,x96054,x96053,x96052)),f693(x96051,x96054,x96053,x96052)),f327(f327(f84(a1),f694(x96051,x96054,x96053,x96052)),f82(a1))))+~P134(f327(f316(f840(f841(a1,f838(f835(a830))),f840(a1,a1)),a306),f327(f327(f236(f841(a1,f838(f835(a830))),f840(a1,a1)),x96052),f327(f327(f236(a1,a1),x96053),x96054)))) % 153.71/153.55 [9705]~P22(x97052,x97054,x97053)+E(x97051,f176(f841(x97052,a831)))+~P134(f327(f66(x97052),x97051))+P134(f327(f327(f329(x97052),f327(x97053,x97051)),x97051))+~P134(f327(f327(f329(x97052),f327(f327(x97054,f439(x97051,x97053,x97054,x97052)),f442(x97051,x97053,x97054,x97052))),f327(f327(f297(x97052),f439(x97051,x97053,x97054,x97052)),f327(f327(f297(x97052),f442(x97051,x97053,x97054,x97052)),f176(f841(x97052,a831)))))) % 153.71/153.55 [9255]~P51(x92551,x92551,x92554)+P134(f327(f327(f329(f840(x92551,x92551)),f327(f327(f236(x92551,x92551),x92552),x92553)),f295(x92551,x92554)))+P134(f327(f327(f329(f840(x92551,x92551)),f327(f327(f236(x92551,x92551),x92553),x92552)),f295(x92551,x92554)))+~P134(f327(f327(f329(f840(x92551,x92551)),f327(f327(f236(x92551,x92551),x92555),x92552)),f295(x92551,x92554)))+~P134(f327(f327(f329(f840(x92551,x92551)),f327(f327(f236(x92551,x92551),x92555),x92553)),f295(x92551,x92554))) % 153.71/153.55 [5446]E(x54461,f2(a834))+~E(f327(f43(x54462),x54465),x54461)+E(f327(f43(x54462),x54463),f327(a111,x54461))+~E(x54463,f327(f327(f297(x54462),x54464),x54465))+P134(f327(f327(f329(x54462),x54464),x54465)) % 153.71/153.55 [5576]~P59(x55762)+E(x55761,f2(x55762))+E(x55763,f2(x55762))+~E(f327(f327(f278(x55762),x55764),x55763),f327(f327(f278(x55762),x55765),x55761))+E(f327(f327(f85(x55762),x55764),x55761),f327(f327(f85(x55762),x55765),x55763)) % 153.71/153.55 [5577]~P59(x55772)+E(x55771,f2(x55772))+E(x55773,f2(x55772))+~E(f327(f327(f85(x55772),x55774),x55773),f327(f327(f85(x55772),x55775),x55771))+E(f327(f327(f278(x55772),x55774),x55771),f327(f327(f278(x55772),x55775),x55773)) % 153.71/153.55 [5654]~E(f327(f43(x56541),x56545),x56543)+~E(x56545,f176(f841(x56541,a831)))+E(f327(f43(x56541),x56542),f327(a111,x56543))+~E(x56542,f327(f327(f297(x56541),x56544),x56545))+P134(f327(f327(f329(x56541),x56544),x56545)) % 153.71/153.55 [5893]~P82(x58932)+~E(f327(x58933,x58935),f2(x58932))+E(f327(f327(f11(x58931,x58932),x58933),x58934),f2(x58932))+~P134(f327(f66(x58931),x58934))+~P134(f327(f327(f329(x58931),x58935),x58934)) % 153.71/153.55 [6279]~P97(x62793)+E(x62791,x62792)+~E(f327(f289(x62793,x62794),x62791),f327(f289(x62793,x62795),x62792))+~P134(f327(f327(f228(x62793),x62795),x62792))+~P134(f327(f327(f228(x62793),x62794),x62791)) % 153.71/153.55 [6280]~P97(x62803)+E(x62801,x62802)+~E(f327(f289(x62803,x62801),x62804),f327(f289(x62803,x62802),x62805))+~P134(f327(f327(f228(x62803),x62802),x62805))+~P134(f327(f327(f228(x62803),x62801),x62804)) % 153.71/153.55 [7385]~P97(x73851)+~P18(x73851,f327(f327(f122(x73851),x73854),x73855))+~P134(f327(f327(f329(x73851),x73853),f327(f154(x73851),x73855)))+~P134(f327(f327(f329(x73851),x73852),f327(f154(x73851),x73854)))+P134(f327(f327(f227(x73851),x73852),x73853)) % 153.71/153.55 [8463]~P96(x84631)+~P134(f327(f327(f228(f841(x84631,a831)),f290(x84631,x84635,x84632)),f290(x84631,x84634,x84633)))+~P134(f327(f327(f227(x84631),x84635),x84632))+P134(f327(f327(f228(x84631),x84632),x84633))+P134(f327(f327(f228(x84631),x84634),x84635)) % 153.71/153.55 [9749]~P21(x97492,x97495,x97493)+E(x97491,f176(f841(x97492,a831)))+~E(f327(f327(x97495,f327(x97494,f551(x97491,x97494,x97493,x97495,x97492))),f327(x97494,f552(x97491,x97494,x97493,x97495,x97492))),f327(x97494,f327(f327(x97495,f551(x97491,x97494,x97493,x97495,x97492)),f552(x97491,x97494,x97493,x97495,x97492))))+E(f327(x97493,f327(f298(x97492,x97492,x97494),x97491)),f327(x97494,f327(x97493,x97491)))+~P134(f327(f66(x97492),x97491)) % 153.71/153.55 [6276]~P22(x62762,x62765,x62763)+E(x62761,f176(f841(x62762,a831)))+~P134(f327(f66(x62762),x62761))+E(f327(x62763,f327(f327(f297(x62762),x62764),x62761)),f327(f327(x62765,x62764),f327(x62763,x62761)))+P134(f327(f327(f329(x62762),x62764),x62761)) % 153.71/153.55 [7125]~P21(x71252,x71253,x71254)+E(f327(f327(x71253,f327(x71254,x71251)),f327(x71254,x71255)),f327(x71254,x71255))+E(x71251,f176(f841(x71252,a831)))+~P134(f327(f66(x71252),x71255))+~P134(f327(f327(f227(f841(x71252,a831)),x71251),x71255)) % 153.71/153.55 [7525]~P22(x75254,x75255,x75251)+E(f327(x75251,x75252),x75253)+~P134(f327(f66(x75254),x75252))+~E(f327(f327(f3(f841(x75254,a831)),x75252),f327(f327(f297(x75254),x75253),f176(f841(x75254,a831)))),f176(f841(x75254,a831)))+~P134(f327(f327(f329(x75254),x75253),x75252)) % 153.71/153.55 [7672]E(x76721,x76722)+~E(f327(f177(f835(x76723)),x76722),f327(f177(f835(x76724)),x76725))+~E(f327(f177(f835(x76723)),x76721),f327(f177(f835(x76724)),x76725))+~E(f162(x76724,x76723,f327(f327(f163(x76724,x76723),x76725),x76721)),f162(x76724,x76723,f327(f327(f163(x76724,x76723),x76725),x76722)))+~P134(f327(f124(x76724),x76725)) % 153.71/153.55 [8386]~P68(x83861)+~P109(x83861)+~P134(f327(f66(x83862),x83865))+P134(f327(f327(f274(x83861),f327(f327(f11(x83862,x83861),x83863),x83864)),f327(f327(f11(x83862,x83861),x83863),x83865)))+~P134(f327(f327(f227(f841(x83862,a831)),x83864),x83865)) % 153.71/153.55 [8436]E(x84361,x84362)+~P12(x84363,x84364,x84365)+E(f327(f327(f101(f841(x84363,a831)),x84361),x84362),f176(f841(x84363,a831)))+~P134(f327(f327(f329(f841(x84363,a831)),x84362),f327(f327(f62(x84363),x84364),x84365)))+~P134(f327(f327(f329(f841(x84363,a831)),x84361),f327(f327(f62(x84363),x84364),x84365))) % 153.71/153.55 [9135]~P65(x91352)+~E(f327(x91353,f468(x91353,x91354,x91355,x91351,x91352)),f2(x91352))+E(f327(f327(f8(x91351,x91352),x91353),x91354),f327(f327(f8(x91351,x91352),x91353),x91355))+~P134(f327(f66(x91351),x91355))+~P134(f327(f327(f227(f841(x91351,a831)),x91354),x91355)) % 153.71/153.55 [9136]~P65(x91362)+~E(f327(x91363,f470(x91363,x91364,x91365,x91361,x91362)),f2(x91362))+E(f327(f327(f8(x91361,x91362),x91363),x91364),f327(f327(f8(x91361,x91362),x91363),x91365))+~P134(f327(f66(x91361),x91365))+~P134(f327(f327(f227(f841(x91361,a831)),x91364),x91365)) % 153.71/153.55 [9137]~P68(x91372)+~E(f327(x91373,f465(x91373,x91374,x91375,x91371,x91372)),f82(x91372))+E(f327(f327(f11(x91371,x91372),x91373),x91374),f327(f327(f11(x91371,x91372),x91373),x91375))+~P134(f327(f66(x91371),x91375))+~P134(f327(f327(f227(f841(x91371,a831)),x91374),x91375)) % 153.71/153.55 [9138]~P68(x91382)+~E(f327(x91383,f469(x91383,x91384,x91385,x91381,x91382)),f82(x91382))+E(f327(f327(f11(x91381,x91382),x91383),x91384),f327(f327(f11(x91381,x91382),x91383),x91385))+~P134(f327(f66(x91381),x91385))+~P134(f327(f327(f227(f841(x91381,a831)),x91384),x91385)) % 153.71/153.55 [9587]~P78(x95871)+~P134(f327(f66(x95872),x95875))+~P134(f327(f327(f227(x95871),f2(x95871)),f327(x95873,f429(x95873,x95874,x95875,x95872,x95871))))+P134(f327(f327(f227(x95871),f327(f327(f8(x95872,x95871),x95873),x95874)),f327(f327(f8(x95872,x95871),x95873),x95875)))+~P134(f327(f327(f227(f841(x95872,a831)),x95874),x95875)) % 153.71/153.55 [7382]E(x73821,f2(a834))+P134(f327(x73822,x73823))+~E(x73824,f327(f327(f84(a834),f327(f327(f85(a834),x73821),x73823)),x73825))+~P134(f327(f327(f228(a834),x73825),x73821))+~P134(f327(x73822,f327(f327(f44(a834),x73824),x73821))) % 153.71/153.55 [7464]E(x74641,f2(a834))+P134(f327(x74642,x74643))+~P134(f327(x74642,f53(a834,x74644,x74641)))+~E(x74644,f327(f327(f84(a834),f327(f327(f85(a834),x74641),x74645)),x74643))+~P134(f327(f327(f228(a834),x74643),x74641)) % 153.71/153.55 [7758]~P59(x77583)+E(f327(x77581,x77582),f2(x77583))+~P134(f327(f66(x77584),x77585))+E(f327(f327(f11(x77584,x77583),x77581),f327(f327(f3(f841(x77584,a831)),x77585),f327(f327(f297(x77584),x77582),f176(f841(x77584,a831))))),f327(f327(f11(x77584,x77583),x77581),x77585))+P134(f327(f327(f329(x77584),x77582),x77585)) % 153.71/153.55 [8144]~P65(x81441)+~P134(f327(f66(x81442),x81445))+~P134(f327(f66(x81442),x81444))+~E(f327(f327(f101(f841(x81442,a831)),x81444),x81445),f176(f841(x81442,a831)))+E(f327(f327(f84(x81441),f327(f327(f8(x81442,x81441),x81443),x81444)),f327(f327(f8(x81442,x81441),x81443),x81445)),f327(f327(f8(x81442,x81441),x81443),f327(f327(f100(f841(x81442,a831)),x81444),x81445))) % 153.71/153.55 [8146]~P68(x81461)+~P134(f327(f66(x81462),x81465))+~P134(f327(f66(x81462),x81464))+~E(f327(f327(f101(f841(x81462,a831)),x81464),x81465),f176(f841(x81462,a831)))+E(f327(f327(f85(x81461),f327(f327(f11(x81462,x81461),x81463),x81464)),f327(f327(f11(x81462,x81461),x81463),x81465)),f327(f327(f11(x81462,x81461),x81463),f327(f327(f100(f841(x81462,a831)),x81464),x81465))) % 153.71/153.55 [8236]~P59(x82363)+E(f327(x82361,x82362),f2(x82363))+~P134(f327(f66(x82364),x82365))+E(f327(f327(f11(x82364,x82363),x82361),f327(f327(f3(f841(x82364,a831)),x82365),f327(f327(f297(x82364),x82362),f176(f841(x82364,a831))))),f327(f327(f278(x82363),f327(f327(f11(x82364,x82363),x82361),x82365)),f327(x82361,x82362)))+~P134(f327(f327(f329(x82364),x82362),x82365)) % 153.71/153.55 [8882]~P12(x88821,x88825,x88824)+~E(f327(f327(f62(x88821),f327(f327(f297(x88821),x88822),f176(f841(x88821,a831)))),x88824),f327(f327(f62(x88821),f327(f327(f297(x88821),x88823),f176(f841(x88821,a831)))),x88824))+~P134(f327(f327(f329(x88821),x88823),x88825))+~P134(f327(f327(f329(x88821),x88822),x88825))+P134(f327(f327(f329(f840(x88821,x88821)),f327(f327(f236(x88821,x88821),x88822),x88823)),x88824)) % 153.71/153.55 [8899]~P12(x88991,x88995,x88993)+E(f327(f327(f62(x88991),f327(f327(f297(x88991),x88992),f176(f841(x88991,a831)))),x88993),f327(f327(f62(x88991),f327(f327(f297(x88991),x88994),f176(f841(x88991,a831)))),x88993))+~P134(f327(f327(f329(x88991),x88994),x88995))+~P134(f327(f327(f329(x88991),x88992),x88995))+~P134(f327(f327(f329(f840(x88991,x88991)),f327(f327(f236(x88991,x88991),x88992),x88994)),x88993)) % 153.71/153.55 [9162]~P68(x91621)+~P134(f327(f66(x91622),x91625))+~P134(f327(f66(x91622),x91624))+~E(f327(f327(f101(f841(x91622,a831)),x91624),x91625),f176(f841(x91622,a831)))+E(f327(f327(f85(x91621),f327(f327(f327(f70(x91621,x91622,f85(x91621)),x91623),f82(x91621)),x91624)),f327(f327(f327(f70(x91621,x91622,f85(x91621)),x91623),f82(x91621)),x91625)),f327(f327(f327(f70(x91621,x91622,f85(x91621)),x91623),f82(x91621)),f327(f327(f100(f841(x91622,a831)),x91624),x91625))) % 153.71/153.55 [9172]~P65(x91721)+~E(f327(x91723,f492(x91723,x91725,x91724,x91722,x91721)),f2(x91721))+~P134(f327(f66(x91722),x91724))+~P134(f327(f66(x91722),x91725))+E(f327(f327(f84(x91721),f327(f327(f8(x91722,x91721),x91723),x91724)),f327(f327(f8(x91722,x91721),x91723),x91725)),f327(f327(f8(x91722,x91721),x91723),f327(f327(f100(f841(x91722,a831)),x91724),x91725))) % 153.71/153.55 [9173]~P65(x91731)+~E(f327(x91733,f496(x91733,x91735,x91734,x91732,x91731)),f2(x91731))+~P134(f327(f66(x91732),x91734))+~P134(f327(f66(x91732),x91735))+E(f327(f327(f84(x91731),f327(f327(f8(x91732,x91731),x91733),x91734)),f327(f327(f8(x91732,x91731),x91733),x91735)),f327(f327(f8(x91732,x91731),x91733),f327(f327(f100(f841(x91732,a831)),x91734),x91735))) % 153.71/153.55 [9174]~P68(x91741)+~E(f327(x91743,f493(x91743,x91745,x91744,x91742,x91741)),f82(x91741))+~P134(f327(f66(x91742),x91744))+~P134(f327(f66(x91742),x91745))+E(f327(f327(f85(x91741),f327(f327(f11(x91742,x91741),x91743),x91744)),f327(f327(f11(x91742,x91741),x91743),x91745)),f327(f327(f11(x91742,x91741),x91743),f327(f327(f100(f841(x91742,a831)),x91744),x91745))) % 153.71/153.55 [9175]~P68(x91751)+~E(f327(x91753,f495(x91753,x91755,x91754,x91752,x91751)),f82(x91751))+~P134(f327(f66(x91752),x91754))+~P134(f327(f66(x91752),x91755))+E(f327(f327(f85(x91751),f327(f327(f11(x91752,x91751),x91753),x91754)),f327(f327(f11(x91752,x91751),x91753),x91755)),f327(f327(f11(x91752,x91751),x91753),f327(f327(f100(f841(x91752,a831)),x91754),x91755))) % 153.71/153.55 [9376]~P68(x93761)+~E(f327(x93763,f514(x93763,x93765,x93764,x93762,x93761)),f82(x93761))+~P134(f327(f66(x93762),x93764))+~P134(f327(f66(x93762),x93765))+E(f327(f327(f85(x93761),f327(f327(f327(f70(x93761,x93762,f85(x93761)),x93763),f82(x93761)),x93764)),f327(f327(f327(f70(x93761,x93762,f85(x93761)),x93763),f82(x93761)),x93765)),f327(f327(f327(f70(x93761,x93762,f85(x93761)),x93763),f82(x93761)),f327(f327(f100(f841(x93762,a831)),x93764),x93765))) % 153.71/153.55 [9479]~P65(x94792)+E(f327(f327(f8(x94791,x94792),x94793),x94794),f327(f327(f8(x94791,x94792),x94793),x94795))+~P134(f327(f66(x94791),x94795))+~P134(f327(f327(f227(f841(x94791,a831)),x94794),x94795))+P134(f327(f327(f329(x94791),f468(x94793,x94794,x94795,x94791,x94792)),f327(f327(f3(f841(x94791,a831)),x94795),x94794))) % 153.71/153.55 [9480]~P65(x94802)+E(f327(f327(f8(x94801,x94802),x94803),x94804),f327(f327(f8(x94801,x94802),x94803),x94805))+~P134(f327(f66(x94801),x94805))+~P134(f327(f327(f227(f841(x94801,a831)),x94804),x94805))+P134(f327(f327(f329(x94801),f470(x94803,x94804,x94805,x94801,x94802)),f327(f327(f3(f841(x94801,a831)),x94805),x94804))) % 153.71/153.55 [9481]~P68(x94812)+E(f327(f327(f11(x94811,x94812),x94813),x94814),f327(f327(f11(x94811,x94812),x94813),x94815))+~P134(f327(f66(x94811),x94815))+~P134(f327(f327(f227(f841(x94811,a831)),x94814),x94815))+P134(f327(f327(f329(x94811),f465(x94813,x94814,x94815,x94811,x94812)),f327(f327(f3(f841(x94811,a831)),x94815),x94814))) % 153.71/153.55 [9482]~P68(x94822)+E(f327(f327(f11(x94821,x94822),x94823),x94824),f327(f327(f11(x94821,x94822),x94823),x94825))+~P134(f327(f66(x94821),x94825))+~P134(f327(f327(f227(f841(x94821,a831)),x94824),x94825))+P134(f327(f327(f329(x94821),f469(x94823,x94824,x94825,x94821,x94822)),f327(f327(f3(f841(x94821,a831)),x94825),x94824))) % 153.71/153.55 [9497]~P65(x94971)+~P134(f327(f66(x94972),x94974))+~P134(f327(f66(x94972),x94975))+E(f327(f327(f84(x94971),f327(f327(f8(x94972,x94971),x94973),x94974)),f327(f327(f8(x94972,x94971),x94973),x94975)),f327(f327(f8(x94972,x94971),x94973),f327(f327(f100(f841(x94972,a831)),x94974),x94975)))+P134(f327(f327(f329(x94972),f492(x94973,x94975,x94974,x94972,x94971)),f327(f327(f101(f841(x94972,a831)),x94974),x94975))) % 153.71/153.55 [9498]~P65(x94981)+~P134(f327(f66(x94982),x94984))+~P134(f327(f66(x94982),x94985))+E(f327(f327(f84(x94981),f327(f327(f8(x94982,x94981),x94983),x94984)),f327(f327(f8(x94982,x94981),x94983),x94985)),f327(f327(f8(x94982,x94981),x94983),f327(f327(f100(f841(x94982,a831)),x94984),x94985)))+P134(f327(f327(f329(x94982),f496(x94983,x94985,x94984,x94982,x94981)),f327(f327(f101(f841(x94982,a831)),x94984),x94985))) % 153.71/153.55 [9499]~P68(x94991)+~P134(f327(f66(x94992),x94994))+~P134(f327(f66(x94992),x94995))+E(f327(f327(f85(x94991),f327(f327(f11(x94992,x94991),x94993),x94994)),f327(f327(f11(x94992,x94991),x94993),x94995)),f327(f327(f11(x94992,x94991),x94993),f327(f327(f100(f841(x94992,a831)),x94994),x94995)))+P134(f327(f327(f329(x94992),f493(x94993,x94995,x94994,x94992,x94991)),f327(f327(f101(f841(x94992,a831)),x94994),x94995))) % 153.71/153.55 [9500]~P68(x95001)+~P134(f327(f66(x95002),x95004))+~P134(f327(f66(x95002),x95005))+E(f327(f327(f85(x95001),f327(f327(f11(x95002,x95001),x95003),x95004)),f327(f327(f11(x95002,x95001),x95003),x95005)),f327(f327(f11(x95002,x95001),x95003),f327(f327(f100(f841(x95002,a831)),x95004),x95005)))+P134(f327(f327(f329(x95002),f495(x95003,x95005,x95004,x95002,x95001)),f327(f327(f101(f841(x95002,a831)),x95004),x95005))) % 153.71/153.55 [9512]~P78(x95125)+~P134(f327(f66(x95121),x95124))+P134(f327(f327(f227(x95125),f327(f327(f8(x95121,x95125),x95122),x95123)),f327(f327(f8(x95121,x95125),x95122),x95124)))+~P134(f327(f327(f227(f841(x95121,a831)),x95123),x95124))+P134(f327(f327(f329(x95121),f429(x95122,x95123,x95124,x95121,x95125)),f327(f327(f3(f841(x95121,a831)),x95124),x95123))) % 153.71/153.55 [9554]~P68(x95541)+~P134(f327(f66(x95542),x95544))+~P134(f327(f66(x95542),x95545))+E(f327(f327(f85(x95541),f327(f327(f327(f70(x95541,x95542,f85(x95541)),x95543),f82(x95541)),x95544)),f327(f327(f327(f70(x95541,x95542,f85(x95541)),x95543),f82(x95541)),x95545)),f327(f327(f327(f70(x95541,x95542,f85(x95541)),x95543),f82(x95541)),f327(f327(f100(f841(x95542,a831)),x95544),x95545)))+P134(f327(f327(f329(x95542),f514(x95543,x95545,x95544,x95542,x95541)),f327(f327(f101(f841(x95542,a831)),x95544),x95545))) % 153.71/153.55 [8613]~P22(x86131,x86134,x86135)+~P134(f327(f66(x86131),x86132))+E(f327(f327(f3(f841(x86131,a831)),x86132),f327(f327(f297(x86131),x86133),f176(f841(x86131,a831)))),f176(f841(x86131,a831)))+~P134(f327(f327(f329(x86131),x86133),x86132))+E(f327(f327(x86134,x86133),f327(x86135,f327(f327(f3(f841(x86131,a831)),x86132),f327(f327(f297(x86131),x86133),f176(f841(x86131,a831)))))),f327(x86135,x86132)) % 153.71/153.55 [8681]~P22(x86811,x86814,x86815)+~P134(f327(f66(x86811),x86813))+~P134(f327(f66(x86811),x86812))+E(f327(f327(f101(f841(x86811,a831)),x86812),x86813),f176(f841(x86811,a831)))+E(f327(f327(x86814,f327(x86815,f327(f327(f100(f841(x86811,a831)),x86812),x86813))),f327(x86815,f327(f327(f101(f841(x86811,a831)),x86812),x86813))),f327(f327(x86814,f327(x86815,x86812)),f327(x86815,x86813))) % 153.71/153.55 [9177]~P134(f327(f327(f227(a1),x91774),f2(a1)))+~P134(f327(f327(f228(a1),x91773),x91775))+P134(f327(f327(f227(a1),x91771),x91772))+~P134(f327(f327(f228(a1),x91773),x91774))+~P134(f327(f327(f227(a1),f327(f327(f84(a1),f327(f327(f85(a1),x91773),x91772)),x91775)),f327(f327(f84(a1),f327(f327(f85(a1),x91773),x91771)),x91774))) % 153.71/153.55 [9179]~P134(f327(f327(f227(a1),f2(a1)),x91795))+P134(f327(f327(f227(a1),x91791),x91792))+~P134(f327(f327(f228(a1),x91793),x91794))+~P134(f327(f327(f228(a1),x91795),x91794))+~P134(f327(f327(f227(a1),f327(f327(f84(a1),f327(f327(f85(a1),x91794),x91791)),x91795)),f327(f327(f84(a1),f327(f327(f85(a1),x91794),x91792)),x91793))) % 153.71/153.55 [9289]~P59(x92895)+E(f327(x92891,f494(x92891,x92892,x92893,x92894,x92895)),f2(x92895))+~P134(f327(f66(x92894),x92893))+~P134(f327(f66(x92894),x92892))+E(f327(f327(f278(x92895),f327(f327(f85(x92895),f327(f327(f11(x92894,x92895),x92891),x92893)),f327(f327(f11(x92894,x92895),x92891),x92892))),f327(f327(f11(x92894,x92895),x92891),f327(f327(f101(f841(x92894,a831)),x92893),x92892))),f327(f327(f11(x92894,x92895),x92891),f327(f327(f100(f841(x92894,a831)),x92893),x92892))) % 153.71/153.55 [9547]~P59(x95471)+~P134(f327(f66(x95472),x95474))+~P134(f327(f66(x95472),x95475))+E(f327(f327(f278(x95471),f327(f327(f85(x95471),f327(f327(f11(x95472,x95471),x95473),x95474)),f327(f327(f11(x95472,x95471),x95473),x95475))),f327(f327(f11(x95472,x95471),x95473),f327(f327(f101(f841(x95472,a831)),x95474),x95475))),f327(f327(f11(x95472,x95471),x95473),f327(f327(f100(f841(x95472,a831)),x95474),x95475)))+P134(f327(f327(f329(x95472),f494(x95473,x95475,x95474,x95472,x95471)),f327(f327(f101(f841(x95472,a831)),x95474),x95475))) % 153.71/153.55 [8919]E(f327(f327(f122(x89191),x89192),x89193),f327(f327(f122(x89191),x89194),x89195))+~E(f327(f327(f155(x89191),f327(f177(f835(x89191)),x89194)),x89192),x89194)+~E(f327(f327(f155(x89191),f327(f177(f835(x89191)),x89192)),x89194),x89192)+~E(x89195,f327(f327(f122(x89191),f327(f327(f125(x89191),f327(f177(f835(x89191)),x89194)),x89192)),x89193))+~E(f327(f327(f122(x89191),f327(f327(f125(x89191),f327(f177(f835(x89191)),x89192)),x89194)),x89195),x89193) % 153.71/153.55 [9287]~P97(x92872)+E(f327(f327(f134(x92871,x92872,x92873),x92874),f152(x92871,x92874,x92875)),x92875)+~P18(x92872,f327(f327(f138(x92871,x92872),x92873),x92875))+~P134(f327(f327(f329(x92871),x92874),f327(f154(x92871),x92875)))+~E(f327(f127(x92871),f327(f123(x92871,f327(f327(f10(x92872,a831,x92871),f327(a324,f327(x92873,x92874))),x92873)),x92875)),x92874) % 153.71/153.55 [9601]~P62(x96011)+~P134(f327(f71(x96011,x96011,f85(x96011),x96012,x96013),x96015))+~P134(f327(f327(f329(x96011),x96014),x96013))+P134(f327(f327(f329(x96011),x96012),x96013))+P134(f327(f71(x96011,x96011,f85(x96011),x96014,f327(f327(f297(x96011),x96012),f327(f327(f3(f841(x96011,a831)),x96013),f327(f327(f297(x96011),x96014),f176(f841(x96011,a831)))))),x96015)) % 153.71/153.55 [7132]E(x71321,x71322)+~P28(x71324,x71325,x71323,x71326)+~E(f327(x71323,x71321),f327(x71323,x71322))+~P134(f327(f327(f329(x71324),x71322),x71326))+~P134(f327(f327(f329(x71324),x71321),x71326)) % 153.71/153.55 [6371]~P135(x63714)+E(x63711,x63712)+~E(x63715,x63716)+E(x63713,f2(x63714))+~E(f327(f327(f84(x63714),x63715),f327(f327(f85(x63714),x63713),x63711)),f327(f327(f84(x63714),x63716),f327(f327(f85(x63714),x63713),x63712))) % 153.71/153.55 [7443]~P97(x74431)+~P9(x74431)+~P134(f327(f327(f228(x74431),x74432),f327(x74435,x74436)))+~P134(f327(f327(f329(x74433),x74436),x74434))+P134(f327(f327(f228(x74431),x74432),f327(f327(f47(x74433,x74431),x74434),x74435))) % 153.71/153.55 [9764]~P82(x97646)+~P134(f327(f66(x97641),x97645))+P134(f327(f327(f329(x97641),f614(x97642,x97643,x97644,x97645,x97641,x97646)),x97644))+P134(f327(f327(f274(x97646),f327(f327(f11(x97641,x97646),x97643),x97644)),f327(f327(f11(x97641,x97646),x97642),x97645)))+~P134(f327(f327(f227(f841(x97641,a831)),x97644),x97645)) % 153.71/153.55 [9883]~P82(x98831)+~P134(f327(f66(x98832),x98836))+~P134(f327(f327(f274(x98831),f327(x98833,f614(x98835,x98833,x98834,x98836,x98832,x98831))),f327(x98835,f614(x98835,x98833,x98834,x98836,x98832,x98831))))+P134(f327(f327(f274(x98831),f327(f327(f11(x98832,x98831),x98833),x98834)),f327(f327(f11(x98832,x98831),x98835),x98836)))+~P134(f327(f327(f227(f841(x98832,a831)),x98834),x98836)) % 153.71/153.55 [8115]~P97(x81151)+~P9(x81151)+~P134(f327(f327(f228(x81151),f327(x81154,x81156)),x81155))+~P134(f327(f327(f329(x81152),x81156),x81153))+P134(f327(f327(f228(x81151),f327(f327(f48(x81152,x81151),x81153),x81154)),x81155)) % 153.71/153.55 [8361]~P23(x83612,x83615,x83616,x83611)+~P134(f327(f66(x83612),x83614))+~P134(f327(f66(x83612),x83613))+~E(f327(f327(f101(f841(x83612,a831)),x83613),x83614),f176(f841(x83612,a831)))+E(f327(x83611,f327(f327(f100(f841(x83612,a831)),x83613),x83614)),f327(f77(x83615,x83615,x83615,f327(x83611,x83613)),f327(x83611,x83614))) % 153.71/153.55 [9005]~P109(x90051)+~P105(x90051)+~P134(f327(f327(f274(x90051),x90052),x90055))+~P134(f327(f327(f274(x90051),x90052),f327(f327(f84(x90051),x90053),x90056)))+P134(f327(f327(f274(x90051),x90052),f327(f327(f84(x90051),f327(f327(f3(x90051),x90053),f327(f327(f85(x90051),x90054),x90055))),x90056))) % 153.71/153.55 [9167]~P109(x91671)+~P105(x91671)+~P134(f327(f327(f274(x91671),x91672),x91675))+P134(f327(f327(f274(x91671),x91672),f327(f327(f84(x91671),x91673),x91674)))+~P134(f327(f327(f274(x91671),x91672),f327(f327(f84(x91671),f327(f327(f3(x91671),x91673),f327(f327(f85(x91671),x91676),x91675))),x91674))) % 153.71/153.55 [8652]E(x86521,x86522)+~P53(x86524,x86525,x86526,x86523,x86527)+~E(f327(x86523,x86521),f327(x86523,x86522))+~P134(f327(f327(f329(x86525),x86522),x86527))+~P134(f327(f327(f329(x86525),x86521),x86527)) % 153.71/153.55 [9891]~P12(x98911,x98917,x98916)+~P16(x98911,f841(x98915,a831),x98916,x98914)+P134(f327(f327(f329(x98911),f490(x98912,x98913,x98914,x98915,x98916,x98917,x98911)),x98917))+~P134(f327(f327(f329(f841(x98911,a831)),x98913),f327(f327(f62(x98911),x98917),x98916)))+P134(f327(f327(f329(f841(x98915,a831)),f327(f327(f47(x98911,f841(x98915,a831)),x98913),x98914)),x98912)) % 153.71/153.55 [9937]~P12(x99372,x99376,x99377)+~P16(x99372,f841(x99371,a831),x99377,x99374)+~P134(f327(f327(f329(f841(x99372,a831)),x99373),f327(f327(f62(x99372),x99376),x99377)))+~P134(f327(f327(f329(f841(x99371,a831)),f327(x99374,f490(x99375,x99373,x99374,x99371,x99377,x99376,x99372))),x99375))+P134(f327(f327(f329(f841(x99371,a831)),f327(f327(f47(x99372,f841(x99371,a831)),x99373),x99374)),x99375)) % 153.71/153.55 [8281]~P68(x82812)+~P28(x82811,x82815,x82818,x82814)+~E(x82813,f327(f77(x82815,x82812,x82811,x82816),x82818))+~E(x82817,f327(f298(x82811,x82815,x82818),x82814))+E(f327(f327(f11(x82811,x82812),x82813),x82814),f327(f327(f11(x82815,x82812),x82816),x82817)) % 153.71/153.55 [9940]~P68(x99402)+~P28(x99405,x99401,x99408,x99407)+~E(f327(x99406,f516(x99403,x99406,x99404,x99407,x99408,x99401,x99405,x99402)),f327(f327(f77(x99401,x99402,x99405,x99403),x99408),f516(x99403,x99406,x99404,x99407,x99408,x99401,x99405,x99402)))+~E(x99404,f327(f298(x99405,x99401,x99408),x99407))+E(f327(f327(f11(x99401,x99402),x99403),x99404),f327(f327(f11(x99405,x99402),x99406),x99407)) % 153.71/153.55 [9943]~P65(x99432)+~P28(x99431,x99435,x99438,x99434)+~E(x99437,f327(f298(x99431,x99435,x99438),x99434))+E(f327(f327(f8(x99431,x99432),x99433),x99434),f327(f327(f8(x99435,x99432),x99436),x99437))+P134(f327(f327(f329(x99431),f619(x99436,x99433,x99437,x99434,x99438,x99435,x99431,x99432)),x99434)) % 153.71/153.55 [9944]~P68(x99442)+~P28(x99441,x99445,x99448,x99444)+~E(x99447,f327(f298(x99441,x99445,x99448),x99444))+E(f327(f327(f11(x99441,x99442),x99443),x99444),f327(f327(f11(x99445,x99442),x99446),x99447))+P134(f327(f327(f329(x99441),f516(x99446,x99443,x99447,x99444,x99448,x99445,x99441,x99442)),x99444)) % 153.71/153.55 [9947]~P65(x99472)+~P28(x99475,x99471,x99478,x99477)+~E(x99474,f327(f298(x99475,x99471,x99478),x99477))+~E(f327(x99476,f619(x99473,x99476,x99474,x99477,x99478,x99471,x99475,x99472)),f327(x99473,f327(x99478,f619(x99473,x99476,x99474,x99477,x99478,x99471,x99475,x99472))))+E(f327(f327(f8(x99471,x99472),x99473),x99474),f327(f327(f8(x99475,x99472),x99476),x99477)) % 153.71/153.55 [9352]~E(f327(f177(f835(x93522)),x93525),f327(f177(f835(x93521)),x93523))+~E(f327(f177(f835(x93522)),x93524),f327(f177(f835(x93521)),x93523))+~E(f327(f327(f327(f76(x93521,f838(x93522)),f162(x93521,x93522,f327(f327(f163(x93521,x93522),x93523),x93524))),x93526),f327(f222(x93522),x93527)),f327(f327(f327(f76(x93521,f838(x93522)),f162(x93521,x93522,f327(f327(f163(x93521,x93522),x93523),x93525))),x93526),f327(f222(x93522),x93528)))+E(f162(x93521,x93522,f327(f327(f163(x93521,x93522),x93523),x93524)),f162(x93521,x93522,f327(f327(f163(x93521,x93522),x93523),x93525)))+P134(f327(f327(f329(x93521),x93526),f327(f154(x93521),x93523))) % 153.71/153.55 [9448]~P27(x94486,x94482,x94485,x94487,x94488,x94481)+~P134(f327(f66(x94482),x94484))+~P134(f327(f66(x94482),x94483))+~E(f327(f327(f101(f841(x94482,a831)),x94483),x94484),f176(f841(x94482,a831)))+E(f327(x94481,f327(f327(f100(f841(x94482,a831)),x94483),x94484)),f327(f327(x94485,f327(x94481,x94483)),f327(x94481,x94484))) % 153.71/153.55 [9838]~P27(x98388,x98382,x98385,x98387,x98386,x98381)+~E(f327(x98386,f556(x98384,x98383,x98381,x98386,x98387,x98385,x98382)),x98387)+~P134(f327(f66(x98382),x98383))+~P134(f327(f66(x98382),x98384))+E(f327(x98381,f327(f327(f100(f841(x98382,a831)),x98383),x98384)),f327(f327(x98385,f327(x98381,x98383)),f327(x98381,x98384))) % 153.71/153.55 [9896]~P27(x98968,x98962,x98965,x98967,x98966,x98961)+~P134(f327(f66(x98962),x98963))+~P134(f327(f66(x98962),x98964))+E(f327(x98961,f327(f327(f100(f841(x98962,a831)),x98963),x98964)),f327(f327(x98965,f327(x98961,x98963)),f327(x98961,x98964)))+P134(f327(f327(f329(x98962),f556(x98964,x98963,x98961,x98966,x98967,x98965,x98962)),f327(f327(f101(f841(x98962,a831)),x98963),x98964))) % 153.71/153.55 [9592]~P12(x95924,x95928,x95925)+~P12(x95921,x95929,x95923)+~P17(x95921,x95924,f841(x95922,a831),x95923,x95925,x95927)+P16(x95921,f841(x95922,a831),x95923,f327(f327(f10(f841(x95924,f841(x95922,a831)),f841(x95922,a831),x95921),f327(f47(x95924,f841(x95922,a831)),f327(f272(x95924,x95924,x95925),f327(f327(f297(x95924),x95926),f176(f841(x95924,a831)))))),x95927))+~P134(f327(f327(f329(x95924),x95926),x95928)) % 153.71/153.55 [4884]~P118(x48842)+~P119(x48842)+~P136(x48842)+~P102(x48842)+E(x48841,f2(x48842))+~E(f327(f327(f237(x48842),x48841),x48843),f2(x48842)) % 153.71/153.55 [4885]~P118(x48852)+~P119(x48852)+~P136(x48852)+~P102(x48852)+~E(x48851,f2(a834))+~E(f327(f327(f237(x48852),x48853),x48851),f2(x48852)) % 153.71/153.55 [6353]~P78(x63531)+~E(x63533,f2(x63531))+~E(x63532,f2(x63531))+E(f327(f327(f84(x63531),x63532),x63533),f2(x63531))+~P134(f327(f327(f227(x63531),f2(x63531)),x63533))+~P134(f327(f327(f227(x63531),f2(x63531)),x63532)) % 153.71/153.55 [8710]~E(f327(f235(a834,a834),x87103),f2(a834))+~E(x87101,f327(f327(f84(a834),f327(f327(f85(a834),f327(f235(a834,a834),x87103)),x87102)),f327(f245(a834,a834),x87103)))+P134(f327(f56(x87101,x87102),x87103))+~P134(f327(f327(f227(a834),f327(f245(a834,a834),x87103)),f2(a834)))+P134(f327(f327(f228(a834),f2(a834)),x87102))+~P134(f327(f327(f228(a834),x87102),f327(f245(a834,a834),x87103))) % 153.71/153.55 [8717]E(x87171,f2(a834))+~E(x87172,f327(f327(f84(a834),f327(f327(f85(a834),f327(f235(a834,a834),x87173)),x87171)),f327(f245(a834,a834),x87173)))+P134(f327(f56(x87172,x87171),x87173))+~P134(f327(f327(f228(a834),f2(a834)),x87171))+~P134(f327(f327(f227(a834),f2(a834)),f327(f245(a834,a834),x87173)))+~P134(f327(f327(f228(a834),f327(f245(a834,a834),x87173)),x87171)) % 153.71/153.55 [8731]~E(f327(f235(a834,a834),x87313),f2(a834))+~E(x87311,f327(f327(f84(a834),f327(f327(f85(a834),f327(f235(a834,a834),x87313)),x87312)),f327(f245(a834,a834),x87313)))+P134(f327(f56(x87311,x87312),x87313))+~P134(f327(f327(f228(a834),f2(a834)),x87312))+~P134(f327(f327(f227(a834),f2(a834)),f327(f245(a834,a834),x87313)))+~P134(f327(f327(f228(a834),f327(f245(a834,a834),x87313)),x87312)) % 153.71/153.55 [6747]~P89(x67472)+E(x67471,f176(f841(x67472,a831)))+E(x67473,f176(f841(x67472,a831)))+~P134(f327(f66(x67472),x67471))+~P134(f327(f66(x67472),x67473))+E(f15(x67472,f327(f327(f100(f841(x67472,a831)),x67473),x67471)),f327(f327(f100(x67472),f15(x67472,x67473)),f15(x67472,x67471))) % 153.71/153.55 [6748]~P97(x67482)+E(x67481,f176(f841(x67482,a831)))+E(x67483,f176(f841(x67482,a831)))+~P134(f327(f66(x67482),x67481))+~P134(f327(f66(x67482),x67483))+E(f16(x67482,f327(f327(f100(f841(x67482,a831)),x67483),x67481)),f327(f327(f175(x67482),f16(x67482,x67483)),f16(x67482,x67481))) % 153.71/153.55 [6749]~P97(x67492)+E(x67491,f176(f841(x67492,a831)))+E(x67493,f176(f841(x67492,a831)))+~P134(f327(f66(x67492),x67491))+~P134(f327(f66(x67492),x67493))+E(f17(x67492,f327(f327(f100(f841(x67492,a831)),x67493),x67491)),f327(f327(f231(x67492),f17(x67492,x67493)),f17(x67492,x67491))) % 153.71/153.55 [6750]~P89(x67502)+E(x67501,f176(f841(x67502,a831)))+E(x67503,f176(f841(x67502,a831)))+~P134(f327(f66(x67502),x67501))+~P134(f327(f66(x67502),x67503))+E(f12(x67502,f327(f327(f100(f841(x67502,a831)),x67503),x67501)),f327(f327(f101(x67502),f12(x67502,x67503)),f12(x67502,x67501))) % 153.71/153.55 [7415]~P88(x74152)+E(x74151,f176(f841(x74152,a831)))+E(x74153,f176(f841(x74152,a831)))+~P134(f327(f66(x74152),x74151))+~P134(f327(f66(x74152),x74153))+E(f327(f327(f85(x74152),f327(f68(x74152,f85(x74152)),x74153)),f327(f68(x74152,f85(x74152)),x74151)),f327(f68(x74152,f85(x74152)),f327(f327(f100(f841(x74152,a831)),x74153),x74151))) % 153.71/153.55 [7580]~P97(x75802)+E(x75801,f176(f841(x75802,a831)))+E(x75803,f176(f841(x75802,a831)))+~P134(f327(f66(x75802),x75801))+~P134(f327(f66(x75802),x75803))+E(f327(f327(f175(x75802),f13(x75802,f175(x75802),x75803)),f13(x75802,f175(x75802),x75801)),f13(x75802,f175(x75802),f327(f327(f100(f841(x75802,a831)),x75803),x75801))) % 153.71/153.55 [7581]~P97(x75812)+E(x75811,f176(f841(x75812,a831)))+E(x75813,f176(f841(x75812,a831)))+~P134(f327(f66(x75812),x75811))+~P134(f327(f66(x75812),x75813))+E(f327(f327(f231(x75812),f14(x75812,f231(x75812),x75813)),f14(x75812,f231(x75812),x75811)),f14(x75812,f231(x75812),f327(f327(f100(f841(x75812,a831)),x75813),x75811))) % 153.71/153.55 [8566]~P134(f327(x85661,x85663))+P134(f327(x85661,f349(x85661,x85662)))+P134(f327(x85661,f338(x85661,x85662)))+~P134(f327(f327(f228(a1),f2(a1)),x85662))+~P134(f327(f327(f329(a1),x85663),f290(a1,f82(a1),x85662)))+P134(f327(x85661,f327(f327(f3(a1),f338(x85661,x85662)),f327(f327(f85(a1),f344(x85661,x85662)),x85662)))) % 153.71/153.55 [8825]~P134(f327(x88251,x88253))+~P134(f327(x88251,f338(x88251,x88252)))+P134(f327(x88251,f349(x88251,x88252)))+~P134(f327(f327(f228(a1),f2(a1)),x88252))+~P134(f327(f327(f329(a1),x88253),f290(a1,f82(a1),x88252)))+~P134(f327(x88251,f327(f327(f3(a1),f338(x88251,x88252)),f327(f327(f85(a1),f344(x88251,x88252)),x88252)))) % 153.71/153.55 [9965]~P93(x99652)+E(x99651,f176(f841(x99652,a831)))+E(x99653,f176(f841(x99652,a831)))+~P134(f327(f66(x99652),x99651))+~P134(f327(f66(x99652),x99653))+E(f12(x99652,f327(f251(x99652),f327(f327(f10(f841(x99652,a831),a831,x99652),f91(x99652)),f327(f327(f10(f841(x99652,f841(x99652,a831)),f841(x99652,a831),x99652),f327(f10(f841(x99652,a831),a831,x99652),f91(x99652))),f327(f327(f9(x99652,f841(x99652,f841(x99652,a831)),f841(x99652,f841(x99652,a831))),f327(f327(f10(f841(x99652,f841(f841(x99652,a831),f841(x99652,a831))),f841(f841(x99652,f841(x99652,a831)),f841(x99652,f841(x99652,a831))),x99652),f20(x99652,f841(x99652,a831),f841(x99652,a831))),f327(f327(f10(f841(x99652,f841(x99652,f841(a831,a831))),f841(x99652,f841(f841(x99652,a831),f841(x99652,a831))),x99652),f327(f10(f841(x99652,f841(a831,a831)),f841(f841(x99652,a831),f841(x99652,a831)),x99652),f20(x99652,a831,a831))),f327(f327(f10(f841(x99652,f841(x99652,a831)),f841(x99652,f841(x99652,f841(a831,a831))),x99652),f327(f10(f841(x99652,a831),f841(x99652,f841(a831,a831)),x99652),f327(f10(a831,f841(a831,a831),x99652),a325))),f327(f327(f9(x99652,f841(x99652,f841(x99652,x99652)),f841(x99652,f841(x99652,a831))),f327(f327(f10(f841(f841(x99652,x99652),f841(x99652,a831)),f841(f841(x99652,f841(x99652,x99652)),f841(x99652,f841(x99652,a831))),x99652),f10(f841(x99652,x99652),f841(x99652,a831),x99652)),f327(f327(f10(f841(x99652,a831),f841(f841(x99652,x99652),f841(x99652,a831)),x99652),f10(x99652,a831,x99652)),a324))),f100(x99652)))))),f327(f327(f9(x99652,f841(x99652,a831),f841(x99652,a831)),f327(f327(f10(f841(a831,a831),f841(f841(x99652,a831),f841(x99652,a831)),x99652),f10(a831,a831,x99652)),f327(f327(f10(a831,f841(a831,a831),x99652),a325),f327(f327(f9(x99652,f841(x99652,a831),a831),f329(x99652)),x99653)))),f327(f327(f9(x99652,f841(x99652,a831),a831),f329(x99652)),x99651))))))),f327(f327(f100(x99652),f12(x99652,x99653)),f12(x99652,x99651))) % 153.71/153.55 [9966]~P93(x99662)+E(x99661,f176(f841(x99662,a831)))+E(x99663,f176(f841(x99662,a831)))+~P134(f327(f66(x99662),x99661))+~P134(f327(f66(x99662),x99663))+E(f15(x99662,f327(f251(x99662),f327(f327(f10(f841(x99662,a831),a831,x99662),f91(x99662)),f327(f327(f10(f841(x99662,f841(x99662,a831)),f841(x99662,a831),x99662),f327(f10(f841(x99662,a831),a831,x99662),f91(x99662))),f327(f327(f9(x99662,f841(x99662,f841(x99662,a831)),f841(x99662,f841(x99662,a831))),f327(f327(f10(f841(x99662,f841(f841(x99662,a831),f841(x99662,a831))),f841(f841(x99662,f841(x99662,a831)),f841(x99662,f841(x99662,a831))),x99662),f20(x99662,f841(x99662,a831),f841(x99662,a831))),f327(f327(f10(f841(x99662,f841(x99662,f841(a831,a831))),f841(x99662,f841(f841(x99662,a831),f841(x99662,a831))),x99662),f327(f10(f841(x99662,f841(a831,a831)),f841(f841(x99662,a831),f841(x99662,a831)),x99662),f20(x99662,a831,a831))),f327(f327(f10(f841(x99662,f841(x99662,a831)),f841(x99662,f841(x99662,f841(a831,a831))),x99662),f327(f10(f841(x99662,a831),f841(x99662,f841(a831,a831)),x99662),f327(f10(a831,f841(a831,a831),x99662),a325))),f327(f327(f9(x99662,f841(x99662,f841(x99662,x99662)),f841(x99662,f841(x99662,a831))),f327(f327(f10(f841(f841(x99662,x99662),f841(x99662,a831)),f841(f841(x99662,f841(x99662,x99662)),f841(x99662,f841(x99662,a831))),x99662),f10(f841(x99662,x99662),f841(x99662,a831),x99662)),f327(f327(f10(f841(x99662,a831),f841(f841(x99662,x99662),f841(x99662,a831)),x99662),f10(x99662,a831,x99662)),a324))),f101(x99662)))))),f327(f327(f9(x99662,f841(x99662,a831),f841(x99662,a831)),f327(f327(f10(f841(a831,a831),f841(f841(x99662,a831),f841(x99662,a831)),x99662),f10(a831,a831,x99662)),f327(f327(f10(a831,f841(a831,a831),x99662),a325),f327(f327(f9(x99662,f841(x99662,a831),a831),f329(x99662)),x99663)))),f327(f327(f9(x99662,f841(x99662,a831),a831),f329(x99662)),x99661))))))),f327(f327(f101(x99662),f15(x99662,x99663)),f15(x99662,x99661))) % 153.71/153.55 [9967]~P97(x99672)+E(x99671,f176(f841(x99672,a831)))+E(x99673,f176(f841(x99672,a831)))+~P134(f327(f66(x99672),x99671))+~P134(f327(f66(x99672),x99673))+E(f13(x99672,f175(x99672),f327(f251(x99672),f327(f327(f10(f841(x99672,a831),a831,x99672),f91(x99672)),f327(f327(f10(f841(x99672,f841(x99672,a831)),f841(x99672,a831),x99672),f327(f10(f841(x99672,a831),a831,x99672),f91(x99672))),f327(f327(f9(x99672,f841(x99672,f841(x99672,a831)),f841(x99672,f841(x99672,a831))),f327(f327(f10(f841(x99672,f841(f841(x99672,a831),f841(x99672,a831))),f841(f841(x99672,f841(x99672,a831)),f841(x99672,f841(x99672,a831))),x99672),f20(x99672,f841(x99672,a831),f841(x99672,a831))),f327(f327(f10(f841(x99672,f841(x99672,f841(a831,a831))),f841(x99672,f841(f841(x99672,a831),f841(x99672,a831))),x99672),f327(f10(f841(x99672,f841(a831,a831)),f841(f841(x99672,a831),f841(x99672,a831)),x99672),f20(x99672,a831,a831))),f327(f327(f10(f841(x99672,f841(x99672,a831)),f841(x99672,f841(x99672,f841(a831,a831))),x99672),f327(f10(f841(x99672,a831),f841(x99672,f841(a831,a831)),x99672),f327(f10(a831,f841(a831,a831),x99672),a325))),f327(f327(f9(x99672,f841(x99672,f841(x99672,x99672)),f841(x99672,f841(x99672,a831))),f327(f327(f10(f841(f841(x99672,x99672),f841(x99672,a831)),f841(f841(x99672,f841(x99672,x99672)),f841(x99672,f841(x99672,a831))),x99672),f10(f841(x99672,x99672),f841(x99672,a831),x99672)),f327(f327(f10(f841(x99672,a831),f841(f841(x99672,x99672),f841(x99672,a831)),x99672),f10(x99672,a831,x99672)),a324))),f231(x99672)))))),f327(f327(f9(x99672,f841(x99672,a831),f841(x99672,a831)),f327(f327(f10(f841(a831,a831),f841(f841(x99672,a831),f841(x99672,a831)),x99672),f10(a831,a831,x99672)),f327(f327(f10(a831,f841(a831,a831),x99672),a325),f327(f327(f9(x99672,f841(x99672,a831),a831),f329(x99672)),x99673)))),f327(f327(f9(x99672,f841(x99672,a831),a831),f329(x99672)),x99671))))))),f327(f327(f231(x99672),f13(x99672,f175(x99672),x99673)),f13(x99672,f175(x99672),x99671))) % 153.71/153.55 [9968]~P97(x99682)+E(x99681,f176(f841(x99682,a831)))+E(x99683,f176(f841(x99682,a831)))+~P134(f327(f66(x99682),x99681))+~P134(f327(f66(x99682),x99683))+E(f14(x99682,f231(x99682),f327(f251(x99682),f327(f327(f10(f841(x99682,a831),a831,x99682),f91(x99682)),f327(f327(f10(f841(x99682,f841(x99682,a831)),f841(x99682,a831),x99682),f327(f10(f841(x99682,a831),a831,x99682),f91(x99682))),f327(f327(f9(x99682,f841(x99682,f841(x99682,a831)),f841(x99682,f841(x99682,a831))),f327(f327(f10(f841(x99682,f841(f841(x99682,a831),f841(x99682,a831))),f841(f841(x99682,f841(x99682,a831)),f841(x99682,f841(x99682,a831))),x99682),f20(x99682,f841(x99682,a831),f841(x99682,a831))),f327(f327(f10(f841(x99682,f841(x99682,f841(a831,a831))),f841(x99682,f841(f841(x99682,a831),f841(x99682,a831))),x99682),f327(f10(f841(x99682,f841(a831,a831)),f841(f841(x99682,a831),f841(x99682,a831)),x99682),f20(x99682,a831,a831))),f327(f327(f10(f841(x99682,f841(x99682,a831)),f841(x99682,f841(x99682,f841(a831,a831))),x99682),f327(f10(f841(x99682,a831),f841(x99682,f841(a831,a831)),x99682),f327(f10(a831,f841(a831,a831),x99682),a325))),f327(f327(f9(x99682,f841(x99682,f841(x99682,x99682)),f841(x99682,f841(x99682,a831))),f327(f327(f10(f841(f841(x99682,x99682),f841(x99682,a831)),f841(f841(x99682,f841(x99682,x99682)),f841(x99682,f841(x99682,a831))),x99682),f10(f841(x99682,x99682),f841(x99682,a831),x99682)),f327(f327(f10(f841(x99682,a831),f841(f841(x99682,x99682),f841(x99682,a831)),x99682),f10(x99682,a831,x99682)),a324))),f175(x99682)))))),f327(f327(f9(x99682,f841(x99682,a831),f841(x99682,a831)),f327(f327(f10(f841(a831,a831),f841(f841(x99682,a831),f841(x99682,a831)),x99682),f10(a831,a831,x99682)),f327(f327(f10(a831,f841(a831,a831),x99682),a325),f327(f327(f9(x99682,f841(x99682,a831),a831),f329(x99682)),x99683)))),f327(f327(f9(x99682,f841(x99682,a831),a831),f329(x99682)),x99681))))))),f327(f327(f175(x99682),f14(x99682,f231(x99682),x99683)),f14(x99682,f231(x99682),x99681))) % 153.71/153.55 [7084]~P114(x70843)+E(x70841,x70842)+~E(f327(f327(f237(x70843),x70841),x70844),f327(f327(f237(x70843),x70842),x70844))+~P134(f327(f327(f227(x70843),f2(x70843)),x70842))+~P134(f327(f327(f227(x70843),f2(x70843)),x70841))+~P134(f327(f327(f228(a834),f2(a834)),x70844)) % 153.71/153.55 [7377]~P97(x73772)+E(x73771,f176(f841(x73772,a831)))+~P134(f327(f66(x73772),x73771))+~P134(f327(f327(f329(x73772),x73774),x73771))+P134(f327(f327(f228(x73772),x73773),x73774))+~P134(f327(f327(f228(x73772),x73773),f327(f68(x73772,f231(x73772)),x73771))) % 153.71/153.55 [7378]~P97(x73782)+E(x73781,f176(f841(x73782,a831)))+~P134(f327(f66(x73782),x73781))+~P134(f327(f327(f329(x73782),x73784),x73781))+P134(f327(f327(f227(x73782),x73783),x73784))+~P134(f327(f327(f227(x73782),x73783),f327(f68(x73782,f231(x73782)),x73781))) % 153.71/153.55 [7379]~P95(x73792)+E(x73791,f176(f841(x73792,a831)))+~P134(f327(f66(x73792),x73791))+~P134(f327(f327(f329(x73792),x73794),x73791))+P134(f327(f327(f227(x73792),x73793),x73794))+~P134(f327(f327(f227(x73792),x73793),f327(f68(x73792,f101(x73792)),x73791))) % 153.71/153.55 [7275]E(x72751,f2(a1))+E(f327(f327(f44(a1),x72752),x72751),x72753)+~P134(f327(f327(f227(a1),x72754),f2(a1)))+~E(x72752,f327(f327(f84(a1),f327(f327(f85(a1),x72751),x72753)),x72754))+P134(f327(f327(f228(a1),f2(a1)),x72751))+~P134(f327(f327(f228(a1),x72751),x72754)) % 153.71/153.55 [7291]E(f53(a1,x72912,x72911),x72913)+E(x72911,f2(a1))+~P134(f327(f327(f227(a1),x72913),f2(a1)))+~E(x72912,f327(f327(f84(a1),f327(f327(f85(a1),x72911),x72914)),x72913))+P134(f327(f327(f228(a1),f2(a1)),x72911))+~P134(f327(f327(f228(a1),x72911),x72913)) % 153.71/153.55 [7414]E(x74141,f2(a1))+E(f327(f327(f44(a1),x74142),x74141),x74143)+~E(x74142,f327(f327(f84(a1),f327(f327(f85(a1),x74141),x74143)),x74144))+~P134(f327(f327(f228(a1),f2(a1)),x74141))+~P134(f327(f327(f227(a1),f2(a1)),x74144))+~P134(f327(f327(f228(a1),x74144),x74141)) % 153.71/153.55 [7439]E(f53(a1,x74392,x74391),x74393)+E(x74391,f2(a1))+~E(x74392,f327(f327(f84(a1),f327(f327(f85(a1),x74391),x74394)),x74393))+~P134(f327(f327(f228(a1),f2(a1)),x74391))+~P134(f327(f327(f227(a1),f2(a1)),x74393))+~P134(f327(f327(f228(a1),x74393),x74391)) % 153.71/153.55 [7584]~P97(x75842)+E(x75841,f176(f841(x75842,a831)))+~P134(f327(f66(x75842),x75841))+~P134(f327(f327(f329(x75842),x75844),x75841))+~P134(f327(f327(f228(x75842),x75844),x75843))+P134(f327(f327(f228(x75842),f327(f68(x75842,f231(x75842)),x75841)),x75843)) % 153.71/153.55 [7585]~P97(x75852)+E(x75851,f176(f841(x75852,a831)))+~P134(f327(f66(x75852),x75851))+~P134(f327(f327(f329(x75852),x75854),x75851))+~P134(f327(f327(f227(x75852),x75854),x75853))+P134(f327(f327(f227(x75852),f327(f68(x75852,f231(x75852)),x75851)),x75853)) % 153.71/153.55 [8139]~P134(f327(f327(f227(a1),x81394),f2(a1)))+~E(x81391,f327(f327(f84(a1),f327(f327(f85(a1),x81392),x81393)),x81394))+~P134(f327(f327(f227(a1),f2(a1)),x81394))+~P134(f327(f327(f228(a1),x81394),x81392))+~P134(f327(f327(f228(a1),x81392),x81394))+P134(f327(f57(x81391,x81392),f327(f327(f236(a1,a1),x81393),x81394))) % 153.71/153.55 [8301]~P96(x83011)+P134(f327(f327(f228(f841(x83011,a831)),f290(x83011,x83012,x83013)),f290(x83011,x83014,x83015)))+~P134(f327(f327(f228(x83011),x83013),x83015))+~P134(f327(f327(f227(x83011),x83014),x83012))+~P134(f327(f327(f227(x83011),x83014),x83015))+~P134(f327(f327(f227(x83011),x83013),x83015)) % 153.71/153.55 [8302]~P96(x83021)+P134(f327(f327(f228(f841(x83021,a831)),f290(x83021,x83022,x83023)),f290(x83021,x83024,x83025)))+~P134(f327(f327(f228(x83021),x83024),x83022))+~P134(f327(f327(f227(x83021),x83023),x83025))+~P134(f327(f327(f227(x83021),x83024),x83025))+~P134(f327(f327(f227(x83021),x83024),x83022)) % 153.71/153.55 [9068]P55(x90682,x90683,x90684,x90681)+E(x90681,f176(f841(x90682,a831)))+~P134(f327(f66(x90682),x90684))+~P134(f327(f66(x90682),x90681))+~P134(f327(f327(x90683,f518(x90681,x90684,x90683,x90682)),x90685))+~P134(f327(f327(f329(x90682),x90685),x90681)) % 153.71/153.55 [9195]~E(x91953,x91955)+~P65(x91951)+~P68(x91951)+~P35(x91953)+E(f327(f327(f8(a1,x91951),x91952),x91953),f327(f327(f8(a1,x91951),x91954),x91955))+P134(f327(f327(f227(a1),f2(a1)),f366(x91952,x91954,x91953,x91955,x91951))) % 153.71/153.55 [9196]~E(x91963,x91965)+~P65(x91961)+~P68(x91961)+~P35(x91963)+E(f327(f327(f11(a1,x91961),x91962),x91963),f327(f327(f11(a1,x91961),x91964),x91965))+P134(f327(f327(f227(a1),f2(a1)),f513(x91962,x91964,x91963,x91965,x91961))) % 153.71/153.55 [9359]~E(x93595,x93593)+~P65(x93591)+~P68(x93591)+~P35(x93595)+~E(f327(x93592,f366(x93594,x93592,x93595,x93593,x93591)),f327(x93594,f366(x93594,x93592,x93595,x93593,x93591)))+E(f327(f327(f8(a1,x93591),x93592),x93593),f327(f327(f8(a1,x93591),x93594),x93595)) % 153.71/153.55 [9360]~E(x93605,x93603)+~P65(x93601)+~P68(x93601)+~P35(x93605)+~E(f327(x93602,f513(x93604,x93602,x93605,x93603,x93601)),f327(x93604,f513(x93604,x93602,x93605,x93603,x93601)))+E(f327(f327(f11(a1,x93601),x93602),x93603),f327(f327(f11(a1,x93601),x93604),x93605)) % 153.71/153.55 [9445]~P74(x94453)+E(f327(x94451,x94452),f2(x94453))+~E(f327(f327(f8(x94454,x94453),x94451),x94455),f2(x94453))+~P134(f327(f66(x94454),x94455))+P134(f327(f327(f329(x94454),f452(x94452,x94451,x94455,x94454,x94453)),x94455))+~P134(f327(f327(f329(x94454),x94452),x94455)) % 153.71/153.55 [9568]~P74(x95683)+E(f327(x95681,x95682),f2(x95683))+~E(f327(f327(f8(x95684,x95683),x95681),x95685),f2(x95683))+~P134(f327(f66(x95684),x95685))+~P134(f327(f327(f329(x95684),x95682),x95685))+~P134(f327(f327(f227(x95683),f2(x95683)),f327(x95681,f452(x95682,x95681,x95685,x95684,x95683)))) % 153.71/153.55 [8218]~P120(x82181)+~P134(f327(f327(f227(x82181),f2(x82181)),x82183))+~P134(f327(f327(f228(x82181),x82183),x82185))+~P134(f327(f327(f228(x82181),x82182),x82184))+~P134(f327(f327(f228(x82181),f2(x82181)),x82184))+P134(f327(f327(f228(x82181),f327(f327(f85(x82181),x82182),x82183)),f327(f327(f85(x82181),x82184),x82185))) % 153.71/153.55 [8219]~P120(x82191)+~P134(f327(f327(f227(x82191),f2(x82191)),x82193))+~P134(f327(f327(f227(x82191),f2(x82191)),x82192))+~P134(f327(f327(f228(x82191),x82193),x82195))+~P134(f327(f327(f228(x82191),x82192),x82194))+P134(f327(f327(f228(x82191),f327(f327(f85(x82191),x82192),x82193)),f327(f327(f85(x82191),x82194),x82195))) % 153.71/153.55 [8220]~P120(x82201)+~P134(f327(f327(f227(x82201),x82202),x82204))+~P134(f327(f327(f227(x82201),f2(x82201)),x82203))+~P134(f327(f327(f228(x82201),x82203),x82205))+~P134(f327(f327(f228(x82201),f2(x82201)),x82202))+P134(f327(f327(f228(x82201),f327(f327(f85(x82201),x82202),x82203)),f327(f327(f85(x82201),x82204),x82205))) % 153.71/153.55 [8221]~P120(x82211)+~P134(f327(f327(f227(x82211),x82213),x82215))+~P134(f327(f327(f227(x82211),f2(x82211)),x82212))+~P134(f327(f327(f228(x82211),x82212),x82214))+~P134(f327(f327(f228(x82211),f2(x82211)),x82213))+P134(f327(f327(f228(x82211),f327(f327(f85(x82211),x82212),x82213)),f327(f327(f85(x82211),x82214),x82215))) % 153.71/153.55 [8222]~P61(x82221)+~P134(f327(f327(f227(x82221),x82222),x82224))+~P134(f327(f327(f228(x82221),x82225),x82223))+~P134(f327(f327(f228(x82221),f2(x82221)),x82225))+~P134(f327(f327(f228(x82221),f2(x82221)),x82222))+P134(f327(f327(f228(x82221),f327(f327(f278(x82221),x82222),x82223)),f327(f327(f278(x82221),x82224),x82225))) % 153.71/153.55 [8223]~P61(x82231)+~P134(f327(f327(f227(x82231),x82235),x82233))+~P134(f327(f327(f227(x82231),f2(x82231)),x82232))+~P134(f327(f327(f228(x82231),x82232),x82234))+~P134(f327(f327(f228(x82231),f2(x82231)),x82235))+P134(f327(f327(f228(x82231),f327(f327(f278(x82231),x82232),x82233)),f327(f327(f278(x82231),x82234),x82235))) % 153.71/153.55 [8224]~P127(x82241)+~P134(f327(f327(f227(x82241),x82243),x82245))+~P134(f327(f327(f227(x82241),x82242),x82244))+~P134(f327(f327(f227(x82241),f2(x82241)),x82243))+~P134(f327(f327(f227(x82241),f2(x82241)),x82244))+P134(f327(f327(f227(x82241),f327(f327(f85(x82241),x82242),x82243)),f327(f327(f85(x82241),x82244),x82245))) % 153.71/153.55 [8225]~P127(x82251)+~P134(f327(f327(f227(x82251),x82253),x82255))+~P134(f327(f327(f227(x82251),x82252),x82254))+~P134(f327(f327(f227(x82251),f2(x82251)),x82253))+~P134(f327(f327(f227(x82251),f2(x82251)),x82252))+P134(f327(f327(f227(x82251),f327(f327(f85(x82251),x82252),x82253)),f327(f327(f85(x82251),x82254),x82255))) % 153.71/153.55 [8226]~P61(x82261)+~P134(f327(f327(f228(x82261),f2(x82261)),x82265))+~P134(f327(f327(f227(x82261),x82265),x82263))+~P134(f327(f327(f227(x82261),x82262),x82264))+~P134(f327(f327(f227(x82261),f2(x82261)),x82262))+P134(f327(f327(f227(x82261),f327(f327(f278(x82261),x82262),x82263)),f327(f327(f278(x82261),x82264),x82265))) % 153.71/153.55 [9483]~P65(x94835)+~P77(x94835)+E(x94831,f176(f841(x94832,a831)))+~P134(f327(f66(x94832),x94831))+P134(f327(f327(f329(x94832),f474(x94833,x94834,x94831,x94832,x94835)),x94831))+P134(f327(f327(f228(x94835),f327(f327(f8(x94832,x94835),x94834),x94831)),f327(f327(f8(x94832,x94835),x94833),x94831))) % 153.71/153.55 [9588]~P65(x95881)+~P75(x95881)+~P134(f327(f66(x95882),x95885))+~P134(f327(f327(f227(x95881),f2(x95881)),f327(x95883,f403(x95883,x95884,x95885,x95882,x95881))))+P134(f327(f327(f227(x95881),f327(f327(f8(x95882,x95881),x95883),x95884)),f327(f327(f8(x95882,x95881),x95883),x95885)))+~P134(f327(f327(f227(f841(x95882,a831)),x95884),x95885)) % 153.71/153.55 [9754]~P65(x97543)+~P77(x97543)+E(x97541,f176(f841(x97542,a831)))+~P134(f327(f66(x97542),x97541))+~P134(f327(f327(f228(x97543),f327(x97544,f474(x97545,x97544,x97541,x97542,x97543))),f327(x97545,f474(x97545,x97544,x97541,x97542,x97543))))+P134(f327(f327(f228(x97543),f327(f327(f8(x97542,x97543),x97544),x97541)),f327(f327(f8(x97542,x97543),x97545),x97541))) % 153.71/153.55 [6940]~P21(x69402,x69405,x69404)+E(x69401,f176(f841(x69402,a831)))+E(x69403,f176(f841(x69402,a831)))+~P134(f327(f66(x69402),x69401))+~P134(f327(f66(x69402),x69403))+E(f327(x69404,f327(f327(f100(f841(x69402,a831)),x69403),x69401)),f327(f327(x69405,f327(x69404,x69403)),f327(x69404,x69401))) % 153.71/153.55 [7549]~P139(x75491,x75494,x75493)+P134(f327(x75491,x75492))+~P134(f327(f327(f228(a1),x75494),f2(a1)))+~P134(f327(f327(f227(a1),x75495),f2(a1)))+~E(x75493,f327(f327(f84(a1),f327(f327(f85(a1),x75494),x75492)),x75495))+~P134(f327(f327(f228(a1),x75494),x75495)) % 153.71/153.55 [7550]~P138(x75501,x75504,x75503)+P134(f327(x75501,x75502))+~P134(f327(f327(f228(a1),x75504),f2(a1)))+~P134(f327(f327(f227(a1),x75502),f2(a1)))+~E(x75503,f327(f327(f84(a1),f327(f327(f85(a1),x75504),x75505)),x75502))+~P134(f327(f327(f228(a1),x75504),x75502)) % 153.71/153.55 [7593]~P139(x75931,x75934,x75933)+P134(f327(x75931,x75932))+~E(x75933,f327(f327(f84(a1),f327(f327(f85(a1),x75934),x75932)),x75935))+~P134(f327(f327(f228(a1),f2(a1)),x75934))+~P134(f327(f327(f227(a1),f2(a1)),x75935))+~P134(f327(f327(f228(a1),x75935),x75934)) % 153.71/153.55 [7594]~P138(x75941,x75944,x75943)+P134(f327(x75941,x75942))+~E(x75943,f327(f327(f84(a1),f327(f327(f85(a1),x75944),x75945)),x75942))+~P134(f327(f327(f228(a1),f2(a1)),x75944))+~P134(f327(f327(f227(a1),f2(a1)),x75942))+~P134(f327(f327(f228(a1),x75942),x75944)) % 153.71/153.55 [8496]P134(f327(f327(x84961,x84962),x84963))+~P134(f327(f327(x84961,f327(f327(f44(a1),x84964),x84965)),f53(a1,x84964,x84965)))+~P134(f327(f327(f228(a1),x84965),f2(a1)))+~P134(f327(f327(f227(a1),x84963),f2(a1)))+~E(x84964,f327(f327(f84(a1),f327(f327(f85(a1),x84965),x84962)),x84963))+~P134(f327(f327(f228(a1),x84965),x84963)) % 153.71/153.55 [8503]P134(f327(f327(x85031,x85032),x85033))+~P134(f327(f327(x85031,f327(f327(f44(a1),x85034),x85035)),f53(a1,x85034,x85035)))+~E(x85034,f327(f327(f84(a1),f327(f327(f85(a1),x85035),x85032)),x85033))+~P134(f327(f327(f228(a1),f2(a1)),x85035))+~P134(f327(f327(f227(a1),f2(a1)),x85033))+~P134(f327(f327(f228(a1),x85033),x85035)) % 153.71/153.55 [8723]E(x87231,x87232)+~P52(x87233,x87235,x87234)+~P134(f327(f327(f329(x87233),x87232),x87235))+~P134(f327(f327(f329(x87233),x87231),x87235))+P134(f327(f327(f329(f840(x87233,x87233)),f327(f327(f236(x87233,x87233),x87231),x87232)),x87234))+P134(f327(f327(f329(f840(x87233,x87233)),f327(f327(f236(x87233,x87233),x87232),x87231)),x87234)) % 153.71/153.55 [9513]~P65(x95135)+~P75(x95135)+~P134(f327(f66(x95131),x95134))+P134(f327(f327(f227(x95135),f327(f327(f8(x95131,x95135),x95132),x95133)),f327(f327(f8(x95131,x95135),x95132),x95134)))+~P134(f327(f327(f227(f841(x95131,a831)),x95133),x95134))+P134(f327(f327(f329(x95131),f403(x95132,x95133,x95134,x95131,x95135)),f327(f327(f3(f841(x95131,a831)),x95134),x95133))) % 153.71/153.55 [9595]E(x95951,f176(f841(x95952,a831)))+~P134(f327(f66(x95952),x95953))+~P134(f327(f66(x95952),x95951))+P134(f327(f327(f329(f840(f841(x95952,a831),f841(x95952,a831))),f327(f327(f236(f841(x95952,a831),f841(x95952,a831)),x95953),x95951)),f320(x95952,x95954)))+~P134(f327(f327(f329(x95952),x95955),x95951))+~P134(f327(f327(f329(f840(x95952,x95952)),f327(f327(f236(x95952,x95952),f520(x95954,x95951,x95953,x95952)),x95955)),x95954)) % 153.71/153.55 [9596]E(x95961,f176(f841(x95962,a831)))+~P134(f327(f66(x95962),x95963))+~P134(f327(f66(x95962),x95961))+P134(f327(f327(f329(f840(f841(x95962,a831),f841(x95962,a831))),f327(f327(f236(f841(x95962,a831),f841(x95962,a831)),x95963),x95961)),f320(x95962,x95964)))+~P134(f327(f327(f329(x95962),x95965),x95961))+~P134(f327(f327(f329(f840(x95962,x95962)),f327(f327(f236(x95962,x95962),f610(x95964,x95961,x95963,x95962)),x95965)),x95964)) % 153.71/153.55 [7658]P141(x76581,x76582)+P141(x76583,x76584)+~P140(x76581,x76585)+~P140(x76583,x76586)+~P38(f26(a843),x76585,f327(a111,a844),x76582)+~P38(f327(f226(a832),f327(a30,a843)),x76586,a844,x76584) % 153.71/153.55 [9757]~P74(x97571)+~E(f327(f327(f8(x97575,x97571),x97572),x97576),x97574)+~P134(f327(f66(x97575),x97576))+P134(f327(f327(f329(x97575),f453(x97573,x97574,x97572,x97576,x97575,x97571)),x97576))+P134(f327(f327(f227(x97571),f327(x97572,x97573)),x97574))+~P134(f327(f327(f329(x97575),x97573),x97576)) % 153.71/153.55 [9810]~P74(x98101)+~E(f327(f327(f8(x98105,x98101),x98102),x98106),x98104)+~P134(f327(f66(x98105),x98106))+~P134(f327(f327(f329(x98105),x98103),x98106))+~P134(f327(f327(f227(x98101),f2(x98101)),f327(x98102,f453(x98103,x98104,x98102,x98106,x98105,x98101))))+P134(f327(f327(f227(x98101),f327(x98102,x98103)),x98104)) % 153.71/153.55 [9924]~E(x99245,x99248)+~E(x99244,x99247)+~P65(x99242)+~P99(x99241)+E(f327(f327(f8(x99241,x99242),x99243),f327(f289(x99241,x99244),x99245)),f327(f327(f8(x99241,x99242),x99246),f327(f289(x99241,x99247),x99248)))+P134(f327(f327(f227(x99241),x99244),f364(x99243,x99246,x99245,x99248,x99244,x99247,x99241,x99242))) % 153.71/153.55 [9939]~E(x99397,x99394)+~E(x99398,x99395)+~P65(x99392)+~P99(x99391)+~E(f327(x99393,f364(x99396,x99393,x99398,x99395,x99397,x99394,x99391,x99392)),f327(x99396,f364(x99396,x99393,x99398,x99395,x99397,x99394,x99391,x99392)))+E(f327(f327(f8(x99391,x99392),x99393),f327(f289(x99391,x99394),x99395)),f327(f327(f8(x99391,x99392),x99396),f327(f289(x99391,x99397),x99398))) % 153.71/153.55 [9942]~E(x99424,x99427)+~E(x99425,x99428)+~P65(x99422)+~P99(x99421)+E(f327(f327(f8(x99421,x99422),x99423),f327(f289(x99421,x99424),x99425)),f327(f327(f8(x99421,x99422),x99426),f327(f289(x99421,x99427),x99428)))+P134(f327(f327(f228(x99421),f364(x99423,x99426,x99425,x99428,x99424,x99427,x99421,x99422)),x99425)) % 153.71/153.55 [9600]~P12(x96005,x96009,x96006)+~P12(x96001,x960010,x96003)+~P17(x96001,x96005,f841(x96002,a831),x96003,x96006,x96008)+~P134(f327(f327(f329(x96005),x96007),x96009))+~P134(f327(f327(f329(x96001),x96004),x960010))+E(f327(f327(f47(x96001,f841(x96002,a831)),f327(f272(x96001,x96001,x96003),f327(f327(f297(x96001),x96004),f176(f841(x96001,a831))))),f327(f327(f10(f841(x96005,f841(x96002,a831)),f841(x96002,a831),x96001),f327(f47(x96005,f841(x96002,a831)),f327(f272(x96005,x96005,x96006),f327(f327(f297(x96005),x96007),f176(f841(x96005,a831)))))),x96008)),f327(f327(x96008,x96004),x96007)) % 153.71/153.55 [5416]~P97(x54163)+~P18(x54163,x54162)+~P18(x54163,x54161)+E(x54161,x54162)+~E(f327(f154(x54163),x54161),f327(f154(x54163),x54162))+~P134(f327(f124(x54163),x54162))+~P134(f327(f124(x54163),x54161)) % 153.71/153.55 [4764]~P118(x47642)+~P119(x47642)+~P136(x47642)+~P102(x47642)+~E(x47643,f2(x47642))+E(x47641,f2(a834))+E(f327(f327(f237(x47642),x47643),x47641),f2(x47642)) % 153.71/153.55 [8955]E(x89551,f2(a834))+~E(x89552,f327(f327(f84(a834),f327(f327(f85(a834),f327(f235(a834,a834),x89553)),x89551)),f327(f245(a834,a834),x89553)))+P134(f327(f56(x89552,x89551),x89553))+~P134(f327(f327(f227(a834),f327(f245(a834,a834),x89553)),f2(a834)))+~P134(f327(f327(f227(a834),f2(a834)),f327(f245(a834,a834),x89553)))+~P134(f327(f327(f228(a834),x89551),f327(f245(a834,a834),x89553)))+~P134(f327(f327(f228(a834),f327(f245(a834,a834),x89553)),x89551)) % 153.71/153.55 [8963]~E(f327(f235(a834,a834),x89633),f2(a834))+~E(x89631,f327(f327(f84(a834),f327(f327(f85(a834),f327(f235(a834,a834),x89633)),x89632)),f327(f245(a834,a834),x89633)))+P134(f327(f56(x89631,x89632),x89633))+~P134(f327(f327(f227(a834),f327(f245(a834,a834),x89633)),f2(a834)))+~P134(f327(f327(f227(a834),f2(a834)),f327(f245(a834,a834),x89633)))+~P134(f327(f327(f228(a834),x89632),f327(f245(a834,a834),x89633)))+~P134(f327(f327(f228(a834),f327(f245(a834,a834),x89633)),x89632)) % 153.71/153.55 [7904]~P62(x79042)+E(x79041,f176(f841(x79042,a831)))+E(x79043,f176(f841(x79042,a831)))+~P134(f327(f66(x79042),x79041))+~P134(f327(f66(x79042),x79043))+~E(f327(f327(f101(f841(x79042,a831)),x79043),x79041),f176(f841(x79042,a831)))+E(f327(f327(f85(x79042),f327(f68(x79042,f85(x79042)),x79043)),f327(f68(x79042,f85(x79042)),x79041)),f327(f68(x79042,f85(x79042)),f327(f327(f100(f841(x79042,a831)),x79043),x79041))) % 153.71/153.55 [7686]E(x76861,f2(a1))+E(f327(f327(f44(a1),x76862),x76861),x76863)+~P134(f327(f327(f227(a1),x76864),f2(a1)))+~E(x76862,f327(f327(f84(a1),f327(f327(f85(a1),x76861),x76863)),x76864))+~P134(f327(f327(f227(a1),f2(a1)),x76864))+~P134(f327(f327(f228(a1),x76864),x76861))+~P134(f327(f327(f228(a1),x76861),x76864)) % 153.71/153.55 [7692]E(f53(a1,x76922,x76921),x76923)+E(x76921,f2(a1))+~P134(f327(f327(f227(a1),x76923),f2(a1)))+~E(x76922,f327(f327(f84(a1),f327(f327(f85(a1),x76921),x76924)),x76923))+~P134(f327(f327(f227(a1),f2(a1)),x76923))+~P134(f327(f327(f228(a1),x76923),x76921))+~P134(f327(f327(f228(a1),x76921),x76923)) % 153.71/153.55 [6713]~P7(x67132)+E(x67131,f2(x67132))+E(x67133,f2(x67132))+~E(f327(f327(f44(x67132),x67134),x67133),f327(f327(f44(x67132),x67135),x67131))+E(f327(f327(f85(x67132),x67134),x67131),f327(f327(f85(x67132),x67133),x67135))+~P134(f327(f327(f274(x67132),x67131),x67135))+~P134(f327(f327(f274(x67132),x67133),x67134)) % 153.71/153.55 [6714]~P7(x67142)+E(x67141,f2(x67142))+E(x67143,f2(x67142))+~E(f327(f327(f85(x67142),x67144),x67143),f327(f327(f85(x67142),x67141),x67145))+E(f327(f327(f44(x67142),x67144),x67141),f327(f327(f44(x67142),x67145),x67143))+~P134(f327(f327(f274(x67142),x67141),x67144))+~P134(f327(f327(f274(x67142),x67143),x67145)) % 153.71/153.55 [7602]~P22(x76022,x76025,x76024)+E(x76021,f176(f841(x76022,a831)))+E(x76023,f176(f841(x76022,a831)))+~P134(f327(f66(x76022),x76021))+~P134(f327(f66(x76022),x76023))+~E(f327(f327(f101(f841(x76022,a831)),x76023),x76021),f176(f841(x76022,a831)))+E(f327(x76024,f327(f327(f100(f841(x76022,a831)),x76023),x76021)),f327(f327(x76025,f327(x76024,x76023)),f327(x76024,x76021))) % 153.71/153.55 [9168]~P28(x91683,x91681,x91685,x91684)+~P28(x91681,x91683,x91686,x91682)+E(f327(f43(x91681),x91682),f327(f43(x91683),x91684))+~P134(f327(f66(x91683),x91684))+~P134(f327(f66(x91681),x91682))+~P134(f327(f327(f227(f841(x91683,a831)),f327(f298(x91681,x91683,x91686),x91682)),x91684))+~P134(f327(f327(f227(f841(x91681,a831)),f327(f298(x91683,x91681,x91685),x91684)),x91682)) % 153.71/153.55 [9116]~P134(f327(f327(f228(a1),f327(f327(f84(a1),f327(f327(f85(a1),x91165),x91161)),x91166)),f2(a1)))+~E(f327(f327(f84(a1),f327(f327(f85(a1),x91163),x91162)),x91164),f327(f327(f84(a1),f327(f327(f85(a1),x91165),x91161)),x91166))+~P134(f327(f327(f228(a1),f2(a1)),x91165))+~P134(f327(f327(f227(a1),f2(a1)),x91166))+~P134(f327(f327(f228(a1),x91164),x91163))+~P134(f327(f327(f227(a1),x91165),x91163))+P134(f327(f327(f227(a1),x91161),x91162)) % 153.71/153.55 [8906]~E(f327(f327(f84(a1),f327(f327(f85(a1),x89063),x89061)),x89064),f327(f327(f84(a1),f327(f327(f85(a1),x89065),x89062)),x89066))+~P134(f327(f327(f228(a1),f2(a1)),x89065))+~P134(f327(f327(f227(a1),f2(a1)),x89064))+~P134(f327(f327(f228(a1),x89066),x89065))+~P134(f327(f327(f227(a1),x89065),x89063))+P134(f327(f327(f227(a1),x89061),x89062))+~P134(f327(f327(f227(a1),f2(a1)),f327(f327(f84(a1),f327(f327(f85(a1),x89065),x89062)),x89066))) % 153.71/153.55 [9070]~P121(x90701)+~E(f327(f327(f84(x90701),x90702),x90704),f82(x90701))+~P134(f327(f327(f227(x90701),f2(x90701)),x90704))+~P134(f327(f327(f227(x90701),f2(x90701)),x90702))+~P134(f327(f327(f228(x90701),x90705),x90706))+~P134(f327(f327(f228(x90701),x90703),x90706))+P134(f327(f327(f228(x90701),f327(f327(f84(x90701),f327(f327(f85(x90701),x90702),x90703)),f327(f327(f85(x90701),x90704),x90705))),x90706)) % 153.71/153.55 [9071]~P123(x90711)+~E(f327(f327(f84(x90711),x90712),x90714),f82(x90711))+~P134(f327(f327(f227(x90711),x90715),x90716))+~P134(f327(f327(f227(x90711),x90713),x90716))+~P134(f327(f327(f227(x90711),f2(x90711)),x90714))+~P134(f327(f327(f227(x90711),f2(x90711)),x90712))+P134(f327(f327(f227(x90711),f327(f327(f84(x90711),f327(f327(f85(x90711),x90712),x90713)),f327(f327(f85(x90711),x90714),x90715))),x90716)) % 153.71/153.55 [9849]~P12(x98497,x98496,x98495)+E(x98491,x98492)+~P16(x98497,f841(x98494,a831),x98495,x98493)+E(f327(x98493,f484(x98491,x98492,x98493,x98494,x98495,x98496,x98497)),f327(x98493,f485(x98491,x98492,x98493,x98494,x98495,x98496,x98497)))+~E(f327(f327(f47(x98497,f841(x98494,a831)),x98491),x98493),f327(f327(f47(x98497,f841(x98494,a831)),x98492),x98493))+~P134(f327(f327(f329(f841(x98497,a831)),x98492),f327(f327(f62(x98497),x98496),x98495)))+~P134(f327(f327(f329(f841(x98497,a831)),x98491),f327(f327(f62(x98497),x98496),x98495))) % 153.71/153.55 [9889]~P12(x98893,x98897,x98896)+E(x98891,x98892)+~P16(x98893,f841(x98895,a831),x98896,x98894)+~E(f327(f327(f47(x98893,f841(x98895,a831)),x98891),x98894),f327(f327(f47(x98893,f841(x98895,a831)),x98892),x98894))+P134(f327(f327(f329(x98893),f485(x98891,x98892,x98894,x98895,x98896,x98897,x98893)),x98897))+~P134(f327(f327(f329(f841(x98893,a831)),x98892),f327(f327(f62(x98893),x98897),x98896)))+~P134(f327(f327(f329(f841(x98893,a831)),x98891),f327(f327(f62(x98893),x98897),x98896))) % 153.71/153.55 [9890]~P12(x98903,x98907,x98906)+E(x98901,x98902)+~P16(x98903,f841(x98905,a831),x98906,x98904)+~E(f327(f327(f47(x98903,f841(x98905,a831)),x98901),x98904),f327(f327(f47(x98903,f841(x98905,a831)),x98902),x98904))+P134(f327(f327(f329(x98903),f484(x98901,x98902,x98904,x98905,x98906,x98907,x98903)),x98907))+~P134(f327(f327(f329(f841(x98903,a831)),x98902),f327(f327(f62(x98903),x98907),x98906)))+~P134(f327(f327(f329(f841(x98903,a831)),x98901),f327(f327(f62(x98903),x98907),x98906))) % 153.71/153.55 [9953]E(x99531,x99532)+~P12(x99533,x99536,x99537)+~P16(x99533,f841(x99534,a831),x99537,x99535)+~E(f327(f327(f47(x99533,f841(x99534,a831)),x99531),x99535),f327(f327(f47(x99533,f841(x99534,a831)),x99532),x99535))+~P134(f327(f327(f329(f840(x99533,x99533)),f327(f327(f236(x99533,x99533),f485(x99531,x99532,x99535,x99534,x99537,x99536,x99533)),f484(x99531,x99532,x99535,x99534,x99537,x99536,x99533))),x99537))+~P134(f327(f327(f329(f841(x99533,a831)),x99532),f327(f327(f62(x99533),x99536),x99537)))+~P134(f327(f327(f329(f841(x99533,a831)),x99531),f327(f327(f62(x99533),x99536),x99537))) % 153.71/153.55 [8905]~P12(x89051,x89057,x89054)+~E(x89055,x89056)+~P134(f327(f327(f329(x89051),x89053),x89056))+~P134(f327(f327(f329(x89051),x89052),x89055))+~P134(f327(f327(f329(f841(x89051,a831)),x89056),f327(f327(f62(x89051),x89057),x89054)))+~P134(f327(f327(f329(f841(x89051,a831)),x89055),f327(f327(f62(x89051),x89057),x89054)))+P134(f327(f327(f329(f840(x89051,x89051)),f327(f327(f236(x89051,x89051),x89052),x89053)),x89054)) % 153.71/153.55 [9035]E(x90351,x90352)+~P12(x90353,x90354,x90355)+~P134(f327(f327(f329(x90353),x90356),x90352))+~P134(f327(f327(f329(x90353),x90357),x90351))+~P134(f327(f327(f329(f841(x90353,a831)),x90352),f327(f327(f62(x90353),x90354),x90355)))+~P134(f327(f327(f329(f841(x90353,a831)),x90351),f327(f327(f62(x90353),x90354),x90355)))+~P134(f327(f327(f329(f840(x90353,x90353)),f327(f327(f236(x90353,x90353),x90357),x90356)),x90355)) % 153.71/153.55 [9970]~P12(x99709,x99708,x99707)+~P12(x99701,x997011,x997010)+~P17(x99701,x99709,f841(x99706,a831),x997010,x99707,x99705)+P134(f327(f327(f329(x99701),f486(x99702,x99703,x99704,x99705,x99706,x99707,x99708,x99709,x997010,x997011,x99701)),x997011))+~P134(f327(f327(f329(f841(x99709,a831)),x99703),f327(f327(f62(x99709),x99708),x99707)))+~P134(f327(f327(f329(f841(x99701,a831)),x99704),f327(f327(f62(x99701),x997011),x997010)))+P134(f327(f327(f329(f841(x99706,a831)),f327(f327(f47(x99701,f841(x99706,a831)),x99704),f327(f327(f10(f841(x99709,f841(x99706,a831)),f841(x99706,a831),x99701),f327(f47(x99709,f841(x99706,a831)),x99703)),x99705))),x99702)) % 153.71/153.55 [9971]~P12(x997111,x997110,x99719)+~P12(x99711,x99718,x99717)+~P17(x997111,x99711,f841(x99716,a831),x99719,x99717,x99715)+P134(f327(f327(f329(x99711),f487(x99712,x99713,x99714,x99715,x99716,x99717,x99718,x99711,x99719,x997110,x997111)),x99718))+~P134(f327(f327(f329(f841(x997111,a831)),x99714),f327(f327(f62(x997111),x997110),x99719)))+~P134(f327(f327(f329(f841(x99711,a831)),x99713),f327(f327(f62(x99711),x99718),x99717)))+P134(f327(f327(f329(f841(x99716,a831)),f327(f327(f47(x997111,f841(x99716,a831)),x99714),f327(f327(f10(f841(x99711,f841(x99716,a831)),f841(x99716,a831),x997111),f327(f47(x99711,f841(x99716,a831)),x99713)),x99715))),x99712)) % 153.71/153.55 [9972]~P12(x99722,x99728,x99729)+~P12(x99724,x997210,x997211)+~P17(x99722,x99724,f841(x99721,a831),x99729,x997211,x99726)+~P134(f327(f327(f329(f841(x99722,a831)),x99723),f327(f327(f62(x99722),x99728),x99729)))+~P134(f327(f327(f329(f841(x99724,a831)),x99725),f327(f327(f62(x99724),x997210),x997211)))+~P134(f327(f327(f329(f841(x99721,a831)),f327(f327(x99726,f486(x99727,x99725,x99723,x99726,x99721,x997211,x997210,x99724,x99729,x99728,x99722)),f487(x99727,x99725,x99723,x99726,x99721,x997211,x997210,x99724,x99729,x99728,x99722))),x99727))+P134(f327(f327(f329(f841(x99721,a831)),f327(f327(f47(x99722,f841(x99721,a831)),x99723),f327(f327(f10(f841(x99724,f841(x99721,a831)),f841(x99721,a831),x99722),f327(f47(x99724,f841(x99721,a831)),x99725)),x99726))),x99727)) % 153.71/153.55 [8948]E(x89481,x89482)+~P97(x89484)+~P28(x89483,x89484,x89485,f327(f327(f100(f841(x89483,a831)),f327(f154(x89483),x89481)),f327(f154(x89483),x89482)))+~E(f327(f154(x89483),x89481),f327(f154(x89483),x89482))+~P18(x89484,f327(f327(f138(x89483,x89484),x89485),x89482))+~P18(x89484,f327(f327(f138(x89483,x89484),x89485),x89481))+~P134(f327(f124(x89484),f327(f327(f138(x89483,x89484),x89485),x89482)))+~P134(f327(f124(x89484),f327(f327(f138(x89483,x89484),x89485),x89481))) % 153.71/153.55 %EqnAxiom % 153.71/153.55 [1]E(x11,x11) % 153.71/153.55 [2]E(x22,x21)+~E(x21,x22) % 153.71/153.55 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 153.71/153.55 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 153.71/153.55 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 153.71/153.55 [6]~E(x61,x62)+E(f99(x61),f99(x62)) % 153.71/153.55 [7]~E(x71,x72)+E(f34(x71),f34(x72)) % 153.71/153.55 [8]~E(x81,x82)+E(f327(x81,x83),f327(x82,x83)) % 153.71/153.55 [9]~E(x91,x92)+E(f327(x93,x91),f327(x93,x92)) % 153.71/153.55 [10]~E(x101,x102)+E(f88(x101),f88(x102)) % 153.71/153.55 [11]~E(x111,x112)+E(f66(x111),f66(x112)) % 153.71/153.55 [12]~E(x121,x122)+E(f126(x121,x123),f126(x122,x123)) % 153.71/153.55 [13]~E(x131,x132)+E(f126(x133,x131),f126(x133,x132)) % 153.71/153.55 [14]~E(x141,x142)+E(f177(x141),f177(x142)) % 153.71/153.55 [15]~E(x151,x152)+E(f175(x151),f175(x152)) % 153.71/153.55 [16]~E(x161,x162)+E(f100(x161),f100(x162)) % 153.71/153.55 [17]~E(x171,x172)+E(f176(x171),f176(x172)) % 153.71/153.55 [18]~E(x181,x182)+E(f487(x181,x183,x184,x185,x186,x187,x188,x189,x1810,x1811,x1812),f487(x182,x183,x184,x185,x186,x187,x188,x189,x1810,x1811,x1812)) % 153.71/153.55 [19]~E(x191,x192)+E(f487(x193,x191,x194,x195,x196,x197,x198,x199,x1910,x1911,x1912),f487(x193,x192,x194,x195,x196,x197,x198,x199,x1910,x1911,x1912)) % 153.71/153.55 [20]~E(x201,x202)+E(f487(x203,x204,x201,x205,x206,x207,x208,x209,x2010,x2011,x2012),f487(x203,x204,x202,x205,x206,x207,x208,x209,x2010,x2011,x2012)) % 153.71/153.55 [21]~E(x211,x212)+E(f487(x213,x214,x215,x211,x216,x217,x218,x219,x2110,x2111,x2112),f487(x213,x214,x215,x212,x216,x217,x218,x219,x2110,x2111,x2112)) % 153.71/153.55 [22]~E(x221,x222)+E(f487(x223,x224,x225,x226,x221,x227,x228,x229,x2210,x2211,x2212),f487(x223,x224,x225,x226,x222,x227,x228,x229,x2210,x2211,x2212)) % 153.71/153.55 [23]~E(x231,x232)+E(f487(x233,x234,x235,x236,x237,x231,x238,x239,x2310,x2311,x2312),f487(x233,x234,x235,x236,x237,x232,x238,x239,x2310,x2311,x2312)) % 153.71/153.55 [24]~E(x241,x242)+E(f487(x243,x244,x245,x246,x247,x248,x241,x249,x2410,x2411,x2412),f487(x243,x244,x245,x246,x247,x248,x242,x249,x2410,x2411,x2412)) % 153.71/153.55 [25]~E(x251,x252)+E(f487(x253,x254,x255,x256,x257,x258,x259,x251,x2510,x2511,x2512),f487(x253,x254,x255,x256,x257,x258,x259,x252,x2510,x2511,x2512)) % 153.71/153.55 [26]~E(x261,x262)+E(f487(x263,x264,x265,x266,x267,x268,x269,x2610,x261,x2611,x2612),f487(x263,x264,x265,x266,x267,x268,x269,x2610,x262,x2611,x2612)) % 153.71/153.55 [27]~E(x271,x272)+E(f487(x273,x274,x275,x276,x277,x278,x279,x2710,x2711,x271,x2712),f487(x273,x274,x275,x276,x277,x278,x279,x2710,x2711,x272,x2712)) % 153.71/153.55 [28]~E(x281,x282)+E(f487(x283,x284,x285,x286,x287,x288,x289,x2810,x2811,x2812,x281),f487(x283,x284,x285,x286,x287,x288,x289,x2810,x2811,x2812,x282)) % 153.71/153.55 [29]~E(x291,x292)+E(f231(x291),f231(x292)) % 153.71/153.55 [30]~E(x301,x302)+E(f101(x301),f101(x302)) % 153.71/153.55 [31]~E(x311,x312)+E(f102(x311),f102(x312)) % 153.71/153.55 [32]~E(x321,x322)+E(f39(x321),f39(x322)) % 153.71/153.55 [33]~E(x331,x332)+E(f835(x331),f835(x332)) % 153.71/153.55 [34]~E(x341,x342)+E(f82(x341),f82(x342)) % 153.71/153.55 [35]~E(x351,x352)+E(f486(x351,x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512),f486(x352,x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512)) % 153.71/153.55 [36]~E(x361,x362)+E(f486(x363,x361,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612),f486(x363,x362,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612)) % 153.71/153.55 [37]~E(x371,x372)+E(f486(x373,x374,x371,x375,x376,x377,x378,x379,x3710,x3711,x3712),f486(x373,x374,x372,x375,x376,x377,x378,x379,x3710,x3711,x3712)) % 153.71/153.55 [38]~E(x381,x382)+E(f486(x383,x384,x385,x381,x386,x387,x388,x389,x3810,x3811,x3812),f486(x383,x384,x385,x382,x386,x387,x388,x389,x3810,x3811,x3812)) % 153.71/153.55 [39]~E(x391,x392)+E(f486(x393,x394,x395,x396,x391,x397,x398,x399,x3910,x3911,x3912),f486(x393,x394,x395,x396,x392,x397,x398,x399,x3910,x3911,x3912)) % 153.71/153.55 [40]~E(x401,x402)+E(f486(x403,x404,x405,x406,x407,x401,x408,x409,x4010,x4011,x4012),f486(x403,x404,x405,x406,x407,x402,x408,x409,x4010,x4011,x4012)) % 153.71/153.55 [41]~E(x411,x412)+E(f486(x413,x414,x415,x416,x417,x418,x411,x419,x4110,x4111,x4112),f486(x413,x414,x415,x416,x417,x418,x412,x419,x4110,x4111,x4112)) % 153.71/153.55 [42]~E(x421,x422)+E(f486(x423,x424,x425,x426,x427,x428,x429,x421,x4210,x4211,x4212),f486(x423,x424,x425,x426,x427,x428,x429,x422,x4210,x4211,x4212)) % 153.71/153.55 [43]~E(x431,x432)+E(f486(x433,x434,x435,x436,x437,x438,x439,x4310,x431,x4311,x4312),f486(x433,x434,x435,x436,x437,x438,x439,x4310,x432,x4311,x4312)) % 153.71/153.55 [44]~E(x441,x442)+E(f486(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x441,x4412),f486(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x442,x4412)) % 153.71/153.55 [45]~E(x451,x452)+E(f486(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x4512,x451),f486(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x4512,x452)) % 153.71/153.55 [46]~E(x461,x462)+E(f110(x461),f110(x462)) % 153.71/153.55 [47]~E(x471,x472)+E(f329(x471),f329(x472)) % 153.71/153.55 [48]~E(x481,x482)+E(f841(x481,x483),f841(x482,x483)) % 153.71/153.55 [49]~E(x491,x492)+E(f841(x493,x491),f841(x493,x492)) % 153.71/153.55 [50]~E(x501,x502)+E(f6(x501),f6(x502)) % 153.71/153.55 [51]~E(x511,x512)+E(f10(x511,x513,x514),f10(x512,x513,x514)) % 153.71/153.55 [52]~E(x521,x522)+E(f10(x523,x521,x524),f10(x523,x522,x524)) % 153.71/153.55 [53]~E(x531,x532)+E(f10(x533,x534,x531),f10(x533,x534,x532)) % 153.71/153.55 [54]~E(x541,x542)+E(f26(x541),f26(x542)) % 153.71/153.55 [55]~E(x551,x552)+E(f9(x551,x553,x554),f9(x552,x553,x554)) % 153.71/153.55 [56]~E(x561,x562)+E(f9(x563,x561,x564),f9(x563,x562,x564)) % 153.71/153.55 [57]~E(x571,x572)+E(f9(x573,x574,x571),f9(x573,x574,x572)) % 153.71/153.55 [58]~E(x581,x582)+E(f85(x581),f85(x582)) % 153.71/153.55 [59]~E(x591,x592)+E(f83(x591),f83(x592)) % 153.71/153.55 [60]~E(x601,x602)+E(f17(x601,x603),f17(x602,x603)) % 153.71/153.55 [61]~E(x611,x612)+E(f17(x613,x611),f17(x613,x612)) % 153.71/153.55 [62]~E(x621,x622)+E(f228(x621),f228(x622)) % 153.71/153.55 [63]~E(x631,x632)+E(f274(x631),f274(x632)) % 153.71/153.55 [64]~E(x641,x642)+E(f103(x641),f103(x642)) % 153.71/153.55 [65]~E(x651,x652)+E(f234(x651),f234(x652)) % 153.71/153.55 [66]~E(x661,x662)+E(f154(x661),f154(x662)) % 153.71/153.55 [67]~E(x671,x672)+E(f227(x671),f227(x672)) % 153.71/153.55 [68]~E(x681,x682)+E(f62(x681),f62(x682)) % 153.71/153.55 [69]~E(x691,x692)+E(f112(x691),f112(x692)) % 153.71/153.55 [70]~E(x701,x702)+E(f79(x701),f79(x702)) % 153.71/153.55 [71]~E(x711,x712)+E(f278(x711),f278(x712)) % 153.71/153.55 [72]~E(x721,x722)+E(f43(x721),f43(x722)) % 153.71/153.55 [73]~E(x731,x732)+E(f53(x731,x733,x734),f53(x732,x733,x734)) % 153.71/153.55 [74]~E(x741,x742)+E(f53(x743,x741,x744),f53(x743,x742,x744)) % 153.71/153.55 [75]~E(x751,x752)+E(f53(x753,x754,x751),f53(x753,x754,x752)) % 153.71/153.55 [76]~E(x761,x762)+E(f165(x761,x763,x764),f165(x762,x763,x764)) % 153.71/153.55 [77]~E(x771,x772)+E(f165(x773,x771,x774),f165(x773,x772,x774)) % 153.71/153.55 [78]~E(x781,x782)+E(f165(x783,x784,x781),f165(x783,x784,x782)) % 153.71/153.55 [79]~E(x791,x792)+E(f8(x791,x793),f8(x792,x793)) % 153.71/153.55 [80]~E(x801,x802)+E(f8(x803,x801),f8(x803,x802)) % 153.71/153.55 [81]~E(x811,x812)+E(f719(x811,x813,x814,x815,x816),f719(x812,x813,x814,x815,x816)) % 153.71/153.55 [82]~E(x821,x822)+E(f719(x823,x821,x824,x825,x826),f719(x823,x822,x824,x825,x826)) % 153.71/153.55 [83]~E(x831,x832)+E(f719(x833,x834,x831,x835,x836),f719(x833,x834,x832,x835,x836)) % 153.71/153.55 [84]~E(x841,x842)+E(f719(x843,x844,x845,x841,x846),f719(x843,x844,x845,x842,x846)) % 153.71/153.55 [85]~E(x851,x852)+E(f719(x853,x854,x855,x856,x851),f719(x853,x854,x855,x856,x852)) % 153.71/153.55 [86]~E(x861,x862)+E(f236(x861,x863),f236(x862,x863)) % 153.71/153.55 [87]~E(x871,x872)+E(f236(x873,x871),f236(x873,x872)) % 153.71/153.55 [88]~E(x881,x882)+E(f56(x881,x883),f56(x882,x883)) % 153.71/153.55 [89]~E(x891,x892)+E(f56(x893,x891),f56(x893,x892)) % 153.71/153.55 [90]~E(x901,x902)+E(f84(x901),f84(x902)) % 153.71/153.55 [91]~E(x911,x912)+E(f840(x911,x913),f840(x912,x913)) % 153.71/153.55 [92]~E(x921,x922)+E(f840(x923,x921),f840(x923,x922)) % 153.71/153.55 [93]~E(x931,x932)+E(f136(x931),f136(x932)) % 153.71/153.55 [94]~E(x941,x942)+E(f77(x941,x943,x944,x945),f77(x942,x943,x944,x945)) % 153.71/153.55 [95]~E(x951,x952)+E(f77(x953,x951,x954,x955),f77(x953,x952,x954,x955)) % 153.71/153.55 [96]~E(x961,x962)+E(f77(x963,x964,x961,x965),f77(x963,x964,x962,x965)) % 153.71/153.55 [97]~E(x971,x972)+E(f77(x973,x974,x975,x971),f77(x973,x974,x975,x972)) % 153.71/153.55 [98]~E(x981,x982)+E(f11(x981,x983),f11(x982,x983)) % 153.71/153.55 [99]~E(x991,x992)+E(f11(x993,x991),f11(x993,x992)) % 153.71/153.55 [100]~E(x1001,x1002)+E(f91(x1001),f91(x1002)) % 153.71/153.55 [101]~E(x1011,x1012)+E(f247(x1011,x1013,x1014,x1015,x1016,x1017),f247(x1012,x1013,x1014,x1015,x1016,x1017)) % 153.71/153.55 [102]~E(x1021,x1022)+E(f247(x1023,x1021,x1024,x1025,x1026,x1027),f247(x1023,x1022,x1024,x1025,x1026,x1027)) % 153.71/153.55 [103]~E(x1031,x1032)+E(f247(x1033,x1034,x1031,x1035,x1036,x1037),f247(x1033,x1034,x1032,x1035,x1036,x1037)) % 153.71/153.55 [104]~E(x1041,x1042)+E(f247(x1043,x1044,x1045,x1041,x1046,x1047),f247(x1043,x1044,x1045,x1042,x1046,x1047)) % 153.71/153.55 [105]~E(x1051,x1052)+E(f247(x1053,x1054,x1055,x1056,x1051,x1057),f247(x1053,x1054,x1055,x1056,x1052,x1057)) % 153.71/153.55 [106]~E(x1061,x1062)+E(f247(x1063,x1064,x1065,x1066,x1067,x1061),f247(x1063,x1064,x1065,x1066,x1067,x1062)) % 153.71/153.55 [107]~E(x1071,x1072)+E(f298(x1071,x1073,x1074),f298(x1072,x1073,x1074)) % 153.71/153.55 [108]~E(x1081,x1082)+E(f298(x1083,x1081,x1084),f298(x1083,x1082,x1084)) % 153.71/153.55 [109]~E(x1091,x1092)+E(f298(x1093,x1094,x1091),f298(x1093,x1094,x1092)) % 153.71/153.55 [110]~E(x1101,x1102)+E(f245(x1101,x1103),f245(x1102,x1103)) % 153.71/153.55 [111]~E(x1111,x1112)+E(f245(x1113,x1111),f245(x1113,x1112)) % 153.71/153.55 [112]~E(x1121,x1122)+E(f20(x1121,x1123,x1124),f20(x1122,x1123,x1124)) % 153.71/153.55 [113]~E(x1131,x1132)+E(f20(x1133,x1131,x1134),f20(x1133,x1132,x1134)) % 153.71/153.55 [114]~E(x1141,x1142)+E(f20(x1143,x1144,x1141),f20(x1143,x1144,x1142)) % 153.71/153.55 [115]~E(x1151,x1152)+E(f44(x1151),f44(x1152)) % 153.71/153.55 [116]~E(x1161,x1162)+E(f148(x1161),f148(x1162)) % 153.71/153.55 [117]~E(x1171,x1172)+E(f168(x1171,x1173,x1174,x1175),f168(x1172,x1173,x1174,x1175)) % 153.71/153.55 [118]~E(x1181,x1182)+E(f168(x1183,x1181,x1184,x1185),f168(x1183,x1182,x1184,x1185)) % 153.71/153.55 [119]~E(x1191,x1192)+E(f168(x1193,x1194,x1191,x1195),f168(x1193,x1194,x1192,x1195)) % 153.71/153.55 [120]~E(x1201,x1202)+E(f168(x1203,x1204,x1205,x1201),f168(x1203,x1204,x1205,x1202)) % 153.71/153.55 [121]~E(x1211,x1212)+E(f95(x1211),f95(x1212)) % 153.71/153.55 [122]~E(x1221,x1222)+E(f838(x1221),f838(x1222)) % 153.71/153.55 [123]~E(x1231,x1232)+E(f38(x1231,x1233,x1234,x1235,x1236,x1237,x1238,x1239,x12310,x12311),f38(x1232,x1233,x1234,x1235,x1236,x1237,x1238,x1239,x12310,x12311)) % 153.71/153.55 [124]~E(x1241,x1242)+E(f38(x1243,x1241,x1244,x1245,x1246,x1247,x1248,x1249,x12410,x12411),f38(x1243,x1242,x1244,x1245,x1246,x1247,x1248,x1249,x12410,x12411)) % 153.71/153.55 [125]~E(x1251,x1252)+E(f38(x1253,x1254,x1251,x1255,x1256,x1257,x1258,x1259,x12510,x12511),f38(x1253,x1254,x1252,x1255,x1256,x1257,x1258,x1259,x12510,x12511)) % 153.71/153.55 [126]~E(x1261,x1262)+E(f38(x1263,x1264,x1265,x1261,x1266,x1267,x1268,x1269,x12610,x12611),f38(x1263,x1264,x1265,x1262,x1266,x1267,x1268,x1269,x12610,x12611)) % 153.71/153.55 [127]~E(x1271,x1272)+E(f38(x1273,x1274,x1275,x1276,x1271,x1277,x1278,x1279,x12710,x12711),f38(x1273,x1274,x1275,x1276,x1272,x1277,x1278,x1279,x12710,x12711)) % 153.71/153.55 [128]~E(x1281,x1282)+E(f38(x1283,x1284,x1285,x1286,x1287,x1281,x1288,x1289,x12810,x12811),f38(x1283,x1284,x1285,x1286,x1287,x1282,x1288,x1289,x12810,x12811)) % 153.71/153.55 [129]~E(x1291,x1292)+E(f38(x1293,x1294,x1295,x1296,x1297,x1298,x1291,x1299,x12910,x12911),f38(x1293,x1294,x1295,x1296,x1297,x1298,x1292,x1299,x12910,x12911)) % 153.71/153.55 [130]~E(x1301,x1302)+E(f38(x1303,x1304,x1305,x1306,x1307,x1308,x1309,x1301,x13010,x13011),f38(x1303,x1304,x1305,x1306,x1307,x1308,x1309,x1302,x13010,x13011)) % 153.71/153.55 [131]~E(x1311,x1312)+E(f38(x1313,x1314,x1315,x1316,x1317,x1318,x1319,x13110,x1311,x13111),f38(x1313,x1314,x1315,x1316,x1317,x1318,x1319,x13110,x1312,x13111)) % 153.71/153.55 [132]~E(x1321,x1322)+E(f38(x1323,x1324,x1325,x1326,x1327,x1328,x1329,x13210,x13211,x1321),f38(x1323,x1324,x1325,x1326,x1327,x1328,x1329,x13210,x13211,x1322)) % 153.71/153.55 [133]~E(x1331,x1332)+E(f141(x1331,x1333),f141(x1332,x1333)) % 153.71/153.55 [134]~E(x1341,x1342)+E(f141(x1343,x1341),f141(x1343,x1342)) % 153.71/153.55 [135]~E(x1351,x1352)+E(f235(x1351,x1353),f235(x1352,x1353)) % 153.71/153.55 [136]~E(x1361,x1362)+E(f235(x1363,x1361),f235(x1363,x1362)) % 153.71/153.55 [137]~E(x1371,x1372)+E(f251(x1371),f251(x1372)) % 153.71/153.55 [138]~E(x1381,x1382)+E(f277(x1381,x1383,x1384,x1385),f277(x1382,x1383,x1384,x1385)) % 153.71/153.55 [139]~E(x1391,x1392)+E(f277(x1393,x1391,x1394,x1395),f277(x1393,x1392,x1394,x1395)) % 153.71/153.55 [140]~E(x1401,x1402)+E(f277(x1403,x1404,x1401,x1405),f277(x1403,x1404,x1402,x1405)) % 153.71/153.55 [141]~E(x1411,x1412)+E(f277(x1413,x1414,x1415,x1411),f277(x1413,x1414,x1415,x1412)) % 153.71/153.55 [142]~E(x1421,x1422)+E(f452(x1421,x1423,x1424,x1425,x1426),f452(x1422,x1423,x1424,x1425,x1426)) % 153.71/153.55 [143]~E(x1431,x1432)+E(f452(x1433,x1431,x1434,x1435,x1436),f452(x1433,x1432,x1434,x1435,x1436)) % 153.71/153.55 [144]~E(x1441,x1442)+E(f452(x1443,x1444,x1441,x1445,x1446),f452(x1443,x1444,x1442,x1445,x1446)) % 153.71/153.55 [145]~E(x1451,x1452)+E(f452(x1453,x1454,x1455,x1451,x1456),f452(x1453,x1454,x1455,x1452,x1456)) % 153.71/153.55 [146]~E(x1461,x1462)+E(f452(x1463,x1464,x1465,x1466,x1461),f452(x1463,x1464,x1465,x1466,x1462)) % 153.71/153.55 [147]~E(x1471,x1472)+E(f246(x1471,x1473,x1474),f246(x1472,x1473,x1474)) % 153.71/153.55 [148]~E(x1481,x1482)+E(f246(x1483,x1481,x1484),f246(x1483,x1482,x1484)) % 153.71/153.55 [149]~E(x1491,x1492)+E(f246(x1493,x1494,x1491),f246(x1493,x1494,x1492)) % 153.71/153.55 [150]~E(x1501,x1502)+E(f289(x1501,x1503),f289(x1502,x1503)) % 153.71/153.55 [151]~E(x1511,x1512)+E(f289(x1513,x1511),f289(x1513,x1512)) % 153.71/153.55 [152]~E(x1521,x1522)+E(f15(x1521,x1523),f15(x1522,x1523)) % 153.71/153.55 [153]~E(x1531,x1532)+E(f15(x1533,x1531),f15(x1533,x1532)) % 153.71/153.55 [154]~E(x1541,x1542)+E(f243(x1541,x1543),f243(x1542,x1543)) % 153.71/153.55 [155]~E(x1551,x1552)+E(f243(x1553,x1551),f243(x1553,x1552)) % 153.71/153.55 [156]~E(x1561,x1562)+E(f446(x1561,x1563,x1564,x1565),f446(x1562,x1563,x1564,x1565)) % 153.71/153.55 [157]~E(x1571,x1572)+E(f446(x1573,x1571,x1574,x1575),f446(x1573,x1572,x1574,x1575)) % 153.71/153.55 [158]~E(x1581,x1582)+E(f446(x1583,x1584,x1581,x1585),f446(x1583,x1584,x1582,x1585)) % 153.71/153.55 [159]~E(x1591,x1592)+E(f446(x1593,x1594,x1595,x1591),f446(x1593,x1594,x1595,x1592)) % 153.71/153.55 [160]~E(x1601,x1602)+E(f105(x1601),f105(x1602)) % 153.71/153.55 [161]~E(x1611,x1612)+E(f107(x1611),f107(x1612)) % 153.71/153.55 [162]~E(x1621,x1622)+E(f328(x1621),f328(x1622)) % 153.71/153.55 [163]~E(x1631,x1632)+E(f297(x1631),f297(x1632)) % 153.71/153.55 [164]~E(x1641,x1642)+E(f317(x1641,x1643),f317(x1642,x1643)) % 153.71/153.55 [165]~E(x1651,x1652)+E(f317(x1653,x1651),f317(x1653,x1652)) % 153.71/153.55 [166]~E(x1661,x1662)+E(f233(x1661,x1663),f233(x1662,x1663)) % 153.71/153.55 [167]~E(x1671,x1672)+E(f233(x1673,x1671),f233(x1673,x1672)) % 153.71/153.55 [168]~E(x1681,x1682)+E(f842(x1681,x1683),f842(x1682,x1683)) % 153.71/153.55 [169]~E(x1691,x1692)+E(f842(x1693,x1691),f842(x1693,x1692)) % 153.71/153.55 [170]~E(x1701,x1702)+E(f179(x1701),f179(x1702)) % 153.71/153.55 [171]~E(x1711,x1712)+E(f762(x1711,x1713,x1714),f762(x1712,x1713,x1714)) % 153.71/153.55 [172]~E(x1721,x1722)+E(f762(x1723,x1721,x1724),f762(x1723,x1722,x1724)) % 153.71/153.55 [173]~E(x1731,x1732)+E(f762(x1733,x1734,x1731),f762(x1733,x1734,x1732)) % 153.71/153.55 [174]~E(x1741,x1742)+E(f270(x1741,x1743,x1744,x1745),f270(x1742,x1743,x1744,x1745)) % 153.71/153.55 [175]~E(x1751,x1752)+E(f270(x1753,x1751,x1754,x1755),f270(x1753,x1752,x1754,x1755)) % 153.71/153.55 [176]~E(x1761,x1762)+E(f270(x1763,x1764,x1761,x1765),f270(x1763,x1764,x1762,x1765)) % 153.71/153.55 [177]~E(x1771,x1772)+E(f270(x1773,x1774,x1775,x1771),f270(x1773,x1774,x1775,x1772)) % 153.71/153.55 [178]~E(x1781,x1782)+E(f47(x1781,x1783),f47(x1782,x1783)) % 153.71/153.55 [179]~E(x1791,x1792)+E(f47(x1793,x1791),f47(x1793,x1792)) % 153.71/153.55 [180]~E(x1801,x1802)+E(f7(x1801),f7(x1802)) % 153.71/153.55 [181]~E(x1811,x1812)+E(f146(x1811),f146(x1812)) % 153.71/153.55 [182]~E(x1821,x1822)+E(f18(x1821,x1823),f18(x1822,x1823)) % 153.71/153.55 [183]~E(x1831,x1832)+E(f18(x1833,x1831),f18(x1833,x1832)) % 153.71/153.55 [184]~E(x1841,x1842)+E(f237(x1841),f237(x1842)) % 153.71/153.55 [185]~E(x1851,x1852)+E(f186(x1851,x1853,x1854,x1855),f186(x1852,x1853,x1854,x1855)) % 153.71/153.55 [186]~E(x1861,x1862)+E(f186(x1863,x1861,x1864,x1865),f186(x1863,x1862,x1864,x1865)) % 153.71/153.55 [187]~E(x1871,x1872)+E(f186(x1873,x1874,x1871,x1875),f186(x1873,x1874,x1872,x1875)) % 153.71/153.55 [188]~E(x1881,x1882)+E(f186(x1883,x1884,x1885,x1881),f186(x1883,x1884,x1885,x1882)) % 153.71/153.55 [189]~E(x1891,x1892)+E(f281(x1891,x1893,x1894),f281(x1892,x1893,x1894)) % 153.71/153.55 [190]~E(x1901,x1902)+E(f281(x1903,x1901,x1904),f281(x1903,x1902,x1904)) % 153.71/153.55 [191]~E(x1911,x1912)+E(f281(x1913,x1914,x1911),f281(x1913,x1914,x1912)) % 153.71/153.55 [192]~E(x1921,x1922)+E(f69(x1921,x1923,x1924),f69(x1922,x1923,x1924)) % 153.71/153.55 [193]~E(x1931,x1932)+E(f69(x1933,x1931,x1934),f69(x1933,x1932,x1934)) % 153.71/153.55 [194]~E(x1941,x1942)+E(f69(x1943,x1944,x1941),f69(x1943,x1944,x1942)) % 153.71/153.55 [195]~E(x1951,x1952)+E(f123(x1951,x1953),f123(x1952,x1953)) % 153.71/153.55 [196]~E(x1961,x1962)+E(f123(x1963,x1961),f123(x1963,x1962)) % 153.71/153.55 [197]~E(x1971,x1972)+E(f656(x1971,x1973),f656(x1972,x1973)) % 153.71/153.55 [198]~E(x1981,x1982)+E(f656(x1983,x1981),f656(x1983,x1982)) % 153.71/153.55 [199]~E(x1991,x1992)+E(f125(x1991),f125(x1992)) % 153.71/153.55 [200]~E(x2001,x2002)+E(f138(x2001,x2003),f138(x2002,x2003)) % 153.71/153.55 [201]~E(x2011,x2012)+E(f138(x2013,x2011),f138(x2013,x2012)) % 153.71/153.55 [202]~E(x2021,x2022)+E(f290(x2021,x2023,x2024),f290(x2022,x2023,x2024)) % 153.71/153.55 [203]~E(x2031,x2032)+E(f290(x2033,x2031,x2034),f290(x2033,x2032,x2034)) % 153.71/153.55 [204]~E(x2041,x2042)+E(f290(x2043,x2044,x2041),f290(x2043,x2044,x2042)) % 153.71/153.55 [205]~E(x2051,x2052)+E(f128(x2051,x2053,x2054,x2055),f128(x2052,x2053,x2054,x2055)) % 153.71/153.55 [206]~E(x2061,x2062)+E(f128(x2063,x2061,x2064,x2065),f128(x2063,x2062,x2064,x2065)) % 153.71/153.55 [207]~E(x2071,x2072)+E(f128(x2073,x2074,x2071,x2075),f128(x2073,x2074,x2072,x2075)) % 153.71/153.55 [208]~E(x2081,x2082)+E(f128(x2083,x2084,x2085,x2081),f128(x2083,x2084,x2085,x2082)) % 153.71/153.55 [209]~E(x2091,x2092)+E(f122(x2091),f122(x2092)) % 153.71/153.55 [210]~E(x2101,x2102)+E(f256(x2101,x2103),f256(x2102,x2103)) % 153.71/153.55 [211]~E(x2111,x2112)+E(f256(x2113,x2111),f256(x2113,x2112)) % 153.71/153.55 [212]~E(x2121,x2122)+E(f58(x2121,x2123),f58(x2122,x2123)) % 153.71/153.55 [213]~E(x2131,x2132)+E(f58(x2133,x2131),f58(x2133,x2132)) % 153.71/153.55 [214]~E(x2141,x2142)+E(f222(x2141),f222(x2142)) % 153.71/153.55 [215]~E(x2151,x2152)+E(f276(x2151,x2153,x2154),f276(x2152,x2153,x2154)) % 153.71/153.55 [216]~E(x2161,x2162)+E(f276(x2163,x2161,x2164),f276(x2163,x2162,x2164)) % 153.71/153.55 [217]~E(x2171,x2172)+E(f276(x2173,x2174,x2171),f276(x2173,x2174,x2172)) % 153.71/153.55 [218]~E(x2181,x2182)+E(f12(x2181,x2183),f12(x2182,x2183)) % 153.71/153.55 [219]~E(x2191,x2192)+E(f12(x2193,x2191),f12(x2193,x2192)) % 153.71/153.55 [220]~E(x2201,x2202)+E(f455(x2201,x2203,x2204),f455(x2202,x2203,x2204)) % 153.71/153.55 [221]~E(x2211,x2212)+E(f455(x2213,x2211,x2214),f455(x2213,x2212,x2214)) % 153.71/153.55 [222]~E(x2221,x2222)+E(f455(x2223,x2224,x2221),f455(x2223,x2224,x2222)) % 153.71/153.55 [223]~E(x2231,x2232)+E(f820(x2231,x2233),f820(x2232,x2233)) % 153.71/153.55 [224]~E(x2241,x2242)+E(f820(x2243,x2241),f820(x2243,x2242)) % 153.71/153.55 [225]~E(x2251,x2252)+E(f693(x2251,x2253,x2254,x2255),f693(x2252,x2253,x2254,x2255)) % 153.71/153.55 [226]~E(x2261,x2262)+E(f693(x2263,x2261,x2264,x2265),f693(x2263,x2262,x2264,x2265)) % 153.71/153.55 [227]~E(x2271,x2272)+E(f693(x2273,x2274,x2271,x2275),f693(x2273,x2274,x2272,x2275)) % 153.71/153.55 [228]~E(x2281,x2282)+E(f693(x2283,x2284,x2285,x2281),f693(x2283,x2284,x2285,x2282)) % 153.71/153.55 [229]~E(x2291,x2292)+E(f191(x2291,x2293),f191(x2292,x2293)) % 153.71/153.55 [230]~E(x2301,x2302)+E(f191(x2303,x2301),f191(x2303,x2302)) % 153.71/153.55 [231]~E(x2311,x2312)+E(f768(x2311,x2313,x2314),f768(x2312,x2313,x2314)) % 153.71/153.55 [232]~E(x2321,x2322)+E(f768(x2323,x2321,x2324),f768(x2323,x2322,x2324)) % 153.71/153.55 [233]~E(x2331,x2332)+E(f768(x2333,x2334,x2331),f768(x2333,x2334,x2332)) % 153.71/153.55 [234]~E(x2341,x2342)+E(f612(x2341,x2343,x2344,x2345),f612(x2342,x2343,x2344,x2345)) % 153.71/153.55 [235]~E(x2351,x2352)+E(f612(x2353,x2351,x2354,x2355),f612(x2353,x2352,x2354,x2355)) % 153.71/153.55 [236]~E(x2361,x2362)+E(f612(x2363,x2364,x2361,x2365),f612(x2363,x2364,x2362,x2365)) % 153.71/153.55 [237]~E(x2371,x2372)+E(f612(x2373,x2374,x2375,x2371),f612(x2373,x2374,x2375,x2372)) % 153.71/153.55 [238]~E(x2381,x2382)+E(f153(x2381),f153(x2382)) % 153.71/153.55 [239]~E(x2391,x2392)+E(f808(x2391,x2393,x2394),f808(x2392,x2393,x2394)) % 153.71/153.55 [240]~E(x2401,x2402)+E(f808(x2403,x2401,x2404),f808(x2403,x2402,x2404)) % 153.71/153.55 [241]~E(x2411,x2412)+E(f808(x2413,x2414,x2411),f808(x2413,x2414,x2412)) % 153.71/153.55 [242]~E(x2421,x2422)+E(f295(x2421,x2423),f295(x2422,x2423)) % 153.71/153.55 [243]~E(x2431,x2432)+E(f295(x2433,x2431),f295(x2433,x2432)) % 153.71/153.55 [244]~E(x2441,x2442)+E(f644(x2441,x2443,x2444,x2445,x2446),f644(x2442,x2443,x2444,x2445,x2446)) % 153.71/153.55 [245]~E(x2451,x2452)+E(f644(x2453,x2451,x2454,x2455,x2456),f644(x2453,x2452,x2454,x2455,x2456)) % 153.71/153.55 [246]~E(x2461,x2462)+E(f644(x2463,x2464,x2461,x2465,x2466),f644(x2463,x2464,x2462,x2465,x2466)) % 153.71/153.55 [247]~E(x2471,x2472)+E(f644(x2473,x2474,x2475,x2471,x2476),f644(x2473,x2474,x2475,x2472,x2476)) % 153.71/153.55 [248]~E(x2481,x2482)+E(f644(x2483,x2484,x2485,x2486,x2481),f644(x2483,x2484,x2485,x2486,x2482)) % 153.71/153.55 [249]~E(x2491,x2492)+E(f158(x2491,x2493,x2494),f158(x2492,x2493,x2494)) % 153.71/153.55 [250]~E(x2501,x2502)+E(f158(x2503,x2501,x2504),f158(x2503,x2502,x2504)) % 153.71/153.55 [251]~E(x2511,x2512)+E(f158(x2513,x2514,x2511),f158(x2513,x2514,x2512)) % 153.71/153.55 [252]~E(x2521,x2522)+E(f556(x2521,x2523,x2524,x2525,x2526,x2527,x2528),f556(x2522,x2523,x2524,x2525,x2526,x2527,x2528)) % 153.71/153.55 [253]~E(x2531,x2532)+E(f556(x2533,x2531,x2534,x2535,x2536,x2537,x2538),f556(x2533,x2532,x2534,x2535,x2536,x2537,x2538)) % 153.71/153.55 [254]~E(x2541,x2542)+E(f556(x2543,x2544,x2541,x2545,x2546,x2547,x2548),f556(x2543,x2544,x2542,x2545,x2546,x2547,x2548)) % 153.71/153.55 [255]~E(x2551,x2552)+E(f556(x2553,x2554,x2555,x2551,x2556,x2557,x2558),f556(x2553,x2554,x2555,x2552,x2556,x2557,x2558)) % 153.71/153.55 [256]~E(x2561,x2562)+E(f556(x2563,x2564,x2565,x2566,x2561,x2567,x2568),f556(x2563,x2564,x2565,x2566,x2562,x2567,x2568)) % 153.71/153.55 [257]~E(x2571,x2572)+E(f556(x2573,x2574,x2575,x2576,x2577,x2571,x2578),f556(x2573,x2574,x2575,x2576,x2577,x2572,x2578)) % 153.71/153.55 [258]~E(x2581,x2582)+E(f556(x2583,x2584,x2585,x2586,x2587,x2588,x2581),f556(x2583,x2584,x2585,x2586,x2587,x2588,x2582)) % 153.71/153.55 [259]~E(x2591,x2592)+E(f140(x2591,x2593,x2594,x2595),f140(x2592,x2593,x2594,x2595)) % 153.71/153.55 [260]~E(x2601,x2602)+E(f140(x2603,x2601,x2604,x2605),f140(x2603,x2602,x2604,x2605)) % 153.71/153.55 [261]~E(x2611,x2612)+E(f140(x2613,x2614,x2611,x2615),f140(x2613,x2614,x2612,x2615)) % 153.71/153.55 [262]~E(x2621,x2622)+E(f140(x2623,x2624,x2625,x2621),f140(x2623,x2624,x2625,x2622)) % 153.71/153.55 [263]~E(x2631,x2632)+E(f13(x2631,x2633,x2634),f13(x2632,x2633,x2634)) % 153.71/153.55 [264]~E(x2641,x2642)+E(f13(x2643,x2641,x2644),f13(x2643,x2642,x2644)) % 153.71/153.55 [265]~E(x2651,x2652)+E(f13(x2653,x2654,x2651),f13(x2653,x2654,x2652)) % 153.71/153.55 [266]~E(x2661,x2662)+E(f675(x2661,x2663),f675(x2662,x2663)) % 153.71/153.55 [267]~E(x2671,x2672)+E(f675(x2673,x2671),f675(x2673,x2672)) % 153.71/153.55 [268]~E(x2681,x2682)+E(f272(x2681,x2683,x2684),f272(x2682,x2683,x2684)) % 153.71/153.55 [269]~E(x2691,x2692)+E(f272(x2693,x2691,x2694),f272(x2693,x2692,x2694)) % 153.71/153.55 [270]~E(x2701,x2702)+E(f272(x2703,x2704,x2701),f272(x2703,x2704,x2702)) % 153.71/153.55 [271]~E(x2711,x2712)+E(f712(x2711,x2713,x2714),f712(x2712,x2713,x2714)) % 153.71/153.55 [272]~E(x2721,x2722)+E(f712(x2723,x2721,x2724),f712(x2723,x2722,x2724)) % 153.71/153.55 [273]~E(x2731,x2732)+E(f712(x2733,x2734,x2731),f712(x2733,x2734,x2732)) % 153.71/153.55 [274]~E(x2741,x2742)+E(f35(x2741,x2743),f35(x2742,x2743)) % 153.71/153.55 [275]~E(x2751,x2752)+E(f35(x2753,x2751),f35(x2753,x2752)) % 153.71/153.55 [276]~E(x2761,x2762)+E(f113(x2761,x2763),f113(x2762,x2763)) % 153.71/153.55 [277]~E(x2771,x2772)+E(f113(x2773,x2771),f113(x2773,x2772)) % 153.71/153.55 [278]~E(x2781,x2782)+E(f783(x2781,x2783,x2784),f783(x2782,x2783,x2784)) % 153.71/153.55 [279]~E(x2791,x2792)+E(f783(x2793,x2791,x2794),f783(x2793,x2792,x2794)) % 153.71/153.55 [280]~E(x2801,x2802)+E(f783(x2803,x2804,x2801),f783(x2803,x2804,x2802)) % 153.71/153.55 [281]~E(x2811,x2812)+E(f797(x2811,x2813,x2814,x2815),f797(x2812,x2813,x2814,x2815)) % 153.71/153.55 [282]~E(x2821,x2822)+E(f797(x2823,x2821,x2824,x2825),f797(x2823,x2822,x2824,x2825)) % 153.71/153.55 [283]~E(x2831,x2832)+E(f797(x2833,x2834,x2831,x2835),f797(x2833,x2834,x2832,x2835)) % 153.71/153.55 [284]~E(x2841,x2842)+E(f797(x2843,x2844,x2845,x2841),f797(x2843,x2844,x2845,x2842)) % 153.71/153.55 [285]~E(x2851,x2852)+E(f137(x2851,x2853),f137(x2852,x2853)) % 153.71/153.55 [286]~E(x2861,x2862)+E(f137(x2863,x2861),f137(x2863,x2862)) % 153.71/153.55 [287]~E(x2871,x2872)+E(f144(x2871,x2873),f144(x2872,x2873)) % 153.71/153.55 [288]~E(x2881,x2882)+E(f144(x2883,x2881),f144(x2883,x2882)) % 153.71/153.55 [289]~E(x2891,x2892)+E(f180(x2891),f180(x2892)) % 153.71/153.55 [290]~E(x2901,x2902)+E(f393(x2901,x2903),f393(x2902,x2903)) % 153.71/153.55 [291]~E(x2911,x2912)+E(f393(x2913,x2911),f393(x2913,x2912)) % 153.71/153.55 [292]~E(x2921,x2922)+E(f114(x2921),f114(x2922)) % 153.71/153.55 [293]~E(x2931,x2932)+E(f440(x2931,x2933,x2934,x2935,x2936,x2937,x2938),f440(x2932,x2933,x2934,x2935,x2936,x2937,x2938)) % 153.71/153.55 [294]~E(x2941,x2942)+E(f440(x2943,x2941,x2944,x2945,x2946,x2947,x2948),f440(x2943,x2942,x2944,x2945,x2946,x2947,x2948)) % 153.71/153.55 [295]~E(x2951,x2952)+E(f440(x2953,x2954,x2951,x2955,x2956,x2957,x2958),f440(x2953,x2954,x2952,x2955,x2956,x2957,x2958)) % 153.71/153.55 [296]~E(x2961,x2962)+E(f440(x2963,x2964,x2965,x2961,x2966,x2967,x2968),f440(x2963,x2964,x2965,x2962,x2966,x2967,x2968)) % 153.71/153.55 [297]~E(x2971,x2972)+E(f440(x2973,x2974,x2975,x2976,x2971,x2977,x2978),f440(x2973,x2974,x2975,x2976,x2972,x2977,x2978)) % 153.71/153.55 [298]~E(x2981,x2982)+E(f440(x2983,x2984,x2985,x2986,x2987,x2981,x2988),f440(x2983,x2984,x2985,x2986,x2987,x2982,x2988)) % 153.71/153.55 [299]~E(x2991,x2992)+E(f440(x2993,x2994,x2995,x2996,x2997,x2998,x2991),f440(x2993,x2994,x2995,x2996,x2997,x2998,x2992)) % 153.71/153.55 [300]~E(x3001,x3002)+E(f294(x3001),f294(x3002)) % 153.71/153.55 [301]~E(x3011,x3012)+E(f45(x3011,x3013),f45(x3012,x3013)) % 153.71/153.55 [302]~E(x3021,x3022)+E(f45(x3023,x3021),f45(x3023,x3022)) % 153.71/153.55 [303]~E(x3031,x3032)+E(f48(x3031,x3033),f48(x3032,x3033)) % 153.71/153.55 [304]~E(x3041,x3042)+E(f48(x3043,x3041),f48(x3043,x3042)) % 153.71/153.55 [305]~E(x3051,x3052)+E(f109(x3051),f109(x3052)) % 153.71/153.55 [306]~E(x3061,x3062)+E(f407(x3061,x3063,x3064),f407(x3062,x3063,x3064)) % 153.71/153.55 [307]~E(x3071,x3072)+E(f407(x3073,x3071,x3074),f407(x3073,x3072,x3074)) % 153.71/153.55 [308]~E(x3081,x3082)+E(f407(x3083,x3084,x3081),f407(x3083,x3084,x3082)) % 153.71/153.55 [309]~E(x3091,x3092)+E(f150(x3091),f150(x3092)) % 153.71/153.55 [310]~E(x3101,x3102)+E(f309(x3101,x3103,x3104,x3105),f309(x3102,x3103,x3104,x3105)) % 153.71/153.55 [311]~E(x3111,x3112)+E(f309(x3113,x3111,x3114,x3115),f309(x3113,x3112,x3114,x3115)) % 153.71/153.55 [312]~E(x3121,x3122)+E(f309(x3123,x3124,x3121,x3125),f309(x3123,x3124,x3122,x3125)) % 153.71/153.55 [313]~E(x3131,x3132)+E(f309(x3133,x3134,x3135,x3131),f309(x3133,x3134,x3135,x3132)) % 153.71/153.55 [314]~E(x3141,x3142)+E(f16(x3141,x3143),f16(x3142,x3143)) % 153.71/153.55 [315]~E(x3151,x3152)+E(f16(x3153,x3151),f16(x3153,x3152)) % 153.71/153.55 [316]~E(x3161,x3162)+E(f406(x3161,x3163,x3164,x3165),f406(x3162,x3163,x3164,x3165)) % 153.71/153.55 [317]~E(x3171,x3172)+E(f406(x3173,x3171,x3174,x3175),f406(x3173,x3172,x3174,x3175)) % 153.71/153.55 [318]~E(x3181,x3182)+E(f406(x3183,x3184,x3181,x3185),f406(x3183,x3184,x3182,x3185)) % 153.71/153.55 [319]~E(x3191,x3192)+E(f406(x3193,x3194,x3195,x3191),f406(x3193,x3194,x3195,x3192)) % 153.71/153.55 [320]~E(x3201,x3202)+E(f773(x3201,x3203,x3204),f773(x3202,x3203,x3204)) % 153.71/153.55 [321]~E(x3211,x3212)+E(f773(x3213,x3211,x3214),f773(x3213,x3212,x3214)) % 153.71/153.55 [322]~E(x3221,x3222)+E(f773(x3223,x3224,x3221),f773(x3223,x3224,x3222)) % 153.71/153.55 [323]~E(x3231,x3232)+E(f71(x3231,x3233,x3234,x3235,x3236),f71(x3232,x3233,x3234,x3235,x3236)) % 153.71/153.55 [324]~E(x3241,x3242)+E(f71(x3243,x3241,x3244,x3245,x3246),f71(x3243,x3242,x3244,x3245,x3246)) % 153.71/153.55 [325]~E(x3251,x3252)+E(f71(x3253,x3254,x3251,x3255,x3256),f71(x3253,x3254,x3252,x3255,x3256)) % 153.71/153.55 [326]~E(x3261,x3262)+E(f71(x3263,x3264,x3265,x3261,x3266),f71(x3263,x3264,x3265,x3262,x3266)) % 153.71/153.55 [327]~E(x3271,x3272)+E(f71(x3273,x3274,x3275,x3276,x3271),f71(x3273,x3274,x3275,x3276,x3272)) % 153.71/153.55 [328]~E(x3281,x3282)+E(f492(x3281,x3283,x3284,x3285,x3286),f492(x3282,x3283,x3284,x3285,x3286)) % 153.71/153.55 [329]~E(x3291,x3292)+E(f492(x3293,x3291,x3294,x3295,x3296),f492(x3293,x3292,x3294,x3295,x3296)) % 153.71/153.55 [330]~E(x3301,x3302)+E(f492(x3303,x3304,x3301,x3305,x3306),f492(x3303,x3304,x3302,x3305,x3306)) % 153.71/153.55 [331]~E(x3311,x3312)+E(f492(x3313,x3314,x3315,x3311,x3316),f492(x3313,x3314,x3315,x3312,x3316)) % 153.71/153.55 [332]~E(x3321,x3322)+E(f492(x3323,x3324,x3325,x3326,x3321),f492(x3323,x3324,x3325,x3326,x3322)) % 153.71/153.55 [333]~E(x3331,x3332)+E(f166(x3331,x3333,x3334,x3335),f166(x3332,x3333,x3334,x3335)) % 153.71/153.55 [334]~E(x3341,x3342)+E(f166(x3343,x3341,x3344,x3345),f166(x3343,x3342,x3344,x3345)) % 153.71/153.55 [335]~E(x3351,x3352)+E(f166(x3353,x3354,x3351,x3355),f166(x3353,x3354,x3352,x3355)) % 153.71/153.55 [336]~E(x3361,x3362)+E(f166(x3363,x3364,x3365,x3361),f166(x3363,x3364,x3365,x3362)) % 153.71/153.55 [337]~E(x3371,x3372)+E(f151(x3371),f151(x3372)) % 153.71/153.55 [338]~E(x3381,x3382)+E(f70(x3381,x3383,x3384),f70(x3382,x3383,x3384)) % 153.71/153.55 [339]~E(x3391,x3392)+E(f70(x3393,x3391,x3394),f70(x3393,x3392,x3394)) % 153.71/153.55 [340]~E(x3401,x3402)+E(f70(x3403,x3404,x3401),f70(x3403,x3404,x3402)) % 153.71/153.55 [341]~E(x3411,x3412)+E(f248(x3411,x3413,x3414,x3415),f248(x3412,x3413,x3414,x3415)) % 153.71/153.55 [342]~E(x3421,x3422)+E(f248(x3423,x3421,x3424,x3425),f248(x3423,x3422,x3424,x3425)) % 153.71/153.55 [343]~E(x3431,x3432)+E(f248(x3433,x3434,x3431,x3435),f248(x3433,x3434,x3432,x3435)) % 153.71/153.55 [344]~E(x3441,x3442)+E(f248(x3443,x3444,x3445,x3441),f248(x3443,x3444,x3445,x3442)) % 153.71/153.55 [345]~E(x3451,x3452)+E(f162(x3451,x3453,x3454),f162(x3452,x3453,x3454)) % 153.71/153.55 [346]~E(x3461,x3462)+E(f162(x3463,x3461,x3464),f162(x3463,x3462,x3464)) % 153.71/153.55 [347]~E(x3471,x3472)+E(f162(x3473,x3474,x3471),f162(x3473,x3474,x3472)) % 153.71/153.55 [348]~E(x3481,x3482)+E(f131(x3481,x3483),f131(x3482,x3483)) % 153.71/153.55 [349]~E(x3491,x3492)+E(f131(x3493,x3491),f131(x3493,x3492)) % 153.71/153.55 [350]~E(x3501,x3502)+E(f724(x3501,x3503,x3504,x3505),f724(x3502,x3503,x3504,x3505)) % 153.71/153.55 [351]~E(x3511,x3512)+E(f724(x3513,x3511,x3514,x3515),f724(x3513,x3512,x3514,x3515)) % 153.71/153.55 [352]~E(x3521,x3522)+E(f724(x3523,x3524,x3521,x3525),f724(x3523,x3524,x3522,x3525)) % 153.71/153.55 [353]~E(x3531,x3532)+E(f724(x3533,x3534,x3535,x3531),f724(x3533,x3534,x3535,x3532)) % 153.71/153.55 [354]~E(x3541,x3542)+E(f160(x3541,x3543),f160(x3542,x3543)) % 153.71/153.55 [355]~E(x3551,x3552)+E(f160(x3553,x3551),f160(x3553,x3552)) % 153.71/153.55 [356]~E(x3561,x3562)+E(f340(x3561,x3563,x3564,x3565),f340(x3562,x3563,x3564,x3565)) % 153.71/153.55 [357]~E(x3571,x3572)+E(f340(x3573,x3571,x3574,x3575),f340(x3573,x3572,x3574,x3575)) % 153.71/153.55 [358]~E(x3581,x3582)+E(f340(x3583,x3584,x3581,x3585),f340(x3583,x3584,x3582,x3585)) % 153.71/153.55 [359]~E(x3591,x3592)+E(f340(x3593,x3594,x3595,x3591),f340(x3593,x3594,x3595,x3592)) % 153.71/153.55 [360]~E(x3601,x3602)+E(f28(x3601,x3603),f28(x3602,x3603)) % 153.71/153.55 [361]~E(x3611,x3612)+E(f28(x3613,x3611),f28(x3613,x3612)) % 153.71/153.55 [362]~E(x3621,x3622)+E(f139(x3621,x3623,x3624),f139(x3622,x3623,x3624)) % 153.71/153.55 [363]~E(x3631,x3632)+E(f139(x3633,x3631,x3634),f139(x3633,x3632,x3634)) % 153.71/153.55 [364]~E(x3641,x3642)+E(f139(x3643,x3644,x3641),f139(x3643,x3644,x3642)) % 153.71/153.55 [365]~E(x3651,x3652)+E(f244(x3651,x3653,x3654,x3655),f244(x3652,x3653,x3654,x3655)) % 153.71/153.55 [366]~E(x3661,x3662)+E(f244(x3663,x3661,x3664,x3665),f244(x3663,x3662,x3664,x3665)) % 153.71/153.55 [367]~E(x3671,x3672)+E(f244(x3673,x3674,x3671,x3675),f244(x3673,x3674,x3672,x3675)) % 153.71/153.55 [368]~E(x3681,x3682)+E(f244(x3683,x3684,x3685,x3681),f244(x3683,x3684,x3685,x3682)) % 153.71/153.55 [369]~E(x3691,x3692)+E(f812(x3691,x3693,x3694),f812(x3692,x3693,x3694)) % 153.71/153.55 [370]~E(x3701,x3702)+E(f812(x3703,x3701,x3704),f812(x3703,x3702,x3704)) % 153.71/153.55 [371]~E(x3711,x3712)+E(f812(x3713,x3714,x3711),f812(x3713,x3714,x3712)) % 153.71/153.55 [372]~E(x3721,x3722)+E(f319(x3721,x3723),f319(x3722,x3723)) % 153.71/153.55 [373]~E(x3731,x3732)+E(f319(x3733,x3731),f319(x3733,x3732)) % 153.71/153.55 [374]~E(x3741,x3742)+E(f14(x3741,x3743,x3744),f14(x3742,x3743,x3744)) % 153.71/153.55 [375]~E(x3751,x3752)+E(f14(x3753,x3751,x3754),f14(x3753,x3752,x3754)) % 153.71/153.55 [376]~E(x3761,x3762)+E(f14(x3763,x3764,x3761),f14(x3763,x3764,x3762)) % 153.71/153.55 [377]~E(x3771,x3772)+E(f320(x3771,x3773),f320(x3772,x3773)) % 153.71/153.55 [378]~E(x3781,x3782)+E(f320(x3783,x3781),f320(x3783,x3782)) % 153.71/153.55 [379]~E(x3791,x3792)+E(f772(x3791,x3793,x3794),f772(x3792,x3793,x3794)) % 153.71/153.55 [380]~E(x3801,x3802)+E(f772(x3803,x3801,x3804),f772(x3803,x3802,x3804)) % 153.71/153.55 [381]~E(x3811,x3812)+E(f772(x3813,x3814,x3811),f772(x3813,x3814,x3812)) % 153.71/153.55 [382]~E(x3821,x3822)+E(f508(x3821,x3823,x3824,x3825),f508(x3822,x3823,x3824,x3825)) % 153.71/153.55 [383]~E(x3831,x3832)+E(f508(x3833,x3831,x3834,x3835),f508(x3833,x3832,x3834,x3835)) % 153.71/153.55 [384]~E(x3841,x3842)+E(f508(x3843,x3844,x3841,x3845),f508(x3843,x3844,x3842,x3845)) % 153.71/153.55 [385]~E(x3851,x3852)+E(f508(x3853,x3854,x3855,x3851),f508(x3853,x3854,x3855,x3852)) % 153.71/153.55 [386]~E(x3861,x3862)+E(f316(x3861,x3863),f316(x3862,x3863)) % 153.71/153.55 [387]~E(x3871,x3872)+E(f316(x3873,x3871),f316(x3873,x3872)) % 153.71/153.55 [388]~E(x3881,x3882)+E(f155(x3881),f155(x3882)) % 153.71/153.55 [389]~E(x3891,x3892)+E(f413(x3891,x3893,x3894,x3895,x3896,x3897,x3898),f413(x3892,x3893,x3894,x3895,x3896,x3897,x3898)) % 153.71/153.55 [390]~E(x3901,x3902)+E(f413(x3903,x3901,x3904,x3905,x3906,x3907,x3908),f413(x3903,x3902,x3904,x3905,x3906,x3907,x3908)) % 153.71/153.55 [391]~E(x3911,x3912)+E(f413(x3913,x3914,x3911,x3915,x3916,x3917,x3918),f413(x3913,x3914,x3912,x3915,x3916,x3917,x3918)) % 153.71/153.55 [392]~E(x3921,x3922)+E(f413(x3923,x3924,x3925,x3921,x3926,x3927,x3928),f413(x3923,x3924,x3925,x3922,x3926,x3927,x3928)) % 153.71/153.55 [393]~E(x3931,x3932)+E(f413(x3933,x3934,x3935,x3936,x3931,x3937,x3938),f413(x3933,x3934,x3935,x3936,x3932,x3937,x3938)) % 153.71/153.55 [394]~E(x3941,x3942)+E(f413(x3943,x3944,x3945,x3946,x3947,x3941,x3948),f413(x3943,x3944,x3945,x3946,x3947,x3942,x3948)) % 153.71/153.55 [395]~E(x3951,x3952)+E(f413(x3953,x3954,x3955,x3956,x3957,x3958,x3951),f413(x3953,x3954,x3955,x3956,x3957,x3958,x3952)) % 153.71/153.55 [396]~E(x3961,x3962)+E(f434(x3961,x3963,x3964,x3965),f434(x3962,x3963,x3964,x3965)) % 153.71/153.55 [397]~E(x3971,x3972)+E(f434(x3973,x3971,x3974,x3975),f434(x3973,x3972,x3974,x3975)) % 153.71/153.55 [398]~E(x3981,x3982)+E(f434(x3983,x3984,x3981,x3985),f434(x3983,x3984,x3982,x3985)) % 153.71/153.55 [399]~E(x3991,x3992)+E(f434(x3993,x3994,x3995,x3991),f434(x3993,x3994,x3995,x3992)) % 153.71/153.55 [400]~E(x4001,x4002)+E(f498(x4001,x4003),f498(x4002,x4003)) % 153.71/153.55 [401]~E(x4011,x4012)+E(f498(x4013,x4011),f498(x4013,x4012)) % 153.71/153.55 [402]~E(x4021,x4022)+E(f76(x4021,x4023),f76(x4022,x4023)) % 153.71/153.55 [403]~E(x4031,x4032)+E(f76(x4033,x4031),f76(x4033,x4032)) % 153.71/153.55 [404]~E(x4041,x4042)+E(f124(x4041),f124(x4042)) % 153.71/153.55 [405]~E(x4051,x4052)+E(f629(x4051,x4053,x4054,x4055,x4056,x4057,x4058),f629(x4052,x4053,x4054,x4055,x4056,x4057,x4058)) % 153.71/153.55 [406]~E(x4061,x4062)+E(f629(x4063,x4061,x4064,x4065,x4066,x4067,x4068),f629(x4063,x4062,x4064,x4065,x4066,x4067,x4068)) % 153.71/153.55 [407]~E(x4071,x4072)+E(f629(x4073,x4074,x4071,x4075,x4076,x4077,x4078),f629(x4073,x4074,x4072,x4075,x4076,x4077,x4078)) % 153.71/153.55 [408]~E(x4081,x4082)+E(f629(x4083,x4084,x4085,x4081,x4086,x4087,x4088),f629(x4083,x4084,x4085,x4082,x4086,x4087,x4088)) % 153.71/153.55 [409]~E(x4091,x4092)+E(f629(x4093,x4094,x4095,x4096,x4091,x4097,x4098),f629(x4093,x4094,x4095,x4096,x4092,x4097,x4098)) % 153.71/153.55 [410]~E(x4101,x4102)+E(f629(x4103,x4104,x4105,x4106,x4107,x4101,x4108),f629(x4103,x4104,x4105,x4106,x4107,x4102,x4108)) % 153.71/153.55 [411]~E(x4111,x4112)+E(f629(x4113,x4114,x4115,x4116,x4117,x4118,x4111),f629(x4113,x4114,x4115,x4116,x4117,x4118,x4112)) % 153.71/153.55 [412]~E(x4121,x4122)+E(f775(x4121,x4123,x4124),f775(x4122,x4123,x4124)) % 153.71/153.55 [413]~E(x4131,x4132)+E(f775(x4133,x4131,x4134),f775(x4133,x4132,x4134)) % 153.71/153.55 [414]~E(x4141,x4142)+E(f775(x4143,x4144,x4141),f775(x4143,x4144,x4142)) % 153.71/153.55 [415]~E(x4151,x4152)+E(f32(x4151,x4153,x4154),f32(x4152,x4153,x4154)) % 153.71/153.55 [416]~E(x4161,x4162)+E(f32(x4163,x4161,x4164),f32(x4163,x4162,x4164)) % 153.71/153.55 [417]~E(x4171,x4172)+E(f32(x4173,x4174,x4171),f32(x4173,x4174,x4172)) % 153.71/153.55 [418]~E(x4181,x4182)+E(f261(x4181,x4183),f261(x4182,x4183)) % 153.71/153.55 [419]~E(x4191,x4192)+E(f261(x4193,x4191),f261(x4193,x4192)) % 153.71/153.55 [420]~E(x4201,x4202)+E(f829(x4201,x4203,x4204,x4205,x4206),f829(x4202,x4203,x4204,x4205,x4206)) % 153.71/153.55 [421]~E(x4211,x4212)+E(f829(x4213,x4211,x4214,x4215,x4216),f829(x4213,x4212,x4214,x4215,x4216)) % 153.71/153.55 [422]~E(x4221,x4222)+E(f829(x4223,x4224,x4221,x4225,x4226),f829(x4223,x4224,x4222,x4225,x4226)) % 153.71/153.55 [423]~E(x4231,x4232)+E(f829(x4233,x4234,x4235,x4231,x4236),f829(x4233,x4234,x4235,x4232,x4236)) % 153.71/153.55 [424]~E(x4241,x4242)+E(f829(x4243,x4244,x4245,x4246,x4241),f829(x4243,x4244,x4245,x4246,x4242)) % 153.71/153.55 [425]~E(x4251,x4252)+E(f255(x4251,x4253),f255(x4252,x4253)) % 153.71/153.55 [426]~E(x4261,x4262)+E(f255(x4263,x4261),f255(x4263,x4262)) % 153.71/153.55 [427]~E(x4271,x4272)+E(f519(x4271,x4273,x4274,x4275,x4276),f519(x4272,x4273,x4274,x4275,x4276)) % 153.71/153.55 [428]~E(x4281,x4282)+E(f519(x4283,x4281,x4284,x4285,x4286),f519(x4283,x4282,x4284,x4285,x4286)) % 153.71/153.55 [429]~E(x4291,x4292)+E(f519(x4293,x4294,x4291,x4295,x4296),f519(x4293,x4294,x4292,x4295,x4296)) % 153.71/153.55 [430]~E(x4301,x4302)+E(f519(x4303,x4304,x4305,x4301,x4306),f519(x4303,x4304,x4305,x4302,x4306)) % 153.71/153.55 [431]~E(x4311,x4312)+E(f519(x4313,x4314,x4315,x4316,x4311),f519(x4313,x4314,x4315,x4316,x4312)) % 153.71/153.55 [432]~E(x4321,x4322)+E(f89(x4321,x4323),f89(x4322,x4323)) % 153.71/153.55 [433]~E(x4331,x4332)+E(f89(x4333,x4331),f89(x4333,x4332)) % 153.71/153.55 [434]~E(x4341,x4342)+E(f608(x4341,x4343,x4344),f608(x4342,x4343,x4344)) % 153.71/153.55 [435]~E(x4351,x4352)+E(f608(x4353,x4351,x4354),f608(x4353,x4352,x4354)) % 153.71/153.55 [436]~E(x4361,x4362)+E(f608(x4363,x4364,x4361),f608(x4363,x4364,x4362)) % 153.71/153.55 [437]~E(x4371,x4372)+E(f94(x4371,x4373),f94(x4372,x4373)) % 153.71/153.55 [438]~E(x4381,x4382)+E(f94(x4383,x4381),f94(x4383,x4382)) % 153.71/153.55 [439]~E(x4391,x4392)+E(f159(x4391,x4393),f159(x4392,x4393)) % 153.71/153.55 [440]~E(x4401,x4402)+E(f159(x4403,x4401),f159(x4403,x4402)) % 153.71/153.55 [441]~E(x4411,x4412)+E(f156(x4411,x4413,x4414),f156(x4412,x4413,x4414)) % 153.71/153.55 [442]~E(x4421,x4422)+E(f156(x4423,x4421,x4424),f156(x4423,x4422,x4424)) % 153.71/153.55 [443]~E(x4431,x4432)+E(f156(x4433,x4434,x4431),f156(x4433,x4434,x4432)) % 153.71/153.55 [444]~E(x4441,x4442)+E(f68(x4441,x4443),f68(x4442,x4443)) % 153.71/153.55 [445]~E(x4451,x4452)+E(f68(x4453,x4451),f68(x4453,x4452)) % 153.71/153.55 [446]~E(x4461,x4462)+E(f287(x4461,x4463,x4464,x4465,x4466),f287(x4462,x4463,x4464,x4465,x4466)) % 153.71/153.55 [447]~E(x4471,x4472)+E(f287(x4473,x4471,x4474,x4475,x4476),f287(x4473,x4472,x4474,x4475,x4476)) % 153.71/153.55 [448]~E(x4481,x4482)+E(f287(x4483,x4484,x4481,x4485,x4486),f287(x4483,x4484,x4482,x4485,x4486)) % 153.71/153.55 [449]~E(x4491,x4492)+E(f287(x4493,x4494,x4495,x4491,x4496),f287(x4493,x4494,x4495,x4492,x4496)) % 153.71/153.55 [450]~E(x4501,x4502)+E(f287(x4503,x4504,x4505,x4506,x4501),f287(x4503,x4504,x4505,x4506,x4502)) % 153.71/153.55 [451]~E(x4511,x4512)+E(f781(x4511,x4513,x4514),f781(x4512,x4513,x4514)) % 153.71/153.55 [452]~E(x4521,x4522)+E(f781(x4523,x4521,x4524),f781(x4523,x4522,x4524)) % 153.71/153.55 [453]~E(x4531,x4532)+E(f781(x4533,x4534,x4531),f781(x4533,x4534,x4532)) % 153.71/153.55 [454]~E(x4541,x4542)+E(f33(x4541,x4543,x4544),f33(x4542,x4543,x4544)) % 153.71/153.55 [455]~E(x4551,x4552)+E(f33(x4553,x4551,x4554),f33(x4553,x4552,x4554)) % 153.71/153.55 [456]~E(x4561,x4562)+E(f33(x4563,x4564,x4561),f33(x4563,x4564,x4562)) % 153.71/153.55 [457]~E(x4571,x4572)+E(f293(x4571,x4573,x4574),f293(x4572,x4573,x4574)) % 153.71/153.55 [458]~E(x4581,x4582)+E(f293(x4583,x4581,x4584),f293(x4583,x4582,x4584)) % 153.71/153.55 [459]~E(x4591,x4592)+E(f293(x4593,x4594,x4591),f293(x4593,x4594,x4592)) % 153.71/153.55 [460]~E(x4601,x4602)+E(f676(x4601,x4603,x4604,x4605),f676(x4602,x4603,x4604,x4605)) % 153.71/153.55 [461]~E(x4611,x4612)+E(f676(x4613,x4611,x4614,x4615),f676(x4613,x4612,x4614,x4615)) % 153.71/153.55 [462]~E(x4621,x4622)+E(f676(x4623,x4624,x4621,x4625),f676(x4623,x4624,x4622,x4625)) % 153.71/153.55 [463]~E(x4631,x4632)+E(f676(x4633,x4634,x4635,x4631),f676(x4633,x4634,x4635,x4632)) % 153.71/153.55 [464]~E(x4641,x4642)+E(f653(x4641,x4643,x4644),f653(x4642,x4643,x4644)) % 153.71/153.55 [465]~E(x4651,x4652)+E(f653(x4653,x4651,x4654),f653(x4653,x4652,x4654)) % 153.71/153.55 [466]~E(x4661,x4662)+E(f653(x4663,x4664,x4661),f653(x4663,x4664,x4662)) % 153.71/153.55 [467]~E(x4671,x4672)+E(f57(x4671,x4673),f57(x4672,x4673)) % 153.71/153.55 [468]~E(x4681,x4682)+E(f57(x4683,x4681),f57(x4683,x4682)) % 153.71/153.55 [469]~E(x4691,x4692)+E(f163(x4691,x4693),f163(x4692,x4693)) % 153.71/153.55 [470]~E(x4701,x4702)+E(f163(x4703,x4701),f163(x4703,x4702)) % 153.71/153.55 [471]~E(x4711,x4712)+E(f409(x4711,x4713,x4714,x4715),f409(x4712,x4713,x4714,x4715)) % 153.71/153.55 [472]~E(x4721,x4722)+E(f409(x4723,x4721,x4724,x4725),f409(x4723,x4722,x4724,x4725)) % 153.71/153.55 [473]~E(x4731,x4732)+E(f409(x4733,x4734,x4731,x4735),f409(x4733,x4734,x4732,x4735)) % 153.71/153.55 [474]~E(x4741,x4742)+E(f409(x4743,x4744,x4745,x4741),f409(x4743,x4744,x4745,x4742)) % 153.71/153.55 [475]~E(x4751,x4752)+E(f490(x4751,x4753,x4754,x4755,x4756,x4757,x4758),f490(x4752,x4753,x4754,x4755,x4756,x4757,x4758)) % 153.71/153.55 [476]~E(x4761,x4762)+E(f490(x4763,x4761,x4764,x4765,x4766,x4767,x4768),f490(x4763,x4762,x4764,x4765,x4766,x4767,x4768)) % 153.71/153.55 [477]~E(x4771,x4772)+E(f490(x4773,x4774,x4771,x4775,x4776,x4777,x4778),f490(x4773,x4774,x4772,x4775,x4776,x4777,x4778)) % 153.71/153.55 [478]~E(x4781,x4782)+E(f490(x4783,x4784,x4785,x4781,x4786,x4787,x4788),f490(x4783,x4784,x4785,x4782,x4786,x4787,x4788)) % 153.71/153.55 [479]~E(x4791,x4792)+E(f490(x4793,x4794,x4795,x4796,x4791,x4797,x4798),f490(x4793,x4794,x4795,x4796,x4792,x4797,x4798)) % 153.71/153.55 [480]~E(x4801,x4802)+E(f490(x4803,x4804,x4805,x4806,x4807,x4801,x4808),f490(x4803,x4804,x4805,x4806,x4807,x4802,x4808)) % 153.71/153.55 [481]~E(x4811,x4812)+E(f490(x4813,x4814,x4815,x4816,x4817,x4818,x4811),f490(x4813,x4814,x4815,x4816,x4817,x4818,x4812)) % 153.71/153.55 [482]~E(x4821,x4822)+E(f51(x4821),f51(x4822)) % 153.71/153.55 [483]~E(x4831,x4832)+E(f711(x4831,x4833),f711(x4832,x4833)) % 153.71/153.55 [484]~E(x4841,x4842)+E(f711(x4843,x4841),f711(x4843,x4842)) % 153.71/153.55 [485]~E(x4851,x4852)+E(f143(x4851,x4853),f143(x4852,x4853)) % 153.71/153.55 [486]~E(x4861,x4862)+E(f143(x4863,x4861),f143(x4863,x4862)) % 153.71/153.55 [487]~E(x4871,x4872)+E(f473(x4871,x4873,x4874,x4875,x4876),f473(x4872,x4873,x4874,x4875,x4876)) % 153.71/153.55 [488]~E(x4881,x4882)+E(f473(x4883,x4881,x4884,x4885,x4886),f473(x4883,x4882,x4884,x4885,x4886)) % 153.71/153.55 [489]~E(x4891,x4892)+E(f473(x4893,x4894,x4891,x4895,x4896),f473(x4893,x4894,x4892,x4895,x4896)) % 153.71/153.55 [490]~E(x4901,x4902)+E(f473(x4903,x4904,x4905,x4901,x4906),f473(x4903,x4904,x4905,x4902,x4906)) % 153.71/153.55 [491]~E(x4911,x4912)+E(f473(x4913,x4914,x4915,x4916,x4911),f473(x4913,x4914,x4915,x4916,x4912)) % 153.71/153.55 [492]~E(x4921,x4922)+E(f717(x4921,x4923,x4924,x4925),f717(x4922,x4923,x4924,x4925)) % 153.71/153.55 [493]~E(x4931,x4932)+E(f717(x4933,x4931,x4934,x4935),f717(x4933,x4932,x4934,x4935)) % 153.71/153.55 [494]~E(x4941,x4942)+E(f717(x4943,x4944,x4941,x4945),f717(x4943,x4944,x4942,x4945)) % 153.71/153.55 [495]~E(x4951,x4952)+E(f717(x4953,x4954,x4955,x4951),f717(x4953,x4954,x4955,x4952)) % 153.71/153.55 [496]~E(x4961,x4962)+E(f296(x4961),f296(x4962)) % 153.71/153.55 [497]~E(x4971,x4972)+E(f301(x4971,x4973),f301(x4972,x4973)) % 153.71/153.55 [498]~E(x4981,x4982)+E(f301(x4983,x4981),f301(x4983,x4982)) % 153.71/153.55 [499]~E(x4991,x4992)+E(f367(x4991,x4993,x4994,x4995),f367(x4992,x4993,x4994,x4995)) % 153.71/153.55 [500]~E(x5001,x5002)+E(f367(x5003,x5001,x5004,x5005),f367(x5003,x5002,x5004,x5005)) % 153.71/153.55 [501]~E(x5011,x5012)+E(f367(x5013,x5014,x5011,x5015),f367(x5013,x5014,x5012,x5015)) % 153.71/153.55 [502]~E(x5021,x5022)+E(f367(x5023,x5024,x5025,x5021),f367(x5023,x5024,x5025,x5022)) % 153.71/153.55 [503]~E(x5031,x5032)+E(f461(x5031,x5033,x5034),f461(x5032,x5033,x5034)) % 153.71/153.55 [504]~E(x5041,x5042)+E(f461(x5043,x5041,x5044),f461(x5043,x5042,x5044)) % 153.71/153.55 [505]~E(x5051,x5052)+E(f461(x5053,x5054,x5051),f461(x5053,x5054,x5052)) % 153.71/153.55 [506]~E(x5061,x5062)+E(f152(x5061,x5063,x5064),f152(x5062,x5063,x5064)) % 153.71/153.55 [507]~E(x5071,x5072)+E(f152(x5073,x5071,x5074),f152(x5073,x5072,x5074)) % 153.71/153.55 [508]~E(x5081,x5082)+E(f152(x5083,x5084,x5081),f152(x5083,x5084,x5082)) % 153.71/153.55 [509]~E(x5091,x5092)+E(f169(x5091,x5093),f169(x5092,x5093)) % 153.71/153.55 [510]~E(x5101,x5102)+E(f169(x5103,x5101),f169(x5103,x5102)) % 153.71/153.55 [511]~E(x5111,x5112)+E(f523(x5111,x5113,x5114,x5115,x5116),f523(x5112,x5113,x5114,x5115,x5116)) % 153.71/153.55 [512]~E(x5121,x5122)+E(f523(x5123,x5121,x5124,x5125,x5126),f523(x5123,x5122,x5124,x5125,x5126)) % 153.71/153.55 [513]~E(x5131,x5132)+E(f523(x5133,x5134,x5131,x5135,x5136),f523(x5133,x5134,x5132,x5135,x5136)) % 153.71/153.55 [514]~E(x5141,x5142)+E(f523(x5143,x5144,x5145,x5141,x5146),f523(x5143,x5144,x5145,x5142,x5146)) % 153.71/153.55 [515]~E(x5151,x5152)+E(f523(x5153,x5154,x5155,x5156,x5151),f523(x5153,x5154,x5155,x5156,x5152)) % 153.71/153.55 [516]~E(x5161,x5162)+E(f31(x5161,x5163,x5164),f31(x5162,x5163,x5164)) % 153.71/153.55 [517]~E(x5171,x5172)+E(f31(x5173,x5171,x5174),f31(x5173,x5172,x5174)) % 153.71/153.55 [518]~E(x5181,x5182)+E(f31(x5183,x5184,x5181),f31(x5183,x5184,x5182)) % 153.71/153.55 [519]~E(x5191,x5192)+E(f86(x5191,x5193),f86(x5192,x5193)) % 153.71/153.55 [520]~E(x5201,x5202)+E(f86(x5203,x5201),f86(x5203,x5202)) % 153.71/153.55 [521]~E(x5211,x5212)+E(f611(x5211,x5213,x5214,x5215,x5216),f611(x5212,x5213,x5214,x5215,x5216)) % 153.71/153.55 [522]~E(x5221,x5222)+E(f611(x5223,x5221,x5224,x5225,x5226),f611(x5223,x5222,x5224,x5225,x5226)) % 153.71/153.55 [523]~E(x5231,x5232)+E(f611(x5233,x5234,x5231,x5235,x5236),f611(x5233,x5234,x5232,x5235,x5236)) % 153.71/153.55 [524]~E(x5241,x5242)+E(f611(x5243,x5244,x5245,x5241,x5246),f611(x5243,x5244,x5245,x5242,x5246)) % 153.71/153.55 [525]~E(x5251,x5252)+E(f611(x5253,x5254,x5255,x5256,x5251),f611(x5253,x5254,x5255,x5256,x5252)) % 153.71/153.55 [526]~E(x5261,x5262)+E(f273(x5261,x5263),f273(x5262,x5263)) % 153.71/153.55 [527]~E(x5271,x5272)+E(f273(x5273,x5271),f273(x5273,x5272)) % 153.71/153.55 [528]~E(x5281,x5282)+E(f702(x5281,x5283,x5284,x5285,x5286),f702(x5282,x5283,x5284,x5285,x5286)) % 153.71/153.55 [529]~E(x5291,x5292)+E(f702(x5293,x5291,x5294,x5295,x5296),f702(x5293,x5292,x5294,x5295,x5296)) % 153.71/153.55 [530]~E(x5301,x5302)+E(f702(x5303,x5304,x5301,x5305,x5306),f702(x5303,x5304,x5302,x5305,x5306)) % 153.71/153.55 [531]~E(x5311,x5312)+E(f702(x5313,x5314,x5315,x5311,x5316),f702(x5313,x5314,x5315,x5312,x5316)) % 153.71/153.55 [532]~E(x5321,x5322)+E(f702(x5323,x5324,x5325,x5326,x5321),f702(x5323,x5324,x5325,x5326,x5322)) % 153.71/153.55 [533]~E(x5331,x5332)+E(f690(x5331,x5333,x5334,x5335,x5336),f690(x5332,x5333,x5334,x5335,x5336)) % 153.71/153.55 [534]~E(x5341,x5342)+E(f690(x5343,x5341,x5344,x5345,x5346),f690(x5343,x5342,x5344,x5345,x5346)) % 153.71/153.55 [535]~E(x5351,x5352)+E(f690(x5353,x5354,x5351,x5355,x5356),f690(x5353,x5354,x5352,x5355,x5356)) % 153.71/153.55 [536]~E(x5361,x5362)+E(f690(x5363,x5364,x5365,x5361,x5366),f690(x5363,x5364,x5365,x5362,x5366)) % 153.71/153.55 [537]~E(x5371,x5372)+E(f690(x5373,x5374,x5375,x5376,x5371),f690(x5373,x5374,x5375,x5376,x5372)) % 153.71/153.55 [538]~E(x5381,x5382)+E(f796(x5381,x5383,x5384),f796(x5382,x5383,x5384)) % 153.71/153.55 [539]~E(x5391,x5392)+E(f796(x5393,x5391,x5394),f796(x5393,x5392,x5394)) % 153.71/153.55 [540]~E(x5401,x5402)+E(f796(x5403,x5404,x5401),f796(x5403,x5404,x5402)) % 153.71/153.55 [541]~E(x5411,x5412)+E(f134(x5411,x5413,x5414),f134(x5412,x5413,x5414)) % 153.71/153.55 [542]~E(x5421,x5422)+E(f134(x5423,x5421,x5424),f134(x5423,x5422,x5424)) % 153.71/153.55 [543]~E(x5431,x5432)+E(f134(x5433,x5434,x5431),f134(x5433,x5434,x5432)) % 153.71/153.55 [544]~E(x5441,x5442)+E(f252(x5441),f252(x5442)) % 153.71/153.55 [545]~E(x5451,x5452)+E(f54(x5451,x5453),f54(x5452,x5453)) % 153.71/153.55 [546]~E(x5461,x5462)+E(f54(x5463,x5461),f54(x5463,x5462)) % 153.71/153.55 [547]~E(x5471,x5472)+E(f72(x5471,x5473,x5474),f72(x5472,x5473,x5474)) % 153.71/153.55 [548]~E(x5481,x5482)+E(f72(x5483,x5481,x5484),f72(x5483,x5482,x5484)) % 153.71/153.55 [549]~E(x5491,x5492)+E(f72(x5493,x5494,x5491),f72(x5493,x5494,x5492)) % 153.71/153.55 [550]~E(x5501,x5502)+E(f133(x5501,x5503),f133(x5502,x5503)) % 153.71/153.55 [551]~E(x5511,x5512)+E(f133(x5513,x5511),f133(x5513,x5512)) % 153.71/153.55 [552]~E(x5521,x5522)+E(f167(x5521,x5523,x5524),f167(x5522,x5523,x5524)) % 153.71/153.55 [553]~E(x5531,x5532)+E(f167(x5533,x5531,x5534),f167(x5533,x5532,x5534)) % 153.71/153.55 [554]~E(x5541,x5542)+E(f167(x5543,x5544,x5541),f167(x5543,x5544,x5542)) % 153.71/153.55 [555]~E(x5551,x5552)+E(f253(x5551),f253(x5552)) % 153.71/153.55 [556]~E(x5561,x5562)+E(f130(x5561,x5563),f130(x5562,x5563)) % 153.71/153.55 [557]~E(x5571,x5572)+E(f130(x5573,x5571),f130(x5573,x5572)) % 153.71/153.55 [558]~E(x5581,x5582)+E(f484(x5581,x5583,x5584,x5585,x5586,x5587,x5588),f484(x5582,x5583,x5584,x5585,x5586,x5587,x5588)) % 153.71/153.55 [559]~E(x5591,x5592)+E(f484(x5593,x5591,x5594,x5595,x5596,x5597,x5598),f484(x5593,x5592,x5594,x5595,x5596,x5597,x5598)) % 153.71/153.55 [560]~E(x5601,x5602)+E(f484(x5603,x5604,x5601,x5605,x5606,x5607,x5608),f484(x5603,x5604,x5602,x5605,x5606,x5607,x5608)) % 153.71/153.55 [561]~E(x5611,x5612)+E(f484(x5613,x5614,x5615,x5611,x5616,x5617,x5618),f484(x5613,x5614,x5615,x5612,x5616,x5617,x5618)) % 153.71/153.55 [562]~E(x5621,x5622)+E(f484(x5623,x5624,x5625,x5626,x5621,x5627,x5628),f484(x5623,x5624,x5625,x5626,x5622,x5627,x5628)) % 153.71/153.55 [563]~E(x5631,x5632)+E(f484(x5633,x5634,x5635,x5636,x5637,x5631,x5638),f484(x5633,x5634,x5635,x5636,x5637,x5632,x5638)) % 153.71/153.55 [564]~E(x5641,x5642)+E(f484(x5643,x5644,x5645,x5646,x5647,x5648,x5641),f484(x5643,x5644,x5645,x5646,x5647,x5648,x5642)) % 153.71/153.55 [565]~E(x5651,x5652)+E(f300(x5651,x5653,x5654),f300(x5652,x5653,x5654)) % 153.71/153.55 [566]~E(x5661,x5662)+E(f300(x5663,x5661,x5664),f300(x5663,x5662,x5664)) % 153.71/153.55 [567]~E(x5671,x5672)+E(f300(x5673,x5674,x5671),f300(x5673,x5674,x5672)) % 153.71/153.55 [568]~E(x5681,x5682)+E(f791(x5681,x5683,x5684),f791(x5682,x5683,x5684)) % 153.71/153.55 [569]~E(x5691,x5692)+E(f791(x5693,x5691,x5694),f791(x5693,x5692,x5694)) % 153.71/153.55 [570]~E(x5701,x5702)+E(f791(x5703,x5704,x5701),f791(x5703,x5704,x5702)) % 153.71/153.55 [571]~E(x5711,x5712)+E(f121(x5711),f121(x5712)) % 153.71/153.55 [572]~E(x5721,x5722)+E(f515(x5721,x5723,x5724,x5725,x5726),f515(x5722,x5723,x5724,x5725,x5726)) % 153.71/153.55 [573]~E(x5731,x5732)+E(f515(x5733,x5731,x5734,x5735,x5736),f515(x5733,x5732,x5734,x5735,x5736)) % 153.71/153.55 [574]~E(x5741,x5742)+E(f515(x5743,x5744,x5741,x5745,x5746),f515(x5743,x5744,x5742,x5745,x5746)) % 153.71/153.55 [575]~E(x5751,x5752)+E(f515(x5753,x5754,x5755,x5751,x5756),f515(x5753,x5754,x5755,x5752,x5756)) % 153.71/153.55 [576]~E(x5761,x5762)+E(f515(x5763,x5764,x5765,x5766,x5761),f515(x5763,x5764,x5765,x5766,x5762)) % 153.71/153.55 [577]~E(x5771,x5772)+E(f776(x5771,x5773,x5774),f776(x5772,x5773,x5774)) % 153.71/153.55 [578]~E(x5781,x5782)+E(f776(x5783,x5781,x5784),f776(x5783,x5782,x5784)) % 153.71/153.55 [579]~E(x5791,x5792)+E(f776(x5793,x5794,x5791),f776(x5793,x5794,x5792)) % 153.71/153.55 [580]~E(x5801,x5802)+E(f636(x5801,x5803,x5804),f636(x5802,x5803,x5804)) % 153.71/153.55 [581]~E(x5811,x5812)+E(f636(x5813,x5811,x5814),f636(x5813,x5812,x5814)) % 153.71/153.55 [582]~E(x5821,x5822)+E(f636(x5823,x5824,x5821),f636(x5823,x5824,x5822)) % 153.71/153.55 [583]~E(x5831,x5832)+E(f129(x5831,x5833),f129(x5832,x5833)) % 153.71/153.55 [584]~E(x5841,x5842)+E(f129(x5843,x5841),f129(x5843,x5842)) % 153.71/153.55 [585]~E(x5851,x5852)+E(f715(x5851,x5853,x5854,x5855,x5856),f715(x5852,x5853,x5854,x5855,x5856)) % 153.71/153.55 [586]~E(x5861,x5862)+E(f715(x5863,x5861,x5864,x5865,x5866),f715(x5863,x5862,x5864,x5865,x5866)) % 153.71/153.55 [587]~E(x5871,x5872)+E(f715(x5873,x5874,x5871,x5875,x5876),f715(x5873,x5874,x5872,x5875,x5876)) % 153.71/153.55 [588]~E(x5881,x5882)+E(f715(x5883,x5884,x5885,x5881,x5886),f715(x5883,x5884,x5885,x5882,x5886)) % 153.71/153.55 [589]~E(x5891,x5892)+E(f715(x5893,x5894,x5895,x5896,x5891),f715(x5893,x5894,x5895,x5896,x5892)) % 153.71/153.55 [590]~E(x5901,x5902)+E(f258(x5901,x5903),f258(x5902,x5903)) % 153.71/153.55 [591]~E(x5911,x5912)+E(f258(x5913,x5911),f258(x5913,x5912)) % 153.71/153.55 [592]~E(x5921,x5922)+E(f578(x5921,x5923,x5924),f578(x5922,x5923,x5924)) % 153.71/153.55 [593]~E(x5931,x5932)+E(f578(x5933,x5931,x5934),f578(x5933,x5932,x5934)) % 153.71/153.55 [594]~E(x5941,x5942)+E(f578(x5943,x5944,x5941),f578(x5943,x5944,x5942)) % 153.71/153.55 [595]~E(x5951,x5952)+E(f663(x5951,x5953,x5954,x5955,x5956),f663(x5952,x5953,x5954,x5955,x5956)) % 153.71/153.55 [596]~E(x5961,x5962)+E(f663(x5963,x5961,x5964,x5965,x5966),f663(x5963,x5962,x5964,x5965,x5966)) % 153.71/153.55 [597]~E(x5971,x5972)+E(f663(x5973,x5974,x5971,x5975,x5976),f663(x5973,x5974,x5972,x5975,x5976)) % 153.71/153.55 [598]~E(x5981,x5982)+E(f663(x5983,x5984,x5985,x5981,x5986),f663(x5983,x5984,x5985,x5982,x5986)) % 153.71/153.55 [599]~E(x5991,x5992)+E(f663(x5993,x5994,x5995,x5996,x5991),f663(x5993,x5994,x5995,x5996,x5992)) % 153.71/153.55 [600]~E(x6001,x6002)+E(f314(x6001,x6003,x6004,x6005,x6006),f314(x6002,x6003,x6004,x6005,x6006)) % 153.71/153.55 [601]~E(x6011,x6012)+E(f314(x6013,x6011,x6014,x6015,x6016),f314(x6013,x6012,x6014,x6015,x6016)) % 153.71/153.55 [602]~E(x6021,x6022)+E(f314(x6023,x6024,x6021,x6025,x6026),f314(x6023,x6024,x6022,x6025,x6026)) % 153.71/153.55 [603]~E(x6031,x6032)+E(f314(x6033,x6034,x6035,x6031,x6036),f314(x6033,x6034,x6035,x6032,x6036)) % 153.71/153.55 [604]~E(x6041,x6042)+E(f314(x6043,x6044,x6045,x6046,x6041),f314(x6043,x6044,x6045,x6046,x6042)) % 153.71/153.55 [605]~E(x6051,x6052)+E(f81(x6051,x6053,x6054,x6055),f81(x6052,x6053,x6054,x6055)) % 153.71/153.55 [606]~E(x6061,x6062)+E(f81(x6063,x6061,x6064,x6065),f81(x6063,x6062,x6064,x6065)) % 153.71/153.55 [607]~E(x6071,x6072)+E(f81(x6073,x6074,x6071,x6075),f81(x6073,x6074,x6072,x6075)) % 153.71/153.55 [608]~E(x6081,x6082)+E(f81(x6083,x6084,x6085,x6081),f81(x6083,x6084,x6085,x6082)) % 153.71/153.55 [609]~E(x6091,x6092)+E(f825(x6091,x6093),f825(x6092,x6093)) % 153.71/153.55 [610]~E(x6101,x6102)+E(f825(x6103,x6101),f825(x6103,x6102)) % 153.71/153.55 [611]~E(x6111,x6112)+E(f585(x6111,x6113),f585(x6112,x6113)) % 153.71/153.55 [612]~E(x6121,x6122)+E(f585(x6123,x6121),f585(x6123,x6122)) % 153.71/153.55 [613]~E(x6131,x6132)+E(f336(x6131,x6133),f336(x6132,x6133)) % 153.71/153.55 [614]~E(x6141,x6142)+E(f336(x6143,x6141),f336(x6143,x6142)) % 153.71/153.55 [615]~E(x6151,x6152)+E(f221(x6151,x6153),f221(x6152,x6153)) % 153.71/153.55 [616]~E(x6161,x6162)+E(f221(x6163,x6161),f221(x6163,x6162)) % 153.71/153.55 [617]~E(x6171,x6172)+E(f654(x6171,x6173,x6174),f654(x6172,x6173,x6174)) % 153.71/153.55 [618]~E(x6181,x6182)+E(f654(x6183,x6181,x6184),f654(x6183,x6182,x6184)) % 153.71/153.55 [619]~E(x6191,x6192)+E(f654(x6193,x6194,x6191),f654(x6193,x6194,x6192)) % 153.71/153.55 [620]~E(x6201,x6202)+E(f714(x6201,x6203,x6204,x6205,x6206),f714(x6202,x6203,x6204,x6205,x6206)) % 153.71/153.55 [621]~E(x6211,x6212)+E(f714(x6213,x6211,x6214,x6215,x6216),f714(x6213,x6212,x6214,x6215,x6216)) % 153.71/153.55 [622]~E(x6221,x6222)+E(f714(x6223,x6224,x6221,x6225,x6226),f714(x6223,x6224,x6222,x6225,x6226)) % 153.71/153.55 [623]~E(x6231,x6232)+E(f714(x6233,x6234,x6235,x6231,x6236),f714(x6233,x6234,x6235,x6232,x6236)) % 153.71/153.55 [624]~E(x6241,x6242)+E(f714(x6243,x6244,x6245,x6246,x6241),f714(x6243,x6244,x6245,x6246,x6242)) % 153.71/153.55 [625]~E(x6251,x6252)+E(f736(x6251,x6253,x6254,x6255,x6256),f736(x6252,x6253,x6254,x6255,x6256)) % 153.71/153.55 [626]~E(x6261,x6262)+E(f736(x6263,x6261,x6264,x6265,x6266),f736(x6263,x6262,x6264,x6265,x6266)) % 153.71/153.55 [627]~E(x6271,x6272)+E(f736(x6273,x6274,x6271,x6275,x6276),f736(x6273,x6274,x6272,x6275,x6276)) % 153.71/153.55 [628]~E(x6281,x6282)+E(f736(x6283,x6284,x6285,x6281,x6286),f736(x6283,x6284,x6285,x6282,x6286)) % 153.71/153.55 [629]~E(x6291,x6292)+E(f736(x6293,x6294,x6295,x6296,x6291),f736(x6293,x6294,x6295,x6296,x6292)) % 153.71/153.55 [630]~E(x6301,x6302)+E(f338(x6301,x6303),f338(x6302,x6303)) % 153.71/153.55 [631]~E(x6311,x6312)+E(f338(x6313,x6311),f338(x6313,x6312)) % 153.71/153.55 [632]~E(x6321,x6322)+E(f284(x6321,x6323,x6324,x6325,x6326),f284(x6322,x6323,x6324,x6325,x6326)) % 153.71/153.55 [633]~E(x6331,x6332)+E(f284(x6333,x6331,x6334,x6335,x6336),f284(x6333,x6332,x6334,x6335,x6336)) % 153.71/153.55 [634]~E(x6341,x6342)+E(f284(x6343,x6344,x6341,x6345,x6346),f284(x6343,x6344,x6342,x6345,x6346)) % 153.71/153.55 [635]~E(x6351,x6352)+E(f284(x6353,x6354,x6355,x6351,x6356),f284(x6353,x6354,x6355,x6352,x6356)) % 153.71/153.55 [636]~E(x6361,x6362)+E(f284(x6363,x6364,x6365,x6366,x6361),f284(x6363,x6364,x6365,x6366,x6362)) % 153.71/153.55 [637]~E(x6371,x6372)+E(f771(x6371,x6373,x6374),f771(x6372,x6373,x6374)) % 153.71/153.55 [638]~E(x6381,x6382)+E(f771(x6383,x6381,x6384),f771(x6383,x6382,x6384)) % 153.71/153.55 [639]~E(x6391,x6392)+E(f771(x6393,x6394,x6391),f771(x6393,x6394,x6392)) % 153.71/153.55 [640]~E(x6401,x6402)+E(f264(x6401,x6403,x6404),f264(x6402,x6403,x6404)) % 153.71/153.55 [641]~E(x6411,x6412)+E(f264(x6413,x6411,x6414),f264(x6413,x6412,x6414)) % 153.71/153.55 [642]~E(x6421,x6422)+E(f264(x6423,x6424,x6421),f264(x6423,x6424,x6422)) % 153.71/153.55 [643]~E(x6431,x6432)+E(f37(x6431,x6433,x6434,x6435,x6436,x6437,x6438,x6439,x64310,x64311),f37(x6432,x6433,x6434,x6435,x6436,x6437,x6438,x6439,x64310,x64311)) % 153.71/153.55 [644]~E(x6441,x6442)+E(f37(x6443,x6441,x6444,x6445,x6446,x6447,x6448,x6449,x64410,x64411),f37(x6443,x6442,x6444,x6445,x6446,x6447,x6448,x6449,x64410,x64411)) % 153.71/153.55 [645]~E(x6451,x6452)+E(f37(x6453,x6454,x6451,x6455,x6456,x6457,x6458,x6459,x64510,x64511),f37(x6453,x6454,x6452,x6455,x6456,x6457,x6458,x6459,x64510,x64511)) % 153.71/153.55 [646]~E(x6461,x6462)+E(f37(x6463,x6464,x6465,x6461,x6466,x6467,x6468,x6469,x64610,x64611),f37(x6463,x6464,x6465,x6462,x6466,x6467,x6468,x6469,x64610,x64611)) % 153.71/153.55 [647]~E(x6471,x6472)+E(f37(x6473,x6474,x6475,x6476,x6471,x6477,x6478,x6479,x64710,x64711),f37(x6473,x6474,x6475,x6476,x6472,x6477,x6478,x6479,x64710,x64711)) % 153.71/153.55 [648]~E(x6481,x6482)+E(f37(x6483,x6484,x6485,x6486,x6487,x6481,x6488,x6489,x64810,x64811),f37(x6483,x6484,x6485,x6486,x6487,x6482,x6488,x6489,x64810,x64811)) % 153.71/153.55 [649]~E(x6491,x6492)+E(f37(x6493,x6494,x6495,x6496,x6497,x6498,x6491,x6499,x64910,x64911),f37(x6493,x6494,x6495,x6496,x6497,x6498,x6492,x6499,x64910,x64911)) % 153.71/153.55 [650]~E(x6501,x6502)+E(f37(x6503,x6504,x6505,x6506,x6507,x6508,x6509,x6501,x65010,x65011),f37(x6503,x6504,x6505,x6506,x6507,x6508,x6509,x6502,x65010,x65011)) % 153.71/153.55 [651]~E(x6511,x6512)+E(f37(x6513,x6514,x6515,x6516,x6517,x6518,x6519,x65110,x6511,x65111),f37(x6513,x6514,x6515,x6516,x6517,x6518,x6519,x65110,x6512,x65111)) % 153.71/153.55 [652]~E(x6521,x6522)+E(f37(x6523,x6524,x6525,x6526,x6527,x6528,x6529,x65210,x65211,x6521),f37(x6523,x6524,x6525,x6526,x6527,x6528,x6529,x65210,x65211,x6522)) % 153.71/153.55 [653]~E(x6531,x6532)+E(f202(x6531),f202(x6532)) % 153.71/153.55 [654]~E(x6541,x6542)+E(f770(x6541,x6543,x6544),f770(x6542,x6543,x6544)) % 153.71/153.55 [655]~E(x6551,x6552)+E(f770(x6553,x6551,x6554),f770(x6553,x6552,x6554)) % 153.71/153.55 [656]~E(x6561,x6562)+E(f770(x6563,x6564,x6561),f770(x6563,x6564,x6562)) % 153.71/153.55 [657]~E(x6571,x6572)+E(f46(x6571,x6573),f46(x6572,x6573)) % 153.71/153.55 [658]~E(x6581,x6582)+E(f46(x6583,x6581),f46(x6583,x6582)) % 153.71/153.55 [659]~E(x6591,x6592)+E(f539(x6591,x6593,x6594,x6595,x6596,x6597,x6598,x6599),f539(x6592,x6593,x6594,x6595,x6596,x6597,x6598,x6599)) % 153.71/153.55 [660]~E(x6601,x6602)+E(f539(x6603,x6601,x6604,x6605,x6606,x6607,x6608,x6609),f539(x6603,x6602,x6604,x6605,x6606,x6607,x6608,x6609)) % 153.71/153.55 [661]~E(x6611,x6612)+E(f539(x6613,x6614,x6611,x6615,x6616,x6617,x6618,x6619),f539(x6613,x6614,x6612,x6615,x6616,x6617,x6618,x6619)) % 153.71/153.55 [662]~E(x6621,x6622)+E(f539(x6623,x6624,x6625,x6621,x6626,x6627,x6628,x6629),f539(x6623,x6624,x6625,x6622,x6626,x6627,x6628,x6629)) % 153.71/153.55 [663]~E(x6631,x6632)+E(f539(x6633,x6634,x6635,x6636,x6631,x6637,x6638,x6639),f539(x6633,x6634,x6635,x6636,x6632,x6637,x6638,x6639)) % 153.71/153.55 [664]~E(x6641,x6642)+E(f539(x6643,x6644,x6645,x6646,x6647,x6641,x6648,x6649),f539(x6643,x6644,x6645,x6646,x6647,x6642,x6648,x6649)) % 153.71/153.55 [665]~E(x6651,x6652)+E(f539(x6653,x6654,x6655,x6656,x6657,x6658,x6651,x6659),f539(x6653,x6654,x6655,x6656,x6657,x6658,x6652,x6659)) % 153.71/153.55 [666]~E(x6661,x6662)+E(f539(x6663,x6664,x6665,x6666,x6667,x6668,x6669,x6661),f539(x6663,x6664,x6665,x6666,x6667,x6668,x6669,x6662)) % 153.71/153.55 [667]~E(x6671,x6672)+E(f205(x6671,x6673),f205(x6672,x6673)) % 153.71/153.55 [668]~E(x6681,x6682)+E(f205(x6683,x6681),f205(x6683,x6682)) % 153.71/153.55 [669]~E(x6691,x6692)+E(f732(x6691,x6693,x6694),f732(x6692,x6693,x6694)) % 153.71/153.55 [670]~E(x6701,x6702)+E(f732(x6703,x6701,x6704),f732(x6703,x6702,x6704)) % 153.71/153.55 [671]~E(x6711,x6712)+E(f732(x6713,x6714,x6711),f732(x6713,x6714,x6712)) % 153.71/153.55 [672]~E(x6721,x6722)+E(f485(x6721,x6723,x6724,x6725,x6726,x6727,x6728),f485(x6722,x6723,x6724,x6725,x6726,x6727,x6728)) % 153.71/153.55 [673]~E(x6731,x6732)+E(f485(x6733,x6731,x6734,x6735,x6736,x6737,x6738),f485(x6733,x6732,x6734,x6735,x6736,x6737,x6738)) % 153.71/153.55 [674]~E(x6741,x6742)+E(f485(x6743,x6744,x6741,x6745,x6746,x6747,x6748),f485(x6743,x6744,x6742,x6745,x6746,x6747,x6748)) % 153.71/153.55 [675]~E(x6751,x6752)+E(f485(x6753,x6754,x6755,x6751,x6756,x6757,x6758),f485(x6753,x6754,x6755,x6752,x6756,x6757,x6758)) % 153.71/153.55 [676]~E(x6761,x6762)+E(f485(x6763,x6764,x6765,x6766,x6761,x6767,x6768),f485(x6763,x6764,x6765,x6766,x6762,x6767,x6768)) % 153.71/153.55 [677]~E(x6771,x6772)+E(f485(x6773,x6774,x6775,x6776,x6777,x6771,x6778),f485(x6773,x6774,x6775,x6776,x6777,x6772,x6778)) % 153.71/153.55 [678]~E(x6781,x6782)+E(f485(x6783,x6784,x6785,x6786,x6787,x6788,x6781),f485(x6783,x6784,x6785,x6786,x6787,x6788,x6782)) % 153.71/153.55 [679]~E(x6791,x6792)+E(f778(x6791,x6793),f778(x6792,x6793)) % 153.71/153.55 [680]~E(x6801,x6802)+E(f778(x6803,x6801),f778(x6803,x6802)) % 153.71/153.55 [681]~E(x6811,x6812)+E(f767(x6811,x6813,x6814),f767(x6812,x6813,x6814)) % 153.71/153.55 [682]~E(x6821,x6822)+E(f767(x6823,x6821,x6824),f767(x6823,x6822,x6824)) % 153.71/153.55 [683]~E(x6831,x6832)+E(f767(x6833,x6834,x6831),f767(x6833,x6834,x6832)) % 153.71/153.55 [684]~E(x6841,x6842)+E(f642(x6841,x6843,x6844,x6845,x6846),f642(x6842,x6843,x6844,x6845,x6846)) % 153.71/153.55 [685]~E(x6851,x6852)+E(f642(x6853,x6851,x6854,x6855,x6856),f642(x6853,x6852,x6854,x6855,x6856)) % 153.71/153.55 [686]~E(x6861,x6862)+E(f642(x6863,x6864,x6861,x6865,x6866),f642(x6863,x6864,x6862,x6865,x6866)) % 153.71/153.55 [687]~E(x6871,x6872)+E(f642(x6873,x6874,x6875,x6871,x6876),f642(x6873,x6874,x6875,x6872,x6876)) % 153.71/153.55 [688]~E(x6881,x6882)+E(f642(x6883,x6884,x6885,x6886,x6881),f642(x6883,x6884,x6885,x6886,x6882)) % 153.71/153.55 [689]~E(x6891,x6892)+E(f664(x6891,x6893,x6894,x6895,x6896),f664(x6892,x6893,x6894,x6895,x6896)) % 153.71/153.55 [690]~E(x6901,x6902)+E(f664(x6903,x6901,x6904,x6905,x6906),f664(x6903,x6902,x6904,x6905,x6906)) % 153.71/153.55 [691]~E(x6911,x6912)+E(f664(x6913,x6914,x6911,x6915,x6916),f664(x6913,x6914,x6912,x6915,x6916)) % 153.71/153.55 [692]~E(x6921,x6922)+E(f664(x6923,x6924,x6925,x6921,x6926),f664(x6923,x6924,x6925,x6922,x6926)) % 153.71/153.55 [693]~E(x6931,x6932)+E(f664(x6933,x6934,x6935,x6936,x6931),f664(x6933,x6934,x6935,x6936,x6932)) % 153.71/153.55 [694]~E(x6941,x6942)+E(f315(x6941,x6943,x6944,x6945,x6946,x6947),f315(x6942,x6943,x6944,x6945,x6946,x6947)) % 153.71/153.55 [695]~E(x6951,x6952)+E(f315(x6953,x6951,x6954,x6955,x6956,x6957),f315(x6953,x6952,x6954,x6955,x6956,x6957)) % 153.71/153.55 [696]~E(x6961,x6962)+E(f315(x6963,x6964,x6961,x6965,x6966,x6967),f315(x6963,x6964,x6962,x6965,x6966,x6967)) % 153.71/153.55 [697]~E(x6971,x6972)+E(f315(x6973,x6974,x6975,x6971,x6976,x6977),f315(x6973,x6974,x6975,x6972,x6976,x6977)) % 153.71/153.55 [698]~E(x6981,x6982)+E(f315(x6983,x6984,x6985,x6986,x6981,x6987),f315(x6983,x6984,x6985,x6986,x6982,x6987)) % 153.71/153.55 [699]~E(x6991,x6992)+E(f315(x6993,x6994,x6995,x6996,x6997,x6991),f315(x6993,x6994,x6995,x6996,x6997,x6992)) % 153.71/153.55 [700]~E(x7001,x7002)+E(f254(x7001,x7003),f254(x7002,x7003)) % 153.71/153.55 [701]~E(x7011,x7012)+E(f254(x7013,x7011),f254(x7013,x7012)) % 153.71/153.55 [702]~E(x7021,x7022)+E(f337(x7021,x7023),f337(x7022,x7023)) % 153.71/153.55 [703]~E(x7031,x7032)+E(f337(x7033,x7031),f337(x7033,x7032)) % 153.71/153.55 [704]~E(x7041,x7042)+E(f36(x7041,x7043),f36(x7042,x7043)) % 153.71/153.55 [705]~E(x7051,x7052)+E(f36(x7053,x7051),f36(x7053,x7052)) % 153.71/153.55 [706]~E(x7061,x7062)+E(f63(x7061,x7063),f63(x7062,x7063)) % 153.71/153.55 [707]~E(x7071,x7072)+E(f63(x7073,x7071),f63(x7073,x7072)) % 153.71/153.55 [708]~E(x7081,x7082)+E(f798(x7081,x7083,x7084,x7085),f798(x7082,x7083,x7084,x7085)) % 153.71/153.55 [709]~E(x7091,x7092)+E(f798(x7093,x7091,x7094,x7095),f798(x7093,x7092,x7094,x7095)) % 153.71/153.55 [710]~E(x7101,x7102)+E(f798(x7103,x7104,x7101,x7105),f798(x7103,x7104,x7102,x7105)) % 153.71/153.55 [711]~E(x7111,x7112)+E(f798(x7113,x7114,x7115,x7111),f798(x7113,x7114,x7115,x7112)) % 153.71/153.55 [712]~E(x7121,x7122)+E(f90(x7121,x7123),f90(x7122,x7123)) % 153.71/153.55 [713]~E(x7131,x7132)+E(f90(x7133,x7131),f90(x7133,x7132)) % 153.71/153.55 [714]~E(x7141,x7142)+E(f480(x7141,x7143,x7144,x7145),f480(x7142,x7143,x7144,x7145)) % 153.71/153.55 [715]~E(x7151,x7152)+E(f480(x7153,x7151,x7154,x7155),f480(x7153,x7152,x7154,x7155)) % 153.71/153.55 [716]~E(x7161,x7162)+E(f480(x7163,x7164,x7161,x7165),f480(x7163,x7164,x7162,x7165)) % 153.71/153.55 [717]~E(x7171,x7172)+E(f480(x7173,x7174,x7175,x7171),f480(x7173,x7174,x7175,x7172)) % 153.71/153.55 [718]~E(x7181,x7182)+E(f692(x7181,x7183,x7184,x7185),f692(x7182,x7183,x7184,x7185)) % 153.71/153.55 [719]~E(x7191,x7192)+E(f692(x7193,x7191,x7194,x7195),f692(x7193,x7192,x7194,x7195)) % 153.71/153.55 [720]~E(x7201,x7202)+E(f692(x7203,x7204,x7201,x7205),f692(x7203,x7204,x7202,x7205)) % 153.71/153.55 [721]~E(x7211,x7212)+E(f692(x7213,x7214,x7215,x7211),f692(x7213,x7214,x7215,x7212)) % 153.71/153.55 [722]~E(x7221,x7222)+E(f476(x7221,x7223),f476(x7222,x7223)) % 153.71/153.55 [723]~E(x7231,x7232)+E(f476(x7233,x7231),f476(x7233,x7232)) % 153.71/153.55 [724]~E(x7241,x7242)+E(f738(x7241,x7243,x7244),f738(x7242,x7243,x7244)) % 153.71/153.55 [725]~E(x7251,x7252)+E(f738(x7253,x7251,x7254),f738(x7253,x7252,x7254)) % 153.71/153.55 [726]~E(x7261,x7262)+E(f738(x7263,x7264,x7261),f738(x7263,x7264,x7262)) % 153.71/153.55 [727]~E(x7271,x7272)+E(f283(x7271,x7273,x7274),f283(x7272,x7273,x7274)) % 153.71/153.55 [728]~E(x7281,x7282)+E(f283(x7283,x7281,x7284),f283(x7283,x7282,x7284)) % 153.71/153.55 [729]~E(x7291,x7292)+E(f283(x7293,x7294,x7291),f283(x7293,x7294,x7292)) % 153.71/153.55 [730]~E(x7301,x7302)+E(f660(x7301,x7303,x7304,x7305,x7306),f660(x7302,x7303,x7304,x7305,x7306)) % 153.71/153.55 [731]~E(x7311,x7312)+E(f660(x7313,x7311,x7314,x7315,x7316),f660(x7313,x7312,x7314,x7315,x7316)) % 153.71/153.55 [732]~E(x7321,x7322)+E(f660(x7323,x7324,x7321,x7325,x7326),f660(x7323,x7324,x7322,x7325,x7326)) % 153.71/153.55 [733]~E(x7331,x7332)+E(f660(x7333,x7334,x7335,x7331,x7336),f660(x7333,x7334,x7335,x7332,x7336)) % 153.71/153.55 [734]~E(x7341,x7342)+E(f660(x7343,x7344,x7345,x7346,x7341),f660(x7343,x7344,x7345,x7346,x7342)) % 153.71/153.55 [735]~E(x7351,x7352)+E(f351(x7351,x7353,x7354,x7355),f351(x7352,x7353,x7354,x7355)) % 153.71/153.55 [736]~E(x7361,x7362)+E(f351(x7363,x7361,x7364,x7365),f351(x7363,x7362,x7364,x7365)) % 153.71/153.55 [737]~E(x7371,x7372)+E(f351(x7373,x7374,x7371,x7375),f351(x7373,x7374,x7372,x7375)) % 153.71/153.55 [738]~E(x7381,x7382)+E(f351(x7383,x7384,x7385,x7381),f351(x7383,x7384,x7385,x7382)) % 153.71/153.55 [739]~E(x7391,x7392)+E(f818(x7391,x7393,x7394,x7395,x7396),f818(x7392,x7393,x7394,x7395,x7396)) % 153.71/153.55 [740]~E(x7401,x7402)+E(f818(x7403,x7401,x7404,x7405,x7406),f818(x7403,x7402,x7404,x7405,x7406)) % 153.71/153.55 [741]~E(x7411,x7412)+E(f818(x7413,x7414,x7411,x7415,x7416),f818(x7413,x7414,x7412,x7415,x7416)) % 153.71/153.55 [742]~E(x7421,x7422)+E(f818(x7423,x7424,x7425,x7421,x7426),f818(x7423,x7424,x7425,x7422,x7426)) % 153.71/153.55 [743]~E(x7431,x7432)+E(f818(x7433,x7434,x7435,x7436,x7431),f818(x7433,x7434,x7435,x7436,x7432)) % 153.71/153.55 [744]~E(x7441,x7442)+E(f542(x7441,x7443,x7444),f542(x7442,x7443,x7444)) % 153.71/153.55 [745]~E(x7451,x7452)+E(f542(x7453,x7451,x7454),f542(x7453,x7452,x7454)) % 153.71/153.55 [746]~E(x7461,x7462)+E(f542(x7463,x7464,x7461),f542(x7463,x7464,x7462)) % 153.71/153.55 [747]~E(x7471,x7472)+E(f271(x7471),f271(x7472)) % 153.71/153.55 [748]~E(x7481,x7482)+E(f292(x7481,x7483,x7484),f292(x7482,x7483,x7484)) % 153.71/153.55 [749]~E(x7491,x7492)+E(f292(x7493,x7491,x7494),f292(x7493,x7492,x7494)) % 153.71/153.55 [750]~E(x7501,x7502)+E(f292(x7503,x7504,x7501),f292(x7503,x7504,x7502)) % 153.71/153.55 [751]~E(x7511,x7512)+E(f658(x7511,x7513,x7514,x7515,x7516,x7517,x7518),f658(x7512,x7513,x7514,x7515,x7516,x7517,x7518)) % 153.71/153.55 [752]~E(x7521,x7522)+E(f658(x7523,x7521,x7524,x7525,x7526,x7527,x7528),f658(x7523,x7522,x7524,x7525,x7526,x7527,x7528)) % 153.71/153.55 [753]~E(x7531,x7532)+E(f658(x7533,x7534,x7531,x7535,x7536,x7537,x7538),f658(x7533,x7534,x7532,x7535,x7536,x7537,x7538)) % 153.71/153.55 [754]~E(x7541,x7542)+E(f658(x7543,x7544,x7545,x7541,x7546,x7547,x7548),f658(x7543,x7544,x7545,x7542,x7546,x7547,x7548)) % 153.71/153.55 [755]~E(x7551,x7552)+E(f658(x7553,x7554,x7555,x7556,x7551,x7557,x7558),f658(x7553,x7554,x7555,x7556,x7552,x7557,x7558)) % 153.71/153.55 [756]~E(x7561,x7562)+E(f658(x7563,x7564,x7565,x7566,x7567,x7561,x7568),f658(x7563,x7564,x7565,x7566,x7567,x7562,x7568)) % 153.71/153.55 [757]~E(x7571,x7572)+E(f658(x7573,x7574,x7575,x7576,x7577,x7578,x7571),f658(x7573,x7574,x7575,x7576,x7577,x7578,x7572)) % 153.71/153.55 [758]~E(x7581,x7582)+E(f779(x7581,x7583,x7584),f779(x7582,x7583,x7584)) % 153.71/153.55 [759]~E(x7591,x7592)+E(f779(x7593,x7591,x7594),f779(x7593,x7592,x7594)) % 153.71/153.55 [760]~E(x7601,x7602)+E(f779(x7603,x7604,x7601),f779(x7603,x7604,x7602)) % 153.71/153.55 [761]~E(x7611,x7612)+E(f695(x7611,x7613,x7614,x7615,x7616,x7617,x7618),f695(x7612,x7613,x7614,x7615,x7616,x7617,x7618)) % 153.71/153.55 [762]~E(x7621,x7622)+E(f695(x7623,x7621,x7624,x7625,x7626,x7627,x7628),f695(x7623,x7622,x7624,x7625,x7626,x7627,x7628)) % 153.71/153.55 [763]~E(x7631,x7632)+E(f695(x7633,x7634,x7631,x7635,x7636,x7637,x7638),f695(x7633,x7634,x7632,x7635,x7636,x7637,x7638)) % 153.71/153.55 [764]~E(x7641,x7642)+E(f695(x7643,x7644,x7645,x7641,x7646,x7647,x7648),f695(x7643,x7644,x7645,x7642,x7646,x7647,x7648)) % 153.71/153.55 [765]~E(x7651,x7652)+E(f695(x7653,x7654,x7655,x7656,x7651,x7657,x7658),f695(x7653,x7654,x7655,x7656,x7652,x7657,x7658)) % 153.71/153.55 [766]~E(x7661,x7662)+E(f695(x7663,x7664,x7665,x7666,x7667,x7661,x7668),f695(x7663,x7664,x7665,x7666,x7667,x7662,x7668)) % 153.71/153.55 [767]~E(x7671,x7672)+E(f695(x7673,x7674,x7675,x7676,x7677,x7678,x7671),f695(x7673,x7674,x7675,x7676,x7677,x7678,x7672)) % 153.71/153.55 [768]~E(x7681,x7682)+E(f510(x7681,x7683,x7684),f510(x7682,x7683,x7684)) % 153.71/153.55 [769]~E(x7691,x7692)+E(f510(x7693,x7691,x7694),f510(x7693,x7692,x7694)) % 153.71/153.55 [770]~E(x7701,x7702)+E(f510(x7703,x7704,x7701),f510(x7703,x7704,x7702)) % 153.71/153.55 [771]~E(x7711,x7712)+E(f311(x7711,x7713,x7714,x7715),f311(x7712,x7713,x7714,x7715)) % 153.71/153.55 [772]~E(x7721,x7722)+E(f311(x7723,x7721,x7724,x7725),f311(x7723,x7722,x7724,x7725)) % 153.71/153.55 [773]~E(x7731,x7732)+E(f311(x7733,x7734,x7731,x7735),f311(x7733,x7734,x7732,x7735)) % 153.71/153.55 [774]~E(x7741,x7742)+E(f311(x7743,x7744,x7745,x7741),f311(x7743,x7744,x7745,x7742)) % 153.71/153.55 [775]~E(x7751,x7752)+E(f194(x7751),f194(x7752)) % 153.71/153.55 [776]~E(x7761,x7762)+E(f55(x7761,x7763),f55(x7762,x7763)) % 153.71/153.55 [777]~E(x7771,x7772)+E(f55(x7773,x7771),f55(x7773,x7772)) % 153.71/153.55 [778]~E(x7781,x7782)+E(f466(x7781,x7783,x7784),f466(x7782,x7783,x7784)) % 153.71/153.55 [779]~E(x7791,x7792)+E(f466(x7793,x7791,x7794),f466(x7793,x7792,x7794)) % 153.71/153.55 [780]~E(x7801,x7802)+E(f466(x7803,x7804,x7801),f466(x7803,x7804,x7802)) % 153.71/153.55 [781]~E(x7811,x7812)+E(f681(x7811,x7813),f681(x7812,x7813)) % 153.71/153.55 [782]~E(x7821,x7822)+E(f681(x7823,x7821),f681(x7823,x7822)) % 153.71/153.55 [783]~E(x7831,x7832)+E(f457(x7831,x7833,x7834),f457(x7832,x7833,x7834)) % 153.71/153.55 [784]~E(x7841,x7842)+E(f457(x7843,x7841,x7844),f457(x7843,x7842,x7844)) % 153.71/153.55 [785]~E(x7851,x7852)+E(f457(x7853,x7854,x7851),f457(x7853,x7854,x7852)) % 153.71/153.55 [786]~E(x7861,x7862)+E(f242(x7861,x7863,x7864),f242(x7862,x7863,x7864)) % 153.71/153.55 [787]~E(x7871,x7872)+E(f242(x7873,x7871,x7874),f242(x7873,x7872,x7874)) % 153.71/153.55 [788]~E(x7881,x7882)+E(f242(x7883,x7884,x7881),f242(x7883,x7884,x7882)) % 153.71/153.55 [789]~E(x7891,x7892)+E(f214(x7891,x7893,x7894,x7895,x7896),f214(x7892,x7893,x7894,x7895,x7896)) % 153.71/153.55 [790]~E(x7901,x7902)+E(f214(x7903,x7901,x7904,x7905,x7906),f214(x7903,x7902,x7904,x7905,x7906)) % 153.71/153.55 [791]~E(x7911,x7912)+E(f214(x7913,x7914,x7911,x7915,x7916),f214(x7913,x7914,x7912,x7915,x7916)) % 153.71/153.55 [792]~E(x7921,x7922)+E(f214(x7923,x7924,x7925,x7921,x7926),f214(x7923,x7924,x7925,x7922,x7926)) % 153.71/153.55 [793]~E(x7931,x7932)+E(f214(x7933,x7934,x7935,x7936,x7931),f214(x7933,x7934,x7935,x7936,x7932)) % 153.71/153.55 [794]~E(x7941,x7942)+E(f601(x7941),f601(x7942)) % 153.71/153.55 [795]~E(x7951,x7952)+E(f477(x7951),f477(x7952)) % 153.71/153.55 [796]~E(x7961,x7962)+E(f787(x7961,x7963,x7964,x7965,x7966),f787(x7962,x7963,x7964,x7965,x7966)) % 153.71/153.55 [797]~E(x7971,x7972)+E(f787(x7973,x7971,x7974,x7975,x7976),f787(x7973,x7972,x7974,x7975,x7976)) % 153.71/153.55 [798]~E(x7981,x7982)+E(f787(x7983,x7984,x7981,x7985,x7986),f787(x7983,x7984,x7982,x7985,x7986)) % 153.71/153.55 [799]~E(x7991,x7992)+E(f787(x7993,x7994,x7995,x7991,x7996),f787(x7993,x7994,x7995,x7992,x7996)) % 153.71/153.55 [800]~E(x8001,x8002)+E(f787(x8003,x8004,x8005,x8006,x8001),f787(x8003,x8004,x8005,x8006,x8002)) % 153.71/153.55 [801]~E(x8011,x8012)+E(f171(x8011,x8013,x8014,x8015),f171(x8012,x8013,x8014,x8015)) % 153.71/153.55 [802]~E(x8021,x8022)+E(f171(x8023,x8021,x8024,x8025),f171(x8023,x8022,x8024,x8025)) % 153.71/153.55 [803]~E(x8031,x8032)+E(f171(x8033,x8034,x8031,x8035),f171(x8033,x8034,x8032,x8035)) % 153.71/153.55 [804]~E(x8041,x8042)+E(f171(x8043,x8044,x8045,x8041),f171(x8043,x8044,x8045,x8042)) % 153.71/153.55 [805]~E(x8051,x8052)+E(f268(x8051),f268(x8052)) % 153.71/153.55 [806]~E(x8061,x8062)+E(f275(x8061,x8063),f275(x8062,x8063)) % 153.71/153.55 [807]~E(x8071,x8072)+E(f275(x8073,x8071),f275(x8073,x8072)) % 153.71/153.55 [808]~E(x8081,x8082)+E(f240(x8081,x8083),f240(x8082,x8083)) % 153.71/153.55 [809]~E(x8091,x8092)+E(f240(x8093,x8091),f240(x8093,x8092)) % 153.71/153.55 [810]~E(x8101,x8102)+E(f648(x8101,x8103,x8104),f648(x8102,x8103,x8104)) % 153.71/153.55 [811]~E(x8111,x8112)+E(f648(x8113,x8111,x8114),f648(x8113,x8112,x8114)) % 153.71/153.55 [812]~E(x8121,x8122)+E(f648(x8123,x8124,x8121),f648(x8123,x8124,x8122)) % 153.71/153.55 [813]~E(x8131,x8132)+E(f312(x8131,x8133,x8134,x8135),f312(x8132,x8133,x8134,x8135)) % 153.71/153.55 [814]~E(x8141,x8142)+E(f312(x8143,x8141,x8144,x8145),f312(x8143,x8142,x8144,x8145)) % 153.71/153.55 [815]~E(x8151,x8152)+E(f312(x8153,x8154,x8151,x8155),f312(x8153,x8154,x8152,x8155)) % 153.71/153.55 [816]~E(x8161,x8162)+E(f312(x8163,x8164,x8165,x8161),f312(x8163,x8164,x8165,x8162)) % 153.71/153.55 [817]~E(x8171,x8172)+E(f224(x8171,x8173,x8174,x8175),f224(x8172,x8173,x8174,x8175)) % 153.71/153.55 [818]~E(x8181,x8182)+E(f224(x8183,x8181,x8184,x8185),f224(x8183,x8182,x8184,x8185)) % 153.71/153.55 [819]~E(x8191,x8192)+E(f224(x8193,x8194,x8191,x8195),f224(x8193,x8194,x8192,x8195)) % 153.71/153.55 [820]~E(x8201,x8202)+E(f224(x8203,x8204,x8205,x8201),f224(x8203,x8204,x8205,x8202)) % 153.71/153.56 [821]~E(x8211,x8212)+E(f617(x8211,x8213),f617(x8212,x8213)) % 153.71/153.56 [822]~E(x8221,x8222)+E(f617(x8223,x8221),f617(x8223,x8222)) % 153.71/153.56 [823]~E(x8231,x8232)+E(f769(x8231,x8233,x8234),f769(x8232,x8233,x8234)) % 153.71/153.56 [824]~E(x8241,x8242)+E(f769(x8243,x8241,x8244),f769(x8243,x8242,x8244)) % 153.71/153.56 [825]~E(x8251,x8252)+E(f769(x8253,x8254,x8251),f769(x8253,x8254,x8252)) % 153.71/153.56 [826]~E(x8261,x8262)+E(f531(x8261,x8263,x8264,x8265,x8266,x8267),f531(x8262,x8263,x8264,x8265,x8266,x8267)) % 153.71/153.56 [827]~E(x8271,x8272)+E(f531(x8273,x8271,x8274,x8275,x8276,x8277),f531(x8273,x8272,x8274,x8275,x8276,x8277)) % 153.71/153.56 [828]~E(x8281,x8282)+E(f531(x8283,x8284,x8281,x8285,x8286,x8287),f531(x8283,x8284,x8282,x8285,x8286,x8287)) % 153.71/153.56 [829]~E(x8291,x8292)+E(f531(x8293,x8294,x8295,x8291,x8296,x8297),f531(x8293,x8294,x8295,x8292,x8296,x8297)) % 153.71/153.56 [830]~E(x8301,x8302)+E(f531(x8303,x8304,x8305,x8306,x8301,x8307),f531(x8303,x8304,x8305,x8306,x8302,x8307)) % 153.71/153.56 [831]~E(x8311,x8312)+E(f531(x8313,x8314,x8315,x8316,x8317,x8311),f531(x8313,x8314,x8315,x8316,x8317,x8312)) % 153.71/153.56 [832]~E(x8321,x8322)+E(f744(x8321,x8323,x8324),f744(x8322,x8323,x8324)) % 153.71/153.56 [833]~E(x8331,x8332)+E(f744(x8333,x8331,x8334),f744(x8333,x8332,x8334)) % 153.71/153.56 [834]~E(x8341,x8342)+E(f744(x8343,x8344,x8341),f744(x8343,x8344,x8342)) % 153.71/153.56 [835]~E(x8351,x8352)+E(f219(x8351,x8353,x8354),f219(x8352,x8353,x8354)) % 153.71/153.56 [836]~E(x8361,x8362)+E(f219(x8363,x8361,x8364),f219(x8363,x8362,x8364)) % 153.71/153.56 [837]~E(x8371,x8372)+E(f219(x8373,x8374,x8371),f219(x8373,x8374,x8372)) % 153.71/153.56 [838]~E(x8381,x8382)+E(f720(x8381,x8383,x8384,x8385,x8386),f720(x8382,x8383,x8384,x8385,x8386)) % 153.71/153.56 [839]~E(x8391,x8392)+E(f720(x8393,x8391,x8394,x8395,x8396),f720(x8393,x8392,x8394,x8395,x8396)) % 153.71/153.56 [840]~E(x8401,x8402)+E(f720(x8403,x8404,x8401,x8405,x8406),f720(x8403,x8404,x8402,x8405,x8406)) % 153.71/153.56 [841]~E(x8411,x8412)+E(f720(x8413,x8414,x8415,x8411,x8416),f720(x8413,x8414,x8415,x8412,x8416)) % 153.71/153.56 [842]~E(x8421,x8422)+E(f720(x8423,x8424,x8425,x8426,x8421),f720(x8423,x8424,x8425,x8426,x8422)) % 153.71/153.56 [843]~E(x8431,x8432)+E(f741(x8431,x8433,x8434,x8435),f741(x8432,x8433,x8434,x8435)) % 153.71/153.56 [844]~E(x8441,x8442)+E(f741(x8443,x8441,x8444,x8445),f741(x8443,x8442,x8444,x8445)) % 153.71/153.56 [845]~E(x8451,x8452)+E(f741(x8453,x8454,x8451,x8455),f741(x8453,x8454,x8452,x8455)) % 153.71/153.56 [846]~E(x8461,x8462)+E(f741(x8463,x8464,x8465,x8461),f741(x8463,x8464,x8465,x8462)) % 153.71/153.56 [847]~E(x8471,x8472)+E(f669(x8471,x8473,x8474),f669(x8472,x8473,x8474)) % 153.71/153.56 [848]~E(x8481,x8482)+E(f669(x8483,x8481,x8484),f669(x8483,x8482,x8484)) % 153.71/153.56 [849]~E(x8491,x8492)+E(f669(x8493,x8494,x8491),f669(x8493,x8494,x8492)) % 153.71/153.56 [850]~E(x8501,x8502)+E(f445(x8501,x8503,x8504),f445(x8502,x8503,x8504)) % 153.71/153.56 [851]~E(x8511,x8512)+E(f445(x8513,x8511,x8514),f445(x8513,x8512,x8514)) % 153.71/153.56 [852]~E(x8521,x8522)+E(f445(x8523,x8524,x8521),f445(x8523,x8524,x8522)) % 153.71/153.56 [853]~E(x8531,x8532)+E(f450(x8531,x8533),f450(x8532,x8533)) % 153.71/153.56 [854]~E(x8541,x8542)+E(f450(x8543,x8541),f450(x8543,x8542)) % 153.71/153.56 [855]~E(x8551,x8552)+E(f322(x8551,x8553,x8554),f322(x8552,x8553,x8554)) % 153.71/153.56 [856]~E(x8561,x8562)+E(f322(x8563,x8561,x8564),f322(x8563,x8562,x8564)) % 153.71/153.56 [857]~E(x8571,x8572)+E(f322(x8573,x8574,x8571),f322(x8573,x8574,x8572)) % 153.71/153.56 [858]~E(x8581,x8582)+E(f78(x8581,x8583),f78(x8582,x8583)) % 153.71/153.56 [859]~E(x8591,x8592)+E(f78(x8593,x8591),f78(x8593,x8592)) % 153.71/153.56 [860]~E(x8601,x8602)+E(f449(x8601,x8603,x8604),f449(x8602,x8603,x8604)) % 153.71/153.56 [861]~E(x8611,x8612)+E(f449(x8613,x8611,x8614),f449(x8613,x8612,x8614)) % 153.71/153.56 [862]~E(x8621,x8622)+E(f449(x8623,x8624,x8621),f449(x8623,x8624,x8622)) % 153.71/153.56 [863]~E(x8631,x8632)+E(f606(x8631,x8633,x8634),f606(x8632,x8633,x8634)) % 153.71/153.56 [864]~E(x8641,x8642)+E(f606(x8643,x8641,x8644),f606(x8643,x8642,x8644)) % 153.71/153.56 [865]~E(x8651,x8652)+E(f606(x8653,x8654,x8651),f606(x8653,x8654,x8652)) % 153.71/153.56 [866]~E(x8661,x8662)+E(f565(x8661,x8663),f565(x8662,x8663)) % 153.71/153.56 [867]~E(x8671,x8672)+E(f565(x8673,x8671),f565(x8673,x8672)) % 153.71/153.56 [868]~E(x8681,x8682)+E(f662(x8681,x8683,x8684,x8685,x8686),f662(x8682,x8683,x8684,x8685,x8686)) % 153.71/153.56 [869]~E(x8691,x8692)+E(f662(x8693,x8691,x8694,x8695,x8696),f662(x8693,x8692,x8694,x8695,x8696)) % 153.71/153.56 [870]~E(x8701,x8702)+E(f662(x8703,x8704,x8701,x8705,x8706),f662(x8703,x8704,x8702,x8705,x8706)) % 153.71/153.56 [871]~E(x8711,x8712)+E(f662(x8713,x8714,x8715,x8711,x8716),f662(x8713,x8714,x8715,x8712,x8716)) % 153.71/153.56 [872]~E(x8721,x8722)+E(f662(x8723,x8724,x8725,x8726,x8721),f662(x8723,x8724,x8725,x8726,x8722)) % 153.71/153.56 [873]~E(x8731,x8732)+E(f705(x8731,x8733),f705(x8732,x8733)) % 153.71/153.56 [874]~E(x8741,x8742)+E(f705(x8743,x8741),f705(x8743,x8742)) % 153.71/153.56 [875]~E(x8751,x8752)+E(f142(x8751,x8753),f142(x8752,x8753)) % 153.71/153.56 [876]~E(x8761,x8762)+E(f142(x8763,x8761),f142(x8763,x8762)) % 153.71/153.56 [877]~E(x8771,x8772)+E(f364(x8771,x8773,x8774,x8775,x8776,x8777,x8778,x8779),f364(x8772,x8773,x8774,x8775,x8776,x8777,x8778,x8779)) % 153.71/153.56 [878]~E(x8781,x8782)+E(f364(x8783,x8781,x8784,x8785,x8786,x8787,x8788,x8789),f364(x8783,x8782,x8784,x8785,x8786,x8787,x8788,x8789)) % 153.71/153.56 [879]~E(x8791,x8792)+E(f364(x8793,x8794,x8791,x8795,x8796,x8797,x8798,x8799),f364(x8793,x8794,x8792,x8795,x8796,x8797,x8798,x8799)) % 153.71/153.56 [880]~E(x8801,x8802)+E(f364(x8803,x8804,x8805,x8801,x8806,x8807,x8808,x8809),f364(x8803,x8804,x8805,x8802,x8806,x8807,x8808,x8809)) % 153.71/153.56 [881]~E(x8811,x8812)+E(f364(x8813,x8814,x8815,x8816,x8811,x8817,x8818,x8819),f364(x8813,x8814,x8815,x8816,x8812,x8817,x8818,x8819)) % 153.71/153.56 [882]~E(x8821,x8822)+E(f364(x8823,x8824,x8825,x8826,x8827,x8821,x8828,x8829),f364(x8823,x8824,x8825,x8826,x8827,x8822,x8828,x8829)) % 153.71/153.56 [883]~E(x8831,x8832)+E(f364(x8833,x8834,x8835,x8836,x8837,x8838,x8831,x8839),f364(x8833,x8834,x8835,x8836,x8837,x8838,x8832,x8839)) % 153.71/153.56 [884]~E(x8841,x8842)+E(f364(x8843,x8844,x8845,x8846,x8847,x8848,x8849,x8841),f364(x8843,x8844,x8845,x8846,x8847,x8848,x8849,x8842)) % 153.71/153.56 [885]~E(x8851,x8852)+E(f780(x8851,x8853,x8854),f780(x8852,x8853,x8854)) % 153.71/153.56 [886]~E(x8861,x8862)+E(f780(x8863,x8861,x8864),f780(x8863,x8862,x8864)) % 153.71/153.56 [887]~E(x8871,x8872)+E(f780(x8873,x8874,x8871),f780(x8873,x8874,x8872)) % 153.71/153.56 [888]~E(x8881,x8882)+E(f414(x8881,x8883,x8884),f414(x8882,x8883,x8884)) % 153.71/153.56 [889]~E(x8891,x8892)+E(f414(x8893,x8891,x8894),f414(x8893,x8892,x8894)) % 153.71/153.56 [890]~E(x8901,x8902)+E(f414(x8903,x8904,x8901),f414(x8903,x8904,x8902)) % 153.71/153.56 [891]~E(x8911,x8912)+E(f735(x8911,x8913,x8914,x8915),f735(x8912,x8913,x8914,x8915)) % 153.71/153.56 [892]~E(x8921,x8922)+E(f735(x8923,x8921,x8924,x8925),f735(x8923,x8922,x8924,x8925)) % 153.71/153.56 [893]~E(x8931,x8932)+E(f735(x8933,x8934,x8931,x8935),f735(x8933,x8934,x8932,x8935)) % 153.71/153.56 [894]~E(x8941,x8942)+E(f735(x8943,x8944,x8945,x8941),f735(x8943,x8944,x8945,x8942)) % 153.71/153.56 [895]~E(x8951,x8952)+E(f127(x8951),f127(x8952)) % 153.71/153.56 [896]~E(x8961,x8962)+E(f529(x8961,x8963,x8964,x8965,x8966,x8967),f529(x8962,x8963,x8964,x8965,x8966,x8967)) % 153.71/153.56 [897]~E(x8971,x8972)+E(f529(x8973,x8971,x8974,x8975,x8976,x8977),f529(x8973,x8972,x8974,x8975,x8976,x8977)) % 153.71/153.56 [898]~E(x8981,x8982)+E(f529(x8983,x8984,x8981,x8985,x8986,x8987),f529(x8983,x8984,x8982,x8985,x8986,x8987)) % 153.71/153.56 [899]~E(x8991,x8992)+E(f529(x8993,x8994,x8995,x8991,x8996,x8997),f529(x8993,x8994,x8995,x8992,x8996,x8997)) % 153.71/153.56 [900]~E(x9001,x9002)+E(f529(x9003,x9004,x9005,x9006,x9001,x9007),f529(x9003,x9004,x9005,x9006,x9002,x9007)) % 153.71/153.56 [901]~E(x9011,x9012)+E(f529(x9013,x9014,x9015,x9016,x9017,x9011),f529(x9013,x9014,x9015,x9016,x9017,x9012)) % 153.71/153.56 [902]~E(x9021,x9022)+E(f67(x9021,x9023,x9024),f67(x9022,x9023,x9024)) % 153.71/153.56 [903]~E(x9031,x9032)+E(f67(x9033,x9031,x9034),f67(x9033,x9032,x9034)) % 153.71/153.56 [904]~E(x9041,x9042)+E(f67(x9043,x9044,x9041),f67(x9043,x9044,x9042)) % 153.71/153.56 [905]~E(x9051,x9052)+E(f641(x9051,x9053,x9054,x9055,x9056),f641(x9052,x9053,x9054,x9055,x9056)) % 153.71/153.56 [906]~E(x9061,x9062)+E(f641(x9063,x9061,x9064,x9065,x9066),f641(x9063,x9062,x9064,x9065,x9066)) % 153.71/153.56 [907]~E(x9071,x9072)+E(f641(x9073,x9074,x9071,x9075,x9076),f641(x9073,x9074,x9072,x9075,x9076)) % 153.71/153.56 [908]~E(x9081,x9082)+E(f641(x9083,x9084,x9085,x9081,x9086),f641(x9083,x9084,x9085,x9082,x9086)) % 153.71/153.56 [909]~E(x9091,x9092)+E(f641(x9093,x9094,x9095,x9096,x9091),f641(x9093,x9094,x9095,x9096,x9092)) % 153.71/153.56 [910]~E(x9101,x9102)+E(f505(x9101,x9103,x9104,x9105),f505(x9102,x9103,x9104,x9105)) % 153.71/153.56 [911]~E(x9111,x9112)+E(f505(x9113,x9111,x9114,x9115),f505(x9113,x9112,x9114,x9115)) % 153.71/153.56 [912]~E(x9121,x9122)+E(f505(x9123,x9124,x9121,x9125),f505(x9123,x9124,x9122,x9125)) % 153.71/153.56 [913]~E(x9131,x9132)+E(f505(x9133,x9134,x9135,x9131),f505(x9133,x9134,x9135,x9132)) % 153.71/153.56 [914]~E(x9141,x9142)+E(f670(x9141,x9143,x9144),f670(x9142,x9143,x9144)) % 153.71/153.56 [915]~E(x9151,x9152)+E(f670(x9153,x9151,x9154),f670(x9153,x9152,x9154)) % 153.71/153.56 [916]~E(x9161,x9162)+E(f670(x9163,x9164,x9161),f670(x9163,x9164,x9162)) % 153.71/153.56 [917]~E(x9171,x9172)+E(f506(x9171,x9173,x9174,x9175,x9176),f506(x9172,x9173,x9174,x9175,x9176)) % 153.71/153.56 [918]~E(x9181,x9182)+E(f506(x9183,x9181,x9184,x9185,x9186),f506(x9183,x9182,x9184,x9185,x9186)) % 153.71/153.56 [919]~E(x9191,x9192)+E(f506(x9193,x9194,x9191,x9195,x9196),f506(x9193,x9194,x9192,x9195,x9196)) % 153.71/153.56 [920]~E(x9201,x9202)+E(f506(x9203,x9204,x9205,x9201,x9206),f506(x9203,x9204,x9205,x9202,x9206)) % 153.71/153.56 [921]~E(x9211,x9212)+E(f506(x9213,x9214,x9215,x9216,x9211),f506(x9213,x9214,x9215,x9216,x9212)) % 153.71/153.56 [922]~E(x9221,x9222)+E(f628(x9221,x9223,x9224,x9225,x9226),f628(x9222,x9223,x9224,x9225,x9226)) % 153.71/153.56 [923]~E(x9231,x9232)+E(f628(x9233,x9231,x9234,x9235,x9236),f628(x9233,x9232,x9234,x9235,x9236)) % 153.71/153.56 [924]~E(x9241,x9242)+E(f628(x9243,x9244,x9241,x9245,x9246),f628(x9243,x9244,x9242,x9245,x9246)) % 153.71/153.56 [925]~E(x9251,x9252)+E(f628(x9253,x9254,x9255,x9251,x9256),f628(x9253,x9254,x9255,x9252,x9256)) % 153.71/153.56 [926]~E(x9261,x9262)+E(f628(x9263,x9264,x9265,x9266,x9261),f628(x9263,x9264,x9265,x9266,x9262)) % 153.71/153.56 [927]~E(x9271,x9272)+E(f229(x9271,x9273),f229(x9272,x9273)) % 153.71/153.56 [928]~E(x9281,x9282)+E(f229(x9283,x9281),f229(x9283,x9282)) % 153.71/153.56 [929]~E(x9291,x9292)+E(f368(x9291,x9293,x9294,x9295),f368(x9292,x9293,x9294,x9295)) % 153.71/153.56 [930]~E(x9301,x9302)+E(f368(x9303,x9301,x9304,x9305),f368(x9303,x9302,x9304,x9305)) % 153.71/153.56 [931]~E(x9311,x9312)+E(f368(x9313,x9314,x9311,x9315),f368(x9313,x9314,x9312,x9315)) % 153.71/153.56 [932]~E(x9321,x9322)+E(f368(x9323,x9324,x9325,x9321),f368(x9323,x9324,x9325,x9322)) % 153.71/153.56 [933]~E(x9331,x9332)+E(f584(x9331,x9333),f584(x9332,x9333)) % 153.71/153.56 [934]~E(x9341,x9342)+E(f584(x9343,x9341),f584(x9343,x9342)) % 153.71/153.56 [935]~E(x9351,x9352)+E(f580(x9351,x9353,x9354,x9355),f580(x9352,x9353,x9354,x9355)) % 153.71/153.56 [936]~E(x9361,x9362)+E(f580(x9363,x9361,x9364,x9365),f580(x9363,x9362,x9364,x9365)) % 153.71/153.56 [937]~E(x9371,x9372)+E(f580(x9373,x9374,x9371,x9375),f580(x9373,x9374,x9372,x9375)) % 153.71/153.56 [938]~E(x9381,x9382)+E(f580(x9383,x9384,x9385,x9381),f580(x9383,x9384,x9385,x9382)) % 153.71/153.56 [939]~E(x9391,x9392)+E(f428(x9391,x9393,x9394,x9395,x9396),f428(x9392,x9393,x9394,x9395,x9396)) % 153.71/153.56 [940]~E(x9401,x9402)+E(f428(x9403,x9401,x9404,x9405,x9406),f428(x9403,x9402,x9404,x9405,x9406)) % 153.71/153.56 [941]~E(x9411,x9412)+E(f428(x9413,x9414,x9411,x9415,x9416),f428(x9413,x9414,x9412,x9415,x9416)) % 153.71/153.56 [942]~E(x9421,x9422)+E(f428(x9423,x9424,x9425,x9421,x9426),f428(x9423,x9424,x9425,x9422,x9426)) % 153.71/153.56 [943]~E(x9431,x9432)+E(f428(x9433,x9434,x9435,x9436,x9431),f428(x9433,x9434,x9435,x9436,x9432)) % 153.71/153.56 [944]~E(x9441,x9442)+E(f782(x9441,x9443,x9444),f782(x9442,x9443,x9444)) % 153.71/153.56 [945]~E(x9451,x9452)+E(f782(x9453,x9451,x9454),f782(x9453,x9452,x9454)) % 153.71/153.56 [946]~E(x9461,x9462)+E(f782(x9463,x9464,x9461),f782(x9463,x9464,x9462)) % 153.71/153.56 [947]~E(x9471,x9472)+E(f774(x9471,x9473,x9474),f774(x9472,x9473,x9474)) % 153.71/153.56 [948]~E(x9481,x9482)+E(f774(x9483,x9481,x9484),f774(x9483,x9482,x9484)) % 153.71/153.56 [949]~E(x9491,x9492)+E(f774(x9493,x9494,x9491),f774(x9493,x9494,x9492)) % 153.71/153.56 [950]~E(x9501,x9502)+E(f189(x9501,x9503),f189(x9502,x9503)) % 153.71/153.56 [951]~E(x9511,x9512)+E(f189(x9513,x9511),f189(x9513,x9512)) % 153.71/153.56 [952]~E(x9521,x9522)+E(f593(x9521,x9523,x9524,x9525,x9526,x9527),f593(x9522,x9523,x9524,x9525,x9526,x9527)) % 153.71/153.56 [953]~E(x9531,x9532)+E(f593(x9533,x9531,x9534,x9535,x9536,x9537),f593(x9533,x9532,x9534,x9535,x9536,x9537)) % 153.71/153.56 [954]~E(x9541,x9542)+E(f593(x9543,x9544,x9541,x9545,x9546,x9547),f593(x9543,x9544,x9542,x9545,x9546,x9547)) % 153.71/153.56 [955]~E(x9551,x9552)+E(f593(x9553,x9554,x9555,x9551,x9556,x9557),f593(x9553,x9554,x9555,x9552,x9556,x9557)) % 153.71/153.56 [956]~E(x9561,x9562)+E(f593(x9563,x9564,x9565,x9566,x9561,x9567),f593(x9563,x9564,x9565,x9566,x9562,x9567)) % 153.71/153.56 [957]~E(x9571,x9572)+E(f593(x9573,x9574,x9575,x9576,x9577,x9571),f593(x9573,x9574,x9575,x9576,x9577,x9572)) % 153.71/153.56 [958]~E(x9581,x9582)+E(f117(x9581,x9583),f117(x9582,x9583)) % 153.71/153.56 [959]~E(x9591,x9592)+E(f117(x9593,x9591),f117(x9593,x9592)) % 153.71/153.56 [960]~E(x9601,x9602)+E(f181(x9601,x9603),f181(x9602,x9603)) % 153.71/153.56 [961]~E(x9611,x9612)+E(f181(x9613,x9611),f181(x9613,x9612)) % 153.71/153.56 [962]~E(x9621,x9622)+E(f308(x9621,x9623),f308(x9622,x9623)) % 153.71/153.56 [963]~E(x9631,x9632)+E(f308(x9633,x9631),f308(x9633,x9632)) % 153.71/153.56 [964]~E(x9641,x9642)+E(f118(x9641,x9643),f118(x9642,x9643)) % 153.71/153.56 [965]~E(x9651,x9652)+E(f118(x9653,x9651),f118(x9653,x9652)) % 153.71/153.56 [966]~E(x9661,x9662)+E(f147(x9661,x9663,x9664,x9665),f147(x9662,x9663,x9664,x9665)) % 153.71/153.56 [967]~E(x9671,x9672)+E(f147(x9673,x9671,x9674,x9675),f147(x9673,x9672,x9674,x9675)) % 153.71/153.56 [968]~E(x9681,x9682)+E(f147(x9683,x9684,x9681,x9685),f147(x9683,x9684,x9682,x9685)) % 153.71/153.56 [969]~E(x9691,x9692)+E(f147(x9693,x9694,x9695,x9691),f147(x9693,x9694,x9695,x9692)) % 153.71/153.56 [970]~E(x9701,x9702)+E(f713(x9701,x9703,x9704),f713(x9702,x9703,x9704)) % 153.71/153.56 [971]~E(x9711,x9712)+E(f713(x9713,x9711,x9714),f713(x9713,x9712,x9714)) % 153.71/153.56 [972]~E(x9721,x9722)+E(f713(x9723,x9724,x9721),f713(x9723,x9724,x9722)) % 153.71/153.56 [973]~E(x9731,x9732)+E(f482(x9731,x9733,x9734,x9735,x9736,x9737),f482(x9732,x9733,x9734,x9735,x9736,x9737)) % 153.71/153.56 [974]~E(x9741,x9742)+E(f482(x9743,x9741,x9744,x9745,x9746,x9747),f482(x9743,x9742,x9744,x9745,x9746,x9747)) % 153.71/153.56 [975]~E(x9751,x9752)+E(f482(x9753,x9754,x9751,x9755,x9756,x9757),f482(x9753,x9754,x9752,x9755,x9756,x9757)) % 153.71/153.56 [976]~E(x9761,x9762)+E(f482(x9763,x9764,x9765,x9761,x9766,x9767),f482(x9763,x9764,x9765,x9762,x9766,x9767)) % 153.71/153.56 [977]~E(x9771,x9772)+E(f482(x9773,x9774,x9775,x9776,x9771,x9777),f482(x9773,x9774,x9775,x9776,x9772,x9777)) % 153.71/153.56 [978]~E(x9781,x9782)+E(f482(x9783,x9784,x9785,x9786,x9787,x9781),f482(x9783,x9784,x9785,x9786,x9787,x9782)) % 153.71/153.56 [979]~E(x9791,x9792)+E(f260(x9791,x9793),f260(x9792,x9793)) % 153.71/153.56 [980]~E(x9801,x9802)+E(f260(x9803,x9801),f260(x9803,x9802)) % 153.71/153.56 [981]~E(x9811,x9812)+E(f371(x9811,x9813,x9814,x9815),f371(x9812,x9813,x9814,x9815)) % 153.71/153.56 [982]~E(x9821,x9822)+E(f371(x9823,x9821,x9824,x9825),f371(x9823,x9822,x9824,x9825)) % 153.71/153.56 [983]~E(x9831,x9832)+E(f371(x9833,x9834,x9831,x9835),f371(x9833,x9834,x9832,x9835)) % 153.71/153.56 [984]~E(x9841,x9842)+E(f371(x9843,x9844,x9845,x9841),f371(x9843,x9844,x9845,x9842)) % 153.71/153.56 [985]~E(x9851,x9852)+E(f185(x9851,x9853,x9854,x9855),f185(x9852,x9853,x9854,x9855)) % 153.71/153.56 [986]~E(x9861,x9862)+E(f185(x9863,x9861,x9864,x9865),f185(x9863,x9862,x9864,x9865)) % 153.71/153.56 [987]~E(x9871,x9872)+E(f185(x9873,x9874,x9871,x9875),f185(x9873,x9874,x9872,x9875)) % 153.71/153.56 [988]~E(x9881,x9882)+E(f185(x9883,x9884,x9885,x9881),f185(x9883,x9884,x9885,x9882)) % 153.71/153.56 [989]~E(x9891,x9892)+E(f621(x9891,x9893,x9894,x9895,x9896,x9897,x9898),f621(x9892,x9893,x9894,x9895,x9896,x9897,x9898)) % 153.71/153.56 [990]~E(x9901,x9902)+E(f621(x9903,x9901,x9904,x9905,x9906,x9907,x9908),f621(x9903,x9902,x9904,x9905,x9906,x9907,x9908)) % 153.71/153.56 [991]~E(x9911,x9912)+E(f621(x9913,x9914,x9911,x9915,x9916,x9917,x9918),f621(x9913,x9914,x9912,x9915,x9916,x9917,x9918)) % 153.71/153.56 [992]~E(x9921,x9922)+E(f621(x9923,x9924,x9925,x9921,x9926,x9927,x9928),f621(x9923,x9924,x9925,x9922,x9926,x9927,x9928)) % 153.71/153.56 [993]~E(x9931,x9932)+E(f621(x9933,x9934,x9935,x9936,x9931,x9937,x9938),f621(x9933,x9934,x9935,x9936,x9932,x9937,x9938)) % 153.71/153.56 [994]~E(x9941,x9942)+E(f621(x9943,x9944,x9945,x9946,x9947,x9941,x9948),f621(x9943,x9944,x9945,x9946,x9947,x9942,x9948)) % 153.71/153.56 [995]~E(x9951,x9952)+E(f621(x9953,x9954,x9955,x9956,x9957,x9958,x9951),f621(x9953,x9954,x9955,x9956,x9957,x9958,x9952)) % 153.71/153.56 [996]~E(x9961,x9962)+E(f552(x9961,x9963,x9964,x9965,x9966),f552(x9962,x9963,x9964,x9965,x9966)) % 153.71/153.56 [997]~E(x9971,x9972)+E(f552(x9973,x9971,x9974,x9975,x9976),f552(x9973,x9972,x9974,x9975,x9976)) % 153.71/153.56 [998]~E(x9981,x9982)+E(f552(x9983,x9984,x9981,x9985,x9986),f552(x9983,x9984,x9982,x9985,x9986)) % 153.71/153.56 [999]~E(x9991,x9992)+E(f552(x9993,x9994,x9995,x9991,x9996),f552(x9993,x9994,x9995,x9992,x9996)) % 153.71/153.56 [1000]~E(x10001,x10002)+E(f552(x10003,x10004,x10005,x10006,x10001),f552(x10003,x10004,x10005,x10006,x10002)) % 153.71/153.56 [1001]~E(x10011,x10012)+E(f467(x10011,x10013,x10014),f467(x10012,x10013,x10014)) % 153.71/153.56 [1002]~E(x10021,x10022)+E(f467(x10023,x10021,x10024),f467(x10023,x10022,x10024)) % 153.71/153.56 [1003]~E(x10031,x10032)+E(f467(x10033,x10034,x10031),f467(x10033,x10034,x10032)) % 153.71/153.56 [1004]~E(x10041,x10042)+E(f716(x10041,x10043,x10044,x10045),f716(x10042,x10043,x10044,x10045)) % 153.71/153.56 [1005]~E(x10051,x10052)+E(f716(x10053,x10051,x10054,x10055),f716(x10053,x10052,x10054,x10055)) % 153.71/153.56 [1006]~E(x10061,x10062)+E(f716(x10063,x10064,x10061,x10065),f716(x10063,x10064,x10062,x10065)) % 153.71/153.56 [1007]~E(x10071,x10072)+E(f716(x10073,x10074,x10075,x10071),f716(x10073,x10074,x10075,x10072)) % 153.71/153.56 [1008]~E(x10081,x10082)+E(f184(x10081,x10083,x10084),f184(x10082,x10083,x10084)) % 153.71/153.56 [1009]~E(x10091,x10092)+E(f184(x10093,x10091,x10094),f184(x10093,x10092,x10094)) % 153.71/153.56 [1010]~E(x10101,x10102)+E(f184(x10103,x10104,x10101),f184(x10103,x10104,x10102)) % 153.71/153.56 [1011]~E(x10111,x10112)+E(f619(x10111,x10113,x10114,x10115,x10116,x10117,x10118,x10119),f619(x10112,x10113,x10114,x10115,x10116,x10117,x10118,x10119)) % 153.71/153.56 [1012]~E(x10121,x10122)+E(f619(x10123,x10121,x10124,x10125,x10126,x10127,x10128,x10129),f619(x10123,x10122,x10124,x10125,x10126,x10127,x10128,x10129)) % 153.71/153.56 [1013]~E(x10131,x10132)+E(f619(x10133,x10134,x10131,x10135,x10136,x10137,x10138,x10139),f619(x10133,x10134,x10132,x10135,x10136,x10137,x10138,x10139)) % 153.71/153.56 [1014]~E(x10141,x10142)+E(f619(x10143,x10144,x10145,x10141,x10146,x10147,x10148,x10149),f619(x10143,x10144,x10145,x10142,x10146,x10147,x10148,x10149)) % 153.71/153.56 [1015]~E(x10151,x10152)+E(f619(x10153,x10154,x10155,x10156,x10151,x10157,x10158,x10159),f619(x10153,x10154,x10155,x10156,x10152,x10157,x10158,x10159)) % 153.71/153.56 [1016]~E(x10161,x10162)+E(f619(x10163,x10164,x10165,x10166,x10167,x10161,x10168,x10169),f619(x10163,x10164,x10165,x10166,x10167,x10162,x10168,x10169)) % 153.71/153.56 [1017]~E(x10171,x10172)+E(f619(x10173,x10174,x10175,x10176,x10177,x10178,x10171,x10179),f619(x10173,x10174,x10175,x10176,x10177,x10178,x10172,x10179)) % 153.71/153.56 [1018]~E(x10181,x10182)+E(f619(x10183,x10184,x10185,x10186,x10187,x10188,x10189,x10181),f619(x10183,x10184,x10185,x10186,x10187,x10188,x10189,x10182)) % 153.71/153.56 [1019]~E(x10191,x10192)+E(f291(x10191),f291(x10192)) % 153.71/153.56 [1020]~E(x10201,x10202)+E(f419(x10201,x10203,x10204,x10205),f419(x10202,x10203,x10204,x10205)) % 153.71/153.56 [1021]~E(x10211,x10212)+E(f419(x10213,x10211,x10214,x10215),f419(x10213,x10212,x10214,x10215)) % 153.71/153.56 [1022]~E(x10221,x10222)+E(f419(x10223,x10224,x10221,x10225),f419(x10223,x10224,x10222,x10225)) % 153.71/153.56 [1023]~E(x10231,x10232)+E(f419(x10233,x10234,x10235,x10231),f419(x10233,x10234,x10235,x10232)) % 153.71/153.56 [1024]~E(x10241,x10242)+E(f786(x10241,x10243,x10244),f786(x10242,x10243,x10244)) % 153.71/153.56 [1025]~E(x10251,x10252)+E(f786(x10253,x10251,x10254),f786(x10253,x10252,x10254)) % 153.71/153.56 [1026]~E(x10261,x10262)+E(f786(x10263,x10264,x10261),f786(x10263,x10264,x10262)) % 153.71/153.56 [1027]~E(x10271,x10272)+E(f206(x10271,x10273),f206(x10272,x10273)) % 153.71/153.56 [1028]~E(x10281,x10282)+E(f206(x10283,x10281),f206(x10283,x10282)) % 153.71/153.56 [1029]~E(x10291,x10292)+E(f590(x10291,x10293,x10294),f590(x10292,x10293,x10294)) % 153.71/153.56 [1030]~E(x10301,x10302)+E(f590(x10303,x10301,x10304),f590(x10303,x10302,x10304)) % 153.71/153.56 [1031]~E(x10311,x10312)+E(f590(x10313,x10314,x10311),f590(x10313,x10314,x10312)) % 153.71/153.56 [1032]~E(x10321,x10322)+E(f282(x10321,x10323,x10324),f282(x10322,x10323,x10324)) % 153.71/153.56 [1033]~E(x10331,x10332)+E(f282(x10333,x10331,x10334),f282(x10333,x10332,x10334)) % 153.71/153.56 [1034]~E(x10341,x10342)+E(f282(x10343,x10344,x10341),f282(x10343,x10344,x10342)) % 153.71/153.56 [1035]~E(x10351,x10352)+E(f335(x10351,x10353),f335(x10352,x10353)) % 153.71/153.56 [1036]~E(x10361,x10362)+E(f335(x10363,x10361),f335(x10363,x10362)) % 153.71/153.56 [1037]~E(x10371,x10372)+E(f412(x10371,x10373,x10374,x10375),f412(x10372,x10373,x10374,x10375)) % 153.71/153.56 [1038]~E(x10381,x10382)+E(f412(x10383,x10381,x10384,x10385),f412(x10383,x10382,x10384,x10385)) % 153.71/153.56 [1039]~E(x10391,x10392)+E(f412(x10393,x10394,x10391,x10395),f412(x10393,x10394,x10392,x10395)) % 153.71/153.56 [1040]~E(x10401,x10402)+E(f412(x10403,x10404,x10405,x10401),f412(x10403,x10404,x10405,x10402)) % 153.71/153.56 [1041]~E(x10411,x10412)+E(f379(x10411,x10413,x10414,x10415),f379(x10412,x10413,x10414,x10415)) % 153.71/153.56 [1042]~E(x10421,x10422)+E(f379(x10423,x10421,x10424,x10425),f379(x10423,x10422,x10424,x10425)) % 153.71/153.56 [1043]~E(x10431,x10432)+E(f379(x10433,x10434,x10431,x10435),f379(x10433,x10434,x10432,x10435)) % 153.71/153.56 [1044]~E(x10441,x10442)+E(f379(x10443,x10444,x10445,x10441),f379(x10443,x10444,x10445,x10442)) % 153.71/153.56 [1045]~E(x10451,x10452)+E(f554(x10451,x10453,x10454,x10455),f554(x10452,x10453,x10454,x10455)) % 153.71/153.56 [1046]~E(x10461,x10462)+E(f554(x10463,x10461,x10464,x10465),f554(x10463,x10462,x10464,x10465)) % 153.71/153.56 [1047]~E(x10471,x10472)+E(f554(x10473,x10474,x10471,x10475),f554(x10473,x10474,x10472,x10475)) % 153.71/153.56 [1048]~E(x10481,x10482)+E(f554(x10483,x10484,x10485,x10481),f554(x10483,x10484,x10485,x10482)) % 153.71/153.56 [1049]~E(x10491,x10492)+E(f230(x10491,x10493),f230(x10492,x10493)) % 153.71/153.56 [1050]~E(x10501,x10502)+E(f230(x10503,x10501),f230(x10503,x10502)) % 153.71/153.56 [1051]~E(x10511,x10512)+E(f447(x10511,x10513),f447(x10512,x10513)) % 153.71/153.56 [1052]~E(x10521,x10522)+E(f447(x10523,x10521),f447(x10523,x10522)) % 153.71/153.56 [1053]~E(x10531,x10532)+E(f747(x10531,x10533,x10534),f747(x10532,x10533,x10534)) % 153.71/153.56 [1054]~E(x10541,x10542)+E(f747(x10543,x10541,x10544),f747(x10543,x10542,x10544)) % 153.71/153.56 [1055]~E(x10551,x10552)+E(f747(x10553,x10554,x10551),f747(x10553,x10554,x10552)) % 153.71/153.56 [1056]~E(x10561,x10562)+E(f448(x10561,x10563,x10564),f448(x10562,x10563,x10564)) % 153.71/153.56 [1057]~E(x10571,x10572)+E(f448(x10573,x10571,x10574),f448(x10573,x10572,x10574)) % 153.71/153.56 [1058]~E(x10581,x10582)+E(f448(x10583,x10584,x10581),f448(x10583,x10584,x10582)) % 153.71/153.56 [1059]~E(x10591,x10592)+E(f288(x10591),f288(x10592)) % 153.71/153.56 [1060]~E(x10601,x10602)+E(f626(x10601,x10603,x10604,x10605,x10606),f626(x10602,x10603,x10604,x10605,x10606)) % 153.71/153.56 [1061]~E(x10611,x10612)+E(f626(x10613,x10611,x10614,x10615,x10616),f626(x10613,x10612,x10614,x10615,x10616)) % 153.71/153.56 [1062]~E(x10621,x10622)+E(f626(x10623,x10624,x10621,x10625,x10626),f626(x10623,x10624,x10622,x10625,x10626)) % 153.71/153.56 [1063]~E(x10631,x10632)+E(f626(x10633,x10634,x10635,x10631,x10636),f626(x10633,x10634,x10635,x10632,x10636)) % 153.71/153.56 [1064]~E(x10641,x10642)+E(f626(x10643,x10644,x10645,x10646,x10641),f626(x10643,x10644,x10645,x10646,x10642)) % 153.71/153.56 [1065]~E(x10651,x10652)+E(f784(x10651,x10653,x10654),f784(x10652,x10653,x10654)) % 153.71/153.56 [1066]~E(x10661,x10662)+E(f784(x10663,x10661,x10664),f784(x10663,x10662,x10664)) % 153.71/153.56 [1067]~E(x10671,x10672)+E(f784(x10673,x10674,x10671),f784(x10673,x10674,x10672)) % 153.71/153.56 [1068]~E(x10681,x10682)+E(f149(x10681,x10683,x10684),f149(x10682,x10683,x10684)) % 153.71/153.56 [1069]~E(x10691,x10692)+E(f149(x10693,x10691,x10694),f149(x10693,x10692,x10694)) % 153.71/153.56 [1070]~E(x10701,x10702)+E(f149(x10703,x10704,x10701),f149(x10703,x10704,x10702)) % 153.71/153.56 [1071]~E(x10711,x10712)+E(f391(x10711,x10713),f391(x10712,x10713)) % 153.71/153.56 [1072]~E(x10721,x10722)+E(f391(x10723,x10721),f391(x10723,x10722)) % 153.71/153.56 [1073]~E(x10731,x10732)+E(f740(x10731,x10733,x10734,x10735),f740(x10732,x10733,x10734,x10735)) % 153.71/153.56 [1074]~E(x10741,x10742)+E(f740(x10743,x10741,x10744,x10745),f740(x10743,x10742,x10744,x10745)) % 153.71/153.56 [1075]~E(x10751,x10752)+E(f740(x10753,x10754,x10751,x10755),f740(x10753,x10754,x10752,x10755)) % 153.71/153.56 [1076]~E(x10761,x10762)+E(f740(x10763,x10764,x10765,x10761),f740(x10763,x10764,x10765,x10762)) % 153.71/153.56 [1077]~E(x10771,x10772)+E(f385(x10771,x10773,x10774,x10775),f385(x10772,x10773,x10774,x10775)) % 153.71/153.56 [1078]~E(x10781,x10782)+E(f385(x10783,x10781,x10784,x10785),f385(x10783,x10782,x10784,x10785)) % 153.71/153.56 [1079]~E(x10791,x10792)+E(f385(x10793,x10794,x10791,x10795),f385(x10793,x10794,x10792,x10795)) % 153.71/153.56 [1080]~E(x10801,x10802)+E(f385(x10803,x10804,x10805,x10801),f385(x10803,x10804,x10805,x10802)) % 153.71/153.56 [1081]~E(x10811,x10812)+E(f709(x10811),f709(x10812)) % 153.71/153.56 [1082]~E(x10821,x10822)+E(f789(x10821,x10823,x10824),f789(x10822,x10823,x10824)) % 153.71/153.56 [1083]~E(x10831,x10832)+E(f789(x10833,x10831,x10834),f789(x10833,x10832,x10834)) % 153.71/153.56 [1084]~E(x10841,x10842)+E(f789(x10843,x10844,x10841),f789(x10843,x10844,x10842)) % 153.71/153.56 [1085]~E(x10851,x10852)+E(f415(x10851,x10853,x10854),f415(x10852,x10853,x10854)) % 153.71/153.56 [1086]~E(x10861,x10862)+E(f415(x10863,x10861,x10864),f415(x10863,x10862,x10864)) % 153.71/153.56 [1087]~E(x10871,x10872)+E(f415(x10873,x10874,x10871),f415(x10873,x10874,x10872)) % 153.71/153.56 [1088]~E(x10881,x10882)+E(f596(x10881,x10883,x10884,x10885,x10886,x10887),f596(x10882,x10883,x10884,x10885,x10886,x10887)) % 153.71/153.56 [1089]~E(x10891,x10892)+E(f596(x10893,x10891,x10894,x10895,x10896,x10897),f596(x10893,x10892,x10894,x10895,x10896,x10897)) % 153.71/153.56 [1090]~E(x10901,x10902)+E(f596(x10903,x10904,x10901,x10905,x10906,x10907),f596(x10903,x10904,x10902,x10905,x10906,x10907)) % 153.71/153.56 [1091]~E(x10911,x10912)+E(f596(x10913,x10914,x10915,x10911,x10916,x10917),f596(x10913,x10914,x10915,x10912,x10916,x10917)) % 153.71/153.56 [1092]~E(x10921,x10922)+E(f596(x10923,x10924,x10925,x10926,x10921,x10927),f596(x10923,x10924,x10925,x10926,x10922,x10927)) % 153.71/153.56 [1093]~E(x10931,x10932)+E(f596(x10933,x10934,x10935,x10936,x10937,x10931),f596(x10933,x10934,x10935,x10936,x10937,x10932)) % 153.71/153.56 [1094]~E(x10941,x10942)+E(f216(x10941,x10943),f216(x10942,x10943)) % 153.71/153.56 [1095]~E(x10951,x10952)+E(f216(x10953,x10951),f216(x10953,x10952)) % 153.71/153.56 [1096]~E(x10961,x10962)+E(f777(x10961,x10963,x10964),f777(x10962,x10963,x10964)) % 153.71/153.56 [1097]~E(x10971,x10972)+E(f777(x10973,x10971,x10974),f777(x10973,x10972,x10974)) % 153.71/153.56 [1098]~E(x10981,x10982)+E(f777(x10983,x10984,x10981),f777(x10983,x10984,x10982)) % 153.71/153.56 [1099]~E(x10991,x10992)+E(f620(x10991,x10993,x10994,x10995,x10996),f620(x10992,x10993,x10994,x10995,x10996)) % 153.71/153.56 [1100]~E(x11001,x11002)+E(f620(x11003,x11001,x11004,x11005,x11006),f620(x11003,x11002,x11004,x11005,x11006)) % 153.71/153.56 [1101]~E(x11011,x11012)+E(f620(x11013,x11014,x11011,x11015,x11016),f620(x11013,x11014,x11012,x11015,x11016)) % 153.71/153.56 [1102]~E(x11021,x11022)+E(f620(x11023,x11024,x11025,x11021,x11026),f620(x11023,x11024,x11025,x11022,x11026)) % 153.71/153.56 [1103]~E(x11031,x11032)+E(f620(x11033,x11034,x11035,x11036,x11031),f620(x11033,x11034,x11035,x11036,x11032)) % 153.71/153.56 [1104]~E(x11041,x11042)+E(f647(x11041,x11043,x11044),f647(x11042,x11043,x11044)) % 153.71/153.56 [1105]~E(x11051,x11052)+E(f647(x11053,x11051,x11054),f647(x11053,x11052,x11054)) % 153.71/153.56 [1106]~E(x11061,x11062)+E(f647(x11063,x11064,x11061),f647(x11063,x11064,x11062)) % 153.71/153.56 [1107]~E(x11071,x11072)+E(f753(x11071,x11073,x11074),f753(x11072,x11073,x11074)) % 153.71/153.56 [1108]~E(x11081,x11082)+E(f753(x11083,x11081,x11084),f753(x11083,x11082,x11084)) % 153.71/153.56 [1109]~E(x11091,x11092)+E(f753(x11093,x11094,x11091),f753(x11093,x11094,x11092)) % 153.71/153.56 [1110]~E(x11101,x11102)+E(f811(x11101,x11103,x11104),f811(x11102,x11103,x11104)) % 153.71/153.56 [1111]~E(x11111,x11112)+E(f811(x11113,x11111,x11114),f811(x11113,x11112,x11114)) % 153.71/153.56 [1112]~E(x11121,x11122)+E(f811(x11123,x11124,x11121),f811(x11123,x11124,x11122)) % 153.71/153.56 [1113]~E(x11131,x11132)+E(f435(x11131,x11133),f435(x11132,x11133)) % 153.71/153.56 [1114]~E(x11141,x11142)+E(f435(x11143,x11141),f435(x11143,x11142)) % 153.71/153.56 [1115]~E(x11151,x11152)+E(f694(x11151,x11153,x11154,x11155),f694(x11152,x11153,x11154,x11155)) % 153.71/153.56 [1116]~E(x11161,x11162)+E(f694(x11163,x11161,x11164,x11165),f694(x11163,x11162,x11164,x11165)) % 153.71/153.56 [1117]~E(x11171,x11172)+E(f694(x11173,x11174,x11171,x11175),f694(x11173,x11174,x11172,x11175)) % 153.71/153.56 [1118]~E(x11181,x11182)+E(f694(x11183,x11184,x11185,x11181),f694(x11183,x11184,x11185,x11182)) % 153.71/153.56 [1119]~E(x11191,x11192)+E(f643(x11191,x11193,x11194,x11195,x11196),f643(x11192,x11193,x11194,x11195,x11196)) % 153.71/153.56 [1120]~E(x11201,x11202)+E(f643(x11203,x11201,x11204,x11205,x11206),f643(x11203,x11202,x11204,x11205,x11206)) % 153.71/153.56 [1121]~E(x11211,x11212)+E(f643(x11213,x11214,x11211,x11215,x11216),f643(x11213,x11214,x11212,x11215,x11216)) % 153.71/153.56 [1122]~E(x11221,x11222)+E(f643(x11223,x11224,x11225,x11221,x11226),f643(x11223,x11224,x11225,x11222,x11226)) % 153.71/153.56 [1123]~E(x11231,x11232)+E(f643(x11233,x11234,x11235,x11236,x11231),f643(x11233,x11234,x11235,x11236,x11232)) % 153.71/153.56 [1124]~E(x11241,x11242)+E(f679(x11241,x11243,x11244),f679(x11242,x11243,x11244)) % 153.71/153.56 [1125]~E(x11251,x11252)+E(f679(x11253,x11251,x11254),f679(x11253,x11252,x11254)) % 153.71/153.56 [1126]~E(x11261,x11262)+E(f679(x11263,x11264,x11261),f679(x11263,x11264,x11262)) % 153.71/153.56 [1127]~E(x11271,x11272)+E(f547(x11271,x11273,x11274),f547(x11272,x11273,x11274)) % 153.71/153.56 [1128]~E(x11281,x11282)+E(f547(x11283,x11281,x11284),f547(x11283,x11282,x11284)) % 153.71/153.56 [1129]~E(x11291,x11292)+E(f547(x11293,x11294,x11291),f547(x11293,x11294,x11292)) % 153.71/153.56 [1130]~E(x11301,x11302)+E(f188(x11301,x11303,x11304,x11305),f188(x11302,x11303,x11304,x11305)) % 153.71/153.56 [1131]~E(x11311,x11312)+E(f188(x11313,x11311,x11314,x11315),f188(x11313,x11312,x11314,x11315)) % 153.71/153.56 [1132]~E(x11321,x11322)+E(f188(x11323,x11324,x11321,x11325),f188(x11323,x11324,x11322,x11325)) % 153.71/153.56 [1133]~E(x11331,x11332)+E(f188(x11333,x11334,x11335,x11331),f188(x11333,x11334,x11335,x11332)) % 153.71/153.56 [1134]~E(x11341,x11342)+E(f819(x11341,x11343),f819(x11342,x11343)) % 153.71/153.56 [1135]~E(x11351,x11352)+E(f819(x11353,x11351),f819(x11353,x11352)) % 153.71/153.56 [1136]~E(x11361,x11362)+E(f573(x11361,x11363,x11364,x11365),f573(x11362,x11363,x11364,x11365)) % 153.71/153.56 [1137]~E(x11371,x11372)+E(f573(x11373,x11371,x11374,x11375),f573(x11373,x11372,x11374,x11375)) % 153.71/153.56 [1138]~E(x11381,x11382)+E(f573(x11383,x11384,x11381,x11385),f573(x11383,x11384,x11382,x11385)) % 153.71/153.56 [1139]~E(x11391,x11392)+E(f573(x11393,x11394,x11395,x11391),f573(x11393,x11394,x11395,x11392)) % 153.71/153.56 [1140]~E(x11401,x11402)+E(f605(x11401,x11403,x11404,x11405,x11406,x11407),f605(x11402,x11403,x11404,x11405,x11406,x11407)) % 153.71/153.56 [1141]~E(x11411,x11412)+E(f605(x11413,x11411,x11414,x11415,x11416,x11417),f605(x11413,x11412,x11414,x11415,x11416,x11417)) % 153.71/153.56 [1142]~E(x11421,x11422)+E(f605(x11423,x11424,x11421,x11425,x11426,x11427),f605(x11423,x11424,x11422,x11425,x11426,x11427)) % 153.71/153.56 [1143]~E(x11431,x11432)+E(f605(x11433,x11434,x11435,x11431,x11436,x11437),f605(x11433,x11434,x11435,x11432,x11436,x11437)) % 153.71/153.56 [1144]~E(x11441,x11442)+E(f605(x11443,x11444,x11445,x11446,x11441,x11447),f605(x11443,x11444,x11445,x11446,x11442,x11447)) % 153.71/153.56 [1145]~E(x11451,x11452)+E(f605(x11453,x11454,x11455,x11456,x11457,x11451),f605(x11453,x11454,x11455,x11456,x11457,x11452)) % 153.71/153.56 [1146]~E(x11461,x11462)+E(f806(x11461,x11463,x11464),f806(x11462,x11463,x11464)) % 153.71/153.56 [1147]~E(x11471,x11472)+E(f806(x11473,x11471,x11474),f806(x11473,x11472,x11474)) % 153.71/153.56 [1148]~E(x11481,x11482)+E(f806(x11483,x11484,x11481),f806(x11483,x11484,x11482)) % 153.71/153.56 [1149]~E(x11491,x11492)+E(f299(x11491,x11493),f299(x11492,x11493)) % 153.71/153.56 [1150]~E(x11501,x11502)+E(f299(x11503,x11501),f299(x11503,x11502)) % 153.71/153.56 [1151]~E(x11511,x11512)+E(f302(x11511,x11513,x11514),f302(x11512,x11513,x11514)) % 153.71/153.56 [1152]~E(x11521,x11522)+E(f302(x11523,x11521,x11524),f302(x11523,x11522,x11524)) % 153.71/153.56 [1153]~E(x11531,x11532)+E(f302(x11533,x11534,x11531),f302(x11533,x11534,x11532)) % 153.71/153.56 [1154]~E(x11541,x11542)+E(f522(x11541,x11543,x11544,x11545,x11546),f522(x11542,x11543,x11544,x11545,x11546)) % 153.71/153.56 [1155]~E(x11551,x11552)+E(f522(x11553,x11551,x11554,x11555,x11556),f522(x11553,x11552,x11554,x11555,x11556)) % 153.71/153.56 [1156]~E(x11561,x11562)+E(f522(x11563,x11564,x11561,x11565,x11566),f522(x11563,x11564,x11562,x11565,x11566)) % 153.71/153.56 [1157]~E(x11571,x11572)+E(f522(x11573,x11574,x11575,x11571,x11576),f522(x11573,x11574,x11575,x11572,x11576)) % 153.71/153.56 [1158]~E(x11581,x11582)+E(f522(x11583,x11584,x11585,x11586,x11581),f522(x11583,x11584,x11585,x11586,x11582)) % 153.71/153.56 [1159]~E(x11591,x11592)+E(f726(x11591,x11593,x11594,x11595),f726(x11592,x11593,x11594,x11595)) % 153.71/153.56 [1160]~E(x11601,x11602)+E(f726(x11603,x11601,x11604,x11605),f726(x11603,x11602,x11604,x11605)) % 153.71/153.56 [1161]~E(x11611,x11612)+E(f726(x11613,x11614,x11611,x11615),f726(x11613,x11614,x11612,x11615)) % 153.71/153.56 [1162]~E(x11621,x11622)+E(f726(x11623,x11624,x11625,x11621),f726(x11623,x11624,x11625,x11622)) % 153.71/153.56 [1163]~E(x11631,x11632)+E(f403(x11631,x11633,x11634,x11635,x11636),f403(x11632,x11633,x11634,x11635,x11636)) % 153.71/153.56 [1164]~E(x11641,x11642)+E(f403(x11643,x11641,x11644,x11645,x11646),f403(x11643,x11642,x11644,x11645,x11646)) % 153.71/153.56 [1165]~E(x11651,x11652)+E(f403(x11653,x11654,x11651,x11655,x11656),f403(x11653,x11654,x11652,x11655,x11656)) % 153.71/153.56 [1166]~E(x11661,x11662)+E(f403(x11663,x11664,x11665,x11661,x11666),f403(x11663,x11664,x11665,x11662,x11666)) % 153.71/153.56 [1167]~E(x11671,x11672)+E(f403(x11673,x11674,x11675,x11676,x11671),f403(x11673,x11674,x11675,x11676,x11672)) % 153.71/153.56 [1168]~E(x11681,x11682)+E(f568(x11681,x11683,x11684,x11685),f568(x11682,x11683,x11684,x11685)) % 153.71/153.56 [1169]~E(x11691,x11692)+E(f568(x11693,x11691,x11694,x11695),f568(x11693,x11692,x11694,x11695)) % 153.71/153.56 [1170]~E(x11701,x11702)+E(f568(x11703,x11704,x11701,x11705),f568(x11703,x11704,x11702,x11705)) % 153.71/153.56 [1171]~E(x11711,x11712)+E(f568(x11713,x11714,x11715,x11711),f568(x11713,x11714,x11715,x11712)) % 153.71/153.56 [1172]~E(x11721,x11722)+E(f172(x11721),f172(x11722)) % 153.71/153.56 [1173]~E(x11731,x11732)+E(f836(x11731),f836(x11732)) % 153.71/153.56 [1174]~E(x11741,x11742)+E(f442(x11741,x11743,x11744,x11745),f442(x11742,x11743,x11744,x11745)) % 153.71/153.56 [1175]~E(x11751,x11752)+E(f442(x11753,x11751,x11754,x11755),f442(x11753,x11752,x11754,x11755)) % 153.71/153.56 [1176]~E(x11761,x11762)+E(f442(x11763,x11764,x11761,x11765),f442(x11763,x11764,x11762,x11765)) % 153.71/153.56 [1177]~E(x11771,x11772)+E(f442(x11773,x11774,x11775,x11771),f442(x11773,x11774,x11775,x11772)) % 153.71/153.56 [1178]~E(x11781,x11782)+E(f599(x11781),f599(x11782)) % 153.71/153.56 [1179]~E(x11791,x11792)+E(f537(x11791,x11793,x11794,x11795,x11796),f537(x11792,x11793,x11794,x11795,x11796)) % 153.71/153.56 [1180]~E(x11801,x11802)+E(f537(x11803,x11801,x11804,x11805,x11806),f537(x11803,x11802,x11804,x11805,x11806)) % 153.71/153.56 [1181]~E(x11811,x11812)+E(f537(x11813,x11814,x11811,x11815,x11816),f537(x11813,x11814,x11812,x11815,x11816)) % 153.71/153.56 [1182]~E(x11821,x11822)+E(f537(x11823,x11824,x11825,x11821,x11826),f537(x11823,x11824,x11825,x11822,x11826)) % 153.71/153.56 [1183]~E(x11831,x11832)+E(f537(x11833,x11834,x11835,x11836,x11831),f537(x11833,x11834,x11835,x11836,x11832)) % 153.71/153.56 [1184]~E(x11841,x11842)+E(f390(x11841,x11843,x11844),f390(x11842,x11843,x11844)) % 153.71/153.56 [1185]~E(x11851,x11852)+E(f390(x11853,x11851,x11854),f390(x11853,x11852,x11854)) % 153.71/153.56 [1186]~E(x11861,x11862)+E(f390(x11863,x11864,x11861),f390(x11863,x11864,x11862)) % 153.71/153.56 [1187]~E(x11871,x11872)+E(f790(x11871,x11873,x11874),f790(x11872,x11873,x11874)) % 153.71/153.56 [1188]~E(x11881,x11882)+E(f790(x11883,x11881,x11884),f790(x11883,x11882,x11884)) % 153.71/153.56 [1189]~E(x11891,x11892)+E(f790(x11893,x11894,x11891),f790(x11893,x11894,x11892)) % 153.71/153.56 [1190]~E(x11901,x11902)+E(f733(x11901,x11903,x11904),f733(x11902,x11903,x11904)) % 153.71/153.56 [1191]~E(x11911,x11912)+E(f733(x11913,x11911,x11914),f733(x11913,x11912,x11914)) % 153.71/153.56 [1192]~E(x11921,x11922)+E(f733(x11923,x11924,x11921),f733(x11923,x11924,x11922)) % 153.71/153.56 [1193]~E(x11931,x11932)+E(f801(x11931,x11933,x11934),f801(x11932,x11933,x11934)) % 153.71/153.56 [1194]~E(x11941,x11942)+E(f801(x11943,x11941,x11944),f801(x11943,x11942,x11944)) % 153.71/153.56 [1195]~E(x11951,x11952)+E(f801(x11953,x11954,x11951),f801(x11953,x11954,x11952)) % 153.71/153.56 [1196]~E(x11961,x11962)+E(f226(x11961),f226(x11962)) % 153.71/153.56 [1197]~E(x11971,x11972)+E(f729(x11971,x11973,x11974),f729(x11972,x11973,x11974)) % 153.71/153.56 [1198]~E(x11981,x11982)+E(f729(x11983,x11981,x11984),f729(x11983,x11982,x11984)) % 153.71/153.56 [1199]~E(x11991,x11992)+E(f729(x11993,x11994,x11991),f729(x11993,x11994,x11992)) % 153.71/153.56 [1200]~E(x12001,x12002)+E(f667(x12001,x12003),f667(x12002,x12003)) % 153.71/153.56 [1201]~E(x12011,x12012)+E(f667(x12013,x12011),f667(x12013,x12012)) % 153.71/153.56 [1202]~E(x12021,x12022)+E(f649(x12021,x12023,x12024),f649(x12022,x12023,x12024)) % 153.71/153.56 [1203]~E(x12031,x12032)+E(f649(x12033,x12031,x12034),f649(x12033,x12032,x12034)) % 153.71/153.56 [1204]~E(x12041,x12042)+E(f649(x12043,x12044,x12041),f649(x12043,x12044,x12042)) % 153.71/153.56 [1205]~E(x12051,x12052)+E(f730(x12051,x12053,x12054),f730(x12052,x12053,x12054)) % 153.71/153.56 [1206]~E(x12061,x12062)+E(f730(x12063,x12061,x12064),f730(x12063,x12062,x12064)) % 153.71/153.56 [1207]~E(x12071,x12072)+E(f730(x12073,x12074,x12071),f730(x12073,x12074,x12072)) % 153.71/153.56 [1208]~E(x12081,x12082)+E(f400(x12081,x12083,x12084,x12085),f400(x12082,x12083,x12084,x12085)) % 153.71/153.56 [1209]~E(x12091,x12092)+E(f400(x12093,x12091,x12094,x12095),f400(x12093,x12092,x12094,x12095)) % 153.71/153.56 [1210]~E(x12101,x12102)+E(f400(x12103,x12104,x12101,x12105),f400(x12103,x12104,x12102,x12105)) % 153.71/153.56 [1211]~E(x12111,x12112)+E(f400(x12113,x12114,x12115,x12111),f400(x12113,x12114,x12115,x12112)) % 153.71/153.56 [1212]~E(x12121,x12122)+E(f614(x12121,x12123,x12124,x12125,x12126,x12127),f614(x12122,x12123,x12124,x12125,x12126,x12127)) % 153.71/153.56 [1213]~E(x12131,x12132)+E(f614(x12133,x12131,x12134,x12135,x12136,x12137),f614(x12133,x12132,x12134,x12135,x12136,x12137)) % 153.71/153.56 [1214]~E(x12141,x12142)+E(f614(x12143,x12144,x12141,x12145,x12146,x12147),f614(x12143,x12144,x12142,x12145,x12146,x12147)) % 153.71/153.56 [1215]~E(x12151,x12152)+E(f614(x12153,x12154,x12155,x12151,x12156,x12157),f614(x12153,x12154,x12155,x12152,x12156,x12157)) % 153.71/153.56 [1216]~E(x12161,x12162)+E(f614(x12163,x12164,x12165,x12166,x12161,x12167),f614(x12163,x12164,x12165,x12166,x12162,x12167)) % 153.71/153.56 [1217]~E(x12171,x12172)+E(f614(x12173,x12174,x12175,x12176,x12177,x12171),f614(x12173,x12174,x12175,x12176,x12177,x12172)) % 153.71/153.56 [1218]~E(x12181,x12182)+E(f444(x12181,x12183),f444(x12182,x12183)) % 153.71/153.56 [1219]~E(x12191,x12192)+E(f444(x12193,x12191),f444(x12193,x12192)) % 153.71/153.56 [1220]~E(x12201,x12202)+E(f587(x12201,x12203,x12204,x12205),f587(x12202,x12203,x12204,x12205)) % 153.71/153.56 [1221]~E(x12211,x12212)+E(f587(x12213,x12211,x12214,x12215),f587(x12213,x12212,x12214,x12215)) % 153.71/153.56 [1222]~E(x12221,x12222)+E(f587(x12223,x12224,x12221,x12225),f587(x12223,x12224,x12222,x12225)) % 153.71/153.56 [1223]~E(x12231,x12232)+E(f587(x12233,x12234,x12235,x12231),f587(x12233,x12234,x12235,x12232)) % 153.71/153.56 [1224]~E(x12241,x12242)+E(f748(x12241,x12243),f748(x12242,x12243)) % 153.71/153.56 [1225]~E(x12251,x12252)+E(f748(x12253,x12251),f748(x12253,x12252)) % 153.71/153.56 [1226]~E(x12261,x12262)+E(f609(x12261,x12263,x12264),f609(x12262,x12263,x12264)) % 153.71/153.56 [1227]~E(x12271,x12272)+E(f609(x12273,x12271,x12274),f609(x12273,x12272,x12274)) % 153.71/153.56 [1228]~E(x12281,x12282)+E(f609(x12283,x12284,x12281),f609(x12283,x12284,x12282)) % 153.71/153.56 [1229]~E(x12291,x12292)+E(f212(x12291,x12293,x12294),f212(x12292,x12293,x12294)) % 153.71/153.56 [1230]~E(x12301,x12302)+E(f212(x12303,x12301,x12304),f212(x12303,x12302,x12304)) % 153.71/153.56 [1231]~E(x12311,x12312)+E(f212(x12313,x12314,x12311),f212(x12313,x12314,x12312)) % 153.71/153.56 [1232]~E(x12321,x12322)+E(f574(x12321,x12323,x12324,x12325),f574(x12322,x12323,x12324,x12325)) % 153.71/153.56 [1233]~E(x12331,x12332)+E(f574(x12333,x12331,x12334,x12335),f574(x12333,x12332,x12334,x12335)) % 153.71/153.56 [1234]~E(x12341,x12342)+E(f574(x12343,x12344,x12341,x12345),f574(x12343,x12344,x12342,x12345)) % 153.71/153.56 [1235]~E(x12351,x12352)+E(f574(x12353,x12354,x12355,x12351),f574(x12353,x12354,x12355,x12352)) % 153.71/153.56 [1236]~E(x12361,x12362)+E(f458(x12361,x12363,x12364),f458(x12362,x12363,x12364)) % 153.71/153.56 [1237]~E(x12371,x12372)+E(f458(x12373,x12371,x12374),f458(x12373,x12372,x12374)) % 153.71/153.56 [1238]~E(x12381,x12382)+E(f458(x12383,x12384,x12381),f458(x12383,x12384,x12382)) % 153.71/153.56 [1239]~E(x12391,x12392)+E(f422(x12391,x12393,x12394,x12395),f422(x12392,x12393,x12394,x12395)) % 153.71/153.56 [1240]~E(x12401,x12402)+E(f422(x12403,x12401,x12404,x12405),f422(x12403,x12402,x12404,x12405)) % 153.71/153.56 [1241]~E(x12411,x12412)+E(f422(x12413,x12414,x12411,x12415),f422(x12413,x12414,x12412,x12415)) % 153.71/153.56 [1242]~E(x12421,x12422)+E(f422(x12423,x12424,x12425,x12421),f422(x12423,x12424,x12425,x12422)) % 153.71/153.56 [1243]~E(x12431,x12432)+E(f178(x12431,x12433,x12434,x12435),f178(x12432,x12433,x12434,x12435)) % 153.71/153.56 [1244]~E(x12441,x12442)+E(f178(x12443,x12441,x12444,x12445),f178(x12443,x12442,x12444,x12445)) % 153.71/153.56 [1245]~E(x12451,x12452)+E(f178(x12453,x12454,x12451,x12455),f178(x12453,x12454,x12452,x12455)) % 153.71/153.56 [1246]~E(x12461,x12462)+E(f178(x12463,x12464,x12465,x12461),f178(x12463,x12464,x12465,x12462)) % 153.71/153.56 [1247]~E(x12471,x12472)+E(f583(x12471),f583(x12472)) % 153.71/153.56 [1248]~E(x12481,x12482)+E(f570(x12481,x12483,x12484,x12485),f570(x12482,x12483,x12484,x12485)) % 153.71/153.56 [1249]~E(x12491,x12492)+E(f570(x12493,x12491,x12494,x12495),f570(x12493,x12492,x12494,x12495)) % 153.71/153.56 [1250]~E(x12501,x12502)+E(f570(x12503,x12504,x12501,x12505),f570(x12503,x12504,x12502,x12505)) % 153.71/153.56 [1251]~E(x12511,x12512)+E(f570(x12513,x12514,x12515,x12511),f570(x12513,x12514,x12515,x12512)) % 153.71/153.56 [1252]~E(x12521,x12522)+E(f604(x12521,x12523,x12524),f604(x12522,x12523,x12524)) % 153.71/153.56 [1253]~E(x12531,x12532)+E(f604(x12533,x12531,x12534),f604(x12533,x12532,x12534)) % 153.71/153.56 [1254]~E(x12541,x12542)+E(f604(x12543,x12544,x12541),f604(x12543,x12544,x12542)) % 153.71/153.56 [1255]~E(x12551,x12552)+E(f471(x12551,x12553,x12554,x12555),f471(x12552,x12553,x12554,x12555)) % 153.71/153.56 [1256]~E(x12561,x12562)+E(f471(x12563,x12561,x12564,x12565),f471(x12563,x12562,x12564,x12565)) % 153.71/153.56 [1257]~E(x12571,x12572)+E(f471(x12573,x12574,x12571,x12575),f471(x12573,x12574,x12572,x12575)) % 153.71/153.56 [1258]~E(x12581,x12582)+E(f471(x12583,x12584,x12585,x12581),f471(x12583,x12584,x12585,x12582)) % 153.71/153.56 [1259]~E(x12591,x12592)+E(f564(x12591,x12593,x12594,x12595,x12596,x12597),f564(x12592,x12593,x12594,x12595,x12596,x12597)) % 153.71/153.56 [1260]~E(x12601,x12602)+E(f564(x12603,x12601,x12604,x12605,x12606,x12607),f564(x12603,x12602,x12604,x12605,x12606,x12607)) % 153.71/153.56 [1261]~E(x12611,x12612)+E(f564(x12613,x12614,x12611,x12615,x12616,x12617),f564(x12613,x12614,x12612,x12615,x12616,x12617)) % 153.71/153.56 [1262]~E(x12621,x12622)+E(f564(x12623,x12624,x12625,x12621,x12626,x12627),f564(x12623,x12624,x12625,x12622,x12626,x12627)) % 153.71/153.56 [1263]~E(x12631,x12632)+E(f564(x12633,x12634,x12635,x12636,x12631,x12637),f564(x12633,x12634,x12635,x12636,x12632,x12637)) % 153.71/153.56 [1264]~E(x12641,x12642)+E(f564(x12643,x12644,x12645,x12646,x12647,x12641),f564(x12643,x12644,x12645,x12646,x12647,x12642)) % 153.71/153.56 [1265]~E(x12651,x12652)+E(f766(x12651,x12653,x12654),f766(x12652,x12653,x12654)) % 153.71/153.56 [1266]~E(x12661,x12662)+E(f766(x12663,x12661,x12664),f766(x12663,x12662,x12664)) % 153.71/153.56 [1267]~E(x12671,x12672)+E(f766(x12673,x12674,x12671),f766(x12673,x12674,x12672)) % 153.71/153.56 [1268]~E(x12681,x12682)+E(f145(x12681,x12683),f145(x12682,x12683)) % 153.71/153.56 [1269]~E(x12691,x12692)+E(f145(x12693,x12691),f145(x12693,x12692)) % 153.71/153.56 [1270]~E(x12701,x12702)+E(f459(x12701,x12703,x12704,x12705,x12706),f459(x12702,x12703,x12704,x12705,x12706)) % 153.71/153.56 [1271]~E(x12711,x12712)+E(f459(x12713,x12711,x12714,x12715,x12716),f459(x12713,x12712,x12714,x12715,x12716)) % 153.71/153.56 [1272]~E(x12721,x12722)+E(f459(x12723,x12724,x12721,x12725,x12726),f459(x12723,x12724,x12722,x12725,x12726)) % 153.71/153.56 [1273]~E(x12731,x12732)+E(f459(x12733,x12734,x12735,x12731,x12736),f459(x12733,x12734,x12735,x12732,x12736)) % 153.71/153.56 [1274]~E(x12741,x12742)+E(f459(x12743,x12744,x12745,x12746,x12741),f459(x12743,x12744,x12745,x12746,x12742)) % 153.71/153.56 [1275]~E(x12751,x12752)+E(f512(x12751,x12753,x12754),f512(x12752,x12753,x12754)) % 153.71/153.56 [1276]~E(x12761,x12762)+E(f512(x12763,x12761,x12764),f512(x12763,x12762,x12764)) % 153.71/153.56 [1277]~E(x12771,x12772)+E(f512(x12773,x12774,x12771),f512(x12773,x12774,x12772)) % 153.71/153.56 [1278]~E(x12781,x12782)+E(f483(x12781,x12783,x12784),f483(x12782,x12783,x12784)) % 153.71/153.56 [1279]~E(x12791,x12792)+E(f483(x12793,x12791,x12794),f483(x12793,x12792,x12794)) % 153.71/153.56 [1280]~E(x12801,x12802)+E(f483(x12803,x12804,x12801),f483(x12803,x12804,x12802)) % 153.71/153.56 [1281]~E(x12811,x12812)+E(f170(x12811,x12813,x12814),f170(x12812,x12813,x12814)) % 153.71/153.56 [1282]~E(x12821,x12822)+E(f170(x12823,x12821,x12824),f170(x12823,x12822,x12824)) % 153.71/153.56 [1283]~E(x12831,x12832)+E(f170(x12833,x12834,x12831),f170(x12833,x12834,x12832)) % 153.71/153.56 [1284]~E(x12841,x12842)+E(f755(x12841,x12843,x12844),f755(x12842,x12843,x12844)) % 153.71/153.56 [1285]~E(x12851,x12852)+E(f755(x12853,x12851,x12854),f755(x12853,x12852,x12854)) % 153.71/153.56 [1286]~E(x12861,x12862)+E(f755(x12863,x12864,x12861),f755(x12863,x12864,x12862)) % 153.71/153.56 [1287]~E(x12871,x12872)+E(f594(x12871,x12873,x12874,x12875,x12876,x12877),f594(x12872,x12873,x12874,x12875,x12876,x12877)) % 153.71/153.56 [1288]~E(x12881,x12882)+E(f594(x12883,x12881,x12884,x12885,x12886,x12887),f594(x12883,x12882,x12884,x12885,x12886,x12887)) % 153.71/153.56 [1289]~E(x12891,x12892)+E(f594(x12893,x12894,x12891,x12895,x12896,x12897),f594(x12893,x12894,x12892,x12895,x12896,x12897)) % 153.71/153.56 [1290]~E(x12901,x12902)+E(f594(x12903,x12904,x12905,x12901,x12906,x12907),f594(x12903,x12904,x12905,x12902,x12906,x12907)) % 153.71/153.56 [1291]~E(x12911,x12912)+E(f594(x12913,x12914,x12915,x12916,x12911,x12917),f594(x12913,x12914,x12915,x12916,x12912,x12917)) % 153.71/153.56 [1292]~E(x12921,x12922)+E(f594(x12923,x12924,x12925,x12926,x12927,x12921),f594(x12923,x12924,x12925,x12926,x12927,x12922)) % 153.71/153.56 [1293]~E(x12931,x12932)+E(f807(x12931,x12933,x12934),f807(x12932,x12933,x12934)) % 153.71/153.56 [1294]~E(x12941,x12942)+E(f807(x12943,x12941,x12944),f807(x12943,x12942,x12944)) % 153.71/153.56 [1295]~E(x12951,x12952)+E(f807(x12953,x12954,x12951),f807(x12953,x12954,x12952)) % 153.71/153.56 [1296]~E(x12961,x12962)+E(f697(x12961,x12963,x12964,x12965,x12966),f697(x12962,x12963,x12964,x12965,x12966)) % 153.71/153.56 [1297]~E(x12971,x12972)+E(f697(x12973,x12971,x12974,x12975,x12976),f697(x12973,x12972,x12974,x12975,x12976)) % 153.71/153.56 [1298]~E(x12981,x12982)+E(f697(x12983,x12984,x12981,x12985,x12986),f697(x12983,x12984,x12982,x12985,x12986)) % 153.71/153.56 [1299]~E(x12991,x12992)+E(f697(x12993,x12994,x12995,x12991,x12996),f697(x12993,x12994,x12995,x12992,x12996)) % 153.71/153.56 [1300]~E(x13001,x13002)+E(f697(x13003,x13004,x13005,x13006,x13001),f697(x13003,x13004,x13005,x13006,x13002)) % 153.71/153.56 [1301]~E(x13011,x13012)+E(f380(x13011,x13013,x13014),f380(x13012,x13013,x13014)) % 153.71/153.56 [1302]~E(x13021,x13022)+E(f380(x13023,x13021,x13024),f380(x13023,x13022,x13024)) % 153.71/153.56 [1303]~E(x13031,x13032)+E(f380(x13033,x13034,x13031),f380(x13033,x13034,x13032)) % 153.71/153.56 [1304]~E(x13041,x13042)+E(f756(x13041,x13043,x13044),f756(x13042,x13043,x13044)) % 153.71/153.56 [1305]~E(x13051,x13052)+E(f756(x13053,x13051,x13054),f756(x13053,x13052,x13054)) % 153.71/153.56 [1306]~E(x13061,x13062)+E(f756(x13063,x13064,x13061),f756(x13063,x13064,x13062)) % 153.71/153.56 [1307]~E(x13071,x13072)+E(f567(x13071,x13073),f567(x13072,x13073)) % 153.71/153.56 [1308]~E(x13081,x13082)+E(f567(x13083,x13081),f567(x13083,x13082)) % 153.71/153.56 [1309]~E(x13091,x13092)+E(f347(x13091,x13093),f347(x13092,x13093)) % 153.71/153.56 [1310]~E(x13101,x13102)+E(f347(x13103,x13101),f347(x13103,x13102)) % 153.71/153.56 [1311]~E(x13111,x13112)+E(f398(x13111,x13113,x13114),f398(x13112,x13113,x13114)) % 153.71/153.56 [1312]~E(x13121,x13122)+E(f398(x13123,x13121,x13124),f398(x13123,x13122,x13124)) % 153.71/153.56 [1313]~E(x13131,x13132)+E(f398(x13133,x13134,x13131),f398(x13133,x13134,x13132)) % 153.71/153.56 [1314]~E(x13141,x13142)+E(f358(x13141,x13143,x13144,x13145),f358(x13142,x13143,x13144,x13145)) % 153.71/153.56 [1315]~E(x13151,x13152)+E(f358(x13153,x13151,x13154,x13155),f358(x13153,x13152,x13154,x13155)) % 153.71/153.56 [1316]~E(x13161,x13162)+E(f358(x13163,x13164,x13161,x13165),f358(x13163,x13164,x13162,x13165)) % 153.71/153.56 [1317]~E(x13171,x13172)+E(f358(x13173,x13174,x13175,x13171),f358(x13173,x13174,x13175,x13172)) % 153.71/153.56 [1318]~E(x13181,x13182)+E(f61(x13181,x13183),f61(x13182,x13183)) % 153.71/153.56 [1319]~E(x13191,x13192)+E(f61(x13193,x13191),f61(x13193,x13192)) % 153.71/153.56 [1320]~E(x13201,x13202)+E(f250(x13201,x13203,x13204,x13205,x13206),f250(x13202,x13203,x13204,x13205,x13206)) % 153.71/153.56 [1321]~E(x13211,x13212)+E(f250(x13213,x13211,x13214,x13215,x13216),f250(x13213,x13212,x13214,x13215,x13216)) % 153.71/153.56 [1322]~E(x13221,x13222)+E(f250(x13223,x13224,x13221,x13225,x13226),f250(x13223,x13224,x13222,x13225,x13226)) % 153.71/153.56 [1323]~E(x13231,x13232)+E(f250(x13233,x13234,x13235,x13231,x13236),f250(x13233,x13234,x13235,x13232,x13236)) % 153.71/153.56 [1324]~E(x13241,x13242)+E(f250(x13243,x13244,x13245,x13246,x13241),f250(x13243,x13244,x13245,x13246,x13242)) % 153.71/153.56 [1325]~E(x13251,x13252)+E(f481(x13251,x13253,x13254,x13255,x13256,x13257),f481(x13252,x13253,x13254,x13255,x13256,x13257)) % 153.71/153.56 [1326]~E(x13261,x13262)+E(f481(x13263,x13261,x13264,x13265,x13266,x13267),f481(x13263,x13262,x13264,x13265,x13266,x13267)) % 153.71/153.56 [1327]~E(x13271,x13272)+E(f481(x13273,x13274,x13271,x13275,x13276,x13277),f481(x13273,x13274,x13272,x13275,x13276,x13277)) % 153.71/153.56 [1328]~E(x13281,x13282)+E(f481(x13283,x13284,x13285,x13281,x13286,x13287),f481(x13283,x13284,x13285,x13282,x13286,x13287)) % 153.71/153.56 [1329]~E(x13291,x13292)+E(f481(x13293,x13294,x13295,x13296,x13291,x13297),f481(x13293,x13294,x13295,x13296,x13292,x13297)) % 153.71/153.56 [1330]~E(x13301,x13302)+E(f481(x13303,x13304,x13305,x13306,x13307,x13301),f481(x13303,x13304,x13305,x13306,x13307,x13302)) % 153.71/153.56 [1331]~E(x13311,x13312)+E(f262(x13311,x13313),f262(x13312,x13313)) % 153.71/153.56 [1332]~E(x13321,x13322)+E(f262(x13323,x13321),f262(x13323,x13322)) % 153.71/153.56 [1333]~E(x13331,x13332)+E(f524(x13331,x13333,x13334,x13335,x13336),f524(x13332,x13333,x13334,x13335,x13336)) % 153.71/153.56 [1334]~E(x13341,x13342)+E(f524(x13343,x13341,x13344,x13345,x13346),f524(x13343,x13342,x13344,x13345,x13346)) % 153.71/153.56 [1335]~E(x13351,x13352)+E(f524(x13353,x13354,x13351,x13355,x13356),f524(x13353,x13354,x13352,x13355,x13356)) % 153.71/153.56 [1336]~E(x13361,x13362)+E(f524(x13363,x13364,x13365,x13361,x13366),f524(x13363,x13364,x13365,x13362,x13366)) % 153.71/153.56 [1337]~E(x13371,x13372)+E(f524(x13373,x13374,x13375,x13376,x13371),f524(x13373,x13374,x13375,x13376,x13372)) % 153.71/153.56 [1338]~E(x13381,x13382)+E(f80(x13381,x13383,x13384,x13385,x13386),f80(x13382,x13383,x13384,x13385,x13386)) % 153.71/153.56 [1339]~E(x13391,x13392)+E(f80(x13393,x13391,x13394,x13395,x13396),f80(x13393,x13392,x13394,x13395,x13396)) % 153.71/153.56 [1340]~E(x13401,x13402)+E(f80(x13403,x13404,x13401,x13405,x13406),f80(x13403,x13404,x13402,x13405,x13406)) % 153.71/153.56 [1341]~E(x13411,x13412)+E(f80(x13413,x13414,x13415,x13411,x13416),f80(x13413,x13414,x13415,x13412,x13416)) % 153.71/153.56 [1342]~E(x13421,x13422)+E(f80(x13423,x13424,x13425,x13426,x13421),f80(x13423,x13424,x13425,x13426,x13422)) % 153.71/153.56 [1343]~E(x13431,x13432)+E(f372(x13431,x13433,x13434,x13435,x13436),f372(x13432,x13433,x13434,x13435,x13436)) % 153.71/153.56 [1344]~E(x13441,x13442)+E(f372(x13443,x13441,x13444,x13445,x13446),f372(x13443,x13442,x13444,x13445,x13446)) % 153.71/153.56 [1345]~E(x13451,x13452)+E(f372(x13453,x13454,x13451,x13455,x13456),f372(x13453,x13454,x13452,x13455,x13456)) % 153.71/153.56 [1346]~E(x13461,x13462)+E(f372(x13463,x13464,x13465,x13461,x13466),f372(x13463,x13464,x13465,x13462,x13466)) % 153.71/153.56 [1347]~E(x13471,x13472)+E(f372(x13473,x13474,x13475,x13476,x13471),f372(x13473,x13474,x13475,x13476,x13472)) % 153.71/153.56 [1348]~E(x13481,x13482)+E(f238(x13481,x13483,x13484),f238(x13482,x13483,x13484)) % 153.71/153.56 [1349]~E(x13491,x13492)+E(f238(x13493,x13491,x13494),f238(x13493,x13492,x13494)) % 153.71/153.56 [1350]~E(x13501,x13502)+E(f238(x13503,x13504,x13501),f238(x13503,x13504,x13502)) % 153.71/153.56 [1351]~E(x13511,x13512)+E(f758(x13511,x13513),f758(x13512,x13513)) % 153.71/153.56 [1352]~E(x13521,x13522)+E(f758(x13523,x13521),f758(x13523,x13522)) % 153.71/153.56 [1353]~E(x13531,x13532)+E(f751(x13531,x13533,x13534),f751(x13532,x13533,x13534)) % 153.71/153.56 [1354]~E(x13541,x13542)+E(f751(x13543,x13541,x13544),f751(x13543,x13542,x13544)) % 153.71/153.56 [1355]~E(x13551,x13552)+E(f751(x13553,x13554,x13551),f751(x13553,x13554,x13552)) % 153.71/153.56 [1356]~E(x13561,x13562)+E(f691(x13561,x13563,x13564,x13565,x13566,x13567),f691(x13562,x13563,x13564,x13565,x13566,x13567)) % 153.71/153.56 [1357]~E(x13571,x13572)+E(f691(x13573,x13571,x13574,x13575,x13576,x13577),f691(x13573,x13572,x13574,x13575,x13576,x13577)) % 153.71/153.56 [1358]~E(x13581,x13582)+E(f691(x13583,x13584,x13581,x13585,x13586,x13587),f691(x13583,x13584,x13582,x13585,x13586,x13587)) % 153.71/153.56 [1359]~E(x13591,x13592)+E(f691(x13593,x13594,x13595,x13591,x13596,x13597),f691(x13593,x13594,x13595,x13592,x13596,x13597)) % 153.71/153.56 [1360]~E(x13601,x13602)+E(f691(x13603,x13604,x13605,x13606,x13601,x13607),f691(x13603,x13604,x13605,x13606,x13602,x13607)) % 153.71/153.56 [1361]~E(x13611,x13612)+E(f691(x13613,x13614,x13615,x13616,x13617,x13611),f691(x13613,x13614,x13615,x13616,x13617,x13612)) % 153.71/153.56 [1362]~E(x13621,x13622)+E(f645(x13621,x13623,x13624),f645(x13622,x13623,x13624)) % 153.71/153.56 [1363]~E(x13631,x13632)+E(f645(x13633,x13631,x13634),f645(x13633,x13632,x13634)) % 153.71/153.56 [1364]~E(x13641,x13642)+E(f645(x13643,x13644,x13641),f645(x13643,x13644,x13642)) % 153.71/153.56 [1365]~E(x13651,x13652)+E(f822(x13651,x13653,x13654),f822(x13652,x13653,x13654)) % 153.71/153.56 [1366]~E(x13661,x13662)+E(f822(x13663,x13661,x13664),f822(x13663,x13662,x13664)) % 153.71/153.56 [1367]~E(x13671,x13672)+E(f822(x13673,x13674,x13671),f822(x13673,x13674,x13672)) % 153.71/153.56 [1368]~E(x13681,x13682)+E(f438(x13681,x13683),f438(x13682,x13683)) % 153.71/153.56 [1369]~E(x13691,x13692)+E(f438(x13693,x13691),f438(x13693,x13692)) % 153.71/153.56 [1370]~E(x13701,x13702)+E(f500(x13701,x13703),f500(x13702,x13703)) % 153.71/153.56 [1371]~E(x13711,x13712)+E(f500(x13713,x13711),f500(x13713,x13712)) % 153.71/153.56 [1372]~E(x13721,x13722)+E(f635(x13721,x13723,x13724),f635(x13722,x13723,x13724)) % 153.71/153.56 [1373]~E(x13731,x13732)+E(f635(x13733,x13731,x13734),f635(x13733,x13732,x13734)) % 153.71/153.56 [1374]~E(x13741,x13742)+E(f635(x13743,x13744,x13741),f635(x13743,x13744,x13742)) % 153.71/153.56 [1375]~E(x13751,x13752)+E(f239(x13751,x13753,x13754),f239(x13752,x13753,x13754)) % 153.71/153.56 [1376]~E(x13761,x13762)+E(f239(x13763,x13761,x13764),f239(x13763,x13762,x13764)) % 153.71/153.56 [1377]~E(x13771,x13772)+E(f239(x13773,x13774,x13771),f239(x13773,x13774,x13772)) % 153.71/153.56 [1378]~E(x13781,x13782)+E(f395(x13781,x13783),f395(x13782,x13783)) % 153.71/153.56 [1379]~E(x13791,x13792)+E(f395(x13793,x13791),f395(x13793,x13792)) % 153.71/153.56 [1380]~E(x13801,x13802)+E(f665(x13801,x13803,x13804,x13805,x13806),f665(x13802,x13803,x13804,x13805,x13806)) % 153.71/153.56 [1381]~E(x13811,x13812)+E(f665(x13813,x13811,x13814,x13815,x13816),f665(x13813,x13812,x13814,x13815,x13816)) % 153.71/153.56 [1382]~E(x13821,x13822)+E(f665(x13823,x13824,x13821,x13825,x13826),f665(x13823,x13824,x13822,x13825,x13826)) % 153.71/153.56 [1383]~E(x13831,x13832)+E(f665(x13833,x13834,x13835,x13831,x13836),f665(x13833,x13834,x13835,x13832,x13836)) % 153.71/153.56 [1384]~E(x13841,x13842)+E(f665(x13843,x13844,x13845,x13846,x13841),f665(x13843,x13844,x13845,x13846,x13842)) % 153.71/153.56 [1385]~E(x13851,x13852)+E(f321(x13851,x13853,x13854,x13855),f321(x13852,x13853,x13854,x13855)) % 153.71/153.56 [1386]~E(x13861,x13862)+E(f321(x13863,x13861,x13864,x13865),f321(x13863,x13862,x13864,x13865)) % 153.71/153.56 [1387]~E(x13871,x13872)+E(f321(x13873,x13874,x13871,x13875),f321(x13873,x13874,x13872,x13875)) % 153.71/153.56 [1388]~E(x13881,x13882)+E(f321(x13883,x13884,x13885,x13881),f321(x13883,x13884,x13885,x13882)) % 153.71/153.56 [1389]~E(x13891,x13892)+E(f263(x13891,x13893,x13894,x13895),f263(x13892,x13893,x13894,x13895)) % 153.71/153.56 [1390]~E(x13901,x13902)+E(f263(x13903,x13901,x13904,x13905),f263(x13903,x13902,x13904,x13905)) % 153.71/153.56 [1391]~E(x13911,x13912)+E(f263(x13913,x13914,x13911,x13915),f263(x13913,x13914,x13912,x13915)) % 153.71/153.56 [1392]~E(x13921,x13922)+E(f263(x13923,x13924,x13925,x13921),f263(x13923,x13924,x13925,x13922)) % 153.71/153.56 [1393]~E(x13931,x13932)+E(f257(x13931,x13933,x13934),f257(x13932,x13933,x13934)) % 153.71/153.56 [1394]~E(x13941,x13942)+E(f257(x13943,x13941,x13944),f257(x13943,x13942,x13944)) % 153.71/153.56 [1395]~E(x13951,x13952)+E(f257(x13953,x13954,x13951),f257(x13953,x13954,x13952)) % 153.71/153.56 [1396]~E(x13961,x13962)+E(f639(x13961,x13963,x13964),f639(x13962,x13963,x13964)) % 153.71/153.56 [1397]~E(x13971,x13972)+E(f639(x13973,x13971,x13974),f639(x13973,x13972,x13974)) % 153.71/153.56 [1398]~E(x13981,x13982)+E(f639(x13983,x13984,x13981),f639(x13983,x13984,x13982)) % 153.71/153.56 [1399]~E(x13991,x13992)+E(f765(x13991,x13993),f765(x13992,x13993)) % 153.71/153.56 [1400]~E(x14001,x14002)+E(f765(x14003,x14001),f765(x14003,x14002)) % 153.71/153.56 [1401]~E(x14011,x14012)+E(f305(x14011),f305(x14012)) % 153.71/153.56 [1402]~E(x14021,x14022)+E(f683(x14021,x14023,x14024,x14025),f683(x14022,x14023,x14024,x14025)) % 153.71/153.56 [1403]~E(x14031,x14032)+E(f683(x14033,x14031,x14034,x14035),f683(x14033,x14032,x14034,x14035)) % 153.71/153.56 [1404]~E(x14041,x14042)+E(f683(x14043,x14044,x14041,x14045),f683(x14043,x14044,x14042,x14045)) % 153.71/153.56 [1405]~E(x14051,x14052)+E(f683(x14053,x14054,x14055,x14051),f683(x14053,x14054,x14055,x14052)) % 153.71/153.56 [1406]~E(x14061,x14062)+E(f460(x14061,x14063,x14064),f460(x14062,x14063,x14064)) % 153.71/153.56 [1407]~E(x14071,x14072)+E(f460(x14073,x14071,x14074),f460(x14073,x14072,x14074)) % 153.71/153.56 [1408]~E(x14081,x14082)+E(f460(x14083,x14084,x14081),f460(x14083,x14084,x14082)) % 153.71/153.56 [1409]~E(x14091,x14092)+E(f183(x14091,x14093),f183(x14092,x14093)) % 153.71/153.56 [1410]~E(x14101,x14102)+E(f183(x14103,x14101),f183(x14103,x14102)) % 153.71/153.56 [1411]~E(x14111,x14112)+E(f671(x14111,x14113,x14114,x14115),f671(x14112,x14113,x14114,x14115)) % 153.71/153.56 [1412]~E(x14121,x14122)+E(f671(x14123,x14121,x14124,x14125),f671(x14123,x14122,x14124,x14125)) % 153.71/153.56 [1413]~E(x14131,x14132)+E(f671(x14133,x14134,x14131,x14135),f671(x14133,x14134,x14132,x14135)) % 153.71/153.56 [1414]~E(x14141,x14142)+E(f671(x14143,x14144,x14145,x14141),f671(x14143,x14144,x14145,x14142)) % 153.71/153.56 [1415]~E(x14151,x14152)+E(f640(x14151,x14153,x14154),f640(x14152,x14153,x14154)) % 153.71/153.56 [1416]~E(x14161,x14162)+E(f640(x14163,x14161,x14164),f640(x14163,x14162,x14164)) % 153.71/153.56 [1417]~E(x14171,x14172)+E(f640(x14173,x14174,x14171),f640(x14173,x14174,x14172)) % 153.71/153.56 [1418]~E(x14181,x14182)+E(f161(x14181),f161(x14182)) % 153.71/153.56 [1419]~E(x14191,x14192)+E(f821(x14191,x14193),f821(x14192,x14193)) % 153.71/153.56 [1420]~E(x14201,x14202)+E(f821(x14203,x14201),f821(x14203,x14202)) % 153.71/153.56 [1421]~E(x14211,x14212)+E(f627(x14211,x14213,x14214,x14215,x14216),f627(x14212,x14213,x14214,x14215,x14216)) % 153.71/153.56 [1422]~E(x14221,x14222)+E(f627(x14223,x14221,x14224,x14225,x14226),f627(x14223,x14222,x14224,x14225,x14226)) % 153.71/153.56 [1423]~E(x14231,x14232)+E(f627(x14233,x14234,x14231,x14235,x14236),f627(x14233,x14234,x14232,x14235,x14236)) % 153.71/153.56 [1424]~E(x14241,x14242)+E(f627(x14243,x14244,x14245,x14241,x14246),f627(x14243,x14244,x14245,x14242,x14246)) % 153.71/153.56 [1425]~E(x14251,x14252)+E(f627(x14253,x14254,x14255,x14256,x14251),f627(x14253,x14254,x14255,x14256,x14252)) % 153.71/153.56 [1426]~E(x14261,x14262)+E(f223(x14261,x14263,x14264),f223(x14262,x14263,x14264)) % 153.71/153.56 [1427]~E(x14271,x14272)+E(f223(x14273,x14271,x14274),f223(x14273,x14272,x14274)) % 153.71/153.56 [1428]~E(x14281,x14282)+E(f223(x14283,x14284,x14281),f223(x14283,x14284,x14282)) % 153.71/153.56 [1429]~E(x14291,x14292)+E(f353(x14291,x14293,x14294,x14295),f353(x14292,x14293,x14294,x14295)) % 153.71/153.56 [1430]~E(x14301,x14302)+E(f353(x14303,x14301,x14304,x14305),f353(x14303,x14302,x14304,x14305)) % 153.71/153.56 [1431]~E(x14311,x14312)+E(f353(x14313,x14314,x14311,x14315),f353(x14313,x14314,x14312,x14315)) % 153.71/153.56 [1432]~E(x14321,x14322)+E(f353(x14323,x14324,x14325,x14321),f353(x14323,x14324,x14325,x14322)) % 153.71/153.56 [1433]~E(x14331,x14332)+E(f517(x14331,x14333,x14334,x14335,x14336),f517(x14332,x14333,x14334,x14335,x14336)) % 153.71/153.56 [1434]~E(x14341,x14342)+E(f517(x14343,x14341,x14344,x14345,x14346),f517(x14343,x14342,x14344,x14345,x14346)) % 153.71/153.56 [1435]~E(x14351,x14352)+E(f517(x14353,x14354,x14351,x14355,x14356),f517(x14353,x14354,x14352,x14355,x14356)) % 153.71/153.56 [1436]~E(x14361,x14362)+E(f517(x14363,x14364,x14365,x14361,x14366),f517(x14363,x14364,x14365,x14362,x14366)) % 153.71/153.56 [1437]~E(x14371,x14372)+E(f517(x14373,x14374,x14375,x14376,x14371),f517(x14373,x14374,x14375,x14376,x14372)) % 153.71/153.56 [1438]~E(x14381,x14382)+E(f437(x14381,x14383),f437(x14382,x14383)) % 153.71/153.56 [1439]~E(x14391,x14392)+E(f437(x14393,x14391),f437(x14393,x14392)) % 153.71/153.56 [1440]~E(x14401,x14402)+E(f745(x14401,x14403,x14404),f745(x14402,x14403,x14404)) % 153.71/153.56 [1441]~E(x14411,x14412)+E(f745(x14413,x14411,x14414),f745(x14413,x14412,x14414)) % 153.71/153.56 [1442]~E(x14421,x14422)+E(f745(x14423,x14424,x14421),f745(x14423,x14424,x14422)) % 153.71/153.56 [1443]~E(x14431,x14432)+E(f210(x14431,x14433,x14434,x14435),f210(x14432,x14433,x14434,x14435)) % 153.71/153.56 [1444]~E(x14441,x14442)+E(f210(x14443,x14441,x14444,x14445),f210(x14443,x14442,x14444,x14445)) % 153.71/153.56 [1445]~E(x14451,x14452)+E(f210(x14453,x14454,x14451,x14455),f210(x14453,x14454,x14452,x14455)) % 153.71/153.56 [1446]~E(x14461,x14462)+E(f210(x14463,x14464,x14465,x14461),f210(x14463,x14464,x14465,x14462)) % 153.71/153.56 [1447]~E(x14471,x14472)+E(f521(x14471,x14473,x14474,x14475,x14476),f521(x14472,x14473,x14474,x14475,x14476)) % 153.71/153.56 [1448]~E(x14481,x14482)+E(f521(x14483,x14481,x14484,x14485,x14486),f521(x14483,x14482,x14484,x14485,x14486)) % 153.71/153.56 [1449]~E(x14491,x14492)+E(f521(x14493,x14494,x14491,x14495,x14496),f521(x14493,x14494,x14492,x14495,x14496)) % 153.71/153.56 [1450]~E(x14501,x14502)+E(f521(x14503,x14504,x14505,x14501,x14506),f521(x14503,x14504,x14505,x14502,x14506)) % 153.71/153.56 [1451]~E(x14511,x14512)+E(f521(x14513,x14514,x14515,x14516,x14511),f521(x14513,x14514,x14515,x14516,x14512)) % 153.71/153.56 [1452]~E(x14521,x14522)+E(f618(x14521,x14523,x14524),f618(x14522,x14523,x14524)) % 153.71/153.56 [1453]~E(x14531,x14532)+E(f618(x14533,x14531,x14534),f618(x14533,x14532,x14534)) % 153.71/153.56 [1454]~E(x14541,x14542)+E(f618(x14543,x14544,x14541),f618(x14543,x14544,x14542)) % 153.71/153.56 [1455]~E(x14551,x14552)+E(f378(x14551,x14553,x14554,x14555),f378(x14552,x14553,x14554,x14555)) % 153.71/153.56 [1456]~E(x14561,x14562)+E(f378(x14563,x14561,x14564,x14565),f378(x14563,x14562,x14564,x14565)) % 153.71/153.56 [1457]~E(x14571,x14572)+E(f378(x14573,x14574,x14571,x14575),f378(x14573,x14574,x14572,x14575)) % 153.71/153.56 [1458]~E(x14581,x14582)+E(f378(x14583,x14584,x14585,x14581),f378(x14583,x14584,x14585,x14582)) % 153.71/153.56 [1459]~E(x14591,x14592)+E(f749(x14591,x14593,x14594),f749(x14592,x14593,x14594)) % 153.71/153.56 [1460]~E(x14601,x14602)+E(f749(x14603,x14601,x14604),f749(x14603,x14602,x14604)) % 153.71/153.56 [1461]~E(x14611,x14612)+E(f749(x14613,x14614,x14611),f749(x14613,x14614,x14612)) % 153.71/153.56 [1462]~E(x14621,x14622)+E(f401(x14621,x14623,x14624,x14625),f401(x14622,x14623,x14624,x14625)) % 153.71/153.56 [1463]~E(x14631,x14632)+E(f401(x14633,x14631,x14634,x14635),f401(x14633,x14632,x14634,x14635)) % 153.71/153.56 [1464]~E(x14641,x14642)+E(f401(x14643,x14644,x14641,x14645),f401(x14643,x14644,x14642,x14645)) % 153.71/153.56 [1465]~E(x14651,x14652)+E(f401(x14653,x14654,x14655,x14651),f401(x14653,x14654,x14655,x14652)) % 153.71/153.56 [1466]~E(x14661,x14662)+E(f410(x14661,x14663,x14664,x14665),f410(x14662,x14663,x14664,x14665)) % 153.71/153.56 [1467]~E(x14671,x14672)+E(f410(x14673,x14671,x14674,x14675),f410(x14673,x14672,x14674,x14675)) % 153.71/153.56 [1468]~E(x14681,x14682)+E(f410(x14683,x14684,x14681,x14685),f410(x14683,x14684,x14682,x14685)) % 153.71/153.56 [1469]~E(x14691,x14692)+E(f410(x14693,x14694,x14695,x14691),f410(x14693,x14694,x14695,x14692)) % 153.71/153.56 [1470]~E(x14701,x14702)+E(f794(x14701,x14703,x14704),f794(x14702,x14703,x14704)) % 153.71/153.56 [1471]~E(x14711,x14712)+E(f794(x14713,x14711,x14714),f794(x14713,x14712,x14714)) % 153.71/153.56 [1472]~E(x14721,x14722)+E(f794(x14723,x14724,x14721),f794(x14723,x14724,x14722)) % 153.71/153.56 [1473]~E(x14731,x14732)+E(f613(x14731,x14733,x14734,x14735,x14736,x14737),f613(x14732,x14733,x14734,x14735,x14736,x14737)) % 153.71/153.56 [1474]~E(x14741,x14742)+E(f613(x14743,x14741,x14744,x14745,x14746,x14747),f613(x14743,x14742,x14744,x14745,x14746,x14747)) % 153.71/153.56 [1475]~E(x14751,x14752)+E(f613(x14753,x14754,x14751,x14755,x14756,x14757),f613(x14753,x14754,x14752,x14755,x14756,x14757)) % 153.71/153.56 [1476]~E(x14761,x14762)+E(f613(x14763,x14764,x14765,x14761,x14766,x14767),f613(x14763,x14764,x14765,x14762,x14766,x14767)) % 153.71/153.56 [1477]~E(x14771,x14772)+E(f613(x14773,x14774,x14775,x14776,x14771,x14777),f613(x14773,x14774,x14775,x14776,x14772,x14777)) % 153.71/153.56 [1478]~E(x14781,x14782)+E(f613(x14783,x14784,x14785,x14786,x14787,x14781),f613(x14783,x14784,x14785,x14786,x14787,x14782)) % 153.71/153.56 [1479]~E(x14791,x14792)+E(f402(x14791,x14793,x14794,x14795,x14796),f402(x14792,x14793,x14794,x14795,x14796)) % 153.71/153.56 [1480]~E(x14801,x14802)+E(f402(x14803,x14801,x14804,x14805,x14806),f402(x14803,x14802,x14804,x14805,x14806)) % 153.71/153.56 [1481]~E(x14811,x14812)+E(f402(x14813,x14814,x14811,x14815,x14816),f402(x14813,x14814,x14812,x14815,x14816)) % 153.71/153.56 [1482]~E(x14821,x14822)+E(f402(x14823,x14824,x14825,x14821,x14826),f402(x14823,x14824,x14825,x14822,x14826)) % 153.71/153.56 [1483]~E(x14831,x14832)+E(f402(x14833,x14834,x14835,x14836,x14831),f402(x14833,x14834,x14835,x14836,x14832)) % 153.71/153.56 [1484]~E(x14841,x14842)+E(f703(x14841,x14843,x14844,x14845,x14846),f703(x14842,x14843,x14844,x14845,x14846)) % 153.71/153.56 [1485]~E(x14851,x14852)+E(f703(x14853,x14851,x14854,x14855,x14856),f703(x14853,x14852,x14854,x14855,x14856)) % 153.71/153.56 [1486]~E(x14861,x14862)+E(f703(x14863,x14864,x14861,x14865,x14866),f703(x14863,x14864,x14862,x14865,x14866)) % 153.71/153.56 [1487]~E(x14871,x14872)+E(f703(x14873,x14874,x14875,x14871,x14876),f703(x14873,x14874,x14875,x14872,x14876)) % 153.71/153.56 [1488]~E(x14881,x14882)+E(f703(x14883,x14884,x14885,x14886,x14881),f703(x14883,x14884,x14885,x14886,x14882)) % 153.71/153.56 [1489]~E(x14891,x14892)+E(f198(x14891,x14893,x14894,x14895,x14896,x14897,x14898),f198(x14892,x14893,x14894,x14895,x14896,x14897,x14898)) % 153.71/153.56 [1490]~E(x14901,x14902)+E(f198(x14903,x14901,x14904,x14905,x14906,x14907,x14908),f198(x14903,x14902,x14904,x14905,x14906,x14907,x14908)) % 153.71/153.56 [1491]~E(x14911,x14912)+E(f198(x14913,x14914,x14911,x14915,x14916,x14917,x14918),f198(x14913,x14914,x14912,x14915,x14916,x14917,x14918)) % 153.71/153.56 [1492]~E(x14921,x14922)+E(f198(x14923,x14924,x14925,x14921,x14926,x14927,x14928),f198(x14923,x14924,x14925,x14922,x14926,x14927,x14928)) % 153.71/153.56 [1493]~E(x14931,x14932)+E(f198(x14933,x14934,x14935,x14936,x14931,x14937,x14938),f198(x14933,x14934,x14935,x14936,x14932,x14937,x14938)) % 153.71/153.56 [1494]~E(x14941,x14942)+E(f198(x14943,x14944,x14945,x14946,x14947,x14941,x14948),f198(x14943,x14944,x14945,x14946,x14947,x14942,x14948)) % 153.71/153.56 [1495]~E(x14951,x14952)+E(f198(x14953,x14954,x14955,x14956,x14957,x14958,x14951),f198(x14953,x14954,x14955,x14956,x14957,x14958,x14952)) % 153.71/153.56 [1496]~E(x14961,x14962)+E(f356(x14961,x14963,x14964,x14965,x14966),f356(x14962,x14963,x14964,x14965,x14966)) % 153.71/153.56 [1497]~E(x14971,x14972)+E(f356(x14973,x14971,x14974,x14975,x14976),f356(x14973,x14972,x14974,x14975,x14976)) % 153.71/153.56 [1498]~E(x14981,x14982)+E(f356(x14983,x14984,x14981,x14985,x14986),f356(x14983,x14984,x14982,x14985,x14986)) % 153.71/153.56 [1499]~E(x14991,x14992)+E(f356(x14993,x14994,x14995,x14991,x14996),f356(x14993,x14994,x14995,x14992,x14996)) % 153.71/153.56 [1500]~E(x15001,x15002)+E(f356(x15003,x15004,x15005,x15006,x15001),f356(x15003,x15004,x15005,x15006,x15002)) % 153.71/153.56 [1501]~E(x15011,x15012)+E(f559(x15011,x15013),f559(x15012,x15013)) % 153.71/153.56 [1502]~E(x15021,x15022)+E(f559(x15023,x15021),f559(x15023,x15022)) % 153.71/153.56 [1503]~E(x15031,x15032)+E(f632(x15031,x15033,x15034),f632(x15032,x15033,x15034)) % 153.71/153.56 [1504]~E(x15041,x15042)+E(f632(x15043,x15041,x15044),f632(x15043,x15042,x15044)) % 153.71/153.56 [1505]~E(x15051,x15052)+E(f632(x15053,x15054,x15051),f632(x15053,x15054,x15052)) % 153.71/153.56 [1506]~E(x15061,x15062)+E(f386(x15061,x15063,x15064,x15065),f386(x15062,x15063,x15064,x15065)) % 153.71/153.56 [1507]~E(x15071,x15072)+E(f386(x15073,x15071,x15074,x15075),f386(x15073,x15072,x15074,x15075)) % 153.71/153.56 [1508]~E(x15081,x15082)+E(f386(x15083,x15084,x15081,x15085),f386(x15083,x15084,x15082,x15085)) % 153.71/153.56 [1509]~E(x15091,x15092)+E(f386(x15093,x15094,x15095,x15091),f386(x15093,x15094,x15095,x15092)) % 153.71/153.56 [1510]~E(x15101,x15102)+E(f420(x15101,x15103,x15104,x15105),f420(x15102,x15103,x15104,x15105)) % 153.71/153.56 [1511]~E(x15111,x15112)+E(f420(x15113,x15111,x15114,x15115),f420(x15113,x15112,x15114,x15115)) % 153.71/153.56 [1512]~E(x15121,x15122)+E(f420(x15123,x15124,x15121,x15125),f420(x15123,x15124,x15122,x15125)) % 153.71/153.56 [1513]~E(x15131,x15132)+E(f420(x15133,x15134,x15135,x15131),f420(x15133,x15134,x15135,x15132)) % 153.71/153.56 [1514]~E(x15141,x15142)+E(f680(x15141,x15143,x15144),f680(x15142,x15143,x15144)) % 153.71/153.56 [1515]~E(x15151,x15152)+E(f680(x15153,x15151,x15154),f680(x15153,x15152,x15154)) % 153.71/153.56 [1516]~E(x15161,x15162)+E(f680(x15163,x15164,x15161),f680(x15163,x15164,x15162)) % 153.71/153.56 [1517]~E(x15171,x15172)+E(f520(x15171,x15173,x15174,x15175),f520(x15172,x15173,x15174,x15175)) % 153.71/153.56 [1518]~E(x15181,x15182)+E(f520(x15183,x15181,x15184,x15185),f520(x15183,x15182,x15184,x15185)) % 153.71/153.56 [1519]~E(x15191,x15192)+E(f520(x15193,x15194,x15191,x15195),f520(x15193,x15194,x15192,x15195)) % 153.71/153.56 [1520]~E(x15201,x15202)+E(f520(x15203,x15204,x15205,x15201),f520(x15203,x15204,x15205,x15202)) % 153.71/153.56 [1521]~E(x15211,x15212)+E(f823(x15211,x15213,x15214),f823(x15212,x15213,x15214)) % 153.71/153.56 [1522]~E(x15221,x15222)+E(f823(x15223,x15221,x15224),f823(x15223,x15222,x15224)) % 153.71/153.56 [1523]~E(x15231,x15232)+E(f823(x15233,x15234,x15231),f823(x15233,x15234,x15232)) % 153.71/153.56 [1524]~E(x15241,x15242)+E(f344(x15241,x15243),f344(x15242,x15243)) % 153.71/153.56 [1525]~E(x15251,x15252)+E(f344(x15253,x15251),f344(x15253,x15252)) % 153.71/153.56 [1526]~E(x15261,x15262)+E(f204(x15261,x15263),f204(x15262,x15263)) % 153.71/153.56 [1527]~E(x15271,x15272)+E(f204(x15273,x15271),f204(x15273,x15272)) % 153.71/153.56 [1528]~E(x15281,x15282)+E(f677(x15281,x15283,x15284,x15285),f677(x15282,x15283,x15284,x15285)) % 153.71/153.56 [1529]~E(x15291,x15292)+E(f677(x15293,x15291,x15294,x15295),f677(x15293,x15292,x15294,x15295)) % 153.71/153.56 [1530]~E(x15301,x15302)+E(f677(x15303,x15304,x15301,x15305),f677(x15303,x15304,x15302,x15305)) % 153.71/153.56 [1531]~E(x15311,x15312)+E(f677(x15313,x15314,x15315,x15311),f677(x15313,x15314,x15315,x15312)) % 153.71/153.56 [1532]~E(x15321,x15322)+E(f348(x15321,x15323,x15324,x15325),f348(x15322,x15323,x15324,x15325)) % 153.71/153.56 [1533]~E(x15331,x15332)+E(f348(x15333,x15331,x15334,x15335),f348(x15333,x15332,x15334,x15335)) % 153.71/153.56 [1534]~E(x15341,x15342)+E(f348(x15343,x15344,x15341,x15345),f348(x15343,x15344,x15342,x15345)) % 153.71/153.56 [1535]~E(x15351,x15352)+E(f348(x15353,x15354,x15355,x15351),f348(x15353,x15354,x15355,x15352)) % 153.71/153.56 [1536]~E(x15361,x15362)+E(f397(x15361,x15363,x15364),f397(x15362,x15363,x15364)) % 153.71/153.56 [1537]~E(x15371,x15372)+E(f397(x15373,x15371,x15374),f397(x15373,x15372,x15374)) % 153.71/153.56 [1538]~E(x15381,x15382)+E(f397(x15383,x15384,x15381),f397(x15383,x15384,x15382)) % 153.71/153.56 [1539]~E(x15391,x15392)+E(f718(x15391,x15393,x15394,x15395,x15396),f718(x15392,x15393,x15394,x15395,x15396)) % 153.71/153.56 [1540]~E(x15401,x15402)+E(f718(x15403,x15401,x15404,x15405,x15406),f718(x15403,x15402,x15404,x15405,x15406)) % 153.71/153.56 [1541]~E(x15411,x15412)+E(f718(x15413,x15414,x15411,x15415,x15416),f718(x15413,x15414,x15412,x15415,x15416)) % 153.71/153.56 [1542]~E(x15421,x15422)+E(f718(x15423,x15424,x15425,x15421,x15426),f718(x15423,x15424,x15425,x15422,x15426)) % 153.71/153.56 [1543]~E(x15431,x15432)+E(f718(x15433,x15434,x15435,x15436,x15431),f718(x15433,x15434,x15435,x15436,x15432)) % 153.71/153.56 [1544]~E(x15441,x15442)+E(f743(x15441,x15443),f743(x15442,x15443)) % 153.71/153.56 [1545]~E(x15451,x15452)+E(f743(x15453,x15451),f743(x15453,x15452)) % 153.71/153.56 [1546]~E(x15461,x15462)+E(f132(x15461,x15463),f132(x15462,x15463)) % 153.71/153.56 [1547]~E(x15471,x15472)+E(f132(x15473,x15471),f132(x15473,x15472)) % 153.71/153.56 [1548]~E(x15481,x15482)+E(f157(x15481,x15483,x15484),f157(x15482,x15483,x15484)) % 153.71/153.56 [1549]~E(x15491,x15492)+E(f157(x15493,x15491,x15494),f157(x15493,x15492,x15494)) % 153.71/153.56 [1550]~E(x15501,x15502)+E(f157(x15503,x15504,x15501),f157(x15503,x15504,x15502)) % 153.71/153.56 [1551]~E(x15511,x15512)+E(f241(x15511,x15513,x15514),f241(x15512,x15513,x15514)) % 153.71/153.56 [1552]~E(x15521,x15522)+E(f241(x15523,x15521,x15524),f241(x15523,x15522,x15524)) % 153.71/153.56 [1553]~E(x15531,x15532)+E(f241(x15533,x15534,x15531),f241(x15533,x15534,x15532)) % 153.71/153.56 [1554]~E(x15541,x15542)+E(f728(x15541,x15543,x15544,x15545),f728(x15542,x15543,x15544,x15545)) % 153.71/153.56 [1555]~E(x15551,x15552)+E(f728(x15553,x15551,x15554,x15555),f728(x15553,x15552,x15554,x15555)) % 153.71/153.56 [1556]~E(x15561,x15562)+E(f728(x15563,x15564,x15561,x15565),f728(x15563,x15564,x15562,x15565)) % 153.71/153.56 [1557]~E(x15571,x15572)+E(f728(x15573,x15574,x15575,x15571),f728(x15573,x15574,x15575,x15572)) % 153.71/153.56 [1558]~E(x15581,x15582)+E(f116(x15581,x15583,x15584,x15585),f116(x15582,x15583,x15584,x15585)) % 153.71/153.56 [1559]~E(x15591,x15592)+E(f116(x15593,x15591,x15594,x15595),f116(x15593,x15592,x15594,x15595)) % 153.71/153.56 [1560]~E(x15601,x15602)+E(f116(x15603,x15604,x15601,x15605),f116(x15603,x15604,x15602,x15605)) % 153.71/153.56 [1561]~E(x15611,x15612)+E(f116(x15613,x15614,x15615,x15611),f116(x15613,x15614,x15615,x15612)) % 153.71/153.56 [1562]~E(x15621,x15622)+E(f655(x15621,x15623,x15624),f655(x15622,x15623,x15624)) % 153.71/153.56 [1563]~E(x15631,x15632)+E(f655(x15633,x15631,x15634),f655(x15633,x15632,x15634)) % 153.71/153.56 [1564]~E(x15641,x15642)+E(f655(x15643,x15644,x15641),f655(x15643,x15644,x15642)) % 153.71/153.56 [1565]~E(x15651,x15652)+E(f516(x15651,x15653,x15654,x15655,x15656,x15657,x15658,x15659),f516(x15652,x15653,x15654,x15655,x15656,x15657,x15658,x15659)) % 153.71/153.56 [1566]~E(x15661,x15662)+E(f516(x15663,x15661,x15664,x15665,x15666,x15667,x15668,x15669),f516(x15663,x15662,x15664,x15665,x15666,x15667,x15668,x15669)) % 153.71/153.56 [1567]~E(x15671,x15672)+E(f516(x15673,x15674,x15671,x15675,x15676,x15677,x15678,x15679),f516(x15673,x15674,x15672,x15675,x15676,x15677,x15678,x15679)) % 153.71/153.56 [1568]~E(x15681,x15682)+E(f516(x15683,x15684,x15685,x15681,x15686,x15687,x15688,x15689),f516(x15683,x15684,x15685,x15682,x15686,x15687,x15688,x15689)) % 153.71/153.56 [1569]~E(x15691,x15692)+E(f516(x15693,x15694,x15695,x15696,x15691,x15697,x15698,x15699),f516(x15693,x15694,x15695,x15696,x15692,x15697,x15698,x15699)) % 153.71/153.56 [1570]~E(x15701,x15702)+E(f516(x15703,x15704,x15705,x15706,x15707,x15701,x15708,x15709),f516(x15703,x15704,x15705,x15706,x15707,x15702,x15708,x15709)) % 153.71/153.56 [1571]~E(x15711,x15712)+E(f516(x15713,x15714,x15715,x15716,x15717,x15718,x15711,x15719),f516(x15713,x15714,x15715,x15716,x15717,x15718,x15712,x15719)) % 153.71/153.56 [1572]~E(x15721,x15722)+E(f516(x15723,x15724,x15725,x15726,x15727,x15728,x15729,x15721),f516(x15723,x15724,x15725,x15726,x15727,x15728,x15729,x15722)) % 153.71/153.56 [1573]~E(x15731,x15732)+E(f696(x15731,x15733,x15734),f696(x15732,x15733,x15734)) % 153.71/153.56 [1574]~E(x15741,x15742)+E(f696(x15743,x15741,x15744),f696(x15743,x15742,x15744)) % 153.71/153.56 [1575]~E(x15751,x15752)+E(f696(x15753,x15754,x15751),f696(x15753,x15754,x15752)) % 153.71/153.56 [1576]~E(x15761,x15762)+E(f754(x15761,x15763,x15764),f754(x15762,x15763,x15764)) % 153.71/153.56 [1577]~E(x15771,x15772)+E(f754(x15773,x15771,x15774),f754(x15773,x15772,x15774)) % 153.71/153.56 [1578]~E(x15781,x15782)+E(f754(x15783,x15784,x15781),f754(x15783,x15784,x15782)) % 153.71/153.56 [1579]~E(x15791,x15792)+E(f441(x15791,x15793,x15794,x15795,x15796,x15797,x15798),f441(x15792,x15793,x15794,x15795,x15796,x15797,x15798)) % 153.71/153.56 [1580]~E(x15801,x15802)+E(f441(x15803,x15801,x15804,x15805,x15806,x15807,x15808),f441(x15803,x15802,x15804,x15805,x15806,x15807,x15808)) % 153.71/153.56 [1581]~E(x15811,x15812)+E(f441(x15813,x15814,x15811,x15815,x15816,x15817,x15818),f441(x15813,x15814,x15812,x15815,x15816,x15817,x15818)) % 153.71/153.56 [1582]~E(x15821,x15822)+E(f441(x15823,x15824,x15825,x15821,x15826,x15827,x15828),f441(x15823,x15824,x15825,x15822,x15826,x15827,x15828)) % 153.71/153.56 [1583]~E(x15831,x15832)+E(f441(x15833,x15834,x15835,x15836,x15831,x15837,x15838),f441(x15833,x15834,x15835,x15836,x15832,x15837,x15838)) % 153.71/153.56 [1584]~E(x15841,x15842)+E(f441(x15843,x15844,x15845,x15846,x15847,x15841,x15848),f441(x15843,x15844,x15845,x15846,x15847,x15842,x15848)) % 153.71/153.56 [1585]~E(x15851,x15852)+E(f441(x15853,x15854,x15855,x15856,x15857,x15858,x15851),f441(x15853,x15854,x15855,x15856,x15857,x15858,x15852)) % 153.71/153.56 [1586]~E(x15861,x15862)+E(f119(x15861,x15863,x15864,x15865),f119(x15862,x15863,x15864,x15865)) % 153.71/153.56 [1587]~E(x15871,x15872)+E(f119(x15873,x15871,x15874,x15875),f119(x15873,x15872,x15874,x15875)) % 153.71/153.56 [1588]~E(x15881,x15882)+E(f119(x15883,x15884,x15881,x15885),f119(x15883,x15884,x15882,x15885)) % 153.71/153.56 [1589]~E(x15891,x15892)+E(f119(x15893,x15894,x15895,x15891),f119(x15893,x15894,x15895,x15892)) % 153.71/153.56 [1590]~E(x15901,x15902)+E(f365(x15901,x15903,x15904,x15905),f365(x15902,x15903,x15904,x15905)) % 153.71/153.56 [1591]~E(x15911,x15912)+E(f365(x15913,x15911,x15914,x15915),f365(x15913,x15912,x15914,x15915)) % 153.71/153.56 [1592]~E(x15921,x15922)+E(f365(x15923,x15924,x15921,x15925),f365(x15923,x15924,x15922,x15925)) % 153.71/153.56 [1593]~E(x15931,x15932)+E(f365(x15933,x15934,x15935,x15931),f365(x15933,x15934,x15935,x15932)) % 153.71/153.56 [1594]~E(x15941,x15942)+E(f752(x15941,x15943),f752(x15942,x15943)) % 153.71/153.56 [1595]~E(x15951,x15952)+E(f752(x15953,x15951),f752(x15953,x15952)) % 153.71/153.56 [1596]~E(x15961,x15962)+E(f339(x15961,x15963,x15964,x15965),f339(x15962,x15963,x15964,x15965)) % 153.71/153.56 [1597]~E(x15971,x15972)+E(f339(x15973,x15971,x15974,x15975),f339(x15973,x15972,x15974,x15975)) % 153.71/153.56 [1598]~E(x15981,x15982)+E(f339(x15983,x15984,x15981,x15985),f339(x15983,x15984,x15982,x15985)) % 153.71/153.56 [1599]~E(x15991,x15992)+E(f339(x15993,x15994,x15995,x15991),f339(x15993,x15994,x15995,x15992)) % 153.71/153.56 [1600]~E(x16001,x16002)+E(f313(x16001,x16003,x16004,x16005,x16006),f313(x16002,x16003,x16004,x16005,x16006)) % 153.71/153.56 [1601]~E(x16011,x16012)+E(f313(x16013,x16011,x16014,x16015,x16016),f313(x16013,x16012,x16014,x16015,x16016)) % 153.71/153.56 [1602]~E(x16021,x16022)+E(f313(x16023,x16024,x16021,x16025,x16026),f313(x16023,x16024,x16022,x16025,x16026)) % 153.71/153.56 [1603]~E(x16031,x16032)+E(f313(x16033,x16034,x16035,x16031,x16036),f313(x16033,x16034,x16035,x16032,x16036)) % 153.71/153.56 [1604]~E(x16041,x16042)+E(f313(x16043,x16044,x16045,x16046,x16041),f313(x16043,x16044,x16045,x16046,x16042)) % 153.71/153.56 [1605]~E(x16051,x16052)+E(f814(x16051,x16053,x16054),f814(x16052,x16053,x16054)) % 153.71/153.56 [1606]~E(x16061,x16062)+E(f814(x16063,x16061,x16064),f814(x16063,x16062,x16064)) % 153.71/153.56 [1607]~E(x16071,x16072)+E(f814(x16073,x16074,x16071),f814(x16073,x16074,x16072)) % 153.71/153.56 [1608]~E(x16081,x16082)+E(f530(x16081,x16083,x16084,x16085,x16086,x16087),f530(x16082,x16083,x16084,x16085,x16086,x16087)) % 153.71/153.56 [1609]~E(x16091,x16092)+E(f530(x16093,x16091,x16094,x16095,x16096,x16097),f530(x16093,x16092,x16094,x16095,x16096,x16097)) % 153.71/153.56 [1610]~E(x16101,x16102)+E(f530(x16103,x16104,x16101,x16105,x16106,x16107),f530(x16103,x16104,x16102,x16105,x16106,x16107)) % 153.71/153.56 [1611]~E(x16111,x16112)+E(f530(x16113,x16114,x16115,x16111,x16116,x16117),f530(x16113,x16114,x16115,x16112,x16116,x16117)) % 153.71/153.56 [1612]~E(x16121,x16122)+E(f530(x16123,x16124,x16125,x16126,x16121,x16127),f530(x16123,x16124,x16125,x16126,x16122,x16127)) % 153.71/153.56 [1613]~E(x16131,x16132)+E(f530(x16133,x16134,x16135,x16136,x16137,x16131),f530(x16133,x16134,x16135,x16136,x16137,x16132)) % 153.71/153.56 [1614]~E(x16141,x16142)+E(f652(x16141,x16143,x16144),f652(x16142,x16143,x16144)) % 153.71/153.56 [1615]~E(x16151,x16152)+E(f652(x16153,x16151,x16154),f652(x16153,x16152,x16154)) % 153.71/153.56 [1616]~E(x16161,x16162)+E(f652(x16163,x16164,x16161),f652(x16163,x16164,x16162)) % 153.71/153.56 [1617]~E(x16171,x16172)+E(f21(x16171,x16173,x16174,x16175),f21(x16172,x16173,x16174,x16175)) % 153.71/153.56 [1618]~E(x16181,x16182)+E(f21(x16183,x16181,x16184,x16185),f21(x16183,x16182,x16184,x16185)) % 153.71/153.56 [1619]~E(x16191,x16192)+E(f21(x16193,x16194,x16191,x16195),f21(x16193,x16194,x16192,x16195)) % 153.71/153.56 [1620]~E(x16201,x16202)+E(f21(x16203,x16204,x16205,x16201),f21(x16203,x16204,x16205,x16202)) % 153.71/153.56 [1621]~E(x16211,x16212)+E(f723(x16211,x16213,x16214,x16215),f723(x16212,x16213,x16214,x16215)) % 153.71/153.56 [1622]~E(x16221,x16222)+E(f723(x16223,x16221,x16224,x16225),f723(x16223,x16222,x16224,x16225)) % 153.71/153.56 [1623]~E(x16231,x16232)+E(f723(x16233,x16234,x16231,x16235),f723(x16233,x16234,x16232,x16235)) % 153.71/153.56 [1624]~E(x16241,x16242)+E(f723(x16243,x16244,x16245,x16241),f723(x16243,x16244,x16245,x16242)) % 153.71/153.56 [1625]~E(x16251,x16252)+E(f549(x16251,x16253),f549(x16252,x16253)) % 153.71/153.56 [1626]~E(x16261,x16262)+E(f549(x16263,x16261),f549(x16263,x16262)) % 153.71/153.56 [1627]~E(x16271,x16272)+E(f362(x16271,x16273,x16274,x16275,x16276),f362(x16272,x16273,x16274,x16275,x16276)) % 153.71/153.56 [1628]~E(x16281,x16282)+E(f362(x16283,x16281,x16284,x16285,x16286),f362(x16283,x16282,x16284,x16285,x16286)) % 153.71/153.56 [1629]~E(x16291,x16292)+E(f362(x16293,x16294,x16291,x16295,x16296),f362(x16293,x16294,x16292,x16295,x16296)) % 153.71/153.56 [1630]~E(x16301,x16302)+E(f362(x16303,x16304,x16305,x16301,x16306),f362(x16303,x16304,x16305,x16302,x16306)) % 153.71/153.56 [1631]~E(x16311,x16312)+E(f362(x16313,x16314,x16315,x16316,x16311),f362(x16313,x16314,x16315,x16316,x16312)) % 153.71/153.56 [1632]~E(x16321,x16322)+E(f610(x16321,x16323,x16324,x16325),f610(x16322,x16323,x16324,x16325)) % 153.71/153.56 [1633]~E(x16331,x16332)+E(f610(x16333,x16331,x16334,x16335),f610(x16333,x16332,x16334,x16335)) % 153.71/153.56 [1634]~E(x16341,x16342)+E(f610(x16343,x16344,x16341,x16345),f610(x16343,x16344,x16342,x16345)) % 153.71/153.56 [1635]~E(x16351,x16352)+E(f610(x16353,x16354,x16355,x16351),f610(x16353,x16354,x16355,x16352)) % 153.71/153.56 [1636]~E(x16361,x16362)+E(f416(x16361,x16363,x16364),f416(x16362,x16363,x16364)) % 153.71/153.56 [1637]~E(x16371,x16372)+E(f416(x16373,x16371,x16374),f416(x16373,x16372,x16374)) % 153.71/153.56 [1638]~E(x16381,x16382)+E(f416(x16383,x16384,x16381),f416(x16383,x16384,x16382)) % 153.71/153.56 [1639]~E(x16391,x16392)+E(f535(x16391,x16393,x16394),f535(x16392,x16393,x16394)) % 153.71/153.56 [1640]~E(x16401,x16402)+E(f535(x16403,x16401,x16404),f535(x16403,x16402,x16404)) % 153.71/153.56 [1641]~E(x16411,x16412)+E(f535(x16413,x16414,x16411),f535(x16413,x16414,x16412)) % 153.71/153.56 [1642]~E(x16421,x16422)+E(f589(x16421,x16423),f589(x16422,x16423)) % 153.71/153.56 [1643]~E(x16431,x16432)+E(f589(x16433,x16431),f589(x16433,x16432)) % 153.71/153.56 [1644]~E(x16441,x16442)+E(f360(x16441,x16443,x16444,x16445,x16446),f360(x16442,x16443,x16444,x16445,x16446)) % 153.71/153.56 [1645]~E(x16451,x16452)+E(f360(x16453,x16451,x16454,x16455,x16456),f360(x16453,x16452,x16454,x16455,x16456)) % 153.71/153.56 [1646]~E(x16461,x16462)+E(f360(x16463,x16464,x16461,x16465,x16466),f360(x16463,x16464,x16462,x16465,x16466)) % 153.71/153.56 [1647]~E(x16471,x16472)+E(f360(x16473,x16474,x16475,x16471,x16476),f360(x16473,x16474,x16475,x16472,x16476)) % 153.71/153.56 [1648]~E(x16481,x16482)+E(f360(x16483,x16484,x16485,x16486,x16481),f360(x16483,x16484,x16485,x16486,x16482)) % 153.71/153.56 [1649]~E(x16491,x16492)+E(f357(x16491,x16493,x16494,x16495,x16496),f357(x16492,x16493,x16494,x16495,x16496)) % 153.71/153.56 [1650]~E(x16501,x16502)+E(f357(x16503,x16501,x16504,x16505,x16506),f357(x16503,x16502,x16504,x16505,x16506)) % 153.71/153.56 [1651]~E(x16511,x16512)+E(f357(x16513,x16514,x16511,x16515,x16516),f357(x16513,x16514,x16512,x16515,x16516)) % 153.71/153.56 [1652]~E(x16521,x16522)+E(f357(x16523,x16524,x16525,x16521,x16526),f357(x16523,x16524,x16525,x16522,x16526)) % 153.71/153.56 [1653]~E(x16531,x16532)+E(f357(x16533,x16534,x16535,x16536,x16531),f357(x16533,x16534,x16535,x16536,x16532)) % 153.71/153.56 [1654]~E(x16541,x16542)+E(f839(x16541,x16543),f839(x16542,x16543)) % 153.71/153.56 [1655]~E(x16551,x16552)+E(f839(x16553,x16551),f839(x16553,x16552)) % 153.71/153.56 [1656]~E(x16561,x16562)+E(f366(x16561,x16563,x16564,x16565,x16566),f366(x16562,x16563,x16564,x16565,x16566)) % 153.71/153.56 [1657]~E(x16571,x16572)+E(f366(x16573,x16571,x16574,x16575,x16576),f366(x16573,x16572,x16574,x16575,x16576)) % 153.71/153.56 [1658]~E(x16581,x16582)+E(f366(x16583,x16584,x16581,x16585,x16586),f366(x16583,x16584,x16582,x16585,x16586)) % 153.71/153.56 [1659]~E(x16591,x16592)+E(f366(x16593,x16594,x16595,x16591,x16596),f366(x16593,x16594,x16595,x16592,x16596)) % 153.71/153.56 [1660]~E(x16601,x16602)+E(f366(x16603,x16604,x16605,x16606,x16601),f366(x16603,x16604,x16605,x16606,x16602)) % 153.71/153.56 [1661]~E(x16611,x16612)+E(f49(x16611),f49(x16612)) % 153.71/153.56 [1662]~E(x16621,x16622)+E(f650(x16621,x16623,x16624,x16625),f650(x16622,x16623,x16624,x16625)) % 153.71/153.56 [1663]~E(x16631,x16632)+E(f650(x16633,x16631,x16634,x16635),f650(x16633,x16632,x16634,x16635)) % 153.71/153.56 [1664]~E(x16641,x16642)+E(f650(x16643,x16644,x16641,x16645),f650(x16643,x16644,x16642,x16645)) % 153.71/153.56 [1665]~E(x16651,x16652)+E(f650(x16653,x16654,x16655,x16651),f650(x16653,x16654,x16655,x16652)) % 153.71/153.56 [1666]~E(x16661,x16662)+E(f623(x16661,x16663,x16664),f623(x16662,x16663,x16664)) % 153.71/153.56 [1667]~E(x16671,x16672)+E(f623(x16673,x16671,x16674),f623(x16673,x16672,x16674)) % 153.71/153.56 [1668]~E(x16681,x16682)+E(f623(x16683,x16684,x16681),f623(x16683,x16684,x16682)) % 153.71/153.56 [1669]~E(x16691,x16692)+E(f708(x16691,x16693),f708(x16692,x16693)) % 153.71/153.56 [1670]~E(x16701,x16702)+E(f708(x16703,x16701),f708(x16703,x16702)) % 153.71/153.56 [1671]~E(x16711,x16712)+E(f597(x16711),f597(x16712)) % 153.71/153.56 [1672]~E(x16721,x16722)+E(f739(x16721,x16723,x16724),f739(x16722,x16723,x16724)) % 153.71/153.56 [1673]~E(x16731,x16732)+E(f739(x16733,x16731,x16734),f739(x16733,x16732,x16734)) % 153.71/153.56 [1674]~E(x16741,x16742)+E(f739(x16743,x16744,x16741),f739(x16743,x16744,x16742)) % 153.71/153.56 [1675]~E(x16751,x16752)+E(f631(x16751,x16753,x16754,x16755,x16756,x16757,x16758,x16759),f631(x16752,x16753,x16754,x16755,x16756,x16757,x16758,x16759)) % 153.71/153.56 [1676]~E(x16761,x16762)+E(f631(x16763,x16761,x16764,x16765,x16766,x16767,x16768,x16769),f631(x16763,x16762,x16764,x16765,x16766,x16767,x16768,x16769)) % 153.71/153.56 [1677]~E(x16771,x16772)+E(f631(x16773,x16774,x16771,x16775,x16776,x16777,x16778,x16779),f631(x16773,x16774,x16772,x16775,x16776,x16777,x16778,x16779)) % 153.71/153.56 [1678]~E(x16781,x16782)+E(f631(x16783,x16784,x16785,x16781,x16786,x16787,x16788,x16789),f631(x16783,x16784,x16785,x16782,x16786,x16787,x16788,x16789)) % 153.71/153.56 [1679]~E(x16791,x16792)+E(f631(x16793,x16794,x16795,x16796,x16791,x16797,x16798,x16799),f631(x16793,x16794,x16795,x16796,x16792,x16797,x16798,x16799)) % 153.71/153.56 [1680]~E(x16801,x16802)+E(f631(x16803,x16804,x16805,x16806,x16807,x16801,x16808,x16809),f631(x16803,x16804,x16805,x16806,x16807,x16802,x16808,x16809)) % 153.71/153.56 [1681]~E(x16811,x16812)+E(f631(x16813,x16814,x16815,x16816,x16817,x16818,x16811,x16819),f631(x16813,x16814,x16815,x16816,x16817,x16818,x16812,x16819)) % 153.71/153.56 [1682]~E(x16821,x16822)+E(f631(x16823,x16824,x16825,x16826,x16827,x16828,x16829,x16821),f631(x16823,x16824,x16825,x16826,x16827,x16828,x16829,x16822)) % 153.71/153.56 [1683]~E(x16831,x16832)+E(f672(x16831,x16833,x16834,x16835),f672(x16832,x16833,x16834,x16835)) % 153.71/153.56 [1684]~E(x16841,x16842)+E(f672(x16843,x16841,x16844,x16845),f672(x16843,x16842,x16844,x16845)) % 153.71/153.56 [1685]~E(x16851,x16852)+E(f672(x16853,x16854,x16851,x16855),f672(x16853,x16854,x16852,x16855)) % 153.71/153.56 [1686]~E(x16861,x16862)+E(f672(x16863,x16864,x16865,x16861),f672(x16863,x16864,x16865,x16862)) % 153.71/153.56 [1687]~E(x16871,x16872)+E(f746(x16871,x16873,x16874),f746(x16872,x16873,x16874)) % 153.71/153.56 [1688]~E(x16881,x16882)+E(f746(x16883,x16881,x16884),f746(x16883,x16882,x16884)) % 153.71/153.56 [1689]~E(x16891,x16892)+E(f746(x16893,x16894,x16891),f746(x16893,x16894,x16892)) % 153.71/153.56 [1690]~E(x16901,x16902)+E(f592(x16901,x16903,x16904),f592(x16902,x16903,x16904)) % 153.71/153.56 [1691]~E(x16911,x16912)+E(f592(x16913,x16911,x16914),f592(x16913,x16912,x16914)) % 153.71/153.56 [1692]~E(x16921,x16922)+E(f592(x16923,x16924,x16921),f592(x16923,x16924,x16922)) % 153.71/153.56 [1693]~E(x16931,x16932)+E(f474(x16931,x16933,x16934,x16935,x16936),f474(x16932,x16933,x16934,x16935,x16936)) % 153.71/153.56 [1694]~E(x16941,x16942)+E(f474(x16943,x16941,x16944,x16945,x16946),f474(x16943,x16942,x16944,x16945,x16946)) % 153.71/153.56 [1695]~E(x16951,x16952)+E(f474(x16953,x16954,x16951,x16955,x16956),f474(x16953,x16954,x16952,x16955,x16956)) % 153.71/153.56 [1696]~E(x16961,x16962)+E(f474(x16963,x16964,x16965,x16961,x16966),f474(x16963,x16964,x16965,x16962,x16966)) % 153.71/153.56 [1697]~E(x16971,x16972)+E(f474(x16973,x16974,x16975,x16976,x16971),f474(x16973,x16974,x16975,x16976,x16972)) % 153.71/153.56 [1698]~E(x16981,x16982)+E(f285(x16981,x16983,x16984),f285(x16982,x16983,x16984)) % 153.71/153.56 [1699]~E(x16991,x16992)+E(f285(x16993,x16991,x16994),f285(x16993,x16992,x16994)) % 153.71/153.56 [1700]~E(x17001,x17002)+E(f285(x17003,x17004,x17001),f285(x17003,x17004,x17002)) % 153.71/153.56 [1701]~E(x17011,x17012)+E(f225(x17011,x17013,x17014,x17015,x17016),f225(x17012,x17013,x17014,x17015,x17016)) % 153.71/153.56 [1702]~E(x17021,x17022)+E(f225(x17023,x17021,x17024,x17025,x17026),f225(x17023,x17022,x17024,x17025,x17026)) % 153.71/153.56 [1703]~E(x17031,x17032)+E(f225(x17033,x17034,x17031,x17035,x17036),f225(x17033,x17034,x17032,x17035,x17036)) % 153.71/153.56 [1704]~E(x17041,x17042)+E(f225(x17043,x17044,x17045,x17041,x17046),f225(x17043,x17044,x17045,x17042,x17046)) % 153.71/153.56 [1705]~E(x17051,x17052)+E(f225(x17053,x17054,x17055,x17056,x17051),f225(x17053,x17054,x17055,x17056,x17052)) % 153.71/153.56 [1706]~E(x17061,x17062)+E(f734(x17061,x17063,x17064),f734(x17062,x17063,x17064)) % 153.71/153.56 [1707]~E(x17071,x17072)+E(f734(x17073,x17071,x17074),f734(x17073,x17072,x17074)) % 153.71/153.56 [1708]~E(x17081,x17082)+E(f734(x17083,x17084,x17081),f734(x17083,x17084,x17082)) % 153.71/153.56 [1709]~E(x17091,x17092)+E(f551(x17091,x17093,x17094,x17095,x17096),f551(x17092,x17093,x17094,x17095,x17096)) % 153.71/153.56 [1710]~E(x17101,x17102)+E(f551(x17103,x17101,x17104,x17105,x17106),f551(x17103,x17102,x17104,x17105,x17106)) % 153.71/153.56 [1711]~E(x17111,x17112)+E(f551(x17113,x17114,x17111,x17115,x17116),f551(x17113,x17114,x17112,x17115,x17116)) % 153.71/153.56 [1712]~E(x17121,x17122)+E(f551(x17123,x17124,x17125,x17121,x17126),f551(x17123,x17124,x17125,x17122,x17126)) % 153.71/153.56 [1713]~E(x17131,x17132)+E(f551(x17133,x17134,x17135,x17136,x17131),f551(x17133,x17134,x17135,x17136,x17132)) % 153.71/153.56 [1714]~E(x17141,x17142)+E(f700(x17141,x17143,x17144,x17145,x17146),f700(x17142,x17143,x17144,x17145,x17146)) % 153.71/153.56 [1715]~E(x17151,x17152)+E(f700(x17153,x17151,x17154,x17155,x17156),f700(x17153,x17152,x17154,x17155,x17156)) % 153.71/153.56 [1716]~E(x17161,x17162)+E(f700(x17163,x17164,x17161,x17165,x17166),f700(x17163,x17164,x17162,x17165,x17166)) % 153.71/153.56 [1717]~E(x17171,x17172)+E(f700(x17173,x17174,x17175,x17171,x17176),f700(x17173,x17174,x17175,x17172,x17176)) % 153.71/153.56 [1718]~E(x17181,x17182)+E(f700(x17183,x17184,x17185,x17186,x17181),f700(x17183,x17184,x17185,x17186,x17182)) % 153.71/153.56 [1719]~E(x17191,x17192)+E(f470(x17191,x17193,x17194,x17195,x17196),f470(x17192,x17193,x17194,x17195,x17196)) % 153.71/153.56 [1720]~E(x17201,x17202)+E(f470(x17203,x17201,x17204,x17205,x17206),f470(x17203,x17202,x17204,x17205,x17206)) % 153.71/153.56 [1721]~E(x17211,x17212)+E(f470(x17213,x17214,x17211,x17215,x17216),f470(x17213,x17214,x17212,x17215,x17216)) % 153.71/153.56 [1722]~E(x17221,x17222)+E(f470(x17223,x17224,x17225,x17221,x17226),f470(x17223,x17224,x17225,x17222,x17226)) % 153.71/153.56 [1723]~E(x17231,x17232)+E(f470(x17233,x17234,x17235,x17236,x17231),f470(x17233,x17234,x17235,x17236,x17232)) % 153.71/153.56 [1724]~E(x17241,x17242)+E(f463(x17241,x17243,x17244),f463(x17242,x17243,x17244)) % 153.71/153.56 [1725]~E(x17251,x17252)+E(f463(x17253,x17251,x17254),f463(x17253,x17252,x17254)) % 153.71/153.56 [1726]~E(x17261,x17262)+E(f463(x17263,x17264,x17261),f463(x17263,x17264,x17262)) % 153.71/153.56 [1727]~E(x17271,x17272)+E(f799(x17271,x17273),f799(x17272,x17273)) % 153.71/153.56 [1728]~E(x17281,x17282)+E(f799(x17283,x17281),f799(x17283,x17282)) % 153.71/153.56 [1729]~E(x17291,x17292)+E(f824(x17291,x17293,x17294),f824(x17292,x17293,x17294)) % 153.71/153.56 [1730]~E(x17301,x17302)+E(f824(x17303,x17301,x17304),f824(x17303,x17302,x17304)) % 153.71/153.56 [1731]~E(x17311,x17312)+E(f824(x17313,x17314,x17311),f824(x17313,x17314,x17312)) % 153.71/153.56 [1732]~E(x17321,x17322)+E(f187(x17321,x17323,x17324,x17325),f187(x17322,x17323,x17324,x17325)) % 153.71/153.56 [1733]~E(x17331,x17332)+E(f187(x17333,x17331,x17334,x17335),f187(x17333,x17332,x17334,x17335)) % 153.71/153.56 [1734]~E(x17341,x17342)+E(f187(x17343,x17344,x17341,x17345),f187(x17343,x17344,x17342,x17345)) % 153.71/153.56 [1735]~E(x17351,x17352)+E(f187(x17353,x17354,x17355,x17351),f187(x17353,x17354,x17355,x17352)) % 153.71/153.56 [1736]~E(x17361,x17362)+E(f259(x17361),f259(x17362)) % 153.71/153.56 [1737]~E(x17371,x17372)+E(f494(x17371,x17373,x17374,x17375,x17376),f494(x17372,x17373,x17374,x17375,x17376)) % 153.71/153.56 [1738]~E(x17381,x17382)+E(f494(x17383,x17381,x17384,x17385,x17386),f494(x17383,x17382,x17384,x17385,x17386)) % 153.71/153.56 [1739]~E(x17391,x17392)+E(f494(x17393,x17394,x17391,x17395,x17396),f494(x17393,x17394,x17392,x17395,x17396)) % 153.71/153.56 [1740]~E(x17401,x17402)+E(f494(x17403,x17404,x17405,x17401,x17406),f494(x17403,x17404,x17405,x17402,x17406)) % 153.71/153.56 [1741]~E(x17411,x17412)+E(f494(x17413,x17414,x17415,x17416,x17411),f494(x17413,x17414,x17415,x17416,x17412)) % 153.71/153.56 [1742]~E(x17421,x17422)+E(f341(x17421,x17423,x17424,x17425),f341(x17422,x17423,x17424,x17425)) % 153.71/153.56 [1743]~E(x17431,x17432)+E(f341(x17433,x17431,x17434,x17435),f341(x17433,x17432,x17434,x17435)) % 153.71/153.56 [1744]~E(x17441,x17442)+E(f341(x17443,x17444,x17441,x17445),f341(x17443,x17444,x17442,x17445)) % 153.71/153.56 [1745]~E(x17451,x17452)+E(f341(x17453,x17454,x17455,x17451),f341(x17453,x17454,x17455,x17452)) % 153.71/153.56 [1746]~E(x17461,x17462)+E(f625(x17461,x17463,x17464),f625(x17462,x17463,x17464)) % 153.71/153.56 [1747]~E(x17471,x17472)+E(f625(x17473,x17471,x17474),f625(x17473,x17472,x17474)) % 153.71/153.56 [1748]~E(x17481,x17482)+E(f625(x17483,x17484,x17481),f625(x17483,x17484,x17482)) % 153.71/153.56 [1749]~E(x17491,x17492)+E(f657(x17491,x17493,x17494,x17495,x17496,x17497),f657(x17492,x17493,x17494,x17495,x17496,x17497)) % 153.71/153.56 [1750]~E(x17501,x17502)+E(f657(x17503,x17501,x17504,x17505,x17506,x17507),f657(x17503,x17502,x17504,x17505,x17506,x17507)) % 153.71/153.56 [1751]~E(x17511,x17512)+E(f657(x17513,x17514,x17511,x17515,x17516,x17517),f657(x17513,x17514,x17512,x17515,x17516,x17517)) % 153.71/153.56 [1752]~E(x17521,x17522)+E(f657(x17523,x17524,x17525,x17521,x17526,x17527),f657(x17523,x17524,x17525,x17522,x17526,x17527)) % 153.71/153.56 [1753]~E(x17531,x17532)+E(f657(x17533,x17534,x17535,x17536,x17531,x17537),f657(x17533,x17534,x17535,x17536,x17532,x17537)) % 153.71/153.56 [1754]~E(x17541,x17542)+E(f657(x17543,x17544,x17545,x17546,x17547,x17541),f657(x17543,x17544,x17545,x17546,x17547,x17542)) % 153.71/153.56 [1755]~E(x17551,x17552)+E(f269(x17551,x17553,x17554,x17555),f269(x17552,x17553,x17554,x17555)) % 153.71/153.56 [1756]~E(x17561,x17562)+E(f269(x17563,x17561,x17564,x17565),f269(x17563,x17562,x17564,x17565)) % 153.71/153.56 [1757]~E(x17571,x17572)+E(f269(x17573,x17574,x17571,x17575),f269(x17573,x17574,x17572,x17575)) % 153.71/153.56 [1758]~E(x17581,x17582)+E(f269(x17583,x17584,x17585,x17581),f269(x17583,x17584,x17585,x17582)) % 153.71/153.56 [1759]~E(x17591,x17592)+E(f813(x17591,x17593,x17594),f813(x17592,x17593,x17594)) % 153.71/153.56 [1760]~E(x17601,x17602)+E(f813(x17603,x17601,x17604),f813(x17603,x17602,x17604)) % 153.71/153.56 [1761]~E(x17611,x17612)+E(f813(x17613,x17614,x17611),f813(x17613,x17614,x17612)) % 153.71/153.56 [1762]~E(x17621,x17622)+E(f453(x17621,x17623,x17624,x17625,x17626,x17627),f453(x17622,x17623,x17624,x17625,x17626,x17627)) % 153.71/153.56 [1763]~E(x17631,x17632)+E(f453(x17633,x17631,x17634,x17635,x17636,x17637),f453(x17633,x17632,x17634,x17635,x17636,x17637)) % 153.71/153.56 [1764]~E(x17641,x17642)+E(f453(x17643,x17644,x17641,x17645,x17646,x17647),f453(x17643,x17644,x17642,x17645,x17646,x17647)) % 153.71/153.56 [1765]~E(x17651,x17652)+E(f453(x17653,x17654,x17655,x17651,x17656,x17657),f453(x17653,x17654,x17655,x17652,x17656,x17657)) % 153.71/153.56 [1766]~E(x17661,x17662)+E(f453(x17663,x17664,x17665,x17666,x17661,x17667),f453(x17663,x17664,x17665,x17666,x17662,x17667)) % 153.71/153.56 [1767]~E(x17671,x17672)+E(f453(x17673,x17674,x17675,x17676,x17677,x17671),f453(x17673,x17674,x17675,x17676,x17677,x17672)) % 153.71/153.56 [1768]~E(x17681,x17682)+E(f399(x17681,x17683,x17684),f399(x17682,x17683,x17684)) % 153.71/153.56 [1769]~E(x17691,x17692)+E(f399(x17693,x17691,x17694),f399(x17693,x17692,x17694)) % 153.71/153.56 [1770]~E(x17701,x17702)+E(f399(x17703,x17704,x17701),f399(x17703,x17704,x17702)) % 153.71/153.56 [1771]~E(x17711,x17712)+E(f50(x17711),f50(x17712)) % 153.71/153.56 [1772]~E(x17721,x17722)+E(f661(x17721,x17723,x17724,x17725,x17726),f661(x17722,x17723,x17724,x17725,x17726)) % 153.71/153.56 [1773]~E(x17731,x17732)+E(f661(x17733,x17731,x17734,x17735,x17736),f661(x17733,x17732,x17734,x17735,x17736)) % 153.71/153.56 [1774]~E(x17741,x17742)+E(f661(x17743,x17744,x17741,x17745,x17746),f661(x17743,x17744,x17742,x17745,x17746)) % 153.71/153.56 [1775]~E(x17751,x17752)+E(f661(x17753,x17754,x17755,x17751,x17756),f661(x17753,x17754,x17755,x17752,x17756)) % 153.71/153.56 [1776]~E(x17761,x17762)+E(f661(x17763,x17764,x17765,x17766,x17761),f661(x17763,x17764,x17765,x17766,x17762)) % 153.71/153.56 [1777]~E(x17771,x17772)+E(f433(x17771,x17773),f433(x17772,x17773)) % 153.71/153.56 [1778]~E(x17781,x17782)+E(f433(x17783,x17781),f433(x17783,x17782)) % 153.71/153.56 [1779]~E(x17791,x17792)+E(f115(x17791,x17793,x17794,x17795),f115(x17792,x17793,x17794,x17795)) % 153.71/153.56 [1780]~E(x17801,x17802)+E(f115(x17803,x17801,x17804,x17805),f115(x17803,x17802,x17804,x17805)) % 153.71/153.56 [1781]~E(x17811,x17812)+E(f115(x17813,x17814,x17811,x17815),f115(x17813,x17814,x17812,x17815)) % 153.71/153.56 [1782]~E(x17821,x17822)+E(f115(x17823,x17824,x17825,x17821),f115(x17823,x17824,x17825,x17822)) % 153.71/153.56 [1783]~E(x17831,x17832)+E(f805(x17831,x17833,x17834),f805(x17832,x17833,x17834)) % 153.71/153.56 [1784]~E(x17841,x17842)+E(f805(x17843,x17841,x17844),f805(x17843,x17842,x17844)) % 153.71/153.56 [1785]~E(x17851,x17852)+E(f805(x17853,x17854,x17851),f805(x17853,x17854,x17852)) % 153.71/153.56 [1786]~E(x17861,x17862)+E(f630(x17861,x17863,x17864,x17865,x17866),f630(x17862,x17863,x17864,x17865,x17866)) % 153.71/153.56 [1787]~E(x17871,x17872)+E(f630(x17873,x17871,x17874,x17875,x17876),f630(x17873,x17872,x17874,x17875,x17876)) % 153.71/153.56 [1788]~E(x17881,x17882)+E(f630(x17883,x17884,x17881,x17885,x17886),f630(x17883,x17884,x17882,x17885,x17886)) % 153.71/153.56 [1789]~E(x17891,x17892)+E(f630(x17893,x17894,x17895,x17891,x17896),f630(x17893,x17894,x17895,x17892,x17896)) % 153.71/153.56 [1790]~E(x17901,x17902)+E(f630(x17903,x17904,x17905,x17906,x17901),f630(x17903,x17904,x17905,x17906,x17902)) % 153.71/153.56 [1791]~E(x17911,x17912)+E(f518(x17911,x17913,x17914,x17915),f518(x17912,x17913,x17914,x17915)) % 153.71/153.56 [1792]~E(x17921,x17922)+E(f518(x17923,x17921,x17924,x17925),f518(x17923,x17922,x17924,x17925)) % 153.71/153.56 [1793]~E(x17931,x17932)+E(f518(x17933,x17934,x17931,x17935),f518(x17933,x17934,x17932,x17935)) % 153.71/153.56 [1794]~E(x17941,x17942)+E(f518(x17943,x17944,x17945,x17941),f518(x17943,x17944,x17945,x17942)) % 153.71/153.56 [1795]~E(x17951,x17952)+E(f550(x17951,x17953,x17954),f550(x17952,x17953,x17954)) % 153.71/153.56 [1796]~E(x17961,x17962)+E(f550(x17963,x17961,x17964),f550(x17963,x17962,x17964)) % 153.71/153.56 [1797]~E(x17971,x17972)+E(f550(x17973,x17974,x17971),f550(x17973,x17974,x17972)) % 153.71/153.56 [1798]~E(x17981,x17982)+E(f545(x17981,x17983,x17984),f545(x17982,x17983,x17984)) % 153.71/153.56 [1799]~E(x17991,x17992)+E(f545(x17993,x17991,x17994),f545(x17993,x17992,x17994)) % 153.71/153.56 [1800]~E(x18001,x18002)+E(f545(x18003,x18004,x18001),f545(x18003,x18004,x18002)) % 153.71/153.56 [1801]~E(x18011,x18012)+E(f462(x18011,x18013,x18014),f462(x18012,x18013,x18014)) % 153.71/153.56 [1802]~E(x18021,x18022)+E(f462(x18023,x18021,x18024),f462(x18023,x18022,x18024)) % 153.71/153.56 [1803]~E(x18031,x18032)+E(f462(x18033,x18034,x18031),f462(x18033,x18034,x18032)) % 153.71/153.56 [1804]~E(x18041,x18042)+E(f737(x18041,x18043,x18044,x18045),f737(x18042,x18043,x18044,x18045)) % 153.71/153.56 [1805]~E(x18051,x18052)+E(f737(x18053,x18051,x18054,x18055),f737(x18053,x18052,x18054,x18055)) % 153.71/153.56 [1806]~E(x18061,x18062)+E(f737(x18063,x18064,x18061,x18065),f737(x18063,x18064,x18062,x18065)) % 153.71/153.56 [1807]~E(x18071,x18072)+E(f737(x18073,x18074,x18075,x18071),f737(x18073,x18074,x18075,x18072)) % 153.71/153.56 [1808]~E(x18081,x18082)+E(f651(x18081,x18083,x18084),f651(x18082,x18083,x18084)) % 153.71/153.56 [1809]~E(x18091,x18092)+E(f651(x18093,x18091,x18094),f651(x18093,x18092,x18094)) % 153.71/153.56 [1810]~E(x18101,x18102)+E(f651(x18103,x18104,x18101),f651(x18103,x18104,x18102)) % 153.71/153.56 [1811]~E(x18111,x18112)+E(f220(x18111,x18113,x18114,x18115),f220(x18112,x18113,x18114,x18115)) % 153.71/153.56 [1812]~E(x18121,x18122)+E(f220(x18123,x18121,x18124,x18125),f220(x18123,x18122,x18124,x18125)) % 153.71/153.56 [1813]~E(x18131,x18132)+E(f220(x18133,x18134,x18131,x18135),f220(x18133,x18134,x18132,x18135)) % 153.71/153.56 [1814]~E(x18141,x18142)+E(f220(x18143,x18144,x18145,x18141),f220(x18143,x18144,x18145,x18142)) % 153.71/153.56 [1815]~E(x18151,x18152)+E(f465(x18151,x18153,x18154,x18155,x18156),f465(x18152,x18153,x18154,x18155,x18156)) % 153.71/153.56 [1816]~E(x18161,x18162)+E(f465(x18163,x18161,x18164,x18165,x18166),f465(x18163,x18162,x18164,x18165,x18166)) % 153.71/153.56 [1817]~E(x18171,x18172)+E(f465(x18173,x18174,x18171,x18175,x18176),f465(x18173,x18174,x18172,x18175,x18176)) % 153.71/153.56 [1818]~E(x18181,x18182)+E(f465(x18183,x18184,x18185,x18181,x18186),f465(x18183,x18184,x18185,x18182,x18186)) % 153.71/153.56 [1819]~E(x18191,x18192)+E(f465(x18193,x18194,x18195,x18196,x18191),f465(x18193,x18194,x18195,x18196,x18192)) % 153.71/153.56 [1820]~E(x18201,x18202)+E(f757(x18201,x18203,x18204,x18205,x18206),f757(x18202,x18203,x18204,x18205,x18206)) % 153.71/153.56 [1821]~E(x18211,x18212)+E(f757(x18213,x18211,x18214,x18215,x18216),f757(x18213,x18212,x18214,x18215,x18216)) % 153.71/153.56 [1822]~E(x18221,x18222)+E(f757(x18223,x18224,x18221,x18225,x18226),f757(x18223,x18224,x18222,x18225,x18226)) % 153.71/153.56 [1823]~E(x18231,x18232)+E(f757(x18233,x18234,x18235,x18231,x18236),f757(x18233,x18234,x18235,x18232,x18236)) % 153.71/153.56 [1824]~E(x18241,x18242)+E(f757(x18243,x18244,x18245,x18246,x18241),f757(x18243,x18244,x18245,x18246,x18242)) % 153.71/153.56 [1825]~E(x18251,x18252)+E(f430(x18251,x18253,x18254,x18255),f430(x18252,x18253,x18254,x18255)) % 153.71/153.56 [1826]~E(x18261,x18262)+E(f430(x18263,x18261,x18264,x18265),f430(x18263,x18262,x18264,x18265)) % 153.71/153.56 [1827]~E(x18271,x18272)+E(f430(x18273,x18274,x18271,x18275),f430(x18273,x18274,x18272,x18275)) % 153.71/153.56 [1828]~E(x18281,x18282)+E(f430(x18283,x18284,x18285,x18281),f430(x18283,x18284,x18285,x18282)) % 153.71/153.56 [1829]~E(x18291,x18292)+E(f427(x18291,x18293,x18294,x18295),f427(x18292,x18293,x18294,x18295)) % 153.71/153.56 [1830]~E(x18301,x18302)+E(f427(x18303,x18301,x18304,x18305),f427(x18303,x18302,x18304,x18305)) % 153.71/153.56 [1831]~E(x18311,x18312)+E(f427(x18313,x18314,x18311,x18315),f427(x18313,x18314,x18312,x18315)) % 153.71/153.56 [1832]~E(x18321,x18322)+E(f427(x18323,x18324,x18325,x18321),f427(x18323,x18324,x18325,x18322)) % 153.71/153.56 [1833]~E(x18331,x18332)+E(f489(x18331,x18333,x18334),f489(x18332,x18333,x18334)) % 153.71/153.56 [1834]~E(x18341,x18342)+E(f489(x18343,x18341,x18344),f489(x18343,x18342,x18344)) % 153.71/153.56 [1835]~E(x18351,x18352)+E(f489(x18353,x18354,x18351),f489(x18353,x18354,x18352)) % 153.71/153.56 [1836]~E(x18361,x18362)+E(f479(x18361,x18363,x18364),f479(x18362,x18363,x18364)) % 153.71/153.56 [1837]~E(x18371,x18372)+E(f479(x18373,x18371,x18374),f479(x18373,x18372,x18374)) % 153.71/153.56 [1838]~E(x18381,x18382)+E(f479(x18383,x18384,x18381),f479(x18383,x18384,x18382)) % 153.71/153.56 [1839]~E(x18391,x18392)+E(f286(x18391,x18393,x18394,x18395),f286(x18392,x18393,x18394,x18395)) % 153.71/153.56 [1840]~E(x18401,x18402)+E(f286(x18403,x18401,x18404,x18405),f286(x18403,x18402,x18404,x18405)) % 153.71/153.56 [1841]~E(x18411,x18412)+E(f286(x18413,x18414,x18411,x18415),f286(x18413,x18414,x18412,x18415)) % 153.71/153.56 [1842]~E(x18421,x18422)+E(f286(x18423,x18424,x18425,x18421),f286(x18423,x18424,x18425,x18422)) % 153.71/153.56 [1843]~E(x18431,x18432)+E(f396(x18431,x18433),f396(x18432,x18433)) % 153.71/153.56 [1844]~E(x18441,x18442)+E(f396(x18443,x18441),f396(x18443,x18442)) % 153.71/153.56 [1845]~E(x18451,x18452)+E(f622(x18451,x18453,x18454,x18455,x18456),f622(x18452,x18453,x18454,x18455,x18456)) % 153.71/153.56 [1846]~E(x18461,x18462)+E(f622(x18463,x18461,x18464,x18465,x18466),f622(x18463,x18462,x18464,x18465,x18466)) % 153.71/153.56 [1847]~E(x18471,x18472)+E(f622(x18473,x18474,x18471,x18475,x18476),f622(x18473,x18474,x18472,x18475,x18476)) % 153.71/153.56 [1848]~E(x18481,x18482)+E(f622(x18483,x18484,x18485,x18481,x18486),f622(x18483,x18484,x18485,x18482,x18486)) % 153.71/153.56 [1849]~E(x18491,x18492)+E(f622(x18493,x18494,x18495,x18496,x18491),f622(x18493,x18494,x18495,x18496,x18492)) % 153.71/153.56 [1850]~E(x18501,x18502)+E(f468(x18501,x18503,x18504,x18505,x18506),f468(x18502,x18503,x18504,x18505,x18506)) % 153.71/153.56 [1851]~E(x18511,x18512)+E(f468(x18513,x18511,x18514,x18515,x18516),f468(x18513,x18512,x18514,x18515,x18516)) % 153.71/153.56 [1852]~E(x18521,x18522)+E(f468(x18523,x18524,x18521,x18525,x18526),f468(x18523,x18524,x18522,x18525,x18526)) % 153.71/153.56 [1853]~E(x18531,x18532)+E(f468(x18533,x18534,x18535,x18531,x18536),f468(x18533,x18534,x18535,x18532,x18536)) % 153.71/153.56 [1854]~E(x18541,x18542)+E(f468(x18543,x18544,x18545,x18546,x18541),f468(x18543,x18544,x18545,x18546,x18542)) % 153.71/153.56 [1855]~E(x18551,x18552)+E(f370(x18551,x18553,x18554,x18555),f370(x18552,x18553,x18554,x18555)) % 153.71/153.56 [1856]~E(x18561,x18562)+E(f370(x18563,x18561,x18564,x18565),f370(x18563,x18562,x18564,x18565)) % 153.71/153.56 [1857]~E(x18571,x18572)+E(f370(x18573,x18574,x18571,x18575),f370(x18573,x18574,x18572,x18575)) % 153.71/153.56 [1858]~E(x18581,x18582)+E(f370(x18583,x18584,x18585,x18581),f370(x18583,x18584,x18585,x18582)) % 153.71/153.56 [1859]~E(x18591,x18592)+E(f504(x18591,x18593,x18594,x18595),f504(x18592,x18593,x18594,x18595)) % 153.71/153.56 [1860]~E(x18601,x18602)+E(f504(x18603,x18601,x18604,x18605),f504(x18603,x18602,x18604,x18605)) % 153.71/153.56 [1861]~E(x18611,x18612)+E(f504(x18613,x18614,x18611,x18615),f504(x18613,x18614,x18612,x18615)) % 153.71/153.56 [1862]~E(x18621,x18622)+E(f504(x18623,x18624,x18625,x18621),f504(x18623,x18624,x18625,x18622)) % 153.71/153.56 [1863]~E(x18631,x18632)+E(f418(x18631,x18633,x18634,x18635),f418(x18632,x18633,x18634,x18635)) % 153.71/153.56 [1864]~E(x18641,x18642)+E(f418(x18643,x18641,x18644,x18645),f418(x18643,x18642,x18644,x18645)) % 153.71/153.56 [1865]~E(x18651,x18652)+E(f418(x18653,x18654,x18651,x18655),f418(x18653,x18654,x18652,x18655)) % 153.71/153.56 [1866]~E(x18661,x18662)+E(f418(x18663,x18664,x18665,x18661),f418(x18663,x18664,x18665,x18662)) % 153.71/153.56 [1867]~E(x18671,x18672)+E(f346(x18671),f346(x18672)) % 153.71/153.56 [1868]~E(x18681,x18682)+E(f352(x18681,x18683,x18684,x18685),f352(x18682,x18683,x18684,x18685)) % 153.71/153.56 [1869]~E(x18691,x18692)+E(f352(x18693,x18691,x18694,x18695),f352(x18693,x18692,x18694,x18695)) % 153.71/153.56 [1870]~E(x18701,x18702)+E(f352(x18703,x18704,x18701,x18705),f352(x18703,x18704,x18702,x18705)) % 153.71/153.56 [1871]~E(x18711,x18712)+E(f352(x18713,x18714,x18715,x18711),f352(x18713,x18714,x18715,x18712)) % 153.71/153.56 [1872]~E(x18721,x18722)+E(f566(x18721,x18723,x18724,x18725),f566(x18722,x18723,x18724,x18725)) % 153.71/153.56 [1873]~E(x18731,x18732)+E(f566(x18733,x18731,x18734,x18735),f566(x18733,x18732,x18734,x18735)) % 153.71/153.56 [1874]~E(x18741,x18742)+E(f566(x18743,x18744,x18741,x18745),f566(x18743,x18744,x18742,x18745)) % 153.71/153.56 [1875]~E(x18751,x18752)+E(f566(x18753,x18754,x18755,x18751),f566(x18753,x18754,x18755,x18752)) % 153.71/153.56 [1876]~E(x18761,x18762)+E(f265(x18761,x18763),f265(x18762,x18763)) % 153.71/153.56 [1877]~E(x18771,x18772)+E(f265(x18773,x18771),f265(x18773,x18772)) % 153.71/153.56 [1878]~E(x18781,x18782)+E(f388(x18781,x18783),f388(x18782,x18783)) % 153.71/153.56 [1879]~E(x18791,x18792)+E(f388(x18793,x18791),f388(x18793,x18792)) % 153.71/153.56 [1880]~E(x18801,x18802)+E(f600(x18801,x18803),f600(x18802,x18803)) % 153.71/153.56 [1881]~E(x18811,x18812)+E(f600(x18813,x18811),f600(x18813,x18812)) % 153.71/153.56 [1882]~E(x18821,x18822)+E(f682(x18821,x18823,x18824,x18825,x18826),f682(x18822,x18823,x18824,x18825,x18826)) % 153.71/153.56 [1883]~E(x18831,x18832)+E(f682(x18833,x18831,x18834,x18835,x18836),f682(x18833,x18832,x18834,x18835,x18836)) % 153.71/153.56 [1884]~E(x18841,x18842)+E(f682(x18843,x18844,x18841,x18845,x18846),f682(x18843,x18844,x18842,x18845,x18846)) % 153.71/153.56 [1885]~E(x18851,x18852)+E(f682(x18853,x18854,x18855,x18851,x18856),f682(x18853,x18854,x18855,x18852,x18856)) % 153.71/153.56 [1886]~E(x18861,x18862)+E(f682(x18863,x18864,x18865,x18866,x18861),f682(x18863,x18864,x18865,x18866,x18862)) % 153.71/153.56 [1887]~E(x18871,x18872)+E(f331(x18871,x18873,x18874,x18875),f331(x18872,x18873,x18874,x18875)) % 153.71/153.56 [1888]~E(x18881,x18882)+E(f331(x18883,x18881,x18884,x18885),f331(x18883,x18882,x18884,x18885)) % 153.71/153.56 [1889]~E(x18891,x18892)+E(f331(x18893,x18894,x18891,x18895),f331(x18893,x18894,x18892,x18895)) % 153.71/153.56 [1890]~E(x18901,x18902)+E(f331(x18903,x18904,x18905,x18901),f331(x18903,x18904,x18905,x18902)) % 153.71/153.56 [1891]~E(x18911,x18912)+E(f689(x18911,x18913,x18914,x18915,x18916),f689(x18912,x18913,x18914,x18915,x18916)) % 153.71/153.56 [1892]~E(x18921,x18922)+E(f689(x18923,x18921,x18924,x18925,x18926),f689(x18923,x18922,x18924,x18925,x18926)) % 153.71/153.56 [1893]~E(x18931,x18932)+E(f689(x18933,x18934,x18931,x18935,x18936),f689(x18933,x18934,x18932,x18935,x18936)) % 153.71/153.56 [1894]~E(x18941,x18942)+E(f689(x18943,x18944,x18945,x18941,x18946),f689(x18943,x18944,x18945,x18942,x18946)) % 153.71/153.56 [1895]~E(x18951,x18952)+E(f689(x18953,x18954,x18955,x18956,x18951),f689(x18953,x18954,x18955,x18956,x18952)) % 153.71/153.56 [1896]~E(x18961,x18962)+E(f513(x18961,x18963,x18964,x18965,x18966),f513(x18962,x18963,x18964,x18965,x18966)) % 153.71/153.56 [1897]~E(x18971,x18972)+E(f513(x18973,x18971,x18974,x18975,x18976),f513(x18973,x18972,x18974,x18975,x18976)) % 153.71/153.56 [1898]~E(x18981,x18982)+E(f513(x18983,x18984,x18981,x18985,x18986),f513(x18983,x18984,x18982,x18985,x18986)) % 153.71/153.56 [1899]~E(x18991,x18992)+E(f513(x18993,x18994,x18995,x18991,x18996),f513(x18993,x18994,x18995,x18992,x18996)) % 153.71/153.56 [1900]~E(x19001,x19002)+E(f513(x19003,x19004,x19005,x19006,x19001),f513(x19003,x19004,x19005,x19006,x19002)) % 153.71/153.56 [1901]~E(x19011,x19012)+E(f704(x19011,x19013),f704(x19012,x19013)) % 153.71/153.56 [1902]~E(x19021,x19022)+E(f704(x19023,x19021),f704(x19023,x19022)) % 153.71/153.56 [1903]~E(x19031,x19032)+E(f646(x19031,x19033),f646(x19032,x19033)) % 153.71/153.56 [1904]~E(x19041,x19042)+E(f646(x19043,x19041),f646(x19043,x19042)) % 153.71/153.56 [1905]~E(x19051,x19052)+E(f607(x19051,x19053,x19054,x19055),f607(x19052,x19053,x19054,x19055)) % 153.71/153.56 [1906]~E(x19061,x19062)+E(f607(x19063,x19061,x19064,x19065),f607(x19063,x19062,x19064,x19065)) % 153.71/153.56 [1907]~E(x19071,x19072)+E(f607(x19073,x19074,x19071,x19075),f607(x19073,x19074,x19072,x19075)) % 153.71/153.56 [1908]~E(x19081,x19082)+E(f607(x19083,x19084,x19085,x19081),f607(x19083,x19084,x19085,x19082)) % 153.71/153.56 [1909]~E(x19091,x19092)+E(f525(x19091),f525(x19092)) % 153.71/153.56 [1910]~E(x19101,x19102)+E(f381(x19101,x19103,x19104,x19105,x19106),f381(x19102,x19103,x19104,x19105,x19106)) % 153.71/153.56 [1911]~E(x19111,x19112)+E(f381(x19113,x19111,x19114,x19115,x19116),f381(x19113,x19112,x19114,x19115,x19116)) % 153.71/153.56 [1912]~E(x19121,x19122)+E(f381(x19123,x19124,x19121,x19125,x19126),f381(x19123,x19124,x19122,x19125,x19126)) % 153.71/153.56 [1913]~E(x19131,x19132)+E(f381(x19133,x19134,x19135,x19131,x19136),f381(x19133,x19134,x19135,x19132,x19136)) % 153.71/153.56 [1914]~E(x19141,x19142)+E(f381(x19143,x19144,x19145,x19146,x19141),f381(x19143,x19144,x19145,x19146,x19142)) % 153.71/153.56 [1915]~E(x19151,x19152)+E(f548(x19151,x19153),f548(x19152,x19153)) % 153.71/153.56 [1916]~E(x19161,x19162)+E(f548(x19163,x19161),f548(x19163,x19162)) % 153.71/153.56 [1917]~E(x19171,x19172)+E(f581(x19171,x19173,x19174,x19175),f581(x19172,x19173,x19174,x19175)) % 153.71/153.56 [1918]~E(x19181,x19182)+E(f581(x19183,x19181,x19184,x19185),f581(x19183,x19182,x19184,x19185)) % 153.71/153.56 [1919]~E(x19191,x19192)+E(f581(x19193,x19194,x19191,x19195),f581(x19193,x19194,x19192,x19195)) % 153.71/153.56 [1920]~E(x19201,x19202)+E(f581(x19203,x19204,x19205,x19201),f581(x19203,x19204,x19205,x19202)) % 153.71/153.56 [1921]~E(x19211,x19212)+E(f383(x19211,x19213,x19214),f383(x19212,x19213,x19214)) % 153.71/153.56 [1922]~E(x19221,x19222)+E(f383(x19223,x19221,x19224),f383(x19223,x19222,x19224)) % 153.71/153.56 [1923]~E(x19231,x19232)+E(f383(x19233,x19234,x19231),f383(x19233,x19234,x19232)) % 153.71/153.56 [1924]~E(x19241,x19242)+E(f526(x19241),f526(x19242)) % 153.71/153.56 [1925]~E(x19251,x19252)+E(f674(x19251,x19253,x19254,x19255),f674(x19252,x19253,x19254,x19255)) % 153.71/153.56 [1926]~E(x19261,x19262)+E(f674(x19263,x19261,x19264,x19265),f674(x19263,x19262,x19264,x19265)) % 153.71/153.56 [1927]~E(x19271,x19272)+E(f674(x19273,x19274,x19271,x19275),f674(x19273,x19274,x19272,x19275)) % 153.71/153.56 [1928]~E(x19281,x19282)+E(f674(x19283,x19284,x19285,x19281),f674(x19283,x19284,x19285,x19282)) % 153.71/153.56 [1929]~E(x19291,x19292)+E(f509(x19291,x19293,x19294),f509(x19292,x19293,x19294)) % 153.71/153.56 [1930]~E(x19301,x19302)+E(f509(x19303,x19301,x19304),f509(x19303,x19302,x19304)) % 153.71/153.56 [1931]~E(x19311,x19312)+E(f509(x19313,x19314,x19311),f509(x19313,x19314,x19312)) % 153.71/153.56 [1932]~E(x19321,x19322)+E(f426(x19321,x19323,x19324,x19325),f426(x19322,x19323,x19324,x19325)) % 153.71/153.56 [1933]~E(x19331,x19332)+E(f426(x19333,x19331,x19334,x19335),f426(x19333,x19332,x19334,x19335)) % 153.71/153.56 [1934]~E(x19341,x19342)+E(f426(x19343,x19344,x19341,x19345),f426(x19343,x19344,x19342,x19345)) % 153.71/153.56 [1935]~E(x19351,x19352)+E(f426(x19353,x19354,x19355,x19351),f426(x19353,x19354,x19355,x19352)) % 153.71/153.56 [1936]~E(x19361,x19362)+E(f217(x19361,x19363,x19364),f217(x19362,x19363,x19364)) % 153.71/153.56 [1937]~E(x19371,x19372)+E(f217(x19373,x19371,x19374),f217(x19373,x19372,x19374)) % 153.71/153.56 [1938]~E(x19381,x19382)+E(f217(x19383,x19384,x19381),f217(x19383,x19384,x19382)) % 153.71/153.56 [1939]~E(x19391,x19392)+E(f575(x19391,x19393,x19394),f575(x19392,x19393,x19394)) % 153.71/153.56 [1940]~E(x19401,x19402)+E(f575(x19403,x19401,x19404),f575(x19403,x19402,x19404)) % 153.71/153.56 [1941]~E(x19411,x19412)+E(f575(x19413,x19414,x19411),f575(x19413,x19414,x19412)) % 153.71/153.56 [1942]~E(x19421,x19422)+E(f538(x19421,x19423,x19424,x19425,x19426),f538(x19422,x19423,x19424,x19425,x19426)) % 153.71/153.56 [1943]~E(x19431,x19432)+E(f538(x19433,x19431,x19434,x19435,x19436),f538(x19433,x19432,x19434,x19435,x19436)) % 153.71/153.56 [1944]~E(x19441,x19442)+E(f538(x19443,x19444,x19441,x19445,x19446),f538(x19443,x19444,x19442,x19445,x19446)) % 153.71/153.56 [1945]~E(x19451,x19452)+E(f538(x19453,x19454,x19455,x19451,x19456),f538(x19453,x19454,x19455,x19452,x19456)) % 153.71/153.56 [1946]~E(x19461,x19462)+E(f538(x19463,x19464,x19465,x19466,x19461),f538(x19463,x19464,x19465,x19466,x19462)) % 153.71/153.56 [1947]~E(x19471,x19472)+E(f722(x19471,x19473),f722(x19472,x19473)) % 153.71/153.56 [1948]~E(x19481,x19482)+E(f722(x19483,x19481),f722(x19483,x19482)) % 153.71/153.56 [1949]~E(x19491,x19492)+E(f533(x19491,x19493,x19494),f533(x19492,x19493,x19494)) % 153.71/153.56 [1950]~E(x19501,x19502)+E(f533(x19503,x19501,x19504),f533(x19503,x19502,x19504)) % 153.71/153.56 [1951]~E(x19511,x19512)+E(f533(x19513,x19514,x19511),f533(x19513,x19514,x19512)) % 153.71/153.56 [1952]~E(x19521,x19522)+E(f815(x19521,x19523,x19524,x19525,x19526,x19527,x19528),f815(x19522,x19523,x19524,x19525,x19526,x19527,x19528)) % 153.71/153.56 [1953]~E(x19531,x19532)+E(f815(x19533,x19531,x19534,x19535,x19536,x19537,x19538),f815(x19533,x19532,x19534,x19535,x19536,x19537,x19538)) % 153.71/153.56 [1954]~E(x19541,x19542)+E(f815(x19543,x19544,x19541,x19545,x19546,x19547,x19548),f815(x19543,x19544,x19542,x19545,x19546,x19547,x19548)) % 153.71/153.56 [1955]~E(x19551,x19552)+E(f815(x19553,x19554,x19555,x19551,x19556,x19557,x19558),f815(x19553,x19554,x19555,x19552,x19556,x19557,x19558)) % 153.71/153.56 [1956]~E(x19561,x19562)+E(f815(x19563,x19564,x19565,x19566,x19561,x19567,x19568),f815(x19563,x19564,x19565,x19566,x19562,x19567,x19568)) % 153.71/153.56 [1957]~E(x19571,x19572)+E(f815(x19573,x19574,x19575,x19576,x19577,x19571,x19578),f815(x19573,x19574,x19575,x19576,x19577,x19572,x19578)) % 153.71/153.56 [1958]~E(x19581,x19582)+E(f815(x19583,x19584,x19585,x19586,x19587,x19588,x19581),f815(x19583,x19584,x19585,x19586,x19587,x19588,x19582)) % 153.71/153.56 [1959]~E(x19591,x19592)+E(f586(x19591,x19593),f586(x19592,x19593)) % 153.71/153.56 [1960]~E(x19601,x19602)+E(f586(x19603,x19601),f586(x19603,x19602)) % 153.71/153.56 [1961]~E(x19611,x19612)+E(f634(x19611,x19613,x19614),f634(x19612,x19613,x19614)) % 153.71/153.56 [1962]~E(x19621,x19622)+E(f634(x19623,x19621,x19624),f634(x19623,x19622,x19624)) % 153.71/153.56 [1963]~E(x19631,x19632)+E(f634(x19633,x19634,x19631),f634(x19633,x19634,x19632)) % 153.71/153.56 [1964]~E(x19641,x19642)+E(f266(x19641,x19643,x19644,x19645),f266(x19642,x19643,x19644,x19645)) % 153.71/153.56 [1965]~E(x19651,x19652)+E(f266(x19653,x19651,x19654,x19655),f266(x19653,x19652,x19654,x19655)) % 153.71/153.56 [1966]~E(x19661,x19662)+E(f266(x19663,x19664,x19661,x19665),f266(x19663,x19664,x19662,x19665)) % 153.71/153.56 [1967]~E(x19671,x19672)+E(f266(x19673,x19674,x19675,x19671),f266(x19673,x19674,x19675,x19672)) % 153.71/153.56 [1968]~E(x19681,x19682)+E(f333(x19681,x19683),f333(x19682,x19683)) % 153.71/153.56 [1969]~E(x19691,x19692)+E(f333(x19693,x19691),f333(x19693,x19692)) % 153.71/153.56 [1970]~E(x19701,x19702)+E(f558(x19701,x19703),f558(x19702,x19703)) % 153.71/153.56 [1971]~E(x19711,x19712)+E(f558(x19713,x19711),f558(x19713,x19712)) % 153.71/153.56 [1972]~E(x19721,x19722)+E(f192(x19721),f192(x19722)) % 153.71/153.56 [1973]~E(x19731,x19732)+E(f64(x19731,x19733,x19734),f64(x19732,x19733,x19734)) % 153.71/153.56 [1974]~E(x19741,x19742)+E(f64(x19743,x19741,x19744),f64(x19743,x19742,x19744)) % 153.71/153.56 [1975]~E(x19751,x19752)+E(f64(x19753,x19754,x19751),f64(x19753,x19754,x19752)) % 153.71/153.56 [1976]~E(x19761,x19762)+E(f687(x19761,x19763,x19764,x19765,x19766,x19767),f687(x19762,x19763,x19764,x19765,x19766,x19767)) % 153.71/153.56 [1977]~E(x19771,x19772)+E(f687(x19773,x19771,x19774,x19775,x19776,x19777),f687(x19773,x19772,x19774,x19775,x19776,x19777)) % 153.71/153.56 [1978]~E(x19781,x19782)+E(f687(x19783,x19784,x19781,x19785,x19786,x19787),f687(x19783,x19784,x19782,x19785,x19786,x19787)) % 153.71/153.56 [1979]~E(x19791,x19792)+E(f687(x19793,x19794,x19795,x19791,x19796,x19797),f687(x19793,x19794,x19795,x19792,x19796,x19797)) % 153.71/153.56 [1980]~E(x19801,x19802)+E(f687(x19803,x19804,x19805,x19806,x19801,x19807),f687(x19803,x19804,x19805,x19806,x19802,x19807)) % 153.71/153.56 [1981]~E(x19811,x19812)+E(f687(x19813,x19814,x19815,x19816,x19817,x19811),f687(x19813,x19814,x19815,x19816,x19817,x19812)) % 153.71/153.56 [1982]~E(x19821,x19822)+E(f92(x19821),f92(x19822)) % 153.71/153.56 [1983]~E(x19831,x19832)+E(f193(x19831,x19833),f193(x19832,x19833)) % 153.71/153.56 [1984]~E(x19841,x19842)+E(f193(x19843,x19841),f193(x19843,x19842)) % 153.71/153.56 [1985]~E(x19851,x19852)+E(f750(x19851,x19853),f750(x19852,x19853)) % 153.71/153.56 [1986]~E(x19861,x19862)+E(f750(x19863,x19861),f750(x19863,x19862)) % 153.71/153.56 [1987]~E(x19871,x19872)+E(f497(x19871,x19873),f497(x19872,x19873)) % 153.71/153.56 [1988]~E(x19881,x19882)+E(f497(x19883,x19881),f497(x19883,x19882)) % 153.71/153.56 [1989]~E(x19891,x19892)+E(f546(x19891,x19893,x19894),f546(x19892,x19893,x19894)) % 153.71/153.56 [1990]~E(x19901,x19902)+E(f546(x19903,x19901,x19904),f546(x19903,x19902,x19904)) % 153.71/153.56 [1991]~E(x19911,x19912)+E(f546(x19913,x19914,x19911),f546(x19913,x19914,x19912)) % 153.71/153.56 [1992]~E(x19921,x19922)+E(f342(x19921,x19923,x19924,x19925),f342(x19922,x19923,x19924,x19925)) % 153.71/153.56 [1993]~E(x19931,x19932)+E(f342(x19933,x19931,x19934,x19935),f342(x19933,x19932,x19934,x19935)) % 153.71/153.56 [1994]~E(x19941,x19942)+E(f342(x19943,x19944,x19941,x19945),f342(x19943,x19944,x19942,x19945)) % 153.71/153.56 [1995]~E(x19951,x19952)+E(f342(x19953,x19954,x19955,x19951),f342(x19953,x19954,x19955,x19952)) % 153.71/153.56 [1996]~E(x19961,x19962)+E(f793(x19961,x19963,x19964),f793(x19962,x19963,x19964)) % 153.71/153.56 [1997]~E(x19971,x19972)+E(f793(x19973,x19971,x19974),f793(x19973,x19972,x19974)) % 153.71/153.56 [1998]~E(x19981,x19982)+E(f793(x19983,x19984,x19981),f793(x19983,x19984,x19982)) % 153.71/153.56 [1999]~E(x19991,x19992)+E(f560(x19991,x19993),f560(x19992,x19993)) % 153.71/153.56 [2000]~E(x20001,x20002)+E(f560(x20003,x20001),f560(x20003,x20002)) % 153.71/153.56 [2001]~E(x20011,x20012)+E(f417(x20011,x20013,x20014,x20015),f417(x20012,x20013,x20014,x20015)) % 153.71/153.56 [2002]~E(x20021,x20022)+E(f417(x20023,x20021,x20024,x20025),f417(x20023,x20022,x20024,x20025)) % 153.71/153.56 [2003]~E(x20031,x20032)+E(f417(x20033,x20034,x20031,x20035),f417(x20033,x20034,x20032,x20035)) % 153.71/153.56 [2004]~E(x20041,x20042)+E(f417(x20043,x20044,x20045,x20041),f417(x20043,x20044,x20045,x20042)) % 153.71/153.56 [2005]~E(x20051,x20052)+E(f267(x20051,x20053,x20054,x20055),f267(x20052,x20053,x20054,x20055)) % 153.71/153.56 [2006]~E(x20061,x20062)+E(f267(x20063,x20061,x20064,x20065),f267(x20063,x20062,x20064,x20065)) % 153.71/153.56 [2007]~E(x20071,x20072)+E(f267(x20073,x20074,x20071,x20075),f267(x20073,x20074,x20072,x20075)) % 153.71/153.56 [2008]~E(x20081,x20082)+E(f267(x20083,x20084,x20085,x20081),f267(x20083,x20084,x20085,x20082)) % 153.71/153.56 [2009]~E(x20091,x20092)+E(f405(x20091,x20093,x20094,x20095),f405(x20092,x20093,x20094,x20095)) % 153.71/153.56 [2010]~E(x20101,x20102)+E(f405(x20103,x20101,x20104,x20105),f405(x20103,x20102,x20104,x20105)) % 153.71/153.56 [2011]~E(x20111,x20112)+E(f405(x20113,x20114,x20111,x20115),f405(x20113,x20114,x20112,x20115)) % 153.71/153.56 [2012]~E(x20121,x20122)+E(f405(x20123,x20124,x20125,x20121),f405(x20123,x20124,x20125,x20122)) % 153.71/153.56 [2013]~E(x20131,x20132)+E(f196(x20131,x20133,x20134,x20135),f196(x20132,x20133,x20134,x20135)) % 153.71/153.56 [2014]~E(x20141,x20142)+E(f196(x20143,x20141,x20144,x20145),f196(x20143,x20142,x20144,x20145)) % 153.71/153.56 [2015]~E(x20151,x20152)+E(f196(x20153,x20154,x20151,x20155),f196(x20153,x20154,x20152,x20155)) % 153.71/153.56 [2016]~E(x20161,x20162)+E(f196(x20163,x20164,x20165,x20161),f196(x20163,x20164,x20165,x20162)) % 153.71/153.56 [2017]~E(x20171,x20172)+E(f424(x20171,x20173,x20174),f424(x20172,x20173,x20174)) % 153.71/153.56 [2018]~E(x20181,x20182)+E(f424(x20183,x20181,x20184),f424(x20183,x20182,x20184)) % 153.71/153.56 [2019]~E(x20191,x20192)+E(f424(x20193,x20194,x20191),f424(x20193,x20194,x20192)) % 153.71/153.56 [2020]~E(x20201,x20202)+E(f536(x20201,x20203,x20204,x20205),f536(x20202,x20203,x20204,x20205)) % 153.71/153.56 [2021]~E(x20211,x20212)+E(f536(x20213,x20211,x20214,x20215),f536(x20213,x20212,x20214,x20215)) % 153.71/153.56 [2022]~E(x20221,x20222)+E(f536(x20223,x20224,x20221,x20225),f536(x20223,x20224,x20222,x20225)) % 153.71/153.56 [2023]~E(x20231,x20232)+E(f536(x20233,x20234,x20235,x20231),f536(x20233,x20234,x20235,x20232)) % 153.71/153.56 [2024]~E(x20241,x20242)+E(f707(x20241,x20243,x20244),f707(x20242,x20243,x20244)) % 153.71/153.56 [2025]~E(x20251,x20252)+E(f707(x20253,x20251,x20254),f707(x20253,x20252,x20254)) % 153.71/153.56 [2026]~E(x20261,x20262)+E(f707(x20263,x20264,x20261),f707(x20263,x20264,x20262)) % 153.71/153.56 [2027]~E(x20271,x20272)+E(f666(x20271,x20273),f666(x20272,x20273)) % 153.71/153.56 [2028]~E(x20281,x20282)+E(f666(x20283,x20281),f666(x20283,x20282)) % 153.71/153.56 [2029]~E(x20291,x20292)+E(f579(x20291,x20293,x20294),f579(x20292,x20293,x20294)) % 153.71/153.56 [2030]~E(x20301,x20302)+E(f579(x20303,x20301,x20304),f579(x20303,x20302,x20304)) % 153.71/153.56 [2031]~E(x20311,x20312)+E(f579(x20313,x20314,x20311),f579(x20313,x20314,x20312)) % 153.71/153.56 [2032]~E(x20321,x20322)+E(f343(x20321,x20323,x20324),f343(x20322,x20323,x20324)) % 153.71/153.56 [2033]~E(x20331,x20332)+E(f343(x20333,x20331,x20334),f343(x20333,x20332,x20334)) % 153.71/153.56 [2034]~E(x20341,x20342)+E(f343(x20343,x20344,x20341),f343(x20343,x20344,x20342)) % 153.71/153.56 [2035]~E(x20351,x20352)+E(f817(x20351,x20353,x20354),f817(x20352,x20353,x20354)) % 153.71/153.56 [2036]~E(x20361,x20362)+E(f817(x20363,x20361,x20364),f817(x20363,x20362,x20364)) % 153.71/153.56 [2037]~E(x20371,x20372)+E(f817(x20373,x20374,x20371),f817(x20373,x20374,x20372)) % 153.71/153.56 [2038]~E(x20381,x20382)+E(f332(x20381),f332(x20382)) % 153.71/153.56 [2039]~E(x20391,x20392)+E(f571(x20391,x20393,x20394,x20395),f571(x20392,x20393,x20394,x20395)) % 153.71/153.56 [2040]~E(x20401,x20402)+E(f571(x20403,x20401,x20404,x20405),f571(x20403,x20402,x20404,x20405)) % 153.71/153.56 [2041]~E(x20411,x20412)+E(f571(x20413,x20414,x20411,x20415),f571(x20413,x20414,x20412,x20415)) % 153.71/153.56 [2042]~E(x20421,x20422)+E(f571(x20423,x20424,x20425,x20421),f571(x20423,x20424,x20425,x20422)) % 153.71/153.56 [2043]~E(x20431,x20432)+E(f544(x20431,x20433,x20434),f544(x20432,x20433,x20434)) % 153.71/153.56 [2044]~E(x20441,x20442)+E(f544(x20443,x20441,x20444),f544(x20443,x20442,x20444)) % 153.71/153.56 [2045]~E(x20451,x20452)+E(f544(x20453,x20454,x20451),f544(x20453,x20454,x20452)) % 153.71/153.56 [2046]~E(x20461,x20462)+E(f495(x20461,x20463,x20464,x20465,x20466),f495(x20462,x20463,x20464,x20465,x20466)) % 153.71/153.56 [2047]~E(x20471,x20472)+E(f495(x20473,x20471,x20474,x20475,x20476),f495(x20473,x20472,x20474,x20475,x20476)) % 153.71/153.56 [2048]~E(x20481,x20482)+E(f495(x20483,x20484,x20481,x20485,x20486),f495(x20483,x20484,x20482,x20485,x20486)) % 153.71/153.56 [2049]~E(x20491,x20492)+E(f495(x20493,x20494,x20495,x20491,x20496),f495(x20493,x20494,x20495,x20492,x20496)) % 153.71/153.56 [2050]~E(x20501,x20502)+E(f495(x20503,x20504,x20505,x20506,x20501),f495(x20503,x20504,x20505,x20506,x20502)) % 153.71/153.56 [2051]~E(x20511,x20512)+E(f493(x20511,x20513,x20514,x20515,x20516),f493(x20512,x20513,x20514,x20515,x20516)) % 153.71/153.56 [2052]~E(x20521,x20522)+E(f493(x20523,x20521,x20524,x20525,x20526),f493(x20523,x20522,x20524,x20525,x20526)) % 153.71/153.56 [2053]~E(x20531,x20532)+E(f493(x20533,x20534,x20531,x20535,x20536),f493(x20533,x20534,x20532,x20535,x20536)) % 153.71/153.56 [2054]~E(x20541,x20542)+E(f493(x20543,x20544,x20545,x20541,x20546),f493(x20543,x20544,x20545,x20542,x20546)) % 153.71/153.56 [2055]~E(x20551,x20552)+E(f493(x20553,x20554,x20555,x20556,x20551),f493(x20553,x20554,x20555,x20556,x20552)) % 153.71/153.56 [2056]~E(x20561,x20562)+E(f423(x20561,x20563,x20564,x20565),f423(x20562,x20563,x20564,x20565)) % 153.71/153.56 [2057]~E(x20571,x20572)+E(f423(x20573,x20571,x20574,x20575),f423(x20573,x20572,x20574,x20575)) % 153.71/153.56 [2058]~E(x20581,x20582)+E(f423(x20583,x20584,x20581,x20585),f423(x20583,x20584,x20582,x20585)) % 153.71/153.56 [2059]~E(x20591,x20592)+E(f423(x20593,x20594,x20595,x20591),f423(x20593,x20594,x20595,x20592)) % 153.71/153.56 [2060]~E(x20601,x20602)+E(f710(x20601,x20603),f710(x20602,x20603)) % 153.71/153.56 [2061]~E(x20611,x20612)+E(f710(x20613,x20611),f710(x20613,x20612)) % 153.71/153.56 [2062]~E(x20621,x20622)+E(f503(x20621,x20623,x20624,x20625),f503(x20622,x20623,x20624,x20625)) % 153.71/153.56 [2063]~E(x20631,x20632)+E(f503(x20633,x20631,x20634,x20635),f503(x20633,x20632,x20634,x20635)) % 153.71/153.56 [2064]~E(x20641,x20642)+E(f503(x20643,x20644,x20641,x20645),f503(x20643,x20644,x20642,x20645)) % 153.71/153.56 [2065]~E(x20651,x20652)+E(f503(x20653,x20654,x20655,x20651),f503(x20653,x20654,x20655,x20652)) % 153.71/153.56 [2066]~E(x20661,x20662)+E(f624(x20661,x20663,x20664),f624(x20662,x20663,x20664)) % 153.71/153.56 [2067]~E(x20671,x20672)+E(f624(x20673,x20671,x20674),f624(x20673,x20672,x20674)) % 153.71/153.56 [2068]~E(x20681,x20682)+E(f624(x20683,x20684,x20681),f624(x20683,x20684,x20682)) % 153.71/153.56 [2069]~E(x20691,x20692)+E(f577(x20691,x20693,x20694,x20695),f577(x20692,x20693,x20694,x20695)) % 153.71/153.56 [2070]~E(x20701,x20702)+E(f577(x20703,x20701,x20704,x20705),f577(x20703,x20702,x20704,x20705)) % 153.71/153.56 [2071]~E(x20711,x20712)+E(f577(x20713,x20714,x20711,x20715),f577(x20713,x20714,x20712,x20715)) % 153.71/153.56 [2072]~E(x20721,x20722)+E(f577(x20723,x20724,x20725,x20721),f577(x20723,x20724,x20725,x20722)) % 153.71/153.56 [2073]~E(x20731,x20732)+E(f24(x20731,x20733),f24(x20732,x20733)) % 153.71/153.56 [2074]~E(x20741,x20742)+E(f24(x20743,x20741),f24(x20743,x20742)) % 153.71/153.56 [2075]~E(x20751,x20752)+E(f135(x20751,x20753,x20754,x20755,x20756),f135(x20752,x20753,x20754,x20755,x20756)) % 153.71/153.56 [2076]~E(x20761,x20762)+E(f135(x20763,x20761,x20764,x20765,x20766),f135(x20763,x20762,x20764,x20765,x20766)) % 153.71/153.56 [2077]~E(x20771,x20772)+E(f135(x20773,x20774,x20771,x20775,x20776),f135(x20773,x20774,x20772,x20775,x20776)) % 153.71/153.56 [2078]~E(x20781,x20782)+E(f135(x20783,x20784,x20785,x20781,x20786),f135(x20783,x20784,x20785,x20782,x20786)) % 153.71/153.56 [2079]~E(x20791,x20792)+E(f135(x20793,x20794,x20795,x20796,x20791),f135(x20793,x20794,x20795,x20796,x20792)) % 153.71/153.56 [2080]~E(x20801,x20802)+E(f499(x20801),f499(x20802)) % 153.71/153.56 [2081]~E(x20811,x20812)+E(f310(x20811,x20813,x20814),f310(x20812,x20813,x20814)) % 153.71/153.56 [2082]~E(x20821,x20822)+E(f310(x20823,x20821,x20824),f310(x20823,x20822,x20824)) % 153.71/153.56 [2083]~E(x20831,x20832)+E(f310(x20833,x20834,x20831),f310(x20833,x20834,x20832)) % 153.71/153.56 [2084]~E(x20841,x20842)+E(f603(x20841,x20843),f603(x20842,x20843)) % 153.71/153.56 [2085]~E(x20851,x20852)+E(f603(x20853,x20851),f603(x20853,x20852)) % 153.71/153.56 [2086]~E(x20861,x20862)+E(f478(x20861),f478(x20862)) % 153.71/153.56 [2087]~E(x20871,x20872)+E(f496(x20871,x20873,x20874,x20875,x20876),f496(x20872,x20873,x20874,x20875,x20876)) % 153.71/153.56 [2088]~E(x20881,x20882)+E(f496(x20883,x20881,x20884,x20885,x20886),f496(x20883,x20882,x20884,x20885,x20886)) % 153.71/153.56 [2089]~E(x20891,x20892)+E(f496(x20893,x20894,x20891,x20895,x20896),f496(x20893,x20894,x20892,x20895,x20896)) % 153.71/153.56 [2090]~E(x20901,x20902)+E(f496(x20903,x20904,x20905,x20901,x20906),f496(x20903,x20904,x20905,x20902,x20906)) % 153.71/153.56 [2091]~E(x20911,x20912)+E(f496(x20913,x20914,x20915,x20916,x20911),f496(x20913,x20914,x20915,x20916,x20912)) % 153.71/153.56 [2092]~E(x20921,x20922)+E(f454(x20921,x20923,x20924),f454(x20922,x20923,x20924)) % 153.71/153.56 [2093]~E(x20931,x20932)+E(f454(x20933,x20931,x20934),f454(x20933,x20932,x20934)) % 153.71/153.56 [2094]~E(x20941,x20942)+E(f454(x20943,x20944,x20941),f454(x20943,x20944,x20942)) % 153.71/153.56 [2095]~E(x20951,x20952)+E(f354(x20951,x20953,x20954,x20955,x20956),f354(x20952,x20953,x20954,x20955,x20956)) % 153.71/153.56 [2096]~E(x20961,x20962)+E(f354(x20963,x20961,x20964,x20965,x20966),f354(x20963,x20962,x20964,x20965,x20966)) % 153.71/153.56 [2097]~E(x20971,x20972)+E(f354(x20973,x20974,x20971,x20975,x20976),f354(x20973,x20974,x20972,x20975,x20976)) % 153.71/153.56 [2098]~E(x20981,x20982)+E(f354(x20983,x20984,x20985,x20981,x20986),f354(x20983,x20984,x20985,x20982,x20986)) % 153.71/153.56 [2099]~E(x20991,x20992)+E(f354(x20993,x20994,x20995,x20996,x20991),f354(x20993,x20994,x20995,x20996,x20992)) % 153.71/153.56 [2100]~E(x21001,x21002)+E(f436(x21001,x21003),f436(x21002,x21003)) % 153.71/153.56 [2101]~E(x21011,x21012)+E(f436(x21013,x21011),f436(x21013,x21012)) % 153.71/153.56 [2102]~E(x21021,x21022)+E(f431(x21021,x21023),f431(x21022,x21023)) % 153.71/153.56 [2103]~E(x21031,x21032)+E(f431(x21033,x21031),f431(x21033,x21032)) % 153.71/153.56 [2104]~E(x21041,x21042)+E(f359(x21041,x21043,x21044,x21045,x21046),f359(x21042,x21043,x21044,x21045,x21046)) % 153.71/153.56 [2105]~E(x21051,x21052)+E(f359(x21053,x21051,x21054,x21055,x21056),f359(x21053,x21052,x21054,x21055,x21056)) % 153.71/153.56 [2106]~E(x21061,x21062)+E(f359(x21063,x21064,x21061,x21065,x21066),f359(x21063,x21064,x21062,x21065,x21066)) % 153.71/153.56 [2107]~E(x21071,x21072)+E(f359(x21073,x21074,x21075,x21071,x21076),f359(x21073,x21074,x21075,x21072,x21076)) % 153.71/153.56 [2108]~E(x21081,x21082)+E(f359(x21083,x21084,x21085,x21086,x21081),f359(x21083,x21084,x21085,x21086,x21082)) % 153.71/153.56 [2109]~E(x21091,x21092)+E(f534(x21091,x21093,x21094),f534(x21092,x21093,x21094)) % 153.71/153.56 [2110]~E(x21101,x21102)+E(f534(x21103,x21101,x21104),f534(x21103,x21102,x21104)) % 153.71/153.56 [2111]~E(x21111,x21112)+E(f534(x21113,x21114,x21111),f534(x21113,x21114,x21112)) % 153.71/153.56 [2112]~E(x21121,x21122)+E(f699(x21121,x21123,x21124,x21125),f699(x21122,x21123,x21124,x21125)) % 153.71/153.56 [2113]~E(x21131,x21132)+E(f699(x21133,x21131,x21134,x21135),f699(x21133,x21132,x21134,x21135)) % 153.71/153.56 [2114]~E(x21141,x21142)+E(f699(x21143,x21144,x21141,x21145),f699(x21143,x21144,x21142,x21145)) % 153.71/153.56 [2115]~E(x21151,x21152)+E(f699(x21153,x21154,x21155,x21151),f699(x21153,x21154,x21155,x21152)) % 153.71/153.56 [2116]~E(x21161,x21162)+E(f195(x21161),f195(x21162)) % 153.71/153.56 [2117]~E(x21171,x21172)+E(f721(x21171,x21173),f721(x21172,x21173)) % 153.71/153.56 [2118]~E(x21181,x21182)+E(f721(x21183,x21181),f721(x21183,x21182)) % 153.71/153.56 [2119]~E(x21191,x21192)+E(f685(x21191,x21193,x21194,x21195,x21196,x21197),f685(x21192,x21193,x21194,x21195,x21196,x21197)) % 153.71/153.56 [2120]~E(x21201,x21202)+E(f685(x21203,x21201,x21204,x21205,x21206,x21207),f685(x21203,x21202,x21204,x21205,x21206,x21207)) % 153.71/153.56 [2121]~E(x21211,x21212)+E(f685(x21213,x21214,x21211,x21215,x21216,x21217),f685(x21213,x21214,x21212,x21215,x21216,x21217)) % 153.71/153.56 [2122]~E(x21221,x21222)+E(f685(x21223,x21224,x21225,x21221,x21226,x21227),f685(x21223,x21224,x21225,x21222,x21226,x21227)) % 153.71/153.56 [2123]~E(x21231,x21232)+E(f685(x21233,x21234,x21235,x21236,x21231,x21237),f685(x21233,x21234,x21235,x21236,x21232,x21237)) % 153.71/153.56 [2124]~E(x21241,x21242)+E(f685(x21243,x21244,x21245,x21246,x21247,x21241),f685(x21243,x21244,x21245,x21246,x21247,x21242)) % 153.71/153.56 [2125]~E(x21251,x21252)+E(f572(x21251,x21253,x21254,x21255),f572(x21252,x21253,x21254,x21255)) % 153.71/153.56 [2126]~E(x21261,x21262)+E(f572(x21263,x21261,x21264,x21265),f572(x21263,x21262,x21264,x21265)) % 153.71/153.56 [2127]~E(x21271,x21272)+E(f572(x21273,x21274,x21271,x21275),f572(x21273,x21274,x21272,x21275)) % 153.71/153.56 [2128]~E(x21281,x21282)+E(f572(x21283,x21284,x21285,x21281),f572(x21283,x21284,x21285,x21282)) % 153.71/153.56 [2129]~E(x21291,x21292)+E(f802(x21291,x21293,x21294),f802(x21292,x21293,x21294)) % 153.71/153.56 [2130]~E(x21301,x21302)+E(f802(x21303,x21301,x21304),f802(x21303,x21302,x21304)) % 153.71/153.56 [2131]~E(x21311,x21312)+E(f802(x21313,x21314,x21311),f802(x21313,x21314,x21312)) % 153.71/153.56 [2132]~E(x21321,x21322)+E(f795(x21321,x21323,x21324),f795(x21322,x21323,x21324)) % 153.71/153.56 [2133]~E(x21331,x21332)+E(f795(x21333,x21331,x21334),f795(x21333,x21332,x21334)) % 153.71/153.56 [2134]~E(x21341,x21342)+E(f795(x21343,x21344,x21341),f795(x21343,x21344,x21342)) % 153.71/153.56 [2135]~E(x21351,x21352)+E(f616(x21351,x21353,x21354,x21355),f616(x21352,x21353,x21354,x21355)) % 153.71/153.56 [2136]~E(x21361,x21362)+E(f616(x21363,x21361,x21364,x21365),f616(x21363,x21362,x21364,x21365)) % 153.71/153.56 [2137]~E(x21371,x21372)+E(f616(x21373,x21374,x21371,x21375),f616(x21373,x21374,x21372,x21375)) % 153.71/153.56 [2138]~E(x21381,x21382)+E(f616(x21383,x21384,x21385,x21381),f616(x21383,x21384,x21385,x21382)) % 153.71/153.56 [2139]~E(x21391,x21392)+E(f373(x21391,x21393,x21394,x21395,x21396),f373(x21392,x21393,x21394,x21395,x21396)) % 153.71/153.56 [2140]~E(x21401,x21402)+E(f373(x21403,x21401,x21404,x21405,x21406),f373(x21403,x21402,x21404,x21405,x21406)) % 153.71/153.56 [2141]~E(x21411,x21412)+E(f373(x21413,x21414,x21411,x21415,x21416),f373(x21413,x21414,x21412,x21415,x21416)) % 153.71/153.56 [2142]~E(x21421,x21422)+E(f373(x21423,x21424,x21425,x21421,x21426),f373(x21423,x21424,x21425,x21422,x21426)) % 153.71/153.56 [2143]~E(x21431,x21432)+E(f373(x21433,x21434,x21435,x21436,x21431),f373(x21433,x21434,x21435,x21436,x21432)) % 153.71/153.56 [2144]~E(x21441,x21442)+E(f429(x21441,x21443,x21444,x21445,x21446),f429(x21442,x21443,x21444,x21445,x21446)) % 153.71/153.56 [2145]~E(x21451,x21452)+E(f429(x21453,x21451,x21454,x21455,x21456),f429(x21453,x21452,x21454,x21455,x21456)) % 153.71/153.56 [2146]~E(x21461,x21462)+E(f429(x21463,x21464,x21461,x21465,x21466),f429(x21463,x21464,x21462,x21465,x21466)) % 153.71/153.56 [2147]~E(x21471,x21472)+E(f429(x21473,x21474,x21475,x21471,x21476),f429(x21473,x21474,x21475,x21472,x21476)) % 153.71/153.56 [2148]~E(x21481,x21482)+E(f429(x21483,x21484,x21485,x21486,x21481),f429(x21483,x21484,x21485,x21486,x21482)) % 153.71/153.56 [2149]~E(x21491,x21492)+E(f541(x21491,x21493,x21494),f541(x21492,x21493,x21494)) % 153.71/153.56 [2150]~E(x21501,x21502)+E(f541(x21503,x21501,x21504),f541(x21503,x21502,x21504)) % 153.71/153.56 [2151]~E(x21511,x21512)+E(f541(x21513,x21514,x21511),f541(x21513,x21514,x21512)) % 153.71/153.56 [2152]~E(x21521,x21522)+E(f472(x21521,x21523,x21524,x21525),f472(x21522,x21523,x21524,x21525)) % 153.71/153.56 [2153]~E(x21531,x21532)+E(f472(x21533,x21531,x21534,x21535),f472(x21533,x21532,x21534,x21535)) % 153.71/153.56 [2154]~E(x21541,x21542)+E(f472(x21543,x21544,x21541,x21545),f472(x21543,x21544,x21542,x21545)) % 153.71/153.56 [2155]~E(x21551,x21552)+E(f472(x21553,x21554,x21555,x21551),f472(x21553,x21554,x21555,x21552)) % 153.71/153.56 [2156]~E(x21561,x21562)+E(f615(x21561,x21563,x21564,x21565),f615(x21562,x21563,x21564,x21565)) % 153.71/153.56 [2157]~E(x21571,x21572)+E(f615(x21573,x21571,x21574,x21575),f615(x21573,x21572,x21574,x21575)) % 153.71/153.56 [2158]~E(x21581,x21582)+E(f615(x21583,x21584,x21581,x21585),f615(x21583,x21584,x21582,x21585)) % 153.71/153.56 [2159]~E(x21591,x21592)+E(f615(x21593,x21594,x21595,x21591),f615(x21593,x21594,x21595,x21592)) % 153.71/153.56 [2160]~E(x21601,x21602)+E(f540(x21601,x21603,x21604,x21605,x21606,x21607,x21608,x21609),f540(x21602,x21603,x21604,x21605,x21606,x21607,x21608,x21609)) % 153.71/153.56 [2161]~E(x21611,x21612)+E(f540(x21613,x21611,x21614,x21615,x21616,x21617,x21618,x21619),f540(x21613,x21612,x21614,x21615,x21616,x21617,x21618,x21619)) % 153.71/153.56 [2162]~E(x21621,x21622)+E(f540(x21623,x21624,x21621,x21625,x21626,x21627,x21628,x21629),f540(x21623,x21624,x21622,x21625,x21626,x21627,x21628,x21629)) % 153.71/153.56 [2163]~E(x21631,x21632)+E(f540(x21633,x21634,x21635,x21631,x21636,x21637,x21638,x21639),f540(x21633,x21634,x21635,x21632,x21636,x21637,x21638,x21639)) % 153.71/153.56 [2164]~E(x21641,x21642)+E(f540(x21643,x21644,x21645,x21646,x21641,x21647,x21648,x21649),f540(x21643,x21644,x21645,x21646,x21642,x21647,x21648,x21649)) % 153.71/153.56 [2165]~E(x21651,x21652)+E(f540(x21653,x21654,x21655,x21656,x21657,x21651,x21658,x21659),f540(x21653,x21654,x21655,x21656,x21657,x21652,x21658,x21659)) % 153.71/153.56 [2166]~E(x21661,x21662)+E(f540(x21663,x21664,x21665,x21666,x21667,x21668,x21661,x21669),f540(x21663,x21664,x21665,x21666,x21667,x21668,x21662,x21669)) % 153.71/153.56 [2167]~E(x21671,x21672)+E(f540(x21673,x21674,x21675,x21676,x21677,x21678,x21679,x21671),f540(x21673,x21674,x21675,x21676,x21677,x21678,x21679,x21672)) % 153.71/153.56 [2168]~E(x21681,x21682)+E(f197(x21681,x21683,x21684,x21685),f197(x21682,x21683,x21684,x21685)) % 153.71/153.56 [2169]~E(x21691,x21692)+E(f197(x21693,x21691,x21694,x21695),f197(x21693,x21692,x21694,x21695)) % 153.71/153.56 [2170]~E(x21701,x21702)+E(f197(x21703,x21704,x21701,x21705),f197(x21703,x21704,x21702,x21705)) % 153.71/153.56 [2171]~E(x21711,x21712)+E(f197(x21713,x21714,x21715,x21711),f197(x21713,x21714,x21715,x21712)) % 153.71/153.56 [2172]~E(x21721,x21722)+E(f803(x21721,x21723,x21724,x21725),f803(x21722,x21723,x21724,x21725)) % 153.71/153.56 [2173]~E(x21731,x21732)+E(f803(x21733,x21731,x21734,x21735),f803(x21733,x21732,x21734,x21735)) % 153.71/153.56 [2174]~E(x21741,x21742)+E(f803(x21743,x21744,x21741,x21745),f803(x21743,x21744,x21742,x21745)) % 153.71/153.56 [2175]~E(x21751,x21752)+E(f803(x21753,x21754,x21755,x21751),f803(x21753,x21754,x21755,x21752)) % 153.71/153.56 [2176]~E(x21761,x21762)+E(f561(x21761,x21763),f561(x21762,x21763)) % 153.71/153.56 [2177]~E(x21771,x21772)+E(f561(x21773,x21771),f561(x21773,x21772)) % 153.71/153.56 [2178]~E(x21781,x21782)+E(f421(x21781,x21783),f421(x21782,x21783)) % 153.71/153.56 [2179]~E(x21791,x21792)+E(f421(x21793,x21791),f421(x21793,x21792)) % 153.71/153.56 [2180]~E(x21801,x21802)+E(f389(x21801,x21803),f389(x21802,x21803)) % 153.71/153.56 [2181]~E(x21811,x21812)+E(f389(x21813,x21811),f389(x21813,x21812)) % 153.71/153.56 [2182]~E(x21821,x21822)+E(f528(x21821,x21823,x21824,x21825),f528(x21822,x21823,x21824,x21825)) % 153.71/153.56 [2183]~E(x21831,x21832)+E(f528(x21833,x21831,x21834,x21835),f528(x21833,x21832,x21834,x21835)) % 153.71/153.56 [2184]~E(x21841,x21842)+E(f528(x21843,x21844,x21841,x21845),f528(x21843,x21844,x21842,x21845)) % 153.71/153.56 [2185]~E(x21851,x21852)+E(f528(x21853,x21854,x21855,x21851),f528(x21853,x21854,x21855,x21852)) % 153.71/153.56 [2186]~E(x21861,x21862)+E(f638(x21861),f638(x21862)) % 153.71/153.56 [2187]~E(x21871,x21872)+E(f827(x21871,x21873),f827(x21872,x21873)) % 153.71/153.56 [2188]~E(x21881,x21882)+E(f827(x21883,x21881),f827(x21883,x21882)) % 153.71/153.56 [2189]~E(x21891,x21892)+E(f502(x21891,x21893,x21894,x21895),f502(x21892,x21893,x21894,x21895)) % 153.71/153.56 [2190]~E(x21901,x21902)+E(f502(x21903,x21901,x21904,x21905),f502(x21903,x21902,x21904,x21905)) % 153.71/153.56 [2191]~E(x21911,x21912)+E(f502(x21913,x21914,x21911,x21915),f502(x21913,x21914,x21912,x21915)) % 153.71/153.56 [2192]~E(x21921,x21922)+E(f502(x21923,x21924,x21925,x21921),f502(x21923,x21924,x21925,x21922)) % 153.71/153.56 [2193]~E(x21931,x21932)+E(f826(x21931,x21933),f826(x21932,x21933)) % 153.71/153.56 [2194]~E(x21941,x21942)+E(f826(x21943,x21941),f826(x21943,x21942)) % 153.71/153.56 [2195]~E(x21951,x21952)+E(f355(x21951,x21953,x21954,x21955,x21956),f355(x21952,x21953,x21954,x21955,x21956)) % 153.71/153.56 [2196]~E(x21961,x21962)+E(f355(x21963,x21961,x21964,x21965,x21966),f355(x21963,x21962,x21964,x21965,x21966)) % 153.71/153.56 [2197]~E(x21971,x21972)+E(f355(x21973,x21974,x21971,x21975,x21976),f355(x21973,x21974,x21972,x21975,x21976)) % 153.71/153.56 [2198]~E(x21981,x21982)+E(f355(x21983,x21984,x21985,x21981,x21986),f355(x21983,x21984,x21985,x21982,x21986)) % 153.71/153.56 [2199]~E(x21991,x21992)+E(f355(x21993,x21994,x21995,x21996,x21991),f355(x21993,x21994,x21995,x21996,x21992)) % 153.71/153.56 [2200]~E(x22001,x22002)+E(f673(x22001,x22003,x22004,x22005),f673(x22002,x22003,x22004,x22005)) % 153.71/153.56 [2201]~E(x22011,x22012)+E(f673(x22013,x22011,x22014,x22015),f673(x22013,x22012,x22014,x22015)) % 153.71/153.56 [2202]~E(x22021,x22022)+E(f673(x22023,x22024,x22021,x22025),f673(x22023,x22024,x22022,x22025)) % 153.71/153.56 [2203]~E(x22031,x22032)+E(f673(x22033,x22034,x22035,x22031),f673(x22033,x22034,x22035,x22032)) % 153.71/153.56 [2204]~E(x22041,x22042)+E(f527(x22041),f527(x22042)) % 153.71/153.56 [2205]~E(x22051,x22052)+E(f375(x22051,x22053,x22054,x22055,x22056),f375(x22052,x22053,x22054,x22055,x22056)) % 153.71/153.56 [2206]~E(x22061,x22062)+E(f375(x22063,x22061,x22064,x22065,x22066),f375(x22063,x22062,x22064,x22065,x22066)) % 153.71/153.56 [2207]~E(x22071,x22072)+E(f375(x22073,x22074,x22071,x22075,x22076),f375(x22073,x22074,x22072,x22075,x22076)) % 153.71/153.56 [2208]~E(x22081,x22082)+E(f375(x22083,x22084,x22085,x22081,x22086),f375(x22083,x22084,x22085,x22082,x22086)) % 153.71/153.56 [2209]~E(x22091,x22092)+E(f375(x22093,x22094,x22095,x22096,x22091),f375(x22093,x22094,x22095,x22096,x22092)) % 153.71/153.56 [2210]~E(x22101,x22102)+E(f532(x22101,x22103),f532(x22102,x22103)) % 153.71/153.56 [2211]~E(x22111,x22112)+E(f532(x22113,x22111),f532(x22113,x22112)) % 153.71/153.56 [2212]~E(x22121,x22122)+E(f19(x22121,x22123,x22124,x22125),f19(x22122,x22123,x22124,x22125)) % 153.71/153.56 [2213]~E(x22131,x22132)+E(f19(x22133,x22131,x22134,x22135),f19(x22133,x22132,x22134,x22135)) % 153.71/153.56 [2214]~E(x22141,x22142)+E(f19(x22143,x22144,x22141,x22145),f19(x22143,x22144,x22142,x22145)) % 153.71/153.56 [2215]~E(x22151,x22152)+E(f19(x22153,x22154,x22155,x22151),f19(x22153,x22154,x22155,x22152)) % 153.71/153.56 [2216]~E(x22161,x22162)+E(f439(x22161,x22163,x22164,x22165),f439(x22162,x22163,x22164,x22165)) % 153.71/153.56 [2217]~E(x22171,x22172)+E(f439(x22173,x22171,x22174,x22175),f439(x22173,x22172,x22174,x22175)) % 153.71/153.56 [2218]~E(x22181,x22182)+E(f439(x22183,x22184,x22181,x22185),f439(x22183,x22184,x22182,x22185)) % 153.71/153.56 [2219]~E(x22191,x22192)+E(f439(x22193,x22194,x22195,x22191),f439(x22193,x22194,x22195,x22192)) % 153.71/153.56 [2220]~E(x22201,x22202)+E(f369(x22201,x22203,x22204,x22205),f369(x22202,x22203,x22204,x22205)) % 153.71/153.56 [2221]~E(x22211,x22212)+E(f369(x22213,x22211,x22214,x22215),f369(x22213,x22212,x22214,x22215)) % 153.71/153.56 [2222]~E(x22221,x22222)+E(f369(x22223,x22224,x22221,x22225),f369(x22223,x22224,x22222,x22225)) % 153.71/153.56 [2223]~E(x22231,x22232)+E(f369(x22233,x22234,x22235,x22231),f369(x22233,x22234,x22235,x22232)) % 153.71/153.56 [2224]~E(x22241,x22242)+E(f387(x22241,x22243,x22244,x22245),f387(x22242,x22243,x22244,x22245)) % 153.71/153.56 [2225]~E(x22251,x22252)+E(f387(x22253,x22251,x22254,x22255),f387(x22253,x22252,x22254,x22255)) % 153.71/153.56 [2226]~E(x22261,x22262)+E(f387(x22263,x22264,x22261,x22265),f387(x22263,x22264,x22262,x22265)) % 153.71/153.56 [2227]~E(x22271,x22272)+E(f387(x22273,x22274,x22275,x22271),f387(x22273,x22274,x22275,x22272)) % 153.71/153.56 [2228]~E(x22281,x22282)+E(f307(x22281,x22283,x22284),f307(x22282,x22283,x22284)) % 153.71/153.56 [2229]~E(x22291,x22292)+E(f307(x22293,x22291,x22294),f307(x22293,x22292,x22294)) % 153.71/153.56 [2230]~E(x22301,x22302)+E(f307(x22303,x22304,x22301),f307(x22303,x22304,x22302)) % 153.71/153.56 [2231]~E(x22311,x22312)+E(f553(x22311,x22313),f553(x22312,x22313)) % 153.71/153.56 [2232]~E(x22321,x22322)+E(f553(x22323,x22321),f553(x22323,x22322)) % 153.71/153.56 [2233]~E(x22331,x22332)+E(f828(x22331,x22333),f828(x22332,x22333)) % 153.71/153.56 [2234]~E(x22341,x22342)+E(f828(x22343,x22341),f828(x22343,x22342)) % 153.71/153.56 [2235]~E(x22351,x22352)+E(f469(x22351,x22353,x22354,x22355,x22356),f469(x22352,x22353,x22354,x22355,x22356)) % 153.71/153.56 [2236]~E(x22361,x22362)+E(f469(x22363,x22361,x22364,x22365,x22366),f469(x22363,x22362,x22364,x22365,x22366)) % 153.71/153.56 [2237]~E(x22371,x22372)+E(f469(x22373,x22374,x22371,x22375,x22376),f469(x22373,x22374,x22372,x22375,x22376)) % 153.71/153.56 [2238]~E(x22381,x22382)+E(f469(x22383,x22384,x22385,x22381,x22386),f469(x22383,x22384,x22385,x22382,x22386)) % 153.71/153.56 [2239]~E(x22391,x22392)+E(f469(x22393,x22394,x22395,x22396,x22391),f469(x22393,x22394,x22395,x22396,x22392)) % 153.71/153.56 [2240]~E(x22401,x22402)+E(f363(x22401,x22403,x22404,x22405,x22406),f363(x22402,x22403,x22404,x22405,x22406)) % 153.71/153.56 [2241]~E(x22411,x22412)+E(f363(x22413,x22411,x22414,x22415,x22416),f363(x22413,x22412,x22414,x22415,x22416)) % 153.71/153.56 [2242]~E(x22421,x22422)+E(f363(x22423,x22424,x22421,x22425,x22426),f363(x22423,x22424,x22422,x22425,x22426)) % 153.71/153.56 [2243]~E(x22431,x22432)+E(f363(x22433,x22434,x22435,x22431,x22436),f363(x22433,x22434,x22435,x22432,x22436)) % 153.71/153.56 [2244]~E(x22441,x22442)+E(f363(x22443,x22444,x22445,x22446,x22441),f363(x22443,x22444,x22445,x22446,x22442)) % 153.71/153.56 [2245]~E(x22451,x22452)+E(f190(x22451),f190(x22452)) % 153.71/153.56 [2246]~E(x22461,x22462)+E(f598(x22461),f598(x22462)) % 153.71/153.56 [2247]~E(x22471,x22472)+E(f706(x22471,x22473,x22474),f706(x22472,x22473,x22474)) % 153.71/153.56 [2248]~E(x22481,x22482)+E(f706(x22483,x22481,x22484),f706(x22483,x22482,x22484)) % 153.71/153.56 [2249]~E(x22491,x22492)+E(f706(x22493,x22494,x22491),f706(x22493,x22494,x22492)) % 153.71/153.56 [2250]~E(x22501,x22502)+E(f425(x22501,x22503,x22504),f425(x22502,x22503,x22504)) % 153.71/153.56 [2251]~E(x22511,x22512)+E(f425(x22513,x22511,x22514),f425(x22513,x22512,x22514)) % 153.71/153.56 [2252]~E(x22521,x22522)+E(f425(x22523,x22524,x22521),f425(x22523,x22524,x22522)) % 153.71/153.56 [2253]~E(x22531,x22532)+E(f411(x22531,x22533,x22534,x22535),f411(x22532,x22533,x22534,x22535)) % 153.71/153.56 [2254]~E(x22541,x22542)+E(f411(x22543,x22541,x22544,x22545),f411(x22543,x22542,x22544,x22545)) % 153.71/153.56 [2255]~E(x22551,x22552)+E(f411(x22553,x22554,x22551,x22555),f411(x22553,x22554,x22552,x22555)) % 153.71/153.56 [2256]~E(x22561,x22562)+E(f411(x22563,x22564,x22565,x22561),f411(x22563,x22564,x22565,x22562)) % 153.71/153.56 [2257]~E(x22571,x22572)+E(f792(x22571,x22573,x22574,x22575),f792(x22572,x22573,x22574,x22575)) % 153.71/153.56 [2258]~E(x22581,x22582)+E(f792(x22583,x22581,x22584,x22585),f792(x22583,x22582,x22584,x22585)) % 153.71/153.56 [2259]~E(x22591,x22592)+E(f792(x22593,x22594,x22591,x22595),f792(x22593,x22594,x22592,x22595)) % 153.71/153.56 [2260]~E(x22601,x22602)+E(f792(x22603,x22604,x22605,x22601),f792(x22603,x22604,x22605,x22602)) % 153.71/153.56 [2261]~E(x22611,x22612)+E(f816(x22611,x22613,x22614,x22615,x22616,x22617,x22618),f816(x22612,x22613,x22614,x22615,x22616,x22617,x22618)) % 153.71/153.56 [2262]~E(x22621,x22622)+E(f816(x22623,x22621,x22624,x22625,x22626,x22627,x22628),f816(x22623,x22622,x22624,x22625,x22626,x22627,x22628)) % 153.71/153.56 [2263]~E(x22631,x22632)+E(f816(x22633,x22634,x22631,x22635,x22636,x22637,x22638),f816(x22633,x22634,x22632,x22635,x22636,x22637,x22638)) % 153.71/153.56 [2264]~E(x22641,x22642)+E(f816(x22643,x22644,x22645,x22641,x22646,x22647,x22648),f816(x22643,x22644,x22645,x22642,x22646,x22647,x22648)) % 153.71/153.56 [2265]~E(x22651,x22652)+E(f816(x22653,x22654,x22655,x22656,x22651,x22657,x22658),f816(x22653,x22654,x22655,x22656,x22652,x22657,x22658)) % 153.71/153.56 [2266]~E(x22661,x22662)+E(f816(x22663,x22664,x22665,x22666,x22667,x22661,x22668),f816(x22663,x22664,x22665,x22666,x22667,x22662,x22668)) % 153.71/153.56 [2267]~E(x22671,x22672)+E(f816(x22673,x22674,x22675,x22676,x22677,x22678,x22671),f816(x22673,x22674,x22675,x22676,x22677,x22678,x22672)) % 153.71/153.56 [2268]~E(x22681,x22682)+E(f491(x22681,x22683,x22684,x22685),f491(x22682,x22683,x22684,x22685)) % 153.71/153.56 [2269]~E(x22691,x22692)+E(f491(x22693,x22691,x22694,x22695),f491(x22693,x22692,x22694,x22695)) % 153.71/153.56 [2270]~E(x22701,x22702)+E(f491(x22703,x22704,x22701,x22705),f491(x22703,x22704,x22702,x22705)) % 153.71/153.56 [2271]~E(x22711,x22712)+E(f491(x22713,x22714,x22715,x22711),f491(x22713,x22714,x22715,x22712)) % 153.71/153.56 [2272]~E(x22721,x22722)+E(f501(x22721,x22723),f501(x22722,x22723)) % 153.71/153.56 [2273]~E(x22731,x22732)+E(f501(x22733,x22731),f501(x22733,x22732)) % 153.71/153.56 [2274]~E(x22741,x22742)+E(f120(x22741),f120(x22742)) % 153.71/153.56 [2275]~E(x22751,x22752)+E(f361(x22751,x22753,x22754,x22755,x22756),f361(x22752,x22753,x22754,x22755,x22756)) % 153.71/153.56 [2276]~E(x22761,x22762)+E(f361(x22763,x22761,x22764,x22765,x22766),f361(x22763,x22762,x22764,x22765,x22766)) % 153.71/153.56 [2277]~E(x22771,x22772)+E(f361(x22773,x22774,x22771,x22775,x22776),f361(x22773,x22774,x22772,x22775,x22776)) % 153.71/153.56 [2278]~E(x22781,x22782)+E(f361(x22783,x22784,x22785,x22781,x22786),f361(x22783,x22784,x22785,x22782,x22786)) % 153.71/153.56 [2279]~E(x22791,x22792)+E(f361(x22793,x22794,x22795,x22796,x22791),f361(x22793,x22794,x22795,x22796,x22792)) % 153.71/153.56 [2280]~E(x22801,x22802)+E(f374(x22801,x22803,x22804,x22805,x22806),f374(x22802,x22803,x22804,x22805,x22806)) % 153.71/153.56 [2281]~E(x22811,x22812)+E(f374(x22813,x22811,x22814,x22815,x22816),f374(x22813,x22812,x22814,x22815,x22816)) % 153.71/153.56 [2282]~E(x22821,x22822)+E(f374(x22823,x22824,x22821,x22825,x22826),f374(x22823,x22824,x22822,x22825,x22826)) % 153.71/153.56 [2283]~E(x22831,x22832)+E(f374(x22833,x22834,x22835,x22831,x22836),f374(x22833,x22834,x22835,x22832,x22836)) % 153.71/153.56 [2284]~E(x22841,x22842)+E(f374(x22843,x22844,x22845,x22846,x22841),f374(x22843,x22844,x22845,x22846,x22842)) % 153.71/153.56 [2285]~E(x22851,x22852)+E(f208(x22851,x22853),f208(x22852,x22853)) % 153.71/153.56 [2286]~E(x22861,x22862)+E(f208(x22863,x22861),f208(x22863,x22862)) % 153.71/153.56 [2287]~E(x22871,x22872)+E(f349(x22871,x22873),f349(x22872,x22873)) % 153.71/153.56 [2288]~E(x22881,x22882)+E(f349(x22883,x22881),f349(x22883,x22882)) % 153.71/153.56 [2289]~E(x22891,x22892)+E(f543(x22891,x22893,x22894,x22895),f543(x22892,x22893,x22894,x22895)) % 153.71/153.56 [2290]~E(x22901,x22902)+E(f543(x22903,x22901,x22904,x22905),f543(x22903,x22902,x22904,x22905)) % 153.71/153.56 [2291]~E(x22911,x22912)+E(f543(x22913,x22914,x22911,x22915),f543(x22913,x22914,x22912,x22915)) % 153.71/153.56 [2292]~E(x22921,x22922)+E(f543(x22923,x22924,x22925,x22921),f543(x22923,x22924,x22925,x22922)) % 153.71/153.56 [2293]~E(x22931,x22932)+E(f686(x22931,x22933,x22934,x22935,x22936,x22937),f686(x22932,x22933,x22934,x22935,x22936,x22937)) % 153.71/153.56 [2294]~E(x22941,x22942)+E(f686(x22943,x22941,x22944,x22945,x22946,x22947),f686(x22943,x22942,x22944,x22945,x22946,x22947)) % 153.71/153.56 [2295]~E(x22951,x22952)+E(f686(x22953,x22954,x22951,x22955,x22956,x22957),f686(x22953,x22954,x22952,x22955,x22956,x22957)) % 153.71/153.56 [2296]~E(x22961,x22962)+E(f686(x22963,x22964,x22965,x22961,x22966,x22967),f686(x22963,x22964,x22965,x22962,x22966,x22967)) % 153.71/153.56 [2297]~E(x22971,x22972)+E(f686(x22973,x22974,x22975,x22976,x22971,x22977),f686(x22973,x22974,x22975,x22976,x22972,x22977)) % 153.71/153.56 [2298]~E(x22981,x22982)+E(f686(x22983,x22984,x22985,x22986,x22987,x22981),f686(x22983,x22984,x22985,x22986,x22987,x22982)) % 153.71/153.56 [2299]~E(x22991,x22992)+E(f701(x22991,x22993,x22994,x22995,x22996),f701(x22992,x22993,x22994,x22995,x22996)) % 153.71/153.56 [2300]~E(x23001,x23002)+E(f701(x23003,x23001,x23004,x23005,x23006),f701(x23003,x23002,x23004,x23005,x23006)) % 153.71/153.56 [2301]~E(x23011,x23012)+E(f701(x23013,x23014,x23011,x23015,x23016),f701(x23013,x23014,x23012,x23015,x23016)) % 153.71/153.56 [2302]~E(x23021,x23022)+E(f701(x23023,x23024,x23025,x23021,x23026),f701(x23023,x23024,x23025,x23022,x23026)) % 153.71/153.56 [2303]~E(x23031,x23032)+E(f701(x23033,x23034,x23035,x23036,x23031),f701(x23033,x23034,x23035,x23036,x23032)) % 153.71/153.56 [2304]~E(x23041,x23042)+E(f727(x23041,x23043,x23044,x23045),f727(x23042,x23043,x23044,x23045)) % 153.71/153.56 [2305]~E(x23051,x23052)+E(f727(x23053,x23051,x23054,x23055),f727(x23053,x23052,x23054,x23055)) % 153.71/153.56 [2306]~E(x23061,x23062)+E(f727(x23063,x23064,x23061,x23065),f727(x23063,x23064,x23062,x23065)) % 153.71/153.56 [2307]~E(x23071,x23072)+E(f727(x23073,x23074,x23075,x23071),f727(x23073,x23074,x23075,x23072)) % 153.71/153.56 [2308]~E(x23081,x23082)+E(f742(x23081,x23083),f742(x23082,x23083)) % 153.71/153.56 [2309]~E(x23091,x23092)+E(f742(x23093,x23091),f742(x23093,x23092)) % 153.71/153.56 [2310]~E(x23101,x23102)+E(f800(x23101,x23103,x23104),f800(x23102,x23103,x23104)) % 153.71/153.56 [2311]~E(x23111,x23112)+E(f800(x23113,x23111,x23114),f800(x23113,x23112,x23114)) % 153.71/153.56 [2312]~E(x23121,x23122)+E(f800(x23123,x23124,x23121),f800(x23123,x23124,x23122)) % 153.71/153.56 [2313]~E(x23131,x23132)+E(f511(x23131,x23133,x23134,x23135),f511(x23132,x23133,x23134,x23135)) % 153.71/153.56 [2314]~E(x23141,x23142)+E(f511(x23143,x23141,x23144,x23145),f511(x23143,x23142,x23144,x23145)) % 153.71/153.56 [2315]~E(x23151,x23152)+E(f511(x23153,x23154,x23151,x23155),f511(x23153,x23154,x23152,x23155)) % 153.71/153.56 [2316]~E(x23161,x23162)+E(f511(x23163,x23164,x23165,x23161),f511(x23163,x23164,x23165,x23162)) % 153.71/153.56 [2317]~E(x23171,x23172)+E(f569(x23171,x23173,x23174),f569(x23172,x23173,x23174)) % 153.71/153.56 [2318]~E(x23181,x23182)+E(f569(x23183,x23181,x23184),f569(x23183,x23182,x23184)) % 153.71/153.56 [2319]~E(x23191,x23192)+E(f569(x23193,x23194,x23191),f569(x23193,x23194,x23192)) % 153.71/153.56 [2320]~E(x23201,x23202)+E(f668(x23201,x23203,x23204),f668(x23202,x23203,x23204)) % 153.71/153.56 [2321]~E(x23211,x23212)+E(f668(x23213,x23211,x23214),f668(x23213,x23212,x23214)) % 153.71/153.56 [2322]~E(x23221,x23222)+E(f668(x23223,x23224,x23221),f668(x23223,x23224,x23222)) % 153.71/153.56 [2323]~E(x23231,x23232)+E(f334(x23231),f334(x23232)) % 153.71/153.56 [2324]~E(x23241,x23242)+E(f659(x23241,x23243,x23244,x23245,x23246),f659(x23242,x23243,x23244,x23245,x23246)) % 153.71/153.56 [2325]~E(x23251,x23252)+E(f659(x23253,x23251,x23254,x23255,x23256),f659(x23253,x23252,x23254,x23255,x23256)) % 153.71/153.56 [2326]~E(x23261,x23262)+E(f659(x23263,x23264,x23261,x23265,x23266),f659(x23263,x23264,x23262,x23265,x23266)) % 153.71/153.56 [2327]~E(x23271,x23272)+E(f659(x23273,x23274,x23275,x23271,x23276),f659(x23273,x23274,x23275,x23272,x23276)) % 153.71/153.56 [2328]~E(x23281,x23282)+E(f659(x23283,x23284,x23285,x23286,x23281),f659(x23283,x23284,x23285,x23286,x23282)) % 153.71/153.56 [2329]~E(x23291,x23292)+E(f451(x23291,x23293,x23294),f451(x23292,x23293,x23294)) % 153.71/153.56 [2330]~E(x23301,x23302)+E(f451(x23303,x23301,x23304),f451(x23303,x23302,x23304)) % 153.71/153.56 [2331]~E(x23311,x23312)+E(f451(x23313,x23314,x23311),f451(x23313,x23314,x23312)) % 153.71/153.56 [2332]~E(x23321,x23322)+E(f725(x23321,x23323,x23324,x23325),f725(x23322,x23323,x23324,x23325)) % 153.71/153.56 [2333]~E(x23331,x23332)+E(f725(x23333,x23331,x23334,x23335),f725(x23333,x23332,x23334,x23335)) % 153.71/153.56 [2334]~E(x23341,x23342)+E(f725(x23343,x23344,x23341,x23345),f725(x23343,x23344,x23342,x23345)) % 153.71/153.56 [2335]~E(x23351,x23352)+E(f725(x23353,x23354,x23355,x23351),f725(x23353,x23354,x23355,x23352)) % 153.71/153.56 [2336]~E(x23361,x23362)+E(f731(x23361,x23363,x23364),f731(x23362,x23363,x23364)) % 153.71/153.56 [2337]~E(x23371,x23372)+E(f731(x23373,x23371,x23374),f731(x23373,x23372,x23374)) % 153.71/153.56 [2338]~E(x23381,x23382)+E(f731(x23383,x23384,x23381),f731(x23383,x23384,x23382)) % 153.71/153.56 [2339]~E(x23391,x23392)+E(f394(x23391),f394(x23392)) % 153.71/153.56 [2340]~E(x23401,x23402)+E(f280(x23401,x23403),f280(x23402,x23403)) % 153.71/153.56 [2341]~E(x23411,x23412)+E(f280(x23413,x23411),f280(x23413,x23412)) % 153.71/153.56 [2342]~E(x23421,x23422)+E(f404(x23421,x23423,x23424),f404(x23422,x23423,x23424)) % 153.71/153.56 [2343]~E(x23431,x23432)+E(f404(x23433,x23431,x23434),f404(x23433,x23432,x23434)) % 153.71/153.56 [2344]~E(x23441,x23442)+E(f404(x23443,x23444,x23441),f404(x23443,x23444,x23442)) % 153.71/153.56 [2345]~E(x23451,x23452)+E(f602(x23451,x23453),f602(x23452,x23453)) % 153.71/153.56 [2346]~E(x23461,x23462)+E(f602(x23463,x23461),f602(x23463,x23462)) % 153.71/153.56 [2347]~E(x23471,x23472)+E(f464(x23471,x23473,x23474),f464(x23472,x23473,x23474)) % 153.71/153.56 [2348]~E(x23481,x23482)+E(f464(x23483,x23481,x23484),f464(x23483,x23482,x23484)) % 153.71/153.56 [2349]~E(x23491,x23492)+E(f464(x23493,x23494,x23491),f464(x23493,x23494,x23492)) % 153.71/153.56 [2350]~E(x23501,x23502)+E(f392(x23501),f392(x23502)) % 153.71/153.56 [2351]~E(x23511,x23512)+E(f488(x23511,x23513),f488(x23512,x23513)) % 153.71/153.56 [2352]~E(x23521,x23522)+E(f488(x23523,x23521),f488(x23523,x23522)) % 153.71/153.56 [2353]~E(x23531,x23532)+E(f514(x23531,x23533,x23534,x23535,x23536),f514(x23532,x23533,x23534,x23535,x23536)) % 153.71/153.56 [2354]~E(x23541,x23542)+E(f514(x23543,x23541,x23544,x23545,x23546),f514(x23543,x23542,x23544,x23545,x23546)) % 153.71/153.56 [2355]~E(x23551,x23552)+E(f514(x23553,x23554,x23551,x23555,x23556),f514(x23553,x23554,x23552,x23555,x23556)) % 153.71/153.56 [2356]~E(x23561,x23562)+E(f514(x23563,x23564,x23565,x23561,x23566),f514(x23563,x23564,x23565,x23562,x23566)) % 153.71/153.56 [2357]~E(x23571,x23572)+E(f514(x23573,x23574,x23575,x23576,x23571),f514(x23573,x23574,x23575,x23576,x23572)) % 153.71/153.56 [2358]~E(x23581,x23582)+E(f637(x23581),f637(x23582)) % 153.71/153.56 [2359]~E(x23591,x23592)+E(f475(x23591),f475(x23592)) % 153.71/153.56 [2360]~E(x23601,x23602)+E(f456(x23601,x23603,x23604),f456(x23602,x23603,x23604)) % 153.71/153.56 [2361]~E(x23611,x23612)+E(f456(x23613,x23611,x23614),f456(x23613,x23612,x23614)) % 153.71/153.56 [2362]~E(x23621,x23622)+E(f456(x23623,x23624,x23621),f456(x23623,x23624,x23622)) % 153.71/153.56 [2363]~E(x23631,x23632)+E(f376(x23631,x23633,x23634,x23635,x23636),f376(x23632,x23633,x23634,x23635,x23636)) % 153.71/153.56 [2364]~E(x23641,x23642)+E(f376(x23643,x23641,x23644,x23645,x23646),f376(x23643,x23642,x23644,x23645,x23646)) % 153.71/153.56 [2365]~E(x23651,x23652)+E(f376(x23653,x23654,x23651,x23655,x23656),f376(x23653,x23654,x23652,x23655,x23656)) % 153.71/153.56 [2366]~E(x23661,x23662)+E(f376(x23663,x23664,x23665,x23661,x23666),f376(x23663,x23664,x23665,x23662,x23666)) % 153.71/153.56 [2367]~E(x23671,x23672)+E(f376(x23673,x23674,x23675,x23676,x23671),f376(x23673,x23674,x23675,x23676,x23672)) % 153.71/153.56 [2368]~E(x23681,x23682)+E(f345(x23681),f345(x23682)) % 153.71/153.56 [2369]~E(x23691,x23692)+E(f249(x23691,x23693,x23694,x23695,x23696),f249(x23692,x23693,x23694,x23695,x23696)) % 153.71/153.56 [2370]~E(x23701,x23702)+E(f249(x23703,x23701,x23704,x23705,x23706),f249(x23703,x23702,x23704,x23705,x23706)) % 153.71/153.56 [2371]~E(x23711,x23712)+E(f249(x23713,x23714,x23711,x23715,x23716),f249(x23713,x23714,x23712,x23715,x23716)) % 153.71/153.56 [2372]~E(x23721,x23722)+E(f249(x23723,x23724,x23725,x23721,x23726),f249(x23723,x23724,x23725,x23722,x23726)) % 153.71/153.56 [2373]~E(x23731,x23732)+E(f249(x23733,x23734,x23735,x23736,x23731),f249(x23733,x23734,x23735,x23736,x23732)) % 153.71/153.56 [2374]~E(x23741,x23742)+E(f809(x23741,x23743,x23744),f809(x23742,x23743,x23744)) % 153.71/153.56 [2375]~E(x23751,x23752)+E(f809(x23753,x23751,x23754),f809(x23753,x23752,x23754)) % 153.71/153.56 [2376]~E(x23761,x23762)+E(f809(x23763,x23764,x23761),f809(x23763,x23764,x23762)) % 153.71/153.56 [2377]~E(x23771,x23772)+E(f557(x23771),f557(x23772)) % 153.71/153.56 [2378]~E(x23781,x23782)+E(f684(x23781,x23783,x23784,x23785),f684(x23782,x23783,x23784,x23785)) % 153.71/153.56 [2379]~E(x23791,x23792)+E(f684(x23793,x23791,x23794,x23795),f684(x23793,x23792,x23794,x23795)) % 153.71/153.56 [2380]~E(x23801,x23802)+E(f684(x23803,x23804,x23801,x23805),f684(x23803,x23804,x23802,x23805)) % 153.71/153.56 [2381]~E(x23811,x23812)+E(f684(x23813,x23814,x23815,x23811),f684(x23813,x23814,x23815,x23812)) % 153.71/153.56 [2382]~E(x23821,x23822)+E(f200(x23821,x23823,x23824,x23825),f200(x23822,x23823,x23824,x23825)) % 153.71/153.56 [2383]~E(x23831,x23832)+E(f200(x23833,x23831,x23834,x23835),f200(x23833,x23832,x23834,x23835)) % 153.71/153.56 [2384]~E(x23841,x23842)+E(f200(x23843,x23844,x23841,x23845),f200(x23843,x23844,x23842,x23845)) % 153.71/153.56 [2385]~E(x23851,x23852)+E(f200(x23853,x23854,x23855,x23851),f200(x23853,x23854,x23855,x23852)) % 153.71/153.56 [2386]~E(x23861,x23862)+E(f555(x23861),f555(x23862)) % 153.71/153.56 [2387]~E(x23871,x23872)+E(f678(x23871),f678(x23872)) % 153.71/153.56 [2388]~E(x23881,x23882)+E(f443(x23881,x23883),f443(x23882,x23883)) % 153.71/153.56 [2389]~E(x23891,x23892)+E(f443(x23893,x23891),f443(x23893,x23892)) % 153.71/153.56 [2390]~E(x23901,x23902)+E(f785(x23901,x23903,x23904),f785(x23902,x23903,x23904)) % 153.71/153.56 [2391]~E(x23911,x23912)+E(f785(x23913,x23911,x23914),f785(x23913,x23912,x23914)) % 153.71/153.56 [2392]~E(x23921,x23922)+E(f785(x23923,x23924,x23921),f785(x23923,x23924,x23922)) % 153.71/153.56 [2393]~E(x23931,x23932)+E(f350(x23931,x23933,x23934,x23935),f350(x23932,x23933,x23934,x23935)) % 153.71/153.56 [2394]~E(x23941,x23942)+E(f350(x23943,x23941,x23944,x23945),f350(x23943,x23942,x23944,x23945)) % 153.71/153.56 [2395]~E(x23951,x23952)+E(f350(x23953,x23954,x23951,x23955),f350(x23953,x23954,x23952,x23955)) % 153.71/153.56 [2396]~E(x23961,x23962)+E(f350(x23963,x23964,x23965,x23961),f350(x23963,x23964,x23965,x23962)) % 153.71/153.56 [2397]~E(x23971,x23972)+E(f633(x23971),f633(x23972)) % 153.71/153.56 [2398]~E(x23981,x23982)+E(f382(x23981,x23983,x23984,x23985,x23986),f382(x23982,x23983,x23984,x23985,x23986)) % 153.71/153.56 [2399]~E(x23991,x23992)+E(f382(x23993,x23991,x23994,x23995,x23996),f382(x23993,x23992,x23994,x23995,x23996)) % 153.71/153.56 [2400]~E(x24001,x24002)+E(f382(x24003,x24004,x24001,x24005,x24006),f382(x24003,x24004,x24002,x24005,x24006)) % 153.71/153.56 [2401]~E(x24011,x24012)+E(f382(x24013,x24014,x24015,x24011,x24016),f382(x24013,x24014,x24015,x24012,x24016)) % 153.71/153.56 [2402]~E(x24021,x24022)+E(f382(x24023,x24024,x24025,x24026,x24021),f382(x24023,x24024,x24025,x24026,x24022)) % 153.71/153.56 [2403]~E(x24031,x24032)+E(f377(x24031,x24033),f377(x24032,x24033)) % 153.71/153.56 [2404]~E(x24041,x24042)+E(f377(x24043,x24041),f377(x24043,x24042)) % 153.71/153.56 [2405]~E(x24051,x24052)+E(f213(x24051,x24053,x24054,x24055,x24056),f213(x24052,x24053,x24054,x24055,x24056)) % 153.71/153.56 [2406]~E(x24061,x24062)+E(f213(x24063,x24061,x24064,x24065,x24066),f213(x24063,x24062,x24064,x24065,x24066)) % 153.71/153.56 [2407]~E(x24071,x24072)+E(f213(x24073,x24074,x24071,x24075,x24076),f213(x24073,x24074,x24072,x24075,x24076)) % 153.71/153.56 [2408]~E(x24081,x24082)+E(f213(x24083,x24084,x24085,x24081,x24086),f213(x24083,x24084,x24085,x24082,x24086)) % 153.71/153.56 [2409]~E(x24091,x24092)+E(f213(x24093,x24094,x24095,x24096,x24091),f213(x24093,x24094,x24095,x24096,x24092)) % 153.71/153.56 [2410]~E(x24101,x24102)+E(f279(x24101,x24103),f279(x24102,x24103)) % 153.71/153.56 [2411]~E(x24111,x24112)+E(f279(x24113,x24111),f279(x24113,x24112)) % 153.71/153.56 [2412]~E(x24121,x24122)+E(f563(x24121,x24123,x24124,x24125,x24126,x24127),f563(x24122,x24123,x24124,x24125,x24126,x24127)) % 153.71/153.56 [2413]~E(x24131,x24132)+E(f563(x24133,x24131,x24134,x24135,x24136,x24137),f563(x24133,x24132,x24134,x24135,x24136,x24137)) % 153.71/153.56 [2414]~E(x24141,x24142)+E(f563(x24143,x24144,x24141,x24145,x24146,x24147),f563(x24143,x24144,x24142,x24145,x24146,x24147)) % 153.71/153.56 [2415]~E(x24151,x24152)+E(f563(x24153,x24154,x24155,x24151,x24156,x24157),f563(x24153,x24154,x24155,x24152,x24156,x24157)) % 153.71/153.56 [2416]~E(x24161,x24162)+E(f563(x24163,x24164,x24165,x24166,x24161,x24167),f563(x24163,x24164,x24165,x24166,x24162,x24167)) % 153.71/153.56 [2417]~E(x24171,x24172)+E(f563(x24173,x24174,x24175,x24176,x24177,x24171),f563(x24173,x24174,x24175,x24176,x24177,x24172)) % 153.71/153.56 [2418]~E(x24181,x24182)+E(f788(x24181,x24183,x24184),f788(x24182,x24183,x24184)) % 153.71/153.56 [2419]~E(x24191,x24192)+E(f788(x24193,x24191,x24194),f788(x24193,x24192,x24194)) % 153.71/153.56 [2420]~E(x24201,x24202)+E(f788(x24203,x24204,x24201),f788(x24203,x24204,x24202)) % 153.71/153.56 [2421]~E(x24211,x24212)+E(f218(x24211,x24213,x24214,x24215),f218(x24212,x24213,x24214,x24215)) % 153.71/153.56 [2422]~E(x24221,x24222)+E(f218(x24223,x24221,x24224,x24225),f218(x24223,x24222,x24224,x24225)) % 153.71/153.56 [2423]~E(x24231,x24232)+E(f218(x24233,x24234,x24231,x24235),f218(x24233,x24234,x24232,x24235)) % 153.71/153.56 [2424]~E(x24241,x24242)+E(f218(x24243,x24244,x24245,x24241),f218(x24243,x24244,x24245,x24242)) % 153.71/153.56 [2425]~E(x24251,x24252)+E(f507(x24251,x24253,x24254,x24255),f507(x24252,x24253,x24254,x24255)) % 153.71/153.56 [2426]~E(x24261,x24262)+E(f507(x24263,x24261,x24264,x24265),f507(x24263,x24262,x24264,x24265)) % 153.71/153.56 [2427]~E(x24271,x24272)+E(f507(x24273,x24274,x24271,x24275),f507(x24273,x24274,x24272,x24275)) % 153.71/153.56 [2428]~E(x24281,x24282)+E(f507(x24283,x24284,x24285,x24281),f507(x24283,x24284,x24285,x24282)) % 153.71/153.56 [2429]~E(x24291,x24292)+E(f408(x24291,x24293,x24294,x24295,x24296),f408(x24292,x24293,x24294,x24295,x24296)) % 153.71/153.56 [2430]~E(x24301,x24302)+E(f408(x24303,x24301,x24304,x24305,x24306),f408(x24303,x24302,x24304,x24305,x24306)) % 153.71/153.56 [2431]~E(x24311,x24312)+E(f408(x24313,x24314,x24311,x24315,x24316),f408(x24313,x24314,x24312,x24315,x24316)) % 153.71/153.56 [2432]~E(x24321,x24322)+E(f408(x24323,x24324,x24325,x24321,x24326),f408(x24323,x24324,x24325,x24322,x24326)) % 153.71/153.56 [2433]~E(x24331,x24332)+E(f408(x24333,x24334,x24335,x24336,x24331),f408(x24333,x24334,x24335,x24336,x24332)) % 153.71/153.56 [2434]~E(x24341,x24342)+E(f303(x24341,x24343,x24344),f303(x24342,x24343,x24344)) % 153.71/153.56 [2435]~E(x24351,x24352)+E(f303(x24353,x24351,x24354),f303(x24353,x24352,x24354)) % 153.71/153.56 [2436]~E(x24361,x24362)+E(f303(x24363,x24364,x24361),f303(x24363,x24364,x24362)) % 153.71/153.56 [2437]~E(x24371,x24372)+E(f595(x24371,x24373,x24374,x24375,x24376,x24377),f595(x24372,x24373,x24374,x24375,x24376,x24377)) % 153.71/153.56 [2438]~E(x24381,x24382)+E(f595(x24383,x24381,x24384,x24385,x24386,x24387),f595(x24383,x24382,x24384,x24385,x24386,x24387)) % 153.71/153.56 [2439]~E(x24391,x24392)+E(f595(x24393,x24394,x24391,x24395,x24396,x24397),f595(x24393,x24394,x24392,x24395,x24396,x24397)) % 153.71/153.56 [2440]~E(x24401,x24402)+E(f595(x24403,x24404,x24405,x24401,x24406,x24407),f595(x24403,x24404,x24405,x24402,x24406,x24407)) % 153.71/153.56 [2441]~E(x24411,x24412)+E(f595(x24413,x24414,x24415,x24416,x24411,x24417),f595(x24413,x24414,x24415,x24416,x24412,x24417)) % 153.71/153.56 [2442]~E(x24421,x24422)+E(f595(x24423,x24424,x24425,x24426,x24427,x24421),f595(x24423,x24424,x24425,x24426,x24427,x24422)) % 153.71/153.56 [2443]~E(x24431,x24432)+E(f304(x24431,x24433,x24434),f304(x24432,x24433,x24434)) % 153.71/153.56 [2444]~E(x24441,x24442)+E(f304(x24443,x24441,x24444),f304(x24443,x24442,x24444)) % 153.71/153.56 [2445]~E(x24451,x24452)+E(f304(x24453,x24454,x24451),f304(x24453,x24454,x24452)) % 153.71/153.56 [2446]~E(x24461,x24462)+E(f432(x24461,x24463),f432(x24462,x24463)) % 153.71/153.56 [2447]~E(x24471,x24472)+E(f432(x24473,x24471),f432(x24473,x24472)) % 153.71/153.56 [2448]~E(x24481,x24482)+E(f201(x24481,x24483,x24484,x24485,x24486,x24487,x24488),f201(x24482,x24483,x24484,x24485,x24486,x24487,x24488)) % 153.71/153.56 [2449]~E(x24491,x24492)+E(f201(x24493,x24491,x24494,x24495,x24496,x24497,x24498),f201(x24493,x24492,x24494,x24495,x24496,x24497,x24498)) % 153.71/153.56 [2450]~E(x24501,x24502)+E(f201(x24503,x24504,x24501,x24505,x24506,x24507,x24508),f201(x24503,x24504,x24502,x24505,x24506,x24507,x24508)) % 153.71/153.56 [2451]~E(x24511,x24512)+E(f201(x24513,x24514,x24515,x24511,x24516,x24517,x24518),f201(x24513,x24514,x24515,x24512,x24516,x24517,x24518)) % 153.71/153.56 [2452]~E(x24521,x24522)+E(f201(x24523,x24524,x24525,x24526,x24521,x24527,x24528),f201(x24523,x24524,x24525,x24526,x24522,x24527,x24528)) % 153.71/153.56 [2453]~E(x24531,x24532)+E(f201(x24533,x24534,x24535,x24536,x24537,x24531,x24538),f201(x24533,x24534,x24535,x24536,x24537,x24532,x24538)) % 153.71/153.56 [2454]~E(x24541,x24542)+E(f201(x24543,x24544,x24545,x24546,x24547,x24548,x24541),f201(x24543,x24544,x24545,x24546,x24547,x24548,x24542)) % 153.71/153.56 [2455]~E(x24551,x24552)+E(f576(x24551,x24553),f576(x24552,x24553)) % 153.71/153.56 [2456]~E(x24561,x24562)+E(f576(x24563,x24561),f576(x24563,x24562)) % 153.71/153.56 [2457]~E(x24571,x24572)+E(f215(x24571,x24573,x24574,x24575,x24576),f215(x24572,x24573,x24574,x24575,x24576)) % 153.71/153.56 [2458]~E(x24581,x24582)+E(f215(x24583,x24581,x24584,x24585,x24586),f215(x24583,x24582,x24584,x24585,x24586)) % 153.71/153.56 [2459]~E(x24591,x24592)+E(f215(x24593,x24594,x24591,x24595,x24596),f215(x24593,x24594,x24592,x24595,x24596)) % 153.71/153.56 [2460]~E(x24601,x24602)+E(f215(x24603,x24604,x24605,x24601,x24606),f215(x24603,x24604,x24605,x24602,x24606)) % 153.71/153.56 [2461]~E(x24611,x24612)+E(f215(x24613,x24614,x24615,x24616,x24611),f215(x24613,x24614,x24615,x24616,x24612)) % 153.71/153.56 [2462]~E(x24621,x24622)+E(f588(x24621,x24623,x24624),f588(x24622,x24623,x24624)) % 153.71/153.56 [2463]~E(x24631,x24632)+E(f588(x24633,x24631,x24634),f588(x24633,x24632,x24634)) % 153.71/153.56 [2464]~E(x24641,x24642)+E(f588(x24643,x24644,x24641),f588(x24643,x24644,x24642)) % 153.71/153.56 [2465]~E(x24651,x24652)+E(f591(x24651,x24653,x24654),f591(x24652,x24653,x24654)) % 153.71/153.56 [2466]~E(x24661,x24662)+E(f591(x24663,x24661,x24664),f591(x24663,x24662,x24664)) % 153.71/153.56 [2467]~E(x24671,x24672)+E(f591(x24673,x24674,x24671),f591(x24673,x24674,x24672)) % 153.71/153.56 [2468]~E(x24681,x24682)+E(f698(x24681,x24683,x24684,x24685,x24686),f698(x24682,x24683,x24684,x24685,x24686)) % 153.71/153.56 [2469]~E(x24691,x24692)+E(f698(x24693,x24691,x24694,x24695,x24696),f698(x24693,x24692,x24694,x24695,x24696)) % 153.71/153.56 [2470]~E(x24701,x24702)+E(f698(x24703,x24704,x24701,x24705,x24706),f698(x24703,x24704,x24702,x24705,x24706)) % 153.71/153.56 [2471]~E(x24711,x24712)+E(f698(x24713,x24714,x24715,x24711,x24716),f698(x24713,x24714,x24715,x24712,x24716)) % 153.71/153.56 [2472]~E(x24721,x24722)+E(f698(x24723,x24724,x24725,x24726,x24721),f698(x24723,x24724,x24725,x24726,x24722)) % 153.71/153.56 [2473]~E(x24731,x24732)+E(f810(x24731,x24733,x24734),f810(x24732,x24733,x24734)) % 153.71/153.56 [2474]~E(x24741,x24742)+E(f810(x24743,x24741,x24744),f810(x24743,x24742,x24744)) % 153.71/153.56 [2475]~E(x24751,x24752)+E(f810(x24753,x24754,x24751),f810(x24753,x24754,x24752)) % 153.71/153.56 [2476]~E(x24761,x24762)+E(f804(x24761,x24763,x24764),f804(x24762,x24763,x24764)) % 153.71/153.56 [2477]~E(x24771,x24772)+E(f804(x24773,x24771,x24774),f804(x24773,x24772,x24774)) % 153.71/153.56 [2478]~E(x24781,x24782)+E(f804(x24783,x24784,x24781),f804(x24783,x24784,x24782)) % 153.71/153.56 [2479]~E(x24791,x24792)+E(f199(x24791,x24793,x24794,x24795),f199(x24792,x24793,x24794,x24795)) % 153.71/153.56 [2480]~E(x24801,x24802)+E(f199(x24803,x24801,x24804,x24805),f199(x24803,x24802,x24804,x24805)) % 153.71/153.56 [2481]~E(x24811,x24812)+E(f199(x24813,x24814,x24811,x24815),f199(x24813,x24814,x24812,x24815)) % 153.71/153.56 [2482]~E(x24821,x24822)+E(f199(x24823,x24824,x24825,x24821),f199(x24823,x24824,x24825,x24822)) % 153.71/153.56 [2483]~E(x24831,x24832)+E(f384(x24831,x24833,x24834),f384(x24832,x24833,x24834)) % 153.71/153.56 [2484]~E(x24841,x24842)+E(f384(x24843,x24841,x24844),f384(x24843,x24842,x24844)) % 153.71/153.56 [2485]~E(x24851,x24852)+E(f384(x24853,x24854,x24851),f384(x24853,x24854,x24852)) % 153.71/153.56 [2486]~E(x24861,x24862)+E(f562(x24861,x24863,x24864,x24865),f562(x24862,x24863,x24864,x24865)) % 153.71/153.56 [2487]~E(x24871,x24872)+E(f562(x24873,x24871,x24874,x24875),f562(x24873,x24872,x24874,x24875)) % 153.71/153.56 [2488]~E(x24881,x24882)+E(f562(x24883,x24884,x24881,x24885),f562(x24883,x24884,x24882,x24885)) % 153.71/153.56 [2489]~E(x24891,x24892)+E(f562(x24893,x24894,x24895,x24891),f562(x24893,x24894,x24895,x24892)) % 153.71/153.56 [2490]~E(x24901,x24902)+E(f52(x24901),f52(x24902)) % 153.71/153.56 [2491]~P1(x24911)+P1(x24912)+~E(x24911,x24912) % 153.71/153.56 [2492]~P134(x24921)+P134(x24922)+~E(x24921,x24922) % 153.71/153.56 [2493]~P93(x24931)+P93(x24932)+~E(x24931,x24932) % 153.71/153.56 [2494]~P107(x24941)+P107(x24942)+~E(x24941,x24942) % 153.71/153.56 [2495]~P2(x24951)+P2(x24952)+~E(x24951,x24952) % 153.71/153.56 [2496]P139(x24962,x24963,x24964)+~E(x24961,x24962)+~P139(x24961,x24963,x24964) % 153.71/153.56 [2497]P139(x24973,x24972,x24974)+~E(x24971,x24972)+~P139(x24973,x24971,x24974) % 153.71/153.56 [2498]P139(x24983,x24984,x24982)+~E(x24981,x24982)+~P139(x24983,x24984,x24981) % 153.71/153.56 [2499]~P89(x24991)+P89(x24992)+~E(x24991,x24992) % 153.71/153.56 [2500]~P3(x25001)+P3(x25002)+~E(x25001,x25002) % 153.71/153.56 [2501]P36(x25012,x25013,x25014)+~E(x25011,x25012)+~P36(x25011,x25013,x25014) % 153.71/153.56 [2502]P36(x25023,x25022,x25024)+~E(x25021,x25022)+~P36(x25023,x25021,x25024) % 153.71/153.56 [2503]P36(x25033,x25034,x25032)+~E(x25031,x25032)+~P36(x25033,x25034,x25031) % 153.71/153.56 [2504]~P110(x25041)+P110(x25042)+~E(x25041,x25042) % 153.71/153.56 [2505]~P4(x25051)+P4(x25052)+~E(x25051,x25052) % 153.71/153.56 [2506]~P60(x25061)+P60(x25062)+~E(x25061,x25062) % 153.71/153.56 [2507]~P61(x25071)+P61(x25072)+~E(x25071,x25072) % 153.71/153.56 [2508]~P5(x25081)+P5(x25082)+~E(x25081,x25082) % 153.71/153.56 [2509]~P97(x25091)+P97(x25092)+~E(x25091,x25092) % 153.71/153.56 [2510]~P7(x25101)+P7(x25102)+~E(x25101,x25102) % 153.71/153.56 [2511]~P64(x25111)+P64(x25112)+~E(x25111,x25112) % 153.71/153.56 [2512]P38(x25122,x25123,x25124,x25125)+~E(x25121,x25122)+~P38(x25121,x25123,x25124,x25125) % 153.71/153.56 [2513]P38(x25133,x25132,x25134,x25135)+~E(x25131,x25132)+~P38(x25133,x25131,x25134,x25135) % 153.71/153.56 [2514]P38(x25143,x25144,x25142,x25145)+~E(x25141,x25142)+~P38(x25143,x25144,x25141,x25145) % 153.71/153.56 [2515]P38(x25153,x25154,x25155,x25152)+~E(x25151,x25152)+~P38(x25153,x25154,x25155,x25151) % 153.71/153.56 [2516]~P65(x25161)+P65(x25162)+~E(x25161,x25162) % 153.71/153.56 [2517]~P9(x25171)+P9(x25172)+~E(x25171,x25172) % 153.71/153.56 [2518]~P95(x25181)+P95(x25182)+~E(x25181,x25182) % 153.71/153.56 [2519]~P74(x25191)+P74(x25192)+~E(x25191,x25192) % 153.71/153.56 [2520]~P66(x25201)+P66(x25202)+~E(x25201,x25202) % 153.71/153.56 [2521]~P82(x25211)+P82(x25212)+~E(x25211,x25212) % 153.71/153.56 [2522]~P115(x25221)+P115(x25222)+~E(x25221,x25222) % 153.71/153.56 [2523]~P100(x25231)+P100(x25232)+~E(x25231,x25232) % 153.71/153.56 [2524]~P135(x25241)+P135(x25242)+~E(x25241,x25242) % 153.71/153.56 [2525]P140(x25252,x25253)+~E(x25251,x25252)+~P140(x25251,x25253) % 153.71/153.56 [2526]P140(x25263,x25262)+~E(x25261,x25262)+~P140(x25263,x25261) % 153.71/153.56 [2527]~P71(x25271)+P71(x25272)+~E(x25271,x25272) % 153.71/153.56 [2528]~P35(x25281)+P35(x25282)+~E(x25281,x25282) % 153.71/153.56 [2529]P18(x25292,x25293)+~E(x25291,x25292)+~P18(x25291,x25293) % 153.71/153.56 [2530]P18(x25303,x25302)+~E(x25301,x25302)+~P18(x25303,x25301) % 153.71/153.56 [2531]~P77(x25311)+P77(x25312)+~E(x25311,x25312) % 153.71/153.56 [2532]P138(x25322,x25323,x25324)+~E(x25321,x25322)+~P138(x25321,x25323,x25324) % 153.71/153.56 [2533]P138(x25333,x25332,x25334)+~E(x25331,x25332)+~P138(x25333,x25331,x25334) % 153.71/153.56 [2534]P138(x25343,x25344,x25342)+~E(x25341,x25342)+~P138(x25343,x25344,x25341) % 153.71/153.56 [2535]~P68(x25351)+P68(x25352)+~E(x25351,x25352) % 153.71/153.56 [2536]P56(x25362,x25363)+~E(x25361,x25362)+~P56(x25361,x25363) % 153.71/153.56 [2537]P56(x25373,x25372)+~E(x25371,x25372)+~P56(x25373,x25371) % 153.71/153.56 [2538]~P78(x25381)+P78(x25382)+~E(x25381,x25382) % 153.71/153.56 [2539]~P130(x25391)+P130(x25392)+~E(x25391,x25392) % 153.71/153.56 [2540]~P86(x25401)+P86(x25402)+~E(x25401,x25402) % 153.71/153.56 [2541]~P114(x25411)+P114(x25412)+~E(x25411,x25412) % 153.71/153.56 [2542]P28(x25422,x25423,x25424,x25425)+~E(x25421,x25422)+~P28(x25421,x25423,x25424,x25425) % 153.71/153.56 [2543]P28(x25433,x25432,x25434,x25435)+~E(x25431,x25432)+~P28(x25433,x25431,x25434,x25435) % 153.71/153.56 [2544]P28(x25443,x25444,x25442,x25445)+~E(x25441,x25442)+~P28(x25443,x25444,x25441,x25445) % 153.71/153.56 [2545]P28(x25453,x25454,x25455,x25452)+~E(x25451,x25452)+~P28(x25453,x25454,x25455,x25451) % 153.71/153.56 [2546]P30(x25462,x25463)+~E(x25461,x25462)+~P30(x25461,x25463) % 153.71/153.56 [2547]P30(x25473,x25472)+~E(x25471,x25472)+~P30(x25473,x25471) % 153.71/153.56 [2548]~P83(x25481)+P83(x25482)+~E(x25481,x25482) % 153.71/153.56 [2549]~P125(x25491)+P125(x25492)+~E(x25491,x25492) % 153.71/153.56 [2550]~P85(x25501)+P85(x25502)+~E(x25501,x25502) % 153.71/153.56 [2551]~P96(x25511)+P96(x25512)+~E(x25511,x25512) % 153.71/153.56 [2552]~P84(x25521)+P84(x25522)+~E(x25521,x25522) % 153.71/153.56 [2553]P12(x25532,x25533,x25534)+~E(x25531,x25532)+~P12(x25531,x25533,x25534) % 153.71/153.56 [2554]P12(x25543,x25542,x25544)+~E(x25541,x25542)+~P12(x25543,x25541,x25544) % 153.71/153.56 [2555]P12(x25553,x25554,x25552)+~E(x25551,x25552)+~P12(x25553,x25554,x25551) % 153.71/153.56 [2556]~P62(x25561)+P62(x25562)+~E(x25561,x25562) % 153.71/153.56 [2557]~P72(x25571)+P72(x25572)+~E(x25571,x25572) % 153.71/153.56 [2558]P33(x25582,x25583)+~E(x25581,x25582)+~P33(x25581,x25583) % 153.71/153.56 [2559]P33(x25593,x25592)+~E(x25591,x25592)+~P33(x25593,x25591) % 153.71/153.56 [2560]~P8(x25601)+P8(x25602)+~E(x25601,x25602) % 153.71/153.56 [2561]~P58(x25611)+P58(x25612)+~E(x25611,x25612) % 153.71/153.56 [2562]~P87(x25621)+P87(x25622)+~E(x25621,x25622) % 153.71/153.56 [2563]P27(x25632,x25633,x25634,x25635,x25636,x25637)+~E(x25631,x25632)+~P27(x25631,x25633,x25634,x25635,x25636,x25637) % 153.71/153.56 [2564]P27(x25643,x25642,x25644,x25645,x25646,x25647)+~E(x25641,x25642)+~P27(x25643,x25641,x25644,x25645,x25646,x25647) % 153.71/153.56 [2565]P27(x25653,x25654,x25652,x25655,x25656,x25657)+~E(x25651,x25652)+~P27(x25653,x25654,x25651,x25655,x25656,x25657) % 153.71/153.56 [2566]P27(x25663,x25664,x25665,x25662,x25666,x25667)+~E(x25661,x25662)+~P27(x25663,x25664,x25665,x25661,x25666,x25667) % 153.71/153.56 [2567]P27(x25673,x25674,x25675,x25676,x25672,x25677)+~E(x25671,x25672)+~P27(x25673,x25674,x25675,x25676,x25671,x25677) % 153.71/153.56 [2568]P27(x25683,x25684,x25685,x25686,x25687,x25682)+~E(x25681,x25682)+~P27(x25683,x25684,x25685,x25686,x25687,x25681) % 153.71/153.56 [2569]~P133(x25691)+P133(x25692)+~E(x25691,x25692) % 153.71/153.56 [2570]~P99(x25701)+P99(x25702)+~E(x25701,x25702) % 153.71/153.56 [2571]~P116(x25711)+P116(x25712)+~E(x25711,x25712) % 153.71/153.56 [2572]~P102(x25721)+P102(x25722)+~E(x25721,x25722) % 153.71/153.56 [2573]~P136(x25731)+P136(x25732)+~E(x25731,x25732) % 153.71/153.56 [2574]~P117(x25741)+P117(x25742)+~E(x25741,x25742) % 153.71/153.56 [2575]~P129(x25751)+P129(x25752)+~E(x25751,x25752) % 153.71/153.56 [2576]~P108(x25761)+P108(x25762)+~E(x25761,x25762) % 153.71/153.56 [2577]~P67(x25771)+P67(x25772)+~E(x25771,x25772) % 153.71/153.56 [2578]~P101(x25781)+P101(x25782)+~E(x25781,x25782) % 153.71/153.56 [2579]~P76(x25791)+P76(x25792)+~E(x25791,x25792) % 153.71/153.56 [2580]P25(x25802,x25803,x25804,x25805,x25806)+~E(x25801,x25802)+~P25(x25801,x25803,x25804,x25805,x25806) % 153.71/153.56 [2581]P25(x25813,x25812,x25814,x25815,x25816)+~E(x25811,x25812)+~P25(x25813,x25811,x25814,x25815,x25816) % 153.71/153.56 [2582]P25(x25823,x25824,x25822,x25825,x25826)+~E(x25821,x25822)+~P25(x25823,x25824,x25821,x25825,x25826) % 153.71/153.56 [2583]P25(x25833,x25834,x25835,x25832,x25836)+~E(x25831,x25832)+~P25(x25833,x25834,x25835,x25831,x25836) % 153.71/153.56 [2584]P25(x25843,x25844,x25845,x25846,x25842)+~E(x25841,x25842)+~P25(x25843,x25844,x25845,x25846,x25841) % 153.71/153.56 [2585]P39(x25852,x25853,x25854,x25855,x25856,x25857)+~E(x25851,x25852)+~P39(x25851,x25853,x25854,x25855,x25856,x25857) % 153.71/153.56 [2586]P39(x25863,x25862,x25864,x25865,x25866,x25867)+~E(x25861,x25862)+~P39(x25863,x25861,x25864,x25865,x25866,x25867) % 153.71/153.56 [2587]P39(x25873,x25874,x25872,x25875,x25876,x25877)+~E(x25871,x25872)+~P39(x25873,x25874,x25871,x25875,x25876,x25877) % 153.71/153.56 [2588]P39(x25883,x25884,x25885,x25882,x25886,x25887)+~E(x25881,x25882)+~P39(x25883,x25884,x25885,x25881,x25886,x25887) % 153.71/153.56 [2589]P39(x25893,x25894,x25895,x25896,x25892,x25897)+~E(x25891,x25892)+~P39(x25893,x25894,x25895,x25896,x25891,x25897) % 153.71/153.56 [2590]P39(x25903,x25904,x25905,x25906,x25907,x25902)+~E(x25901,x25902)+~P39(x25903,x25904,x25905,x25906,x25907,x25901) % 153.71/153.56 [2591]P19(x25912,x25913,x25914)+~E(x25911,x25912)+~P19(x25911,x25913,x25914) % 153.71/153.56 [2592]P19(x25923,x25922,x25924)+~E(x25921,x25922)+~P19(x25923,x25921,x25924) % 153.71/153.56 [2593]P19(x25933,x25934,x25932)+~E(x25931,x25932)+~P19(x25933,x25934,x25931) % 153.71/153.56 [2594]P16(x25942,x25943,x25944,x25945)+~E(x25941,x25942)+~P16(x25941,x25943,x25944,x25945) % 153.71/153.56 [2595]P16(x25953,x25952,x25954,x25955)+~E(x25951,x25952)+~P16(x25953,x25951,x25954,x25955) % 153.71/153.56 [2596]P16(x25963,x25964,x25962,x25965)+~E(x25961,x25962)+~P16(x25963,x25964,x25961,x25965) % 153.71/153.56 [2597]P16(x25973,x25974,x25975,x25972)+~E(x25971,x25972)+~P16(x25973,x25974,x25975,x25971) % 153.71/153.56 [2598]~P73(x25981)+P73(x25982)+~E(x25981,x25982) % 153.71/153.56 [2599]P11(x25992,x25993)+~E(x25991,x25992)+~P11(x25991,x25993) % 153.71/153.56 [2600]P11(x26003,x26002)+~E(x26001,x26002)+~P11(x26003,x26001) % 153.71/153.56 [2601]~P6(x26011)+P6(x26012)+~E(x26011,x26012) % 153.71/153.56 [2602]P24(x26022,x26023,x26024,x26025)+~E(x26021,x26022)+~P24(x26021,x26023,x26024,x26025) % 153.71/153.56 [2603]P24(x26033,x26032,x26034,x26035)+~E(x26031,x26032)+~P24(x26033,x26031,x26034,x26035) % 153.71/153.56 [2604]P24(x26043,x26044,x26042,x26045)+~E(x26041,x26042)+~P24(x26043,x26044,x26041,x26045) % 153.71/153.56 [2605]P24(x26053,x26054,x26055,x26052)+~E(x26051,x26052)+~P24(x26053,x26054,x26055,x26051) % 153.71/153.56 [2606]P45(x26062,x26063,x26064)+~E(x26061,x26062)+~P45(x26061,x26063,x26064) % 153.71/153.56 [2607]P45(x26073,x26072,x26074)+~E(x26071,x26072)+~P45(x26073,x26071,x26074) % 153.71/153.56 [2608]P45(x26083,x26084,x26082)+~E(x26081,x26082)+~P45(x26083,x26084,x26081) % 153.71/153.56 [2609]~P119(x26091)+P119(x26092)+~E(x26091,x26092) % 153.71/153.56 [2610]P51(x26102,x26103,x26104)+~E(x26101,x26102)+~P51(x26101,x26103,x26104) % 153.71/153.56 [2611]P51(x26113,x26112,x26114)+~E(x26111,x26112)+~P51(x26113,x26111,x26114) % 153.71/153.56 [2612]P51(x26123,x26124,x26122)+~E(x26121,x26122)+~P51(x26123,x26124,x26121) % 153.71/153.56 [2613]P29(x26132,x26133)+~E(x26131,x26132)+~P29(x26131,x26133) % 153.71/153.56 [2614]P29(x26143,x26142)+~E(x26141,x26142)+~P29(x26143,x26141) % 153.71/153.56 [2615]~P88(x26151)+P88(x26152)+~E(x26151,x26152) % 153.71/153.56 [2616]~P109(x26161)+P109(x26162)+~E(x26161,x26162) % 153.71/153.56 [2617]P22(x26172,x26173,x26174)+~E(x26171,x26172)+~P22(x26171,x26173,x26174) % 153.71/153.56 [2618]P22(x26183,x26182,x26184)+~E(x26181,x26182)+~P22(x26183,x26181,x26184) % 153.71/153.56 [2619]P22(x26193,x26194,x26192)+~E(x26191,x26192)+~P22(x26193,x26194,x26191) % 153.71/153.56 [2620]~P118(x26201)+P118(x26202)+~E(x26201,x26202) % 153.71/153.56 [2621]~P10(x26211)+P10(x26212)+~E(x26211,x26212) % 153.71/153.56 [2622]P52(x26222,x26223,x26224)+~E(x26221,x26222)+~P52(x26221,x26223,x26224) % 153.71/153.56 [2623]P52(x26233,x26232,x26234)+~E(x26231,x26232)+~P52(x26233,x26231,x26234) % 153.71/153.56 [2624]P52(x26243,x26244,x26242)+~E(x26241,x26242)+~P52(x26243,x26244,x26241) % 153.71/153.56 [2625]~P131(x26251)+P131(x26252)+~E(x26251,x26252) % 153.71/153.56 [2626]P46(x26262,x26263)+~E(x26261,x26262)+~P46(x26261,x26263) % 153.71/153.56 [2627]P46(x26273,x26272)+~E(x26271,x26272)+~P46(x26273,x26271) % 153.71/153.56 [2628]~P94(x26281)+P94(x26282)+~E(x26281,x26282) % 153.71/153.56 [2629]~P103(x26291)+P103(x26292)+~E(x26291,x26292) % 153.71/153.56 [2630]P23(x26302,x26303,x26304,x26305)+~E(x26301,x26302)+~P23(x26301,x26303,x26304,x26305) % 153.71/153.56 [2631]P23(x26313,x26312,x26314,x26315)+~E(x26311,x26312)+~P23(x26313,x26311,x26314,x26315) % 153.71/153.56 [2632]P23(x26323,x26324,x26322,x26325)+~E(x26321,x26322)+~P23(x26323,x26324,x26321,x26325) % 153.71/153.56 [2633]P23(x26333,x26334,x26335,x26332)+~E(x26331,x26332)+~P23(x26333,x26334,x26335,x26331) % 153.71/153.56 [2634]P54(x26342,x26343)+~E(x26341,x26342)+~P54(x26341,x26343) % 153.71/153.56 [2635]P54(x26353,x26352)+~E(x26351,x26352)+~P54(x26353,x26351) % 153.89/153.56 [2636]P17(x26362,x26363,x26364,x26365,x26366,x26367)+~E(x26361,x26362)+~P17(x26361,x26363,x26364,x26365,x26366,x26367) % 153.89/153.56 [2637]P17(x26373,x26372,x26374,x26375,x26376,x26377)+~E(x26371,x26372)+~P17(x26373,x26371,x26374,x26375,x26376,x26377) % 153.89/153.56 [2638]P17(x26383,x26384,x26382,x26385,x26386,x26387)+~E(x26381,x26382)+~P17(x26383,x26384,x26381,x26385,x26386,x26387) % 153.89/153.56 [2639]P17(x26393,x26394,x26395,x26392,x26396,x26397)+~E(x26391,x26392)+~P17(x26393,x26394,x26395,x26391,x26396,x26397) % 153.89/153.56 [2640]P17(x26403,x26404,x26405,x26406,x26402,x26407)+~E(x26401,x26402)+~P17(x26403,x26404,x26405,x26406,x26401,x26407) % 153.89/153.56 [2641]P17(x26413,x26414,x26415,x26416,x26417,x26412)+~E(x26411,x26412)+~P17(x26413,x26414,x26415,x26416,x26417,x26411) % 153.89/153.56 [2642]~P132(x26421)+P132(x26422)+~E(x26421,x26422) % 153.89/153.56 [2643]P50(x26432,x26433,x26434,x26435)+~E(x26431,x26432)+~P50(x26431,x26433,x26434,x26435) % 153.89/153.56 [2644]P50(x26443,x26442,x26444,x26445)+~E(x26441,x26442)+~P50(x26443,x26441,x26444,x26445) % 153.89/153.56 [2645]P50(x26453,x26454,x26452,x26455)+~E(x26451,x26452)+~P50(x26453,x26454,x26451,x26455) % 153.89/153.56 [2646]P50(x26463,x26464,x26465,x26462)+~E(x26461,x26462)+~P50(x26463,x26464,x26465,x26461) % 153.89/153.56 [2647]~P120(x26471)+P120(x26472)+~E(x26471,x26472) % 153.89/153.56 [2648]~P106(x26481)+P106(x26482)+~E(x26481,x26482) % 153.89/153.56 [2649]P49(x26492,x26493,x26494,x26495,x26496,x26497,x26498)+~E(x26491,x26492)+~P49(x26491,x26493,x26494,x26495,x26496,x26497,x26498) % 153.89/153.56 [2650]P49(x26503,x26502,x26504,x26505,x26506,x26507,x26508)+~E(x26501,x26502)+~P49(x26503,x26501,x26504,x26505,x26506,x26507,x26508) % 153.89/153.56 [2651]P49(x26513,x26514,x26512,x26515,x26516,x26517,x26518)+~E(x26511,x26512)+~P49(x26513,x26514,x26511,x26515,x26516,x26517,x26518) % 153.89/153.56 [2652]P49(x26523,x26524,x26525,x26522,x26526,x26527,x26528)+~E(x26521,x26522)+~P49(x26523,x26524,x26525,x26521,x26526,x26527,x26528) % 153.89/153.56 [2653]P49(x26533,x26534,x26535,x26536,x26532,x26537,x26538)+~E(x26531,x26532)+~P49(x26533,x26534,x26535,x26536,x26531,x26537,x26538) % 153.89/153.56 [2654]P49(x26543,x26544,x26545,x26546,x26547,x26542,x26548)+~E(x26541,x26542)+~P49(x26543,x26544,x26545,x26546,x26547,x26541,x26548) % 153.89/153.56 [2655]P49(x26553,x26554,x26555,x26556,x26557,x26558,x26552)+~E(x26551,x26552)+~P49(x26553,x26554,x26555,x26556,x26557,x26558,x26551) % 153.89/153.56 [2656]~P59(x26561)+P59(x26562)+~E(x26561,x26562) % 153.89/153.56 [2657]~P128(x26571)+P128(x26572)+~E(x26571,x26572) % 153.89/153.56 [2658]~P112(x26581)+P112(x26582)+~E(x26581,x26582) % 153.89/153.56 [2659]~P79(x26591)+P79(x26592)+~E(x26591,x26592) % 153.89/153.56 [2660]~P124(x26601)+P124(x26602)+~E(x26601,x26602) % 153.89/153.56 [2661]~P41(x26611)+P41(x26612)+~E(x26611,x26612) % 153.89/153.56 [2662]P20(x26622,x26623,x26624)+~E(x26621,x26622)+~P20(x26621,x26623,x26624) % 153.89/153.56 [2663]P20(x26633,x26632,x26634)+~E(x26631,x26632)+~P20(x26633,x26631,x26634) % 153.89/153.56 [2664]P20(x26643,x26644,x26642)+~E(x26641,x26642)+~P20(x26643,x26644,x26641) % 153.89/153.56 [2665]~P127(x26651)+P127(x26652)+~E(x26651,x26652) % 153.89/153.56 [2666]P47(x26662,x26663)+~E(x26661,x26662)+~P47(x26661,x26663) % 153.89/153.56 [2667]P47(x26673,x26672)+~E(x26671,x26672)+~P47(x26673,x26671) % 153.89/153.56 [2668]P141(x26682,x26683)+~E(x26681,x26682)+~P141(x26681,x26683) % 153.89/153.56 [2669]P141(x26693,x26692)+~E(x26691,x26692)+~P141(x26693,x26691) % 153.89/153.56 [2670]~P121(x26701)+P121(x26702)+~E(x26701,x26702) % 153.89/153.56 [2671]~P75(x26711)+P75(x26712)+~E(x26711,x26712) % 153.89/153.56 [2672]~P113(x26721)+P113(x26722)+~E(x26721,x26722) % 153.89/153.56 [2673]~P90(x26731)+P90(x26732)+~E(x26731,x26732) % 153.89/153.56 [2674]P53(x26742,x26743,x26744,x26745,x26746)+~E(x26741,x26742)+~P53(x26741,x26743,x26744,x26745,x26746) % 153.89/153.56 [2675]P53(x26753,x26752,x26754,x26755,x26756)+~E(x26751,x26752)+~P53(x26753,x26751,x26754,x26755,x26756) % 153.89/153.56 [2676]P53(x26763,x26764,x26762,x26765,x26766)+~E(x26761,x26762)+~P53(x26763,x26764,x26761,x26765,x26766) % 153.89/153.56 [2677]P53(x26773,x26774,x26775,x26772,x26776)+~E(x26771,x26772)+~P53(x26773,x26774,x26775,x26771,x26776) % 153.89/153.56 [2678]P53(x26783,x26784,x26785,x26786,x26782)+~E(x26781,x26782)+~P53(x26783,x26784,x26785,x26786,x26781) % 153.89/153.56 [2679]~P98(x26791)+P98(x26792)+~E(x26791,x26792) % 153.89/153.56 [2680]P21(x26802,x26803,x26804)+~E(x26801,x26802)+~P21(x26801,x26803,x26804) % 153.89/153.56 [2681]P21(x26813,x26812,x26814)+~E(x26811,x26812)+~P21(x26813,x26811,x26814) % 153.89/153.56 [2682]P21(x26823,x26824,x26822)+~E(x26821,x26822)+~P21(x26823,x26824,x26821) % 153.89/153.56 [2683]~P69(x26831)+P69(x26832)+~E(x26831,x26832) % 153.89/153.56 [2684]~P91(x26841)+P91(x26842)+~E(x26841,x26842) % 153.89/153.56 [2685]~P57(x26851)+P57(x26852)+~E(x26851,x26852) % 153.89/153.56 [2686]P55(x26862,x26863,x26864,x26865)+~E(x26861,x26862)+~P55(x26861,x26863,x26864,x26865) % 153.89/153.56 [2687]P55(x26873,x26872,x26874,x26875)+~E(x26871,x26872)+~P55(x26873,x26871,x26874,x26875) % 153.89/153.56 [2688]P55(x26883,x26884,x26882,x26885)+~E(x26881,x26882)+~P55(x26883,x26884,x26881,x26885) % 153.89/153.56 [2689]P55(x26893,x26894,x26895,x26892)+~E(x26891,x26892)+~P55(x26893,x26894,x26895,x26891) % 153.89/153.56 [2690]~P126(x26901)+P126(x26902)+~E(x26901,x26902) % 153.89/153.56 [2691]P31(x26912,x26913,x26914,x26915)+~E(x26911,x26912)+~P31(x26911,x26913,x26914,x26915) % 153.89/153.56 [2692]P31(x26923,x26922,x26924,x26925)+~E(x26921,x26922)+~P31(x26923,x26921,x26924,x26925) % 153.89/153.56 [2693]P31(x26933,x26934,x26932,x26935)+~E(x26931,x26932)+~P31(x26933,x26934,x26931,x26935) % 153.89/153.56 [2694]P31(x26943,x26944,x26945,x26942)+~E(x26941,x26942)+~P31(x26943,x26944,x26945,x26941) % 153.89/153.56 [2695]~P92(x26951)+P92(x26952)+~E(x26951,x26952) % 153.89/153.56 [2696]~P122(x26961)+P122(x26962)+~E(x26961,x26962) % 153.89/153.56 [2697]P44(x26972,x26973,x26974)+~E(x26971,x26972)+~P44(x26971,x26973,x26974) % 153.89/153.56 [2698]P44(x26983,x26982,x26984)+~E(x26981,x26982)+~P44(x26983,x26981,x26984) % 153.89/153.56 [2699]P44(x26993,x26994,x26992)+~E(x26991,x26992)+~P44(x26993,x26994,x26991) % 153.89/153.56 [2700]P14(x27002,x27003,x27004)+~E(x27001,x27002)+~P14(x27001,x27003,x27004) % 153.89/153.56 [2701]P14(x27013,x27012,x27014)+~E(x27011,x27012)+~P14(x27013,x27011,x27014) % 153.89/153.56 [2702]P14(x27023,x27024,x27022)+~E(x27021,x27022)+~P14(x27023,x27024,x27021) % 153.89/153.56 [2703]~P123(x27031)+P123(x27032)+~E(x27031,x27032) % 153.89/153.56 [2704]P43(x27042,x27043,x27044)+~E(x27041,x27042)+~P43(x27041,x27043,x27044) % 153.89/153.56 [2705]P43(x27053,x27052,x27054)+~E(x27051,x27052)+~P43(x27053,x27051,x27054) % 153.89/153.56 [2706]P43(x27063,x27064,x27062)+~E(x27061,x27062)+~P43(x27063,x27064,x27061) % 153.89/153.56 [2707]P48(x27072,x27073,x27074,x27075)+~E(x27071,x27072)+~P48(x27071,x27073,x27074,x27075) % 153.89/153.56 [2708]P48(x27083,x27082,x27084,x27085)+~E(x27081,x27082)+~P48(x27083,x27081,x27084,x27085) % 153.89/153.56 [2709]P48(x27093,x27094,x27092,x27095)+~E(x27091,x27092)+~P48(x27093,x27094,x27091,x27095) % 153.89/153.56 [2710]P48(x27103,x27104,x27105,x27102)+~E(x27101,x27102)+~P48(x27103,x27104,x27105,x27101) % 153.89/153.56 [2711]P37(x27112,x27113,x27114,x27115)+~E(x27111,x27112)+~P37(x27111,x27113,x27114,x27115) % 153.89/153.56 [2712]P37(x27123,x27122,x27124,x27125)+~E(x27121,x27122)+~P37(x27123,x27121,x27124,x27125) % 153.89/153.56 [2713]P37(x27133,x27134,x27132,x27135)+~E(x27131,x27132)+~P37(x27133,x27134,x27131,x27135) % 153.89/153.56 [2714]P37(x27143,x27144,x27145,x27142)+~E(x27141,x27142)+~P37(x27143,x27144,x27145,x27141) % 153.89/153.56 [2715]~P32(x27151)+P32(x27152)+~E(x27151,x27152) % 153.89/153.56 [2716]P26(x27162,x27163,x27164,x27165,x27166,x27167)+~E(x27161,x27162)+~P26(x27161,x27163,x27164,x27165,x27166,x27167) % 153.89/153.56 [2717]P26(x27173,x27172,x27174,x27175,x27176,x27177)+~E(x27171,x27172)+~P26(x27173,x27171,x27174,x27175,x27176,x27177) % 153.89/153.56 [2718]P26(x27183,x27184,x27182,x27185,x27186,x27187)+~E(x27181,x27182)+~P26(x27183,x27184,x27181,x27185,x27186,x27187) % 153.89/153.56 [2719]P26(x27193,x27194,x27195,x27192,x27196,x27197)+~E(x27191,x27192)+~P26(x27193,x27194,x27195,x27191,x27196,x27197) % 153.89/153.56 [2720]P26(x27203,x27204,x27205,x27206,x27202,x27207)+~E(x27201,x27202)+~P26(x27203,x27204,x27205,x27206,x27201,x27207) % 153.89/153.56 [2721]P26(x27213,x27214,x27215,x27216,x27217,x27212)+~E(x27211,x27212)+~P26(x27213,x27214,x27215,x27216,x27217,x27211) % 153.89/153.56 [2722]~P81(x27221)+P81(x27222)+~E(x27221,x27222) % 153.89/153.56 [2723]~P80(x27231)+P80(x27232)+~E(x27231,x27232) % 153.89/153.56 [2724]~P63(x27241)+P63(x27242)+~E(x27241,x27242) % 153.89/153.56 [2725]~P105(x27251)+P105(x27252)+~E(x27251,x27252) % 153.89/153.56 [2726]P42(x27262,x27263)+~E(x27261,x27262)+~P42(x27261,x27263) % 153.89/153.56 [2727]P42(x27273,x27272)+~E(x27271,x27272)+~P42(x27273,x27271) % 153.89/153.56 [2728]~P104(x27281)+P104(x27282)+~E(x27281,x27282) % 153.89/153.56 [2729]P15(x27292,x27293,x27294,x27295,x27296)+~E(x27291,x27292)+~P15(x27291,x27293,x27294,x27295,x27296) % 153.89/153.56 [2730]P15(x27303,x27302,x27304,x27305,x27306)+~E(x27301,x27302)+~P15(x27303,x27301,x27304,x27305,x27306) % 153.89/153.56 [2731]P15(x27313,x27314,x27312,x27315,x27316)+~E(x27311,x27312)+~P15(x27313,x27314,x27311,x27315,x27316) % 153.89/153.56 [2732]P15(x27323,x27324,x27325,x27322,x27326)+~E(x27321,x27322)+~P15(x27323,x27324,x27325,x27321,x27326) % 153.89/153.56 [2733]P15(x27333,x27334,x27335,x27336,x27332)+~E(x27331,x27332)+~P15(x27333,x27334,x27335,x27336,x27331) % 153.89/153.56 [2734]P34(x27342,x27343)+~E(x27341,x27342)+~P34(x27341,x27343) % 153.89/153.56 [2735]P34(x27353,x27352)+~E(x27351,x27352)+~P34(x27353,x27351) % 153.89/153.56 [2736]~P70(x27361)+P70(x27362)+~E(x27361,x27362) % 153.89/153.56 [2737]~P137(x27371)+P137(x27372)+~E(x27371,x27372) % 153.89/153.56 [2738]~P13(x27381)+P13(x27382)+~E(x27381,x27382) % 153.89/153.56 [2739]P40(x27392,x27393)+~E(x27391,x27392)+~P40(x27391,x27393) % 153.89/153.56 [2740]P40(x27403,x27402)+~E(x27401,x27402)+~P40(x27403,x27401) % 153.89/153.56 [2741]~P111(x27411)+P111(x27412)+~E(x27411,x27412) % 153.89/153.56 % 153.89/153.56 %------------------------------------------- % 153.91/153.59 cnf(9974,plain, % 153.91/153.59 (E(f37(x99741,x99742,x99743,x99744,x99745,x99746,x99747,x99748,x99749,a25),x99742)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(9977,plain, % 153.91/153.59 (E(f37(x99771,x99772,x99773,x99774,x99775,x99776,x99777,x99778,x99779,a25),x99772)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(9980,plain, % 153.91/153.59 (~E(f327(a111,x99801),x99801)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(9983,plain, % 153.91/153.59 (~E(f327(a111,x99831),x99831)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(9986,plain, % 153.91/153.59 (E(f37(x99861,x99862,x99863,x99864,x99865,x99866,x99867,x99868,x99869,a25),x99862)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(9993,plain, % 153.91/153.59 (~E(f327(a111,x99931),x99931)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(10004,plain, % 153.91/153.59 (~E(f327(a111,x100041),x100041)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(10009,plain, % 153.91/153.59 (~P134(f327(f67(x100091,x100092,f176(f841(x100091,a831))),x100093))), % 153.91/153.59 inference(rename_variables,[],[4411])). % 153.91/153.59 cnf(10012,plain, % 153.91/153.59 (~P134(f327(f67(x100121,x100122,f176(f841(x100121,a831))),x100123))), % 153.91/153.59 inference(rename_variables,[],[4411])). % 153.91/153.59 cnf(10015,plain, % 153.91/153.59 (~E(f327(a111,x100151),x100151)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(10018,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x100181),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(10021,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x100211),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(10040,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x100401)),x100401))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(10043,plain, % 153.91/153.59 (~E(f327(f327(f136(x100431),x100432),x100433),x100433)), % 153.91/153.59 inference(rename_variables,[],[4334])). % 153.91/153.59 cnf(10049,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x100491),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(10052,plain, % 153.91/153.59 (E(f37(x100521,x100522,x100523,x100524,x100525,x100526,x100527,x100528,x100529,a25),x100522)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(10055,plain, % 153.91/153.59 (E(f37(x100551,x100552,x100553,x100554,x100555,x100556,x100557,x100558,x100559,a25),x100552)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(10061,plain, % 153.91/153.59 (~E(f327(f327(f84(a834),x100611),f327(a111,x100612)),x100612)), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,4300,9980,9983,9993,10004,2964,3022,2988,2971,4334,4416,3109,4388,10018,10021,4385,4328,4397,4395,3102,4380,4411,10009,4414,4412,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956])). % 153.91/153.59 cnf(10062,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),f327(f327(f84(a834),x100621),x100622)),x100622))), % 153.91/153.59 inference(rename_variables,[],[4412])). % 153.91/153.59 cnf(10065,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),f327(f327(f84(a834),x100651),x100652)),x100652))), % 153.91/153.59 inference(rename_variables,[],[4412])). % 153.91/153.59 cnf(10086,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x100861),x100861))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(10089,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),f53(a834,x100891,x100892)),x100891))), % 153.91/153.59 inference(rename_variables,[],[3575])). % 153.91/153.59 cnf(10108,plain, % 153.91/153.59 (E(f327(f43(a834),f327(f252(a834),x101081)),x101081)), % 153.91/153.59 inference(rename_variables,[],[3019])). % 153.91/153.59 cnf(10116,plain, % 153.91/153.59 (~E(f327(a111,x101161),x101161)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(10119,plain, % 153.91/153.59 (~E(f327(a111,x101191),x101191)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(10122,plain, % 153.91/153.59 (~E(f327(a111,x101221),x101221)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(10124,plain, % 153.91/153.59 (P134(f327(a182,a96))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,4300,9980,9983,9993,10004,10015,10116,10119,2964,3022,2988,2971,3058,4334,3019,4416,3041,3191,3109,4388,10018,10021,3705,3126,4385,4328,4384,10086,3218,3637,3575,4397,10040,3942,4395,4376,3102,4380,4411,10009,4414,4412,10062,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151])). % 153.91/153.59 cnf(10127,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x101271),f327(a111,x101271)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(10130,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x101301),f327(a111,x101301)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(10132,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x101321),f327(a111,x101321)))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,4300,9980,9983,9993,10004,10015,10116,10119,2964,3022,2988,2971,3058,4334,3019,4416,3041,3191,10127,3109,4388,10018,10021,3705,3126,4385,4328,4384,10086,3218,3637,3575,4397,10040,3942,4395,4376,3102,4380,4411,10009,4414,4412,10062,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163])). % 153.91/153.59 cnf(10139,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x101391),x101391))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(10146,plain, % 153.91/153.59 (E(f37(x101461,x101462,x101463,x101464,x101465,x101466,x101467,x101468,x101469,a25),x101462)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(10149,plain, % 153.91/153.59 (E(f37(x101491,x101492,x101493,x101494,x101495,x101496,x101497,x101498,x101499,a25),x101492)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(10164,plain, % 153.91/153.59 (~E(f327(a111,x101641),x101641)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(10177,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x101771),x101771))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(10182,plain, % 153.91/153.59 (~E(f327(f327(f327(f76(x101821,f838(x101822)),x101823),x101824),f327(f222(x101822),x101825)),f327(f18(f838(x101822),x101821),f179(x101822)))), % 153.91/153.59 inference(rename_variables,[],[4408])). % 153.91/153.59 cnf(10186,plain, % 153.91/153.59 (E(f327(f327(f84(a834),x101861),f602(x101861,x101861)),x101861)), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,4300,9980,9983,9993,10004,10015,10116,10119,10122,2964,3022,2988,2971,3058,4408,4334,3019,3897,4416,3041,3191,10127,10130,3109,4388,10018,10021,3557,3705,3151,3153,3126,4385,4328,3847,3123,10139,4384,10086,3218,3637,3575,10089,4397,10040,3942,4395,4376,3102,4380,4411,10009,4414,3598,4412,10062,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293])). % 153.91/153.59 cnf(10211,plain, % 153.91/153.59 (~E(f327(f327(f136(x102111),x102112),x102113),x102113)), % 153.91/153.59 inference(rename_variables,[],[4334])). % 153.91/153.59 cnf(10214,plain, % 153.91/153.59 (~E(f327(a111,x102141),f2(a834))), % 153.91/153.59 inference(rename_variables,[],[4312])). % 153.91/153.59 cnf(10227,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x102271),x102271))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(10230,plain, % 153.91/153.59 (~E(f327(a111,x102301),x102301)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(10237,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x102371),x102371))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(10248,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x102481),f327(a111,x102481)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(10253,plain, % 153.91/153.59 (E(f327(f327(f122(x102531),f112(x102531)),x102532),x102532)), % 153.91/153.59 inference(rename_variables,[],[3078])). % 153.91/153.59 cnf(10271,plain, % 153.91/153.59 (~P134(f327(f67(x102711,x102712,f176(f841(x102711,a831))),x102713))), % 153.91/153.59 inference(rename_variables,[],[4411])). % 153.91/153.59 cnf(10290,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x102901),x102901))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(10308,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),f2(a834)),f500(f327(a111,x103081),x103081)))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,4312,2964,3022,2988,2971,3058,3078,10253,4408,4334,10043,3019,3897,4416,3041,3481,3191,10127,10130,10248,3109,4388,10018,10021,10049,4404,3557,3705,3151,3153,3126,4385,4328,3847,3123,10139,10237,3124,4384,10086,10177,3218,3637,3575,10089,4397,10040,3942,4395,4376,4379,3102,3103,4380,4411,10009,10012,4414,3598,4412,10062,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676])). % 153.91/153.59 cnf(10311,plain, % 153.91/153.59 (~E(f327(a111,x103111),f2(a834))), % 153.91/153.59 inference(rename_variables,[],[4312])). % 153.91/153.59 cnf(10320,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x103201),x103201))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(10325,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x103251),f327(a111,x103251)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(10337,plain, % 153.91/153.59 (~E(f327(f151(x103371),f327(a111,f327(f327(f122(x103371),f327(f151(x103371),x103372)),f327(f327(f136(x103371),x103373),f112(x103371))))),f327(f327(f136(x103371),x103373),x103372))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,4312,10214,2964,3022,2988,2971,3058,3078,10253,4408,4334,10043,3019,3897,4416,3041,3481,3191,10127,10130,10248,10325,3109,4388,10018,10021,10049,4404,3557,3705,3151,3153,3126,4385,4328,3847,3123,10139,10237,3124,4384,10086,10177,10290,3218,3637,3575,10089,4397,10040,3942,4395,4376,4379,3102,3103,4380,4411,10009,10012,4414,3598,4412,10062,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855])). % 153.91/153.59 cnf(10338,plain, % 153.91/153.59 (~E(f327(a111,x103381),x103381)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(10352,plain, % 153.91/153.59 (P134(f327(f327(f228(a98),f327(a5,x103521)),f327(a5,f327(a111,x103521))))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,4312,10214,2964,3022,2988,2971,3058,3078,10253,4408,4334,10043,3019,3897,4416,3041,3481,3191,10127,10130,10248,10325,3570,3109,4388,10018,10021,10049,4404,3557,3705,3151,3153,3126,4385,4328,3847,3123,10139,10237,3124,4384,10086,10177,10290,3218,3637,3575,10089,4397,10040,3942,4395,4376,4379,3102,3103,4380,4411,10009,10012,4414,3598,4412,10062,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938])). % 153.91/153.59 cnf(10363,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x103631),x103631))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(10366,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x103661),f327(a111,f327(f327(f84(a834),x103662),x103661))))), % 153.91/153.59 inference(rename_variables,[],[3568])). % 153.91/153.59 cnf(10369,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x103691),f327(f327(f85(a834),x103691),x103691)))), % 153.91/153.59 inference(rename_variables,[],[3392])). % 153.91/153.59 cnf(10371,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x103711),f327(f327(f85(a834),f327(a111,x103711)),f327(a111,x103711))))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,4312,10214,2964,3022,2988,2971,3058,3078,10253,4408,4334,10043,3019,3897,4416,3041,3481,3191,10127,10130,10248,10325,3570,3109,4388,10018,10021,10049,4404,3557,3705,3151,3153,3126,4385,4328,3847,3123,10139,10237,3124,4384,10086,10177,10290,3218,3637,3575,10089,4397,10040,3942,4395,4376,4379,3102,3103,4380,4411,10009,10012,3392,10369,4414,3598,4412,10062,3568,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964])). % 153.91/153.59 cnf(10372,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x103721),f327(f327(f85(a834),x103721),x103721)))), % 153.91/153.59 inference(rename_variables,[],[3392])). % 153.91/153.59 cnf(10377,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x103771),f327(a111,x103771)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(10380,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x103801),f327(a111,x103801)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(10383,plain, % 153.91/153.59 (P134(f327(f327(f329(x103831),x103832),f234(f841(x103831,a831))))), % 153.91/153.59 inference(rename_variables,[],[3279])). % 153.91/153.59 cnf(10396,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),f327(f327(f84(a834),x103961),x103962)),x103962))), % 153.91/153.59 inference(rename_variables,[],[4412])). % 153.91/153.59 cnf(10399,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),f327(f327(f84(a834),x103991),x103992)),x103992))), % 153.91/153.59 inference(rename_variables,[],[4412])). % 153.91/153.59 cnf(10402,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x104021)),x104021))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(10405,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x104051)),x104051))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(10408,plain, % 153.91/153.59 (P134(f327(f234(f841(x104081,a831)),x104082))), % 153.91/153.59 inference(rename_variables,[],[3185])). % 153.91/153.59 cnf(10411,plain, % 153.91/153.59 (E(f327(f43(a834),f327(f252(a834),x104111)),x104111)), % 153.91/153.59 inference(rename_variables,[],[3019])). % 153.91/153.59 cnf(10414,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x104141),f327(a111,x104141)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(10421,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x104211),x104211))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(10426,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x104261),x104261))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(10435,plain, % 153.91/153.59 (E(f37(x104351,x104352,x104353,x104354,x104355,x104356,x104357,x104358,x104359,a25),x104352)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(10438,plain, % 153.91/153.59 (P134(f327(f234(f841(x104381,a831)),x104382))), % 153.91/153.59 inference(rename_variables,[],[3185])). % 153.91/153.59 cnf(10440,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(f327(f85(a834),f327(a111,x104401)),f327(a111,x104401))),x104401))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,4312,10214,2964,3022,2988,2971,3058,3078,10253,4408,4334,10043,3019,10108,3897,4416,3041,3481,3426,3191,10127,10130,10248,10325,10377,10380,3570,3109,4388,10018,10021,10049,4404,3557,3333,3705,3151,3153,3126,4385,4328,3847,3123,10139,10237,10363,3124,10227,4384,10086,10177,10290,3279,3185,10408,3218,3637,3575,10089,4397,10040,10402,3942,4395,4376,4379,3102,3103,4380,4411,10009,10012,3392,10369,10372,4414,3598,4412,10062,10065,10396,3568,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184])). % 153.91/153.59 cnf(10441,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x104411),f327(f327(f85(a834),x104411),x104411)))), % 153.91/153.59 inference(rename_variables,[],[3392])). % 153.91/153.59 cnf(10447,plain, % 153.91/153.59 (E(f327(f151(x104471),f37(x104472,f327(f327(f122(x104471),f327(f151(x104471),x104473)),f327(f327(f136(x104471),x104474),f112(x104471))),x104475,x104476,x104477,x104478,x104479,x1044710,x1044711,a25)),f327(f327(f136(x104471),x104474),x104473))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,4312,10214,2964,3022,2988,2971,3058,3078,10253,4408,4334,10043,3019,10108,3897,4416,3041,3481,3426,3191,10127,10130,10248,10325,10377,10380,3570,3109,4388,10018,10021,10049,4404,3557,3333,3705,3151,3153,3126,4385,4328,3847,3123,10139,10237,10363,3124,10227,4384,10086,10177,10290,3279,3185,10408,3218,3637,3575,10089,4397,10040,10402,3942,4395,4376,4379,3102,3103,4380,4411,10009,10012,3392,10369,10372,4414,3598,4412,10062,10065,10396,3568,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227])). % 153.91/153.59 cnf(10448,plain, % 153.91/153.59 (E(f37(x104481,x104482,x104483,x104484,x104485,x104486,x104487,x104488,x104489,a25),x104482)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(10454,plain, % 153.91/153.59 (~P134(f327(f327(f228(a98),f327(a5,x104541)),f327(a5,f2(a834))))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,4312,10214,2964,3022,2988,2971,3058,3078,10253,4408,4334,10043,3019,10108,3897,4416,3041,3481,3426,3191,10127,10130,10248,10325,10377,10380,10414,3570,3109,4388,10018,10021,10049,4404,3557,3333,3705,3151,3153,3126,4385,4328,3847,3123,10139,10237,10363,3124,10227,4384,10086,10177,10290,3279,3185,10408,3218,3637,3575,10089,4397,10040,10402,3942,4395,4376,4379,3102,3103,4380,4411,10009,10012,3392,10369,10372,4414,3598,4412,10062,10065,10396,3568,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233])). % 153.91/153.59 cnf(10456,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),f327(a104,a87)),f327(a104,a96)))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,4312,10214,2964,3022,2988,2971,3058,3078,10253,4408,4334,10043,3019,10108,3897,4416,3041,3481,3426,3191,10127,10130,10248,10325,10377,10380,10414,3570,3109,4388,10018,10021,10049,4404,3557,3333,3705,3151,3153,3126,4385,4328,3847,3123,10139,10237,10363,3124,10227,4384,10086,10177,10290,3279,3185,10408,3218,3637,3575,10089,4397,10040,10402,3942,4395,4376,4379,3102,3103,4378,4380,4411,10009,10012,3392,10369,10372,4414,3598,4412,10062,10065,10396,3568,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234])). % 153.91/153.59 cnf(10460,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,f327(a111,f327(f327(f84(a834),x104601),x104602)))),f327(a111,x104602)))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,4312,10214,2964,3022,2988,2971,3058,3078,10253,4408,4334,10043,3019,10108,3897,4416,3041,3481,3426,3191,10127,10130,10248,10325,10377,10380,10414,3570,3109,4388,10018,10021,10049,4404,3557,3333,3705,3151,3153,3126,4385,4328,3847,3123,10139,10237,10363,3124,10227,4384,10086,10177,10290,3279,3185,10408,3218,3637,3575,10089,4397,10040,10402,3942,4395,4376,4379,3102,3103,4378,4380,4411,10009,10012,3392,10369,10372,4414,3598,4412,10062,10065,10396,3568,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236])). % 153.91/153.59 cnf(10483,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x104831),x104831))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(10494,plain, % 153.91/153.59 (~E(f327(f327(f136(x104941),x104942),x104943),x104943)), % 153.91/153.59 inference(rename_variables,[],[4334])). % 153.91/153.59 cnf(10497,plain, % 153.91/153.59 (~P134(f327(f327(f176(f841(x104971,f841(x104972,a831))),x104973),x104974))), % 153.91/153.59 inference(rename_variables,[],[4415])). % 153.91/153.59 cnf(10504,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x105041),f327(a111,x105041)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(10507,plain, % 153.91/153.59 (E(f327(f327(f84(a834),x105071),x105072),f327(f327(f84(a834),x105072),x105071))), % 153.91/153.59 inference(rename_variables,[],[3111])). % 153.91/153.59 cnf(10509,plain, % 153.91/153.59 (P134(f327(f327(f228(a1),f327(f327(f3(a1),x105091),f82(a1))),x105091))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,4312,10214,2964,3022,2988,2971,3058,3078,10253,4408,4334,10043,10211,3111,3019,10108,3897,3751,4416,3041,3481,3426,3191,10127,10130,10248,10325,10377,10380,10414,3570,3109,4388,10018,10021,10049,4404,3557,3333,3705,3151,3153,3126,4385,4328,3847,3123,10139,10237,10363,10421,10483,3124,10227,10426,4384,10086,10177,10290,3279,4400,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,3942,4395,4376,4379,3102,3103,4378,4380,4411,10009,10012,3392,10369,10372,4414,4415,3598,4412,10062,10065,10396,3568,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502])). % 153.91/153.59 cnf(10510,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x105101),x105101))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(10515,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x105151),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(10530,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x105301),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(10533,plain, % 153.91/153.59 (~P134(f327(f327(f228(f841(x105331,a831)),x105332),f176(f841(x105331,a831))))), % 153.91/153.59 inference(rename_variables,[],[4409])). % 153.91/153.59 cnf(10536,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x105361),x105361))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(10539,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x105391),x105391))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(10553,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x105531),f327(f327(f3(a834),x105531),x105532)))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,4312,10214,2964,3022,2988,2971,3058,3078,10253,4408,4334,10043,10211,3111,3019,10108,3897,3751,4416,3041,3481,3426,3191,10127,10130,10248,10325,10377,10380,10414,3570,3109,4388,10018,10021,10049,10515,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3847,4409,3123,10139,10237,10363,10421,10483,10536,10539,3124,10227,10426,3125,4384,10086,10177,10290,10320,3279,4400,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,3942,4395,4376,4379,3102,3103,4378,4380,4411,10009,10012,3392,10369,10372,4414,4415,3598,4412,10062,10065,10396,3568,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671])). % 153.91/153.59 cnf(10554,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x105541),x105541))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(10563,plain, % 153.91/153.59 (~P134(f327(f327(f329(x105631),x105632),f176(f841(x105631,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(10572,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x105721),x105721))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(10575,plain, % 153.91/153.59 (P134(f327(f327(f274(a834),x105751),x105751))), % 153.91/153.59 inference(rename_variables,[],[3125])). % 153.91/153.59 cnf(10578,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x105781,a831)),f327(f298(x105782,x105781,x105783),f327(f300(x105782,x105781,x105783),x105784))),x105784))), % 153.91/153.59 inference(rename_variables,[],[4002])). % 153.91/153.59 cnf(10585,plain, % 153.91/153.59 (E(f327(f298(x105851,x105851,f7(x105851)),x105852),x105852)), % 153.91/153.59 inference(rename_variables,[],[3181])). % 153.91/153.59 cnf(10590,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),f2(a834)),x105901))), % 153.91/153.59 inference(rename_variables,[],[3145])). % 153.91/153.59 cnf(10593,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x105931),x105931))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(10596,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x105961),x105961))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(10603,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x106031),x106031))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(10614,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x106141),f327(a111,f327(f327(f84(a834),x106142),x106141))))), % 153.91/153.59 inference(rename_variables,[],[3568])). % 153.91/153.59 cnf(10617,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x106171),f327(f327(f85(a834),x106171),x106171)))), % 153.91/153.59 inference(rename_variables,[],[3392])). % 153.91/153.59 cnf(10627,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x106271),x106271))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(10630,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x106301),x106301))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(10632,plain, % 153.91/153.59 (~E(f327(f77(x106321,x106322,x106323,a111),x106324),x106324)), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,4312,10214,2964,3022,2988,2971,3181,3058,3078,10253,4408,4334,10043,10211,3111,3019,10108,3897,3751,4416,3041,3321,3481,3426,3191,10127,10130,10248,10325,10377,10380,10414,10504,3570,3109,4388,10018,10021,10049,10515,10530,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3847,4409,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,3124,10227,10426,10510,3125,4384,10086,10177,10290,10320,10554,10596,3279,4400,10563,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,3145,3942,4395,4376,4379,3102,3103,4378,4380,4411,10009,10012,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338])). % 153.91/153.59 cnf(10633,plain, % 153.91/153.59 (~E(f327(a111,x106331),x106331)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(10638,plain, % 153.91/153.59 (P134(f327(f327(f274(a834),x106381),x106381))), % 153.91/153.59 inference(rename_variables,[],[3125])). % 153.91/153.59 cnf(10641,plain, % 153.91/153.59 (P134(f327(f327(f329(x106411),x106412),f234(f841(x106411,a831))))), % 153.91/153.59 inference(rename_variables,[],[3279])). % 153.91/153.59 cnf(10646,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x106461),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(10648,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x106481,a831)),x106482),f45(f841(x106481,a831),f327(f296(x106481),x106482))))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,4312,10214,2964,3022,2988,2971,3181,3058,3078,10253,4408,4334,10043,10211,3111,3019,10108,3897,3751,4416,3041,3321,3481,3426,3191,10127,10130,10248,10325,10377,10380,10414,10504,3570,3109,4388,10018,10021,10049,10515,10530,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3482,3847,4409,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,4400,10563,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,3145,3942,4395,4376,4379,3102,3103,4378,4380,4411,10009,10012,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409])). % 153.91/153.59 cnf(10650,plain, % 153.91/153.59 (~P38(f26(x106501),x106502,f2(a834),x106503)), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,4312,10214,10311,2964,3022,2988,2971,3181,3058,3078,10253,4408,4334,10043,10211,3111,3019,10108,3897,3751,4416,3041,3321,3481,3426,3191,10127,10130,10248,10325,10377,10380,10414,10504,3570,3109,4388,10018,10021,10049,10515,10530,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3482,3847,4409,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,4400,10563,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,3145,3942,4395,4376,4379,3102,3103,4378,4380,4411,10009,10012,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445])). % 153.91/153.59 cnf(10651,plain, % 153.91/153.59 (~E(f327(a111,x106511),f2(a834))), % 153.91/153.59 inference(rename_variables,[],[4312])). % 153.91/153.59 cnf(10664,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),f2(a834)),x106641))), % 153.91/153.59 inference(rename_variables,[],[3145])). % 153.91/153.59 cnf(10671,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x106711),x106711))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(10678,plain, % 153.91/153.59 (~P134(f327(f327(f329(x106781),x106782),f176(f841(x106781,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(10680,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x106801,a831)),f46(f841(x106801,a831),f327(f296(x106801),x106802))),x106802))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,4312,10214,10311,2964,3022,2988,2971,3181,3058,3078,10253,4408,4334,10043,10211,3111,3019,10108,3897,3751,4416,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,3570,3109,4388,10018,10021,10049,10515,10530,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3482,3847,4409,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,10641,4400,10563,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,3145,10590,3942,4395,3645,4376,4379,3102,3103,4378,4380,4411,10009,10012,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687])). % 153.91/153.59 cnf(10682,plain, % 153.91/153.59 (E(f327(f327(f101(f841(x106821,a831)),f327(f327(f101(f841(x106821,a831)),x106822),f327(f83(f841(x106821,a831)),x106823))),x106823),f176(f841(x106821,a831)))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,4312,10214,10311,2964,3022,2988,2971,3181,3058,3078,10253,4408,4334,10043,10211,3111,3019,10108,3897,3751,4416,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,3570,3109,4388,10018,10021,10049,10515,10530,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3482,3847,4409,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,10641,4400,10563,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,3145,10590,3942,4395,3645,4376,4379,3102,3103,4378,4380,4411,10009,10012,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689])). % 153.91/153.59 cnf(10685,plain, % 153.91/153.59 (P134(f327(f327(f329(f835(x106851)),x106852),f144(x106851,f234(f841(x106851,a831)))))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,4312,10214,10311,2964,3022,2988,2971,3181,3058,3078,10253,4408,4334,10043,10211,3111,3019,10108,3897,3751,4416,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,3570,3109,4388,10018,10021,10049,10515,10530,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3482,3847,4409,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,10641,4400,10563,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,3145,10590,3942,4395,3645,4376,4379,3102,3103,4378,4380,4411,10009,10012,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697])). % 153.91/153.59 cnf(10686,plain, % 153.91/153.59 (P134(f327(f327(f329(x106861),x106862),f234(f841(x106861,a831))))), % 153.91/153.59 inference(rename_variables,[],[3279])). % 153.91/153.59 cnf(10689,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x106891),f835(x106891))),f327(f327(f236(f835(x106891),f835(x106891)),x106892),f112(x106891))),f131(x106891,x106893)))), % 153.91/153.59 inference(rename_variables,[],[4416])). % 153.91/153.59 cnf(10695,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(x106951,x106951)),x106952),f255(x106951,f176(f841(x106951,a831)))))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,4312,10214,10311,2964,3022,2988,2971,3181,3058,3078,10253,4408,4334,10043,10211,3111,3019,10108,3897,3751,4416,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,3570,3109,4388,10018,10021,10049,10515,10530,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3482,3847,4409,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,10641,4400,10563,10678,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,3145,10590,3942,4395,3645,4376,4379,3102,3103,4378,4380,4411,10009,10012,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834])). % 153.91/153.59 cnf(10696,plain, % 153.91/153.59 (~P134(f327(f327(f329(x106961),x106962),f176(f841(x106961,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(10698,plain, % 153.91/153.59 (~P134(f327(f327(f329(x106981),x106982),f327(f300(x106981,x106983,x106984),f176(f841(x106983,a831)))))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,4312,10214,10311,2964,3022,2988,2971,3181,3058,3078,10253,4408,4334,10043,10211,3111,3019,10108,3897,3751,4416,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,3570,3109,4388,10018,10021,10049,10515,10530,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3482,3847,4409,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,10641,4400,10563,10678,10696,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,3145,10590,3942,4395,3645,4376,4379,3102,3103,4378,4380,4411,10009,10012,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866])). % 153.91/153.59 cnf(10699,plain, % 153.91/153.59 (~P134(f327(f327(f329(x106991),x106992),f176(f841(x106991,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(10702,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x107021,a831)),x107022),f327(f327(f297(x107021),x107023),x107022)))), % 153.91/153.59 inference(rename_variables,[],[3565])). % 153.91/153.59 cnf(10705,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x107051),x107051))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(10708,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x107081,a831)),x107082),f327(f327(f297(x107081),x107083),x107082)))), % 153.91/153.59 inference(rename_variables,[],[3565])). % 153.91/153.59 cnf(10719,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x107191,a831)),x107192),f327(f327(f297(x107191),x107193),x107192)))), % 153.91/153.59 inference(rename_variables,[],[3565])). % 153.91/153.59 cnf(10724,plain, % 153.91/153.59 (~P134(f327(f67(x107241,x107242,f176(f841(x107241,a831))),x107243))), % 153.91/153.59 inference(rename_variables,[],[4411])). % 153.91/153.59 cnf(10728,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(a834,a834)),f327(f327(f236(a834,a834),f327(a111,x107281)),x107281)),f295(a834,a318)))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,4312,10214,10311,2964,3022,2988,2971,3181,3058,3078,10253,4408,4334,10043,10211,3111,3019,10108,3897,3751,4416,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,3570,3109,4388,10018,10021,10049,10515,10530,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3482,3847,4409,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,10641,10686,4400,10563,10678,10696,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278])). % 153.91/153.59 cnf(10737,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x107371),f327(a111,x107371)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(10747,plain, % 153.91/153.59 (~E(f327(f308(x107471,x107472),x107473),f327(f299(x107472,x107471),x107474))), % 153.91/153.59 inference(rename_variables,[],[4373])). % 153.91/153.59 cnf(10750,plain, % 153.91/153.59 (~P134(f327(f327(f329(x107501),x107502),f176(f841(x107501,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(10753,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(x107531,x107531)),f327(f327(f236(x107531,x107531),x107532),x107532)),f295(x107531,x107533)))), % 153.91/153.59 inference(rename_variables,[],[3751])). % 153.91/153.59 cnf(10756,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x107561,a831)),f327(f154(x107561),f152(x107561,x107562,x107563))),f327(f154(x107561),x107563)))), % 153.91/153.59 inference(rename_variables,[],[3808])). % 153.91/153.59 cnf(10759,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x107591,a831)),x107592),f234(f841(x107591,a831))))), % 153.91/153.59 inference(rename_variables,[],[3498])). % 153.91/153.59 cnf(10766,plain, % 153.91/153.59 (~E(f327(a111,x107661),x107661)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(10782,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x107821,a831)),f176(f841(x107821,a831))),x107822))), % 153.91/153.59 inference(rename_variables,[],[3567])). % 153.91/153.59 cnf(10793,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x107931),f835(x107931))),f327(f327(f236(f835(x107931),f835(x107931)),x107932),f112(x107931))),f133(x107931,x107933)))), % 153.91/153.59 inference(rename_variables,[],[4417])). % 153.91/153.59 cnf(10801,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(f835(x108011),f835(x108011))),f327(f327(f236(f835(x108011),f835(x108011)),f112(x108011)),f112(x108011))),f327(f327(f276(f835(x108011),f835(x108011),f835(x108011)),f142(x108011,x108012)),f295(f835(x108011),f142(x108011,x108012)))))), % 153.91/153.59 inference(scs_inference,[],[4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,4312,10214,10311,3578,2964,4373,3022,2988,2971,3181,3058,3078,10253,4408,3750,4334,10043,10211,3111,3019,10108,3897,3751,10753,4416,10689,4417,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,3570,3109,4388,10018,10021,10049,10515,10530,10646,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3808,3482,3847,3498,4409,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,10641,10686,4400,10563,10678,10696,10699,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3567,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492])). % 153.91/153.59 cnf(10804,plain, % 153.91/153.59 (~E(f327(a111,x108041),f2(a834))), % 153.91/153.59 inference(rename_variables,[],[4312])). % 153.91/153.59 cnf(10811,plain, % 153.91/153.59 (P28(x108111,x108111,f7(x108111),x108112)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(10816,plain, % 153.91/153.59 (~E(f327(f298(x108161,f841(x108161,a831),x108162),x108163),f327(f296(x108161),x108163))), % 153.91/153.59 inference(rename_variables,[],[4398])). % 153.91/153.59 cnf(10821,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x108211,a831)),x108212),f234(f841(x108211,a831))))), % 153.91/153.59 inference(rename_variables,[],[3498])). % 153.91/153.59 cnf(10828,plain, % 153.91/153.59 (P33(x108281,f327(f327(f275(a834,x108281),a232),x108282))), % 153.91/153.59 inference(rename_variables,[],[3228])). % 153.91/153.59 cnf(10835,plain, % 153.91/153.59 (~P134(f327(f327(f329(x108351),x108352),f176(f841(x108351,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(10838,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x108381)),x108381))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(10840,plain, % 153.91/153.59 (~E(f327(f327(f8(x108401,a834),f327(f3(a834),f2(a834))),x108402),f327(a111,x108403))), % 153.91/153.59 inference(scs_inference,[],[3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,4312,10214,10311,10651,3578,2964,4373,3022,2988,2971,3181,3058,3078,10253,4408,3750,4334,10043,10211,4398,3111,3228,3019,10108,3897,3751,10753,4416,10689,4417,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3808,3482,3847,3498,10759,4409,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,10641,10686,4400,10563,10678,10696,10699,10750,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3567,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658])). % 153.91/153.59 cnf(10845,plain, % 153.91/153.59 (~P134(f327(f327(f329(x108451),x108452),f176(f841(x108451,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(10853,plain, % 153.91/153.59 (~P134(f327(f327(f329(a834),f327(a111,f327(f128(a834,a834,f84(a834),f2(a834)),x108531))),f327(f154(a834),x108531)))), % 153.91/153.59 inference(scs_inference,[],[3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,4312,10214,10311,10651,3578,2964,4373,3022,2988,2971,3181,3058,3078,10253,4408,3750,4334,10043,10211,4398,3111,3228,3019,10108,3897,3751,10753,4416,10689,4417,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3808,3482,3847,3498,10759,4409,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,10641,10686,4400,10563,10678,10696,10699,10750,10835,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,10838,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3567,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696])). % 153.91/153.59 cnf(10854,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x108541)),x108541))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(10857,plain, % 153.91/153.59 (~P134(f327(f327(f329(x108571),x108572),f176(f841(x108571,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(10865,plain, % 153.91/153.59 (E(f327(x108651,f689(f327(x108651,x108652),f327(f222(x108653),x108652),x108651,x108654,x108653)),f327(x108651,x108652))), % 153.91/153.59 inference(scs_inference,[],[3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,4312,10214,10311,10651,3578,2964,4373,3022,2988,2971,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,4398,3111,3228,3019,10108,3897,3751,10753,4416,10689,4417,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3808,3482,3847,3498,10759,4409,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,10641,10686,4400,10563,10678,10696,10699,10750,10835,10845,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,10838,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3567,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756])). % 153.91/153.59 cnf(10872,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(x108721,x108721)),f327(f327(f236(x108721,x108721),x108722),x108722)),f295(x108721,x108723)))), % 153.91/153.59 inference(rename_variables,[],[3751])). % 153.91/153.59 cnf(10879,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x108791),f835(x108791))),f327(f327(f236(f835(x108791),f835(x108791)),x108792),f112(x108791))),f131(x108791,x108793)))), % 153.91/153.59 inference(rename_variables,[],[4416])). % 153.91/153.59 cnf(10882,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x108821),f835(x108821))),f327(f327(f236(f835(x108821),f835(x108821)),x108822),f112(x108821))),f133(x108821,x108823)))), % 153.91/153.59 inference(rename_variables,[],[4417])). % 153.91/153.59 cnf(10885,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x108851),f835(x108851))),f327(f327(f236(f835(x108851),f835(x108851)),x108852),f112(x108851))),f141(x108851,x108853)))), % 153.91/153.59 inference(rename_variables,[],[4418])). % 153.91/153.59 cnf(10887,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x108871),f835(x108871))),f327(f327(f236(f835(x108871),f835(x108871)),f112(x108871)),x108872)),f327(f273(f835(x108871),f835(x108871)),f131(x108871,x108873))))), % 153.91/153.59 inference(scs_inference,[],[3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,4312,10214,10311,10651,3578,2964,4373,3022,2988,2971,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,4398,3111,3228,3019,10108,3897,3751,10753,4416,10689,10879,4417,10793,4418,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3808,3482,3847,3498,10759,4409,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,10641,10686,4400,10563,10678,10696,10699,10750,10835,10845,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,10838,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3567,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881])). % 153.91/153.59 cnf(10890,plain, % 153.91/153.59 (~P134(f327(f327(f228(f841(x108901,a831)),x108902),f176(f841(x108901,a831))))), % 153.91/153.59 inference(rename_variables,[],[4409])). % 153.91/153.59 cnf(10892,plain, % 153.91/153.59 (~P134(f327(f327(f329(x108921),x108922),f327(f298(x108923,x108921,x108924),f176(f841(x108923,a831)))))), % 153.91/153.59 inference(scs_inference,[],[3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,4312,10214,10311,10651,3578,2964,4373,3022,2988,2971,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,4398,3111,3228,3019,10108,3897,3751,10753,4416,10689,10879,4417,10793,4418,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3808,3482,3847,3498,10759,4409,10533,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,10641,10686,4400,10563,10678,10696,10699,10750,10835,10845,10857,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,10838,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3567,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901])). % 153.91/153.59 cnf(10893,plain, % 153.91/153.59 (~P134(f327(f327(f329(x108931),x108932),f176(f841(x108931,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(10899,plain, % 153.91/153.59 (~P38(f36(f36(f26(x108991),x108992),x108993),x108994,f2(a834),x108995)), % 153.91/153.59 inference(scs_inference,[],[3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,4312,10214,10311,10651,3578,2964,4373,3022,2988,2971,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,4398,3111,3228,3019,10108,3897,3751,10753,4416,10689,10879,4417,10793,4418,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3808,3482,3847,3498,10759,4409,10533,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,10641,10686,4400,10563,10678,10696,10699,10750,10835,10845,10857,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,10838,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3567,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930])). % 153.91/153.59 cnf(10905,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x109051,a831)),x109052),f327(f327(f100(f841(x109051,a831)),x109053),f234(f841(x109051,a831)))))), % 153.91/153.59 inference(scs_inference,[],[3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,4312,10214,10311,10651,3578,2964,4373,3022,2988,2971,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,4398,3111,3228,3019,10108,3897,3751,10753,4416,10689,10879,4417,10793,4418,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3808,3482,3847,3498,10759,10821,4409,10533,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,3279,10383,10641,10686,4400,10563,10678,10696,10699,10750,10835,10845,10857,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,10838,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3567,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935])). % 153.91/153.59 cnf(10906,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x109061,a831)),x109062),f234(f841(x109061,a831))))), % 153.91/153.59 inference(rename_variables,[],[3498])). % 153.91/153.59 cnf(10913,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x109131),x109131))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(10918,plain, % 153.91/153.59 (~P134(f327(f327(f329(x109181),x109182),f176(f841(x109181,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(10921,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x109211,a831)),x109212),x109212))), % 153.91/153.59 inference(rename_variables,[],[3420])). % 153.91/153.59 cnf(10924,plain, % 153.91/153.59 (E(f314(x109241,x109242,x109243,f327(f327(f10(f842(x109241,x109243),x109242,x109241),x109244),f299(x109241,x109243)),f327(f327(f10(f842(x109241,x109243),x109242,x109243),x109244),f308(x109243,x109241))),x109244)), % 153.91/153.59 inference(rename_variables,[],[3982])). % 153.91/153.59 cnf(10930,plain, % 153.91/153.59 (~P134(f327(f327(f329(x109301),x109302),f176(f841(x109301,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(10933,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x109331,a831)),f176(f841(x109331,a831))),x109332))), % 153.91/153.59 inference(rename_variables,[],[3567])). % 153.91/153.59 cnf(10936,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(x109361,x109361)),f327(f327(f236(x109361,x109361),x109362),x109362)),f295(x109361,x109363)))), % 153.91/153.59 inference(rename_variables,[],[3751])). % 153.91/153.59 cnf(10938,plain, % 153.91/153.59 (~E(f327(f327(f101(f841(f840(f835(x109381),f835(x109381)),a831)),f327(f273(f835(x109381),f835(x109381)),f142(x109381,x109382))),f295(f835(x109381),f142(x109381,x109382))),f176(f841(f840(f835(x109381),f835(x109381)),a831)))), % 153.91/153.59 inference(scs_inference,[],[3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,4312,10214,10311,10651,3578,2964,4373,3022,2988,2971,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,4398,3111,3228,3019,10108,3897,3751,10753,10872,4416,10689,10879,4417,10793,4418,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3808,3482,3847,3498,10759,10821,4409,10533,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,10603,3279,10383,10641,10686,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,10838,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3420,3567,10782,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110])). % 153.91/153.59 cnf(10942,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x109421),f835(x109421))),f327(f327(f236(f835(x109421),f835(x109421)),x109422),f112(x109421))),f327(f273(f835(x109421),f835(x109421)),f141(x109421,x109423))))), % 153.91/153.59 inference(scs_inference,[],[3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,4312,10214,10311,10651,3578,2964,4373,3022,2988,2971,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,4398,3111,3228,3019,10108,3897,3751,10753,10872,4416,10689,10879,4417,10793,4418,10885,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3808,3482,3847,3498,10759,10821,4409,10533,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,10603,3279,10383,10641,10686,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,10838,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3420,3567,10782,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193])). % 153.91/153.59 cnf(10943,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x109431),f835(x109431))),f327(f327(f236(f835(x109431),f835(x109431)),x109432),f112(x109431))),f141(x109431,x109433)))), % 153.91/153.59 inference(rename_variables,[],[4418])). % 153.91/153.59 cnf(10946,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x109461),f835(x109461))),f327(f327(f236(f835(x109461),f835(x109461)),f112(x109461)),x109462)),f131(x109461,x109463)))), % 153.91/153.59 inference(rename_variables,[],[4419])). % 153.91/153.59 cnf(10951,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f841(x109511,a831),f841(x109511,a831))),f327(f327(f236(f841(x109511,a831),f841(x109511,a831)),x109512),f176(f841(x109511,a831)))),f294(x109511)))), % 153.91/153.59 inference(scs_inference,[],[3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,4312,10214,10311,10651,3578,2964,4373,3022,2988,2971,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,4398,3111,3228,3019,10108,3897,3751,10753,10872,4416,10689,10879,4417,10793,4418,10885,4419,4420,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3808,3482,3847,3498,10759,10821,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,10603,3279,10383,10641,10686,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,10838,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3420,3567,10782,3392,10369,10372,10441,10617,4414,4415,4002,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233])). % 153.91/153.59 cnf(10954,plain, % 153.91/153.59 (P134(f327(f327(f329(x109541),x109542),f234(f841(x109541,a831))))), % 153.91/153.59 inference(rename_variables,[],[3279])). % 153.91/153.59 cnf(10959,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x109591,a831)),f176(f841(x109591,a831))),x109592))), % 153.91/153.59 inference(rename_variables,[],[3567])). % 153.91/153.59 cnf(10962,plain, % 153.91/153.59 (~P134(f327(f327(f329(x109621),x109622),f176(f841(x109621,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(10965,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x109651,a831)),x109652),f234(f841(x109651,a831))))), % 153.91/153.59 inference(rename_variables,[],[3498])). % 153.91/153.59 cnf(10969,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x109691,a831)),f327(f272(x109692,x109691,x109693),f176(f841(x109692,a831)))),x109694))), % 153.91/153.59 inference(scs_inference,[],[3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,4312,10214,10311,10651,3578,2964,4373,3022,2988,2971,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,4398,3111,3228,3019,10108,3897,3751,10753,10872,4416,10689,10879,4417,10793,4418,10885,4419,4420,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,4404,3557,3333,3705,3151,3153,3126,4385,4328,3858,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,10603,3279,10383,10641,10686,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,3185,10408,3218,3637,3575,10089,4397,10040,10402,10405,10838,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,4415,4002,3902,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333])). % 153.91/153.59 cnf(10970,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x109701,a831)),f176(f841(x109701,a831))),x109702))), % 153.91/153.59 inference(rename_variables,[],[3567])). % 153.91/153.59 cnf(10985,plain, % 153.91/153.59 (P134(f327(f234(f841(x109851,a831)),x109852))), % 153.91/153.59 inference(rename_variables,[],[3185])). % 153.91/153.59 cnf(10993,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x109931),f835(x109931))),f327(f327(f236(f835(x109931),f835(x109931)),x109932),f112(x109931))),f131(x109931,x109933)))), % 153.91/153.59 inference(rename_variables,[],[4416])). % 153.91/153.59 cnf(10996,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x109961),f835(x109961))),f327(f327(f236(f835(x109961),f835(x109961)),x109962),f112(x109961))),f133(x109961,x109963)))), % 153.91/153.59 inference(rename_variables,[],[4417])). % 153.91/153.59 cnf(10999,plain, % 153.91/153.59 (~E(f327(f327(f136(x109991),x109992),x109993),x109993)), % 153.91/153.59 inference(rename_variables,[],[4334])). % 153.91/153.59 cnf(11002,plain, % 153.91/153.59 (~E(f327(a111,x110021),x110021)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11005,plain, % 153.91/153.59 (~P134(f327(f327(f329(x110051),x110052),f176(f841(x110051,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(11010,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(f835(x110101),f835(x110101))),f327(f327(f236(f835(x110101),f835(x110101)),x110102),x110102)),f142(x110101,f295(x110101,x110103))))), % 153.91/153.59 inference(rename_variables,[],[3891])). % 153.91/153.59 cnf(11013,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x110131),f835(x110131))),f327(f327(f236(f835(x110131),f835(x110131)),x110132),f112(x110131))),f131(x110131,x110133)))), % 153.91/153.59 inference(rename_variables,[],[4416])). % 153.91/153.59 cnf(11020,plain, % 153.91/153.59 (~P134(f327(f327(f329(x110201),x110202),f167(x110203,x110201,f168(x110203,x110201,x110204,f176(f841(x110203,a831))))))), % 153.91/153.59 inference(scs_inference,[],[3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,4312,10214,10311,10651,3578,2964,4373,3022,2988,2971,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,4398,3111,3228,3019,10108,3897,3751,10753,10872,4416,10689,10879,10993,4417,10793,10882,4418,10885,4419,10946,4420,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,4404,3557,3333,3705,3151,3153,3126,4385,4328,3891,11010,3858,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,4384,10086,10177,10290,10320,10554,10596,10603,3279,10383,10641,10686,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,3185,10408,10438,3218,3637,3575,10089,4397,10040,10402,10405,10838,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,4415,4002,3902,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535])). % 153.91/153.59 cnf(11021,plain, % 153.91/153.59 (~P134(f327(f327(f329(x110211),x110212),f176(f841(x110211,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(11024,plain, % 153.91/153.59 (~P134(f327(f327(f329(x110241),x110242),f176(f841(x110241,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(11027,plain, % 153.91/153.59 (~P134(f327(f327(f329(x110271),x110272),f176(f841(x110271,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(11030,plain, % 153.91/153.59 (P134(f327(f327(f329(x110301),x110302),f234(f841(x110301,a831))))), % 153.91/153.59 inference(rename_variables,[],[3279])). % 153.91/153.59 cnf(11041,plain, % 153.91/153.59 (~E(f327(f308(x110411,x110412),x110413),f327(f299(x110412,x110411),x110414))), % 153.91/153.59 inference(rename_variables,[],[4373])). % 153.91/153.59 cnf(11044,plain, % 153.91/153.59 (~E(f327(f308(x110441,x110442),x110443),f327(f299(x110442,x110441),x110444))), % 153.91/153.59 inference(rename_variables,[],[4373])). % 153.91/153.59 cnf(11049,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x110491),f835(x110491))),f327(f327(f236(f835(x110491),f835(x110491)),x110492),f112(x110491))),f131(x110491,x110493)))), % 153.91/153.59 inference(rename_variables,[],[4416])). % 153.91/153.59 cnf(11052,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x110521),f835(x110521))),f327(f327(f236(f835(x110521),f835(x110521)),x110522),f112(x110521))),f133(x110521,x110523)))), % 153.91/153.59 inference(rename_variables,[],[4417])). % 153.91/153.59 cnf(11055,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x110551),f835(x110551))),f327(f327(f236(f835(x110551),f835(x110551)),x110552),f112(x110551))),f131(x110551,x110553)))), % 153.91/153.59 inference(rename_variables,[],[4416])). % 153.91/153.59 cnf(11058,plain, % 153.91/153.59 (~P134(f327(f327(f329(x110581),x110582),f176(f841(x110581,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(11061,plain, % 153.91/153.59 (~P134(f327(f327(f176(f841(x110611,f841(x110612,a831))),x110613),x110614))), % 153.91/153.59 inference(rename_variables,[],[4415])). % 153.91/153.59 cnf(11064,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x110641),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(11066,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(x110661,x110662)),f327(f327(f236(x110661,x110662),f327(x110663,x110664)),f327(x110665,x110664))),f327(f298(f840(x110666,x110666),f840(x110661,x110662),f247(x110666,x110661,x110666,x110662,x110663,x110665)),f295(x110666,x110667))))), % 153.91/153.59 inference(scs_inference,[],[3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,4312,10214,10311,10651,3578,2964,4373,10747,11041,3022,2988,2971,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,4398,3111,3228,3019,10108,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,4417,10793,10882,10996,4418,10885,4419,10946,4420,3041,3321,3481,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,4404,3557,3333,3705,3151,3153,3126,4385,4328,3891,11010,3858,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,3124,10227,10426,10510,3125,10575,10638,4384,10086,10177,10290,10320,10554,10596,10603,3279,10383,10641,10686,10954,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,3185,10408,10438,3218,3637,3575,10089,4397,10040,10402,10405,10838,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,4415,10497,4002,3902,3598,4412,10062,10065,10396,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830])). % 153.91/153.59 cnf(11069,plain, % 153.91/153.59 (~P134(f327(f327(f329(x110691),x110692),f176(f841(x110691,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(11072,plain, % 153.91/153.59 (~P134(f327(f327(f329(x110721),x110722),f176(f841(x110721,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(11075,plain, % 153.91/153.59 (P134(f327(f327(f329(x110751),f327(x110752,x110753)),f327(f298(x110754,x110751,x110752),f234(f841(x110754,a831)))))), % 153.91/153.59 inference(rename_variables,[],[3722])). % 153.91/153.59 cnf(11082,plain, % 153.91/153.59 (E(f37(x110821,x110822,x110823,x110824,x110825,x110826,x110827,x110828,x110829,a25),x110822)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11085,plain, % 153.91/153.59 (~E(f327(a111,x110851),x110851)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11092,plain, % 153.91/153.59 (~E(f327(a111,x110921),x110921)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11095,plain, % 153.91/153.59 (E(f37(x110951,x110952,x110953,x110954,x110955,x110956,x110957,x110958,x110959,a25),x110952)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11096,plain, % 153.91/153.59 (E(f38(x110961,x110962,x110963,x110964,x110965,x110966,x110967,x110968,x110969,a25),x110962)), % 153.91/153.59 inference(rename_variables,[],[4275])). % 153.91/153.59 cnf(11099,plain, % 153.91/153.59 (E(f37(x110991,x110992,x110993,x110994,x110995,x110996,x110997,x110998,x110999,a25),x110992)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11106,plain, % 153.91/153.59 (~E(f327(a111,x111061),x111061)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11111,plain, % 153.91/153.59 (~E(f327(f327(f84(a1),x111111),x111111),a96)), % 153.91/153.59 inference(rename_variables,[],[4331])). % 153.91/153.59 cnf(11120,plain, % 153.91/153.59 (E(f327(f327(f3(a834),f2(a834)),x111201),f2(a834))), % 153.91/153.59 inference(rename_variables,[],[3044])). % 153.91/153.59 cnf(11123,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x111231),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(11128,plain, % 153.91/153.59 (E(f37(x111281,x111282,x111283,x111284,x111285,x111286,x111287,x111288,x111289,a25),x111282)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11131,plain, % 153.91/153.59 (E(f327(f327(f84(a1),f327(f327(f85(a1),x111311),f327(f327(f44(a1),x111312),x111311))),f53(a1,x111312,x111311)),x111312)), % 153.91/153.59 inference(rename_variables,[],[3670])). % 153.91/153.59 cnf(11143,plain, % 153.91/153.59 (E(f37(x111431,x111432,x111433,x111434,x111435,x111436,x111437,x111438,x111439,a25),x111432)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11146,plain, % 153.91/153.59 (E(f37(x111461,x111462,x111463,x111464,x111465,x111466,x111467,x111468,x111469,a25),x111462)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11149,plain, % 153.91/153.59 (E(f37(x111491,x111492,x111493,x111494,x111495,x111496,x111497,x111498,x111499,a25),x111492)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11152,plain, % 153.91/153.59 (E(f37(x111521,x111522,x111523,x111524,x111525,x111526,x111527,x111528,x111529,a25),x111522)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11157,plain, % 153.91/153.59 (~E(f327(a111,x111571),x111571)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11160,plain, % 153.91/153.59 (~E(f327(a111,x111601),x111601)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11164,plain, % 153.91/153.59 (E(f37(x111641,x111642,x111643,x111644,x111645,x111646,x111647,x111648,x111649,a25),x111642)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11189,plain, % 153.91/153.59 (P134(f327(f327(f329(x111891),x111892),f234(f841(x111891,a831))))), % 153.91/153.59 inference(rename_variables,[],[3279])). % 153.91/153.59 cnf(11197,plain, % 153.91/153.59 (E(f37(x111971,x111972,x111973,x111974,x111975,x111976,x111977,x111978,x111979,a25),x111972)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11202,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x112021),x112021))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(11209,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x112091),x112091))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11210,plain, % 153.91/153.59 (E(f37(x112101,x112102,x112103,x112104,x112105,x112106,x112107,x112108,x112109,a25),x112102)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11223,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),f327(f327(f84(a834),x112231),x112232)),x112232))), % 153.91/153.59 inference(rename_variables,[],[4412])). % 153.91/153.59 cnf(11226,plain, % 153.91/153.59 (~P134(f327(f327(f228(a1),f327(f99(a1),x112261)),f2(a1)))), % 153.91/153.59 inference(rename_variables,[],[4404])). % 153.91/153.59 cnf(11245,plain, % 153.91/153.59 (E(f37(x112451,x112452,x112453,x112454,x112455,x112456,x112457,x112458,x112459,a25),x112452)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11250,plain, % 153.91/153.59 (E(f37(x112501,x112502,x112503,x112504,x112505,x112506,x112507,x112508,x112509,a25),x112502)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11253,plain, % 153.91/153.59 (~P134(f327(f327(f228(a1),f327(f99(a1),x112531)),f2(a1)))), % 153.91/153.59 inference(rename_variables,[],[4404])). % 153.91/153.59 cnf(11256,plain, % 153.91/153.59 (E(f37(x112561,x112562,x112563,x112564,x112565,x112566,x112567,x112568,x112569,a25),x112562)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11259,plain, % 153.91/153.59 (~E(f327(a111,x112591),x112591)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11265,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),f2(a1)),a87))), % 153.91/153.59 inference(scs_inference,[],[2742,3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,4312,10214,10311,10651,2745,2752,2764,2769,2771,2772,2779,2786,2789,2791,2793,2794,2798,2807,2811,2820,2885,2896,2899,2910,4298,3578,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,4398,3111,3228,3018,3019,10108,10411,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4331,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,11064,11123,4404,11226,11253,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3858,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,3124,10227,10426,10510,10630,3125,10575,10638,4384,10086,10177,10290,10320,10554,10596,10603,3279,10383,10641,10686,10954,11030,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,3185,10408,10438,3223,3218,3637,3575,10089,4397,10040,10402,10405,10838,10854,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,4415,10497,4002,3902,3598,4412,10062,10065,10396,10399,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287])). % 153.91/153.59 cnf(11270,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x112701),x112701))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11290,plain, % 153.91/153.59 (E(f53(a834,x112901,x112901),f2(a834))), % 153.91/153.59 inference(scs_inference,[],[2742,3366,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,4312,10214,10311,10651,2745,2752,2764,2769,2771,2772,2779,2786,2789,2791,2793,2794,2798,2807,2811,2820,2869,2885,2896,2899,2901,2910,2912,4298,3578,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,4398,3111,3228,3018,3019,10108,10411,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4331,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,11064,11123,4404,11226,11253,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3858,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,3124,10227,10426,10510,10630,3125,10575,10638,4384,10086,10177,10290,10320,10554,10596,10603,10913,3279,10383,10641,10686,10954,11030,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,3185,10408,10438,3223,3218,3637,3575,10089,4397,10040,10402,10405,10838,10854,3145,10590,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,4411,10009,10012,10271,3722,3565,10702,10708,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,4415,10497,4002,3902,3598,4412,10062,10065,10396,10399,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354])). % 153.91/153.59 cnf(11293,plain, % 153.91/153.59 (~P134(f327(f327(f228(a1),f327(f99(a1),x112931)),f2(a1)))), % 153.91/153.59 inference(rename_variables,[],[4404])). % 153.91/153.59 cnf(11306,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x113061),x113061))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(11309,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x113091)),x113091))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(11310,plain, % 153.91/153.59 (~E(f327(a111,x113101),x113101)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11320,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),f327(f327(f84(a834),x113201),x113202)),x113201))), % 153.91/153.59 inference(rename_variables,[],[4413])). % 153.91/153.59 cnf(11323,plain, % 153.91/153.59 (~P134(f327(f327(f228(a1),f327(f99(a1),x113231)),f2(a1)))), % 153.91/153.59 inference(rename_variables,[],[4404])). % 153.91/153.59 cnf(11326,plain, % 153.91/153.59 (~E(f327(a111,x113261),x113261)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11339,plain, % 153.91/153.59 (P134(f327(f327(f329(x113391),x113392),f327(f327(f297(x113391),x113392),x113393)))), % 153.91/153.59 inference(rename_variables,[],[3435])). % 153.91/153.59 cnf(11340,plain, % 153.91/153.59 (~P134(f327(f327(f227(a1),f2(a1)),f327(f83(a1),f327(f99(a1),f327(a111,x113401)))))), % 153.91/153.59 inference(rename_variables,[],[4414])). % 153.91/153.59 cnf(11343,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),f327(f327(f3(a834),x113431),x113432)),f327(a111,x113431)))), % 153.91/153.59 inference(rename_variables,[],[3570])). % 153.91/153.59 cnf(11346,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),f53(a834,x113461,x113462)),x113461))), % 153.91/153.59 inference(rename_variables,[],[3575])). % 153.91/153.59 cnf(11352,plain, % 153.91/153.59 (E(f37(x113521,x113522,x113523,x113524,x113525,x113526,x113527,x113528,x113529,a25),x113522)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11355,plain, % 153.91/153.59 (E(f37(x113551,x113552,x113553,x113554,x113555,x113556,x113557,x113558,x113559,a25),x113552)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11358,plain, % 153.91/153.59 (E(f37(x113581,x113582,x113583,x113584,x113585,x113586,x113587,x113588,x113589,a25),x113582)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11362,plain, % 153.91/153.59 (E(f37(x113621,x113622,x113623,x113624,x113625,x113626,x113627,x113628,x113629,a25),x113622)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11365,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x113651)),x113651))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(11366,plain, % 153.91/153.59 (E(f37(x113661,x113662,x113663,x113664,x113665,x113666,x113667,x113668,x113669,a25),x113662)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11369,plain, % 153.91/153.59 (P36(a25,x113691,x113691)), % 153.91/153.59 inference(rename_variables,[],[3030])). % 153.91/153.59 cnf(11378,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x113781),x113781))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11379,plain, % 153.91/153.59 (E(f37(x113791,x113792,x113793,x113794,x113795,x113796,x113797,x113798,x113799,a25),x113792)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11382,plain, % 153.91/153.59 (P36(a25,x113821,x113821)), % 153.91/153.59 inference(rename_variables,[],[3030])). % 153.91/153.59 cnf(11385,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),f53(a834,x113851,x113852)),x113851))), % 153.91/153.59 inference(rename_variables,[],[3575])). % 153.91/153.59 cnf(11386,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),f2(a834)),x113861))), % 153.91/153.59 inference(rename_variables,[],[3145])). % 153.91/153.59 cnf(11388,plain, % 153.91/153.59 (~P134(f327(f327(f227(a1),f82(a1)),f2(a1)))), % 153.91/153.59 inference(scs_inference,[],[2742,3366,3030,11369,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,4312,10214,10311,10651,2745,2752,2764,2769,2771,2772,2779,2786,2789,2791,2793,2794,2796,2798,2807,2811,2820,2869,2880,2885,2896,2899,2901,2910,2912,4298,3059,3578,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4179,4180,4331,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,3109,4388,10018,10021,10049,10515,10530,10646,11064,11123,4404,11226,11253,11293,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3858,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,3124,10227,10426,10510,10630,11202,3125,10575,10638,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,3279,10383,10641,10686,10954,11030,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,3185,10408,10438,3223,3218,3637,3575,10089,11346,4397,10040,10402,10405,10838,10854,11309,3145,10590,10664,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,3722,3565,10702,10708,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,4415,10497,4002,3902,3598,4412,10062,10065,10396,10399,4413,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642])). % 153.91/153.59 cnf(11403,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x114031),x114031))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11406,plain, % 153.91/153.59 (E(f37(x114061,x114062,x114063,x114064,x114065,x114066,x114067,x114068,x114069,a25),x114062)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11409,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x114091),x114091))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11412,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x114121),x114121))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11415,plain, % 153.91/153.59 (P134(f327(f327(f329(x114151),f327(x114152,x114153)),f327(f298(x114154,x114151,x114152),f234(f841(x114154,a831)))))), % 153.91/153.59 inference(rename_variables,[],[3722])). % 153.91/153.59 cnf(11416,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),f327(f327(f84(a834),x114161),x114162)),x114162))), % 153.91/153.59 inference(rename_variables,[],[4412])). % 153.91/153.59 cnf(11419,plain, % 153.91/153.59 (P134(f327(f327(f329(x114191),f327(x114192,x114193)),f327(f298(x114194,x114191,x114192),f234(f841(x114194,a831)))))), % 153.91/153.59 inference(rename_variables,[],[3722])). % 153.91/153.59 cnf(11420,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x114201)),x114201))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(11425,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),f327(f327(f84(a834),x114251),x114252)),x114251))), % 153.91/153.59 inference(rename_variables,[],[4413])). % 153.91/153.59 cnf(11428,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x114281),x114281))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11431,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x114311),x114311))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11438,plain, % 153.91/153.59 (P134(f327(f327(f329(x114381),x114382),f234(f841(x114381,a831))))), % 153.91/153.59 inference(rename_variables,[],[3279])). % 153.91/153.59 cnf(11439,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x114391)),x114391))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(11454,plain, % 153.91/153.59 (~P134(f327(f327(f329(x114541),x114542),f176(f841(x114541,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(11457,plain, % 153.91/153.59 (E(f327(f327(f18(x114571,x114572),x114573),x114574),x114573)), % 153.91/153.59 inference(rename_variables,[],[3116])). % 153.91/153.59 cnf(11460,plain, % 153.91/153.59 (E(f327(f327(f18(x114601,x114602),x114603),x114604),x114603)), % 153.91/153.59 inference(rename_variables,[],[3116])). % 153.91/153.59 cnf(11463,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x114631),x114631))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11474,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),f327(f327(f44(a834),x114741),x114742)),x114741))), % 153.91/153.59 inference(rename_variables,[],[3544])). % 153.91/153.59 cnf(11475,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),f2(a834)),f327(a111,x114751)))), % 153.91/153.59 inference(rename_variables,[],[3205])). % 153.91/153.59 cnf(11477,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),f327(f327(f44(a834),x114771),f37(x114772,f2(a834),x114773,x114774,x114775,x114776,x114777,x114778,x114779,a25))),f2(a834)))), % 153.91/153.59 inference(scs_inference,[],[2742,3366,3030,11369,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,4312,10214,10311,10651,2745,2752,2764,2769,2771,2772,2779,2786,2789,2791,2793,2794,2796,2798,2807,2811,2820,2869,2880,2885,2896,2899,2901,2910,2912,4298,3059,3578,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4179,4180,4331,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,11343,3109,3205,4388,10018,10021,10049,10515,10530,10646,11064,11123,4404,11226,11253,11293,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3858,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,3124,10227,10426,10510,10630,11202,3125,10575,10638,3199,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,3279,10383,10641,10686,10954,11030,11189,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,3185,10408,10438,3223,3218,3637,3575,10089,11346,4397,10040,10402,10405,10838,10854,11309,11365,11420,3145,10590,10664,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,3722,11075,11415,3565,10702,10708,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,11340,4415,10497,4002,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907])). % 153.91/153.59 cnf(11478,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x114781),x114781))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11479,plain, % 153.91/153.59 (E(f37(x114791,x114792,x114793,x114794,x114795,x114796,x114797,x114798,x114799,a25),x114792)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11482,plain, % 153.91/153.59 (P134(f327(f327(f329(x114821),f327(x114822,x114823)),f327(f298(x114824,x114821,x114822),f234(f841(x114824,a831)))))), % 153.91/153.59 inference(rename_variables,[],[3722])). % 153.91/153.59 cnf(11485,plain, % 153.91/153.59 (P134(f327(f66(x114851),f165(x114851,x114852,f162(x114851,x114852,x114853))))), % 153.91/153.59 inference(rename_variables,[],[3667])). % 153.91/153.59 cnf(11488,plain, % 153.91/153.59 (P134(f327(f66(x114881),f165(x114881,x114882,f162(x114881,x114882,x114883))))), % 153.91/153.59 inference(rename_variables,[],[3667])). % 153.91/153.59 cnf(11491,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),f327(f83(a1),f327(f99(a1),x114911))),f327(f99(a1),x114912)))), % 153.91/153.59 inference(rename_variables,[],[3599])). % 153.91/153.59 cnf(11494,plain, % 153.91/153.59 (~P134(f327(f327(f329(x114941),x114942),f176(f841(x114941,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(11506,plain, % 153.91/153.59 (~P134(f327(f327(f329(a834),f2(a834)),f327(f291(a834),x115061)))), % 153.91/153.59 inference(scs_inference,[],[2742,3366,3030,11369,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,4312,10214,10311,10651,2745,2752,2764,2769,2771,2772,2779,2786,2789,2791,2793,2794,2796,2798,2800,2807,2811,2820,2869,2880,2885,2896,2899,2901,2902,2910,2912,4298,3059,3578,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4179,4180,4331,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,11343,3109,3205,4388,10018,10021,10049,10515,10530,10646,11064,11123,4404,11226,11253,11293,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3667,11485,3858,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,3124,10227,10426,10510,10630,11202,3125,10575,10638,3199,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,3279,10383,10641,10686,10954,11030,11189,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,3185,10408,10438,3223,3218,3637,3575,10089,11346,4397,10040,10402,10405,10838,10854,11309,11365,11420,3145,10590,10664,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,3871,3722,11075,11415,11419,3565,10702,10708,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,11340,4415,10497,4002,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995])). % 153.91/153.59 cnf(11508,plain, % 153.91/153.59 (~P134(f327(f327(f329(a834),x115081),f327(f252(a834),f2(a834))))), % 153.91/153.59 inference(scs_inference,[],[2742,3366,3030,11369,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,4312,10214,10311,10651,2745,2752,2764,2769,2771,2772,2779,2786,2789,2791,2793,2794,2796,2798,2800,2807,2811,2820,2869,2880,2885,2896,2899,2901,2902,2910,2912,4298,3059,3578,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4179,4180,4331,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,11343,3109,3205,4388,10018,10021,10049,10515,10530,10646,11064,11123,4404,11226,11253,11293,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3667,11485,3858,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,3124,10227,10426,10510,10630,11202,3125,10575,10638,3199,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,3279,10383,10641,10686,10954,11030,11189,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,3185,10408,10438,3223,3218,3637,3575,10089,11346,4397,10040,10402,10405,10838,10854,11309,11365,11420,3145,10590,10664,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,3871,3722,11075,11415,11419,3565,10702,10708,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,11340,4415,10497,4002,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996])). % 153.91/153.59 cnf(11514,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),f53(a834,x115141,f37(x115142,f2(a834),x115143,x115144,x115145,x115146,x115147,x115148,x115149,a25))),x115141))), % 153.91/153.59 inference(scs_inference,[],[2742,3366,3030,11369,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,4312,10214,10311,10651,2745,2752,2764,2769,2771,2772,2779,2786,2789,2791,2793,2794,2796,2798,2800,2807,2811,2820,2869,2880,2885,2896,2899,2901,2902,2910,2912,4298,3059,3578,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4179,4180,4331,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,3570,11343,3109,3205,4388,10018,10021,10049,10515,10530,10646,11064,11123,4404,11226,11253,11293,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3667,11485,3858,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,3124,10227,10426,10510,10630,11202,11306,3125,10575,10638,3199,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,3279,10383,10641,10686,10954,11030,11189,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,3185,10408,10438,3223,3218,3637,3575,10089,11346,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,3145,10590,10664,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,3871,3722,11075,11415,11419,3565,10702,10708,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,11340,4415,10497,4002,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996,5997,5998,6036])). % 153.91/153.59 cnf(11515,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x115151),x115151))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(11516,plain, % 153.91/153.59 (E(f37(x115161,x115162,x115163,x115164,x115165,x115166,x115167,x115168,x115169,a25),x115162)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(11519,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x115191),f327(a111,x115191)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(11522,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x115221),x115221))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(11533,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x115331),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(11536,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x115361),x115361))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(11541,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x115411),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(11550,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),f2(a834)),x115501))), % 153.91/153.59 inference(rename_variables,[],[3145])). % 153.91/153.59 cnf(11551,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x115511)),x115511))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(11554,plain, % 153.91/153.59 (~P134(f327(f67(x115541,x115542,f176(f841(x115541,a831))),x115543))), % 153.91/153.59 inference(rename_variables,[],[4411])). % 153.91/153.59 cnf(11565,plain, % 153.91/153.59 (~P134(f327(f327(f274(a834),f327(a111,f327(f327(f84(a834),f327(a111,f2(a834))),x115651))),f327(a111,f2(a834))))), % 153.91/153.59 inference(scs_inference,[],[2742,3366,3030,11369,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,4312,10214,10311,10651,2745,2752,2764,2769,2771,2772,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2807,2811,2820,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4298,3059,3578,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4179,4180,4331,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,3570,11343,3109,3205,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,4404,11226,11253,11293,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3667,11485,3858,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,3124,10227,10426,10510,10630,11202,11306,11515,11522,3125,10575,10638,3199,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,3279,10383,10641,10686,10954,11030,11189,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,3145,10590,10664,11386,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,10724,11554,3871,3722,11075,11415,11419,3565,10702,10708,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,11340,4415,10497,4002,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996,5997,5998,6036,6037,6053,6110,6144,6146,6147,6171,6172,6174,6178,6179,6187,6203,6220,6240,6241,6246,6257,6258,6261])). % 153.91/153.59 cnf(11567,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x115671),f327(a111,x115671)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(11577,plain, % 153.91/153.59 (P134(f327(f327(f228(a1),f327(f83(a1),f82(a1))),f2(a1)))), % 153.91/153.59 inference(scs_inference,[],[2742,3366,3030,11369,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,4312,10214,10311,10651,2745,2752,2764,2769,2771,2772,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2807,2811,2820,2823,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4298,3059,3578,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4179,4180,4331,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,3570,11343,3109,3205,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,4404,11226,11253,11293,11323,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3667,11485,3858,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,3124,10227,10426,10510,10630,11202,11306,11515,11522,3125,10575,10638,3199,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,3279,10383,10641,10686,10954,11030,11189,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,3145,10590,10664,11386,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,10724,11554,3871,3722,11075,11415,11419,3565,10702,10708,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,11340,4415,10497,4002,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996,5997,5998,6036,6037,6053,6110,6144,6146,6147,6171,6172,6174,6178,6179,6187,6203,6220,6240,6241,6246,6257,6258,6261,6274,6295,6299,6301,6315])). % 153.91/153.59 cnf(11582,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x115821),x115821))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11585,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x115851),x115851))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11588,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x115881),x115881))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11591,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x115911),x115911))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11594,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x115941)),x115941))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(11597,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x115971)),x115971))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(11600,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x116001)),x116001))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(11603,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x116031)),x116031))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(11620,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x116201),x116201))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11625,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x116251),f327(f79(a1),x116251)))), % 153.91/153.59 inference(scs_inference,[],[2742,3366,3423,3030,11369,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,4312,10214,10311,10651,2745,2752,2764,2769,2771,2772,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2807,2811,2820,2823,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4298,3059,3578,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4179,4180,4331,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,3570,11343,3109,3205,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,4404,11226,11253,11293,11323,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3667,11485,3858,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,3125,10575,10638,3199,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,3279,10383,10641,10686,10954,11030,11189,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,3145,10590,10664,11386,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,10724,11554,3871,3722,11075,11415,11419,3565,10702,10708,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,11340,4415,10497,4002,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,54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% 153.91/153.59 cnf(11626,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x116261),x116261))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(11637,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x116371),x116371))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(11640,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(f840(f835(x116401),f835(x116401)),a831)),f142(x116401,x116402)),f295(f835(x116401),f141(x116401,x116402))))), % 153.91/153.59 inference(rename_variables,[],[3813])). % 153.91/153.59 cnf(11647,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x116471),f327(a111,x116471)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(11650,plain, % 153.91/153.59 (P134(f327(f327(f329(f841(x116501,a831)),x116502),f327(f296(x116501),x116502)))), % 153.91/153.59 inference(rename_variables,[],[3482])). % 153.91/153.59 cnf(11651,plain, % 153.91/153.59 (~E(f327(a111,x116511),x116511)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11658,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x116581),x116581))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(11663,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x116631),x116631))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(11672,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x116721,a831)),x116722),f327(f327(f297(x116721),x116723),x116722)))), % 153.91/153.59 inference(rename_variables,[],[3565])). % 153.91/153.59 cnf(11675,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x116751),x116751))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11676,plain, % 153.91/153.59 (~E(f327(a111,x116761),x116761)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11689,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x116891),x116891))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11690,plain, % 153.91/153.59 (~E(f327(a111,x116901),x116901)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11693,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x116931),x116931))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11696,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x116961),x116961))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11699,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x116991),x116991))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11702,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x117021),x117021))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11704,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),f327(a104,f2(a1))),f327(a111,x117041)))), % 153.91/153.59 inference(scs_inference,[],[2742,3366,3423,3030,11369,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,4312,10214,10311,10651,2745,2752,2764,2769,2771,2772,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2807,2811,2820,2823,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4298,3059,3578,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4179,4180,4331,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,3570,11343,3109,3205,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,4404,11226,11253,11293,11323,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3667,11485,3858,3813,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,3125,10575,10638,3199,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,3279,10383,10641,10686,10954,11030,11189,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,3145,10590,10664,11386,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,10724,11554,3871,3722,11075,11415,11419,3565,10702,10708,10719,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,11340,4415,10497,4002,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,53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% 153.91/153.59 cnf(11705,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x117051),x117051))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(11708,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x117081),x117081))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(11711,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x117111),x117111))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11714,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x117141),x117141))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11715,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x117151),f327(a111,x117151)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(11724,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x117241),x117241))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11725,plain, % 153.91/153.59 (~E(f327(a111,x117251),x117251)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11730,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x117301),x117301))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(11745,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x117451),x117451))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(11750,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x117501),x117501))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11768,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x117681),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(11771,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x117711),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(11774,plain, % 153.91/153.59 (~P134(f327(f327(f329(x117741),x117742),f176(f841(x117741,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(11777,plain, % 153.91/153.59 (~P134(f327(f327(f329(x117771),x117772),f176(f841(x117771,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(11780,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x117801),x117801))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11783,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x117831),x117831))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11785,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x117851),f327(f327(f101(a834),x117852),x117851)))), % 153.91/153.59 inference(scs_inference,[],[2742,3366,3423,3030,11369,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,4312,10214,10311,10651,2745,2752,2764,2769,2771,2772,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2807,2811,2820,2823,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4298,3059,3068,3578,3884,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4179,4180,4331,3426,3631,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,3570,11343,3109,3205,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,4404,11226,11253,11293,11323,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3667,11485,11488,3858,3813,3761,3808,3482,3847,3498,10759,10821,10906,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,3125,10575,10638,3199,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,3279,10383,10641,10686,10954,11030,11189,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,3145,10590,10664,11386,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,10724,11554,3871,3722,11075,11415,11419,3565,10702,10708,10719,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,11340,4415,10497,4002,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5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% 153.91/153.59 cnf(11786,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x117861),x117861))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11789,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x117891),x117891))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11792,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x117921),f327(a111,x117921)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(11799,plain, % 153.91/153.59 (P134(f327(f327(f329(f841(x117991,a831)),x117992),f327(f296(x117991),x117992)))), % 153.91/153.59 inference(rename_variables,[],[3482])). % 153.91/153.59 cnf(11804,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x118041,a831)),f327(f154(x118041),f327(f123(x118041,x118042),x118043))),f327(f154(x118041),x118043)))), % 153.91/153.59 inference(rename_variables,[],[3761])). % 153.91/153.59 cnf(11811,plain, % 153.91/153.59 (~P134(f327(f327(f329(x118111),x118112),f176(f841(x118111,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(11820,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x118201,a831)),x118202),f234(f841(x118201,a831))))), % 153.91/153.59 inference(rename_variables,[],[3498])). % 153.91/153.59 cnf(11821,plain, % 153.91/153.59 (~E(f327(a111,x118211),x118211)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11827,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x118271),f327(a111,x118271)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(11836,plain, % 153.91/153.59 (E(f327(f177(f835(x118361)),f327(f150(x118361),x118362)),f327(f177(f835(x118361)),x118362))), % 153.91/153.59 inference(rename_variables,[],[3136])). % 153.91/153.59 cnf(11839,plain, % 153.91/153.59 (P38(a25,x118391,x118392,x118391)), % 153.91/153.59 inference(rename_variables,[],[3342])). % 153.91/153.59 cnf(11852,plain, % 153.91/153.59 (P134(f327(f66(x118521),f176(f841(x118521,a831))))), % 153.91/153.59 inference(rename_variables,[],[3199])). % 153.91/153.59 cnf(11853,plain, % 153.91/153.59 (~P134(f327(f327(f329(x118531),x118532),f176(f841(x118531,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(11856,plain, % 153.91/153.59 (P38(a25,x118561,x118562,x118561)), % 153.91/153.59 inference(rename_variables,[],[3342])). % 153.91/153.59 cnf(11861,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x118611),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(11862,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x118621),x118621))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11869,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x118691,a831)),f327(f154(x118691),f152(x118691,x118692,x118693))),f327(f154(x118691),x118693)))), % 153.91/153.59 inference(rename_variables,[],[3808])). % 153.91/153.59 cnf(11874,plain, % 153.91/153.59 (P28(x118741,x118741,f7(x118741),x118742)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(11879,plain, % 153.91/153.59 (P134(f327(f327(f329(f841(x118791,a831)),x118792),f327(f296(x118791),x118792)))), % 153.91/153.59 inference(rename_variables,[],[3482])). % 153.91/153.59 cnf(11886,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x118861),x118861))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11889,plain, % 153.91/153.59 (~P134(f327(f327(f329(x118891),x118892),f176(f841(x118891,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(11892,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x118921,a831)),x118922),f327(f327(f297(x118921),x118923),x118922)))), % 153.91/153.59 inference(rename_variables,[],[3565])). % 153.91/153.59 cnf(11893,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x118931,a831)),x118932),f234(f841(x118931,a831))))), % 153.91/153.59 inference(rename_variables,[],[3498])). % 153.91/153.59 cnf(11900,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x119001),f327(a111,x119001)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(11903,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x119031),f327(a111,x119031)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(11906,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x119061),x119061))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11909,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x119091),x119091))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11912,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x119121),x119121))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11915,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x119151),x119151))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11918,plain, % 153.91/153.59 (P134(f327(f327(f274(a834),x119181),x119181))), % 153.91/153.59 inference(rename_variables,[],[3125])). % 153.91/153.59 cnf(11921,plain, % 153.91/153.59 (P134(f327(f327(f274(a834),x119211),x119211))), % 153.91/153.59 inference(rename_variables,[],[3125])). % 153.91/153.59 cnf(11925,plain, % 153.91/153.59 (~P134(f327(f327(f227(a1),f327(f327(f3(a1),a87),a96)),f2(a1)))), % 153.91/153.59 inference(scs_inference,[],[2742,3342,11839,3366,10811,3423,3030,11369,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,4312,10214,10311,10651,2745,2752,2764,2768,2769,2771,2772,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2807,2811,2820,2823,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4298,3059,3068,3578,3884,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3136,3181,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4179,4180,4331,3426,3631,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,3570,11343,3109,3205,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,4404,11226,11253,11293,11323,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3667,11485,11488,3165,3858,3813,3761,3808,10756,3482,11650,11799,3847,3498,10759,10821,10906,10965,11820,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,3125,10575,10638,11918,3199,11852,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,3279,10383,10641,10686,10954,11030,11189,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,3145,10590,10664,11386,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,10724,11554,3871,3722,11075,11415,11419,3565,10702,10708,10719,11672,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,11340,4415,10497,4002,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996,5997,5998,6036,6037,6053,6110,6144,6146,6147,6171,6172,6174,6178,6179,6187,6203,6220,6240,6241,6246,6257,6258,6261,6274,6295,6299,6301,6315,6316,6320,6322,6323,6324,6326,6328,6329,6330,6338,6345,6346,6347,6348,6354,6356,6399,6405,6420,6423,6424,6425,6459,6461,6464,6469,6470,6481,6484,6498,6523,6524,6525,6526,6537,6541,6557,6561,6584,6606,6621,6622,6623,6628,6641,6663,6665,6667,6669,6672,6673,6679,6681,6694,6702,6741,6744,6745,6761,6762,6763,6764,6783,6784,6801,6828,6849,6859,6861,6862,6864,6866,6867,6905,6906,6907,6912,6913,6915,6917,6918,6919,6941,6949,6950,6964,6974,7018,7027,7033,7041,7052,7057,7059,7065,7086,7103,7121,7123,7133,7139,7200,7202,7203,7204,7213,7214,7220,7222,7245,7290,7308,7325,7341,7342,7358,7386,7390,7413,7440,7459,7462,7463,7473,7491,7492,7494,7496,7498,7500,7501,7502,7553,7554])). % 153.91/153.59 cnf(11928,plain, % 153.91/153.59 (P134(f327(f327(f329(f841(x119281,a831)),x119282),f327(f296(x119281),x119282)))), % 153.91/153.59 inference(rename_variables,[],[3482])). % 153.91/153.59 cnf(11937,plain, % 153.91/153.59 (~E(f327(a111,x119371),x119371)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11938,plain, % 153.91/153.59 (E(f327(f298(x119381,x119381,f7(x119381)),x119382),x119382)), % 153.91/153.59 inference(rename_variables,[],[3181])). % 153.91/153.59 cnf(11941,plain, % 153.91/153.59 (P31(x119411,x119412,f112(x119411),f112(x119411))), % 153.91/153.59 inference(rename_variables,[],[3374])). % 153.91/153.59 cnf(11944,plain, % 153.91/153.59 (~E(f327(a111,x119441),x119441)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(11947,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x119471,a831)),f327(f154(x119471),f152(x119471,x119472,x119473))),f327(f154(x119471),x119473)))), % 153.91/153.59 inference(rename_variables,[],[3808])). % 153.91/153.59 cnf(11948,plain, % 153.91/153.59 (P134(f327(f66(x119481),f327(f154(x119481),x119482)))), % 153.91/153.59 inference(rename_variables,[],[3165])). % 153.91/153.59 cnf(11959,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x119591),x119591))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11962,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x119621),x119621))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(11971,plain, % 153.91/153.59 (E(f327(f177(f835(x119711)),f327(f150(x119711),x119712)),f327(f177(f835(x119711)),x119712))), % 153.91/153.59 inference(rename_variables,[],[3136])). % 153.91/153.59 cnf(11974,plain, % 153.91/153.59 (P18(a834,f327(f151(a834),f327(f327(f138(f835(x119741),a834),f177(f835(x119741))),f160(x119741,x119742))))), % 153.91/153.59 inference(rename_variables,[],[3680])). % 153.91/153.59 cnf(11977,plain, % 153.91/153.59 (P28(x119771,x119771,f7(x119771),x119772)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(11980,plain, % 153.91/153.59 (P134(f327(f327(f329(f835(x119801)),f112(x119801)),f144(x119801,x119802)))), % 153.91/153.59 inference(rename_variables,[],[3321])). % 153.91/153.59 cnf(11983,plain, % 153.91/153.59 (~P134(f327(f327(f176(f841(x119831,f841(x119832,a831))),x119833),x119834))), % 153.91/153.59 inference(rename_variables,[],[4415])). % 153.91/153.59 cnf(11988,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x119881),x119881))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(11989,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),f2(a834)),x119891))), % 153.91/153.59 inference(rename_variables,[],[3145])). % 153.91/153.59 cnf(11991,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),f2(a1)),f762(x119911,f176(f841(x119912,f841(x119913,a831))),f82(a1))))), % 153.91/153.59 inference(scs_inference,[],[2742,3342,11839,3366,10811,11874,3374,3423,3030,11369,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,4312,10214,10311,10651,2745,2752,2764,2767,2768,2769,2771,2772,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2807,2811,2820,2823,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4298,3059,3068,3578,3884,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3002,3136,11836,3181,10585,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4179,4180,4331,3426,3631,3680,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,3570,11343,3109,3205,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,4404,11226,11253,11293,11323,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3667,11485,11488,3165,3858,3813,3761,3808,10756,11869,3482,11650,11799,11879,11928,3847,3498,10759,10821,10906,10965,11820,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,3125,10575,10638,11918,3199,11852,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,3279,10383,10641,10686,10954,11030,11189,11438,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,3145,10590,10664,11386,11550,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,10724,11554,3871,3722,11075,11415,11419,3565,10702,10708,10719,11672,3420,3567,10782,10933,10959,3392,10369,10372,10441,10617,4414,11340,4415,10497,11061,11983,4002,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996,5997,5998,6036,6037,6053,6110,6144,6146,6147,6171,6172,6174,6178,6179,6187,6203,6220,6240,6241,6246,6257,6258,6261,6274,6295,6299,6301,6315,6316,6320,6322,6323,6324,6326,6328,6329,6330,6338,6345,6346,6347,6348,6354,6356,6399,6405,6420,6423,6424,6425,6459,6461,6464,6469,6470,6481,6484,6498,6523,6524,6525,6526,6537,6541,6557,6561,6584,6606,6621,6622,6623,6628,6641,6663,6665,6667,6669,6672,6673,6679,6681,6694,6702,6741,6744,6745,6761,6762,6763,6764,6783,6784,6801,6828,6849,6859,6861,6862,6864,6866,6867,6905,6906,6907,6912,6913,6915,6917,6918,6919,6941,6949,6950,6964,6974,7018,7027,7033,7041,7052,7057,7059,7065,7086,7103,7121,7123,7133,7139,7200,7202,7203,7204,7213,7214,7220,7222,7245,7290,7308,7325,7341,7342,7358,7386,7390,7413,7440,7459,7462,7463,7473,7491,7492,7494,7496,7498,7500,7501,7502,7553,7554,7587,7589,7590,7591,7597,7616,7625,7635,7640,7646,7648,7654,7665,7666,7668,7695,7721,7751,7789,7790,7837,7844,7845,7867,7868])). % 153.91/153.59 cnf(11992,plain, % 153.91/153.59 (~P134(f327(f327(f176(f841(x119921,f841(x119922,a831))),x119923),x119924))), % 153.91/153.59 inference(rename_variables,[],[4415])). % 153.91/153.59 cnf(11995,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(f840(f835(x119951),f835(x119951)),a831)),f142(x119951,x119952)),f295(f835(x119951),f141(x119951,x119952))))), % 153.91/153.59 inference(rename_variables,[],[3813])). % 153.91/153.59 cnf(12000,plain, % 153.91/153.59 (P134(f327(f327(f228(f841(x120001,a831)),f176(f841(x120001,a831))),f234(f841(x120001,a831))))), % 153.91/153.59 inference(scs_inference,[],[2742,3342,11839,3366,10811,11874,3374,3423,3030,11369,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,4275,11096,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,4312,10214,10311,10651,2745,2752,2764,2767,2768,2769,2771,2772,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2807,2811,2820,2823,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4298,3059,3068,3578,3884,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3002,3136,11836,3181,10585,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,3481,4179,4180,4331,3426,3631,3680,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,3570,11343,3109,3205,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,4404,11226,11253,11293,11323,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3667,11485,11488,3165,3858,3813,11640,11995,3761,3808,10756,11869,3482,11650,11799,11879,11928,3847,3498,10759,10821,10906,10965,11820,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,3125,10575,10638,11918,3199,11852,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,3279,10383,10641,10686,10954,11030,11189,11438,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,3145,10590,10664,11386,11550,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,10724,11554,3871,3722,11075,11415,11419,3565,10702,10708,10719,11672,3420,3567,10782,10933,10959,10970,3392,10369,10372,10441,10617,4414,11340,4415,10497,11061,11983,4002,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996,5997,5998,6036,6037,6053,6110,6144,6146,6147,6171,6172,6174,6178,6179,6187,6203,6220,6240,6241,6246,6257,6258,6261,6274,6295,6299,6301,6315,6316,6320,6322,6323,6324,6326,6328,6329,6330,6338,6345,6346,6347,6348,6354,6356,6399,6405,6420,6423,6424,6425,6459,6461,6464,6469,6470,6481,6484,6498,6523,6524,6525,6526,6537,6541,6557,6561,6584,6606,6621,6622,6623,6628,6641,6663,6665,6667,6669,6672,6673,6679,6681,6694,6702,6741,6744,6745,6761,6762,6763,6764,6783,6784,6801,6828,6849,6859,6861,6862,6864,6866,6867,6905,6906,6907,6912,6913,6915,6917,6918,6919,6941,6949,6950,6964,6974,7018,7027,7033,7041,7052,7057,7059,7065,7086,7103,7121,7123,7133,7139,7200,7202,7203,7204,7213,7214,7220,7222,7245,7290,7308,7325,7341,7342,7358,7386,7390,7413,7440,7459,7462,7463,7473,7491,7492,7494,7496,7498,7500,7501,7502,7553,7554,7587,7589,7590,7591,7597,7616,7625,7635,7640,7646,7648,7654,7665,7666,7668,7695,7721,7751,7789,7790,7837,7844,7845,7867,7868,7887,7888,7945])). % 153.91/153.59 cnf(12001,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x120011,a831)),f176(f841(x120011,a831))),x120012))), % 153.91/153.59 inference(rename_variables,[],[3567])). % 153.91/153.59 cnf(12004,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x120041,a831)),f327(f298(x120042,x120041,x120043),f327(f300(x120042,x120041,x120043),x120044))),x120044))), % 153.91/153.59 inference(rename_variables,[],[4002])). % 153.91/153.59 cnf(12007,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x120071,a831)),f327(f154(x120071),f152(x120071,x120072,x120073))),f327(f154(x120071),x120073)))), % 153.91/153.59 inference(rename_variables,[],[3808])). % 153.91/153.59 cnf(12008,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x120081,a831)),f327(f154(x120081),f327(f123(x120081,x120082),x120083))),f327(f154(x120081),x120083)))), % 153.91/153.59 inference(rename_variables,[],[3761])). % 153.91/153.59 cnf(12013,plain, % 153.91/153.59 (P28(x120131,f838(x120131),f222(x120131),x120132)), % 153.91/153.59 inference(rename_variables,[],[3375])). % 153.91/153.59 cnf(12018,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x120181,a831)),f327(f298(x120182,x120181,x120183),f327(f300(x120182,x120181,x120183),x120184))),x120184))), % 153.91/153.59 inference(rename_variables,[],[4002])). % 153.91/153.59 cnf(12021,plain, % 153.91/153.59 (P134(f327(f66(f838(x120211)),f327(f298(x120212,f838(x120211),f162(x120212,x120211,x120213)),f234(f841(x120212,a831)))))), % 153.91/153.59 inference(rename_variables,[],[3871])). % 153.91/153.59 cnf(12026,plain, % 153.91/153.59 (P134(f327(f327(f329(f841(x120261,a831)),x120262),f327(f296(x120261),x120262)))), % 153.91/153.59 inference(rename_variables,[],[3482])). % 153.91/153.59 cnf(12029,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x120291),f835(x120291))),f327(f327(f236(f835(x120291),f835(x120291)),x120292),f112(x120291))),f131(x120291,x120293)))), % 153.91/153.59 inference(rename_variables,[],[4416])). % 153.91/153.59 cnf(12032,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x120321),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(12034,plain, % 153.91/153.59 (~P134(f327(f66(x120341),f234(f841(x120341,a831))))), % 153.91/153.59 inference(scs_inference,[],[2742,3342,11839,3366,10811,11874,3374,3375,3423,3030,11369,3096,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,4275,11096,3003,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,4312,10214,10311,10651,2745,2752,2764,2767,2768,2769,2771,2772,2773,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2807,2811,2820,2823,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4298,3059,3068,3578,3884,2964,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3002,3136,11836,3181,10585,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,3751,10753,10872,10936,4416,10689,10879,10993,11013,11049,11055,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,11980,3481,4179,4180,4331,3426,3631,3680,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,3570,11343,3109,3205,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,4404,11226,11253,11293,11323,3557,3333,3705,3151,3153,3126,4385,4328,3313,4405,3891,11010,3445,3667,11485,11488,3165,3858,3813,11640,11995,3761,11804,3808,10756,11869,11947,3482,11650,11799,11879,11928,3847,3498,10759,10821,10906,10965,11820,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,3125,10575,10638,11918,3199,11852,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,3279,10383,10641,10686,10954,11030,11189,11438,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,3145,10590,10664,11386,11550,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,10724,11554,3871,3722,11075,11415,11419,3565,10702,10708,10719,11672,3420,10921,3567,10782,10933,10959,10970,3392,10369,10372,10441,10617,4414,11340,4415,10497,11061,11983,4002,10578,12004,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9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% 153.91/153.59 cnf(12035,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x120351,a831)),x120352),x120352))), % 153.91/153.59 inference(rename_variables,[],[3420])). % 153.91/153.59 cnf(12038,plain, % 153.91/153.59 (~P134(f327(f327(f329(x120381),x120382),f176(f841(x120381,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(12041,plain, % 153.91/153.59 (~P134(f327(f327(f176(f841(x120411,f841(x120412,a831))),x120413),x120414))), % 153.91/153.59 inference(rename_variables,[],[4415])). % 153.91/153.59 cnf(12044,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x120441,a831)),f327(f298(x120442,x120441,x120443),f327(f300(x120442,x120441,x120443),x120444))),x120444))), % 153.91/153.59 inference(rename_variables,[],[4002])). % 153.91/153.59 cnf(12045,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x120451,a831)),x120452),x120452))), % 153.91/153.59 inference(rename_variables,[],[3420])). % 153.91/153.59 cnf(12050,plain, % 153.91/153.59 (E(f37(x120501,x120502,x120503,x120504,x120505,x120506,x120507,x120508,x120509,a25),x120502)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(12053,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x120531,a831)),f327(f154(x120531),f152(x120531,x120532,x120533))),f327(f154(x120531),x120533)))), % 153.91/153.59 inference(rename_variables,[],[3808])). % 153.91/153.59 cnf(12054,plain, % 153.91/153.59 (P134(f327(f66(x120541),f327(f154(x120541),x120542)))), % 153.91/153.59 inference(rename_variables,[],[3165])). % 153.91/153.59 cnf(12057,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x120571),x120571))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12060,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x120601),x120601))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(12063,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x120631),x120631))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(12074,plain, % 153.91/153.59 (P28(x120741,x120741,f7(x120741),x120742)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(12081,plain, % 153.91/153.59 (~P134(f327(f327(f329(x120811),x120812),f176(f841(x120811,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(12084,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(x120841,x120841)),f327(f327(f236(x120841,x120841),x120842),x120842)),f295(x120841,x120843)))), % 153.91/153.59 inference(rename_variables,[],[3751])). % 153.91/153.59 cnf(12087,plain, % 153.91/153.59 (~P134(f327(f327(f329(x120871),x120872),f176(f841(x120871,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(12090,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(x120901,x120901)),f327(f327(f236(x120901,x120901),x120902),x120902)),f295(x120901,x120903)))), % 153.91/153.59 inference(rename_variables,[],[3751])). % 153.91/153.59 cnf(12100,plain, % 153.91/153.59 (~E(f327(f327(f136(x121001),x121002),x121003),x121003)), % 153.91/153.59 inference(rename_variables,[],[4334])). % 153.91/153.59 cnf(12103,plain, % 153.91/153.59 (P134(f327(f327(f329(x121031),x121032),f234(f841(x121031,a831))))), % 153.91/153.59 inference(rename_variables,[],[3279])). % 153.91/153.59 cnf(12104,plain, % 153.91/153.59 (~E(f327(a111,x121041),x121041)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(12107,plain, % 153.91/153.59 (P134(f327(f327(f329(f835(x121071)),f112(x121071)),f144(x121071,x121072)))), % 153.91/153.59 inference(rename_variables,[],[3321])). % 153.91/153.59 cnf(12108,plain, % 153.91/153.59 (~E(f327(f327(f136(x121081),x121082),x121083),f112(x121081))), % 153.91/153.59 inference(rename_variables,[],[4343])). % 153.91/153.59 cnf(12111,plain, % 153.91/153.59 (P134(f327(f327(f329(x121111),f327(x121112,x121113)),f327(f298(x121114,x121111,x121112),f234(f841(x121114,a831)))))), % 153.91/153.59 inference(rename_variables,[],[3722])). % 153.91/153.59 cnf(12112,plain, % 153.91/153.59 (P28(x121121,x121121,f7(x121121),x121122)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(12115,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x121151,a831)),f176(f841(x121151,a831))),x121152))), % 153.91/153.59 inference(rename_variables,[],[3567])). % 153.91/153.59 cnf(12116,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x121161,a831)),x121162),x121162))), % 153.91/153.59 inference(rename_variables,[],[3420])). % 153.91/153.59 cnf(12119,plain, % 153.91/153.59 (P134(f327(f327(f329(x121191),f327(x121192,x121193)),f327(f298(x121194,x121191,x121192),f234(f841(x121194,a831)))))), % 153.91/153.59 inference(rename_variables,[],[3722])). % 153.91/153.59 cnf(12120,plain, % 153.91/153.59 (P28(x121201,x121201,f7(x121201),x121202)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(12123,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(f835(x121231),f835(x121231))),f327(f327(f236(f835(x121231),f835(x121231)),f112(x121231)),f112(x121231))),f142(x121231,x121232)))), % 153.91/153.59 inference(rename_variables,[],[3897])). % 153.91/153.59 cnf(12129,plain, % 153.91/153.59 (P28(x121291,x121291,f7(x121291),x121292)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(12132,plain, % 153.91/153.59 (E(f327(f327(f122(x121321),x121322),f112(x121321)),x121322)), % 153.91/153.59 inference(rename_variables,[],[3059])). % 153.91/153.59 cnf(12133,plain, % 153.91/153.59 (~E(f327(f327(f136(x121331),x121332),x121333),x121333)), % 153.91/153.59 inference(rename_variables,[],[4334])). % 153.91/153.59 cnf(12136,plain, % 153.91/153.59 (E(f327(f327(f122(x121361),x121362),f112(x121361)),x121362)), % 153.91/153.59 inference(rename_variables,[],[3059])). % 153.91/153.59 cnf(12137,plain, % 153.91/153.59 (~E(f327(f327(f136(x121371),x121372),x121373),x121373)), % 153.91/153.59 inference(rename_variables,[],[4334])). % 153.91/153.59 cnf(12140,plain, % 153.91/153.59 (E(f327(f327(f122(x121401),x121402),f112(x121401)),x121402)), % 153.91/153.59 inference(rename_variables,[],[3059])). % 153.91/153.59 cnf(12149,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x121491,a831)),x121492),f234(f841(x121491,a831))))), % 153.91/153.59 inference(rename_variables,[],[3498])). % 153.91/153.59 cnf(12153,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x121531),x121531))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(12154,plain, % 153.91/153.59 (~E(f327(a111,x121541),x121541)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(12157,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x121571,a831)),f176(f841(x121571,a831))),x121572))), % 153.91/153.59 inference(rename_variables,[],[3567])). % 153.91/153.59 cnf(12160,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x121601),x121601))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12163,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x121631,a831)),x121632),x121632))), % 153.91/153.59 inference(rename_variables,[],[3420])). % 153.91/153.59 cnf(12168,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x121681,a831)),x121682),f327(f327(f297(x121681),x121683),x121682)))), % 153.91/153.59 inference(rename_variables,[],[3565])). % 153.91/153.59 cnf(12171,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x121711,a831)),x121712),x121712))), % 153.91/153.59 inference(rename_variables,[],[3420])). % 153.91/153.59 cnf(12172,plain, % 153.91/153.59 (~P134(f327(f327(f329(x121721),x121722),f176(f841(x121721,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(12175,plain, % 153.91/153.59 (~P134(f327(f327(f329(x121751),x121752),f176(f841(x121751,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(12182,plain, % 153.91/153.59 (P28(x121821,x121821,f7(x121821),x121822)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(12185,plain, % 153.91/153.59 (~P134(f327(f327(f329(x121851),x121852),f176(f841(x121851,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(12188,plain, % 153.91/153.59 (P134(f327(f327(f329(x121881),f327(x121882,x121883)),f327(f298(x121884,x121881,x121882),f234(f841(x121884,a831)))))), % 153.91/153.59 inference(rename_variables,[],[3722])). % 153.91/153.59 cnf(12189,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(x121891,x121891)),f327(f327(f236(x121891,x121891),x121892),x121892)),f295(x121891,x121893)))), % 153.91/153.59 inference(rename_variables,[],[3751])). % 153.91/153.59 cnf(12192,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(x121921,x121921)),f327(f327(f236(x121921,x121921),x121922),x121922)),f295(x121921,x121923)))), % 153.91/153.59 inference(rename_variables,[],[3751])). % 153.91/153.59 cnf(12195,plain, % 153.91/153.59 (P134(f327(f66(x121951),f327(f154(x121951),x121952)))), % 153.91/153.59 inference(rename_variables,[],[3165])). % 153.91/153.59 cnf(12200,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(f835(x122001),f835(x122001))),f327(f327(f236(f835(x122001),f835(x122001)),f112(x122001)),f112(x122001))),f327(f327(f276(f835(x122001),f835(x122001),f835(x122001)),f142(x122001,x122002)),f142(x122001,x122002))))), % 153.91/153.59 inference(scs_inference,[],[2742,3342,11839,3366,10811,11874,11977,12074,12112,12120,12129,3374,3375,3423,3030,11369,3096,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,11516,4275,11096,3003,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,11944,12104,3178,4312,10214,10311,10651,2745,2752,2764,2767,2768,2769,2771,2772,2773,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2804,2807,2811,2820,2823,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4298,3059,12132,12136,12140,3068,3578,3884,2964,4320,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3002,3136,11836,3181,10585,11938,3057,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,10999,12100,12133,4343,12108,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,12123,3751,10753,10872,10936,12084,12090,12189,4416,10689,10879,10993,11013,11049,11055,12029,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,11980,12107,3481,4179,4180,4331,11111,3426,3631,3680,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,11903,3570,11343,3109,3205,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,12032,4404,11226,11253,11293,11323,3557,3333,3705,3151,3153,3126,4385,4328,3507,3313,4405,3891,11010,3445,3667,11485,11488,3165,11948,12054,3858,3813,11640,11995,3761,11804,3808,10756,11869,11947,12007,12053,3482,11650,11799,11879,11928,3847,3498,10759,10821,10906,10965,11820,11893,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,11988,12057,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,3125,10575,10638,11918,3199,11852,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,11962,12060,12063,3279,10383,10641,10686,10954,11030,11189,11438,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,11889,12038,12081,12087,12172,12175,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,3145,10590,10664,11386,11550,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,10724,11554,3871,3722,11075,11415,11419,11482,12111,12119,3565,10702,10708,10719,11672,11892,3420,10921,12035,12045,12116,12163,3567,10782,10933,10959,10970,12001,12115,3392,10369,10372,10441,10617,4414,11340,4415,10497,11061,11983,11992,4002,10578,12004,12018,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996,5997,5998,6036,6037,6053,6110,6144,6146,6147,6171,6172,6174,6178,6179,6187,6203,6220,6240,6241,6246,6257,6258,6261,6274,6295,6299,6301,6315,6316,6320,6322,6323,6324,6326,6328,6329,6330,6338,6345,6346,6347,6348,6354,6356,6399,6405,6420,6423,6424,6425,6459,6461,6464,6469,6470,6481,6484,6498,6523,6524,6525,6526,6537,6541,6557,6561,6584,6606,6621,6622,6623,6628,6641,6663,6665,6667,6669,6672,6673,6679,6681,6694,6702,6741,6744,6745,6761,6762,6763,6764,6783,6784,6801,6828,6849,6859,6861,6862,6864,6866,6867,6905,6906,6907,6912,6913,6915,6917,6918,6919,6941,6949,6950,6964,6974,7018,7027,7033,7041,7052,7057,7059,7065,7086,7103,7121,7123,7133,7139,7200,7202,7203,7204,7213,7214,7220,7222,7245,7290,7308,7325,7341,7342,7358,7386,7390,7413,7440,7459,7462,7463,7473,7491,7492,7494,7496,7498,7500,7501,7502,7553,7554,7587,7589,7590,7591,7597,7616,7625,7635,7640,7646,7648,7654,7665,7666,7668,7695,7721,7751,7789,7790,7837,7844,7845,7867,7868,7887,7888,7945,7946,7947,7969,7970,8002,8005,8010,8019,8033,8061,8065,8071,8084,8103,8108,8130,8172,8200,8212,8229,8232,8260,8287,8344,8345,8348,8349,8363,8450,8451,8452,8453,8476,8500,8522,8564,8582,8636,8677,8680,8693,8730,8746,8762,8763,8778,8779,8903,8908,8926,8942,8962,8964,8967,8970,8972,8973,8985,8986,9009,9082,9119,9120,9185,9190,9224])). % 153.91/153.59 cnf(12202,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(x122021,x122021)),f327(f327(f236(x122021,x122021),x122022),x122022)),f327(f327(f276(x122021,x122021,x122021),f295(x122021,x122023)),f295(x122021,f295(x122021,x122023)))))), % 153.91/153.59 inference(scs_inference,[],[2742,3342,11839,3366,10811,11874,11977,12074,12112,12120,12129,3374,3375,3423,3030,11369,3096,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,11516,4275,11096,3003,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,11944,12104,3178,4312,10214,10311,10651,2745,2752,2764,2767,2768,2769,2771,2772,2773,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2804,2807,2811,2820,2823,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4298,3059,12132,12136,12140,3068,3578,3884,2964,4320,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3002,3136,11836,3181,10585,11938,3057,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,10999,12100,12133,4343,12108,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,12123,3751,10753,10872,10936,12084,12090,12189,12192,4416,10689,10879,10993,11013,11049,11055,12029,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,11980,12107,3481,4179,4180,4331,11111,3426,3631,3680,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,11903,3570,11343,3109,3205,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,12032,4404,11226,11253,11293,11323,3557,3333,3705,3151,3153,3126,4385,4328,3507,3313,4405,3891,11010,3445,3667,11485,11488,3165,11948,12054,3858,3813,11640,11995,3761,11804,3808,10756,11869,11947,12007,12053,3482,11650,11799,11879,11928,3847,3498,10759,10821,10906,10965,11820,11893,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,11988,12057,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,3125,10575,10638,11918,3199,11852,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,11962,12060,12063,3279,10383,10641,10686,10954,11030,11189,11438,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,11889,12038,12081,12087,12172,12175,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,3145,10590,10664,11386,11550,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,10724,11554,3871,3722,11075,11415,11419,11482,12111,12119,3565,10702,10708,10719,11672,11892,3420,10921,12035,12045,12116,12163,3567,10782,10933,10959,10970,12001,12115,3392,10369,10372,10441,10617,4414,11340,4415,10497,11061,11983,11992,4002,10578,12004,12018,3902,3598,3544,4412,10062,10065,10396,10399,11223,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996,5997,5998,6036,6037,6053,6110,6144,6146,6147,6171,6172,6174,6178,6179,6187,6203,6220,6240,6241,6246,6257,6258,6261,6274,6295,6299,6301,6315,6316,6320,6322,6323,6324,6326,6328,6329,6330,6338,6345,6346,6347,6348,6354,6356,6399,6405,6420,6423,6424,6425,6459,6461,6464,6469,6470,6481,6484,6498,6523,6524,6525,6526,6537,6541,6557,6561,6584,6606,6621,6622,6623,6628,6641,6663,6665,6667,6669,6672,6673,6679,6681,6694,6702,6741,6744,6745,6761,6762,6763,6764,6783,6784,6801,6828,6849,6859,6861,6862,6864,6866,6867,6905,6906,6907,6912,6913,6915,6917,6918,6919,6941,6949,6950,6964,6974,7018,7027,7033,7041,7052,7057,7059,7065,7086,7103,7121,7123,7133,7139,7200,7202,7203,7204,7213,7214,7220,7222,7245,7290,7308,7325,7341,7342,7358,7386,7390,7413,7440,7459,7462,7463,7473,7491,7492,7494,7496,7498,7500,7501,7502,7553,7554,7587,7589,7590,7591,7597,7616,7625,7635,7640,7646,7648,7654,7665,7666,7668,7695,7721,7751,7789,7790,7837,7844,7845,7867,7868,7887,7888,7945,7946,7947,7969,7970,8002,8005,8010,8019,8033,8061,8065,8071,8084,8103,8108,8130,8172,8200,8212,8229,8232,8260,8287,8344,8345,8348,8349,8363,8450,8451,8452,8453,8476,8500,8522,8564,8582,8636,8677,8680,8693,8730,8746,8762,8763,8778,8779,8903,8908,8926,8942,8962,8964,8967,8970,8972,8973,8985,8986,9009,9082,9119,9120,9185,9190,9224,9235])). % 153.91/153.59 cnf(12208,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x122081,a831)),x122082),f234(f841(x122081,a831))))), % 153.91/153.59 inference(rename_variables,[],[3498])). % 153.91/153.59 cnf(12211,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(x122111,x122111)),f327(f327(f236(x122111,x122111),x122112),x122112)),f295(x122111,x122113)))), % 153.91/153.59 inference(rename_variables,[],[3751])). % 153.91/153.59 cnf(12214,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),f327(f327(f84(a834),x122141),x122142)),x122142))), % 153.91/153.59 inference(rename_variables,[],[4412])). % 153.91/153.59 cnf(12215,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x122151),f327(a111,x122151)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(12218,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x122181,a831)),x122182),f234(f841(x122181,a831))))), % 153.91/153.59 inference(rename_variables,[],[3498])). % 153.91/153.59 cnf(12221,plain, % 153.91/153.59 (E(f37(x122211,x122212,x122213,x122214,x122215,x122216,x122217,x122218,x122219,a25),x122212)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(12228,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(f840(f835(x122281),f835(x122281)),f840(f835(x122281),f835(x122281)))),f579(f295(f840(f835(x122281),f835(x122281)),x122282),f131(x122281,x122283),f840(f835(x122281),f835(x122281)))),f295(f840(f835(x122281),f835(x122281)),x122282)))), % 153.91/153.59 inference(scs_inference,[],[2742,3342,11839,3366,10811,11874,11977,12074,12112,12120,12129,3374,3375,3423,3030,11369,3096,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,11516,12050,4275,11096,3003,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,11944,12104,3178,4312,10214,10311,10651,2745,2752,2764,2767,2768,2769,2771,2772,2773,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2804,2807,2811,2820,2823,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4298,3457,3059,12132,12136,12140,3068,3578,3884,2964,4320,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3002,3136,11836,3181,10585,11938,3057,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,10999,12100,12133,4343,12108,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,12123,3751,10753,10872,10936,12084,12090,12189,12192,12211,4416,10689,10879,10993,11013,11049,11055,12029,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,11980,12107,3481,4179,4180,4331,11111,3426,3631,3680,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,11903,3570,11343,3109,3205,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,12032,4404,11226,11253,11293,11323,3557,3333,3705,3151,3153,3126,4385,4328,3507,3313,4405,3891,11010,3445,3667,11485,11488,3165,11948,12054,3858,3813,11640,11995,3761,11804,3808,10756,11869,11947,12007,12053,3482,11650,11799,11879,11928,3847,3498,10759,10821,10906,10965,11820,11893,12149,12208,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,11988,12057,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,3125,10575,10638,11918,3199,11852,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,11962,12060,12063,3279,10383,10641,10686,10954,11030,11189,11438,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,11889,12038,12081,12087,12172,12175,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,3145,10590,10664,11386,11550,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4411,10009,10012,10271,10724,11554,3871,3722,11075,11415,11419,11482,12111,12119,3565,10702,10708,10719,11672,11892,3420,10921,12035,12045,12116,12163,3895,3567,10782,10933,10959,10970,12001,12115,3392,10369,10372,10441,10617,4414,11340,4415,10497,11061,11983,11992,12041,4002,10578,12004,12018,3902,3598,3544,4412,10062,10065,10396,10399,11223,11416,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8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% 153.91/153.59 cnf(12232,plain, % 153.91/153.59 (~P134(f327(f327(f329(x122321),x122322),f176(f841(x122321,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(12233,plain, % 153.91/153.59 (P134(f327(f327(f329(f840(f835(x122331),f835(x122331))),f327(f327(f236(f835(x122331),f835(x122331)),f112(x122331)),f112(x122331))),f142(x122331,x122332)))), % 153.91/153.59 inference(rename_variables,[],[3897])). % 153.91/153.59 cnf(12238,plain, % 153.91/153.59 (~P134(f327(f327(f329(x122381),x122382),f176(f841(x122381,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(12241,plain, % 153.91/153.59 (~P134(f327(f327(f329(x122411),x122412),f176(f841(x122411,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(12244,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x122441),x122441))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12246,plain, % 153.91/153.59 (~P134(f327(f327(f329(f840(f835(x122461),f835(x122461))),f327(f327(f236(f835(x122461),f835(x122461)),x122462),x122462)),f133(x122461,f327(f327(f276(x122461,x122463,x122461),x122464),f176(f841(f840(x122463,x122461),a831))))))), % 153.91/153.59 inference(scs_inference,[],[2742,3342,11839,3366,10811,11874,11977,12074,12112,12120,12129,3374,3375,3423,3030,11369,3096,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,11516,12050,4275,11096,3003,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,11944,12104,3178,4312,10214,10311,10651,2745,2752,2764,2767,2768,2769,2771,2772,2773,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2804,2807,2811,2820,2823,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4298,3457,3059,12132,12136,12140,3068,3578,3884,2964,4320,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3002,3136,11836,3181,10585,11938,3057,3058,3078,10253,3227,4408,3750,4334,10043,10211,10494,10999,12100,12133,4343,12108,3116,11457,4398,3516,3111,3228,3018,3019,10108,10411,3283,3044,11120,3897,12123,12233,3751,10753,10872,10936,12084,12090,12189,12192,12211,4416,10689,10879,10993,11013,11049,11055,12029,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,11980,12107,3481,4179,4180,4331,11111,3426,3631,3680,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,11903,3570,11343,3109,3205,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,12032,4404,11226,11253,11293,11323,3557,3333,3705,3151,3153,3126,4385,4328,3507,3313,4405,3891,11010,3445,3667,11485,11488,3165,11948,12054,3858,3813,11640,11995,3761,11804,3808,10756,11869,11947,12007,12053,3482,11650,11799,11879,11928,3847,3498,10759,10821,10906,10965,11820,11893,12149,12208,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,11988,12057,12160,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,3125,10575,10638,11918,3199,11852,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,11962,12060,12063,12153,3279,10383,10641,10686,10954,11030,11189,11438,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,11889,12038,12081,12087,12172,12175,12185,12232,12238,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,3145,10590,10664,11386,11550,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4038,4411,10009,10012,10271,10724,11554,3871,3722,11075,11415,11419,11482,12111,12119,3565,10702,10708,10719,11672,11892,3420,10921,12035,12045,12116,12163,3895,3567,10782,10933,10959,10970,12001,12115,3392,10369,10372,10441,10617,4414,11340,4415,10497,11061,11983,11992,12041,4002,10578,12004,12018,3902,3598,3544,4412,10062,10065,10396,10399,11223,11416,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,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% 153.91/153.59 cnf(12247,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x122471),x122471))), % 153.91/153.59 inference(rename_variables,[],[4384])). % 153.91/153.59 cnf(12250,plain, % 153.91/153.59 (P134(f327(f327(f329(x122501),x122502),f234(f841(x122501,a831))))), % 153.91/153.59 inference(rename_variables,[],[3279])). % 153.91/153.59 cnf(12253,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x122531,a831)),x122532),x122532))), % 153.91/153.59 inference(rename_variables,[],[3420])). % 153.91/153.59 cnf(12256,plain, % 153.91/153.59 (~P134(f327(f327(f329(x122561),x122562),f176(f841(x122561,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(12259,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),f2(a1)),f327(f327(f237(a1),f327(f79(a1),x122591)),x122592)))), % 153.91/153.59 inference(rename_variables,[],[3598])). % 153.91/153.59 cnf(12262,plain, % 153.91/153.59 (~E(f327(a111,x122621),x122621)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(12264,plain, % 153.91/153.59 (E(f37(x122641,x122642,x122643,x122644,x122645,x122646,x122647,x122648,x122649,a25),x122642)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(12266,plain, % 153.91/153.59 (E(f37(x122661,x122662,x122663,x122664,x122665,x122666,x122667,x122668,x122669,a25),x122662)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(12271,plain, % 153.91/153.59 (P36(a25,x122711,x122711)), % 153.91/153.59 inference(rename_variables,[],[3030])). % 153.91/153.59 cnf(12275,plain, % 153.91/153.59 (P38(a25,x122751,x122752,x122751)), % 153.91/153.59 inference(rename_variables,[],[3342])). % 153.91/153.59 cnf(12277,plain, % 153.91/153.59 (P38(a25,x122771,x122772,x122771)), % 153.91/153.59 inference(rename_variables,[],[3342])). % 153.91/153.59 cnf(12281,plain, % 153.91/153.59 (E(f37(x122811,x122812,x122813,x122814,x122815,x122816,x122817,x122818,x122819,a25),x122812)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(12283,plain, % 153.91/153.59 (E(f37(x122831,x122832,x122833,x122834,x122835,x122836,x122837,x122838,x122839,a25),x122832)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(12285,plain, % 153.91/153.59 (E(f37(x122851,x122852,x122853,x122854,x122855,x122856,x122857,x122858,x122859,a25),x122852)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(12294,plain, % 153.91/153.59 (P28(x122941,x122941,f7(x122941),x122942)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(12296,plain, % 153.91/153.59 (P28(x122961,x122961,f7(x122961),x122962)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(12305,plain, % 153.91/153.59 (E(f176(f841(f840(x123051,x123051),a831)),f255(x123051,f176(f841(x123051,a831))))), % 153.91/153.59 inference(rename_variables,[],[3194])). % 153.91/153.59 cnf(12306,plain, % 153.91/153.59 (P33(a87,f327(f327(f275(a834,f2(a1)),a232),x123061))), % 153.91/153.59 inference(scs_inference,[],[2742,3342,11839,11856,12275,12277,3366,10811,11874,11977,12074,12112,12120,12129,12182,12294,3374,3375,12013,3423,3030,11369,11382,12271,3096,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,11516,12050,12221,12264,12266,12281,12283,4275,11096,3422,3003,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,11944,12104,12154,3178,4312,10214,10311,10651,2745,2752,2764,2767,2768,2769,2771,2772,2773,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2804,2807,2811,2820,2823,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4295,2996,4298,3457,3059,12132,12136,12140,3068,3578,3884,2964,4320,4373,10747,11041,11044,3670,11131,3022,2988,2983,2971,2978,3982,10924,3002,3136,11836,11971,3181,10585,11938,3057,3058,3078,10253,3227,4408,10182,3750,4334,10043,10211,10494,10999,12100,12133,4343,12108,3116,11457,4398,3516,3111,3228,10828,3446,3194,3018,3019,10108,10411,3283,3044,11120,3897,12123,12233,3751,10753,10872,10936,12084,12090,12189,12192,12211,4416,10689,10879,10993,11013,11049,11055,12029,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,11980,12107,3481,4179,4180,4331,11111,3426,3631,3680,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,11903,3570,11343,3109,3205,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,12032,4404,11226,11253,11293,11323,3557,3333,3705,3151,3153,3126,4385,4328,3507,3313,4405,3891,11010,3445,3667,11485,11488,3165,11948,12054,3858,3813,11640,11995,3761,11804,3808,10756,11869,11947,12007,12053,3482,11650,11799,11879,11928,3847,3498,10759,10821,10906,10965,11820,11893,12149,12208,12218,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,11988,12057,12160,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,3125,10575,10638,11918,3199,11852,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,11962,12060,12063,12153,3279,10383,10641,10686,10954,11030,11189,11438,12103,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,11889,12038,12081,12087,12172,12175,12185,12232,12238,12241,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,3145,10590,10664,11386,11550,3599,3942,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4038,4411,10009,10012,10271,10724,11554,3871,3722,11075,11415,11419,11482,12111,12119,3565,10702,10708,10719,11672,11892,3420,10921,12035,12045,12116,12163,12171,3895,3567,10782,10933,10959,10970,12001,12115,3392,10369,10372,10441,10617,4414,11340,4415,10497,11061,11983,11992,12041,4002,10578,12004,12018,3902,3598,3544,4412,10062,10065,10396,10399,11223,11416,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343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% 153.91/153.59 cnf(12310,plain, % 153.91/153.59 (E(f37(x123101,x123102,x123103,x123104,x123105,x123106,x123107,x123108,x123109,a25),x123102)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(12312,plain, % 153.91/153.59 (P39(x123121,x123122,x123123,x123124,f176(f841(x123121,a831)),x123124)), % 153.91/153.59 inference(rename_variables,[],[4064])). % 153.91/153.59 cnf(12315,plain, % 153.91/153.59 (P39(x123151,x123152,x123153,x123154,f176(f841(x123151,a831)),x123154)), % 153.91/153.59 inference(rename_variables,[],[4064])). % 153.91/153.59 cnf(12319,plain, % 153.91/153.59 (P19(x123191,f841(x123191,a831),f297(x123191))), % 153.91/153.59 inference(rename_variables,[],[3099])). % 153.91/153.59 cnf(12327,plain, % 153.91/153.59 (E(f37(x123271,x123272,x123273,x123274,x123275,x123276,x123277,x123278,x123279,a25),x123272)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(12329,plain, % 153.91/153.59 (P45(x123291,x123292,f255(x123291,x123292))), % 153.91/153.59 inference(rename_variables,[],[3095])). % 153.91/153.59 cnf(12331,plain, % 153.91/153.59 (P45(x123311,x123312,f255(x123311,x123312))), % 153.91/153.59 inference(rename_variables,[],[3095])). % 153.91/153.59 cnf(12335,plain, % 153.91/153.59 (P51(x123351,x123351,f255(x123351,x123352))), % 153.91/153.59 inference(rename_variables,[],[3096])). % 153.91/153.59 cnf(12342,plain, % 153.91/153.59 (P52(x123421,f176(f841(x123421,a831)),x123422)), % 153.91/153.59 inference(rename_variables,[],[3143])). % 153.91/153.59 cnf(12349,plain, % 153.91/153.59 (E(f37(x123491,x123492,x123493,x123494,x123495,x123496,x123497,x123498,x123499,a25),x123492)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(12354,plain, % 153.91/153.59 (E(f37(x123541,x123542,x123543,x123544,x123545,x123546,x123547,x123548,x123549,a25),x123542)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(12359,plain, % 153.91/153.59 (P34(x123591,f179(x123591))), % 153.91/153.59 inference(rename_variables,[],[2961])). % 153.91/153.59 cnf(12368,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x123681),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(12377,plain, % 153.91/153.59 (~P134(f327(f327(f228(a1),f327(f99(a1),x123771)),f327(f83(a1),f327(f99(a1),x123772))))), % 153.91/153.59 inference(rename_variables,[],[4410])). % 153.91/153.59 cnf(12383,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),f327(f43(x123831),f327(f154(x123831),x123832))),f327(f177(f835(x123831)),x123832)))), % 153.91/153.59 inference(rename_variables,[],[3663])). % 153.91/153.59 cnf(12387,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x123871),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(12390,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x123901),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(12393,plain, % 153.91/153.59 (P134(f327(f66(a834),f292(a834,x123931,x123932)))), % 153.91/153.59 inference(rename_variables,[],[3334])). % 153.91/153.59 cnf(12396,plain, % 153.91/153.59 (P134(f327(f66(a834),f292(a834,x123961,x123962)))), % 153.91/153.59 inference(rename_variables,[],[3334])). % 153.91/153.59 cnf(12399,plain, % 153.91/153.59 (P134(f327(f66(a834),f292(a834,x123991,x123992)))), % 153.91/153.59 inference(rename_variables,[],[3334])). % 153.91/153.59 cnf(12402,plain, % 153.91/153.59 (P134(f327(f66(a834),f292(a834,x124021,x124022)))), % 153.91/153.59 inference(rename_variables,[],[3334])). % 153.91/153.59 cnf(12409,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),f327(f83(a1),f327(f99(a1),x124091))),f327(f99(a1),x124092)))), % 153.91/153.59 inference(rename_variables,[],[3599])). % 153.91/153.59 cnf(12412,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x124121),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(12413,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x124131),x124131))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12420,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x124201),f327(a111,x124201)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(12426,plain, % 153.91/153.59 (P134(f327(f327(f329(x124261),f327(x124262,x124263)),f327(f298(x124264,x124261,x124262),f234(f841(x124264,a831)))))), % 153.91/153.59 inference(rename_variables,[],[3722])). % 153.91/153.59 cnf(12427,plain, % 153.91/153.59 (~E(f327(a111,x124271),f2(a834))), % 153.91/153.59 inference(rename_variables,[],[4312])). % 153.91/153.59 cnf(12429,plain, % 153.91/153.59 (~P134(f327(f327(f228(a1),f2(a1)),f327(f103(a1),f2(a1))))), % 153.91/153.59 inference(scs_inference,[],[2742,3342,11839,11856,12275,12277,3366,10811,11874,11977,12074,12112,12120,12129,12182,12294,3374,11941,3375,12013,3423,3030,11369,11382,12271,3095,12329,12331,3096,12335,4064,12312,12315,3099,12319,2939,2961,12359,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,11516,12050,12221,12264,12266,12281,12283,12285,12310,12327,12349,4275,11096,3422,3003,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,11944,12104,12154,3178,3143,12342,4312,10214,10311,10651,10804,2745,2752,2764,2767,2768,2769,2771,2772,2773,2779,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2804,2807,2811,2820,2823,2824,2849,2869,2879,2880,2885,2896,2899,2901,2902,2910,2912,4295,2996,4298,3457,3107,3059,12132,12136,12140,3068,3578,3884,2964,4320,4332,4373,10747,11041,11044,3670,11131,3022,2988,2983,3782,3496,2971,2950,2933,2978,3982,10924,3002,3136,11836,11971,3181,10585,11938,3057,3058,3078,10253,3227,4408,10182,3750,4334,10043,10211,10494,10999,12100,12133,4343,12108,3116,11457,4398,3516,3111,3228,10828,3446,3194,12305,3018,3019,10108,10411,3283,3010,3044,11120,3897,12123,12233,3751,10753,10872,10936,12084,12090,12189,12192,12211,4416,10689,10879,10993,11013,11049,11055,12029,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,11980,12107,3481,4179,4180,4331,11111,3426,3460,3631,3680,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,11903,12215,3570,11343,3109,3205,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,12032,12368,12387,12390,4404,11226,11253,11293,11323,3557,3333,3334,12393,12396,12399,3705,3151,3153,3126,4385,3017,4328,3507,3815,3313,4405,3891,11010,3445,3667,11485,11488,3165,11948,12054,3858,3813,11640,11995,3761,11804,3808,10756,11869,11947,12007,12053,3482,11650,11799,11879,11928,3847,3498,10759,10821,10906,10965,11820,11893,12149,12208,12218,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,11988,12057,12160,12244,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,3125,10575,10638,11918,3199,11852,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,11962,12060,12063,12153,3279,10383,10641,10686,10954,11030,11189,11438,12103,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,11889,12038,12081,12087,12172,12175,12185,12232,12238,12241,3185,10408,10438,3223,3218,3637,3575,10089,11346,11385,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,3145,10590,10664,11386,11550,3599,11491,3942,3339,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4038,4411,10009,10012,10271,10724,11554,3871,12021,3722,11075,11415,11419,11482,12111,12119,12188,3565,10702,10708,10719,11672,11892,3420,10921,12035,12045,12116,12163,12171,3895,3567,10782,10933,10959,10970,12001,12115,3663,12383,3392,10369,10372,10441,10617,4414,11340,4410,12377,4415,10497,11061,11983,11992,12041,4002,10578,12004,12018,3902,3598,3544,11474,4412,10062,10065,10396,10399,11223,11416,4413,11320,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,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% 153.91/153.59 cnf(12432,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x124321),x124321))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(12435,plain, % 153.91/153.59 (P134(f327(f66(a834),f292(a834,x124351,x124352)))), % 153.91/153.59 inference(rename_variables,[],[3334])). % 153.91/153.59 cnf(12438,plain, % 153.91/153.59 (P134(f327(f66(a834),f292(a834,x124381,x124382)))), % 153.91/153.59 inference(rename_variables,[],[3334])). % 153.91/153.59 cnf(12441,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x124411),x124411))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12454,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x124541),f327(a111,x124541)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(12459,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),f53(a834,x124591,x124592)),x124591))), % 153.91/153.59 inference(rename_variables,[],[3575])). % 153.91/153.59 cnf(12468,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x124681),f327(a111,x124681)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(12469,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x124691),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(12478,plain, % 153.91/153.59 (~P134(f327(f327(f228(a1),f327(f99(a1),x124781)),f2(a1)))), % 153.91/153.59 inference(rename_variables,[],[4404])). % 153.91/153.59 cnf(12479,plain, % 153.91/153.59 (P134(f327(f234(f841(x124791,a831)),x124792))), % 153.91/153.59 inference(rename_variables,[],[3185])). % 153.91/153.59 cnf(12482,plain, % 153.91/153.59 (~P134(f327(f327(f228(a1),f327(f99(a1),x124821)),f2(a1)))), % 153.91/153.59 inference(rename_variables,[],[4404])). % 153.91/153.59 cnf(12483,plain, % 153.91/153.59 (P134(f327(f234(f841(x124831,a831)),x124832))), % 153.91/153.59 inference(rename_variables,[],[3185])). % 153.91/153.59 cnf(12486,plain, % 153.91/153.59 (P134(f327(f234(f841(x124861,a831)),x124862))), % 153.91/153.59 inference(rename_variables,[],[3185])). % 153.91/153.59 cnf(12489,plain, % 153.91/153.59 (P134(f327(f234(f841(x124891,a831)),x124892))), % 153.91/153.59 inference(rename_variables,[],[3185])). % 153.91/153.59 cnf(12497,plain, % 153.91/153.59 (~P134(f327(f327(f329(x124971),x124972),f176(f841(x124971,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(12498,plain, % 153.91/153.59 (P134(f327(f66(x124981),f176(f841(x124981,a831))))), % 153.91/153.59 inference(rename_variables,[],[3199])). % 153.91/153.59 cnf(12501,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x125011),x125011))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12510,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),f2(a834)),x125101))), % 153.91/153.59 inference(rename_variables,[],[3145])). % 153.91/153.59 cnf(12513,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x125131),f327(a111,x125131)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(12514,plain, % 153.91/153.59 (~E(f327(a111,x125141),x125141)), % 153.91/153.59 inference(rename_variables,[],[4300])). % 153.91/153.59 cnf(12517,plain, % 153.91/153.59 (~P134(f327(f327(f329(x125171),x125172),f176(f841(x125171,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(12520,plain, % 153.91/153.59 (~P134(f327(f327(f329(x125201),x125202),f176(f841(x125201,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(12525,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x125251),x125251))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12532,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x125321),x125321))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12536,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x125361),f327(a111,x125361)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(12539,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x125391),x125391))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12544,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x125441),x125441))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12547,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x125471),x125471))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12550,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x125501),x125501))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12553,plain, % 153.91/153.59 (E(f327(f327(f3(f841(x125531,a831)),f176(f841(x125531,a831))),x125532),f176(f841(x125531,a831)))), % 153.91/153.59 inference(rename_variables,[],[3394])). % 153.91/153.59 cnf(12554,plain, % 153.91/153.59 (P134(f327(f66(x125541),f176(f841(x125541,a831))))), % 153.91/153.59 inference(rename_variables,[],[3199])). % 153.91/153.59 cnf(12557,plain, % 153.91/153.59 (E(f327(f327(f3(f841(x125571,a831)),f176(f841(x125571,a831))),x125572),f176(f841(x125571,a831)))), % 153.91/153.59 inference(rename_variables,[],[3394])). % 153.91/153.59 cnf(12558,plain, % 153.91/153.59 (P134(f327(f66(x125581),f176(f841(x125581,a831))))), % 153.91/153.59 inference(rename_variables,[],[3199])). % 153.91/153.59 cnf(12561,plain, % 153.91/153.59 (E(f327(f327(f3(f841(x125611,a831)),f176(f841(x125611,a831))),x125612),f176(f841(x125611,a831)))), % 153.91/153.59 inference(rename_variables,[],[3394])). % 153.91/153.59 cnf(12562,plain, % 153.91/153.59 (P134(f327(f66(x125621),f176(f841(x125621,a831))))), % 153.91/153.59 inference(rename_variables,[],[3199])). % 153.91/153.59 cnf(12565,plain, % 153.91/153.59 (E(f327(f327(f3(f841(x125651,a831)),f176(f841(x125651,a831))),x125652),f176(f841(x125651,a831)))), % 153.91/153.59 inference(rename_variables,[],[3394])). % 153.91/153.59 cnf(12566,plain, % 153.91/153.59 (P134(f327(f66(x125661),f176(f841(x125661,a831))))), % 153.91/153.59 inference(rename_variables,[],[3199])). % 153.91/153.59 cnf(12570,plain, % 153.91/153.59 (E(f37(x125701,x125702,x125703,x125704,x125705,x125706,x125707,x125708,x125709,a25),x125702)), % 153.91/153.59 inference(rename_variables,[],[4274])). % 153.91/153.59 cnf(12576,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x125761)),x125761))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(12579,plain, % 153.91/153.59 (E(f327(f327(f3(f841(x125791,a831)),f176(f841(x125791,a831))),x125792),f176(f841(x125791,a831)))), % 153.91/153.59 inference(rename_variables,[],[3394])). % 153.91/153.59 cnf(12580,plain, % 153.91/153.59 (P134(f327(f66(x125801),f176(f841(x125801,a831))))), % 153.91/153.59 inference(rename_variables,[],[3199])). % 153.91/153.59 cnf(12584,plain, % 153.91/153.59 (P134(f327(f66(x125841),f176(f841(x125841,a831))))), % 153.91/153.59 inference(rename_variables,[],[3199])). % 153.91/153.59 cnf(12587,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x125871),x125871))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12593,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x125931),x125931))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(12596,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x125961),f327(a111,x125961)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(12603,plain, % 153.91/153.59 (P134(f327(f327(f228(a834),x126031),f327(a111,x126031)))), % 153.91/153.59 inference(rename_variables,[],[3191])). % 153.91/153.59 cnf(12606,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x126061),x126061))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12617,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x126171),x126171))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12620,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x126201),x126201))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(12627,plain, % 153.91/153.59 (~P134(f327(f327(f329(x126271),x126272),f176(f841(x126271,a831))))), % 153.91/153.59 inference(rename_variables,[],[4400])). % 153.91/153.59 cnf(12638,plain, % 153.91/153.59 (P134(f327(f327(f329(x126381),x126382),f234(f841(x126381,a831))))), % 153.91/153.59 inference(rename_variables,[],[3279])). % 153.91/153.59 cnf(12644,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x126441,a831)),f327(f154(x126441),f327(f123(x126441,x126442),x126443))),f327(f154(x126441),x126443)))), % 153.91/153.59 inference(rename_variables,[],[3761])). % 153.91/153.59 cnf(12650,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x126501),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(12651,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x126511),x126511))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(12655,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x126551),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(12656,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x126561),x126561))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(12661,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x126611),x126611))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12668,plain, % 153.91/153.59 (E(f327(f327(f18(x126681,x126682),x126683),x126684),x126683)), % 153.91/153.59 inference(rename_variables,[],[3116])). % 153.91/153.59 cnf(12671,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x126711,a831)),f327(f154(x126711),f152(x126711,x126712,x126713))),f327(f154(x126711),x126713)))), % 153.91/153.59 inference(rename_variables,[],[3808])). % 153.91/153.59 cnf(12678,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x126781),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(12679,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x126791),x126791))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(12683,plain, % 153.91/153.59 (~P134(f327(f327(f228(a834),x126831),f2(a834)))), % 153.91/153.59 inference(rename_variables,[],[4388])). % 153.91/153.59 cnf(12684,plain, % 153.91/153.59 (P134(f327(f327(f227(a1),x126841),x126841))), % 153.91/153.59 inference(rename_variables,[],[3124])). % 153.91/153.59 cnf(12686,plain, % 153.91/153.59 (~P134(f327(f327(f228(f841(a834,a831)),f290(a834,f327(a111,x126861),f327(a111,x126861))),f290(a834,x126862,x126861)))), % 153.91/153.59 inference(scs_inference,[],[2742,3342,11839,11856,12275,12277,3366,10811,11874,11977,12074,12112,12120,12129,12182,12294,3374,11941,3375,12013,3423,3030,11369,11382,12271,3095,12329,12331,3096,12335,4064,12312,12315,3099,12319,2939,2961,12359,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,11516,12050,12221,12264,12266,12281,12283,12285,12310,12327,12349,12354,4275,11096,3422,3003,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,11944,12104,12154,12262,3178,3143,12342,4312,10214,10311,10651,10804,2745,2752,2764,2767,2768,2769,2771,2772,2773,2776,2779,2780,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2804,2807,2811,2817,2820,2823,2824,2841,2846,2849,2854,2855,2869,2879,2880,2881,2884,2885,2889,2892,2896,2899,2901,2902,2910,2912,4295,2996,4298,3457,3107,3447,3695,3059,12132,12136,12140,3068,3578,3884,2964,4320,4332,4373,10747,11041,11044,3670,11131,3022,2988,2983,3782,3496,2971,2950,2933,2978,3982,10924,3002,3136,11836,11971,3181,10585,11938,3057,3058,3078,10253,3227,4408,10182,3750,4334,10043,10211,10494,10999,12100,12133,4343,12108,3116,11457,11460,4398,3516,3111,3228,10828,3446,3194,12305,3018,3019,10108,10411,3283,3010,3044,11120,3897,12123,12233,3751,10753,10872,10936,12084,12090,12189,12192,12211,4416,10689,10879,10993,11013,11049,11055,12029,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,11980,12107,3481,4179,4180,4331,11111,3426,3460,3631,3394,12553,12557,12561,12565,12579,3680,11974,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,11903,12215,12420,12454,12468,12513,12536,12596,12603,3570,11343,3109,3205,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,12032,12368,12387,12390,12412,12469,12650,12655,12678,4404,11226,11253,11293,11323,12478,12482,3557,3333,3334,12393,12396,12399,12402,12435,3705,3151,3153,3126,4385,3017,4328,3507,3815,3313,4405,3891,11010,3445,3667,11485,11488,3165,11948,12054,12195,3858,3813,11640,11995,3761,11804,12008,3808,10756,11869,11947,12007,12053,3482,11650,11799,11879,11928,12026,3847,3498,10759,10821,10906,10965,11820,11893,12149,12208,12218,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,11988,12057,12160,12244,12413,12441,12501,12525,12532,12539,12544,12547,12550,12587,12606,12617,12661,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,11745,12432,12593,12620,12651,12656,12679,3125,10575,10638,11918,11921,3199,11852,12498,12554,12558,12562,12566,12580,12584,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,11962,12060,12063,12153,12247,3279,10383,10641,10686,10954,11030,11189,11438,12103,12250,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,11889,12038,12081,12087,12172,12175,12185,12232,12238,12241,12256,12497,12517,12520,3185,10408,10438,10985,12479,12483,12486,12489,3223,3218,3637,3575,10089,11346,11385,12459,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,12576,3145,10590,10664,11386,11550,11989,3599,11491,12409,3942,3339,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4038,4411,10009,10012,10271,10724,11554,3871,12021,3722,11075,11415,11419,11482,12111,12119,12188,3565,10702,10708,10719,11672,11892,3420,10921,12035,12045,12116,12163,12171,3895,3567,10782,10933,10959,10970,12001,12115,3663,12383,3280,3392,10369,10372,10441,10617,4414,11340,4410,12377,4415,10497,11061,11983,11992,12041,4002,10578,12004,12018,3902,3598,12259,3544,11474,4412,10062,10065,10396,10399,11223,11416,12214,4413,11320,11425,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996,5997,5998,6036,6037,6053,6110,6144,6146,6147,6171,6172,6174,6178,6179,6187,6203,6220,6240,6241,6246,6257,6258,6261,6274,6295,6299,6301,6315,6316,6320,6322,6323,6324,6326,6328,6329,6330,6338,6345,6346,6347,6348,6354,6356,6399,6405,6420,6423,6424,6425,6459,6461,6464,6469,6470,6481,6484,6498,6523,6524,6525,6526,6537,6541,6557,6561,6584,6606,6621,6622,6623,6628,6641,6663,6665,6667,6669,6672,6673,6679,6681,6694,6702,6741,6744,6745,6761,6762,6763,6764,6783,6784,6801,6828,6849,6859,6861,6862,6864,6866,6867,6905,6906,6907,6912,6913,6915,6917,6918,6919,6941,6949,6950,6964,6974,7018,7027,7033,7041,7052,7057,7059,7065,7086,7103,7121,7123,7133,7139,7200,7202,7203,7204,7213,7214,7220,7222,7245,7290,7308,7325,7341,7342,7358,7386,7390,7413,7440,7459,7462,7463,7473,7491,7492,7494,7496,7498,7500,7501,7502,7553,7554,7587,7589,7590,7591,7597,7616,7625,7635,7640,7646,7648,7654,7665,7666,7668,7695,7721,7751,7789,7790,7837,7844,7845,7867,7868,7887,7888,7945,7946,7947,7969,7970,8002,8005,8010,8019,8033,8061,8065,8071,8084,8103,8108,8130,8172,8200,8212,8229,8232,8260,8287,8344,8345,8348,8349,8363,8450,8451,8452,8453,8476,8500,8522,8564,8582,8636,8677,8680,8693,8730,8746,8762,8763,8778,8779,8903,8908,8926,8942,8962,8964,8967,8970,8972,8973,8985,8986,9009,9082,9119,9120,9185,9190,9224,9235,9239,9243,9244,9257,9280,9291,9300,9301,9303,9305,9332,9449,9530,9667,9668,9738,9884,9895,9900,3,2492,2494,2496,2497,2498,2502,2503,2512,2513,2515,2517,2519,2528,2530,2532,2533,2534,2536,2542,2543,2544,2545,2547,2553,2554,2555,2558,2559,2577,2585,2588,2589,2590,2591,2593,2594,2596,2600,2601,2606,2607,2608,2610,2611,2612,2621,2622,2623,2626,2627,2629,2652,2676,2677,2685,2691,2726,2734,2735,5122,5296,5302,5303,5381,5478,5508,5544,5560,5566,5568,5634,5635,5636,5637,5653,5690,5825,5872,5897,5933,5968,5972,6124,6131,6169,6170,6195,6197,6199,6205,6206,6207,6208,6209,6210,6211,6212,6213,6296,6368,6369,6457,6493,6494,6534,6535,6680,6693,6753,6774,6775,6778,6802,6826,6835,6837,6841,6889,6910,6911,6927,6928,6930,6963,7012,7013,7109,7179,7180,7181,7182,7198,7239,7251,7295,7296,7304,7313,7315,7327,7361,7362,7363,7364,7508,7509,7515,7516,7518,7520,7595,7727,7730,7732,7733,7748,7787,7864,7905,7954,7975,7976,8047,8143,8210,8211,8213,8245,8283,8309,8310,8391])). % 153.91/153.59 cnf(12687,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x126871),x126871))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12689,plain, % 153.91/153.59 (~P134(f327(f327(f227(f841(a834,a831)),f290(a834,f327(a111,x126891),f327(a111,x126891))),f290(a834,x126892,x126891)))), % 153.91/153.59 inference(scs_inference,[],[2742,3342,11839,11856,12275,12277,3366,10811,11874,11977,12074,12112,12120,12129,12182,12294,3374,11941,3375,12013,3423,3030,11369,11382,12271,3095,12329,12331,3096,12335,4064,12312,12315,3099,12319,2939,2961,12359,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,11516,12050,12221,12264,12266,12281,12283,12285,12310,12327,12349,12354,4275,11096,3422,3003,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,11944,12104,12154,12262,3178,3143,12342,4312,10214,10311,10651,10804,2745,2752,2764,2767,2768,2769,2771,2772,2773,2776,2779,2780,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2804,2807,2811,2817,2820,2823,2824,2841,2846,2849,2854,2855,2869,2879,2880,2881,2884,2885,2889,2892,2896,2899,2901,2902,2910,2912,4295,2996,4298,3457,3107,3447,3695,3059,12132,12136,12140,3068,3578,3884,2964,4320,4332,4373,10747,11041,11044,3670,11131,3022,2988,2983,3782,3496,2971,2950,2933,2978,3982,10924,3002,3136,11836,11971,3181,10585,11938,3057,3058,3078,10253,3227,4408,10182,3750,4334,10043,10211,10494,10999,12100,12133,4343,12108,3116,11457,11460,4398,3516,3111,3228,10828,3446,3194,12305,3018,3019,10108,10411,3283,3010,3044,11120,3897,12123,12233,3751,10753,10872,10936,12084,12090,12189,12192,12211,4416,10689,10879,10993,11013,11049,11055,12029,4417,10793,10882,10996,11052,4418,10885,4419,10946,4420,3041,3321,11980,12107,3481,4179,4180,4331,11111,3426,3460,3631,3394,12553,12557,12561,12565,12579,3680,11974,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,11903,12215,12420,12454,12468,12513,12536,12596,12603,3570,11343,3109,3205,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,12032,12368,12387,12390,12412,12469,12650,12655,12678,4404,11226,11253,11293,11323,12478,12482,3557,3333,3334,12393,12396,12399,12402,12435,3705,3151,3153,3126,4385,3017,4328,3507,3815,3313,4405,3891,11010,3445,3667,11485,11488,3165,11948,12054,12195,3858,3813,11640,11995,3761,11804,12008,3808,10756,11869,11947,12007,12053,3482,11650,11799,11879,11928,12026,3847,3498,10759,10821,10906,10965,11820,11893,12149,12208,12218,4409,10533,10890,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,11988,12057,12160,12244,12413,12441,12501,12525,12532,12539,12544,12547,12550,12587,12606,12617,12661,12687,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,11745,12432,12593,12620,12651,12656,12679,3125,10575,10638,11918,11921,3199,11852,12498,12554,12558,12562,12566,12580,12584,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,11962,12060,12063,12153,12247,3279,10383,10641,10686,10954,11030,11189,11438,12103,12250,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,11889,12038,12081,12087,12172,12175,12185,12232,12238,12241,12256,12497,12517,12520,3185,10408,10438,10985,12479,12483,12486,12489,3223,3218,3637,3575,10089,11346,11385,12459,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,12576,3145,10590,10664,11386,11550,11989,3599,11491,12409,3942,3339,4395,3645,4376,4377,4379,3102,3103,4378,4380,3435,4038,4411,10009,10012,10271,10724,11554,3871,12021,3722,11075,11415,11419,11482,12111,12119,12188,3565,10702,10708,10719,11672,11892,3420,10921,12035,12045,12116,12163,12171,3895,3567,10782,10933,10959,10970,12001,12115,3663,12383,3280,3392,10369,10372,10441,10617,4414,11340,4410,12377,4415,10497,11061,11983,11992,12041,4002,10578,12004,12018,3902,3598,12259,3544,11474,4412,10062,10065,10396,10399,11223,11416,12214,4413,11320,11425,3568,10366,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,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% 153.91/153.59 cnf(12690,plain, % 153.91/153.59 (P134(f327(f327(f227(a834),x126901),x126901))), % 153.91/153.59 inference(rename_variables,[],[3123])). % 153.91/153.59 cnf(12693,plain, % 153.91/153.59 (~P134(f327(f327(f227(a834),f327(a111,x126931)),x126931))), % 153.91/153.59 inference(rename_variables,[],[4397])). % 153.91/153.59 cnf(12699,plain, % 153.91/153.59 (P134(f327(f327(f329(x126991),f327(x126992,x126993)),f327(f298(x126994,x126991,x126992),f234(f841(x126994,a831)))))), % 153.91/153.59 inference(rename_variables,[],[3722])). % 153.91/153.59 cnf(12700,plain, % 153.91/153.59 (P28(x127001,x127001,f7(x127001),x127002)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(12705,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x127051,a831)),x127052),f234(f841(x127051,a831))))), % 153.91/153.59 inference(rename_variables,[],[3498])). % 153.91/153.59 cnf(12706,plain, % 153.91/153.59 (P28(x127061,x127061,f7(x127061),x127062)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(12710,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x127101,a831)),x127102),f234(f841(x127101,a831))))), % 153.91/153.59 inference(rename_variables,[],[3498])). % 153.91/153.59 cnf(12711,plain, % 153.91/153.59 (P28(x127111,x127111,f7(x127111),x127112)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(12715,plain, % 153.91/153.59 (P28(x127151,x127151,f7(x127151),x127152)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(12718,plain, % 153.91/153.59 (~P134(f327(f327(f228(f841(x127181,a831)),x127182),f176(f841(x127181,a831))))), % 153.91/153.59 inference(rename_variables,[],[4409])). % 153.91/153.59 cnf(12721,plain, % 153.91/153.59 (P28(x127211,x127211,f7(x127211),x127212)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(12724,plain, % 153.91/153.59 (P28(x127241,x127241,f7(x127241),x127242)), % 153.91/153.59 inference(rename_variables,[],[3366])). % 153.91/153.59 cnf(12735,plain, % 153.91/153.59 (P134(f327(f327(f227(f841(x127351,a831)),f176(f841(x127351,a831))),x127352))), % 153.91/153.60 inference(rename_variables,[],[3567])). % 153.91/153.60 cnf(12739,plain, % 153.91/153.60 (E(f37(x127391,x127392,x127393,x127394,x127395,x127396,x127397,x127398,x127399,a25),x127392)), % 153.91/153.60 inference(rename_variables,[],[4274])). % 153.91/153.60 cnf(12743,plain, % 153.91/153.60 (~P134(f327(f327(f329(x127431),x127432),f176(f841(x127431,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(12747,plain, % 153.91/153.60 (P134(f327(f327(f329(x127471),f327(x127472,x127473)),f327(f298(x127474,x127471,x127472),f234(f841(x127474,a831)))))), % 153.91/153.60 inference(rename_variables,[],[3722])). % 153.91/153.60 cnf(12748,plain, % 153.91/153.60 (P28(x127481,x127481,f7(x127481),x127482)), % 153.91/153.60 inference(rename_variables,[],[3366])). % 153.91/153.60 cnf(12755,plain, % 153.91/153.60 (E(f327(f327(f18(x127551,x127552),x127553),x127554),x127553)), % 153.91/153.60 inference(rename_variables,[],[3116])). % 153.91/153.60 cnf(12758,plain, % 153.91/153.60 (~P134(f327(f327(f329(x127581),x127582),f176(f841(x127581,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(12761,plain, % 153.91/153.60 (~P134(f327(f327(f329(x127611),x127612),f176(f841(x127611,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(12764,plain, % 153.91/153.60 (E(f37(x127641,x127642,x127643,x127644,x127645,x127646,x127647,x127648,x127649,a25),x127642)), % 153.91/153.60 inference(rename_variables,[],[4274])). % 153.91/153.60 cnf(12766,plain, % 153.91/153.60 (~E(f327(a111,x127661),x127661)), % 153.91/153.60 inference(rename_variables,[],[4300])). % 153.91/153.60 cnf(12769,plain, % 153.91/153.60 (P134(f327(f327(f274(a834),x127691),x127691))), % 153.91/153.60 inference(rename_variables,[],[3125])). % 153.91/153.60 cnf(12771,plain, % 153.91/153.60 (~E(f327(a111,x127711),x127711)), % 153.91/153.60 inference(rename_variables,[],[4300])). % 153.91/153.60 cnf(12775,plain, % 153.91/153.60 (E(f327(f327(f18(x127751,x127752),x127753),x127754),x127753)), % 153.91/153.60 inference(rename_variables,[],[3116])). % 153.91/153.60 cnf(12778,plain, % 153.91/153.60 (P134(f327(f327(f228(a834),x127781),f327(a111,x127781)))), % 153.91/153.60 inference(rename_variables,[],[3191])). % 153.91/153.60 cnf(12779,plain, % 153.91/153.60 (~E(f327(a111,x127791),x127791)), % 153.91/153.60 inference(rename_variables,[],[4300])). % 153.91/153.60 cnf(12782,plain, % 153.91/153.60 (P134(f327(f327(f228(a834),x127821),f327(a111,f327(f327(f84(a834),x127822),x127821))))), % 153.91/153.60 inference(rename_variables,[],[3568])). % 153.91/153.60 cnf(12783,plain, % 153.91/153.60 (P134(f327(f327(f228(a834),x127831),f327(a111,x127831)))), % 153.91/153.60 inference(rename_variables,[],[3191])). % 153.91/153.60 cnf(12787,plain, % 153.91/153.60 (~E(f327(a111,x127871),x127871)), % 153.91/153.60 inference(rename_variables,[],[4300])). % 153.91/153.60 cnf(12792,plain, % 153.91/153.60 (P134(f327(f327(f227(a1),f2(a1)),f327(f99(a1),x127921)))), % 153.91/153.60 inference(rename_variables,[],[3223])). % 153.91/153.60 cnf(12795,plain, % 153.91/153.60 (P134(f327(f327(f227(a1),f2(a1)),f327(f99(a1),x127951)))), % 153.91/153.60 inference(rename_variables,[],[3223])). % 153.91/153.60 cnf(12796,plain, % 153.91/153.60 (P134(f327(f327(f227(a1),x127961),x127961))), % 153.91/153.60 inference(rename_variables,[],[3124])). % 153.91/153.60 cnf(12799,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),f2(a834)),x127991))), % 153.91/153.60 inference(rename_variables,[],[3145])). % 153.91/153.60 cnf(12800,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),x128001),x128001))), % 153.91/153.60 inference(rename_variables,[],[3123])). % 153.91/153.60 cnf(12803,plain, % 153.91/153.60 (~E(f327(a111,x128031),f2(a834))), % 153.91/153.60 inference(rename_variables,[],[4312])). % 153.91/153.60 cnf(12806,plain, % 153.91/153.60 (P134(f327(f327(f227(a1),x128061),x128061))), % 153.91/153.60 inference(rename_variables,[],[3124])). % 153.91/153.60 cnf(12810,plain, % 153.91/153.60 (P134(f327(f327(f227(f841(x128101,a831)),f327(f154(x128101),f152(x128101,x128102,x128103))),f327(f154(x128101),x128103)))), % 153.91/153.60 inference(rename_variables,[],[3808])). % 153.91/153.60 cnf(12815,plain, % 153.91/153.60 (~P134(f327(f327(f329(x128151),x128152),f176(f841(x128151,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(12818,plain, % 153.91/153.60 (P134(f327(f66(a834),f292(a834,x128181,x128182)))), % 153.91/153.60 inference(rename_variables,[],[3334])). % 153.91/153.60 cnf(12819,plain, % 153.91/153.60 (E(f327(f327(f175(a834),f327(a111,x128191)),f327(a111,x128192)),f327(a111,f327(f327(f175(a834),x128191),x128192)))), % 153.91/153.60 inference(rename_variables,[],[3294])). % 153.91/153.60 cnf(12822,plain, % 153.91/153.60 (P134(f327(f66(a834),f292(a834,x128221,x128222)))), % 153.91/153.60 inference(rename_variables,[],[3334])). % 153.91/153.60 cnf(12823,plain, % 153.91/153.60 (E(f327(f327(f231(a834),f327(a111,x128231)),f327(a111,x128232)),f327(a111,f327(f327(f231(a834),x128231),x128232)))), % 153.91/153.60 inference(rename_variables,[],[3293])). % 153.91/153.60 cnf(12826,plain, % 153.91/153.60 (P134(f327(f66(a834),f292(a834,x128261,x128262)))), % 153.91/153.60 inference(rename_variables,[],[3334])). % 153.91/153.60 cnf(12830,plain, % 153.91/153.60 (P134(f327(f66(a834),f292(a834,x128301,x128302)))), % 153.91/153.60 inference(rename_variables,[],[3334])). % 153.91/153.60 cnf(12834,plain, % 153.91/153.60 (P134(f327(f327(f227(f841(x128341,a831)),f327(f154(x128341),f327(f123(x128341,x128342),x128343))),f327(f154(x128341),x128343)))), % 153.91/153.60 inference(rename_variables,[],[3761])). % 153.91/153.60 cnf(12835,plain, % 153.91/153.60 (E(f327(f327(f18(x128351,x128352),x128353),x128354),x128353)), % 153.91/153.60 inference(rename_variables,[],[3116])). % 153.91/153.60 cnf(12838,plain, % 153.91/153.60 (P134(f327(f327(f227(f841(x128381,a831)),f327(f154(x128381),f327(f327(f155(x128381),x128382),x128383))),f327(f154(x128381),x128383)))), % 153.91/153.60 inference(rename_variables,[],[3803])). % 153.91/153.60 cnf(12839,plain, % 153.91/153.60 (E(f327(f327(f18(x128391,x128392),x128393),x128394),x128393)), % 153.91/153.60 inference(rename_variables,[],[3116])). % 153.91/153.60 cnf(12843,plain, % 153.91/153.60 (E(f327(f327(f18(x128431,x128432),x128433),x128434),x128433)), % 153.91/153.60 inference(rename_variables,[],[3116])). % 153.91/153.60 cnf(12850,plain, % 153.91/153.60 (P134(f327(f327(f227(f841(x128501,a831)),x128502),x128502))), % 153.91/153.60 inference(rename_variables,[],[3420])). % 153.91/153.60 cnf(12856,plain, % 153.91/153.60 (P134(f327(f327(f227(a1),f2(a1)),f327(f99(a1),x128561)))), % 153.91/153.60 inference(rename_variables,[],[3223])). % 153.91/153.60 cnf(12860,plain, % 153.91/153.60 (~P134(f327(f327(f329(x128601),x128602),f176(f841(x128601,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(12863,plain, % 153.91/153.60 (P134(f327(f327(f227(f841(x128631,a831)),f327(f154(x128631),f156(x128631,x128632,x128633))),f327(f154(x128631),x128632)))), % 153.91/153.60 inference(rename_variables,[],[3809])). % 153.91/153.60 cnf(12867,plain, % 153.91/153.60 (~P134(f327(f327(f329(x128671),x128672),f176(f841(x128671,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(12870,plain, % 153.91/153.60 (~P134(f327(f327(f329(x128701),x128702),f176(f841(x128701,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(12871,plain, % 153.91/153.60 (E(f37(x128711,x128712,x128713,x128714,x128715,x128716,x128717,x128718,x128719,a25),x128712)), % 153.91/153.60 inference(rename_variables,[],[4274])). % 153.91/153.60 cnf(12872,plain, % 153.91/153.60 (P28(x128721,x128721,f7(x128721),x128722)), % 153.91/153.60 inference(rename_variables,[],[3366])). % 153.91/153.60 cnf(12876,plain, % 153.91/153.60 (E(f37(x128761,x128762,x128763,x128764,x128765,x128766,x128767,x128768,x128769,a25),x128762)), % 153.91/153.60 inference(rename_variables,[],[4274])). % 153.91/153.60 cnf(12882,plain, % 153.91/153.60 (E(f37(x128821,x128822,x128823,x128824,x128825,x128826,x128827,x128828,x128829,a25),x128822)), % 153.91/153.60 inference(rename_variables,[],[4274])). % 153.91/153.60 cnf(12883,plain, % 153.91/153.60 (P134(f327(f327(f227(a1),x128831),x128831))), % 153.91/153.60 inference(rename_variables,[],[3124])). % 153.91/153.60 cnf(12886,plain, % 153.91/153.60 (E(f37(x128861,x128862,x128863,x128864,x128865,x128866,x128867,x128868,x128869,a25),x128862)), % 153.91/153.60 inference(rename_variables,[],[4274])). % 153.91/153.60 cnf(12887,plain, % 153.91/153.60 (P134(f327(f327(f227(a1),x128871),x128871))), % 153.91/153.60 inference(rename_variables,[],[3124])). % 153.91/153.60 cnf(12890,plain, % 153.91/153.60 (E(f37(x128901,x128902,x128903,x128904,x128905,x128906,x128907,x128908,x128909,a25),x128902)), % 153.91/153.60 inference(rename_variables,[],[4274])). % 153.91/153.60 cnf(12894,plain, % 153.91/153.60 (P134(f327(f327(f228(a834),x128941),f327(a111,x128941)))), % 153.91/153.60 inference(rename_variables,[],[3191])). % 153.91/153.60 cnf(12896,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),x128961),x128961))), % 153.91/153.60 inference(rename_variables,[],[3123])). % 153.91/153.60 cnf(12897,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),f2(a834)),x128971))), % 153.91/153.60 inference(rename_variables,[],[3145])). % 153.91/153.60 cnf(12900,plain, % 153.91/153.60 (P134(f327(f327(f228(a834),x129001),f327(a111,x129001)))), % 153.91/153.60 inference(rename_variables,[],[3191])). % 153.91/153.60 cnf(12903,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),f2(a834)),x129031))), % 153.91/153.60 inference(rename_variables,[],[3145])). % 153.91/153.60 cnf(12907,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),f2(a834)),x129071))), % 153.91/153.60 inference(rename_variables,[],[3145])). % 153.91/153.60 cnf(12908,plain, % 153.91/153.60 (P134(f327(f327(f228(a834),f2(a834)),f327(a111,x129081)))), % 153.91/153.60 inference(rename_variables,[],[3205])). % 153.91/153.60 cnf(12909,plain, % 153.91/153.60 (E(f37(x129091,x129092,x129093,x129094,x129095,x129096,x129097,x129098,x129099,a25),x129092)), % 153.91/153.60 inference(rename_variables,[],[4274])). % 153.91/153.60 cnf(12912,plain, % 153.91/153.60 (P134(f327(f56(f37(x129121,f327(f327(f84(a834),f327(f327(f85(a834),f327(f235(a834,a834),f327(f327(f236(a834,a834),f2(a834)),x129122))),f327(a111,f327(f327(f84(a834),x129123),f327(f245(a834,a834),f327(f327(f236(a834,a834),f2(a834)),x129122)))))),f327(f245(a834,a834),f327(f327(f236(a834,a834),f2(a834)),x129122))),x129124,x129125,x129126,x129127,x129128,x129129,x1291210,a25),f327(a111,f327(f327(f84(a834),x129123),f327(f245(a834,a834),f327(f327(f236(a834,a834),f2(a834)),x129122))))),f327(f327(f236(a834,a834),f2(a834)),x129122)))), % 153.91/153.60 inference(scs_inference,[],[2742,3342,11839,11856,12275,12277,3366,10811,11874,11977,12074,12112,12120,12129,12182,12294,12296,12700,12706,12711,12715,12721,12724,12748,12872,3374,11941,3375,12013,3423,3030,11369,11382,12271,3095,12329,12331,3096,12335,4064,12312,12315,3099,12319,2939,2961,12359,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,11516,12050,12221,12264,12266,12281,12283,12285,12310,12327,12349,12354,12570,12739,12764,12871,12876,12882,12886,12890,12909,4275,11096,3422,3003,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,11944,12104,12154,12262,12514,12766,12771,12779,3178,3143,12342,4312,10214,10311,10651,10804,12427,12803,2745,2752,2764,2767,2768,2769,2771,2772,2773,2776,2779,2780,2781,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2804,2807,2811,2817,2820,2823,2824,2825,2841,2846,2849,2854,2855,2869,2879,2880,2881,2884,2885,2889,2892,2896,2899,2901,2902,2910,2912,4295,2996,4298,3457,3107,3447,3695,3059,12132,12136,12140,3068,3578,3884,2963,2964,4320,4332,4373,10747,11041,11044,3670,11131,3022,2988,2983,3782,3496,2971,2950,2933,2978,3982,10924,3002,3136,11836,11971,3181,10585,11938,3057,3058,3078,10253,3227,4408,10182,3750,4334,10043,10211,10494,10999,12100,12133,12137,4343,12108,3116,11457,11460,12668,12755,12775,12835,12839,12843,4398,10816,3089,3516,3111,10507,3228,10828,3446,3220,3194,12305,3018,3019,10108,10411,4382,3283,3010,3067,3044,11120,3897,12123,12233,3751,10753,10872,10936,12084,12090,12189,12192,12211,4416,10689,10879,10993,11013,11049,11055,12029,4417,10793,10882,10996,11052,4418,10885,10943,4419,10946,4420,3041,3321,11980,12107,3481,4179,4180,3304,4331,11111,3426,3460,3631,3394,12553,12557,12561,12565,12579,3680,11974,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,11903,12215,12420,12454,12468,12513,12536,12596,12603,12778,12783,12894,12900,3570,11343,3109,3205,11475,12908,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,12032,12368,12387,12390,12412,12469,12650,12655,12678,4404,11226,11253,11293,11323,12478,12482,3557,3333,3334,12393,12396,12399,12402,12435,12438,12818,12822,12826,3336,3705,3293,12823,3294,12819,3151,3153,3126,4385,3017,4328,3507,3815,3313,4405,3891,11010,3445,3667,11485,11488,3165,11948,12054,12195,3858,3813,11640,11995,3761,11804,12008,12644,12834,3803,12838,3808,10756,11869,11947,12007,12053,12671,12810,3809,3482,11650,11799,11879,11928,12026,3847,3498,10759,10821,10906,10965,11820,11893,12149,12208,12218,12705,12710,4409,10533,10890,12718,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,11988,12057,12160,12244,12413,12441,12501,12525,12532,12539,12544,12547,12550,12587,12606,12617,12661,12687,12690,12800,12896,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,11745,12432,12593,12620,12651,12656,12679,12684,12796,12806,12883,12887,3125,10575,10638,11918,11921,12769,3199,11852,12498,12554,12558,12562,12566,12580,12584,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,11962,12060,12063,12153,12247,3279,10383,10641,10686,10954,11030,11189,11438,12103,12250,12638,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,11889,12038,12081,12087,12172,12175,12185,12232,12238,12241,12256,12497,12517,12520,12627,12743,12758,12761,12815,12860,12867,12870,3185,10408,10438,10985,12479,12483,12486,12489,3223,12792,12795,3218,3637,3575,10089,11346,11385,12459,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,12576,12693,3145,10590,10664,11386,11550,11989,12510,12799,12897,12903,12907,3599,11491,12409,3942,3339,4395,3645,4376,4377,4379,3102,3103,4378,4380,4118,3435,11339,4038,4411,10009,10012,10271,10724,11554,3871,12021,3722,11075,11415,11419,11482,12111,12119,12188,12426,12699,12747,3565,10702,10708,10719,11672,11892,12168,3420,10921,12035,12045,12116,12163,12171,12253,12850,3895,3567,10782,10933,10959,10970,12001,12115,12157,12735,3663,12383,3280,3392,10369,10372,10441,10617,4414,11340,4410,12377,4415,10497,11061,11983,11992,12041,4002,10578,12004,12018,12044,3902,3598,12259,3544,11474,4412,10062,10065,10396,10399,11223,11416,12214,4413,11320,11425,3568,10366,10614,12782,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996,5997,5998,6036,6037,6053,6110,6144,6146,6147,6171,6172,6174,6178,6179,6187,6203,6220,6240,6241,6246,6257,6258,6261,6274,6295,6299,6301,6315,6316,6320,6322,6323,6324,6326,6328,6329,6330,6338,6345,6346,6347,6348,6354,6356,6399,6405,6420,6423,6424,6425,6459,6461,6464,6469,6470,6481,6484,6498,6523,6524,6525,6526,6537,6541,6557,6561,6584,6606,6621,6622,6623,6628,6641,6663,6665,6667,6669,6672,6673,6679,6681,6694,6702,6741,6744,6745,6761,6762,6763,6764,6783,6784,6801,6828,6849,6859,6861,6862,6864,6866,6867,6905,6906,6907,6912,6913,6915,6917,6918,6919,6941,6949,6950,6964,6974,7018,7027,7033,7041,7052,7057,7059,7065,7086,7103,7121,7123,7133,7139,7200,7202,7203,7204,7213,7214,7220,7222,7245,7290,7308,7325,7341,7342,7358,7386,7390,7413,7440,7459,7462,7463,7473,7491,7492,7494,7496,7498,7500,7501,7502,7553,7554,7587,7589,7590,7591,7597,7616,7625,7635,7640,7646,7648,7654,7665,7666,7668,7695,7721,7751,7789,7790,7837,7844,7845,7867,7868,7887,7888,7945,7946,7947,7969,7970,8002,8005,8010,8019,8033,8061,8065,8071,8084,8103,8108,8130,8172,8200,8212,8229,8232,8260,8287,8344,8345,8348,8349,8363,8450,8451,8452,8453,8476,8500,8522,8564,8582,8636,8677,8680,8693,8730,8746,8762,8763,8778,8779,8903,8908,8926,8942,8962,8964,8967,8970,8972,8973,8985,8986,9009,9082,9119,9120,9185,9190,9224,9235,9239,9243,9244,9257,9280,9291,9300,9301,9303,9305,9332,9449,9530,9667,9668,9738,9884,9895,9900,3,2492,2494,2496,2497,2498,2502,2503,2512,2513,2515,2517,2519,2528,2530,2532,2533,2534,2536,2542,2543,2544,2545,2547,2553,2554,2555,2558,2559,2577,2585,2588,2589,2590,2591,2593,2594,2596,2600,2601,2606,2607,2608,2610,2611,2612,2621,2622,2623,2626,2627,2629,2652,2676,2677,2685,2691,2726,2734,2735,5122,5296,5302,5303,5381,5478,5508,5544,5560,5566,5568,5634,5635,5636,5637,5653,5690,5825,5872,5897,5933,5968,5972,6124,6131,6169,6170,6195,6197,6199,6205,6206,6207,6208,6209,6210,6211,6212,6213,6296,6368,6369,6457,6493,6494,6534,6535,6680,6693,6753,6774,6775,6778,6802,6826,6835,6837,6841,6889,6910,6911,6927,6928,6930,6963,7012,7013,7109,7179,7180,7181,7182,7198,7239,7251,7295,7296,7304,7313,7315,7327,7361,7362,7363,7364,7508,7509,7515,7516,7518,7520,7595,7727,7730,7732,7733,7748,7787,7864,7905,7954,7975,7976,8047,8143,8210,8211,8213,8245,8283,8309,8310,8391,8392,8393,8394,8526,8744,8745,8803,8816,8868,8869,8982,9013,9036,9066,9097,9278,9525,9706,9763,9766,5446,5722,5893,6279,6280,6371,6392,6393,6773,6825,7050,8196,8386,8463,8670,8827,8828,8891,8892,9135,9136,9137,9138,9334,9587,9764,9883,9891,9943,9944,6353,7291,7549,7550,8301,8302,8717,8731])). % 153.91/153.60 cnf(12980,plain, % 153.91/153.60 (P134(f327(f327(f228(a1),f2(a1)),f327(f79(a1),f82(a1))))), % 153.91/153.60 inference(scs_inference,[],[2742,3342,11839,11856,12275,12277,3366,10811,11874,11977,12074,12112,12120,12129,12182,12294,12296,12700,12706,12711,12715,12721,12724,12748,12872,3374,11941,3375,12013,3423,3030,11369,11382,12271,3095,12329,12331,3096,12335,4064,12312,12315,3099,12319,2939,2961,12359,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,11516,12050,12221,12264,12266,12281,12283,12285,12310,12327,12349,12354,12570,12739,12764,12871,12876,12882,12886,12890,12909,4275,11096,3422,3003,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,11944,12104,12154,12262,12514,12766,12771,12779,3178,3143,12342,4312,10214,10311,10651,10804,12427,12803,2745,2752,2764,2765,2767,2768,2769,2771,2772,2773,2776,2779,2780,2781,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2804,2807,2811,2817,2820,2823,2824,2825,2841,2846,2849,2852,2854,2855,2869,2879,2880,2881,2884,2885,2889,2892,2896,2899,2901,2902,2910,2912,4295,2996,4298,3457,3107,3447,3695,3059,12132,12136,12140,3068,3578,3884,2963,2964,4320,4332,4373,10747,11041,11044,3670,11131,3022,2988,2983,3782,3496,2971,2950,2933,2978,3982,10924,3002,3136,11836,11971,3181,10585,11938,3057,3058,3078,10253,3227,4408,10182,3750,4334,10043,10211,10494,10999,12100,12133,12137,4343,12108,3116,11457,11460,12668,12755,12775,12835,12839,12843,4398,10816,3089,3516,3111,10507,3228,10828,3446,3220,3194,12305,3018,3019,10108,10411,4382,3283,3010,3067,3044,11120,3897,12123,12233,3751,10753,10872,10936,12084,12090,12189,12192,12211,4416,10689,10879,10993,11013,11049,11055,12029,4417,10793,10882,10996,11052,4418,10885,10943,4419,10946,4420,3041,3321,11980,12107,3481,4179,4180,3304,4331,11111,3426,3460,3631,3394,12553,12557,12561,12565,12579,3680,11974,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,11903,12215,12420,12454,12468,12513,12536,12596,12603,12778,12783,12894,12900,3570,11343,3109,3205,11475,12908,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,12032,12368,12387,12390,12412,12469,12650,12655,12678,12683,4404,11226,11253,11293,11323,12478,12482,3557,3333,3334,12393,12396,12399,12402,12435,12438,12818,12822,12826,3336,3705,3293,12823,3294,12819,3151,3153,3126,4385,3017,4328,3507,3815,3313,4405,3891,11010,3445,3667,11485,11488,3165,11948,12054,12195,3858,3813,11640,11995,3761,11804,12008,12644,12834,3803,12838,3808,10756,11869,11947,12007,12053,12671,12810,3809,12863,3482,11650,11799,11879,11928,12026,3847,3498,10759,10821,10906,10965,11820,11893,12149,12208,12218,12705,12710,4409,10533,10890,12718,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,11988,12057,12160,12244,12413,12441,12501,12525,12532,12539,12544,12547,12550,12587,12606,12617,12661,12687,12690,12800,12896,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,11745,12432,12593,12620,12651,12656,12679,12684,12796,12806,12883,12887,3125,10575,10638,11918,11921,12769,3199,11852,12498,12554,12558,12562,12566,12580,12584,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,11962,12060,12063,12153,12247,3279,10383,10641,10686,10954,11030,11189,11438,12103,12250,12638,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,11889,12038,12081,12087,12172,12175,12185,12232,12238,12241,12256,12497,12517,12520,12627,12743,12758,12761,12815,12860,12867,12870,3185,10408,10438,10985,12479,12483,12486,12489,3223,12792,12795,12856,3218,3637,3575,10089,11346,11385,12459,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,12576,12693,3145,10590,10664,11386,11550,11989,12510,12799,12897,12903,12907,3599,11491,12409,3942,3339,4395,3645,4376,4377,4379,3102,3103,4378,4380,4118,3435,11339,4038,4411,10009,10012,10271,10724,11554,3871,12021,3722,11075,11415,11419,11482,12111,12119,12188,12426,12699,12747,3565,10702,10708,10719,11672,11892,12168,3420,10921,12035,12045,12116,12163,12171,12253,12850,3895,3567,10782,10933,10959,10970,12001,12115,12157,12735,3663,12383,3280,3392,10369,10372,10441,10617,4414,11340,4410,12377,4415,10497,11061,11983,11992,12041,4002,10578,12004,12018,12044,3902,3598,12259,3544,11474,4412,10062,10065,10396,10399,11223,11416,12214,4413,11320,11425,3568,10366,10614,12782,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996,5997,5998,6036,6037,6053,6110,6144,6146,6147,6171,6172,6174,6178,6179,6187,6203,6220,6240,6241,6246,6257,6258,6261,6274,6295,6299,6301,6315,6316,6320,6322,6323,6324,6326,6328,6329,6330,6338,6345,6346,6347,6348,6354,6356,6399,6405,6420,6423,6424,6425,6459,6461,6464,6469,6470,6481,6484,6498,6523,6524,6525,6526,6537,6541,6557,6561,6584,6606,6621,6622,6623,6628,6641,6663,6665,6667,6669,6672,6673,6679,6681,6694,6702,6741,6744,6745,6761,6762,6763,6764,6783,6784,6801,6828,6849,6859,6861,6862,6864,6866,6867,6905,6906,6907,6912,6913,6915,6917,6918,6919,6941,6949,6950,6964,6974,7018,7027,7033,7041,7052,7057,7059,7065,7086,7103,7121,7123,7133,7139,7200,7202,7203,7204,7213,7214,7220,7222,7245,7290,7308,7325,7341,7342,7358,7386,7390,7413,7440,7459,7462,7463,7473,7491,7492,7494,7496,7498,7500,7501,7502,7553,7554,7587,7589,7590,7591,7597,7616,7625,7635,7640,7646,7648,7654,7665,7666,7668,7695,7721,7751,7789,7790,7837,7844,7845,7867,7868,7887,7888,7945,7946,7947,7969,7970,8002,8005,8010,8019,8033,8061,8065,8071,8084,8103,8108,8130,8172,8200,8212,8229,8232,8260,8287,8344,8345,8348,8349,8363,8450,8451,8452,8453,8476,8500,8522,8564,8582,8636,8677,8680,8693,8730,8746,8762,8763,8778,8779,8903,8908,8926,8942,8962,8964,8967,8970,8972,8973,8985,8986,9009,9082,9119,9120,9185,9190,9224,9235,9239,9243,9244,9257,9280,9291,9300,9301,9303,9305,9332,9449,9530,9667,9668,9738,9884,9895,9900,3,2492,2494,2496,2497,2498,2502,2503,2512,2513,2515,2517,2519,2528,2530,2532,2533,2534,2536,2542,2543,2544,2545,2547,2553,2554,2555,2558,2559,2577,2585,2588,2589,2590,2591,2593,2594,2596,2600,2601,2606,2607,2608,2610,2611,2612,2621,2622,2623,2626,2627,2629,2652,2676,2677,2685,2691,2726,2734,2735,5122,5296,5302,5303,5381,5478,5508,5544,5560,5566,5568,5634,5635,5636,5637,5653,5690,5825,5872,5897,5933,5968,5972,6124,6131,6169,6170,6195,6197,6199,6205,6206,6207,6208,6209,6210,6211,6212,6213,6296,6368,6369,6457,6493,6494,6534,6535,6680,6693,6753,6774,6775,6778,6802,6826,6835,6837,6841,6889,6910,6911,6927,6928,6930,6963,7012,7013,7109,7179,7180,7181,7182,7198,7239,7251,7295,7296,7304,7313,7315,7327,7361,7362,7363,7364,7508,7509,7515,7516,7518,7520,7595,7727,7730,7732,7733,7748,7787,7864,7905,7954,7975,7976,8047,8143,8210,8211,8213,8245,8283,8309,8310,8391,8392,8393,8394,8526,8744,8745,8803,8816,8868,8869,8982,9013,9036,9066,9097,9278,9525,9706,9763,9766,5446,5722,5893,6279,6280,6371,6392,6393,6773,6825,7050,8196,8386,8463,8670,8827,8828,8891,8892,9135,9136,9137,9138,9334,9587,9764,9883,9891,9943,9944,6353,7291,7549,7550,8301,8302,8717,8731,9588,9942,4461,4499,4500,4502,4555,4563,4694,4708,4709,4740,4741,4768,4828,4832,4890,5027,5062,5063,5065,5070,5072,5073,5096,5164,5185,5317,5386,5504])). % 153.91/153.60 cnf(13016,plain, % 153.91/153.60 (~P134(f327(f66(x130161),f45(f841(x130161,a831),f234(f841(f841(x130161,a831),a831)))))), % 153.91/153.60 inference(scs_inference,[],[2742,3342,11839,11856,12275,12277,3366,10811,11874,11977,12074,12112,12120,12129,12182,12294,12296,12700,12706,12711,12715,12721,12724,12748,12872,3374,11941,3375,12013,3423,3030,11369,11382,12271,3095,12329,12331,3096,12335,4064,12312,12315,3099,12319,2939,2961,12359,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,11516,12050,12221,12264,12266,12281,12283,12285,12310,12327,12349,12354,12570,12739,12764,12871,12876,12882,12886,12890,12909,4275,11096,3422,3003,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,11944,12104,12154,12262,12514,12766,12771,12779,3178,3143,12342,4312,10214,10311,10651,10804,12427,12803,2745,2752,2764,2765,2767,2768,2769,2771,2772,2773,2776,2779,2780,2781,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2804,2807,2811,2817,2820,2823,2824,2825,2841,2846,2849,2852,2854,2855,2869,2879,2880,2881,2884,2885,2889,2892,2896,2899,2901,2902,2910,2912,4295,2996,4298,3457,3107,3447,3695,3059,12132,12136,12140,3068,3578,3884,2963,2964,4320,4332,4373,10747,11041,11044,3670,11131,3022,2988,2983,3782,3496,2971,2950,2933,2978,3982,10924,3002,3136,11836,11971,3181,10585,11938,3057,3058,3078,10253,3227,4408,10182,3750,4334,10043,10211,10494,10999,12100,12133,12137,4343,12108,3116,11457,11460,12668,12755,12775,12835,12839,12843,4398,10816,3089,3516,3111,10507,3228,10828,3446,3220,3194,12305,3018,3019,10108,10411,4382,3283,3010,3067,3044,11120,3897,12123,12233,3751,10753,10872,10936,12084,12090,12189,12192,12211,4416,10689,10879,10993,11013,11049,11055,12029,4417,10793,10882,10996,11052,4418,10885,10943,4419,10946,4420,3041,3321,11980,12107,3481,4179,4180,3304,4331,11111,3426,3460,3631,3394,12553,12557,12561,12565,12579,3680,11974,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,11903,12215,12420,12454,12468,12513,12536,12596,12603,12778,12783,12894,12900,3570,11343,3109,3205,11475,12908,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,12032,12368,12387,12390,12412,12469,12650,12655,12678,12683,4404,11226,11253,11293,11323,12478,12482,3557,3333,3334,12393,12396,12399,12402,12435,12438,12818,12822,12826,3336,3705,3293,12823,3294,12819,3151,3153,3126,4385,3017,4328,3507,3815,3313,4405,3891,11010,3445,3667,11485,11488,3165,11948,12054,12195,3858,3813,11640,11995,3761,11804,12008,12644,12834,3803,12838,3808,10756,11869,11947,12007,12053,12671,12810,3809,12863,3482,11650,11799,11879,11928,12026,3847,3498,10759,10821,10906,10965,11820,11893,12149,12208,12218,12705,12710,4409,10533,10890,12718,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,11988,12057,12160,12244,12413,12441,12501,12525,12532,12539,12544,12547,12550,12587,12606,12617,12661,12687,12690,12800,12896,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,11745,12432,12593,12620,12651,12656,12679,12684,12796,12806,12883,12887,3125,10575,10638,11918,11921,12769,3199,11852,12498,12554,12558,12562,12566,12580,12584,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,11962,12060,12063,12153,12247,3279,10383,10641,10686,10954,11030,11189,11438,12103,12250,12638,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,11889,12038,12081,12087,12172,12175,12185,12232,12238,12241,12256,12497,12517,12520,12627,12743,12758,12761,12815,12860,12867,12870,3185,10408,10438,10985,12479,12483,12486,12489,3223,12792,12795,12856,3218,3637,3575,10089,11346,11385,12459,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,12576,12693,3145,10590,10664,11386,11550,11989,12510,12799,12897,12903,12907,3599,11491,12409,3942,3339,4395,3645,4376,4377,4379,3102,3103,4378,4380,4118,3435,11339,4038,4411,10009,10012,10271,10724,11554,3871,12021,3722,11075,11415,11419,11482,12111,12119,12188,12426,12699,12747,3565,10702,10708,10719,11672,11892,12168,3420,10921,12035,12045,12116,12163,12171,12253,12850,3895,3567,10782,10933,10959,10970,12001,12115,12157,12735,3663,12383,3280,3392,10369,10372,10441,10617,4414,11340,4410,12377,4415,10497,11061,11983,11992,12041,4002,10578,12004,12018,12044,3902,3598,12259,3544,11474,4412,10062,10065,10396,10399,11223,11416,12214,4413,11320,11425,3568,10366,10614,12782,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996,5997,5998,6036,6037,6053,6110,6144,6146,6147,6171,6172,6174,6178,6179,6187,6203,6220,6240,6241,6246,6257,6258,6261,6274,6295,6299,6301,6315,6316,6320,6322,6323,6324,6326,6328,6329,6330,6338,6345,6346,6347,6348,6354,6356,6399,6405,6420,6423,6424,6425,6459,6461,6464,6469,6470,6481,6484,6498,6523,6524,6525,6526,6537,6541,6557,6561,6584,6606,6621,6622,6623,6628,6641,6663,6665,6667,6669,6672,6673,6679,6681,6694,6702,6741,6744,6745,6761,6762,6763,6764,6783,6784,6801,6828,6849,6859,6861,6862,6864,6866,6867,6905,6906,6907,6912,6913,6915,6917,6918,6919,6941,6949,6950,6964,6974,7018,7027,7033,7041,7052,7057,7059,7065,7086,7103,7121,7123,7133,7139,7200,7202,7203,7204,7213,7214,7220,7222,7245,7290,7308,7325,7341,7342,7358,7386,7390,7413,7440,7459,7462,7463,7473,7491,7492,7494,7496,7498,7500,7501,7502,7553,7554,7587,7589,7590,7591,7597,7616,7625,7635,7640,7646,7648,7654,7665,7666,7668,7695,7721,7751,7789,7790,7837,7844,7845,7867,7868,7887,7888,7945,7946,7947,7969,7970,8002,8005,8010,8019,8033,8061,8065,8071,8084,8103,8108,8130,8172,8200,8212,8229,8232,8260,8287,8344,8345,8348,8349,8363,8450,8451,8452,8453,8476,8500,8522,8564,8582,8636,8677,8680,8693,8730,8746,8762,8763,8778,8779,8903,8908,8926,8942,8962,8964,8967,8970,8972,8973,8985,8986,9009,9082,9119,9120,9185,9190,9224,9235,9239,9243,9244,9257,9280,9291,9300,9301,9303,9305,9332,9449,9530,9667,9668,9738,9884,9895,9900,3,2492,2494,2496,2497,2498,2502,2503,2512,2513,2515,2517,2519,2528,2530,2532,2533,2534,2536,2542,2543,2544,2545,2547,2553,2554,2555,2558,2559,2577,2585,2588,2589,2590,2591,2593,2594,2596,2600,2601,2606,2607,2608,2610,2611,2612,2621,2622,2623,2626,2627,2629,2652,2676,2677,2685,2691,2726,2734,2735,5122,5296,5302,5303,5381,5478,5508,5544,5560,5566,5568,5634,5635,5636,5637,5653,5690,5825,5872,5897,5933,5968,5972,6124,6131,6169,6170,6195,6197,6199,6205,6206,6207,6208,6209,6210,6211,6212,6213,6296,6368,6369,6457,6493,6494,6534,6535,6680,6693,6753,6774,6775,6778,6802,6826,6835,6837,6841,6889,6910,6911,6927,6928,6930,6963,7012,7013,7109,7179,7180,7181,7182,7198,7239,7251,7295,7296,7304,7313,7315,7327,7361,7362,7363,7364,7508,7509,7515,7516,7518,7520,7595,7727,7730,7732,7733,7748,7787,7864,7905,7954,7975,7976,8047,8143,8210,8211,8213,8245,8283,8309,8310,8391,8392,8393,8394,8526,8744,8745,8803,8816,8868,8869,8982,9013,9036,9066,9097,9278,9525,9706,9763,9766,5446,5722,5893,6279,6280,6371,6392,6393,6773,6825,7050,8196,8386,8463,8670,8827,8828,8891,8892,9135,9136,9137,9138,9334,9587,9764,9883,9891,9943,9944,6353,7291,7549,7550,8301,8302,8717,8731,9588,9942,4461,4499,4500,4502,4555,4563,4694,4708,4709,4740,4741,4768,4828,4832,4890,5027,5062,5063,5065,5070,5072,5073,5096,5164,5185,5317,5386,5504,5505,5533,5534,5538,5574,5597,5599,5607,5613,5703,5784,5846,5895,5915,5937,5988,6034,6113])). % 153.91/153.60 cnf(13032,plain, % 153.91/153.60 (~P134(f327(f327(f228(a834),f2(a834)),f37(x130321,f2(a834),x130322,x130323,x130324,x130325,x130326,x130327,x130328,a25)))), % 153.91/153.60 inference(scs_inference,[],[2742,3342,11839,11856,12275,12277,3366,10811,11874,11977,12074,12112,12120,12129,12182,12294,12296,12700,12706,12711,12715,12721,12724,12748,12872,3374,11941,3375,12013,3423,3030,11369,11382,12271,3095,12329,12331,3096,12335,4064,12312,12315,3099,12319,2939,2961,12359,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,11516,12050,12221,12264,12266,12281,12283,12285,12310,12327,12349,12354,12570,12739,12764,12871,12876,12882,12886,12890,12909,4275,11096,3422,3003,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,11944,12104,12154,12262,12514,12766,12771,12779,3178,3143,12342,4312,10214,10311,10651,10804,12427,12803,2745,2752,2764,2765,2767,2768,2769,2771,2772,2773,2776,2779,2780,2781,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2804,2807,2811,2817,2820,2823,2824,2825,2841,2846,2849,2852,2854,2855,2869,2879,2880,2881,2884,2885,2889,2892,2896,2899,2901,2902,2910,2912,4295,2996,4298,3457,3107,3447,3695,3059,12132,12136,12140,3068,3578,3884,2963,2964,4320,4332,4373,10747,11041,11044,3670,11131,3022,2988,2983,3782,3496,2971,2950,2933,2978,3982,10924,3002,3136,11836,11971,3181,10585,11938,3057,3058,3078,10253,3227,4408,10182,3750,4334,10043,10211,10494,10999,12100,12133,12137,4343,12108,3116,11457,11460,12668,12755,12775,12835,12839,12843,4398,10816,3089,3516,3111,10507,3228,10828,3446,3220,3194,12305,3018,3019,10108,10411,4382,3283,3010,3067,3044,11120,3897,12123,12233,3751,10753,10872,10936,12084,12090,12189,12192,12211,4416,10689,10879,10993,11013,11049,11055,12029,4417,10793,10882,10996,11052,4418,10885,10943,4419,10946,4420,3041,3321,11980,12107,3481,4179,4180,3304,4331,11111,3426,3460,3631,3394,12553,12557,12561,12565,12579,3680,11974,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,11903,12215,12420,12454,12468,12513,12536,12596,12603,12778,12783,12894,12900,3570,11343,3109,3205,11475,12908,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,12032,12368,12387,12390,12412,12469,12650,12655,12678,12683,4404,11226,11253,11293,11323,12478,12482,3557,3333,3334,12393,12396,12399,12402,12435,12438,12818,12822,12826,3336,3705,3293,12823,3294,12819,3151,3153,3126,4385,3017,4328,3507,3815,3313,4405,3891,11010,3445,3667,11485,11488,3165,11948,12054,12195,3858,3813,11640,11995,3761,11804,12008,12644,12834,3803,12838,3808,10756,11869,11947,12007,12053,12671,12810,3809,12863,3482,11650,11799,11879,11928,12026,3847,3498,10759,10821,10906,10965,11820,11893,12149,12208,12218,12705,12710,4409,10533,10890,12718,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,11988,12057,12160,12244,12413,12441,12501,12525,12532,12539,12544,12547,12550,12587,12606,12617,12661,12687,12690,12800,12896,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,11745,12432,12593,12620,12651,12656,12679,12684,12796,12806,12883,12887,3125,10575,10638,11918,11921,12769,3199,11852,12498,12554,12558,12562,12566,12580,12584,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,11962,12060,12063,12153,12247,3279,10383,10641,10686,10954,11030,11189,11438,12103,12250,12638,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,11889,12038,12081,12087,12172,12175,12185,12232,12238,12241,12256,12497,12517,12520,12627,12743,12758,12761,12815,12860,12867,12870,3185,10408,10438,10985,12479,12483,12486,12489,3223,12792,12795,12856,3218,3637,3575,10089,11346,11385,12459,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,12576,12693,3145,10590,10664,11386,11550,11989,12510,12799,12897,12903,12907,3599,11491,12409,3942,3339,4395,3645,4376,4377,4379,3102,3103,4378,4380,4118,3435,11339,4038,4411,10009,10012,10271,10724,11554,3871,12021,3722,11075,11415,11419,11482,12111,12119,12188,12426,12699,12747,3565,10702,10708,10719,11672,11892,12168,3420,10921,12035,12045,12116,12163,12171,12253,12850,3895,3567,10782,10933,10959,10970,12001,12115,12157,12735,3663,12383,3280,3392,10369,10372,10441,10617,4414,11340,4410,12377,4415,10497,11061,11983,11992,12041,4002,10578,12004,12018,12044,3902,3598,12259,3544,11474,4412,10062,10065,10396,10399,11223,11416,12214,4413,11320,11425,3568,10366,10614,12782,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996,5997,5998,6036,6037,6053,6110,6144,6146,6147,6171,6172,6174,6178,6179,6187,6203,6220,6240,6241,6246,6257,6258,6261,6274,6295,6299,6301,6315,6316,6320,6322,6323,6324,6326,6328,6329,6330,6338,6345,6346,6347,6348,6354,6356,6399,6405,6420,6423,6424,6425,6459,6461,6464,6469,6470,6481,6484,6498,6523,6524,6525,6526,6537,6541,6557,6561,6584,6606,6621,6622,6623,6628,6641,6663,6665,6667,6669,6672,6673,6679,6681,6694,6702,6741,6744,6745,6761,6762,6763,6764,6783,6784,6801,6828,6849,6859,6861,6862,6864,6866,6867,6905,6906,6907,6912,6913,6915,6917,6918,6919,6941,6949,6950,6964,6974,7018,7027,7033,7041,7052,7057,7059,7065,7086,7103,7121,7123,7133,7139,7200,7202,7203,7204,7213,7214,7220,7222,7245,7290,7308,7325,7341,7342,7358,7386,7390,7413,7440,7459,7462,7463,7473,7491,7492,7494,7496,7498,7500,7501,7502,7553,7554,7587,7589,7590,7591,7597,7616,7625,7635,7640,7646,7648,7654,7665,7666,7668,7695,7721,7751,7789,7790,7837,7844,7845,7867,7868,7887,7888,7945,7946,7947,7969,7970,8002,8005,8010,8019,8033,8061,8065,8071,8084,8103,8108,8130,8172,8200,8212,8229,8232,8260,8287,8344,8345,8348,8349,8363,8450,8451,8452,8453,8476,8500,8522,8564,8582,8636,8677,8680,8693,8730,8746,8762,8763,8778,8779,8903,8908,8926,8942,8962,8964,8967,8970,8972,8973,8985,8986,9009,9082,9119,9120,9185,9190,9224,9235,9239,9243,9244,9257,9280,9291,9300,9301,9303,9305,9332,9449,9530,9667,9668,9738,9884,9895,9900,3,2492,2494,2496,2497,2498,2502,2503,2512,2513,2515,2517,2519,2528,2530,2532,2533,2534,2536,2542,2543,2544,2545,2547,2553,2554,2555,2558,2559,2577,2585,2588,2589,2590,2591,2593,2594,2596,2600,2601,2606,2607,2608,2610,2611,2612,2621,2622,2623,2626,2627,2629,2652,2676,2677,2685,2691,2726,2734,2735,5122,5296,5302,5303,5381,5478,5508,5544,5560,5566,5568,5634,5635,5636,5637,5653,5690,5825,5872,5897,5933,5968,5972,6124,6131,6169,6170,6195,6197,6199,6205,6206,6207,6208,6209,6210,6211,6212,6213,6296,6368,6369,6457,6493,6494,6534,6535,6680,6693,6753,6774,6775,6778,6802,6826,6835,6837,6841,6889,6910,6911,6927,6928,6930,6963,7012,7013,7109,7179,7180,7181,7182,7198,7239,7251,7295,7296,7304,7313,7315,7327,7361,7362,7363,7364,7508,7509,7515,7516,7518,7520,7595,7727,7730,7732,7733,7748,7787,7864,7905,7954,7975,7976,8047,8143,8210,8211,8213,8245,8283,8309,8310,8391,8392,8393,8394,8526,8744,8745,8803,8816,8868,8869,8982,9013,9036,9066,9097,9278,9525,9706,9763,9766,5446,5722,5893,6279,6280,6371,6392,6393,6773,6825,7050,8196,8386,8463,8670,8827,8828,8891,8892,9135,9136,9137,9138,9334,9587,9764,9883,9891,9943,9944,6353,7291,7549,7550,8301,8302,8717,8731,9588,9942,4461,4499,4500,4502,4555,4563,4694,4708,4709,4740,4741,4768,4828,4832,4890,5027,5062,5063,5065,5070,5072,5073,5096,5164,5185,5317,5386,5504,5505,5533,5534,5538,5574,5597,5599,5607,5613,5703,5784,5846,5895,5915,5937,5988,6034,6113,6239,6403,6440,6614,6615,6770,6838,6882])). % 153.91/153.60 cnf(13087,plain, % 153.91/153.60 (P134(f327(f327(f274(a1),f2(a1)),f53(a1,f2(a1),f2(a1))))), % 153.91/153.60 inference(scs_inference,[],[2742,3342,11839,11856,12275,12277,3366,10811,11874,11977,12074,12112,12120,12129,12182,12294,12296,12700,12706,12711,12715,12721,12724,12748,12872,3374,11941,3375,12013,3423,3030,11369,11382,12271,3095,12329,12331,3096,12335,4064,12312,12315,3099,12319,2939,2961,12359,4313,4274,9974,9977,9986,10052,10055,10146,10149,10435,10448,11082,11095,11099,11128,11143,11146,11149,11152,11164,11197,11210,11245,11250,11256,11352,11355,11358,11362,11366,11379,11406,11479,11516,12050,12221,12264,12266,12281,12283,12285,12310,12327,12349,12354,12570,12739,12764,12871,12876,12882,12886,12890,12909,4275,11096,3422,3003,4300,9980,9983,9993,10004,10015,10116,10119,10122,10164,10230,10338,10633,10766,11002,11085,11092,11106,11157,11160,11259,11310,11326,11651,11676,11690,11725,11821,11937,11944,12104,12154,12262,12514,12766,12771,12779,12787,3178,3143,12342,4312,10214,10311,10651,10804,12427,12803,2745,2752,2764,2765,2767,2768,2769,2771,2772,2773,2776,2779,2780,2781,2783,2786,2789,2791,2793,2794,2796,2798,2800,2801,2804,2807,2811,2817,2820,2823,2824,2825,2841,2846,2849,2852,2854,2855,2869,2872,2879,2880,2881,2884,2885,2889,2892,2896,2899,2901,2902,2910,2912,4295,2996,4298,3457,3107,3447,3695,3059,12132,12136,12140,3068,3578,3884,2963,2964,4320,4332,4373,10747,11041,11044,3670,11131,3020,3022,2988,2983,3782,3496,2971,2950,2933,2978,3982,10924,3002,3136,11836,11971,3181,10585,11938,3057,3058,3078,10253,3227,4408,10182,3750,4334,10043,10211,10494,10999,12100,12133,12137,4343,12108,3116,11457,11460,12668,12755,12775,12835,12839,12843,4398,10816,3089,3516,3111,10507,3228,10828,3446,3220,3194,12305,3018,3019,10108,10411,4382,3283,3010,3067,3044,11120,3897,12123,12233,3751,10753,10872,10936,12084,12090,12189,12192,12211,4416,10689,10879,10993,11013,11049,11055,12029,4417,10793,10882,10996,11052,4418,10885,10943,4419,10946,4420,3041,3321,11980,12107,3481,4179,4180,3304,4331,11111,3426,3460,3631,3394,12553,12557,12561,12565,12579,3680,11974,3307,3560,3191,10127,10130,10248,10325,10377,10380,10414,10504,10737,11519,11567,11647,11715,11792,11827,11900,11903,12215,12420,12454,12468,12513,12536,12596,12603,12778,12783,12894,12900,3570,11343,3109,3205,11475,12908,3389,4388,10018,10021,10049,10515,10530,10646,11064,11123,11533,11541,11768,11771,11861,12032,12368,12387,12390,12412,12469,12650,12655,12678,12683,4404,11226,11253,11293,11323,12478,12482,3557,3333,3334,12393,12396,12399,12402,12435,12438,12818,12822,12826,12830,3336,3705,3293,12823,3294,12819,3151,3153,3126,4385,3017,4328,3507,3815,3313,4405,3891,11010,3445,3667,11485,11488,3165,11948,12054,12195,3858,3813,11640,11995,3761,11804,12008,12644,12834,3803,12838,3808,10756,11869,11947,12007,12053,12671,12810,3809,12863,3482,11650,11799,11879,11928,12026,3847,3498,10759,10821,10906,10965,11820,11893,12149,12208,12218,12705,12710,4409,10533,10890,12718,3123,10139,10237,10363,10421,10483,10536,10539,10572,10593,10627,10671,10705,11209,11431,11463,11478,11620,11675,11693,11696,11699,11702,11750,11886,11906,11909,11912,11915,11988,12057,12160,12244,12413,12441,12501,12525,12532,12539,12544,12547,12550,12587,12606,12617,12661,12687,12690,12800,12896,3124,10227,10426,10510,10630,11202,11306,11515,11522,11536,11626,11637,11658,11663,11705,11708,11730,11745,12432,12593,12620,12651,12656,12679,12684,12796,12806,12883,12887,3125,10575,10638,11918,11921,12769,3199,11852,12498,12554,12558,12562,12566,12580,12584,4384,10086,10177,10290,10320,10554,10596,10603,10913,11270,11378,11403,11409,11412,11428,11582,11585,11588,11591,11689,11711,11714,11724,11780,11783,11786,11789,11862,11959,11962,12060,12063,12153,12247,3279,10383,10641,10686,10954,11030,11189,11438,12103,12250,12638,4400,10563,10678,10696,10699,10750,10835,10845,10857,10893,10918,10930,10962,11005,11021,11024,11027,11058,11069,11072,11454,11494,11774,11777,11811,11853,11889,12038,12081,12087,12172,12175,12185,12232,12238,12241,12256,12497,12517,12520,12627,12743,12758,12761,12815,12860,12867,12870,3185,10408,10438,10985,12479,12483,12486,12489,3223,12792,12795,12856,3218,3637,3575,10089,11346,11385,12459,4397,10040,10402,10405,10838,10854,11309,11365,11420,11439,11551,11594,11597,11600,11603,12576,12693,3145,10590,10664,11386,11550,11989,12510,12799,12897,12903,12907,3599,11491,12409,3942,3339,4395,3645,4376,4377,4379,3102,3103,4378,4380,4118,3435,11339,4038,4411,10009,10012,10271,10724,11554,3871,12021,3722,11075,11415,11419,11482,12111,12119,12188,12426,12699,12747,3565,10702,10708,10719,11672,11892,12168,3420,10921,12035,12045,12116,12163,12171,12253,12850,3895,3567,10782,10933,10959,10970,12001,12115,12157,12735,3663,12383,3280,3392,10369,10372,10441,10617,4414,11340,4410,12377,4415,10497,11061,11983,11992,12041,4002,10578,12004,12018,12044,3902,3598,12259,3544,11474,4412,10062,10065,10396,10399,11223,11416,12214,4413,11320,11425,3568,10366,10614,12782,3569,3830,4426,4432,4439,4456,4505,4507,4535,4554,4561,4562,4598,4628,4634,4716,4742,4743,4782,4805,4806,4830,4831,4833,4846,4850,4871,4876,4893,4897,4898,4903,4908,4909,4931,4955,4956,4966,4971,4977,5019,5020,5028,5037,5039,5041,5052,5054,5061,5066,5079,5085,5088,5089,5093,5126,5136,5143,5145,5146,5149,5150,5151,5159,5160,5163,5167,5168,5169,5176,5180,5181,5182,5190,5193,5195,5201,5212,5219,5231,5233,5235,5243,5244,5248,5251,5276,5282,5292,5293,5294,5309,5320,5344,5350,5368,5369,5372,5391,5399,5400,5402,5403,5413,5414,5429,5433,5442,5443,5445,5460,5463,5474,5475,5489,5496,5509,5515,5524,5525,5526,5530,5535,5573,5575,5578,5580,5583,5584,5585,5587,5589,5591,5594,5601,5616,5633,5639,5640,5659,5660,5667,5668,5670,5673,5676,5677,5682,5726,5740,5748,5752,5765,5776,5796,5816,5819,5828,5855,5870,5898,5918,5919,5922,5936,5938,5939,5941,5954,5955,5958,5960,5963,5964,5978,5984,5985,5986,5989,5991,6033,6043,6052,6090,6092,6094,6096,6106,6108,6111,6117,6119,6123,6126,6134,6141,6142,6143,6149,6175,6184,6191,6193,6227,6228,6232,6233,6234,6235,6236,6237,6238,6245,6281,6282,6291,6310,6311,6336,6340,6351,6352,6358,6389,6390,6391,6406,6444,6447,6448,6462,6502,6527,6567,6583,6592,6602,6603,6604,6605,6626,6627,6633,6645,6648,6651,6653,6654,6655,6657,6671,6683,6685,6686,6697,6700,6756,6769,6771,6790,6793,6794,6830,6876,6909,6961,6992,7051,7079,7082,7141,7153,7221,7223,7238,7246,7249,7250,7268,7274,7276,7328,7338,7344,7347,7359,7402,7405,7409,7445,7457,7458,7476,7545,7564,7588,7610,7624,7639,7649,7657,7685,7687,7689,7697,7740,7750,7776,7834,7866,7900,7937,7952,8040,8089,8107,8131,8150,8174,8270,8272,8278,8294,8298,8313,8333,8341,8343,8352,8358,8362,8383,8398,8399,8410,8411,8412,8418,8419,8424,8425,8426,8427,8428,8446,8447,8448,8456,8468,8470,8484,8486,8492,8497,8518,8519,8548,8561,8565,8583,8604,8605,8607,8608,8619,8620,8642,8651,8658,8659,8660,8661,8684,8685,8696,8732,8738,8742,8753,8756,8758,8759,8766,8775,8836,8865,8866,8867,8881,8895,8901,8928,8929,8930,8931,8932,8935,8974,8998,9032,9042,9043,9053,9063,9064,9078,9088,9090,9110,9133,9193,9231,9232,9233,9258,9259,9275,9292,9299,9310,9333,9351,9361,9362,9363,9364,9365,9379,9381,9386,9421,9422,9428,9429,9466,9467,9493,9517,9519,9520,9535,9541,9565,9593,9641,9677,9690,9692,9696,9697,9699,9708,9709,9729,9734,9755,9760,9830,9903,9904,9952,2,8,9,4444,4462,4494,4495,4497,4527,4528,4539,4587,4589,4633,4662,4757,4758,4776,4795,4853,4854,4857,4858,4861,4862,4873,4883,4895,4896,4906,4915,4926,4927,4945,4950,4951,4952,4953,4954,4962,4965,4972,5033,5045,5046,5076,5086,5091,5107,5125,5132,5133,5135,5140,5155,5157,5158,5165,5172,5173,5186,5187,5188,5189,5197,5198,5199,5200,5228,5229,5230,5239,5240,5241,5242,5271,5287,5289,5291,5327,5329,5330,5332,5333,5335,5336,5338,5349,5354,5356,5358,5359,5360,5361,5362,5363,5370,5380,5383,5394,5407,5408,5411,5422,5425,5426,5427,5452,5462,5479,5480,5490,5491,5493,5495,5499,5519,5537,5541,5543,5602,5619,5641,5642,5655,5658,5661,5662,5663,5664,5674,5678,5688,5689,5691,5692,5700,5721,5757,5770,5771,5772,5777,5794,5806,5807,5810,5814,5815,5830,5840,5841,5854,5873,5874,5878,5900,5904,5907,5926,5930,5931,5956,5959,5967,5974,5976,5983,5987,5995,5996,5997,5998,6036,6037,6053,6110,6144,6146,6147,6171,6172,6174,6178,6179,6187,6203,6220,6240,6241,6246,6257,6258,6261,6274,6295,6299,6301,6315,6316,6320,6322,6323,6324,6326,6328,6329,6330,6338,6345,6346,6347,6348,6354,6356,6399,6405,6420,6423,6424,6425,6459,6461,6464,6469,6470,6481,6484,6498,6523,6524,6525,6526,6537,6541,6557,6561,6584,6606,6621,6622,6623,6628,6641,6663,6665,6667,6669,6672,6673,6679,6681,6694,6702,6741,6744,6745,6761,6762,6763,6764,6783,6784,6801,6828,6849,6859,6861,6862,6864,6866,6867,6905,6906,6907,6912,6913,6915,6917,6918,6919,6941,6949,6950,6964,6974,7018,7027,7033,7041,7052,7057,7059,7065,7086,7103,7121,7123,7133,7139,7200,7202,7203,7204,7213,7214,7220,7222,7245,7290,7308,7325,7341,7342,7358,7386,7390,7413,7440,7459,7462,7463,7473,7491,7492,7494,7496,7498,7500,7501,7502,7553,7554,7587,7589,7590,7591,7597,7616,7625,7635,7640,7646,7648,7654,7665,7666,7668,7695,7721,7751,7789,7790,7837,7844,7845,7867,7868,7887,7888,7945,7946,7947,7969,7970,8002,8005,8010,8019,8033,8061,8065,8071,8084,8103,8108,8130,8172,8200,8212,8229,8232,8260,8287,8344,8345,8348,8349,8363,8450,8451,8452,8453,8476,8500,8522,8564,8582,8636,8677,8680,8693,8730,8746,8762,8763,8778,8779,8903,8908,8926,8942,8962,8964,8967,8970,8972,8973,8985,8986,9009,9082,9119,9120,9185,9190,9224,9235,9239,9243,9244,9257,9280,9291,9300,9301,9303,9305,9332,9449,9530,9667,9668,9738,9884,9895,9900,3,2492,2494,2496,2497,2498,2502,2503,2512,2513,2515,2517,2519,2528,2530,2532,2533,2534,2536,2542,2543,2544,2545,2547,2553,2554,2555,2558,2559,2577,2585,2588,2589,2590,2591,2593,2594,2596,2600,2601,2606,2607,2608,2610,2611,2612,2621,2622,2623,2626,2627,2629,2652,2676,2677,2685,2691,2726,2734,2735,5122,5296,5302,5303,5381,5478,5508,5544,5560,5566,5568,5634,5635,5636,5637,5653,5690,5825,5872,5897,5933,5968,5972,6124,6131,6169,6170,6195,6197,6199,6205,6206,6207,6208,6209,6210,6211,6212,6213,6296,6368,6369,6457,6493,6494,6534,6535,6680,6693,6753,6774,6775,6778,6802,6826,6835,6837,6841,6889,6910,6911,6927,6928,6930,6963,7012,7013,7109,7179,7180,7181,7182,7198,7239,7251,7295,7296,7304,7313,7315,7327,7361,7362,7363,7364,7508,7509,7515,7516,7518,7520,7595,7727,7730,7732,7733,7748,7787,7864,7905,7954,7975,7976,8047,8143,8210,8211,8213,8245,8283,8309,8310,8391,8392,8393,8394,8526,8744,8745,8803,8816,8868,8869,8982,9013,9036,9066,9097,9278,9525,9706,9763,9766,5446,5722,5893,6279,6280,6371,6392,6393,6773,6825,7050,8196,8386,8463,8670,8827,8828,8891,8892,9135,9136,9137,9138,9334,9587,9764,9883,9891,9943,9944,6353,7291,7549,7550,8301,8302,8717,8731,9588,9942,4461,4499,4500,4502,4555,4563,4694,4708,4709,4740,4741,4768,4828,4832,4890,5027,5062,5063,5065,5070,5072,5073,5096,5164,5185,5317,5386,5504,5505,5533,5534,5538,5574,5597,5599,5607,5613,5703,5784,5846,5895,5915,5937,5988,6034,6113,6239,6403,6440,6614,6615,6770,6838,6882,7055,7297,7368,7701,7704,7878,7880,7881,8896,9044,9108,9685,9686,4714,4724,4919,5223,5850,5864,5889,5902,5966,6005,6109,6168,6650])). % 153.91/153.60 cnf(13217,plain, % 153.91/153.60 (E(f327(f327(f122(x132171),x132172),f112(x132171)),x132172)), % 153.91/153.60 inference(rename_variables,[],[3059])). % 153.91/153.60 cnf(13220,plain, % 153.91/153.60 (E(f327(f327(f122(x132201),x132202),f112(x132201)),x132202)), % 153.91/153.60 inference(rename_variables,[],[3059])). % 153.91/153.60 cnf(13227,plain, % 153.91/153.60 (~P134(f327(f327(f227(a834),f327(f327(f85(a834),f327(a111,x132271)),f327(a111,x132271))),x132271))), % 153.91/153.60 inference(rename_variables,[],[10440])). % 153.91/153.60 cnf(13230,plain, % 153.91/153.60 (E(f327(f327(f84(a834),x132301),f602(x132301,x132301)),x132301)), % 153.91/153.60 inference(rename_variables,[],[10186])). % 153.91/153.60 cnf(13238,plain, % 153.91/153.60 (P134(f327(f327(f329(x132381),f327(x132382,x132383)),f327(f298(x132384,x132381,x132382),f234(f841(x132384,a831)))))), % 153.91/153.60 inference(rename_variables,[],[3722])). % 153.91/153.60 cnf(13241,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),x132411),f327(f327(f85(a834),x132411),x132411)))), % 153.91/153.60 inference(rename_variables,[],[3392])). % 153.91/153.60 cnf(13251,plain, % 153.91/153.60 (E(f327(x132511,f689(f327(x132511,x132512),f327(f222(x132513),x132512),x132511,x132514,x132513)),f327(x132511,x132512))), % 153.91/153.60 inference(rename_variables,[],[10865])). % 153.91/153.60 cnf(13264,plain, % 153.91/153.60 (~E(f327(f327(f136(x132641),x132642),x132643),x132643)), % 153.91/153.60 inference(rename_variables,[],[4334])). % 153.91/153.60 cnf(13267,plain, % 153.91/153.60 (~E(f327(f298(x132671,f841(x132671,a831),x132672),x132673),f327(f296(x132671),x132673))), % 153.91/153.60 inference(rename_variables,[],[4398])). % 153.91/153.60 cnf(13277,plain, % 153.91/153.60 (~P134(f327(f327(f329(a834),x132771),f327(f252(a834),f2(a834))))), % 153.91/153.60 inference(rename_variables,[],[11508])). % 153.91/153.60 cnf(13284,plain, % 153.91/153.60 (E(f327(f327(f122(x132841),x132842),f112(x132841)),x132842)), % 153.91/153.60 inference(rename_variables,[],[3059])). % 153.91/153.60 cnf(13289,plain, % 153.91/153.60 (~P134(f327(f327(f228(a834),x132891),x132891))), % 153.91/153.60 inference(rename_variables,[],[4384])). % 153.91/153.60 cnf(13292,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),f2(a834)),x132921))), % 153.91/153.60 inference(rename_variables,[],[3145])). % 153.91/153.60 cnf(13295,plain, % 153.91/153.60 (~P134(f327(f327(f329(a834),x132951),f327(f252(a834),f2(a834))))), % 153.91/153.60 inference(rename_variables,[],[11508])). % 153.91/153.60 cnf(13298,plain, % 153.91/153.60 (~E(f327(f222(x132981),x132982),f179(x132981))), % 153.91/153.60 inference(rename_variables,[],[4320])). % 153.91/153.60 cnf(13305,plain, % 153.91/153.60 (P134(f327(f327(f228(a834),x133051),f327(a111,f327(f327(f84(a834),x133052),x133051))))), % 153.91/153.60 inference(rename_variables,[],[3568])). % 153.91/153.60 cnf(13312,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),x133121),f327(a111,x133121)))), % 153.91/153.60 inference(rename_variables,[],[10132])). % 153.91/153.60 cnf(13326,plain, % 153.91/153.60 (~P134(f327(f327(f329(x133261),x133262),f176(f841(x133261,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(13339,plain, % 153.91/153.60 (P134(f327(f327(f227(a1),f53(a834,x133391,f37(x133392,f2(a834),x133393,x133394,x133395,x133396,x133397,x133398,x133399,a25))),x133391))), % 153.91/153.60 inference(rename_variables,[],[11514])). % 153.91/153.60 cnf(13342,plain, % 153.91/153.60 (P134(f327(f327(f329(x133421),f327(x133422,x133423)),f327(f298(x133424,x133421,x133422),f234(f841(x133424,a831)))))), % 153.91/153.60 inference(rename_variables,[],[3722])). % 153.91/153.60 cnf(13345,plain, % 153.91/153.60 (E(f327(f327(f122(x133451),x133452),f112(x133451)),x133452)), % 153.91/153.60 inference(rename_variables,[],[3059])). % 153.91/153.60 cnf(13352,plain, % 153.91/153.60 (P134(f327(f327(f227(f841(x133521,a831)),x133522),f327(f327(f100(f841(x133521,a831)),x133523),f234(f841(x133521,a831)))))), % 153.91/153.60 inference(rename_variables,[],[10905])). % 153.91/153.60 cnf(13382,plain, % 153.91/153.60 (P134(f327(f327(f227(f841(x133821,a831)),x133822),x133822))), % 153.91/153.60 inference(rename_variables,[],[3420])). % 153.91/153.60 cnf(13391,plain, % 153.91/153.60 (~P134(f327(f327(f227(a834),f327(a111,x133911)),x133911))), % 153.91/153.60 inference(rename_variables,[],[4397])). % 153.91/153.60 cnf(13394,plain, % 153.91/153.60 (P134(f327(f327(f274(a834),f327(a111,f2(a834))),x133941))), % 153.91/153.60 inference(rename_variables,[],[3280])). % 153.91/153.60 cnf(13399,plain, % 153.91/153.60 (~E(f327(f222(x133991),x133992),f179(x133991))), % 153.91/153.60 inference(rename_variables,[],[4320])). % 153.91/153.60 cnf(13409,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),f2(a834)),x134091))), % 153.91/153.60 inference(rename_variables,[],[3145])). % 153.91/153.60 cnf(13436,plain, % 153.91/153.60 (~E(f327(f327(f136(x134361),x134362),x134363),x134363)), % 153.91/153.60 inference(rename_variables,[],[4334])). % 153.91/153.60 cnf(13441,plain, % 153.91/153.60 (P134(f327(f327(f227(f841(x134411,a831)),x134412),f327(f327(f297(x134411),x134413),x134412)))), % 153.91/153.60 inference(rename_variables,[],[3565])). % 153.91/153.60 cnf(13452,plain, % 153.91/153.60 (~P134(f327(f327(f329(a834),x134521),f327(f252(a834),f2(a834))))), % 153.91/153.60 inference(rename_variables,[],[11508])). % 153.91/153.60 cnf(13463,plain, % 153.91/153.60 (~P134(f327(f327(f329(f840(x134631,x134631)),x134632),f255(x134631,f176(f841(x134631,a831)))))), % 153.91/153.60 inference(rename_variables,[],[10695])). % 153.91/153.60 cnf(13469,plain, % 153.91/153.60 (P134(f327(f327(f228(a1),f327(f327(f3(a1),x134691),f82(a1))),x134691))), % 153.91/153.60 inference(rename_variables,[],[10509])). % 153.91/153.60 cnf(13476,plain, % 153.91/153.60 (~E(f327(f222(x134761),x134762),f179(x134761))), % 153.91/153.60 inference(rename_variables,[],[4320])). % 153.91/153.60 cnf(13482,plain, % 153.91/153.60 (~E(f327(f327(f84(a1),x134821),x134821),a96)), % 153.91/153.60 inference(rename_variables,[],[4331])). % 153.91/153.60 cnf(13487,plain, % 153.91/153.60 (~P134(f327(f327(f227(a834),f327(a111,x134871)),x134871))), % 153.91/153.60 inference(rename_variables,[],[4397])). % 153.91/153.60 cnf(13490,plain, % 153.91/153.60 (E(f327(f327(f122(x134901),x134902),f112(x134901)),x134902)), % 153.91/153.60 inference(rename_variables,[],[3059])). % 153.91/153.60 cnf(13499,plain, % 153.91/153.60 (E(f327(x134991,f689(f327(x134991,x134992),f327(f222(x134993),x134992),x134991,x134994,x134993)),f327(x134991,x134992))), % 153.91/153.60 inference(rename_variables,[],[10865])). % 153.91/153.60 cnf(13506,plain, % 153.91/153.60 (P134(f327(f327(f227(a1),x135061),x135061))), % 153.91/153.60 inference(rename_variables,[],[3124])). % 153.91/153.60 cnf(13514,plain, % 153.91/153.60 (~E(f327(f327(f136(x135141),x135142),x135143),x135143)), % 153.91/153.60 inference(rename_variables,[],[4334])). % 153.91/153.60 cnf(13519,plain, % 153.91/153.60 (~E(f327(f327(f136(x135191),x135192),x135193),x135193)), % 153.91/153.60 inference(rename_variables,[],[4334])). % 153.91/153.60 cnf(13527,plain, % 153.91/153.60 (~P134(f327(f327(f329(x135271),x135272),f327(f300(x135271,x135273,x135274),f176(f841(x135273,a831)))))), % 153.91/153.60 inference(rename_variables,[],[10698])). % 153.91/153.60 cnf(13530,plain, % 153.91/153.60 (P134(f327(f327(f227(f841(x135301,a831)),x135302),x135302))), % 153.91/153.60 inference(rename_variables,[],[3420])). % 153.91/153.60 cnf(13533,plain, % 153.91/153.60 (~P134(f327(f327(f227(a834),f327(a111,x135331)),x135331))), % 153.91/153.60 inference(rename_variables,[],[4397])). % 153.91/153.60 cnf(13538,plain, % 153.91/153.60 (~E(f327(f327(f136(x135381),x135382),x135383),x135383)), % 153.91/153.60 inference(rename_variables,[],[4334])). % 153.91/153.60 cnf(13545,plain, % 153.91/153.60 (~P134(f327(f327(f176(f841(x135451,f841(x135452,a831))),x135453),x135454))), % 153.91/153.60 inference(rename_variables,[],[4415])). % 153.91/153.60 cnf(13555,plain, % 153.91/153.60 (E(f327(f327(f122(x135551),x135552),f112(x135551)),x135552)), % 153.91/153.60 inference(rename_variables,[],[3059])). % 153.91/153.60 cnf(13562,plain, % 153.91/153.60 (P134(f327(f327(f329(x135621),f327(x135622,x135623)),f327(f298(x135624,x135621,x135622),f234(f841(x135624,a831)))))), % 153.91/153.60 inference(rename_variables,[],[3722])). % 153.91/153.60 cnf(13569,plain, % 153.91/153.60 (~E(f327(f327(f136(x135691),x135692),x135693),x135693)), % 153.91/153.60 inference(rename_variables,[],[4334])). % 153.91/153.60 cnf(13581,plain, % 153.91/153.60 (P134(f327(f327(f274(a834),x135811),x135811))), % 153.91/153.60 inference(rename_variables,[],[3125])). % 153.91/153.60 cnf(13584,plain, % 153.91/153.60 (~P134(f327(f327(f329(x135841),x135842),f176(f841(x135841,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(13589,plain, % 153.91/153.60 (~P134(f327(f327(f329(f840(x135891,x135891)),x135892),f255(x135891,f176(f841(x135891,a831)))))), % 153.91/153.60 inference(rename_variables,[],[10695])). % 153.91/153.60 cnf(13594,plain, % 153.91/153.60 (~P134(f327(f327(f227(a834),f327(f327(f85(a834),f327(a111,x135941)),f327(a111,x135941))),x135941))), % 153.91/153.60 inference(rename_variables,[],[10440])). % 153.91/153.60 cnf(13606,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),f53(a834,x136061,x136062)),x136061))), % 153.91/153.60 inference(rename_variables,[],[3575])). % 153.91/153.60 cnf(13619,plain, % 153.91/153.60 (P134(f327(f327(f329(x136191),f327(x136192,x136193)),f327(f298(x136194,x136191,x136192),f234(f841(x136194,a831)))))), % 153.91/153.60 inference(rename_variables,[],[3722])). % 153.91/153.60 cnf(13622,plain, % 153.91/153.60 (~P134(f327(f327(f329(a834),x136221),f327(f252(a834),f2(a834))))), % 153.91/153.60 inference(rename_variables,[],[11508])). % 153.91/153.60 cnf(13625,plain, % 153.91/153.60 (~P134(f327(f327(f228(a834),f327(f327(f84(a834),x136251),x136252)),x136251))), % 153.91/153.60 inference(rename_variables,[],[4413])). % 153.91/153.60 cnf(13635,plain, % 153.91/153.60 (E(f327(x136351,f689(f327(x136351,x136352),f327(f222(x136353),x136352),x136351,x136354,x136353)),f327(x136351,x136352))), % 153.91/153.60 inference(rename_variables,[],[10865])). % 153.91/153.60 cnf(13642,plain, % 153.91/153.60 (P134(f327(f327(f274(a834),x136421),x136421))), % 153.91/153.60 inference(rename_variables,[],[3125])). % 153.91/153.60 cnf(13649,plain, % 153.91/153.60 (~P134(f327(f327(f329(x136491),x136492),f176(f841(x136491,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(13658,plain, % 153.91/153.60 (P134(f327(f327(f227(f841(x136581,a831)),x136582),x136582))), % 153.91/153.60 inference(rename_variables,[],[3420])). % 153.91/153.60 cnf(13671,plain, % 153.91/153.60 (P134(f327(f327(f227(f841(x136711,a831)),x136712),x136712))), % 153.91/153.60 inference(rename_variables,[],[3420])). % 153.91/153.60 cnf(13689,plain, % 153.91/153.60 (P134(f327(f327(f227(f841(x136891,a831)),f327(f154(x136891),f327(f123(x136891,x136892),x136893))),f327(f154(x136891),x136893)))), % 153.91/153.60 inference(rename_variables,[],[3761])). % 153.91/153.60 cnf(13698,plain, % 153.91/153.60 (~P134(f327(f327(f329(x136981),x136982),f176(f841(x136981,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(13703,plain, % 153.91/153.60 (~P134(f327(f327(f329(a834),x137031),f327(f252(a834),f2(a834))))), % 153.91/153.60 inference(rename_variables,[],[11508])). % 153.91/153.60 cnf(13715,plain, % 153.91/153.60 (P134(f327(f327(f329(x137151),f327(x137152,x137153)),f327(f298(x137154,x137151,x137152),f234(f841(x137154,a831)))))), % 153.91/153.60 inference(rename_variables,[],[3722])). % 153.91/153.60 cnf(13718,plain, % 153.91/153.60 (~P134(f327(f327(f329(f840(x137181,x137181)),x137182),f255(x137181,f176(f841(x137181,a831)))))), % 153.91/153.60 inference(rename_variables,[],[10695])). % 153.91/153.60 cnf(13727,plain, % 153.91/153.60 (~P134(f327(f327(f329(x137271),x137272),f176(f841(x137271,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(13732,plain, % 153.91/153.60 (~P134(f327(f327(f329(x137321),x137322),f176(f841(x137321,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(13735,plain, % 153.91/153.60 (E(f327(x137351,f689(f327(x137351,x137352),f327(f222(x137353),x137352),x137351,x137354,x137353)),f327(x137351,x137352))), % 153.91/153.60 inference(rename_variables,[],[10865])). % 153.91/153.60 cnf(13738,plain, % 153.91/153.60 (P134(f327(f327(f228(a834),x137381),f327(a111,f327(f327(f84(a834),x137381),x137382))))), % 153.91/153.60 inference(rename_variables,[],[3569])). % 153.91/153.60 cnf(13743,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),x137431),f327(f327(f85(a834),x137431),x137431)))), % 153.91/153.60 inference(rename_variables,[],[3392])). % 153.91/153.60 cnf(13746,plain, % 153.91/153.60 (~P134(f327(f327(f329(f840(x137461,x137461)),x137462),f255(x137461,f176(f841(x137461,a831)))))), % 153.91/153.60 inference(rename_variables,[],[10695])). % 153.91/153.60 cnf(13752,plain, % 153.91/153.60 (~P134(f327(f327(f329(x137521),x137522),f327(f300(x137521,x137523,x137524),f176(f841(x137523,a831)))))), % 153.91/153.60 inference(rename_variables,[],[10698])). % 153.91/153.60 cnf(13770,plain, % 153.91/153.60 (E(f327(x137701,f689(f327(x137701,x137702),f327(f222(x137703),x137702),x137701,x137704,x137703)),f327(x137701,x137702))), % 153.91/153.60 inference(rename_variables,[],[10865])). % 153.91/153.60 cnf(13776,plain, % 153.91/153.60 (E(f327(f327(f122(x137761),x137762),f112(x137761)),x137762)), % 153.91/153.60 inference(rename_variables,[],[3059])). % 153.91/153.60 cnf(13784,plain, % 153.91/153.60 (~P134(f327(f327(f329(a834),x137841),f327(f252(a834),f2(a834))))), % 153.91/153.60 inference(rename_variables,[],[11508])). % 153.91/153.60 cnf(13787,plain, % 153.91/153.60 (~P134(f327(f327(f329(f840(x137871,x137871)),x137872),f255(x137871,f176(f841(x137871,a831)))))), % 153.91/153.60 inference(rename_variables,[],[10695])). % 153.91/153.60 cnf(13797,plain, % 153.91/153.60 (~P134(f327(f327(f329(f840(f835(x137971),f835(x137971))),f327(f327(f236(f835(x137971),f835(x137971)),x137972),f112(x137971))),f141(x137971,x137973)))), % 153.91/153.60 inference(rename_variables,[],[4418])). % 153.91/153.60 cnf(13813,plain, % 153.91/153.60 (P134(f327(f327(f227(f841(x138131,a831)),f327(f154(x138131),f327(f123(x138131,x138132),x138133))),f327(f154(x138131),x138133)))), % 153.91/153.60 inference(rename_variables,[],[3761])). % 153.91/153.60 cnf(13816,plain, % 153.91/153.60 (~E(f327(f327(f136(x138161),x138162),x138163),x138163)), % 153.91/153.60 inference(rename_variables,[],[4334])). % 153.91/153.60 cnf(13819,plain, % 153.91/153.60 (~E(f327(f327(f136(x138191),x138192),x138193),x138193)), % 153.91/153.60 inference(rename_variables,[],[4334])). % 153.91/153.60 cnf(13824,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),x138241),f327(f327(f85(a834),x138241),x138241)))), % 153.91/153.60 inference(rename_variables,[],[3392])). % 153.91/153.60 cnf(13831,plain, % 153.91/153.60 (P134(f327(f327(f227(f841(x138311,a831)),f327(f154(x138311),f327(f123(x138311,x138312),x138313))),f327(f154(x138311),x138313)))), % 153.91/153.60 inference(rename_variables,[],[3761])). % 153.91/153.60 cnf(13854,plain, % 153.91/153.60 (~P134(f327(f327(f329(x138541),x138542),f176(f841(x138541,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(13863,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),x138631),f327(f327(f85(a834),f327(a111,x138631)),f327(a111,x138631))))), % 153.91/153.60 inference(rename_variables,[],[10371])). % 153.91/153.60 cnf(13875,plain, % 153.91/153.60 (~P134(f327(f327(f329(x138751),x138752),f176(f841(x138751,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(13886,plain, % 153.91/153.60 (~P134(f327(f327(f329(x138861),x138862),f176(f841(x138861,a831))))), % 153.91/153.60 inference(rename_variables,[],[4400])). % 153.91/153.60 cnf(13894,plain, % 153.91/153.60 (~P134(f327(f327(f228(a834),f327(f327(f84(a834),x138941),x138942)),x138941))), % 153.91/153.60 inference(rename_variables,[],[4413])). % 153.91/153.60 cnf(13926,plain, % 153.91/153.60 (~P134(f327(f327(f329(f840(x139261,x139261)),x139262),f255(x139261,f176(f841(x139261,a831)))))), % 153.91/153.60 inference(rename_variables,[],[10695])). % 153.91/153.60 cnf(13974,plain, % 153.91/153.60 (~P134(f327(f327(f329(f840(x139741,x139741)),x139742),f255(x139741,f176(f841(x139741,a831)))))), % 153.91/153.60 inference(rename_variables,[],[10695])). % 153.91/153.60 cnf(14033,plain, % 153.91/153.60 (P134(f327(f327(f227(a834),x140331),f327(f327(f85(a834),x140331),x140331)))), % 153.91/153.60 inference(rename_variables,[],[3392])). % 153.91/153.60 cnf(14062,plain, % 153.91/153.60 ($false), % 153.91/153.60 inference(scs_inference,[],[3151,3557,3858,3705,3897,3126,4414,4376,4404,4385,4416,3751,3199,4379,3218,3570,3059,13217,13220,13284,13345,13490,13555,13776,4400,13326,13584,13649,13698,13727,13732,13854,13875,13886,3205,3761,13689,13813,13831,3125,13581,13642,3223,3722,13238,13342,13562,13619,13715,3598,4312,4320,13298,13399,13476,4373,4334,13264,13436,13514,13519,13538,13569,13816,13819,4398,13267,4331,13482,3109,3891,3124,13506,3575,13606,3145,13292,13409,3435,3565,13441,3420,13382,13530,13658,13671,3567,3663,3280,13394,3392,13241,13743,13824,14033,4002,3568,13305,3569,13738,3067,3481,4417,4418,13797,4420,4384,13289,4397,13391,13487,13533,4410,4415,13545,4412,4413,13625,13894,3375,10840,10632,10061,10337,10938,10124,11704,10132,13312,11577,11477,12200,11066,12980,10308,12000,11991,13087,10371,13863,11625,10352,11265,10801,12202,12228,10685,10905,13352,12912,10648,10509,13469,4123,10680,10969,11514,13339,4128,10865,13251,13499,13635,13735,13770,11290,10682,10186,13230,10447,3182,3158,10951,10728,10456,12686,12689,10460,11388,11925,10887,10942,13032,12034,11506,11508,13277,13295,13452,13622,13703,13784,11565,10454,12429,10853,10695,13463,13589,13718,13746,13787,13926,13974,10698,13527,13752,10892,10440,13227,13594,10553,11785,11020,13016,12246,10650,10899,12306,2908,3671,4426,4909,6245,7402,8696,4708,9517,5243,7409,7937,8383,7866,8424,4500,4903,5176,5201,7881,8896,5146,9696,8427,8608,6605,6614,5538,8561,4908,5509,7405,9379,6697,5403,5601,5922,6111,6358,8341,6184,6034,5784,5870,7368,9053,9422,5534,5578,7238,8928,5195,6502,9090,4432,6033,6389,8604,6043,5984,8298,5587,7338,5093,5816,5574,6756,8607,9685,6234,6651,7900,8107,8753,7274,5748,6790,7221,8497,5676,8333,5668,6175,9699,5164,5066,5594,6648,5372,4598,9365,7082,7457,2,5088,4634,5041,9299,4768,5414,6281,6310,9466,5151,4628,6830,7344,9903,4828,5442,7276,8089,8412,9078,9428,5703,5052,5181,5292,5895,9362,5597,5276,5515,5991,8428,8998,4554,4561,5150,6119,8931,6615,9333,5251,5765,5445,9108,5413,5583,6311,7697,5248,6149,8895,6239,7359,5244,4694,5231,5677,6671,9032,5169,4805,7624,9641,8174,8651,9,4742,5533,6232,6351,6794,5400,7328,6113,8343,8660,6090,5752,7952,4806,5072,5386,5580,5958,7223,8040,9760,6604,5136,8419,9310,4833,5726,7545,7610,8411,9275,8519,6228,8150,4890,4897,5145,8399,5613,5740,5368,8867,4832,8642,8548,5160,6657,8447,8492,9467,5525,4562,5369,9231,9361,9708,5070,7246,4876,6633,8732,9381,9565,6142,9690,6134,5054,5163,6352,5591,4507,8866,4505,5433,7657,8901,9541,8,8278,5443,6654,9421,7564,5960,8484,6141,6237,6686,8684,5149,5855,6108,6771,9363,8448,8685,7880,9258,6655,5350,5915,6126,9709,9386,9043,9729,5659,8935,5963,5954,5988,8758,8930,6567,8352,6096,6406,6626,4456,5918,4956,6770,6876,9952,7689,5085,5193,6227,7249,4831,5293,5667,6106,8362,8426,5898,9519,5065,6653,8131,9044,5964,5089,5167,6123,8974,9593,6391,5616,5828,5846,7687,9734,8661,8742,6336,9692,6603,9042,5062,8294,9364,5429,5589,5235,5639,5776,7834,9259,9232,8865,5159,9429,6403,9088,9233,5399,8766,6992,8456,5180,5986,6052,6282,4966,5919,5027,5819,6645,6793,4535]), % 153.91/153.60 ['proof']). % 153.91/153.60 % SZS output end Proof % 153.91/153.60 % Total time :139.160000s %------------------------------------------------------------------------------