%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : NUM925+2 : TPTP v8.2.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n032.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 12:27:07 EDT 2024 % Result : Theorem 1.78s 1.94s % Output : CNFRefutation 1.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : NUM925+2 : TPTP v8.2.0. Released v5.3.0. % 0.07/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.11/0.31 % Computer : n032.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 300 % 0.11/0.31 % DateTime : Sun Jun 23 00:09:38 EDT 2024 % 0.11/0.31 % CPUTime : % 0.46/0.52 start to proof:theBenchmark % 1.78/1.90 %------------------------------------------- % 1.78/1.90 % File :CSE---1.7 % 1.78/1.90 % Problem :theBenchmark % 1.78/1.90 % Transform :cnf % 1.78/1.90 % Format :tptp:raw % 1.78/1.90 % Command :java -jar mcs_scs.jar %d %s % 1.78/1.90 % 1.78/1.90 % Result :Theorem 1.070000s % 1.78/1.90 % Output :CNFRefutation 1.070000s % 1.78/1.90 %------------------------------------------- % 1.78/1.91 %------------------------------------------------------------------------------ % 1.78/1.91 % File : NUM925+2 : TPTP v8.2.0. Released v5.3.0. % 1.78/1.91 % Domain : Number Theory % 1.78/1.91 % Problem : Sum of two squares line 192, 500 axioms selected % 1.78/1.91 % Version : Especial. % 1.78/1.91 % English : % 1.78/1.91 % 1.78/1.91 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 1.78/1.91 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 1.78/1.91 % Source : [Bla11] % 1.78/1.91 % Names : s2s_500_fofmg_l192 [Bla11] % 1.78/1.91 % 1.78/1.91 % Status : Theorem % 1.78/1.91 % Rating : 0.17 v7.5.0, 0.19 v7.4.0, 0.07 v7.3.0, 0.21 v7.2.0, 0.17 v7.0.0, 0.23 v6.4.0, 0.27 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.33 v6.0.0, 0.26 v5.5.0, 0.56 v5.4.0, 0.54 v5.3.0 % 1.78/1.91 % Syntax : Number of formulae : 708 ( 259 unt; 0 def) % 1.78/1.91 % Number of atoms : 1444 ( 466 equ) % 1.78/1.91 % Maximal formula atoms : 7 ( 2 avg) % 1.78/1.91 % Number of connectives : 837 ( 101 ~; 19 |; 49 &) % 1.78/1.91 % ( 195 <=>; 473 =>; 0 <=; 0 <~>) % 1.78/1.91 % Maximal formula depth : 11 ( 4 avg) % 1.78/1.91 % Maximal term depth : 9 ( 2 avg) % 1.78/1.91 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty) % 1.78/1.91 % Number of functors : 48 ( 48 usr; 22 con; 0-2 aty) % 1.78/1.91 % Number of variables : 1275 (1263 !; 12 ?) % 1.78/1.91 % SPC : FOF_THM_RFO_SEQ % 1.78/1.91 % 1.78/1.91 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 1.78/1.91 % 2011-08-09 14:29:49 % 1.78/1.91 % : Encoded with monomorphized guards. % 1.78/1.91 %------------------------------------------------------------------------------ % 1.78/1.91 %----Explicit typings (5) % 1.78/1.91 fof(gsy_c_fFalse,axiom, % 1.78/1.91 is_bool(fFalse) ). % 1.78/1.91 % 1.78/1.91 fof(gsy_c_fTrue,axiom, % 1.78/1.91 is_bool(fTrue) ). % 1.78/1.91 % 1.78/1.91 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__HOL__Obool,axiom, % 1.78/1.91 ! [B_1_1,B_2_1] : is_bool(hAPP_int_bool(B_1_1,B_2_1)) ). % 1.78/1.91 % 1.78/1.91 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,axiom, % 1.78/1.91 ! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)) ). % 1.78/1.91 % 1.78/1.91 fof(gsy_c_hAPP_000tc__RealDef__Oreal_000tc__HOL__Obool,axiom, % 1.78/1.91 ! [B_1_1,B_2_1] : is_bool(hAPP_real_bool(B_1_1,B_2_1)) ). % 1.78/1.91 % 1.78/1.91 %----Relevant facts (699) % 1.78/1.91 fof(fact_0_n1pos,axiom, % 1.78/1.91 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))) ). % 1.78/1.91 % 1.78/1.91 fof(fact_1_t1,axiom, % 1.78/1.91 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ). % 1.78/1.91 % 1.78/1.91 fof(fact_2_sum__power2__eq__zero__iff,axiom, % 1.78/1.91 ! [Xa,Ya] : % 1.78/1.91 ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls))))) = zero_zero_int % 1.78/1.91 <=> ( Xa = zero_zero_int % 1.78/1.91 & Ya = zero_zero_int ) ) ). % 1.78/1.91 % 1.78/1.91 fof(fact_3_sum__power2__eq__zero__iff,axiom, % 1.78/1.91 ! [Xa,Ya] : % 1.78/1.91 ( hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls))))) = zero_zero_real % 1.78/1.91 <=> ( Xa = zero_zero_real % 1.78/1.91 & Ya = zero_zero_real ) ) ). % 1.78/1.91 % 1.78/1.91 fof(fact_4_one__power2,axiom, % 1.78/1.91 hAPP_nat_int(power_power_int(one_one_int),number_number_of_nat(bit0(bit1(pls)))) = one_one_int ). % 1.78/1.91 % 1.78/1.91 fof(fact_5_one__power2,axiom, % 1.78/1.91 hAPP_nat_nat(power_power_nat(one_one_nat),number_number_of_nat(bit0(bit1(pls)))) = one_one_nat ). % 1.78/1.91 % 1.78/1.91 fof(fact_6_one__power2,axiom, % 1.78/1.91 hAPP_nat_real(power_power_real(one_one_real),number_number_of_nat(bit0(bit1(pls)))) = one_one_real ). % 1.78/1.91 % 1.78/1.91 fof(fact_7_zero__power2,axiom, % 1.78/1.91 hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int ). % 1.78/1.91 % 1.78/1.91 fof(fact_8_zero__power2,axiom, % 1.78/1.91 hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_nat ). % 1.78/1.91 % 1.78/1.91 fof(fact_9_zero__power2,axiom, % 1.78/1.91 hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real ). % 1.78/1.91 % 1.78/1.91 fof(fact_10_zero__eq__power2,axiom, % 1.78/1.91 ! [A_24] : % 1.78/1.91 ( hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int % 1.78/1.91 <=> A_24 = zero_zero_int ) ). % 1.78/1.91 % 1.78/1.91 fof(fact_11_zero__eq__power2,axiom, % 1.78/1.91 ! [A_24] : % 1.78/1.91 ( hAPP_nat_real(power_power_real(A_24),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real % 1.78/1.91 <=> A_24 = zero_zero_real ) ). % 1.78/1.91 % 1.78/1.91 fof(fact_12_add__special_I2_J,axiom, % 1.78/1.91 ! [W_8] : hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_8)) = number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),W_8)) ). % 1.78/1.91 % 1.78/1.91 fof(fact_13_add__special_I2_J,axiom, % 1.78/1.91 ! [W_8] : hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(W_8)) = number267125858f_real(hAPP_int_int(plus_plus_int(bit1(pls)),W_8)) ). % 1.78/1.91 % 1.78/1.91 fof(fact_14_add__special_I3_J,axiom, % 1.78/1.91 ! [V_11] : hAPP_int_int(plus_plus_int(number_number_of_int(V_11)),one_one_int) = number_number_of_int(hAPP_int_int(plus_plus_int(V_11),bit1(pls))) ). % 1.78/1.91 % 1.78/1.91 fof(fact_15_add__special_I3_J,axiom, % 1.78/1.91 ! [V_11] : hAPP_real_real(plus_plus_real(number267125858f_real(V_11)),one_one_real) = number267125858f_real(hAPP_int_int(plus_plus_int(V_11),bit1(pls))) ). % 1.78/1.91 % 1.78/1.91 fof(fact_16_one__add__one__is__two,axiom, % 1.78/1.91 hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(bit0(bit1(pls))) ). % 1.78/1.91 % 1.78/1.91 fof(fact_17_one__add__one__is__two,axiom, % 1.78/1.91 hAPP_real_real(plus_plus_real(one_one_real),one_one_real) = number267125858f_real(bit0(bit1(pls))) ). % 1.78/1.91 % 1.78/1.91 fof(fact_18_semiring__one__add__one__is__two,axiom, % 1.78/1.91 hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(bit0(bit1(pls))) ). % 1.78/1.91 % 1.78/1.91 fof(fact_19_semiring__one__add__one__is__two,axiom, % 1.78/1.91 hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(bit0(bit1(pls))) ). % 1.78/1.91 % 1.78/1.91 fof(fact_20_semiring__one__add__one__is__two,axiom, % 1.78/1.91 hAPP_real_real(plus_plus_real(one_one_real),one_one_real) = number267125858f_real(bit0(bit1(pls))) ). % 1.78/1.91 % 1.78/1.91 fof(fact_21_quartic__square__square,axiom, % 1.78/1.91 ! [X] : hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit0(bit1(pls))))) ). % 1.78/1.91 % 1.78/1.91 fof(fact_22_power__0__left__number__of,axiom, % 1.78/1.91 ! [W_7] : % 1.78/1.91 ( ( number_number_of_nat(W_7) = zero_zero_nat % 1.78/1.91 => hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(W_7)) = one_one_int ) % 1.78/1.91 & ( number_number_of_nat(W_7) != zero_zero_nat % 1.78/1.91 => hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(W_7)) = zero_zero_int ) ) ). % 1.78/1.91 % 1.78/1.91 fof(fact_23_power__0__left__number__of,axiom, % 1.78/1.91 ! [W_7] : % 1.78/1.91 ( ( number_number_of_nat(W_7) = zero_zero_nat % 1.78/1.91 => hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(W_7)) = one_one_nat ) % 1.78/1.91 & ( number_number_of_nat(W_7) != zero_zero_nat % 1.78/1.91 => hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(W_7)) = zero_zero_nat ) ) ). % 1.78/1.91 % 1.78/1.91 fof(fact_24_power__0__left__number__of,axiom, % 1.78/1.91 ! [W_7] : % 1.78/1.91 ( ( number_number_of_nat(W_7) = zero_zero_nat % 1.78/1.91 => hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(W_7)) = one_one_real ) % 1.78/1.91 & ( number_number_of_nat(W_7) != zero_zero_nat % 1.78/1.91 => hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(W_7)) = zero_zero_real ) ) ). % 1.78/1.91 % 1.78/1.91 fof(fact_25_semiring__norm_I110_J,axiom, % 1.78/1.91 one_one_int = number_number_of_int(bit1(pls)) ). % 1.78/1.91 % 1.78/1.91 fof(fact_26_semiring__norm_I110_J,axiom, % 1.78/1.91 one_one_real = number267125858f_real(bit1(pls)) ). % 1.78/1.91 % 1.78/1.91 fof(fact_27_numeral__1__eq__1,axiom, % 1.78/1.91 number_number_of_int(bit1(pls)) = one_one_int ). % 1.78/1.91 % 1.78/1.91 fof(fact_28_numeral__1__eq__1,axiom, % 1.78/1.91 number267125858f_real(bit1(pls)) = one_one_real ). % 1.78/1.91 % 1.78/1.91 fof(fact_29_n0,axiom, % 1.78/1.91 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),n)) ). % 1.78/1.91 % 1.78/1.91 fof(fact_30_zless__linear,axiom, % 1.78/1.91 ! [X,Y] : % 1.78/1.91 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Y)) % 1.78/1.91 | X = Y % 1.78/1.91 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),X)) ) ). % 1.78/1.91 % 1.78/1.91 fof(fact_31_less__number__of__int__code,axiom, % 1.78/1.91 ! [K_2,L_1] : % 1.78/1.91 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K_2)),number_number_of_int(L_1))) % 1.78/1.91 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)) ) ). % 1.78/1.91 % 1.78/1.91 fof(fact_32_plus__numeral__code_I9_J,axiom, % 1.78/1.91 ! [V_6,W] : hAPP_int_int(plus_plus_int(number_number_of_int(V_6)),number_number_of_int(W)) = number_number_of_int(hAPP_int_int(plus_plus_int(V_6),W)) ). % 1.78/1.91 % 1.78/1.91 fof(fact_33_less__number__of,axiom, % 1.78/1.91 ! [Xa,Ya] : % 1.78/1.91 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),number_number_of_int(Ya))) % 1.78/1.91 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)) ) ). % 1.78/1.91 % 1.78/1.91 fof(fact_34_less__number__of,axiom, % 1.78/1.91 ! [Xa,Ya] : % 1.78/1.91 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),number267125858f_real(Ya))) % 1.78/1.91 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)) ) ). % 1.78/1.91 % 1.78/1.91 fof(fact_35_zero__is__num__zero,axiom, % 1.78/1.91 zero_zero_int = number_number_of_int(pls) ). % 1.78/1.91 % 1.78/1.91 fof(fact_36_zpower__int,axiom, % 1.78/1.91 ! [M_1,N_1] : hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M_1)),N_1) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M_1),N_1)) ). % 1.78/1.91 % 1.78/1.91 fof(fact_37_int__power,axiom, % 1.78/1.91 ! [M_1,N_1] : hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M_1),N_1)) = hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M_1)),N_1) ). % 1.78/1.91 % 1.78/1.91 fof(fact_38_zadd__int__left,axiom, % 1.78/1.91 ! [M_1,N_1,Z_2] : hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,N_1)),Z_2)) = hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(M_1),N_1))),Z_2) ). % 1.78/1.91 % 1.78/1.91 fof(fact_39_zadd__int,axiom, % 1.78/1.91 ! [M_1,N_1] : hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_1)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(M_1),N_1)) ). % 1.78/1.91 % 1.78/1.91 fof(fact_40_int__1,axiom, % 1.78/1.91 hAPP_nat_int(semiri1621563631at_int,one_one_nat) = one_one_int ). % 1.78/1.91 % 1.78/1.91 fof(fact_41_nat__number__of__Pls,axiom, % 1.78/1.92 number_number_of_nat(pls) = zero_zero_nat ). % 1.78/1.92 % 1.78/1.92 fof(fact_42_semiring__norm_I113_J,axiom, % 1.78/1.92 zero_zero_nat = number_number_of_nat(pls) ). % 1.78/1.92 % 1.78/1.92 fof(fact_43_int__eq__0__conv,axiom, % 1.78/1.92 ! [Na] : % 1.78/1.92 ( hAPP_nat_int(semiri1621563631at_int,Na) = zero_zero_int % 1.78/1.92 <=> Na = zero_zero_nat ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_44_int__0,axiom, % 1.78/1.92 hAPP_nat_int(semiri1621563631at_int,zero_zero_nat) = zero_zero_int ). % 1.78/1.92 % 1.78/1.92 fof(fact_45_nat__1__add__1,axiom, % 1.78/1.92 hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(bit0(bit1(pls))) ). % 1.78/1.92 % 1.78/1.92 fof(fact_46_less__int__code_I16_J,axiom, % 1.78/1.92 ! [K1,K2] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit1(K2))) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_47_rel__simps_I17_J,axiom, % 1.78/1.92 ! [K_2,L_1] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K_2)),bit1(L_1))) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_48_rel__simps_I2_J,axiom, % 1.78/1.92 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_49_less__int__code_I13_J,axiom, % 1.78/1.92 ! [K1,K2] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit0(K2))) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_50_rel__simps_I14_J,axiom, % 1.78/1.92 ! [K_2,L_1] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K_2)),bit0(L_1))) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_51_zadd__strict__right__mono,axiom, % 1.78/1.92 ! [K,I_2,J_2] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),J_2)) % 1.78/1.92 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(I_2),K)),hAPP_int_int(plus_plus_int(J_2),K))) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_52_add__nat__number__of,axiom, % 1.78/1.92 ! [V_10,V_6] : % 1.78/1.92 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls)) % 1.78/1.92 => hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),number_number_of_nat(V_10)) = number_number_of_nat(V_10) ) % 1.78/1.92 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls)) % 1.78/1.92 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_10),pls)) % 1.78/1.92 => hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),number_number_of_nat(V_10)) = number_number_of_nat(V_6) ) % 1.78/1.92 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_10),pls)) % 1.78/1.92 => hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),number_number_of_nat(V_10)) = number_number_of_nat(hAPP_int_int(plus_plus_int(V_6),V_10)) ) ) ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_53_one__is__num__one,axiom, % 1.78/1.92 one_one_int = number_number_of_int(bit1(pls)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_54_nat__numeral__1__eq__1,axiom, % 1.78/1.92 number_number_of_nat(bit1(pls)) = one_one_nat ). % 1.78/1.92 % 1.78/1.92 fof(fact_55_Numeral1__eq1__nat,axiom, % 1.78/1.92 one_one_nat = number_number_of_nat(bit1(pls)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_56_eq__number__of,axiom, % 1.78/1.92 ! [Xa,Ya] : % 1.78/1.92 ( number_number_of_int(Xa) = number_number_of_int(Ya) % 1.78/1.92 <=> Xa = Ya ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_57_eq__number__of,axiom, % 1.78/1.92 ! [Xa,Ya] : % 1.78/1.92 ( number267125858f_real(Xa) = number267125858f_real(Ya) % 1.78/1.92 <=> Xa = Ya ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_58_number__of__reorient,axiom, % 1.78/1.92 ! [Wa,Xa] : % 1.78/1.92 ( number_number_of_nat(Wa) = Xa % 1.78/1.92 <=> Xa = number_number_of_nat(Wa) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_59_number__of__reorient,axiom, % 1.78/1.92 ! [Wa,Xa] : % 1.78/1.92 ( number_number_of_int(Wa) = Xa % 1.78/1.92 <=> Xa = number_number_of_int(Wa) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_60_number__of__reorient,axiom, % 1.78/1.92 ! [Wa,Xa] : % 1.78/1.92 ( number267125858f_real(Wa) = Xa % 1.78/1.92 <=> Xa = number267125858f_real(Wa) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_61_rel__simps_I51_J,axiom, % 1.78/1.92 ! [K_2,L_1] : % 1.78/1.92 ( bit1(K_2) = bit1(L_1) % 1.78/1.92 <=> K_2 = L_1 ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_62_rel__simps_I48_J,axiom, % 1.78/1.92 ! [K_2,L_1] : % 1.78/1.92 ( bit0(K_2) = bit0(L_1) % 1.78/1.92 <=> K_2 = L_1 ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_63_even__less__0__iff,axiom, % 1.78/1.92 ! [A_24] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_24),A_24)),zero_zero_int)) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),zero_zero_int)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_64_even__less__0__iff,axiom, % 1.78/1.92 ! [A_24] : % 1.78/1.92 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_24),A_24)),zero_zero_real)) % 1.78/1.92 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),zero_zero_real)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_65_zadd__assoc,axiom, % 1.78/1.92 ! [Z1,Z2,Z3] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(Z1),Z2)),Z3) = hAPP_int_int(plus_plus_int(Z1),hAPP_int_int(plus_plus_int(Z2),Z3)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_66_zadd__left__commute,axiom, % 1.78/1.92 ! [X,Y,Z_2] : hAPP_int_int(plus_plus_int(X),hAPP_int_int(plus_plus_int(Y),Z_2)) = hAPP_int_int(plus_plus_int(Y),hAPP_int_int(plus_plus_int(X),Z_2)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_67_zadd__commute,axiom, % 1.78/1.92 ! [Z_2,W] : hAPP_int_int(plus_plus_int(Z_2),W) = hAPP_int_int(plus_plus_int(W),Z_2) ). % 1.78/1.92 % 1.78/1.92 fof(fact_68_int__int__eq,axiom, % 1.78/1.92 ! [Ma,Na] : % 1.78/1.92 ( hAPP_nat_int(semiri1621563631at_int,Ma) = hAPP_nat_int(semiri1621563631at_int,Na) % 1.78/1.92 <=> Ma = Na ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_69_less__special_I3_J,axiom, % 1.78/1.92 ! [Xa] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),zero_zero_int)) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_70_less__special_I3_J,axiom, % 1.78/1.92 ! [Xa] : % 1.78/1.92 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),zero_zero_real)) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_71_less__special_I1_J,axiom, % 1.78/1.92 ! [Ya] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(Ya))) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_72_less__special_I1_J,axiom, % 1.78/1.92 ! [Ya] : % 1.78/1.92 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(Ya))) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_73_rel__simps_I12_J,axiom, % 1.78/1.92 ! [K_2] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K_2)),pls)) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),pls)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_74_less__int__code_I15_J,axiom, % 1.78/1.92 ! [K1,K2] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit0(K2))) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_75_rel__simps_I16_J,axiom, % 1.78/1.92 ! [K_2,L_1] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K_2)),bit0(L_1))) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_76_rel__simps_I10_J,axiom, % 1.78/1.92 ! [K_2] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K_2)),pls)) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),pls)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_77_rel__simps_I4_J,axiom, % 1.78/1.92 ! [K_2] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(K_2))) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),K_2)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_78_bin__less__0__simps_I4_J,axiom, % 1.78/1.92 ! [Wa] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(Wa)),zero_zero_int)) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_79_bin__less__0__simps_I1_J,axiom, % 1.78/1.92 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_80_bin__less__0__simps_I3_J,axiom, % 1.78/1.92 ! [Wa] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(Wa)),zero_zero_int)) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_81_int__0__less__1,axiom, % 1.78/1.92 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_82_zless__add1__eq,axiom, % 1.78/1.92 ! [Wa,Z_3] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),hAPP_int_int(plus_plus_int(Z_3),one_one_int))) % 1.78/1.92 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_3)) % 1.78/1.92 | Wa = Z_3 ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_83_int__less__0__conv,axiom, % 1.78/1.92 ! [K] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K)),zero_zero_int)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_84_less__special_I4_J,axiom, % 1.78/1.92 ! [Xa] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),one_one_int)) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls))) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_85_less__special_I4_J,axiom, % 1.78/1.92 ! [Xa] : % 1.78/1.92 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),one_one_real)) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls))) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_86_less__special_I2_J,axiom, % 1.78/1.92 ! [Ya] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(Ya))) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_87_less__special_I2_J,axiom, % 1.78/1.92 ! [Ya] : % 1.78/1.92 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(Ya))) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_88_odd__less__0,axiom, % 1.78/1.92 ! [Z_3] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),Z_3)),Z_3)),zero_zero_int)) % 1.78/1.92 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),zero_zero_int)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_89_double__eq__0__iff,axiom, % 1.78/1.92 ! [A_24] : % 1.78/1.92 ( hAPP_int_int(plus_plus_int(A_24),A_24) = zero_zero_int % 1.78/1.92 <=> A_24 = zero_zero_int ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_90_double__eq__0__iff,axiom, % 1.78/1.92 ! [A_24] : % 1.78/1.92 ( hAPP_real_real(plus_plus_real(A_24),A_24) = zero_zero_real % 1.78/1.92 <=> A_24 = zero_zero_real ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_91_rel__simps_I46_J,axiom, % 1.78/1.92 ! [K] : bit1(K) != pls ). % 1.78/1.92 % 1.78/1.92 fof(fact_92_rel__simps_I39_J,axiom, % 1.78/1.92 ! [L] : pls != bit1(L) ). % 1.78/1.92 % 1.78/1.92 fof(fact_93_rel__simps_I50_J,axiom, % 1.78/1.92 ! [K,L] : bit1(K) != bit0(L) ). % 1.78/1.92 % 1.78/1.92 fof(fact_94_rel__simps_I49_J,axiom, % 1.78/1.92 ! [K,L] : bit0(K) != bit1(L) ). % 1.78/1.92 % 1.78/1.92 fof(fact_95_rel__simps_I44_J,axiom, % 1.78/1.92 ! [K_2] : % 1.78/1.92 ( bit0(K_2) = pls % 1.78/1.92 <=> K_2 = pls ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_96_rel__simps_I38_J,axiom, % 1.78/1.92 ! [L_1] : % 1.78/1.92 ( pls = bit0(L_1) % 1.78/1.92 <=> pls = L_1 ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_97_Bit0__Pls,axiom, % 1.78/1.92 bit0(pls) = pls ). % 1.78/1.92 % 1.78/1.92 fof(fact_98_Pls__def,axiom, % 1.78/1.92 pls = zero_zero_int ). % 1.78/1.92 % 1.78/1.92 fof(fact_99_int__0__neq__1,axiom, % 1.78/1.92 zero_zero_int != one_one_int ). % 1.78/1.92 % 1.78/1.92 fof(fact_100_add__Pls__right,axiom, % 1.78/1.92 ! [K] : hAPP_int_int(plus_plus_int(K),pls) = K ). % 1.78/1.92 % 1.78/1.92 fof(fact_101_add__Pls,axiom, % 1.78/1.92 ! [K] : hAPP_int_int(plus_plus_int(pls),K) = K ). % 1.78/1.92 % 1.78/1.92 fof(fact_102_add__Bit0__Bit0,axiom, % 1.78/1.92 ! [K,L] : hAPP_int_int(plus_plus_int(bit0(K)),bit0(L)) = bit0(hAPP_int_int(plus_plus_int(K),L)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_103_Bit0__def,axiom, % 1.78/1.92 ! [K] : bit0(K) = hAPP_int_int(plus_plus_int(K),K) ). % 1.78/1.92 % 1.78/1.92 fof(fact_104_zadd__0__right,axiom, % 1.78/1.92 ! [Z_2] : hAPP_int_int(plus_plus_int(Z_2),zero_zero_int) = Z_2 ). % 1.78/1.92 % 1.78/1.92 fof(fact_105_zadd__0,axiom, % 1.78/1.92 ! [Z_2] : hAPP_int_int(plus_plus_int(zero_zero_int),Z_2) = Z_2 ). % 1.78/1.92 % 1.78/1.92 fof(fact_106_semiring__numeral__0__eq__0,axiom, % 1.78/1.92 number_number_of_int(pls) = zero_zero_int ). % 1.78/1.92 % 1.78/1.92 fof(fact_107_semiring__numeral__0__eq__0,axiom, % 1.78/1.92 number_number_of_nat(pls) = zero_zero_nat ). % 1.78/1.92 % 1.78/1.92 fof(fact_108_semiring__numeral__0__eq__0,axiom, % 1.78/1.92 number267125858f_real(pls) = zero_zero_real ). % 1.78/1.92 % 1.78/1.92 fof(fact_109_number__of__Pls,axiom, % 1.78/1.92 number_number_of_int(pls) = zero_zero_int ). % 1.78/1.92 % 1.78/1.92 fof(fact_110_number__of__Pls,axiom, % 1.78/1.92 number267125858f_real(pls) = zero_zero_real ). % 1.78/1.92 % 1.78/1.92 fof(fact_111_semiring__norm_I112_J,axiom, % 1.78/1.92 zero_zero_int = number_number_of_int(pls) ). % 1.78/1.92 % 1.78/1.92 fof(fact_112_semiring__norm_I112_J,axiom, % 1.78/1.92 zero_zero_real = number267125858f_real(pls) ). % 1.78/1.92 % 1.78/1.92 fof(fact_113_add__numeral__0,axiom, % 1.78/1.92 ! [A_68] : hAPP_int_int(plus_plus_int(number_number_of_int(pls)),A_68) = A_68 ). % 1.78/1.92 % 1.78/1.92 fof(fact_114_add__numeral__0,axiom, % 1.78/1.92 ! [A_68] : hAPP_real_real(plus_plus_real(number267125858f_real(pls)),A_68) = A_68 ). % 1.78/1.92 % 1.78/1.92 fof(fact_115_add__numeral__0__right,axiom, % 1.78/1.92 ! [A_67] : hAPP_int_int(plus_plus_int(A_67),number_number_of_int(pls)) = A_67 ). % 1.78/1.92 % 1.78/1.92 fof(fact_116_add__numeral__0__right,axiom, % 1.78/1.92 ! [A_67] : hAPP_real_real(plus_plus_real(A_67),number267125858f_real(pls)) = A_67 ). % 1.78/1.92 % 1.78/1.92 fof(fact_117_power__eq__0__iff__number__of,axiom, % 1.78/1.92 ! [A_24,Wa] : % 1.78/1.92 ( hAPP_nat_int(power_power_int(A_24),number_number_of_nat(Wa)) = zero_zero_int % 1.78/1.92 <=> ( A_24 = zero_zero_int % 1.78/1.92 & number_number_of_nat(Wa) != zero_zero_nat ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_118_power__eq__0__iff__number__of,axiom, % 1.78/1.92 ! [A_24,Wa] : % 1.78/1.92 ( hAPP_nat_nat(power_power_nat(A_24),number_number_of_nat(Wa)) = zero_zero_nat % 1.78/1.92 <=> ( A_24 = zero_zero_nat % 1.78/1.92 & number_number_of_nat(Wa) != zero_zero_nat ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_119_power__eq__0__iff__number__of,axiom, % 1.78/1.92 ! [A_24,Wa] : % 1.78/1.92 ( hAPP_nat_real(power_power_real(A_24),number_number_of_nat(Wa)) = zero_zero_real % 1.78/1.92 <=> ( A_24 = zero_zero_real % 1.78/1.92 & number_number_of_nat(Wa) != zero_zero_nat ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_120_add__number__of__left,axiom, % 1.78/1.92 ! [V_9,W_6,Z_5] : hAPP_int_int(plus_plus_int(number_number_of_int(V_9)),hAPP_int_int(plus_plus_int(number_number_of_int(W_6)),Z_5)) = hAPP_int_int(plus_plus_int(number_number_of_int(hAPP_int_int(plus_plus_int(V_9),W_6))),Z_5) ). % 1.78/1.92 % 1.78/1.92 fof(fact_121_add__number__of__left,axiom, % 1.78/1.92 ! [V_9,W_6,Z_5] : hAPP_real_real(plus_plus_real(number267125858f_real(V_9)),hAPP_real_real(plus_plus_real(number267125858f_real(W_6)),Z_5)) = hAPP_real_real(plus_plus_real(number267125858f_real(hAPP_int_int(plus_plus_int(V_9),W_6))),Z_5) ). % 1.78/1.92 % 1.78/1.92 fof(fact_122_add__number__of__eq,axiom, % 1.78/1.92 ! [V_8,W_5] : hAPP_int_int(plus_plus_int(number_number_of_int(V_8)),number_number_of_int(W_5)) = number_number_of_int(hAPP_int_int(plus_plus_int(V_8),W_5)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_123_add__number__of__eq,axiom, % 1.78/1.92 ! [V_8,W_5] : hAPP_real_real(plus_plus_real(number267125858f_real(V_8)),number267125858f_real(W_5)) = number267125858f_real(hAPP_int_int(plus_plus_int(V_8),W_5)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_124_number__of__add,axiom, % 1.78/1.92 ! [V_7,W_4] : number_number_of_int(hAPP_int_int(plus_plus_int(V_7),W_4)) = hAPP_int_int(plus_plus_int(number_number_of_int(V_7)),number_number_of_int(W_4)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_125_number__of__add,axiom, % 1.78/1.92 ! [V_7,W_4] : number267125858f_real(hAPP_int_int(plus_plus_int(V_7),W_4)) = hAPP_real_real(plus_plus_real(number267125858f_real(V_7)),number267125858f_real(W_4)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_126_add__Bit1__Bit0,axiom, % 1.78/1.92 ! [K,L] : hAPP_int_int(plus_plus_int(bit1(K)),bit0(L)) = bit1(hAPP_int_int(plus_plus_int(K),L)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_127_add__Bit0__Bit1,axiom, % 1.78/1.92 ! [K,L] : hAPP_int_int(plus_plus_int(bit0(K)),bit1(L)) = bit1(hAPP_int_int(plus_plus_int(K),L)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_128_Bit1__def,axiom, % 1.78/1.92 ! [K] : bit1(K) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K)),K) ). % 1.78/1.92 % 1.78/1.92 fof(fact_129_odd__nonzero,axiom, % 1.78/1.92 ! [Z_2] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),Z_2)),Z_2) != zero_zero_int ). % 1.78/1.92 % 1.78/1.92 fof(fact_130_number__of__int,axiom, % 1.78/1.92 ! [N_29] : number_number_of_nat(hAPP_nat_int(semiri1621563631at_int,N_29)) = hAPP_nat_nat(semiri984289939at_nat,N_29) ). % 1.78/1.92 % 1.78/1.92 fof(fact_131_number__of__int,axiom, % 1.78/1.92 ! [N_29] : number_number_of_int(hAPP_nat_int(semiri1621563631at_int,N_29)) = hAPP_nat_int(semiri1621563631at_int,N_29) ). % 1.78/1.92 % 1.78/1.92 fof(fact_132_number__of__int,axiom, % 1.78/1.92 ! [N_29] : number267125858f_real(hAPP_nat_int(semiri1621563631at_int,N_29)) = hAPP_nat_real(semiri132038758t_real,N_29) ). % 1.78/1.92 % 1.78/1.92 fof(fact_133_zero__less__power2,axiom, % 1.78/1.92 ! [A_24] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls)))))) % 1.78/1.92 <=> A_24 != zero_zero_int ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_134_zero__less__power2,axiom, % 1.78/1.92 ! [A_24] : % 1.78/1.92 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_24),number_number_of_nat(bit0(bit1(pls)))))) % 1.78/1.92 <=> A_24 != zero_zero_real ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_135_power2__less__0,axiom, % 1.78/1.92 ! [A_66] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_66),number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_136_power2__less__0,axiom, % 1.78/1.92 ! [A_66] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_66),number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_137_sum__power2__gt__zero__iff,axiom, % 1.78/1.92 ! [Xa,Ya] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls))))))) % 1.78/1.92 <=> ( Xa != zero_zero_int % 1.78/1.92 | Ya != zero_zero_int ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_138_sum__power2__gt__zero__iff,axiom, % 1.78/1.92 ! [Xa,Ya] : % 1.78/1.92 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls))))))) % 1.78/1.92 <=> ( Xa != zero_zero_real % 1.78/1.92 | Ya != zero_zero_real ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_139_not__sum__power2__lt__zero,axiom, % 1.78/1.92 ! [X_16,Y_13] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X_16),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_13),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_140_not__sum__power2__lt__zero,axiom, % 1.78/1.92 ! [X_16,Y_13] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_16),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_13),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_141_number__of__Bit0,axiom, % 1.78/1.92 ! [W_3] : number_number_of_int(bit0(W_3)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(zero_zero_int),number_number_of_int(W_3))),number_number_of_int(W_3)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_142_number__of__Bit0,axiom, % 1.78/1.92 ! [W_3] : number267125858f_real(bit0(W_3)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(zero_zero_real),number267125858f_real(W_3))),number267125858f_real(W_3)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_143_number__of__Bit1,axiom, % 1.78/1.92 ! [W_2] : number_number_of_int(bit1(W_2)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_2))),number_number_of_int(W_2)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_144_number__of__Bit1,axiom, % 1.78/1.92 ! [W_2] : number267125858f_real(bit1(W_2)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(W_2))),number267125858f_real(W_2)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_145_semiring__numeral__1__eq__1,axiom, % 1.78/1.92 number_number_of_int(bit1(pls)) = one_one_int ). % 1.78/1.92 % 1.78/1.92 fof(fact_146_semiring__numeral__1__eq__1,axiom, % 1.78/1.92 number_number_of_nat(bit1(pls)) = one_one_nat ). % 1.78/1.92 % 1.78/1.92 fof(fact_147_semiring__numeral__1__eq__1,axiom, % 1.78/1.92 number267125858f_real(bit1(pls)) = one_one_real ). % 1.78/1.92 % 1.78/1.92 fof(fact_148_mn,axiom, % 1.78/1.92 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,m1),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))) ). % 1.78/1.92 % 1.78/1.92 fof(fact_149_of__nat__less__two__power,axiom, % 1.78/1.92 ! [N_28] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,N_28)),hAPP_nat_int(power_power_int(number_number_of_int(bit0(bit1(pls)))),N_28))) ). % 1.78/1.92 % 1.78/1.92 fof(fact_150_of__nat__less__two__power,axiom, % 1.78/1.92 ! [N_28] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,N_28)),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),N_28))) ). % 1.78/1.92 % 1.78/1.92 fof(fact_151_transfer__int__nat__numerals_I3_J,axiom, % 1.78/1.92 number_number_of_int(bit0(bit1(pls))) = hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit0(bit1(pls)))) ). % 1.78/1.92 % 1.78/1.92 fof(fact_152_transfer__int__nat__numerals_I4_J,axiom, % 1.78/1.92 number_number_of_int(bit1(bit1(pls))) = hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit1(bit1(pls)))) ). % 1.78/1.92 % 1.78/1.92 fof(fact_153_realpow__two__sum__zero__iff,axiom, % 1.78/1.92 ! [Xa,Ya] : % 1.78/1.92 ( hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls))))) = zero_zero_real % 1.78/1.92 <=> ( Xa = zero_zero_real % 1.78/1.92 & Ya = zero_zero_real ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_154_of__nat__0__less__iff,axiom, % 1.78/1.92 ! [Na] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na))) % 1.78/1.92 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_155_of__nat__0__less__iff,axiom, % 1.78/1.92 ! [Na] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,Na))) % 1.78/1.92 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_156_of__nat__0__less__iff,axiom, % 1.78/1.92 ! [Na] : % 1.78/1.92 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,Na))) % 1.78/1.92 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_157_one__less__power,axiom, % 1.78/1.92 ! [N_27,A_65] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_65)) % 1.78/1.92 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_27)) % 1.78/1.92 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(power_power_int(A_65),N_27))) ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_158_one__less__power,axiom, % 1.78/1.92 ! [N_27,A_65] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_65)) % 1.78/1.92 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_27)) % 1.78/1.92 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(power_power_nat(A_65),N_27))) ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_159_one__less__power,axiom, % 1.78/1.92 ! [N_27,A_65] : % 1.78/1.92 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_65)) % 1.78/1.92 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_27)) % 1.78/1.92 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(power_power_real(A_65),N_27))) ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_160_power__0__left,axiom, % 1.78/1.92 ! [N_26] : % 1.78/1.92 ( ( N_26 = zero_zero_nat % 1.78/1.92 => hAPP_nat_int(power_power_int(zero_zero_int),N_26) = one_one_int ) % 1.78/1.92 & ( N_26 != zero_zero_nat % 1.78/1.92 => hAPP_nat_int(power_power_int(zero_zero_int),N_26) = zero_zero_int ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_161_power__0__left,axiom, % 1.78/1.92 ! [N_26] : % 1.78/1.92 ( ( N_26 = zero_zero_nat % 1.78/1.92 => hAPP_nat_nat(power_power_nat(zero_zero_nat),N_26) = one_one_nat ) % 1.78/1.92 & ( N_26 != zero_zero_nat % 1.78/1.92 => hAPP_nat_nat(power_power_nat(zero_zero_nat),N_26) = zero_zero_nat ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_162_power__0__left,axiom, % 1.78/1.92 ! [N_26] : % 1.78/1.92 ( ( N_26 = zero_zero_nat % 1.78/1.92 => hAPP_nat_real(power_power_real(zero_zero_real),N_26) = one_one_real ) % 1.78/1.92 & ( N_26 != zero_zero_nat % 1.78/1.92 => hAPP_nat_real(power_power_real(zero_zero_real),N_26) = zero_zero_real ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_163_power__strict__decreasing,axiom, % 1.78/1.92 ! [A_64,N_25,N_24] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_25),N_24)) % 1.78/1.92 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_64)) % 1.78/1.92 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_64),one_one_int)) % 1.78/1.92 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_64),N_24)),hAPP_nat_int(power_power_int(A_64),N_25))) ) ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_164_power__strict__decreasing,axiom, % 1.78/1.92 ! [A_64,N_25,N_24] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_25),N_24)) % 1.78/1.92 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_64)) % 1.78/1.92 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_64),one_one_nat)) % 1.78/1.92 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_64),N_24)),hAPP_nat_nat(power_power_nat(A_64),N_25))) ) ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_165_power__strict__decreasing,axiom, % 1.78/1.92 ! [A_64,N_25,N_24] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_25),N_24)) % 1.78/1.92 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_64)) % 1.78/1.92 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_64),one_one_real)) % 1.78/1.92 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_64),N_24)),hAPP_nat_real(power_power_real(A_64),N_25))) ) ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_166_zero__less__two,axiom, % 1.78/1.92 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))) ). % 1.78/1.92 % 1.78/1.92 fof(fact_167_zero__less__two,axiom, % 1.78/1.92 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))) ). % 1.78/1.92 % 1.78/1.92 fof(fact_168_zero__less__two,axiom, % 1.78/1.92 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(one_one_real),one_one_real))) ). % 1.78/1.92 % 1.78/1.92 fof(fact_169_int__gr__induct,axiom, % 1.78/1.92 ! [P_1,K_2,I] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),I)) % 1.78/1.92 => ( hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(K_2),one_one_int))) % 1.78/1.92 => ( ! [I_1] : % 1.78/1.92 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),I_1)) % 1.78/1.92 => ( hBOOL(hAPP_int_bool(P_1,I_1)) % 1.78/1.92 => hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(I_1),one_one_int))) ) ) % 1.78/1.92 => hBOOL(hAPP_int_bool(P_1,I)) ) ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_170_tn0,axiom, % 1.78/1.92 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),tn)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_171_less__zeroE,axiom, % 1.78/1.92 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_172_real__zero__not__eq__one,axiom, % 1.78/1.92 zero_zero_real != one_one_real ). % 1.78/1.92 % 1.78/1.92 fof(fact_173_less__not__refl,axiom, % 1.78/1.92 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_174_not__add__less1,axiom, % 1.78/1.92 ! [I_2,J_2] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_2),J_2)),I_2)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_175_not__add__less2,axiom, % 1.78/1.92 ! [J_2,I_2] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(J_2),I_2)),I_2)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_176_number__of__is__id,axiom, % 1.78/1.92 ! [K] : number_number_of_int(K) = K ). % 1.78/1.92 % 1.78/1.92 fof(fact_177_nat__neq__iff,axiom, % 1.78/1.92 ! [Ma,Na] : % 1.78/1.92 ( Ma != Na % 1.78/1.92 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) % 1.78/1.92 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma)) ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_178_nat__add__commute,axiom, % 1.78/1.92 ! [M_1,N_1] : hAPP_nat_nat(plus_plus_nat(M_1),N_1) = hAPP_nat_nat(plus_plus_nat(N_1),M_1) ). % 1.78/1.92 % 1.78/1.92 fof(fact_179_nat__add__left__commute,axiom, % 1.78/1.92 ! [X,Y,Z_2] : hAPP_nat_nat(plus_plus_nat(X),hAPP_nat_nat(plus_plus_nat(Y),Z_2)) = hAPP_nat_nat(plus_plus_nat(Y),hAPP_nat_nat(plus_plus_nat(X),Z_2)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_180_nat__add__assoc,axiom, % 1.78/1.92 ! [M_1,N_1,K] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(M_1),N_1)),K) = hAPP_nat_nat(plus_plus_nat(M_1),hAPP_nat_nat(plus_plus_nat(N_1),K)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_181_nat__add__left__cancel,axiom, % 1.78/1.92 ! [K_2,Ma,Na] : % 1.78/1.92 ( hAPP_nat_nat(plus_plus_nat(K_2),Ma) = hAPP_nat_nat(plus_plus_nat(K_2),Na) % 1.78/1.92 <=> Ma = Na ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_182_nat__add__right__cancel,axiom, % 1.78/1.92 ! [Ma,K_2,Na] : % 1.78/1.92 ( hAPP_nat_nat(plus_plus_nat(Ma),K_2) = hAPP_nat_nat(plus_plus_nat(Na),K_2) % 1.78/1.92 <=> Ma = Na ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_183_nat__add__left__cancel__less,axiom, % 1.78/1.92 ! [K_2,Ma,Na] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(K_2),Ma)),hAPP_nat_nat(plus_plus_nat(K_2),Na))) % 1.78/1.92 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_184_linorder__neqE__nat,axiom, % 1.78/1.92 ! [X,Y] : % 1.78/1.92 ( X != Y % 1.78/1.92 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y)) % 1.78/1.92 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X)) ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_185_less__irrefl__nat,axiom, % 1.78/1.92 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1)) ). % 1.78/1.92 % 1.78/1.92 fof(fact_186_less__not__refl2,axiom, % 1.78/1.92 ! [N_1,M_1] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1)) % 1.78/1.92 => M_1 != N_1 ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_187_less__not__refl3,axiom, % 1.78/1.92 ! [S,T] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T)) % 1.78/1.92 => S != T ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_188_trans__less__add1,axiom, % 1.78/1.92 ! [M_1,I_2,J_2] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2)) % 1.78/1.92 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),hAPP_nat_nat(plus_plus_nat(J_2),M_1))) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_189_trans__less__add2,axiom, % 1.78/1.92 ! [M_1,I_2,J_2] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2)) % 1.78/1.92 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),hAPP_nat_nat(plus_plus_nat(M_1),J_2))) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_190_add__less__mono1,axiom, % 1.78/1.92 ! [K,I_2,J_2] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2)) % 1.78/1.92 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_2),K)),hAPP_nat_nat(plus_plus_nat(J_2),K))) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_191_add__less__mono,axiom, % 1.78/1.92 ! [K,L,I_2,J_2] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2)) % 1.78/1.92 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L)) % 1.78/1.92 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_2),K)),hAPP_nat_nat(plus_plus_nat(J_2),L))) ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_192_less__add__eq__less,axiom, % 1.78/1.92 ! [M_1,N_1,K,L] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L)) % 1.78/1.92 => ( hAPP_nat_nat(plus_plus_nat(M_1),L) = hAPP_nat_nat(plus_plus_nat(K),N_1) % 1.78/1.92 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)) ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_193_add__lessD1,axiom, % 1.78/1.92 ! [I_2,J_2,K] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_2),J_2)),K)) % 1.78/1.92 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),K)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_194_nat__less__cases,axiom, % 1.78/1.92 ! [P_1,Ma,Na] : % 1.78/1.92 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) % 1.78/1.92 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)) ) % 1.78/1.92 => ( ( Ma = Na % 1.78/1.92 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)) ) % 1.78/1.92 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma)) % 1.78/1.92 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)) ) % 1.78/1.92 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)) ) ) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_195_gr0I,axiom, % 1.78/1.92 ! [N_1] : % 1.78/1.92 ( N_1 != zero_zero_nat % 1.78/1.92 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_196_gr__implies__not0,axiom, % 1.78/1.92 ! [M_1,N_1] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)) % 1.78/1.92 => N_1 != zero_zero_nat ) ). % 1.78/1.92 % 1.78/1.92 fof(fact_197_nat__power__less__imp__less,axiom, % 1.78/1.92 ! [M_1,N_1,I_2] : % 1.78/1.92 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),I_2)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(I_2),M_1)),hAPP_nat_nat(power_power_nat(I_2),N_1))) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_198_less__nat__zero__code,axiom, % 1.78/1.93 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_199_nat__zero__less__power__iff,axiom, % 1.78/1.93 ! [Xa,Na] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na))) % 1.78/1.93 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)) % 1.78/1.93 | Na = zero_zero_nat ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_200_add__gr__0,axiom, % 1.78/1.93 ! [Ma,Na] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(Ma),Na))) % 1.78/1.93 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma)) % 1.78/1.93 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_201_neq0__conv,axiom, % 1.78/1.93 ! [Na] : % 1.78/1.93 ( Na != zero_zero_nat % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_202_not__less0,axiom, % 1.78/1.93 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_203_zero__less__power__nat__eq,axiom, % 1.78/1.93 ! [Xa,Na] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na))) % 1.78/1.93 <=> ( Na = zero_zero_nat % 1.78/1.93 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_204_Nat__Transfer_Otransfer__int__nat__relations_I2_J,axiom, % 1.78/1.93 ! [Xa,Ya] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_205_zero__less__power__nat__eq__number__of,axiom, % 1.78/1.93 ! [Xa,Wa] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),number_number_of_nat(Wa)))) % 1.78/1.93 <=> ( number_number_of_nat(Wa) = zero_zero_nat % 1.78/1.93 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_206_zless__int,axiom, % 1.78/1.93 ! [Ma,Na] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_207_less__nat__number__of,axiom, % 1.78/1.93 ! [Va,V] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(Va)),number_number_of_nat(V))) % 1.78/1.93 <=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V)) ) % 1.78/1.93 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_208_linorder__neqE__linordered__idom,axiom, % 1.78/1.93 ! [X_15,Y_12] : % 1.78/1.93 ( X_15 != Y_12 % 1.78/1.93 => ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_15),Y_12)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_12),X_15)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_209_linorder__neqE__linordered__idom,axiom, % 1.78/1.93 ! [X_15,Y_12] : % 1.78/1.93 ( X_15 != Y_12 % 1.78/1.93 => ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_15),Y_12)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_12),X_15)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_210_add__eq__self__zero,axiom, % 1.78/1.93 ! [M_1,N_1] : % 1.78/1.93 ( hAPP_nat_nat(plus_plus_nat(M_1),N_1) = M_1 % 1.78/1.93 => N_1 = zero_zero_nat ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_211_add__is__0,axiom, % 1.78/1.93 ! [Ma,Na] : % 1.78/1.93 ( hAPP_nat_nat(plus_plus_nat(Ma),Na) = zero_zero_nat % 1.78/1.93 <=> ( Ma = zero_zero_nat % 1.78/1.93 & Na = zero_zero_nat ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_212_Nat_Oadd__0__right,axiom, % 1.78/1.93 ! [M_1] : hAPP_nat_nat(plus_plus_nat(M_1),zero_zero_nat) = M_1 ). % 1.78/1.93 % 1.78/1.93 fof(fact_213_plus__nat_Oadd__0,axiom, % 1.78/1.93 ! [N_1] : hAPP_nat_nat(plus_plus_nat(zero_zero_nat),N_1) = N_1 ). % 1.78/1.93 % 1.78/1.93 fof(fact_214_power__one__right,axiom, % 1.78/1.93 ! [A_63] : hAPP_nat_real(power_power_real(A_63),one_one_nat) = A_63 ). % 1.78/1.93 % 1.78/1.93 fof(fact_215_power__one__right,axiom, % 1.78/1.93 ! [A_63] : hAPP_nat_nat(power_power_nat(A_63),one_one_nat) = A_63 ). % 1.78/1.93 % 1.78/1.93 fof(fact_216_power__one__right,axiom, % 1.78/1.93 ! [A_63] : hAPP_nat_int(power_power_int(A_63),one_one_nat) = A_63 ). % 1.78/1.93 % 1.78/1.93 fof(fact_217_of__nat__eq__iff,axiom, % 1.78/1.93 ! [Ma,Na] : % 1.78/1.93 ( hAPP_nat_real(semiri132038758t_real,Ma) = hAPP_nat_real(semiri132038758t_real,Na) % 1.78/1.93 <=> Ma = Na ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_218_of__nat__eq__iff,axiom, % 1.78/1.93 ! [Ma,Na] : % 1.78/1.93 ( hAPP_nat_nat(semiri984289939at_nat,Ma) = hAPP_nat_nat(semiri984289939at_nat,Na) % 1.78/1.93 <=> Ma = Na ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_219_of__nat__eq__iff,axiom, % 1.78/1.93 ! [Ma,Na] : % 1.78/1.93 ( hAPP_nat_int(semiri1621563631at_int,Ma) = hAPP_nat_int(semiri1621563631at_int,Na) % 1.78/1.93 <=> Ma = Na ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_220_Nat__Transfer_Otransfer__int__nat__relations_I1_J,axiom, % 1.78/1.93 ! [Xa,Ya] : % 1.78/1.93 ( hAPP_nat_int(semiri1621563631at_int,Xa) = hAPP_nat_int(semiri1621563631at_int,Ya) % 1.78/1.93 <=> Xa = Ya ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_221_int__if__cong,axiom, % 1.78/1.93 ! [Xa,Ya,P_1] : % 1.78/1.93 ( ( hBOOL(P_1) % 1.78/1.93 => hAPP_nat_int(semiri1621563631at_int,Xa) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(if_nat(P_1,Xa),Ya)) ) % 1.78/1.93 & ( ~ hBOOL(P_1) % 1.78/1.93 => hAPP_nat_int(semiri1621563631at_int,Ya) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(if_nat(P_1,Xa),Ya)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_222_less__0__number__of,axiom, % 1.78/1.93 ! [Va] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(Va))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Va)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_223_zero__less__int__conv,axiom, % 1.78/1.93 ! [Na] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_224_one__neq__zero,axiom, % 1.78/1.93 one_one_real != zero_zero_real ). % 1.78/1.93 % 1.78/1.93 fof(fact_225_one__neq__zero,axiom, % 1.78/1.93 one_one_nat != zero_zero_nat ). % 1.78/1.93 % 1.78/1.93 fof(fact_226_one__neq__zero,axiom, % 1.78/1.93 one_one_int != zero_zero_int ). % 1.78/1.93 % 1.78/1.93 fof(fact_227_zero__neq__one,axiom, % 1.78/1.93 zero_zero_real != one_one_real ). % 1.78/1.93 % 1.78/1.93 fof(fact_228_zero__neq__one,axiom, % 1.78/1.93 zero_zero_nat != one_one_nat ). % 1.78/1.93 % 1.78/1.93 fof(fact_229_zero__neq__one,axiom, % 1.78/1.93 zero_zero_int != one_one_int ). % 1.78/1.93 % 1.78/1.93 fof(fact_230_field__power__not__zero,axiom, % 1.78/1.93 ! [N_23,A_62] : % 1.78/1.93 ( A_62 != zero_zero_real % 1.78/1.93 => hAPP_nat_real(power_power_real(A_62),N_23) != zero_zero_real ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_231_field__power__not__zero,axiom, % 1.78/1.93 ! [N_23,A_62] : % 1.78/1.93 ( A_62 != zero_zero_int % 1.78/1.93 => hAPP_nat_int(power_power_int(A_62),N_23) != zero_zero_int ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_232_power__one,axiom, % 1.78/1.93 ! [N_22] : hAPP_nat_real(power_power_real(one_one_real),N_22) = one_one_real ). % 1.78/1.93 % 1.78/1.93 fof(fact_233_power__one,axiom, % 1.78/1.93 ! [N_22] : hAPP_nat_nat(power_power_nat(one_one_nat),N_22) = one_one_nat ). % 1.78/1.93 % 1.78/1.93 fof(fact_234_power__one,axiom, % 1.78/1.93 ! [N_22] : hAPP_nat_int(power_power_int(one_one_int),N_22) = one_one_int ). % 1.78/1.93 % 1.78/1.93 fof(fact_235_of__nat__less__iff,axiom, % 1.78/1.93 ! [Ma,Na] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_236_of__nat__less__iff,axiom, % 1.78/1.93 ! [Ma,Na] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_237_of__nat__less__iff,axiom, % 1.78/1.93 ! [Ma,Na] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_238_less__imp__of__nat__less,axiom, % 1.78/1.93 ! [M_9,N_21] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_21)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_9)),hAPP_nat_real(semiri132038758t_real,N_21))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_239_less__imp__of__nat__less,axiom, % 1.78/1.93 ! [M_9,N_21] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_21)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_9)),hAPP_nat_nat(semiri984289939at_nat,N_21))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_240_less__imp__of__nat__less,axiom, % 1.78/1.93 ! [M_9,N_21] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_21)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_9)),hAPP_nat_int(semiri1621563631at_int,N_21))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_241_of__nat__less__imp__less,axiom, % 1.78/1.93 ! [M_8,N_20] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_8)),hAPP_nat_real(semiri132038758t_real,N_20))) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_8),N_20)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_242_of__nat__less__imp__less,axiom, % 1.78/1.93 ! [M_8,N_20] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_8)),hAPP_nat_nat(semiri984289939at_nat,N_20))) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_8),N_20)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_243_of__nat__less__imp__less,axiom, % 1.78/1.93 ! [M_8,N_20] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_8)),hAPP_nat_int(semiri1621563631at_int,N_20))) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_8),N_20)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_244_of__nat__add,axiom, % 1.78/1.93 ! [M_7,N_19] : hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(plus_plus_nat(M_7),N_19)) = hAPP_real_real(plus_plus_real(hAPP_nat_real(semiri132038758t_real,M_7)),hAPP_nat_real(semiri132038758t_real,N_19)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_245_of__nat__add,axiom, % 1.78/1.93 ! [M_7,N_19] : hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(plus_plus_nat(M_7),N_19)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(semiri984289939at_nat,M_7)),hAPP_nat_nat(semiri984289939at_nat,N_19)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_246_of__nat__add,axiom, % 1.78/1.93 ! [M_7,N_19] : hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(M_7),N_19)) = hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M_7)),hAPP_nat_int(semiri1621563631at_int,N_19)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_247_of__nat__1,axiom, % 1.78/1.93 hAPP_nat_real(semiri132038758t_real,one_one_nat) = one_one_real ). % 1.78/1.93 % 1.78/1.93 fof(fact_248_of__nat__1,axiom, % 1.78/1.93 hAPP_nat_nat(semiri984289939at_nat,one_one_nat) = one_one_nat ). % 1.78/1.93 % 1.78/1.93 fof(fact_249_of__nat__1,axiom, % 1.78/1.93 hAPP_nat_int(semiri1621563631at_int,one_one_nat) = one_one_int ). % 1.78/1.93 % 1.78/1.93 fof(fact_250_of__nat__power,axiom, % 1.78/1.93 ! [M_6,N_18] : hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(power_power_nat(M_6),N_18)) = hAPP_nat_real(power_power_real(hAPP_nat_real(semiri132038758t_real,M_6)),N_18) ). % 1.78/1.93 % 1.78/1.93 fof(fact_251_of__nat__power,axiom, % 1.78/1.93 ! [M_6,N_18] : hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(power_power_nat(M_6),N_18)) = hAPP_nat_nat(power_power_nat(hAPP_nat_nat(semiri984289939at_nat,M_6)),N_18) ). % 1.78/1.93 % 1.78/1.93 fof(fact_252_of__nat__power,axiom, % 1.78/1.93 ! [M_6,N_18] : hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M_6),N_18)) = hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M_6)),N_18) ). % 1.78/1.93 % 1.78/1.93 fof(fact_253_transfer__int__nat__numerals_I2_J,axiom, % 1.78/1.93 one_one_int = hAPP_nat_int(semiri1621563631at_int,one_one_nat) ). % 1.78/1.93 % 1.78/1.93 fof(fact_254_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 1.78/1.93 ! [X,Y] : hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y)) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(X),Y)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_255_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 1.78/1.93 ! [X,N_1] : hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,X)),N_1) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(X),N_1)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_256_pos__add__strict,axiom, % 1.78/1.93 ! [B_41,C_31,A_61] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_61)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_41),C_31)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_41),hAPP_real_real(plus_plus_real(A_61),C_31))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_257_pos__add__strict,axiom, % 1.78/1.93 ! [B_41,C_31,A_61] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_61)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_41),C_31)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_41),hAPP_nat_nat(plus_plus_nat(A_61),C_31))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_258_pos__add__strict,axiom, % 1.78/1.93 ! [B_41,C_31,A_61] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_61)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_41),C_31)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_41),hAPP_int_int(plus_plus_int(A_61),C_31))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_259_not__one__less__zero,axiom, % 1.78/1.93 ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),zero_zero_real)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_260_not__one__less__zero,axiom, % 1.78/1.93 ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_261_not__one__less__zero,axiom, % 1.78/1.93 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_262_zero__less__one,axiom, % 1.78/1.93 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),one_one_real)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_263_zero__less__one,axiom, % 1.78/1.93 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_264_zero__less__one,axiom, % 1.78/1.93 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_265_zero__less__power,axiom, % 1.78/1.93 ! [N_17,A_60] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_60)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_60),N_17))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_266_zero__less__power,axiom, % 1.78/1.93 ! [N_17,A_60] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_60)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A_60),N_17))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_267_zero__less__power,axiom, % 1.78/1.93 ! [N_17,A_60] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_60)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_60),N_17))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_268_less__add__one,axiom, % 1.78/1.93 ! [A_59] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_59),hAPP_real_real(plus_plus_real(A_59),one_one_real))) ). % 1.78/1.93 % 1.78/1.93 fof(fact_269_less__add__one,axiom, % 1.78/1.93 ! [A_59] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_59),hAPP_nat_nat(plus_plus_nat(A_59),one_one_nat))) ). % 1.78/1.93 % 1.78/1.93 fof(fact_270_less__add__one,axiom, % 1.78/1.93 ! [A_59] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_59),hAPP_int_int(plus_plus_int(A_59),one_one_int))) ). % 1.78/1.93 % 1.78/1.93 fof(fact_271_power__inject__exp,axiom, % 1.78/1.93 ! [Ma,Na,A_24] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_24)) % 1.78/1.93 => ( hAPP_nat_real(power_power_real(A_24),Ma) = hAPP_nat_real(power_power_real(A_24),Na) % 1.78/1.93 <=> Ma = Na ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_272_power__inject__exp,axiom, % 1.78/1.93 ! [Ma,Na,A_24] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_24)) % 1.78/1.93 => ( hAPP_nat_nat(power_power_nat(A_24),Ma) = hAPP_nat_nat(power_power_nat(A_24),Na) % 1.78/1.93 <=> Ma = Na ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_273_power__inject__exp,axiom, % 1.78/1.93 ! [Ma,Na,A_24] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_24)) % 1.78/1.93 => ( hAPP_nat_int(power_power_int(A_24),Ma) = hAPP_nat_int(power_power_int(A_24),Na) % 1.78/1.93 <=> Ma = Na ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_274_power__strict__increasing__iff,axiom, % 1.78/1.93 ! [Xa,Ya,B_21] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B_21)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(B_21),Xa)),hAPP_nat_real(power_power_real(B_21),Ya))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_275_power__strict__increasing__iff,axiom, % 1.78/1.93 ! [Xa,Ya,B_21] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B_21)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(B_21),Xa)),hAPP_nat_nat(power_power_nat(B_21),Ya))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_276_power__strict__increasing__iff,axiom, % 1.78/1.93 ! [Xa,Ya,B_21] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_21)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(B_21),Xa)),hAPP_nat_int(power_power_int(B_21),Ya))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_277_power__less__imp__less__exp,axiom, % 1.78/1.93 ! [M_5,N_16,A_58] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_58)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_58),M_5)),hAPP_nat_real(power_power_real(A_58),N_16))) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_5),N_16)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_278_power__less__imp__less__exp,axiom, % 1.78/1.93 ! [M_5,N_16,A_58] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_58)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_58),M_5)),hAPP_nat_nat(power_power_nat(A_58),N_16))) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_5),N_16)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_279_power__less__imp__less__exp,axiom, % 1.78/1.93 ! [M_5,N_16,A_58] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_58)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_58),M_5)),hAPP_nat_int(power_power_int(A_58),N_16))) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_5),N_16)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_280_power__strict__increasing,axiom, % 1.78/1.93 ! [A_57,N_15,N_14] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_15),N_14)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_57)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_57),N_15)),hAPP_nat_real(power_power_real(A_57),N_14))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_281_power__strict__increasing,axiom, % 1.78/1.93 ! [A_57,N_15,N_14] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_15),N_14)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_57)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_57),N_15)),hAPP_nat_nat(power_power_nat(A_57),N_14))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_282_power__strict__increasing,axiom, % 1.78/1.93 ! [A_57,N_15,N_14] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_15),N_14)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_57)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_57),N_15)),hAPP_nat_int(power_power_int(A_57),N_14))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_283_power__eq__0__iff,axiom, % 1.78/1.93 ! [A_24,Na] : % 1.78/1.93 ( hAPP_nat_real(power_power_real(A_24),Na) = zero_zero_real % 1.78/1.93 <=> ( A_24 = zero_zero_real % 1.78/1.93 & Na != zero_zero_nat ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_284_power__eq__0__iff,axiom, % 1.78/1.93 ! [A_24,Na] : % 1.78/1.93 ( hAPP_nat_nat(power_power_nat(A_24),Na) = zero_zero_nat % 1.78/1.93 <=> ( A_24 = zero_zero_nat % 1.78/1.93 & Na != zero_zero_nat ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_285_power__eq__0__iff,axiom, % 1.78/1.93 ! [A_24,Na] : % 1.78/1.93 ( hAPP_nat_int(power_power_int(A_24),Na) = zero_zero_int % 1.78/1.93 <=> ( A_24 = zero_zero_int % 1.78/1.93 & Na != zero_zero_nat ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_286_of__nat__less__0__iff,axiom, % 1.78/1.93 ! [M_4] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_4)),zero_zero_real)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_287_of__nat__less__0__iff,axiom, % 1.78/1.93 ! [M_4] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_4)),zero_zero_nat)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_288_of__nat__less__0__iff,axiom, % 1.78/1.93 ! [M_4] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_4)),zero_zero_int)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_289_power__0,axiom, % 1.78/1.93 ! [A_56] : hAPP_nat_real(power_power_real(A_56),zero_zero_nat) = one_one_real ). % 1.78/1.93 % 1.78/1.93 fof(fact_290_power__0,axiom, % 1.78/1.93 ! [A_56] : hAPP_nat_nat(power_power_nat(A_56),zero_zero_nat) = one_one_nat ). % 1.78/1.93 % 1.78/1.93 fof(fact_291_power__0,axiom, % 1.78/1.93 ! [A_56] : hAPP_nat_int(power_power_int(A_56),zero_zero_nat) = one_one_int ). % 1.78/1.93 % 1.78/1.93 fof(fact_292_of__nat__0,axiom, % 1.78/1.93 hAPP_nat_real(semiri132038758t_real,zero_zero_nat) = zero_zero_real ). % 1.78/1.93 % 1.78/1.93 fof(fact_293_of__nat__0,axiom, % 1.78/1.93 hAPP_nat_nat(semiri984289939at_nat,zero_zero_nat) = zero_zero_nat ). % 1.78/1.93 % 1.78/1.93 fof(fact_294_of__nat__0,axiom, % 1.78/1.93 hAPP_nat_int(semiri1621563631at_int,zero_zero_nat) = zero_zero_int ). % 1.78/1.93 % 1.78/1.93 fof(fact_295_transfer__int__nat__numerals_I1_J,axiom, % 1.78/1.93 zero_zero_int = hAPP_nat_int(semiri1621563631at_int,zero_zero_nat) ). % 1.78/1.93 % 1.78/1.93 fof(fact_296_pos2,axiom, % 1.78/1.93 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))) ). % 1.78/1.93 % 1.78/1.93 fof(fact_297_zero__less__imp__eq__int,axiom, % 1.78/1.93 ! [K] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K)) % 1.78/1.93 => ? [N] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)) % 1.78/1.93 & K = hAPP_nat_int(semiri1621563631at_int,N) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_298_less__imp__add__positive,axiom, % 1.78/1.93 ! [I_2,J_2] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2)) % 1.78/1.93 => ? [K_1] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)) % 1.78/1.93 & hAPP_nat_nat(plus_plus_nat(I_2),K_1) = J_2 ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_299_exp__eq__1,axiom, % 1.78/1.93 ! [Xa,Na] : % 1.78/1.93 ( hAPP_nat_nat(power_power_nat(Xa),Na) = one_one_nat % 1.78/1.93 <=> ( Xa = one_one_nat % 1.78/1.93 | Na = zero_zero_nat ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_300_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 1.78/1.93 ! [X_14] : hAPP_nat_real(power_power_real(X_14),zero_zero_nat) = one_one_real ). % 1.78/1.93 % 1.78/1.93 fof(fact_301_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 1.78/1.93 ! [X_14] : hAPP_nat_nat(power_power_nat(X_14),zero_zero_nat) = one_one_nat ). % 1.78/1.93 % 1.78/1.93 fof(fact_302_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 1.78/1.93 ! [X_14] : hAPP_nat_int(power_power_int(X_14),zero_zero_nat) = one_one_int ). % 1.78/1.93 % 1.78/1.93 fof(fact_303_zero__less__double__add__iff__zero__less__single__add,axiom, % 1.78/1.93 ! [A_24] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_24),A_24))) % 1.78/1.93 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_24)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_304_zero__less__double__add__iff__zero__less__single__add,axiom, % 1.78/1.93 ! [A_24] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_24),A_24))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_24)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_305_double__add__less__zero__iff__single__add__less__zero,axiom, % 1.78/1.93 ! [A_24] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_24),A_24)),zero_zero_real)) % 1.78/1.93 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),zero_zero_real)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_306_double__add__less__zero__iff__single__add__less__zero,axiom, % 1.78/1.93 ! [A_24] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_24),A_24)),zero_zero_int)) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),zero_zero_int)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_307_zero__reorient,axiom, % 1.78/1.93 ! [Xa] : % 1.78/1.93 ( zero_zero_real = Xa % 1.78/1.93 <=> Xa = zero_zero_real ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_308_zero__reorient,axiom, % 1.78/1.93 ! [Xa] : % 1.78/1.93 ( zero_zero_nat = Xa % 1.78/1.93 <=> Xa = zero_zero_nat ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_309_zero__reorient,axiom, % 1.78/1.93 ! [Xa] : % 1.78/1.93 ( zero_zero_int = Xa % 1.78/1.93 <=> Xa = zero_zero_int ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_310_add__right__imp__eq,axiom, % 1.78/1.93 ! [B_40,A_55,C_30] : % 1.78/1.93 ( hAPP_real_real(plus_plus_real(B_40),A_55) = hAPP_real_real(plus_plus_real(C_30),A_55) % 1.78/1.93 => B_40 = C_30 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_311_add__right__imp__eq,axiom, % 1.78/1.93 ! [B_40,A_55,C_30] : % 1.78/1.93 ( hAPP_nat_nat(plus_plus_nat(B_40),A_55) = hAPP_nat_nat(plus_plus_nat(C_30),A_55) % 1.78/1.93 => B_40 = C_30 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_312_add__right__imp__eq,axiom, % 1.78/1.93 ! [B_40,A_55,C_30] : % 1.78/1.93 ( hAPP_int_int(plus_plus_int(B_40),A_55) = hAPP_int_int(plus_plus_int(C_30),A_55) % 1.78/1.93 => B_40 = C_30 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_313_add__imp__eq,axiom, % 1.78/1.93 ! [A_54,B_39,C_29] : % 1.78/1.93 ( hAPP_real_real(plus_plus_real(A_54),B_39) = hAPP_real_real(plus_plus_real(A_54),C_29) % 1.78/1.93 => B_39 = C_29 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_314_add__imp__eq,axiom, % 1.78/1.93 ! [A_54,B_39,C_29] : % 1.78/1.93 ( hAPP_nat_nat(plus_plus_nat(A_54),B_39) = hAPP_nat_nat(plus_plus_nat(A_54),C_29) % 1.78/1.93 => B_39 = C_29 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_315_add__imp__eq,axiom, % 1.78/1.93 ! [A_54,B_39,C_29] : % 1.78/1.93 ( hAPP_int_int(plus_plus_int(A_54),B_39) = hAPP_int_int(plus_plus_int(A_54),C_29) % 1.78/1.93 => B_39 = C_29 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_316_add__left__imp__eq,axiom, % 1.78/1.93 ! [A_53,B_38,C_28] : % 1.78/1.93 ( hAPP_real_real(plus_plus_real(A_53),B_38) = hAPP_real_real(plus_plus_real(A_53),C_28) % 1.78/1.93 => B_38 = C_28 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_317_add__left__imp__eq,axiom, % 1.78/1.93 ! [A_53,B_38,C_28] : % 1.78/1.93 ( hAPP_nat_nat(plus_plus_nat(A_53),B_38) = hAPP_nat_nat(plus_plus_nat(A_53),C_28) % 1.78/1.93 => B_38 = C_28 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_318_add__left__imp__eq,axiom, % 1.78/1.93 ! [A_53,B_38,C_28] : % 1.78/1.93 ( hAPP_int_int(plus_plus_int(A_53),B_38) = hAPP_int_int(plus_plus_int(A_53),C_28) % 1.78/1.93 => B_38 = C_28 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_319_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 1.78/1.93 ! [A_52,B_37,C_27,D_6] : hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_52),B_37)),hAPP_real_real(plus_plus_real(C_27),D_6)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_52),C_27)),hAPP_real_real(plus_plus_real(B_37),D_6)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_320_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 1.78/1.93 ! [A_52,B_37,C_27,D_6] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_52),B_37)),hAPP_nat_nat(plus_plus_nat(C_27),D_6)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_52),C_27)),hAPP_nat_nat(plus_plus_nat(B_37),D_6)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_321_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 1.78/1.93 ! [A_52,B_37,C_27,D_6] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_52),B_37)),hAPP_int_int(plus_plus_int(C_27),D_6)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_52),C_27)),hAPP_int_int(plus_plus_int(B_37),D_6)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_322_add__right__cancel,axiom, % 1.78/1.93 ! [B_21,A_24,C_15] : % 1.78/1.93 ( hAPP_real_real(plus_plus_real(B_21),A_24) = hAPP_real_real(plus_plus_real(C_15),A_24) % 1.78/1.93 <=> B_21 = C_15 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_323_add__right__cancel,axiom, % 1.78/1.93 ! [B_21,A_24,C_15] : % 1.78/1.93 ( hAPP_nat_nat(plus_plus_nat(B_21),A_24) = hAPP_nat_nat(plus_plus_nat(C_15),A_24) % 1.78/1.93 <=> B_21 = C_15 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_324_add__right__cancel,axiom, % 1.78/1.93 ! [B_21,A_24,C_15] : % 1.78/1.93 ( hAPP_int_int(plus_plus_int(B_21),A_24) = hAPP_int_int(plus_plus_int(C_15),A_24) % 1.78/1.93 <=> B_21 = C_15 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_325_add__left__cancel,axiom, % 1.78/1.93 ! [A_24,B_21,C_15] : % 1.78/1.93 ( hAPP_real_real(plus_plus_real(A_24),B_21) = hAPP_real_real(plus_plus_real(A_24),C_15) % 1.78/1.93 <=> B_21 = C_15 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_326_add__left__cancel,axiom, % 1.78/1.93 ! [A_24,B_21,C_15] : % 1.78/1.93 ( hAPP_nat_nat(plus_plus_nat(A_24),B_21) = hAPP_nat_nat(plus_plus_nat(A_24),C_15) % 1.78/1.93 <=> B_21 = C_15 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_327_add__left__cancel,axiom, % 1.78/1.93 ! [A_24,B_21,C_15] : % 1.78/1.93 ( hAPP_int_int(plus_plus_int(A_24),B_21) = hAPP_int_int(plus_plus_int(A_24),C_15) % 1.78/1.93 <=> B_21 = C_15 ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_328_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 1.78/1.93 ! [A_51,B_36,C_26] : hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_51),B_36)),C_26) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_51),C_26)),B_36) ). % 1.78/1.93 % 1.78/1.93 fof(fact_329_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 1.78/1.93 ! [A_51,B_36,C_26] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_51),B_36)),C_26) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_51),C_26)),B_36) ). % 1.78/1.93 % 1.78/1.93 fof(fact_330_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 1.78/1.93 ! [A_51,B_36,C_26] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_51),B_36)),C_26) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_51),C_26)),B_36) ). % 1.78/1.93 % 1.78/1.93 fof(fact_331_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 1.78/1.93 ! [A_50,B_35,C_25] : hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_50),B_35)),C_25) = hAPP_real_real(plus_plus_real(A_50),hAPP_real_real(plus_plus_real(B_35),C_25)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_332_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 1.78/1.93 ! [A_50,B_35,C_25] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_50),B_35)),C_25) = hAPP_nat_nat(plus_plus_nat(A_50),hAPP_nat_nat(plus_plus_nat(B_35),C_25)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_333_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 1.78/1.93 ! [A_50,B_35,C_25] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_50),B_35)),C_25) = hAPP_int_int(plus_plus_int(A_50),hAPP_int_int(plus_plus_int(B_35),C_25)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 1.78/1.93 ! [A_49,B_34,C_24] : hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_49),B_34)),C_24) = hAPP_real_real(plus_plus_real(A_49),hAPP_real_real(plus_plus_real(B_34),C_24)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_335_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 1.78/1.93 ! [A_49,B_34,C_24] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_49),B_34)),C_24) = hAPP_nat_nat(plus_plus_nat(A_49),hAPP_nat_nat(plus_plus_nat(B_34),C_24)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_336_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 1.78/1.93 ! [A_49,B_34,C_24] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_49),B_34)),C_24) = hAPP_int_int(plus_plus_int(A_49),hAPP_int_int(plus_plus_int(B_34),C_24)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_337_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 1.78/1.93 ! [A_48,C_23,D_5] : hAPP_real_real(plus_plus_real(A_48),hAPP_real_real(plus_plus_real(C_23),D_5)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_48),C_23)),D_5) ). % 1.78/1.93 % 1.78/1.93 fof(fact_338_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 1.78/1.93 ! [A_48,C_23,D_5] : hAPP_nat_nat(plus_plus_nat(A_48),hAPP_nat_nat(plus_plus_nat(C_23),D_5)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_48),C_23)),D_5) ). % 1.78/1.93 % 1.78/1.93 fof(fact_339_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 1.78/1.93 ! [A_48,C_23,D_5] : hAPP_int_int(plus_plus_int(A_48),hAPP_int_int(plus_plus_int(C_23),D_5)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_48),C_23)),D_5) ). % 1.78/1.93 % 1.78/1.93 fof(fact_340_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 1.78/1.93 ! [A_47,C_22,D_4] : hAPP_real_real(plus_plus_real(A_47),hAPP_real_real(plus_plus_real(C_22),D_4)) = hAPP_real_real(plus_plus_real(C_22),hAPP_real_real(plus_plus_real(A_47),D_4)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_341_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 1.78/1.93 ! [A_47,C_22,D_4] : hAPP_nat_nat(plus_plus_nat(A_47),hAPP_nat_nat(plus_plus_nat(C_22),D_4)) = hAPP_nat_nat(plus_plus_nat(C_22),hAPP_nat_nat(plus_plus_nat(A_47),D_4)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_342_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 1.78/1.93 ! [A_47,C_22,D_4] : hAPP_int_int(plus_plus_int(A_47),hAPP_int_int(plus_plus_int(C_22),D_4)) = hAPP_int_int(plus_plus_int(C_22),hAPP_int_int(plus_plus_int(A_47),D_4)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_343_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 1.78/1.93 ! [A_46,C_21] : hAPP_real_real(plus_plus_real(A_46),C_21) = hAPP_real_real(plus_plus_real(C_21),A_46) ). % 1.78/1.93 % 1.78/1.93 fof(fact_344_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 1.78/1.93 ! [A_46,C_21] : hAPP_nat_nat(plus_plus_nat(A_46),C_21) = hAPP_nat_nat(plus_plus_nat(C_21),A_46) ). % 1.78/1.93 % 1.78/1.93 fof(fact_345_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 1.78/1.93 ! [A_46,C_21] : hAPP_int_int(plus_plus_int(A_46),C_21) = hAPP_int_int(plus_plus_int(C_21),A_46) ). % 1.78/1.93 % 1.78/1.93 fof(fact_346_one__reorient,axiom, % 1.78/1.93 ! [Xa] : % 1.78/1.93 ( one_one_real = Xa % 1.78/1.93 <=> Xa = one_one_real ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_347_one__reorient,axiom, % 1.78/1.93 ! [Xa] : % 1.78/1.93 ( one_one_nat = Xa % 1.78/1.93 <=> Xa = one_one_nat ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_348_one__reorient,axiom, % 1.78/1.93 ! [Xa] : % 1.78/1.93 ( one_one_int = Xa % 1.78/1.93 <=> Xa = one_one_int ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_349_add__0__iff,axiom, % 1.78/1.93 ! [B_21,A_24] : % 1.78/1.93 ( B_21 = hAPP_real_real(plus_plus_real(B_21),A_24) % 1.78/1.93 <=> A_24 = zero_zero_real ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_350_add__0__iff,axiom, % 1.78/1.93 ! [B_21,A_24] : % 1.78/1.93 ( B_21 = hAPP_nat_nat(plus_plus_nat(B_21),A_24) % 1.78/1.93 <=> A_24 = zero_zero_nat ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_351_add__0__iff,axiom, % 1.78/1.93 ! [B_21,A_24] : % 1.78/1.93 ( B_21 = hAPP_int_int(plus_plus_int(B_21),A_24) % 1.78/1.93 <=> A_24 = zero_zero_int ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_352_add_Ocomm__neutral,axiom, % 1.78/1.93 ! [A_45] : hAPP_real_real(plus_plus_real(A_45),zero_zero_real) = A_45 ). % 1.78/1.93 % 1.78/1.93 fof(fact_353_add_Ocomm__neutral,axiom, % 1.78/1.93 ! [A_45] : hAPP_nat_nat(plus_plus_nat(A_45),zero_zero_nat) = A_45 ). % 1.78/1.93 % 1.78/1.93 fof(fact_354_add_Ocomm__neutral,axiom, % 1.78/1.93 ! [A_45] : hAPP_int_int(plus_plus_int(A_45),zero_zero_int) = A_45 ). % 1.78/1.93 % 1.78/1.93 fof(fact_355_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 1.78/1.93 ! [A_44] : hAPP_real_real(plus_plus_real(A_44),zero_zero_real) = A_44 ). % 1.78/1.93 % 1.78/1.93 fof(fact_356_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 1.78/1.93 ! [A_44] : hAPP_nat_nat(plus_plus_nat(A_44),zero_zero_nat) = A_44 ). % 1.78/1.93 % 1.78/1.93 fof(fact_357_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 1.78/1.93 ! [A_44] : hAPP_int_int(plus_plus_int(A_44),zero_zero_int) = A_44 ). % 1.78/1.93 % 1.78/1.93 fof(fact_358_add__0__right,axiom, % 1.78/1.93 ! [A_43] : hAPP_real_real(plus_plus_real(A_43),zero_zero_real) = A_43 ). % 1.78/1.93 % 1.78/1.93 fof(fact_359_add__0__right,axiom, % 1.78/1.93 ! [A_43] : hAPP_nat_nat(plus_plus_nat(A_43),zero_zero_nat) = A_43 ). % 1.78/1.93 % 1.78/1.93 fof(fact_360_add__0__right,axiom, % 1.78/1.93 ! [A_43] : hAPP_int_int(plus_plus_int(A_43),zero_zero_int) = A_43 ). % 1.78/1.93 % 1.78/1.93 fof(fact_361_double__zero__sym,axiom, % 1.78/1.93 ! [A_24] : % 1.78/1.93 ( zero_zero_real = hAPP_real_real(plus_plus_real(A_24),A_24) % 1.78/1.93 <=> A_24 = zero_zero_real ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_362_double__zero__sym,axiom, % 1.78/1.93 ! [A_24] : % 1.78/1.93 ( zero_zero_int = hAPP_int_int(plus_plus_int(A_24),A_24) % 1.78/1.93 <=> A_24 = zero_zero_int ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_363_add__0,axiom, % 1.78/1.93 ! [A_42] : hAPP_real_real(plus_plus_real(zero_zero_real),A_42) = A_42 ). % 1.78/1.93 % 1.78/1.93 fof(fact_364_add__0,axiom, % 1.78/1.93 ! [A_42] : hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_42) = A_42 ). % 1.78/1.93 % 1.78/1.93 fof(fact_365_add__0,axiom, % 1.78/1.93 ! [A_42] : hAPP_int_int(plus_plus_int(zero_zero_int),A_42) = A_42 ). % 1.78/1.93 % 1.78/1.93 fof(fact_366_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 1.78/1.93 ! [A_41] : hAPP_real_real(plus_plus_real(zero_zero_real),A_41) = A_41 ). % 1.78/1.93 % 1.78/1.93 fof(fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 1.78/1.93 ! [A_41] : hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_41) = A_41 ). % 1.78/1.93 % 1.78/1.93 fof(fact_368_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 1.78/1.93 ! [A_41] : hAPP_int_int(plus_plus_int(zero_zero_int),A_41) = A_41 ). % 1.78/1.93 % 1.78/1.93 fof(fact_369_add__0__left,axiom, % 1.78/1.93 ! [A_40] : hAPP_real_real(plus_plus_real(zero_zero_real),A_40) = A_40 ). % 1.78/1.93 % 1.78/1.93 fof(fact_370_add__0__left,axiom, % 1.78/1.93 ! [A_40] : hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_40) = A_40 ). % 1.78/1.93 % 1.78/1.93 fof(fact_371_add__0__left,axiom, % 1.78/1.93 ! [A_40] : hAPP_int_int(plus_plus_int(zero_zero_int),A_40) = A_40 ). % 1.78/1.93 % 1.78/1.93 fof(fact_372_add__less__imp__less__left,axiom, % 1.78/1.93 ! [C_20,A_39,B_33] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_20),A_39)),hAPP_real_real(plus_plus_real(C_20),B_33))) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_39),B_33)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_373_add__less__imp__less__left,axiom, % 1.78/1.93 ! [C_20,A_39,B_33] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_20),A_39)),hAPP_nat_nat(plus_plus_nat(C_20),B_33))) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_39),B_33)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_374_add__less__imp__less__left,axiom, % 1.78/1.93 ! [C_20,A_39,B_33] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_20),A_39)),hAPP_int_int(plus_plus_int(C_20),B_33))) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_39),B_33)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_375_add__less__imp__less__right,axiom, % 1.78/1.93 ! [A_38,C_19,B_32] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_38),C_19)),hAPP_real_real(plus_plus_real(B_32),C_19))) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_38),B_32)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_376_add__less__imp__less__right,axiom, % 1.78/1.93 ! [A_38,C_19,B_32] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_38),C_19)),hAPP_nat_nat(plus_plus_nat(B_32),C_19))) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_38),B_32)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_377_add__less__imp__less__right,axiom, % 1.78/1.93 ! [A_38,C_19,B_32] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_38),C_19)),hAPP_int_int(plus_plus_int(B_32),C_19))) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_38),B_32)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_378_add__strict__mono,axiom, % 1.78/1.93 ! [C_18,D_3,A_37,B_31] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_37),B_31)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_18),D_3)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_37),C_18)),hAPP_real_real(plus_plus_real(B_31),D_3))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_379_add__strict__mono,axiom, % 1.78/1.93 ! [C_18,D_3,A_37,B_31] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_37),B_31)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_18),D_3)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_37),C_18)),hAPP_nat_nat(plus_plus_nat(B_31),D_3))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_380_add__strict__mono,axiom, % 1.78/1.93 ! [C_18,D_3,A_37,B_31] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_37),B_31)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_18),D_3)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_37),C_18)),hAPP_int_int(plus_plus_int(B_31),D_3))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_381_add__strict__left__mono,axiom, % 1.78/1.93 ! [C_17,A_36,B_30] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_36),B_30)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_17),A_36)),hAPP_real_real(plus_plus_real(C_17),B_30))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_382_add__strict__left__mono,axiom, % 1.78/1.93 ! [C_17,A_36,B_30] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_36),B_30)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_17),A_36)),hAPP_nat_nat(plus_plus_nat(C_17),B_30))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_383_add__strict__left__mono,axiom, % 1.78/1.93 ! [C_17,A_36,B_30] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_36),B_30)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_17),A_36)),hAPP_int_int(plus_plus_int(C_17),B_30))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_384_add__strict__right__mono,axiom, % 1.78/1.93 ! [C_16,A_35,B_29] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_35),B_29)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_35),C_16)),hAPP_real_real(plus_plus_real(B_29),C_16))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_385_add__strict__right__mono,axiom, % 1.78/1.93 ! [C_16,A_35,B_29] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_35),B_29)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_35),C_16)),hAPP_nat_nat(plus_plus_nat(B_29),C_16))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_386_add__strict__right__mono,axiom, % 1.78/1.93 ! [C_16,A_35,B_29] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_35),B_29)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_35),C_16)),hAPP_int_int(plus_plus_int(B_29),C_16))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_387_add__less__cancel__left,axiom, % 1.78/1.93 ! [C_15,A_24,B_21] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_15),A_24)),hAPP_real_real(plus_plus_real(C_15),B_21))) % 1.78/1.93 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),B_21)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_388_add__less__cancel__left,axiom, % 1.78/1.93 ! [C_15,A_24,B_21] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_15),A_24)),hAPP_nat_nat(plus_plus_nat(C_15),B_21))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_24),B_21)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_389_add__less__cancel__left,axiom, % 1.78/1.93 ! [C_15,A_24,B_21] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_15),A_24)),hAPP_int_int(plus_plus_int(C_15),B_21))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),B_21)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_390_add__less__cancel__right,axiom, % 1.78/1.93 ! [A_24,C_15,B_21] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_24),C_15)),hAPP_real_real(plus_plus_real(B_21),C_15))) % 1.78/1.93 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),B_21)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_391_add__less__cancel__right,axiom, % 1.78/1.93 ! [A_24,C_15,B_21] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_24),C_15)),hAPP_nat_nat(plus_plus_nat(B_21),C_15))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_24),B_21)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_392_add__less__cancel__right,axiom, % 1.78/1.93 ! [A_24,C_15,B_21] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_24),C_15)),hAPP_int_int(plus_plus_int(B_21),C_15))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),B_21)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_393_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 1.78/1.93 ! [X_13] : hAPP_nat_real(power_power_real(X_13),one_one_nat) = X_13 ). % 1.78/1.93 % 1.78/1.93 fof(fact_394_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 1.78/1.93 ! [X_13] : hAPP_nat_nat(power_power_nat(X_13),one_one_nat) = X_13 ). % 1.78/1.93 % 1.78/1.93 fof(fact_395_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 1.78/1.93 ! [X_13] : hAPP_nat_int(power_power_int(X_13),one_one_nat) = X_13 ). % 1.78/1.93 % 1.78/1.93 fof(fact_396_nat__power__eq__0__iff,axiom, % 1.78/1.93 ! [Ma,Na] : % 1.78/1.93 ( hAPP_nat_nat(power_power_nat(Ma),Na) = zero_zero_nat % 1.78/1.93 <=> ( Na != zero_zero_nat % 1.78/1.93 & Ma = zero_zero_nat ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_397_add__neg__neg,axiom, % 1.78/1.93 ! [B_28,A_34] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_34),zero_zero_real)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_28),zero_zero_real)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_34),B_28)),zero_zero_real)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_398_add__neg__neg,axiom, % 1.78/1.93 ! [B_28,A_34] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_34),zero_zero_nat)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_28),zero_zero_nat)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_34),B_28)),zero_zero_nat)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_399_add__neg__neg,axiom, % 1.78/1.93 ! [B_28,A_34] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_34),zero_zero_int)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_28),zero_zero_int)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_34),B_28)),zero_zero_int)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_400_add__pos__pos,axiom, % 1.78/1.93 ! [B_27,A_33] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_33)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_27)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_33),B_27))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_401_add__pos__pos,axiom, % 1.78/1.93 ! [B_27,A_33] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_33)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_27)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A_33),B_27))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_402_add__pos__pos,axiom, % 1.78/1.93 ! [B_27,A_33] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_33)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_27)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_33),B_27))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_403_realpow__pos__nth__unique,axiom, % 1.78/1.93 ! [A,N_1] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)) % 1.78/1.93 => ? [X_12] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_12)) % 1.78/1.93 & hAPP_nat_real(power_power_real(X_12),N_1) = A % 1.78/1.93 & ! [Y_11] : % 1.78/1.93 ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_11)) % 1.78/1.93 & hAPP_nat_real(power_power_real(Y_11),N_1) = A ) % 1.78/1.93 => Y_11 = X_12 ) ) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_404_realpow__pos__nth,axiom, % 1.78/1.93 ! [A,N_1] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)) % 1.78/1.93 => ? [R] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R)) % 1.78/1.93 & hAPP_nat_real(power_power_real(R),N_1) = A ) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_405_tpos,axiom, % 1.78/1.93 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_406_nat__number__of__add__1,axiom, % 1.78/1.93 ! [V_6] : % 1.78/1.93 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls)) % 1.78/1.93 => hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),one_one_nat) = one_one_nat ) % 1.78/1.93 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls)) % 1.78/1.93 => hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),one_one_nat) = number_number_of_nat(succ(V_6)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_407_nat__1__add__number__of,axiom, % 1.78/1.93 ! [V_6] : % 1.78/1.93 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls)) % 1.78/1.93 => hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(V_6)) = one_one_nat ) % 1.78/1.93 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls)) % 1.78/1.93 => hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(V_6)) = number_number_of_nat(succ(V_6)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_408_add__le__cancel__right,axiom, % 1.78/1.93 ! [A_24,C_15,B_21] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(A_24),C_15)),hAPP_real_real(plus_plus_real(B_21),C_15))) % 1.78/1.93 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_24),B_21)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_409_add__le__cancel__right,axiom, % 1.78/1.93 ! [A_24,C_15,B_21] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A_24),C_15)),hAPP_nat_nat(plus_plus_nat(B_21),C_15))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_24),B_21)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_410_add__le__cancel__right,axiom, % 1.78/1.93 ! [A_24,C_15,B_21] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(A_24),C_15)),hAPP_int_int(plus_plus_int(B_21),C_15))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_24),B_21)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_411_add__le__cancel__left,axiom, % 1.78/1.93 ! [C_15,A_24,B_21] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(C_15),A_24)),hAPP_real_real(plus_plus_real(C_15),B_21))) % 1.78/1.93 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_24),B_21)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_412_add__le__cancel__left,axiom, % 1.78/1.93 ! [C_15,A_24,B_21] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(C_15),A_24)),hAPP_nat_nat(plus_plus_nat(C_15),B_21))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_24),B_21)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_413_add__le__cancel__left,axiom, % 1.78/1.93 ! [C_15,A_24,B_21] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(C_15),A_24)),hAPP_int_int(plus_plus_int(C_15),B_21))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_24),B_21)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_414_add__right__mono,axiom, % 1.78/1.93 ! [C_14,A_32,B_26] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_32),B_26)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(A_32),C_14)),hAPP_real_real(plus_plus_real(B_26),C_14))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_415_add__right__mono,axiom, % 1.78/1.93 ! [C_14,A_32,B_26] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_32),B_26)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A_32),C_14)),hAPP_nat_nat(plus_plus_nat(B_26),C_14))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_416_add__right__mono,axiom, % 1.78/1.93 ! [C_14,A_32,B_26] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_32),B_26)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(A_32),C_14)),hAPP_int_int(plus_plus_int(B_26),C_14))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_417_add__left__mono,axiom, % 1.78/1.93 ! [C_13,A_31,B_25] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_31),B_25)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(C_13),A_31)),hAPP_real_real(plus_plus_real(C_13),B_25))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_418_add__left__mono,axiom, % 1.78/1.93 ! [C_13,A_31,B_25] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_31),B_25)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(C_13),A_31)),hAPP_nat_nat(plus_plus_nat(C_13),B_25))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_419_add__left__mono,axiom, % 1.78/1.93 ! [C_13,A_31,B_25] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_31),B_25)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(C_13),A_31)),hAPP_int_int(plus_plus_int(C_13),B_25))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_420_add__mono,axiom, % 1.78/1.93 ! [C_12,D_2,A_30,B_24] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_30),B_24)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_12),D_2)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(A_30),C_12)),hAPP_real_real(plus_plus_real(B_24),D_2))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_421_add__mono,axiom, % 1.78/1.93 ! [C_12,D_2,A_30,B_24] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_30),B_24)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_12),D_2)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A_30),C_12)),hAPP_nat_nat(plus_plus_nat(B_24),D_2))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_422_add__mono,axiom, % 1.78/1.93 ! [C_12,D_2,A_30,B_24] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_30),B_24)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_12),D_2)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(A_30),C_12)),hAPP_int_int(plus_plus_int(B_24),D_2))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_423_add__le__imp__le__right,axiom, % 1.78/1.93 ! [A_29,C_11,B_23] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(A_29),C_11)),hAPP_real_real(plus_plus_real(B_23),C_11))) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_29),B_23)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_424_add__le__imp__le__right,axiom, % 1.78/1.93 ! [A_29,C_11,B_23] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A_29),C_11)),hAPP_nat_nat(plus_plus_nat(B_23),C_11))) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_29),B_23)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_425_add__le__imp__le__right,axiom, % 1.78/1.93 ! [A_29,C_11,B_23] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(A_29),C_11)),hAPP_int_int(plus_plus_int(B_23),C_11))) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_29),B_23)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_426_add__le__imp__le__left,axiom, % 1.78/1.93 ! [C_10,A_28,B_22] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(C_10),A_28)),hAPP_real_real(plus_plus_real(C_10),B_22))) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_28),B_22)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_427_add__le__imp__le__left,axiom, % 1.78/1.93 ! [C_10,A_28,B_22] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(C_10),A_28)),hAPP_nat_nat(plus_plus_nat(C_10),B_22))) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_28),B_22)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_428_add__le__imp__le__left,axiom, % 1.78/1.93 ! [C_10,A_28,B_22] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(C_10),A_28)),hAPP_int_int(plus_plus_int(C_10),B_22))) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_28),B_22)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_429_power__increasing,axiom, % 1.78/1.93 ! [A_27,N_13,N_12] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_13),N_12)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),A_27)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(A_27),N_13)),hAPP_nat_real(power_power_real(A_27),N_12))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_430_power__increasing,axiom, % 1.78/1.93 ! [A_27,N_13,N_12] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_13),N_12)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),A_27)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(A_27),N_13)),hAPP_nat_nat(power_power_nat(A_27),N_12))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_431_power__increasing,axiom, % 1.78/1.93 ! [A_27,N_13,N_12] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_13),N_12)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),A_27)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(A_27),N_13)),hAPP_nat_int(power_power_int(A_27),N_12))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_432_less__eq__int__code_I16_J,axiom, % 1.78/1.93 ! [K1,K2] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K1)),bit1(K2))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K1),K2)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_433_rel__simps_I34_J,axiom, % 1.78/1.93 ! [K_2,L_1] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K_2)),bit1(L_1))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K_2),L_1)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_434_rel__simps_I19_J,axiom, % 1.78/1.93 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_435_less__eq__int__code_I13_J,axiom, % 1.78/1.93 ! [K1,K2] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K1)),bit0(K2))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K1),K2)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_436_rel__simps_I31_J,axiom, % 1.78/1.93 ! [K_2,L_1] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K_2)),bit0(L_1))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K_2),L_1)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_437_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 1.78/1.93 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),zero_zero_int)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_438_zle__refl,axiom, % 1.78/1.93 ! [W] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),W)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_439_zle__linear,axiom, % 1.78/1.93 ! [Z_2,W] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_2),W)) % 1.78/1.93 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),Z_2)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_440_zle__trans,axiom, % 1.78/1.93 ! [K,I_2,J_2] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_2),J_2)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,J_2),K)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_2),K)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_441_zle__antisym,axiom, % 1.78/1.93 ! [Z_2,W] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_2),W)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),Z_2)) % 1.78/1.93 => Z_2 = W ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_442_le__number__of,axiom, % 1.78/1.93 ! [Xa,Ya] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(Xa)),number267125858f_real(Ya))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Xa),Ya)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_443_le__number__of,axiom, % 1.78/1.93 ! [Xa,Ya] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(Xa)),number_number_of_int(Ya))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Xa),Ya)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_444_of__nat__le__iff,axiom, % 1.78/1.93 ! [Ma,Na] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_445_of__nat__le__iff,axiom, % 1.78/1.93 ! [Ma,Na] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_446_of__nat__le__iff,axiom, % 1.78/1.93 ! [Ma,Na] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_447_zless__le,axiom, % 1.78/1.93 ! [Z_3,Wa] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),Wa)) % 1.78/1.93 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_3),Wa)) % 1.78/1.93 & Z_3 != Wa ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_448_zadd__left__mono,axiom, % 1.78/1.93 ! [K,I_2,J_2] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_2),J_2)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(K),I_2)),hAPP_int_int(plus_plus_int(K),J_2))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_449_less__eq__number__of__int__code,axiom, % 1.78/1.93 ! [K_2,L_1] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(K_2)),number_number_of_int(L_1))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K_2),L_1)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_450_le__special_I1_J,axiom, % 1.78/1.93 ! [Ya] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(Ya))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),Ya)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_451_le__special_I1_J,axiom, % 1.78/1.93 ! [Ya] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(Ya))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),Ya)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_452_le__special_I3_J,axiom, % 1.78/1.93 ! [Xa] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(Xa)),zero_zero_real)) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Xa),pls)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_453_le__special_I3_J,axiom, % 1.78/1.93 ! [Xa] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(Xa)),zero_zero_int)) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Xa),pls)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_454_power__decreasing,axiom, % 1.78/1.93 ! [A_26,N_11,N_10] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_11),N_10)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_26)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_26),one_one_real)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(A_26),N_10)),hAPP_nat_real(power_power_real(A_26),N_11))) ) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_455_power__decreasing,axiom, % 1.78/1.93 ! [A_26,N_11,N_10] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_11),N_10)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_26)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_26),one_one_nat)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(A_26),N_10)),hAPP_nat_nat(power_power_nat(A_26),N_11))) ) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_456_power__decreasing,axiom, % 1.78/1.93 ! [A_26,N_11,N_10] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_11),N_10)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_26)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_26),one_one_int)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(A_26),N_10)),hAPP_nat_int(power_power_int(A_26),N_11))) ) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_457_power__increasing__iff,axiom, % 1.78/1.93 ! [Xa,Ya,B_21] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B_21)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(B_21),Xa)),hAPP_nat_real(power_power_real(B_21),Ya))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Xa),Ya)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_458_power__increasing__iff,axiom, % 1.78/1.93 ! [Xa,Ya,B_21] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B_21)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(B_21),Xa)),hAPP_nat_nat(power_power_nat(B_21),Ya))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Xa),Ya)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_459_power__increasing__iff,axiom, % 1.78/1.93 ! [Xa,Ya,B_21] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_21)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(B_21),Xa)),hAPP_nat_int(power_power_int(B_21),Ya))) % 1.78/1.93 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Xa),Ya)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_460_power__le__imp__le__exp,axiom, % 1.78/1.93 ! [M_3,N_9,A_25] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_25)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(A_25),M_3)),hAPP_nat_real(power_power_real(A_25),N_9))) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_3),N_9)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_461_power__le__imp__le__exp,axiom, % 1.78/1.93 ! [M_3,N_9,A_25] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_25)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(A_25),M_3)),hAPP_nat_nat(power_power_nat(A_25),N_9))) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_3),N_9)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_462_power__le__imp__le__exp,axiom, % 1.78/1.93 ! [M_3,N_9,A_25] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_25)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(A_25),M_3)),hAPP_nat_int(power_power_int(A_25),N_9))) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_3),N_9)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_463_le__special_I2_J,axiom, % 1.78/1.93 ! [Ya] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),number267125858f_real(Ya))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),Ya)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_464_le__special_I2_J,axiom, % 1.78/1.93 ! [Ya] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),number_number_of_int(Ya))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),Ya)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_465_le__special_I4_J,axiom, % 1.78/1.93 ! [Xa] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(Xa)),one_one_real)) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Xa),bit1(pls))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_466_le__special_I4_J,axiom, % 1.78/1.93 ! [Xa] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(Xa)),one_one_int)) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Xa),bit1(pls))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_467_zero__le__double__add__iff__zero__le__single__add,axiom, % 1.78/1.93 ! [A_24] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_24),A_24))) % 1.78/1.93 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_24)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_468_zero__le__double__add__iff__zero__le__single__add,axiom, % 1.78/1.93 ! [A_24] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_24),A_24))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_24)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_469_double__add__le__zero__iff__single__add__le__zero,axiom, % 1.78/1.93 ! [A_24] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(A_24),A_24)),zero_zero_real)) % 1.78/1.93 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_24),zero_zero_real)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_470_double__add__le__zero__iff__single__add__le__zero,axiom, % 1.78/1.93 ! [A_24] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(A_24),A_24)),zero_zero_int)) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_24),zero_zero_int)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_471_add__nonneg__nonneg,axiom, % 1.78/1.93 ! [B_20,A_23] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_23)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_20)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_23),B_20))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_472_add__nonneg__nonneg,axiom, % 1.78/1.93 ! [B_20,A_23] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_23)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B_20)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A_23),B_20))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_473_add__nonneg__nonneg,axiom, % 1.78/1.93 ! [B_20,A_23] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_23)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_20)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_23),B_20))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_474_add__nonneg__eq__0__iff,axiom, % 1.78/1.93 ! [Ya,Xa] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),Xa)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),Ya)) % 1.78/1.93 => ( hAPP_real_real(plus_plus_real(Xa),Ya) = zero_zero_real % 1.78/1.93 <=> ( Xa = zero_zero_real % 1.78/1.93 & Ya = zero_zero_real ) ) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_475_add__nonneg__eq__0__iff,axiom, % 1.78/1.93 ! [Ya,Xa] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),Xa)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),Ya)) % 1.78/1.93 => ( hAPP_nat_nat(plus_plus_nat(Xa),Ya) = zero_zero_nat % 1.78/1.93 <=> ( Xa = zero_zero_nat % 1.78/1.93 & Ya = zero_zero_nat ) ) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_476_add__nonneg__eq__0__iff,axiom, % 1.78/1.93 ! [Ya,Xa] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Ya)) % 1.78/1.93 => ( hAPP_int_int(plus_plus_int(Xa),Ya) = zero_zero_int % 1.78/1.93 <=> ( Xa = zero_zero_int % 1.78/1.93 & Ya = zero_zero_int ) ) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_477_add__increasing,axiom, % 1.78/1.93 ! [B_19,C_9,A_22] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_22)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_19),C_9)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_19),hAPP_real_real(plus_plus_real(A_22),C_9))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_478_add__increasing,axiom, % 1.78/1.93 ! [B_19,C_9,A_22] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_22)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_19),C_9)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_19),hAPP_nat_nat(plus_plus_nat(A_22),C_9))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_479_add__increasing,axiom, % 1.78/1.93 ! [B_19,C_9,A_22] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_22)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_19),C_9)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_19),hAPP_int_int(plus_plus_int(A_22),C_9))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_480_add__increasing2,axiom, % 1.78/1.93 ! [B_18,A_21,C_8] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_8)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_18),A_21)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_18),hAPP_real_real(plus_plus_real(A_21),C_8))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_481_add__increasing2,axiom, % 1.78/1.93 ! [B_18,A_21,C_8] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_8)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_18),A_21)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_18),hAPP_nat_nat(plus_plus_nat(A_21),C_8))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_482_add__increasing2,axiom, % 1.78/1.93 ! [B_18,A_21,C_8] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_8)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_18),A_21)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_18),hAPP_int_int(plus_plus_int(A_21),C_8))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_483_add__nonpos__nonpos,axiom, % 1.78/1.93 ! [B_17,A_20] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_20),zero_zero_real)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_17),zero_zero_real)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(A_20),B_17)),zero_zero_real)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_484_add__nonpos__nonpos,axiom, % 1.78/1.93 ! [B_17,A_20] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_20),zero_zero_nat)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_17),zero_zero_nat)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A_20),B_17)),zero_zero_nat)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_485_add__nonpos__nonpos,axiom, % 1.78/1.93 ! [B_17,A_20] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_20),zero_zero_int)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_17),zero_zero_int)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(A_20),B_17)),zero_zero_int)) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_486_add__less__le__mono,axiom, % 1.78/1.93 ! [C_7,D_1,A_19,B_16] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_19),B_16)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_7),D_1)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_19),C_7)),hAPP_real_real(plus_plus_real(B_16),D_1))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_487_add__less__le__mono,axiom, % 1.78/1.93 ! [C_7,D_1,A_19,B_16] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_19),B_16)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_7),D_1)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_19),C_7)),hAPP_nat_nat(plus_plus_nat(B_16),D_1))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_488_add__less__le__mono,axiom, % 1.78/1.93 ! [C_7,D_1,A_19,B_16] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_19),B_16)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_7),D_1)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_19),C_7)),hAPP_int_int(plus_plus_int(B_16),D_1))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_489_add__le__less__mono,axiom, % 1.78/1.93 ! [C_6,D,A_18,B_15] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_18),B_15)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_6),D)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_18),C_6)),hAPP_real_real(plus_plus_real(B_15),D))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_490_add__le__less__mono,axiom, % 1.78/1.93 ! [C_6,D,A_18,B_15] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_18),B_15)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_6),D)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_18),C_6)),hAPP_nat_nat(plus_plus_nat(B_15),D))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_491_add__le__less__mono,axiom, % 1.78/1.93 ! [C_6,D,A_18,B_15] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_18),B_15)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_6),D)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_18),C_6)),hAPP_int_int(plus_plus_int(B_15),D))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_492_not__one__le__zero,axiom, % 1.78/1.93 ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),zero_zero_real)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_493_not__one__le__zero,axiom, % 1.78/1.93 ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),zero_zero_nat)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_494_not__one__le__zero,axiom, % 1.78/1.93 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),zero_zero_int)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_495_zero__le__one,axiom, % 1.78/1.93 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),one_one_real)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_496_zero__le__one,axiom, % 1.78/1.93 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),one_one_nat)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_497_zero__le__one,axiom, % 1.78/1.93 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),one_one_int)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_498_le__number__of__eq__not__less,axiom, % 1.78/1.93 ! [Va,Wa] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(Va)),number267125858f_real(Wa))) % 1.78/1.93 <=> ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Wa)),number267125858f_real(Va))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_499_le__number__of__eq__not__less,axiom, % 1.78/1.93 ! [Va,Wa] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(Va)),number_number_of_nat(Wa))) % 1.78/1.93 <=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(Wa)),number_number_of_nat(Va))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_500_le__number__of__eq__not__less,axiom, % 1.78/1.93 ! [Va,Wa] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(Va)),number_number_of_int(Wa))) % 1.78/1.93 <=> ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Wa)),number_number_of_int(Va))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_501_zero__le__power,axiom, % 1.78/1.93 ! [N_8,A_17] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_17)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(A_17),N_8))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_502_zero__le__power,axiom, % 1.78/1.93 ! [N_8,A_17] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_17)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A_17),N_8))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_503_zero__le__power,axiom, % 1.78/1.93 ! [N_8,A_17] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_17)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(A_17),N_8))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_504_power__mono,axiom, % 1.78/1.93 ! [N_7,A_16,B_14] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_16),B_14)) % 1.78/1.93 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_16)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(A_16),N_7)),hAPP_nat_real(power_power_real(B_14),N_7))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_505_power__mono,axiom, % 1.78/1.93 ! [N_7,A_16,B_14] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_16),B_14)) % 1.78/1.93 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_16)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(A_16),N_7)),hAPP_nat_nat(power_power_nat(B_14),N_7))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_506_power__mono,axiom, % 1.78/1.93 ! [N_7,A_16,B_14] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_16),B_14)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_16)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(A_16),N_7)),hAPP_nat_int(power_power_int(B_14),N_7))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_507_one__le__power,axiom, % 1.78/1.93 ! [N_6,A_15] : % 1.78/1.93 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),A_15)) % 1.78/1.93 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),hAPP_nat_real(power_power_real(A_15),N_6))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_508_one__le__power,axiom, % 1.78/1.93 ! [N_6,A_15] : % 1.78/1.93 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),A_15)) % 1.78/1.93 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),hAPP_nat_nat(power_power_nat(A_15),N_6))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_509_one__le__power,axiom, % 1.78/1.93 ! [N_6,A_15] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),A_15)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),hAPP_nat_int(power_power_int(A_15),N_6))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_510_zero__le__imp__of__nat,axiom, % 1.78/1.93 ! [M_2] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,M_2))) ). % 1.78/1.93 % 1.78/1.93 fof(fact_511_zero__le__imp__of__nat,axiom, % 1.78/1.93 ! [M_2] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,M_2))) ). % 1.78/1.93 % 1.78/1.93 fof(fact_512_zero__le__imp__of__nat,axiom, % 1.78/1.93 ! [M_2] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,M_2))) ). % 1.78/1.93 % 1.78/1.93 fof(fact_513_of__nat__0__le__iff,axiom, % 1.78/1.93 ! [N_5] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,N_5))) ). % 1.78/1.93 % 1.78/1.93 fof(fact_514_of__nat__0__le__iff,axiom, % 1.78/1.93 ! [N_5] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,N_5))) ). % 1.78/1.93 % 1.78/1.93 fof(fact_515_of__nat__0__le__iff,axiom, % 1.78/1.93 ! [N_5] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_5))) ). % 1.78/1.93 % 1.78/1.93 fof(fact_516_rel__simps_I22_J,axiom, % 1.78/1.93 ! [K_2] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit1(K_2))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),K_2)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_517_rel__simps_I32_J,axiom, % 1.78/1.93 ! [K_2,L_1] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K_2)),bit1(L_1))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K_2),L_1)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_518_less__eq__int__code_I14_J,axiom, % 1.78/1.93 ! [K1,K2] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K1)),bit1(K2))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K1),K2)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_519_rel__simps_I21_J,axiom, % 1.78/1.93 ! [K_2] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit0(K_2))) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),K_2)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_520_rel__simps_I27_J,axiom, % 1.78/1.93 ! [K_2] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K_2)),pls)) % 1.78/1.93 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K_2),pls)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_521_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 1.78/1.93 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),one_one_int)) ). % 1.78/1.93 % 1.78/1.93 fof(fact_522_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 1.78/1.93 ! [Y,X] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(X),Y))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_523_zadd__zless__mono,axiom, % 1.78/1.93 ! [Z_4,Z_2,W_1,W] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),W)) % 1.78/1.93 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_4),Z_2)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(W_1),Z_4)),hAPP_int_int(plus_plus_int(W),Z_2))) ) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_524_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 1.78/1.93 ! [Z_2] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Z_2))) ). % 1.78/1.93 % 1.78/1.93 fof(fact_525_transfer__int__nat__quantifiers_I2_J,axiom, % 1.78/1.93 ! [P_1] : % 1.78/1.93 ( ? [X_12] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_12)) % 1.78/1.93 & hBOOL(hAPP_int_bool(P_1,X_12)) ) % 1.78/1.93 <=> ? [X_12] : hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_12))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_526_transfer__int__nat__quantifiers_I1_J,axiom, % 1.78/1.93 ! [P_1] : % 1.78/1.93 ( ! [X_12] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_12)) % 1.78/1.93 => hBOOL(hAPP_int_bool(P_1,X_12)) ) % 1.78/1.93 <=> ! [X_12] : hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_12))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_527_zero__zle__int,axiom, % 1.78/1.93 ! [N_1] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_1))) ). % 1.78/1.93 % 1.78/1.93 fof(fact_528_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 1.78/1.93 ! [N_1,X] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X)) % 1.78/1.93 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X),N_1))) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_529_zle__iff__zadd,axiom, % 1.78/1.93 ! [Wa,Z_3] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Wa),Z_3)) % 1.78/1.93 <=> ? [N] : Z_3 = hAPP_int_int(plus_plus_int(Wa),hAPP_nat_int(semiri1621563631at_int,N)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_530_semiring__1__add__number__of,axiom, % 1.78/1.93 ! [V_5] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_5)) % 1.78/1.93 => hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(V_5)) = number267125858f_real(succ(V_5)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_531_semiring__1__add__number__of,axiom, % 1.78/1.93 ! [V_5] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_5)) % 1.78/1.93 => hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(V_5)) = number_number_of_nat(succ(V_5)) ) ). % 1.78/1.93 % 1.78/1.93 fof(fact_532_semiring__1__add__number__of,axiom, % 1.78/1.93 ! [V_5] : % 1.78/1.93 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_5)) % 1.78/1.93 => hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(V_5)) = number_number_of_int(succ(V_5)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_533_semiring__number__of__add__1,axiom, % 1.78/1.94 ! [V_4] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_4)) % 1.78/1.94 => hAPP_real_real(plus_plus_real(number267125858f_real(V_4)),one_one_real) = number267125858f_real(succ(V_4)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_534_semiring__number__of__add__1,axiom, % 1.78/1.94 ! [V_4] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_4)) % 1.78/1.94 => hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_4)),one_one_nat) = number_number_of_nat(succ(V_4)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_535_semiring__number__of__add__1,axiom, % 1.78/1.94 ! [V_4] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_4)) % 1.78/1.94 => hAPP_int_int(plus_plus_int(number_number_of_int(V_4)),one_one_int) = number_number_of_int(succ(V_4)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_536_add__pos__nonneg,axiom, % 1.78/1.94 ! [B_13,A_14] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_14)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_13)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_14),B_13))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_537_add__pos__nonneg,axiom, % 1.78/1.94 ! [B_13,A_14] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_14)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B_13)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A_14),B_13))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_538_add__pos__nonneg,axiom, % 1.78/1.94 ! [B_13,A_14] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_14)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_13)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_14),B_13))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_539_add__nonneg__pos,axiom, % 1.78/1.94 ! [B_12,A_13] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_13)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_12)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_13),B_12))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_540_add__nonneg__pos,axiom, % 1.78/1.94 ! [B_12,A_13] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_13)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_12)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A_13),B_12))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_541_add__nonneg__pos,axiom, % 1.78/1.94 ! [B_12,A_13] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_13)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_12)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_13),B_12))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_542_add__strict__increasing,axiom, % 1.78/1.94 ! [B_11,C_5,A_12] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_12)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_11),C_5)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_11),hAPP_real_real(plus_plus_real(A_12),C_5))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_543_add__strict__increasing,axiom, % 1.78/1.94 ! [B_11,C_5,A_12] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_12)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_11),C_5)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_11),hAPP_nat_nat(plus_plus_nat(A_12),C_5))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_544_add__strict__increasing,axiom, % 1.78/1.94 ! [B_11,C_5,A_12] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_12)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_11),C_5)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_11),hAPP_int_int(plus_plus_int(A_12),C_5))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_545_add__strict__increasing2,axiom, % 1.78/1.94 ! [B_10,C_4,A_11] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_11)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_10),C_4)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_10),hAPP_real_real(plus_plus_real(A_11),C_4))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_546_add__strict__increasing2,axiom, % 1.78/1.94 ! [B_10,C_4,A_11] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_11)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_10),C_4)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_10),hAPP_nat_nat(plus_plus_nat(A_11),C_4))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_547_add__strict__increasing2,axiom, % 1.78/1.94 ! [B_10,C_4,A_11] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_11)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_10),C_4)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_10),hAPP_int_int(plus_plus_int(A_11),C_4))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_548_add__neg__nonpos,axiom, % 1.78/1.94 ! [B_9,A_10] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_10),zero_zero_real)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_9),zero_zero_real)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_10),B_9)),zero_zero_real)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_549_add__neg__nonpos,axiom, % 1.78/1.94 ! [B_9,A_10] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_10),zero_zero_nat)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_9),zero_zero_nat)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_10),B_9)),zero_zero_nat)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_550_add__neg__nonpos,axiom, % 1.78/1.94 ! [B_9,A_10] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_10),zero_zero_int)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_9),zero_zero_int)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_10),B_9)),zero_zero_int)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_551_add__nonpos__neg,axiom, % 1.78/1.94 ! [B_8,A_9] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_9),zero_zero_real)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_8),zero_zero_real)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_9),B_8)),zero_zero_real)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_552_add__nonpos__neg,axiom, % 1.78/1.94 ! [B_8,A_9] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_9),zero_zero_nat)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_8),zero_zero_nat)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_9),B_8)),zero_zero_nat)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_553_add__nonpos__neg,axiom, % 1.78/1.94 ! [B_8,A_9] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_9),zero_zero_int)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_8),zero_zero_int)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_9),B_8)),zero_zero_int)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_554_power__less__imp__less__base,axiom, % 1.78/1.94 ! [A_8,N_4,B_7] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_8),N_4)),hAPP_nat_real(power_power_real(B_7),N_4))) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_7)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_8),B_7)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_555_power__less__imp__less__base,axiom, % 1.78/1.94 ! [A_8,N_4,B_7] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_8),N_4)),hAPP_nat_nat(power_power_nat(B_7),N_4))) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B_7)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_8),B_7)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_556_power__less__imp__less__base,axiom, % 1.78/1.94 ! [A_8,N_4,B_7] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_8),N_4)),hAPP_nat_int(power_power_int(B_7),N_4))) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_7)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_8),B_7)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_557_eq__0__number__of,axiom, % 1.78/1.94 ! [Va] : % 1.78/1.94 ( zero_zero_nat = number_number_of_nat(Va) % 1.78/1.94 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Va),pls)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_558_eq__number__of__0,axiom, % 1.78/1.94 ! [Va] : % 1.78/1.94 ( number_number_of_nat(Va) = zero_zero_nat % 1.78/1.94 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Va),pls)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_559_rel__simps_I5_J,axiom, % 1.78/1.94 ! [K_2] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(K_2))) % 1.78/1.94 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),K_2)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_560_rel__simps_I29_J,axiom, % 1.78/1.94 ! [K_2] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K_2)),pls)) % 1.78/1.94 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),pls)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_561_rel__simps_I15_J,axiom, % 1.78/1.94 ! [K_2,L_1] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K_2)),bit1(L_1))) % 1.78/1.94 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K_2),L_1)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_562_less__int__code_I14_J,axiom, % 1.78/1.94 ! [K1,K2] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit1(K2))) % 1.78/1.94 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K1),K2)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_563_rel__simps_I33_J,axiom, % 1.78/1.94 ! [K_2,L_1] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K_2)),bit0(L_1))) % 1.78/1.94 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_564_less__eq__int__code_I15_J,axiom, % 1.78/1.94 ! [K1,K2] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K1)),bit0(K2))) % 1.78/1.94 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_565_int__one__le__iff__zero__less,axiom, % 1.78/1.94 ! [Z_3] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),Z_3)) % 1.78/1.94 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_3)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_566_int__le__0__conv,axiom, % 1.78/1.94 ! [Na] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,Na)),zero_zero_int)) % 1.78/1.94 <=> Na = zero_zero_nat ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_567_succ__Pls,axiom, % 1.78/1.94 succ(pls) = bit1(pls) ). % 1.78/1.94 % 1.78/1.94 fof(fact_568_succ__Bit0,axiom, % 1.78/1.94 ! [K] : succ(bit0(K)) = bit1(K) ). % 1.78/1.94 % 1.78/1.94 fof(fact_569_succ__Bit1,axiom, % 1.78/1.94 ! [K] : succ(bit1(K)) = bit0(succ(K)) ). % 1.78/1.94 % 1.78/1.94 fof(fact_570_zle__add1__eq__le,axiom, % 1.78/1.94 ! [Wa,Z_3] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),hAPP_int_int(plus_plus_int(Z_3),one_one_int))) % 1.78/1.94 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Wa),Z_3)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_571_add1__zle__eq,axiom, % 1.78/1.94 ! [Wa,Z_3] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(Wa),one_one_int)),Z_3)) % 1.78/1.94 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_3)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_572_zless__imp__add1__zle,axiom, % 1.78/1.94 ! [W,Z_2] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z_2)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(W),one_one_int)),Z_2)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_573_succ__def,axiom, % 1.78/1.94 ! [K] : succ(K) = hAPP_int_int(plus_plus_int(K),one_one_int) ). % 1.78/1.94 % 1.78/1.94 fof(fact_574_power__eq__imp__eq__base,axiom, % 1.78/1.94 ! [A_7,N_3,B_6] : % 1.78/1.94 ( hAPP_nat_real(power_power_real(A_7),N_3) = hAPP_nat_real(power_power_real(B_6),N_3) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_7)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_6)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_3)) % 1.78/1.94 => A_7 = B_6 ) ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_575_power__eq__imp__eq__base,axiom, % 1.78/1.94 ! [A_7,N_3,B_6] : % 1.78/1.94 ( hAPP_nat_nat(power_power_nat(A_7),N_3) = hAPP_nat_nat(power_power_nat(B_6),N_3) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_7)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B_6)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_3)) % 1.78/1.94 => A_7 = B_6 ) ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_576_power__eq__imp__eq__base,axiom, % 1.78/1.94 ! [A_7,N_3,B_6] : % 1.78/1.94 ( hAPP_nat_int(power_power_int(A_7),N_3) = hAPP_nat_int(power_power_int(B_6),N_3) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_7)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_6)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_3)) % 1.78/1.94 => A_7 = B_6 ) ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_577_semiring__add__number__of,axiom, % 1.78/1.94 ! [V_3,V_2] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_2)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_3)) % 1.78/1.94 => hAPP_real_real(plus_plus_real(number267125858f_real(V_2)),number267125858f_real(V_3)) = number267125858f_real(hAPP_int_int(plus_plus_int(V_2),V_3)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_578_semiring__add__number__of,axiom, % 1.78/1.94 ! [V_3,V_2] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_2)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_3)) % 1.78/1.94 => hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_2)),number_number_of_nat(V_3)) = number_number_of_nat(hAPP_int_int(plus_plus_int(V_2),V_3)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_579_semiring__add__number__of,axiom, % 1.78/1.94 ! [V_3,V_2] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_2)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_3)) % 1.78/1.94 => hAPP_int_int(plus_plus_int(number_number_of_int(V_2)),number_number_of_int(V_3)) = number_number_of_int(hAPP_int_int(plus_plus_int(V_2),V_3)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_580_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 1.78/1.94 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit1(bit1(pls))))) ). % 1.78/1.94 % 1.78/1.94 fof(fact_581_le__imp__0__less,axiom, % 1.78/1.94 ! [Z_2] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z_2)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),Z_2))) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_582_number__of__succ,axiom, % 1.78/1.94 ! [K_3] : number267125858f_real(succ(K_3)) = hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(K_3)) ). % 1.78/1.94 % 1.78/1.94 fof(fact_583_number__of__succ,axiom, % 1.78/1.94 ! [K_3] : number_number_of_int(succ(K_3)) = hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(K_3)) ). % 1.78/1.94 % 1.78/1.94 fof(fact_584_add__Bit1__Bit1,axiom, % 1.78/1.94 ! [K,L] : hAPP_int_int(plus_plus_int(bit1(K)),bit1(L)) = bit0(hAPP_int_int(plus_plus_int(K),succ(L))) ). % 1.78/1.94 % 1.78/1.94 fof(fact_585_power__strict__mono,axiom, % 1.78/1.94 ! [N_2,A_6,B_5] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_6),B_5)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_6)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_6),N_2)),hAPP_nat_real(power_power_real(B_5),N_2))) ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_586_power__strict__mono,axiom, % 1.78/1.94 ! [N_2,A_6,B_5] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),B_5)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_6)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_6),N_2)),hAPP_nat_nat(power_power_nat(B_5),N_2))) ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_587_power__strict__mono,axiom, % 1.78/1.94 ! [N_2,A_6,B_5] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_6),B_5)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_6)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_6),N_2)),hAPP_nat_int(power_power_int(B_5),N_2))) ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_588_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 1.78/1.94 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit0(bit1(pls))))) ). % 1.78/1.94 % 1.78/1.94 fof(fact_589_power2__ge__self,axiom, % 1.78/1.94 ! [X] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X),hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls)))))) ). % 1.78/1.94 % 1.78/1.94 fof(fact_590_zero__le__power2,axiom, % 1.78/1.94 ! [A_5] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(A_5),number_number_of_nat(bit0(bit1(pls)))))) ). % 1.78/1.94 % 1.78/1.94 fof(fact_591_zero__le__power2,axiom, % 1.78/1.94 ! [A_5] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(A_5),number_number_of_nat(bit0(bit1(pls)))))) ). % 1.78/1.94 % 1.78/1.94 fof(fact_592_power2__le__imp__le,axiom, % 1.78/1.94 ! [X_11,Y_10] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X_11),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_10),number_number_of_nat(bit0(bit1(pls)))))) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),Y_10)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_11),Y_10)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_593_power2__le__imp__le,axiom, % 1.78/1.94 ! [X_11,Y_10] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X_11),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(Y_10),number_number_of_nat(bit0(bit1(pls)))))) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),Y_10)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_11),Y_10)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_594_power2__le__imp__le,axiom, % 1.78/1.94 ! [X_11,Y_10] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X_11),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_10),number_number_of_nat(bit0(bit1(pls)))))) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y_10)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_11),Y_10)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_595_power2__eq__imp__eq,axiom, % 1.78/1.94 ! [X_10,Y_9] : % 1.78/1.94 ( hAPP_nat_real(power_power_real(X_10),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_real(power_power_real(Y_9),number_number_of_nat(bit0(bit1(pls)))) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X_10)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),Y_9)) % 1.78/1.94 => X_10 = Y_9 ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_596_power2__eq__imp__eq,axiom, % 1.78/1.94 ! [X_10,Y_9] : % 1.78/1.94 ( hAPP_nat_nat(power_power_nat(X_10),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(power_power_nat(Y_9),number_number_of_nat(bit0(bit1(pls)))) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X_10)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),Y_9)) % 1.78/1.94 => X_10 = Y_9 ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_597_power2__eq__imp__eq,axiom, % 1.78/1.94 ! [X_10,Y_9] : % 1.78/1.94 ( hAPP_nat_int(power_power_int(X_10),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_int(power_power_int(Y_9),number_number_of_nat(bit0(bit1(pls)))) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_10)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y_9)) % 1.78/1.94 => X_10 = Y_9 ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_598_of__nat__number__of__lemma,axiom, % 1.78/1.94 ! [V_1] : % 1.78/1.94 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(V_1))) % 1.78/1.94 => hAPP_nat_real(semiri132038758t_real,number_number_of_nat(V_1)) = number267125858f_real(V_1) ) % 1.78/1.94 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(V_1))) % 1.78/1.94 => hAPP_nat_real(semiri132038758t_real,number_number_of_nat(V_1)) = zero_zero_real ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_599_of__nat__number__of__lemma,axiom, % 1.78/1.94 ! [V_1] : % 1.78/1.94 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(V_1))) % 1.78/1.94 => hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V_1)) = number_number_of_int(V_1) ) % 1.78/1.94 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(V_1))) % 1.78/1.94 => hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V_1)) = zero_zero_int ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_600_power2__less__imp__less,axiom, % 1.78/1.94 ! [X_9,Y_8] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X_9),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_8),number_number_of_nat(bit0(bit1(pls)))))) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),Y_8)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_9),Y_8)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_601_power2__less__imp__less,axiom, % 1.78/1.94 ! [X_9,Y_8] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X_9),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(Y_8),number_number_of_nat(bit0(bit1(pls)))))) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),Y_8)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_9),Y_8)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_602_power2__less__imp__less,axiom, % 1.78/1.94 ! [X_9,Y_8] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X_9),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_8),number_number_of_nat(bit0(bit1(pls)))))) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y_8)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_9),Y_8)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_603_sum__power2__ge__zero,axiom, % 1.78/1.94 ! [X_8,Y_7] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_8),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_7),number_number_of_nat(bit0(bit1(pls))))))) ). % 1.78/1.94 % 1.78/1.94 fof(fact_604_sum__power2__ge__zero,axiom, % 1.78/1.94 ! [X_8,Y_7] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X_8),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_7),number_number_of_nat(bit0(bit1(pls))))))) ). % 1.78/1.94 % 1.78/1.94 fof(fact_605_sum__power2__le__zero__iff,axiom, % 1.78/1.94 ! [Xa,Ya] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)) % 1.78/1.94 <=> ( Xa = zero_zero_real % 1.78/1.94 & Ya = zero_zero_real ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_606_sum__power2__le__zero__iff,axiom, % 1.78/1.94 ! [Xa,Ya] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int)) % 1.78/1.94 <=> ( Xa = zero_zero_int % 1.78/1.94 & Ya = zero_zero_int ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_607_int__pos__lt__two__imp__zero__or__one,axiom, % 1.78/1.94 ! [X] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),number_number_of_int(bit0(bit1(pls))))) % 1.78/1.94 => ( X = zero_zero_int % 1.78/1.94 | X = one_one_int ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_608_number__of1,axiom, % 1.78/1.94 ! [N_1] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(N_1))) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit0(N_1)))) % 1.78/1.94 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit1(N_1)))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_609_number__of2,axiom, % 1.78/1.94 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(pls))) ). % 1.78/1.94 % 1.78/1.94 fof(fact_610_zero__le__imp__eq__int,axiom, % 1.78/1.94 ! [K] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),K)) % 1.78/1.94 => ? [N] : K = hAPP_nat_int(semiri1621563631at_int,N) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_611_nonneg__int__cases,axiom, % 1.78/1.94 ! [K] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),K)) % 1.78/1.94 => ~ ! [N] : K != hAPP_nat_int(semiri1621563631at_int,N) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_612_le0,axiom, % 1.78/1.94 ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),N_1)) ). % 1.78/1.94 % 1.78/1.94 fof(fact_613_less__eq__nat_Osimps_I1_J,axiom, % 1.78/1.94 ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),N_1)) ). % 1.78/1.94 % 1.78/1.94 fof(fact_614_le__0__eq,axiom, % 1.78/1.94 ! [Na] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),zero_zero_nat)) % 1.78/1.94 <=> Na = zero_zero_nat ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_615_less__or__eq__imp__le,axiom, % 1.78/1.94 ! [M_1,N_1] : % 1.78/1.94 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)) % 1.78/1.94 | M_1 = N_1 ) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_616_le__neq__implies__less,axiom, % 1.78/1.94 ! [M_1,N_1] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)) % 1.78/1.94 => ( M_1 != N_1 % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_617_less__imp__le__nat,axiom, % 1.78/1.94 ! [M_1,N_1] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_618_le__eq__less__or__eq,axiom, % 1.78/1.94 ! [Ma,Na] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) % 1.78/1.94 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) % 1.78/1.94 | Ma = Na ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_619_nat__less__le,axiom, % 1.78/1.94 ! [Ma,Na] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) % 1.78/1.94 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) % 1.78/1.94 & Ma != Na ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_620_le__refl,axiom, % 1.78/1.94 ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),N_1)) ). % 1.78/1.94 % 1.78/1.94 fof(fact_621_nat__le__linear,axiom, % 1.78/1.94 ! [M_1,N_1] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)) % 1.78/1.94 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M_1)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_622_eq__imp__le,axiom, % 1.78/1.94 ! [M_1,N_1] : % 1.78/1.94 ( M_1 = N_1 % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_623_le__trans,axiom, % 1.78/1.94 ! [K,I_2,J_2] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_2)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_2),K)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),K)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_624_le__antisym,axiom, % 1.78/1.94 ! [M_1,N_1] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M_1)) % 1.78/1.94 => M_1 = N_1 ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_625_less__eq__real__def,axiom, % 1.78/1.94 ! [Xa,Ya] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Xa),Ya)) % 1.78/1.94 <=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya)) % 1.78/1.94 | Xa = Ya ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_626_real__less__def,axiom, % 1.78/1.94 ! [Xa,Ya] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya)) % 1.78/1.94 <=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Xa),Ya)) % 1.78/1.94 & Xa != Ya ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_627_le__add2,axiom, % 1.78/1.94 ! [N_1,M_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),hAPP_nat_nat(plus_plus_nat(M_1),N_1))) ). % 1.78/1.94 % 1.78/1.94 fof(fact_628_le__add1,axiom, % 1.78/1.94 ! [N_1,M_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),hAPP_nat_nat(plus_plus_nat(N_1),M_1))) ). % 1.78/1.94 % 1.78/1.94 fof(fact_629_le__iff__add,axiom, % 1.78/1.94 ! [Ma,Na] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) % 1.78/1.94 <=> ? [K_1] : Na = hAPP_nat_nat(plus_plus_nat(Ma),K_1) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_630_nat__add__left__cancel__le,axiom, % 1.78/1.94 ! [K_2,Ma,Na] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(K_2),Ma)),hAPP_nat_nat(plus_plus_nat(K_2),Na))) % 1.78/1.94 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_631_trans__le__add1,axiom, % 1.78/1.94 ! [M_1,I_2,J_2] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_2)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),hAPP_nat_nat(plus_plus_nat(J_2),M_1))) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_632_trans__le__add2,axiom, % 1.78/1.94 ! [M_1,I_2,J_2] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_2)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),hAPP_nat_nat(plus_plus_nat(M_1),J_2))) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_633_add__le__mono1,axiom, % 1.78/1.94 ! [K,I_2,J_2] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_2)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(I_2),K)),hAPP_nat_nat(plus_plus_nat(J_2),K))) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_634_add__le__mono,axiom, % 1.78/1.94 ! [K,L,I_2,J_2] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_2)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),L)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(I_2),K)),hAPP_nat_nat(plus_plus_nat(J_2),L))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_635_add__leD2,axiom, % 1.78/1.94 ! [M_1,K,N_1] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(M_1),K)),N_1)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),N_1)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_636_add__leD1,axiom, % 1.78/1.94 ! [M_1,K,N_1] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(M_1),K)),N_1)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_637_add__leE,axiom, % 1.78/1.94 ! [M_1,K,N_1] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(M_1),K)),N_1)) % 1.78/1.94 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_1),N_1)) % 1.78/1.94 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),N_1)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_638_real__add__left__mono,axiom, % 1.78/1.94 ! [Z_2,X,Y] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X),Y)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(Z_2),X)),hAPP_real_real(plus_plus_real(Z_2),Y))) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_639_Nat__Transfer_Otransfer__int__nat__relations_I3_J,axiom, % 1.78/1.94 ! [Xa,Ya] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya))) % 1.78/1.94 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Xa),Ya)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_640_zle__int,axiom, % 1.78/1.94 ! [Ma,Na] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na))) % 1.78/1.94 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_641_le__nat__number__of,axiom, % 1.78/1.94 ! [Va,V] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(Va)),number_number_of_nat(V))) % 1.78/1.94 <=> ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Va),V)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Va),pls)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_642_two__realpow__ge__one,axiom, % 1.78/1.94 ! [N_1] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),N_1))) ). % 1.78/1.94 % 1.78/1.94 fof(fact_643_conj__le__cong,axiom, % 1.78/1.94 ! [P_2,P_1,Xa] : % 1.78/1.94 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa)) % 1.78/1.94 => ( hBOOL(P_1) % 1.78/1.94 <=> hBOOL(P_2) ) ) % 1.78/1.94 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa)) % 1.78/1.94 & hBOOL(P_1) ) % 1.78/1.94 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa)) % 1.78/1.94 & hBOOL(P_2) ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_644_imp__le__cong,axiom, % 1.78/1.94 ! [P_2,P_1,Xa] : % 1.78/1.94 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa)) % 1.78/1.94 => ( hBOOL(P_1) % 1.78/1.94 <=> hBOOL(P_2) ) ) % 1.78/1.94 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa)) % 1.78/1.94 => hBOOL(P_1) ) % 1.78/1.94 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa)) % 1.78/1.94 => hBOOL(P_2) ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_645_ex__least__nat__less,axiom, % 1.78/1.94 ! [Na,P_1] : % 1.78/1.94 ( ~ hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(P_1,Na)) % 1.78/1.94 => ? [K_1] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),Na)) % 1.78/1.94 & ! [I_1] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),K_1)) % 1.78/1.94 => ~ hBOOL(hAPP_nat_bool(P_1,I_1)) ) % 1.78/1.94 & hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(plus_plus_nat(K_1),one_one_nat))) ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_646_nonneg__eq__int,axiom, % 1.78/1.94 ! [Z_2] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z_2)) % 1.78/1.94 => ~ ! [M] : Z_2 != hAPP_nat_int(semiri1621563631at_int,M) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_647_mono__nat__linear__lb,axiom, % 1.78/1.94 ! [Ma,K_2,F] : % 1.78/1.94 ( ! [M,N] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,M)),hAPP_nat_nat(F,N))) ) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(F,Ma)),K_2)),hAPP_nat_nat(F,hAPP_nat_nat(plus_plus_nat(Ma),K_2)))) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_648_real__le__refl,axiom, % 1.78/1.94 ! [W] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,W),W)) ). % 1.78/1.94 % 1.78/1.94 fof(fact_649_real__le__linear,axiom, % 1.78/1.94 ! [Z_2,W] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Z_2),W)) % 1.78/1.94 | hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,W),Z_2)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_650_real__le__trans,axiom, % 1.78/1.94 ! [K,I_2,J_2] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,I_2),J_2)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,J_2),K)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,I_2),K)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_651_real__le__antisym,axiom, % 1.78/1.94 ! [Z_2,W] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Z_2),W)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,W),Z_2)) % 1.78/1.94 => Z_2 = W ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_652_int__ge__induct,axiom, % 1.78/1.94 ! [P_1,K_2,I] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K_2),I)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(P_1,K_2)) % 1.78/1.94 => ( ! [I_1] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K_2),I_1)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(P_1,I_1)) % 1.78/1.94 => hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(I_1),one_one_int))) ) ) % 1.78/1.94 => hBOOL(hAPP_int_bool(P_1,I)) ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_653_ex__least__nat__le,axiom, % 1.78/1.94 ! [Na,P_1] : % 1.78/1.94 ( ~ hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(P_1,Na)) % 1.78/1.94 => ? [K_1] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),Na)) % 1.78/1.94 & ! [I_1] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),K_1)) % 1.78/1.94 => ~ hBOOL(hAPP_nat_bool(P_1,I_1)) ) % 1.78/1.94 & hBOOL(hAPP_nat_bool(P_1,K_1)) ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_654_less__mono__imp__le__mono,axiom, % 1.78/1.94 ! [I,J,F] : % 1.78/1.94 ( ! [I_1,J_1] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_1)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,I_1)),hAPP_nat_nat(F,J_1))) ) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),J)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(F,I)),hAPP_nat_nat(F,J))) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_655_order__refl,axiom, % 1.78/1.94 ! [X_7] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_7),X_7)) ). % 1.78/1.94 % 1.78/1.94 fof(fact_656_order__refl,axiom, % 1.78/1.94 ! [X_7] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_7),X_7)) ). % 1.78/1.94 % 1.78/1.94 fof(fact_657_order__refl,axiom, % 1.78/1.94 ! [X_7] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_7),X_7)) ). % 1.78/1.94 % 1.78/1.94 fof(fact_658_linorder__le__cases,axiom, % 1.78/1.94 ! [X_6,Y_6] : % 1.78/1.94 ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_6),Y_6)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Y_6),X_6)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_659_linorder__le__cases,axiom, % 1.78/1.94 ! [X_6,Y_6] : % 1.78/1.94 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_6),Y_6)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_6),X_6)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_660_linorder__le__cases,axiom, % 1.78/1.94 ! [X_6,Y_6] : % 1.78/1.94 ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_6),Y_6)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_6),X_6)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_661_xt1_I6_J,axiom, % 1.78/1.94 ! [Z_1,Y_5,X_5] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Y_5),X_5)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Z_1),Y_5)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Z_1),X_5)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_662_xt1_I6_J,axiom, % 1.78/1.94 ! [Z_1,Y_5,X_5] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_5),X_5)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Z_1),Y_5)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Z_1),X_5)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_663_xt1_I6_J,axiom, % 1.78/1.94 ! [Z_1,Y_5,X_5] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_5),X_5)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_1),Y_5)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_1),X_5)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_664_xt1_I5_J,axiom, % 1.78/1.94 ! [Y_4,X_4] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Y_4),X_4)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_4),Y_4)) % 1.78/1.94 => X_4 = Y_4 ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_665_xt1_I5_J,axiom, % 1.78/1.94 ! [Y_4,X_4] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_4),X_4)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_4),Y_4)) % 1.78/1.94 => X_4 = Y_4 ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_666_xt1_I5_J,axiom, % 1.78/1.94 ! [Y_4,X_4] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_4),X_4)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_4),Y_4)) % 1.78/1.94 => X_4 = Y_4 ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_667_order__trans,axiom, % 1.78/1.94 ! [Z,X_3,Y_3] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_3),Y_3)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Y_3),Z)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_3),Z)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_668_order__trans,axiom, % 1.78/1.94 ! [Z,X_3,Y_3] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_3),Y_3)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_3),Z)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_3),Z)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_669_order__trans,axiom, % 1.78/1.94 ! [Z,X_3,Y_3] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_3),Y_3)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_3),Z)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_3),Z)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_670_order__antisym,axiom, % 1.78/1.94 ! [X_2,Y_2] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_2),Y_2)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Y_2),X_2)) % 1.78/1.94 => X_2 = Y_2 ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_671_order__antisym,axiom, % 1.78/1.94 ! [X_2,Y_2] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),Y_2)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Y_2),X_2)) % 1.78/1.94 => X_2 = Y_2 ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_672_order__antisym,axiom, % 1.78/1.94 ! [X_2,Y_2] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_2),Y_2)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_2),X_2)) % 1.78/1.94 => X_2 = Y_2 ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_673_xt1_I4_J,axiom, % 1.78/1.94 ! [C_3,B_4,A_4] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_4),A_4)) % 1.78/1.94 => ( B_4 = C_3 % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_3),A_4)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_674_xt1_I4_J,axiom, % 1.78/1.94 ! [C_3,B_4,A_4] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_4),A_4)) % 1.78/1.94 => ( B_4 = C_3 % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_3),A_4)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_675_xt1_I4_J,axiom, % 1.78/1.94 ! [C_3,B_4,A_4] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_4),A_4)) % 1.78/1.94 => ( B_4 = C_3 % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_3),A_4)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_676_ord__le__eq__trans,axiom, % 1.78/1.94 ! [C_2,A_3,B_3] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_3),B_3)) % 1.78/1.94 => ( B_3 = C_2 % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_3),C_2)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_677_ord__le__eq__trans,axiom, % 1.78/1.94 ! [C_2,A_3,B_3] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_3),B_3)) % 1.78/1.94 => ( B_3 = C_2 % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_3),C_2)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_678_ord__le__eq__trans,axiom, % 1.78/1.94 ! [C_2,A_3,B_3] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_3),B_3)) % 1.78/1.94 => ( B_3 = C_2 % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_3),C_2)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_679_xt1_I3_J,axiom, % 1.78/1.94 ! [C_1,A_2,B_2] : % 1.78/1.94 ( A_2 = B_2 % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_1),B_2)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_1),A_2)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_680_xt1_I3_J,axiom, % 1.78/1.94 ! [C_1,A_2,B_2] : % 1.78/1.94 ( A_2 = B_2 % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_1),B_2)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_1),A_2)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_681_xt1_I3_J,axiom, % 1.78/1.94 ! [C_1,A_2,B_2] : % 1.78/1.94 ( A_2 = B_2 % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_1),B_2)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_1),A_2)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_682_ord__eq__le__trans,axiom, % 1.78/1.94 ! [C,A_1,B_1] : % 1.78/1.94 ( A_1 = B_1 % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_1),C)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_1),C)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_683_ord__eq__le__trans,axiom, % 1.78/1.94 ! [C,A_1,B_1] : % 1.78/1.94 ( A_1 = B_1 % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_1),C)) % 1.78/1.94 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_1),C)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_684_ord__eq__le__trans,axiom, % 1.78/1.94 ! [C,A_1,B_1] : % 1.78/1.94 ( A_1 = B_1 % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_1),C)) % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_1),C)) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_685_order__antisym__conv,axiom, % 1.78/1.94 ! [Ya,Xa] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Ya),Xa)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Xa),Ya)) % 1.78/1.94 <=> Xa = Ya ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_686_order__antisym__conv,axiom, % 1.78/1.94 ! [Ya,Xa] : % 1.78/1.94 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ya),Xa)) % 1.78/1.94 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Xa),Ya)) % 1.78/1.94 <=> Xa = Ya ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_687_order__antisym__conv,axiom, % 1.78/1.94 ! [Ya,Xa] : % 1.78/1.94 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Ya),Xa)) % 1.78/1.94 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Xa),Ya)) % 1.78/1.94 <=> Xa = Ya ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_688_order__eq__refl,axiom, % 1.78/1.94 ! [X_1,Y_1] : % 1.78/1.94 ( X_1 = Y_1 % 1.78/1.94 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_1),Y_1)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_689_real__lbound__gt__zero,axiom, % 1.78/1.94 ! [D2,D1] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D1)) % 1.78/1.94 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D2)) % 1.78/1.94 => ? [E] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),E)) % 1.78/1.94 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,E),D1)) % 1.78/1.94 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,E),D2)) ) ) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_690_real__sqrt__sum__squares__ge__zero,axiom, % 1.78/1.94 ! [X,Y] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),sqrt(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y),number_number_of_nat(bit0(bit1(pls)))))))) ). % 1.78/1.94 % 1.78/1.94 fof(fact_691_zadd__power2,axiom, % 1.78/1.94 ! [A,B] : hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(A),B)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),A),B))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))) ). % 1.78/1.94 % 1.78/1.94 fof(fact_692_mult__Bit1,axiom, % 1.78/1.94 ! [K,L] : times_times_int(bit1(K),L) = hAPP_int_int(plus_plus_int(bit0(times_times_int(K,L))),L) ). % 1.78/1.94 % 1.78/1.94 fof(fact_693_real__sqrt__gt__zero,axiom, % 1.78/1.94 ! [X] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X)) % 1.78/1.94 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),sqrt(X))) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_694_real__sqrt__not__eq__zero,axiom, % 1.78/1.94 ! [X] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X)) % 1.78/1.94 => sqrt(X) != zero_zero_real ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_695_real__sqrt__lt__0__iff,axiom, % 1.78/1.94 ! [Xa] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(Xa)),zero_zero_real)) % 1.78/1.94 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),zero_zero_real)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_696_real__sqrt__gt__0__iff,axiom, % 1.78/1.94 ! [Ya] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),sqrt(Ya))) % 1.78/1.94 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Ya)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_697_real__sqrt__lt__1__iff,axiom, % 1.78/1.94 ! [Xa] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(Xa)),one_one_real)) % 1.78/1.94 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),one_one_real)) ) ). % 1.78/1.94 % 1.78/1.94 fof(fact_698_real__sqrt__gt__1__iff,axiom, % 1.78/1.94 ! [Ya] : % 1.78/1.94 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),sqrt(Ya))) % 1.78/1.94 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Ya)) ) ). % 1.78/1.94 % 1.78/1.94 %----Helper facts (3) % 1.78/1.94 fof(help_If_1_1_If_000tc__Nat__Onat_T,axiom, % 1.78/1.94 ! [X,Y] : hAPP_nat_nat(if_nat(fTrue,X),Y) = X ). % 1.78/1.94 % 1.78/1.94 fof(help_If_2_1_If_000tc__Nat__Onat_T,axiom, % 1.78/1.94 ! [X,Y] : hAPP_nat_nat(if_nat(fFalse,X),Y) = Y ). % 1.78/1.94 % 1.78/1.94 fof(help_If_3_1_If_000tc__Nat__Onat_T,axiom, % 1.78/1.94 ! [P] : % 1.78/1.94 ( is_bool(P) % 1.78/1.94 => ( P = fTrue % 1.78/1.94 | P = fFalse ) ) ). % 1.78/1.94 % 1.78/1.94 %----Conjectures (1) % 1.78/1.94 fof(conj_0,conjecture, % 1.78/1.94 hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int ). % 1.78/1.94 % 1.78/1.94 %------------------------------------------------------------------------------ % 1.78/1.94 %------------------------------------------- % 1.78/1.94 % Proof found % 1.78/1.94 % SZS status Theorem for theBenchmark % 1.78/1.94 % SZS output start Proof % 1.94/1.94 %ClaNum:974(EqnAxiom:82) % 1.94/1.94 %VarNum:2250(SingletonVarNum:1017) % 1.94/1.94 %MaxLitNum:5 % 1.94/1.94 %MaxfuncDepth:10 % 1.94/1.94 %SharedTerms:182 % 1.94/1.94 %goalClause: 282 % 1.94/1.94 %singleGoalClaCount:1 % 1.94/1.94 [87]E(a1,a51) % 1.94/1.94 [94]P1(a3) % 1.94/1.94 [95]P1(a26) % 1.94/1.94 [300]~E(a43,a51) % 1.94/1.94 [303]~E(a44,a65) % 1.94/1.94 [305]~E(a42,a66) % 1.94/1.94 [91]E(f41(a1),a66) % 1.94/1.94 [93]E(f2(a1),a65) % 1.94/1.94 [99]E(f27(a52,a42),a43) % 1.94/1.94 [101]E(f27(a52,a66),a51) % 1.94/1.94 [102]E(f33(a53,a42),a44) % 1.94/1.94 [103]E(f33(a53,a66),a65) % 1.94/1.94 [104]E(f34(a60,a42),a42) % 1.94/1.94 [105]E(f34(a60,a66),a66) % 1.94/1.94 [165]P2(f29(f30(a45,a51),a43)) % 1.94/1.94 [166]P2(f29(f30(a45,a43),a61)) % 1.94/1.94 [169]P2(f29(f30(a46,a51),a43)) % 1.94/1.94 [170]P2(f29(f30(a46,a51),a1)) % 1.94/1.94 [171]P2(f29(f30(a46,a43),a61)) % 1.94/1.94 [173]P2(f31(f32(a49,a66),a39)) % 1.94/1.94 [174]P2(f31(f32(a49,a66),a42)) % 1.94/1.94 [175]P2(f31(f32(a49,a66),a63)) % 1.94/1.94 [177]P2(f36(f37(a50,a65),a44)) % 1.94/1.94 [178]P2(f36(f37(a48,a65),a44)) % 1.94/1.94 [306]~P2(f29(f30(a45,a43),a51)) % 1.94/1.94 [307]~P2(f29(f30(a45,a1),a51)) % 1.94/1.94 [308]~P2(f29(f30(a45,a1),a1)) % 1.94/1.94 [309]~P2(f29(f30(a46,a43),a51)) % 1.94/1.94 [311]~P2(f31(f32(a47,a42),a66)) % 1.94/1.94 [312]~P2(f36(f37(a50,a44),a65)) % 1.94/1.94 [313]~P2(f36(f37(a48,a44),a65)) % 1.94/1.94 [214]P2(f29(f30(a45,a51),f28(f54(a43),a43))) % 1.94/1.94 [215]P2(f31(f32(a49,a66),f34(f57(a42),a42))) % 1.94/1.94 [216]P2(f36(f37(a50,a65),f35(f56(a44),a44))) % 1.94/1.94 [252]P2(f29(f30(a45,a51),f28(f54(a43),f27(a52,a39)))) % 1.94/1.94 [253]P2(f29(f30(a45,a40),f28(f54(a43),f27(a52,a39)))) % 1.94/1.94 [190]E(f28(f54(f28(f54(a1),a1)),a43),a43) % 1.94/1.94 [193]E(f28(f54(f28(f54(a1),a1)),a43),f28(f54(a1),a43)) % 1.94/1.94 [242]E(f41(f28(f54(f28(f54(a1),a1)),a43)),a42) % 1.94/1.94 [244]E(f2(f28(f54(f28(f54(a1),a1)),a43)),a44) % 1.94/1.94 [264]E(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)),f28(f54(a43),a43)) % 1.94/1.94 [271]E(f2(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))),f35(f56(a44),a44)) % 1.94/1.94 [273]E(f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))),f34(f57(a42),a42)) % 1.94/1.94 [281]P2(f29(f30(a46,a51),f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))) % 1.94/1.94 [275]E(f27(f55(a51),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))),a51) % 1.94/1.94 [277]E(f33(f58(a65),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))),a65) % 1.94/1.94 [280]E(f34(f59(a66),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))),a66) % 1.94/1.94 [282]E(f27(f55(f28(f54(a43),f27(a52,a39))),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))),a51) % 1.94/1.94 [283]E(f27(a52,f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))),f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))) % 1.94/1.94 [284]P2(f31(f32(a49,a66),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))) % 1.94/1.94 [285]P2(f29(f30(a46,a51),f28(f54(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))),a43))) % 1.94/1.94 [290]E(f27(a52,f41(f28(f54(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))),a43))),f28(f54(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))),a43)) % 1.94/1.94 [107]E(f27(f55(a43),x1071),a43) % 1.94/1.94 [108]E(f33(f58(a44),x1081),a44) % 1.94/1.94 [109]E(f34(f59(a42),x1091),a42) % 1.94/1.94 [113]E(f28(f54(a51),x1131),x1131) % 1.94/1.94 [115]E(f28(f54(a1),x1151),x1151) % 1.94/1.94 [118]E(f35(f56(a65),x1181),x1181) % 1.94/1.94 [122]E(f34(f57(a66),x1221),x1221) % 1.94/1.94 [124]E(f27(f55(x1241),a66),a43) % 1.94/1.94 [126]E(f33(f58(x1261),a66),a44) % 1.94/1.94 [128]E(f34(f59(x1281),a66),a42) % 1.94/1.94 [130]E(f27(f55(x1301),a42),x1301) % 1.94/1.94 [134]E(f28(f54(x1341),a51),x1341) % 1.94/1.94 [136]E(f28(f54(x1361),a1),x1361) % 1.94/1.94 [138]E(f33(f58(x1381),a42),x1381) % 1.94/1.94 [141]E(f35(f56(x1411),a65),x1411) % 1.94/1.94 [143]E(f34(f59(x1431),a42),x1431) % 1.94/1.94 [147]E(f34(f57(x1471),a66),x1471) % 1.94/1.94 [148]E(f35(f56(x1481),f2(a1)),x1481) % 1.94/1.94 [156]E(f41(f27(a52,x1561)),f34(a60,x1561)) % 1.94/1.94 [157]E(f2(f27(a52,x1571)),f33(a53,x1571)) % 1.94/1.94 [180]P2(f31(f32(a47,a66),x1801)) % 1.94/1.94 [182]P2(f29(f30(a46,x1821),x1821)) % 1.94/1.94 [184]P2(f31(f32(a47,x1841),x1841)) % 1.94/1.94 [186]P2(f36(f37(a48,x1861),x1861)) % 1.94/1.94 [198]P2(f29(f30(a46,a51),f27(a52,x1981))) % 1.94/1.94 [202]P2(f36(f37(a48,a65),f33(a53,x2021))) % 1.94/1.94 [316]~P2(f31(f32(a49,x3161),a66)) % 1.94/1.94 [318]~P2(f31(f32(a49,x3181),x3181)) % 1.94/1.94 [149]E(f35(f56(f2(a1)),x1491),x1491) % 1.94/1.94 [163]E(f2(f28(f54(x1631),a43)),f35(f56(a44),f2(x1631))) % 1.94/1.94 [222]P2(f29(f30(a45,x2221),f28(f54(x2221),a43))) % 1.94/1.94 [223]P2(f31(f32(a49,x2231),f34(f57(x2231),a42))) % 1.94/1.94 [224]P2(f36(f37(a50,x2241),f35(f56(x2241),a44))) % 1.94/1.94 [245]E(f35(f56(f35(f56(a65),f2(x2451))),f2(x2451)),f2(f28(f54(x2451),x2451))) % 1.94/1.94 [325]~P2(f29(f30(a45,f27(a52,x3251)),a51)) % 1.94/1.94 [327]~P2(f36(f37(a50,f33(a53,x3271)),a65)) % 1.94/1.94 [194]E(f28(f54(f28(f54(a51),x1941)),x1941),f28(f54(x1941),x1941)) % 1.94/1.94 [247]E(f28(f54(f28(f54(x2471),x2471)),a43),f28(f54(f28(f54(a43),x2471)),x2471)) % 1.94/1.94 [319]~E(f28(f54(f28(f54(a43),x3191)),x3191),a51) % 1.94/1.94 [321]~E(f28(f54(f28(f54(x3211),x3211)),a43),a1) % 1.94/1.94 [248]E(f28(f54(x2481),f28(f54(f28(f54(a1),a1)),a43)),f28(f54(x2481),a43)) % 1.94/1.94 [259]E(f35(f56(f35(f56(a44),f2(x2591))),f2(x2591)),f2(f28(f54(f28(f54(x2591),x2591)),a43))) % 1.94/1.94 [260]E(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),x2601),f28(f54(a43),x2601)) % 1.94/1.94 [261]E(f2(f28(f54(x2611),f28(f54(f28(f54(a1),a1)),a43))),f35(f56(f2(x2611)),a44)) % 1.94/1.94 [265]E(f28(f54(f28(f54(f28(f54(x2651),x2651)),a43)),a43),f28(f54(f28(f54(x2651),a43)),f28(f54(x2651),a43))) % 1.94/1.94 [267]E(f2(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),x2671)),f35(f56(a44),f2(x2671))) % 1.94/1.94 [286]P2(f29(f30(a46,a51),f27(f55(x2861),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))) % 1.94/1.94 [287]P2(f36(f37(a48,a65),f33(f58(x2871),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))) % 1.94/1.94 [288]P2(f29(f30(a46,x2881),f27(f55(x2881),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))) % 1.94/1.94 [289]P2(f29(f30(a45,f27(a52,x2891)),f27(f55(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))),x2891))) % 1.94/1.94 [293]E(f27(f55(f27(f55(x2931),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))),f27(f55(x2931),f41(f28(f54(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))),f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))) % 1.94/1.94 [291]P2(f36(f37(a48,a44),f33(f58(f2(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))),x2911))) % 1.94/1.94 [292]P2(f36(f37(a50,f33(a53,x2921)),f33(f58(f2(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))),x2921))) % 1.94/1.94 [330]~P2(f29(f30(a45,f27(f55(x3301),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),a51)) % 1.94/1.94 [331]~P2(f36(f37(a50,f33(f58(x3311),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),a65)) % 1.94/1.94 [150]P1(f29(x1501,x1502)) % 1.94/1.94 [151]P1(f31(x1511,x1512)) % 1.94/1.94 [152]P1(f36(x1521,x1522)) % 1.94/1.94 [154]E(f34(f38(a3,x1541),x1542),x1542) % 1.94/1.94 [155]E(f34(f38(a26,x1551),x1552),x1551) % 1.94/1.94 [159]E(f28(f54(x1591),x1592),f28(f54(x1592),x1591)) % 1.94/1.94 [160]E(f35(f56(x1601),x1602),f35(f56(x1602),x1601)) % 1.94/1.94 [162]E(f34(f57(x1621),x1622),f34(f57(x1622),x1621)) % 1.94/1.94 [192]E(f35(f56(f2(x1921)),f2(x1922)),f2(f28(f54(x1921),x1922))) % 1.94/1.94 [205]E(f33(f58(f33(a53,x2051)),x2052),f33(a53,f34(f59(x2051),x2052))) % 1.94/1.94 [206]E(f34(f59(f34(a60,x2061)),x2062),f34(a60,f34(f59(x2061),x2062))) % 1.94/1.94 [208]E(f27(f55(f27(a52,x2081)),x2082),f27(a52,f34(f59(x2081),x2082))) % 1.94/1.94 [218]E(f35(f56(f33(a53,x2181)),f33(a53,x2182)),f33(a53,f34(f57(x2181),x2182))) % 1.94/1.94 [219]E(f34(f57(f34(a60,x2191)),f34(a60,x2192)),f34(a60,f34(f57(x2191),x2192))) % 1.94/1.94 [221]E(f28(f54(f27(a52,x2211)),f27(a52,x2212)),f27(a52,f34(f57(x2211),x2212))) % 1.94/1.94 [225]P2(f31(f32(a47,x2251),f34(f57(x2252),x2251))) % 1.94/1.94 [226]P2(f31(f32(a47,x2261),f34(f57(x2261),x2262))) % 1.94/1.94 [323]~E(f28(f54(x3231),x3231),f28(f54(f28(f54(x3232),x3232)),a43)) % 1.94/1.94 [328]~P2(f31(f32(a49,f34(f57(x3281),x3282)),x3282)) % 1.94/1.94 [329]~P2(f31(f32(a49,f34(f57(x3291),x3292)),x3291)) % 1.94/1.94 [266]E(f28(f54(f28(f54(f64(x2661,x2662)),f64(x2661,x2662))),x2662),f64(f28(f54(f28(f54(x2661),x2661)),a43),x2662)) % 1.94/1.94 [268]E(f28(f54(f28(f54(f28(f54(x2681),x2682)),f28(f54(x2681),x2682))),a43),f28(f54(f28(f54(x2681),x2681)),f28(f54(f28(f54(x2682),x2682)),a43))) % 1.94/1.94 [269]E(f28(f54(f28(f54(f28(f54(x2691),x2691)),a43)),f28(f54(f28(f54(x2692),x2692)),a43)),f28(f54(f28(f54(x2691),f28(f54(x2692),a43))),f28(f54(x2691),f28(f54(x2692),a43)))) % 1.94/1.94 [274]E(f28(f54(f28(f54(f28(f54(x2741),x2742)),f28(f54(x2741),x2742))),a43),f28(f54(f28(f54(f28(f54(x2741),x2741)),a43)),f28(f54(x2742),x2742))) % 1.94/1.94 [296]E(f28(f54(f28(f54(f27(f55(x2961),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f64(f64(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)),x2961),x2962))),f27(f55(x2962),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f27(f55(f28(f54(x2961),x2962)),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))) % 1.94/1.94 [294]P2(f29(f30(a46,a51),f28(f54(f27(f55(x2941),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f27(f55(x2942),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))))) % 1.94/1.94 [295]P2(f36(f37(a48,a65),f35(f56(f33(f58(x2951),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f33(f58(x2952),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))))) % 1.94/1.94 [297]P2(f36(f37(a48,a65),f62(f35(f56(f33(f58(x2971),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f33(f58(x2972),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))))) % 1.94/1.94 [332]~P2(f29(f30(a45,f28(f54(f27(f55(x3321),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f27(f55(x3322),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))),a51)) % 1.94/1.94 [333]~P2(f36(f37(a50,f35(f56(f33(f58(x3331),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f33(f58(x3332),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))),a65)) % 1.94/1.94 [210]E(f28(f54(x2101),f28(f54(x2102),x2103)),f28(f54(x2102),f28(f54(x2101),x2103))) % 1.94/1.94 [211]E(f35(f56(x2111),f35(f56(x2112),x2113)),f35(f56(x2112),f35(f56(x2111),x2113))) % 1.94/1.94 [213]E(f34(f57(x2131),f34(f57(x2132),x2133)),f34(f57(x2132),f34(f57(x2131),x2133))) % 1.94/1.94 [233]E(f28(f54(f28(f54(x2331),x2332)),x2333),f28(f54(x2331),f28(f54(x2332),x2333))) % 1.94/1.94 [235]E(f35(f56(f35(f56(x2351),x2352)),x2353),f35(f56(x2351),f35(f56(x2352),x2353))) % 1.94/1.94 [238]E(f34(f57(f34(f57(x2381),x2382)),x2383),f34(f57(x2381),f34(f57(x2382),x2383))) % 1.94/1.94 [249]E(f28(f54(f28(f54(x2491),x2492)),x2493),f28(f54(f28(f54(x2491),x2493)),x2492)) % 1.94/1.94 [250]E(f35(f56(f35(f56(x2501),x2502)),x2503),f35(f56(f35(f56(x2501),x2503)),x2502)) % 1.94/1.94 [251]E(f34(f57(f34(f57(x2511),x2512)),x2513),f34(f57(f34(f57(x2511),x2513)),x2512)) % 1.94/1.94 [258]E(f35(f56(f2(x2581)),f35(f56(f2(x2582)),x2583)),f35(f56(f2(f28(f54(x2581),x2582))),x2583)) % 1.94/1.94 [262]E(f28(f54(f27(a52,x2621)),f28(f54(f27(a52,x2622)),x2623)),f28(f54(f27(a52,f34(f57(x2621),x2622))),x2623)) % 1.94/1.94 [254]E(f28(f54(f28(f54(x2541),x2542)),f28(f54(x2543),x2544)),f28(f54(f28(f54(x2541),x2543)),f28(f54(x2542),x2544))) % 1.94/1.94 [256]E(f35(f56(f35(f56(x2561),x2562)),f35(f56(x2563),x2564)),f35(f56(f35(f56(x2561),x2563)),f35(f56(x2562),x2564))) % 1.94/1.94 [257]E(f34(f57(f34(f57(x2571),x2572)),f34(f57(x2573),x2574)),f34(f57(f34(f57(x2571),x2573)),f34(f57(x2572),x2574))) % 1.94/1.94 [335]~E(x3351,a66)+E(f27(a52,x3351),a51) % 1.94/1.94 [343]E(x3431,a66)+~E(f27(a52,x3431),a51) % 1.94/1.94 [337]E(x3371,a66)+E(f27(f55(a51),x3371),a51) % 1.94/1.94 [338]E(x3381,a66)+E(f33(f58(a65),x3381),a65) % 1.94/1.94 [339]E(x3391,a66)+E(f34(f59(a66),x3391),a66) % 1.94/1.94 [340]~E(x3401,a66)+E(f27(f55(a51),x3401),a43) % 1.94/1.94 [341]~E(x3411,a66)+E(f33(f58(a65),x3411),a44) % 1.94/1.94 [346]~E(a1,x3461)+E(f28(f54(x3461),x3461),a1) % 1.94/1.94 [347]~E(x3471,a51)+E(f28(f54(x3471),x3471),a51) % 1.94/1.94 [348]~E(x3481,a1)+E(f28(f54(x3481),x3481),a1) % 1.94/1.94 [349]~E(x3491,a65)+E(f35(f56(x3491),x3491),a65) % 1.94/1.94 [373]E(x3731,a51)+~E(f28(f54(x3731),x3731),a51) % 1.94/1.94 [374]E(x3741,a1)+~E(f28(f54(x3741),x3741),a1) % 1.94/1.94 [377]E(x3771,a65)+~E(f35(f56(x3771),x3771),a65) % 1.94/1.94 [382]E(a1,x3821)+~E(f28(f54(x3821),x3821),a1) % 1.94/1.94 [422]E(x4221,a66)+P2(f31(f32(a49,a66),x4221)) % 1.94/1.94 [430]~E(f41(x4301),a66)+P2(f29(f30(a46,x4301),a1)) % 1.94/1.94 [431]E(f27(a52,f41(x4311)),a51)+P2(f29(f30(a46,a51),x4311)) % 1.94/1.94 [432]E(f33(a53,f41(x4321)),a65)+P2(f29(f30(a46,a51),x4321)) % 1.94/1.94 [437]E(x4371,a66)+~P2(f31(f32(a47,x4371),a66)) % 1.94/1.94 [438]~E(f62(x4381),a65)+~P2(f36(f37(a50,a65),x4381)) % 1.94/1.94 [440]E(f41(x4401),a66)+~P2(f29(f30(a46,x4401),a1)) % 1.94/1.94 [449]E(f27(a52,f4(x4491)),x4491)+~P2(f29(f30(a45,a51),x4491)) % 1.94/1.94 [450]E(f27(a52,f5(x4501)),x4501)+~P2(f29(f30(a46,a51),x4501)) % 1.94/1.94 [451]E(f27(a52,f7(x4511)),x4511)+~P2(f29(f30(a46,a51),x4511)) % 1.94/1.94 [452]E(f27(a52,f8(x4521)),x4521)+~P2(f29(f30(a46,a51),x4521)) % 1.94/1.94 [453]E(f27(a52,f41(x4531)),x4531)+~P2(f29(f30(a46,a51),x4531)) % 1.94/1.94 [454]E(f33(a53,f41(x4541)),f2(x4541))+~P2(f29(f30(a46,a51),x4541)) % 1.94/1.94 [456]E(f34(f57(a42),f41(x4561)),a42)+~P2(f29(f30(a45,x4561),a1)) % 1.94/1.94 [490]P2(f29(f30(a45,a51),x4901))+~P2(f29(f30(a45,a1),x4901)) % 1.94/1.94 [491]P2(f29(f30(a45,a51),x4911))+~P2(f29(f30(a46,a43),x4911)) % 1.94/1.94 [492]~P2(f29(f30(a45,a51),x4921))+P2(f29(f30(a45,a1),x4921)) % 1.94/1.94 [493]P2(f29(f30(a46,a51),x4931))+~P2(f29(f30(a46,a1),x4931)) % 1.94/1.94 [494]~P2(f29(f30(a45,a51),x4941))+P2(f29(f30(a46,a43),x4941)) % 1.94/1.94 [495]~P2(f29(f30(a46,a51),x4951))+P2(f29(f30(a46,a1),x4951)) % 1.94/1.94 [498]~P2(f29(f30(a45,x4981),a1))+P2(f29(f30(a45,x4981),a51)) % 1.94/1.94 [499]~P2(f29(f30(a45,x4991),a51))+P2(f29(f30(a45,x4991),a1)) % 1.94/1.94 [500]~P2(f29(f30(a46,x5001),a1))+P2(f29(f30(a46,x5001),a51)) % 1.94/1.94 [501]~P2(f29(f30(a46,x5011),a51))+P2(f29(f30(a46,x5011),a1)) % 1.94/1.94 [502]P2(f31(f32(a49,a66),f41(x5021)))+~P2(f29(f30(a45,a1),x5021)) % 1.94/1.94 [503]P2(f31(f32(a49,a66),f4(x5031)))+~P2(f29(f30(a45,a51),x5031)) % 1.94/1.94 [504]~P2(f29(f30(a45,a1),x5041))+P2(f36(f37(a50,a65),f2(x5041))) % 1.94/1.94 [506]~P2(f36(f37(a50,a65),x5061))+P2(f36(f37(a50,a65),f62(x5061))) % 1.94/1.94 [507]~P2(f36(f37(a50,a44),x5071))+P2(f36(f37(a50,a44),f62(x5071))) % 1.94/1.94 [508]~P2(f29(f30(a46,a1),x5081))+P2(f36(f37(a48,a65),f2(x5081))) % 1.94/1.94 [522]~P2(f31(f32(a49,a66),f41(x5221)))+P2(f29(f30(a45,a1),x5221)) % 1.94/1.94 [523]~P2(f36(f37(a50,a65),f2(x5231)))+P2(f29(f30(a45,a1),x5231)) % 1.94/1.94 [524]P2(f29(f30(a46,a1),x5241))+~P2(f36(f37(a48,a65),f2(x5241))) % 1.94/1.94 [525]~P2(f36(f37(a50,a65),f62(x5251)))+P2(f36(f37(a50,a65),x5251)) % 1.94/1.94 [526]~P2(f36(f37(a50,a44),f62(x5261)))+P2(f36(f37(a50,a44),x5261)) % 1.94/1.94 [536]~P2(f31(f32(a49,a66),x5361))+P2(f29(f30(a45,a51),f27(a52,x5361))) % 1.94/1.94 [537]~P2(f31(f32(a49,a66),x5371))+P2(f31(f32(a49,a66),f34(a60,x5371))) % 1.94/1.94 [538]~P2(f31(f32(a49,a66),x5381))+P2(f36(f37(a50,a65),f33(a53,x5381))) % 1.94/1.94 [569]P2(f31(f32(a49,a66),x5691))+~P2(f29(f30(a45,a51),f27(a52,x5691))) % 1.94/1.94 [570]P2(f31(f32(a49,a66),x5701))+~P2(f31(f32(a49,a66),f34(a60,x5701))) % 1.94/1.94 [571]P2(f31(f32(a49,a66),x5711))+~P2(f36(f37(a50,a65),f33(a53,x5711))) % 1.94/1.94 [455]E(f41(f28(f54(x4551),a43)),f34(f57(a42),f41(x4551)))+P2(f29(f30(a45,x4551),a1)) % 1.94/1.94 [457]E(f41(f28(f54(x4571),a43)),f34(f57(f41(x4571)),a42))+P2(f29(f30(a45,x4571),a1)) % 1.94/1.94 [461]E(f34(f57(f41(x4611)),a42),a42)+~P2(f29(f30(a45,x4611),a1)) % 1.94/1.94 [481]~E(x4811,a66)+P2(f29(f30(a46,f27(a52,x4811)),a51)) % 1.94/1.94 [485]E(f41(f28(f54(x4851),a43)),f34(f57(a42),f41(x4851)))+~P2(f29(f30(a46,a1),x4851)) % 1.94/1.94 [496]E(f2(f28(f54(x4961),a43)),f35(f56(f2(x4961)),a44))+~P2(f29(f30(a46,a1),x4961)) % 1.94/1.94 [497]E(f41(f28(f54(x4971),a43)),f34(f57(f41(x4971)),a42))+~P2(f29(f30(a46,a1),x4971)) % 1.94/1.94 [528]~P2(f29(f30(a45,x5281),a1))+P2(f36(f37(a50,f2(x5281)),a65)) % 1.94/1.94 [529]~P2(f36(f37(a50,x5291),a65))+P2(f36(f37(a50,f62(x5291)),a65)) % 1.94/1.94 [530]~P2(f36(f37(a50,x5301),a44))+P2(f36(f37(a50,f62(x5301)),a44)) % 1.94/1.94 [531]~P2(f29(f30(a46,x5311),a1))+P2(f36(f37(a48,f2(x5311)),a65)) % 1.94/1.94 [539]P2(f29(f30(a45,x5391),a1))+~P2(f36(f37(a50,f2(x5391)),a65)) % 1.94/1.94 [540]P2(f29(f30(a46,x5401),a1))+~P2(f36(f37(a48,f2(x5401)),a65)) % 1.94/1.94 [541]P2(f36(f37(a50,x5411),a65))+~P2(f36(f37(a50,f62(x5411)),a65)) % 1.94/1.94 [542]P2(f36(f37(a50,x5421),a44))+~P2(f36(f37(a50,f62(x5421)),a44)) % 1.94/1.94 [564]~P2(f29(f30(a46,a51),x5641))+P2(f29(f30(a45,a51),f28(f54(a43),x5641))) % 1.94/1.94 [584]~P2(f29(f30(a45,a51),x5841))+P2(f29(f30(a45,a51),f28(f54(x5841),x5841))) % 1.94/1.94 [585]~P2(f29(f30(a45,a1),x5851))+P2(f29(f30(a45,a1),f28(f54(x5851),x5851))) % 1.94/1.94 [589]~P2(f29(f30(a46,a51),x5891))+P2(f29(f30(a46,a51),f28(f54(x5891),x5891))) % 1.94/1.94 [591]~P2(f29(f30(a46,a1),x5911))+P2(f29(f30(a46,a1),f28(f54(x5911),x5911))) % 1.94/1.94 [600]~P2(f36(f37(a50,a65),x6001))+P2(f36(f37(a50,a65),f35(f56(x6001),x6001))) % 1.94/1.94 [602]~P2(f36(f37(a48,a65),x6021))+P2(f36(f37(a48,a65),f35(f56(x6021),x6021))) % 1.94/1.94 [606]E(x6061,a66)+~P2(f29(f30(a46,f27(a52,x6061)),a51)) % 1.94/1.94 [617]P2(f29(f30(a45,a51),x6171))+~P2(f29(f30(a45,a51),f28(f54(x6171),x6171))) % 1.94/1.94 [618]P2(f29(f30(a45,a1),x6181))+~P2(f29(f30(a45,a1),f28(f54(x6181),x6181))) % 1.94/1.94 [619]P2(f29(f30(a46,a51),x6191))+~P2(f29(f30(a46,a51),f28(f54(x6191),x6191))) % 1.94/1.94 [620]P2(f29(f30(a46,a1),x6201))+~P2(f29(f30(a46,a1),f28(f54(x6201),x6201))) % 1.94/1.94 [621]P2(f36(f37(a50,a65),x6211))+~P2(f36(f37(a50,a65),f35(f56(x6211),x6211))) % 1.94/1.94 [622]P2(f36(f37(a48,a65),x6221))+~P2(f36(f37(a48,a65),f35(f56(x6221),x6221))) % 1.94/1.94 [659]~P2(f29(f30(a45,x6591),a51))+P2(f29(f30(a45,f28(f54(x6591),x6591)),a51)) % 1.94/1.94 [660]~P2(f29(f30(a45,x6601),a1))+P2(f29(f30(a45,f28(f54(x6601),x6601)),a1)) % 1.94/1.94 [661]~P2(f29(f30(a46,x6611),a51))+P2(f29(f30(a46,f28(f54(x6611),x6611)),a51)) % 1.94/1.94 [662]~P2(f29(f30(a46,x6621),a1))+P2(f29(f30(a46,f28(f54(x6621),x6621)),a1)) % 1.94/1.94 [664]~P2(f36(f37(a50,x6641),a65))+P2(f36(f37(a50,f35(f56(x6641),x6641)),a65)) % 1.94/1.94 [665]~P2(f36(f37(a48,x6651),a65))+P2(f36(f37(a48,f35(f56(x6651),x6651)),a65)) % 1.94/1.94 [764]P2(f29(f30(a45,x7641),a51))+~P2(f29(f30(a45,f28(f54(x7641),x7641)),a51)) % 1.94/1.94 [765]P2(f29(f30(a45,x7651),a1))+~P2(f29(f30(a45,f28(f54(x7651),x7651)),a1)) % 1.94/1.94 [766]P2(f29(f30(a46,x7661),a51))+~P2(f29(f30(a46,f28(f54(x7661),x7661)),a51)) % 1.94/1.94 [767]P2(f29(f30(a46,x7671),a1))+~P2(f29(f30(a46,f28(f54(x7671),x7671)),a1)) % 1.94/1.94 [769]P2(f36(f37(a50,x7691),a65))+~P2(f36(f37(a50,f35(f56(x7691),x7691)),a65)) % 1.94/1.94 [770]P2(f36(f37(a48,x7701),a65))+~P2(f36(f37(a48,f35(f56(x7701),x7701)),a65)) % 1.94/1.94 [790]~P2(f29(f30(a45,x7901),a43))+P2(f29(f30(a45,x7901),f28(f54(f28(f54(a1),a1)),a43))) % 1.94/1.94 [791]~P2(f29(f30(a46,x7911),a43))+P2(f29(f30(a46,x7911),f28(f54(f28(f54(a1),a1)),a43))) % 1.94/1.94 [792]~P2(f36(f37(a50,f2(x7921)),a44))+P2(f29(f30(a45,x7921),f28(f54(f28(f54(a1),a1)),a43))) % 1.94/1.94 [793]~P2(f36(f37(a48,f2(x7931)),a44))+P2(f29(f30(a46,x7931),f28(f54(f28(f54(a1),a1)),a43))) % 1.94/1.94 [855]~P2(f29(f30(a46,a1),x8551))+P2(f29(f30(a45,a1),f28(f54(f28(f54(x8551),x8551)),a43))) % 1.94/1.94 [856]~P2(f29(f30(a46,a51),x8561))+P2(f29(f30(a46,a51),f28(f54(f28(f54(x8561),x8561)),a43))) % 1.94/1.94 [857]~P2(f29(f30(a46,a1),x8571))+P2(f29(f30(a46,a1),f28(f54(f28(f54(x8571),x8571)),a43))) % 1.94/1.94 [884]P2(f29(f30(a45,x8841),a43))+~P2(f29(f30(a45,x8841),f28(f54(f28(f54(a1),a1)),a43))) % 1.94/1.94 [885]P2(f29(f30(a46,x8851),a43))+~P2(f29(f30(a46,x8851),f28(f54(f28(f54(a1),a1)),a43))) % 1.94/1.94 [886]P2(f36(f37(a50,f2(x8861)),a44))+~P2(f29(f30(a45,x8861),f28(f54(f28(f54(a1),a1)),a43))) % 1.94/1.94 [887]P2(f36(f37(a48,f2(x8871)),a44))+~P2(f29(f30(a46,x8871),f28(f54(f28(f54(a1),a1)),a43))) % 1.94/1.94 [892]P2(f29(f30(a46,a1),x8921))+~P2(f29(f30(a45,a1),f28(f54(f28(f54(x8921),x8921)),a43))) % 1.94/1.94 [893]P2(f29(f30(a46,a1),x8931))+~P2(f29(f30(a46,a1),f28(f54(f28(f54(x8931),x8931)),a43))) % 1.94/1.94 [894]~P2(f29(f30(a45,a43),x8941))+P2(f29(f30(a45,f28(f54(f28(f54(a1),a1)),a43)),x8941)) % 1.94/1.94 [895]~P2(f29(f30(a46,a43),x8951))+P2(f29(f30(a46,f28(f54(f28(f54(a1),a1)),a43)),x8951)) % 1.94/1.94 [896]~P2(f36(f37(a50,a44),f2(x8961)))+P2(f29(f30(a45,f28(f54(f28(f54(a1),a1)),a43)),x8961)) % 1.94/1.94 [897]~P2(f36(f37(a48,a44),f2(x8971)))+P2(f29(f30(a46,f28(f54(f28(f54(a1),a1)),a43)),x8971)) % 1.94/1.94 [898]~P2(f29(f30(a45,x8981),a51))+P2(f29(f30(a45,f28(f54(f28(f54(a43),x8981)),x8981)),a51)) % 1.94/1.94 [899]~P2(f29(f30(a45,x8991),a51))+P2(f29(f30(a45,f28(f54(f28(f54(x8991),x8991)),a43)),a51)) % 1.94/1.94 [900]~P2(f29(f30(a45,x9001),a1))+P2(f29(f30(a45,f28(f54(f28(f54(x9001),x9001)),a43)),a1)) % 1.94/1.94 [901]~P2(f29(f30(a45,x9011),a1))+P2(f29(f30(a46,f28(f54(f28(f54(x9011),x9011)),a43)),a1)) % 1.94/1.94 [911]P2(f29(f30(a45,a43),x9111))+~P2(f29(f30(a45,f28(f54(f28(f54(a1),a1)),a43)),x9111)) % 1.94/1.94 [912]P2(f29(f30(a46,a43),x9121))+~P2(f29(f30(a46,f28(f54(f28(f54(a1),a1)),a43)),x9121)) % 1.94/1.94 [913]P2(f36(f37(a50,a44),f2(x9131)))+~P2(f29(f30(a45,f28(f54(f28(f54(a1),a1)),a43)),x9131)) % 1.94/1.94 [914]P2(f36(f37(a48,a44),f2(x9141)))+~P2(f29(f30(a46,f28(f54(f28(f54(a1),a1)),a43)),x9141)) % 1.94/1.94 [915]P2(f29(f30(a45,x9151),a51))+~P2(f29(f30(a45,f28(f54(f28(f54(a43),x9151)),x9151)),a51)) % 1.94/1.94 [920]P2(f29(f30(a45,x9201),a51))+~P2(f29(f30(a45,f28(f54(f28(f54(x9201),x9201)),a43)),a51)) % 1.94/1.94 [921]P2(f29(f30(a45,x9211),a1))+~P2(f29(f30(a45,f28(f54(f28(f54(x9211),x9211)),a43)),a1)) % 1.94/1.94 [922]P2(f29(f30(a45,x9221),a1))+~P2(f29(f30(a46,f28(f54(f28(f54(x9221),x9221)),a43)),a1)) % 1.94/1.94 [930]~E(x9301,a51)+E(f27(f55(x9301),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))),a51) % 1.94/1.94 [931]~E(x9311,a65)+E(f33(f58(x9311),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))),a65) % 1.94/1.94 [944]E(x9441,a51)+P2(f29(f30(a45,a51),f27(f55(x9441),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))) % 1.94/1.94 [945]E(x9451,a65)+P2(f36(f37(a50,a65),f33(f58(x9451),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))) % 1.94/1.94 [949]~E(x9491,a51)+~P2(f29(f30(a45,a51),f27(f55(x9491),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))) % 1.94/1.94 [950]~E(x9501,a65)+~P2(f36(f37(a50,a65),f33(f58(x9501),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))) % 1.94/1.94 [336]E(x3361,x3362)+~E(f2(x3361),f2(x3362)) % 1.94/1.94 [394]E(x3941,x3942)+~E(f27(a52,x3941),f27(a52,x3942)) % 1.94/1.94 [395]E(x3951,x3952)+~E(f33(a53,x3951),f33(a53,x3952)) % 1.94/1.94 [396]E(x3961,x3962)+~E(f34(a60,x3961),f34(a60,x3962)) % 1.94/1.94 [350]~E(x3502,a66)+E(f34(f59(x3501),x3502),a42) % 1.94/1.94 [351]~E(x3511,a42)+E(f34(f59(x3511),x3512),a42) % 1.94/1.94 [352]~E(x3522,a51)+E(f28(f54(x3521),x3522),x3521) % 1.94/1.94 [353]~E(x3532,a65)+E(f35(f56(x3531),x3532),x3531) % 1.94/1.94 [354]~E(x3542,a66)+E(f34(f57(x3541),x3542),x3541) % 1.94/1.94 [372]E(x3721,a51)+~E(f27(f55(x3721),x3722),a51) % 1.94/1.94 [376]E(x3761,a65)+~E(f33(f58(x3761),x3762),a65) % 1.94/1.94 [379]E(x3791,a66)+~E(f34(f59(x3791),x3792),a66) % 1.94/1.94 [380]E(x3801,a66)+~E(f34(f57(x3802),x3801),a66) % 1.94/1.94 [381]E(x3811,a66)+~E(f34(f57(x3811),x3812),a66) % 1.94/1.94 [383]~E(x3831,a66)+~E(f27(f55(x3832),x3831),a51) % 1.94/1.94 [384]~E(x3841,a66)+~E(f33(f58(x3842),x3841),a65) % 1.94/1.94 [386]~E(x3861,a66)+~E(f34(f59(x3862),x3861),a66) % 1.94/1.94 [387]E(x3871,a51)+~E(f28(f54(x3872),x3871),x3872) % 1.94/1.94 [388]E(x3881,a65)+~E(f35(f56(x3882),x3881),x3882) % 1.94/1.94 [390]E(x3901,a66)+~E(f34(f57(x3902),x3901),x3902) % 1.94/1.94 [420]E(x4201,x4202)+~E(f28(f54(x4201),x4201),f28(f54(x4202),x4202)) % 1.94/1.94 [424]~E(x4241,x4242)+P2(f29(f30(a46,x4241),x4242)) % 1.94/1.94 [427]~E(x4271,x4272)+P2(f31(f32(a47,x4271),x4272)) % 1.94/1.94 [428]~E(x4281,x4282)+P2(f36(f37(a48,x4281),x4282)) % 1.94/1.94 [441]~E(x4411,a66)+~P2(f31(f32(a49,x4412),x4411)) % 1.94/1.94 [442]~E(x4421,x4422)+~P2(f29(f30(a45,x4421),x4422)) % 1.94/1.94 [447]~E(x4471,x4472)+~P2(f31(f32(a49,x4471),x4472)) % 1.94/1.94 [448]~E(x4481,x4482)+~P2(f36(f37(a50,x4481),x4482)) % 1.94/1.94 [458]~P2(f29(x4581,f19(x4581)))+P2(f29(x4581,f27(a52,x4582))) % 1.94/1.94 [465]P2(f29(f30(a46,x4652),x4651))+P2(f29(f30(a45,x4651),x4652)) % 1.94/1.94 [467]P2(f29(f30(a46,x4672),x4671))+P2(f29(f30(a46,x4671),x4672)) % 1.94/1.94 [469]P2(f31(f32(a47,x4692),x4691))+P2(f31(f32(a47,x4691),x4692)) % 1.94/1.94 [471]P2(f36(f37(a48,x4712),x4711))+P2(f36(f37(a48,x4711),x4712)) % 1.94/1.94 [477]E(f34(f57(f41(x4771)),f41(x4772)),f41(x4772))+~P2(f29(f30(a45,x4771),a1)) % 1.94/1.94 [479]P2(f29(f30(a46,a51),f19(x4791)))+P2(f29(x4791,f27(a52,x4792))) % 1.94/1.94 [480]P2(f29(x4801,f20(x4801)))+~P2(f29(x4801,f27(a52,x4802))) % 1.94/1.94 [482]E(f34(f57(x4821),f9(x4821,x4822)),x4822)+~P2(f31(f32(a47,x4821),x4822)) % 1.94/1.94 [483]E(f34(f57(x4831),f21(x4831,x4832)),x4832)+~P2(f31(f32(a49,x4831),x4832)) % 1.94/1.94 [509]~P2(f29(f30(a45,x5091),x5092))+P2(f29(f30(a46,x5091),x5092)) % 1.94/1.94 [513]~P2(f31(f32(a49,x5131),x5132))+P2(f31(f32(a47,x5131),x5132)) % 1.94/1.94 [515]~P2(f36(f37(a50,x5151),x5152))+P2(f36(f37(a48,x5151),x5152)) % 1.94/1.94 [527]P2(f29(f30(a46,a51),f20(x5271)))+~P2(f29(x5271,f27(a52,x5272))) % 1.94/1.94 [533]P2(f31(f32(a49,f41(x5331)),f41(x5332)))+P2(f31(f32(a47,f41(x5332)),f41(x5331))) % 1.94/1.94 [534]P2(f36(f37(a50,f2(x5341)),f2(x5342)))+P2(f36(f37(a48,f2(x5342)),f2(x5341))) % 1.94/1.94 [544]P2(f31(f32(a47,f41(x5441)),f41(x5442)))+~P2(f29(f30(a46,x5441),a1)) % 1.94/1.94 [546]~P2(f29(f30(a46,x5461),x5462))+P2(f31(f32(a47,f41(x5461)),f41(x5462))) % 1.94/1.94 [547]~P2(f29(f30(a45,x5471),x5472))+P2(f36(f37(a50,f2(x5471)),f2(x5472))) % 1.94/1.94 [548]~P2(f29(f30(a46,x5481),x5482))+P2(f36(f37(a48,f2(x5481)),f2(x5482))) % 1.94/1.94 [550]~P2(f29(f30(a46,x5502),x5501))+~P2(f29(f30(a45,x5501),x5502)) % 1.94/1.94 [551]P2(f31(f32(a49,a66),f21(x5511,x5512)))+~P2(f31(f32(a49,x5511),x5512)) % 1.94/1.94 [572]~P2(f31(f32(a49,f41(x5721)),f41(x5722)))+P2(f29(f30(a45,x5721),x5722)) % 1.94/1.94 [573]~P2(f36(f37(a50,f2(x5731)),f2(x5732)))+P2(f29(f30(a45,x5731),x5732)) % 1.94/1.94 [574]~P2(f36(f37(a48,f2(x5741)),f2(x5742)))+P2(f29(f30(a46,x5741),x5742)) % 1.94/1.94 [645]~P2(f31(f32(a49,x6451),x6452))+P2(f29(f30(a45,f27(a52,x6451)),f27(a52,x6452))) % 1.94/1.94 [648]~P2(f31(f32(a47,x6481),x6482))+P2(f29(f30(a46,f27(a52,x6481)),f27(a52,x6482))) % 1.94/1.94 [650]~P2(f31(f32(a49,x6501),x6502))+P2(f31(f32(a49,f34(a60,x6501)),f34(a60,x6502))) % 1.94/1.94 [651]~P2(f31(f32(a47,x6511),x6512))+P2(f31(f32(a47,f34(a60,x6511)),f34(a60,x6512))) % 1.94/1.94 [653]~P2(f31(f32(a49,x6531),x6532))+P2(f36(f37(a50,f33(a53,x6531)),f33(a53,x6532))) % 1.94/1.94 [654]~P2(f31(f32(a47,x6541),x6542))+P2(f36(f37(a48,f33(a53,x6541)),f33(a53,x6542))) % 1.94/1.94 [671]~P2(f31(f32(a49,f41(x6711)),f41(x6712)))+~P2(f31(f32(a47,f41(x6712)),f41(x6711))) % 1.94/1.94 [672]~P2(f36(f37(a50,f2(x6721)),f2(x6722)))+~P2(f36(f37(a48,f2(x6722)),f2(x6721))) % 1.94/1.94 [716]P2(f31(f32(a49,x7161),x7162))+~P2(f29(f30(a45,f27(a52,x7161)),f27(a52,x7162))) % 1.94/1.94 [718]P2(f31(f32(a49,x7181),x7182))+~P2(f31(f32(a49,f34(a60,x7181)),f34(a60,x7182))) % 1.94/1.94 [720]P2(f31(f32(a49,x7201),x7202))+~P2(f36(f37(a50,f33(a53,x7201)),f33(a53,x7202))) % 1.94/1.94 [723]P2(f31(f32(a47,x7231),x7232))+~P2(f29(f30(a46,f27(a52,x7231)),f27(a52,x7232))) % 1.94/1.94 [724]P2(f31(f32(a47,x7241),x7242))+~P2(f31(f32(a47,f34(a60,x7241)),f34(a60,x7242))) % 1.94/1.94 [725]P2(f31(f32(a47,x7251),x7252))+~P2(f36(f37(a48,f33(a53,x7251)),f33(a53,x7252))) % 1.94/1.94 [463]~E(x4632,a66)+P2(f31(f32(a49,a66),f34(f59(x4631),x4632))) % 1.94/1.94 [464]~E(x4641,x4642)+P2(f29(f30(a45,x4641),f28(f54(x4642),a43))) % 1.94/1.94 [532]E(f28(f54(x5321),f27(a52,f6(x5321,x5322))),x5322)+~P2(f29(f30(a46,x5321),x5322)) % 1.94/1.94 [583]~P2(f29(f30(a45,a51),x5831))+P2(f29(f30(a45,a51),f27(f55(x5831),x5832))) % 1.94/1.94 [587]~P2(f29(f30(a46,a51),x5871))+P2(f29(f30(a46,a51),f27(f55(x5871),x5872))) % 1.94/1.94 [590]~P2(f29(f30(a46,a43),x5901))+P2(f29(f30(a46,a43),f27(f55(x5901),x5902))) % 1.94/1.94 [594]~P2(f31(f32(a49,a66),x5941))+P2(f31(f32(a49,a66),f34(f59(x5941),x5942))) % 1.94/1.94 [597]~P2(f31(f32(a47,a42),x5971))+P2(f31(f32(a47,a42),f34(f59(x5971),x5972))) % 1.94/1.94 [599]~P2(f36(f37(a50,a65),x5991))+P2(f36(f37(a50,a65),f33(f58(x5991),x5992))) % 1.94/1.94 [601]~P2(f36(f37(a48,a65),x6011))+P2(f36(f37(a48,a65),f33(f58(x6011),x6012))) % 1.94/1.94 [603]~P2(f36(f37(a48,a44),x6031))+P2(f36(f37(a48,a44),f33(f58(x6031),x6032))) % 1.94/1.94 [607]~P2(f29(f30(a45,x6071),x6072))+P2(f29(f30(a45,x6071),f28(f54(x6072),a43))) % 1.94/1.94 [608]~P2(f29(f30(a46,x6081),x6082))+P2(f29(f30(a45,x6081),f28(f54(x6082),a43))) % 1.94/1.94 [628]P2(f29(f30(a46,x6281),x6282))+~P2(f29(f30(a45,x6281),f28(f54(x6282),a43))) % 1.94/1.94 [733]~P2(f29(f30(a45,x7331),x7332))+P2(f29(f30(a45,f28(f54(x7331),x7331)),f28(f54(x7332),x7332))) % 1.94/1.94 [740]~P2(f29(f30(a46,x7401),x7402))+P2(f29(f30(a46,f28(f54(x7401),x7401)),f28(f54(x7402),x7402))) % 1.94/1.94 [830]P2(f29(f30(a45,x8301),x8302))+~P2(f29(f30(a45,f28(f54(x8301),x8301)),f28(f54(x8302),x8302))) % 1.94/1.94 [836]P2(f29(f30(a46,x8361),x8362))+~P2(f29(f30(a46,f28(f54(x8361),x8361)),f28(f54(x8362),x8362))) % 1.94/1.94 [903]~P2(f29(f30(a45,x9031),x9032))+P2(f29(f30(a45,f28(f54(f28(f54(x9031),x9031)),a43)),f28(f54(x9032),x9032))) % 1.94/1.94 [905]~P2(f29(f30(a45,x9051),x9052))+P2(f29(f30(a46,f28(f54(f28(f54(x9051),x9051)),a43)),f28(f54(x9052),x9052))) % 1.94/1.94 [924]P2(f29(f30(a45,x9241),x9242))+~P2(f29(f30(a45,f28(f54(f28(f54(x9241),x9241)),a43)),f28(f54(x9242),x9242))) % 1.94/1.94 [926]P2(f29(f30(a45,x9261),x9262))+~P2(f29(f30(a46,f28(f54(f28(f54(x9261),x9261)),a43)),f28(f54(x9262),x9262))) % 1.94/1.94 [623]E(x6231,x6232)+~E(f28(f54(f28(f54(x6231),x6231)),a43),f28(f54(f28(f54(x6232),x6232)),a43)) % 1.94/1.94 [656]~P2(f29(f30(a45,x6561),x6562))+P2(f29(f30(a46,f28(f54(x6561),a43)),x6562)) % 1.94/1.94 [726]P2(f29(f30(a45,x7261),x7262))+~P2(f29(f30(a46,f28(f54(x7261),a43)),x7262)) % 1.94/1.94 [889]~P2(f29(f30(a46,x8891),x8892))+P2(f29(f30(a45,f28(f54(x8891),x8891)),f28(f54(f28(f54(x8892),x8892)),a43))) % 1.94/1.94 [891]~P2(f29(f30(a46,x8911),x8912))+P2(f29(f30(a46,f28(f54(x8911),x8911)),f28(f54(f28(f54(x8912),x8912)),a43))) % 1.94/1.94 [907]P2(f29(f30(a46,x9071),x9072))+~P2(f29(f30(a45,f28(f54(x9071),x9071)),f28(f54(f28(f54(x9072),x9072)),a43))) % 1.94/1.94 [909]P2(f29(f30(a46,x9091),x9092))+~P2(f29(f30(a46,f28(f54(x9091),x9091)),f28(f54(f28(f54(x9092),x9092)),a43))) % 1.94/1.94 [917]~P2(f29(f30(a45,x9171),x9172))+P2(f29(f30(a45,f28(f54(f28(f54(x9171),x9171)),a43)),f28(f54(f28(f54(x9172),x9172)),a43))) % 1.94/1.94 [919]~P2(f29(f30(a46,x9191),x9192))+P2(f29(f30(a46,f28(f54(f28(f54(x9191),x9191)),a43)),f28(f54(f28(f54(x9192),x9192)),a43))) % 1.94/1.94 [933]P2(f29(f30(a45,x9331),x9332))+~P2(f29(f30(a45,f28(f54(f28(f54(x9331),x9331)),a43)),f28(f54(f28(f54(x9332),x9332)),a43))) % 1.94/1.94 [935]P2(f29(f30(a46,x9351),x9352))+~P2(f29(f30(a46,f28(f54(f28(f54(x9351),x9351)),a43)),f28(f54(f28(f54(x9352),x9352)),a43))) % 1.94/1.94 [951]E(x9511,a51)+~E(f28(f54(f27(f55(x9512),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f27(f55(x9511),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),a51) % 1.94/1.94 [952]E(x9521,a51)+~E(f28(f54(f27(f55(x9521),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f27(f55(x9522),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),a51) % 1.94/1.94 [954]E(x9541,a65)+~E(f35(f56(f33(f58(x9542),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f33(f58(x9541),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),a65) % 1.94/1.94 [956]E(x9561,a65)+~E(f35(f56(f33(f58(x9561),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f33(f58(x9562),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),a65) % 1.94/1.94 [963]E(x9631,a51)+P2(f29(f30(a45,a51),f28(f54(f27(f55(x9632),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f27(f55(x9631),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))))) % 1.94/1.94 [964]E(x9641,a51)+P2(f29(f30(a45,a51),f28(f54(f27(f55(x9641),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f27(f55(x9642),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))))) % 1.94/1.94 [965]E(x9651,a65)+P2(f36(f37(a50,a65),f35(f56(f33(f58(x9652),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f33(f58(x9651),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))))) % 1.94/1.94 [966]E(x9661,a65)+P2(f36(f37(a50,a65),f35(f56(f33(f58(x9661),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f33(f58(x9662),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))))) % 1.94/1.94 [971]E(x9711,a51)+~P2(f29(f30(a46,f28(f54(f27(f55(x9712),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f27(f55(x9711),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))),a51)) % 1.94/1.94 [972]E(x9721,a51)+~P2(f29(f30(a46,f28(f54(f27(f55(x9721),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f27(f55(x9722),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))),a51)) % 1.94/1.94 [973]E(x9731,a65)+~P2(f36(f37(a48,f35(f56(f33(f58(x9732),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f33(f58(x9731),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))),a65)) % 1.94/1.94 [974]E(x9741,a65)+~P2(f36(f37(a48,f35(f56(f33(f58(x9741),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f33(f58(x9742),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))),a65)) % 1.94/1.94 [405]E(x4051,x4052)+~E(f28(f54(x4053),x4051),f28(f54(x4053),x4052)) % 1.94/1.94 [408]E(x4081,x4082)+~E(f35(f56(x4083),x4081),f35(f56(x4083),x4082)) % 1.94/1.94 [412]E(x4121,x4122)+~E(f34(f57(x4123),x4121),f34(f57(x4123),x4122)) % 1.94/1.94 [414]E(x4141,x4142)+~E(f28(f54(x4141),x4143),f28(f54(x4142),x4143)) % 1.94/1.94 [416]E(x4161,x4162)+~E(f35(f56(x4161),x4163),f35(f56(x4162),x4163)) % 1.94/1.94 [419]E(x4191,x4192)+~E(f34(f57(x4191),x4193),f34(f57(x4192),x4193)) % 1.94/1.94 [434]~E(x4342,f34(f57(x4341),x4343))+P2(f31(f32(a47,x4341),x4342)) % 1.94/1.94 [459]~E(x4592,f28(f54(x4591),f27(a52,x4593)))+P2(f29(f30(a46,x4591),x4592)) % 1.94/1.94 [433]P2(x4331)+E(f27(a52,f34(f38(x4331,x4332),x4333)),f27(a52,x4333)) % 1.94/1.94 [435]~P2(x4351)+E(f27(a52,f34(f38(x4351,x4352),x4353)),f27(a52,x4352)) % 1.94/1.94 [609]~P2(f31(f32(a49,x6091),x6093))+P2(f31(f32(a49,x6091),f34(f57(x6092),x6093))) % 1.94/1.94 [610]~P2(f31(f32(a49,x6101),x6102))+P2(f31(f32(a49,x6101),f34(f57(x6102),x6103))) % 1.94/1.94 [611]~P2(f31(f32(a47,x6111),x6113))+P2(f31(f32(a47,x6111),f34(f57(x6112),x6113))) % 1.94/1.94 [612]~P2(f31(f32(a47,x6121),x6122))+P2(f31(f32(a47,x6121),f34(f57(x6122),x6123))) % 1.94/1.94 [728]~P2(f29(f30(a45,x7282),x7283))+P2(f29(f30(a45,f28(f54(x7281),x7282)),f28(f54(x7281),x7283))) % 1.94/1.94 [731]~P2(f29(f30(a45,x7311),x7313))+P2(f29(f30(a45,f28(f54(x7311),x7312)),f28(f54(x7313),x7312))) % 1.94/1.94 [736]~P2(f29(f30(a46,x7362),x7363))+P2(f29(f30(a46,f28(f54(x7361),x7362)),f28(f54(x7361),x7363))) % 1.94/1.94 [738]~P2(f29(f30(a46,x7381),x7383))+P2(f29(f30(a46,f28(f54(x7381),x7382)),f28(f54(x7383),x7382))) % 1.94/1.94 [743]~P2(f31(f32(a49,x7432),x7433))+P2(f31(f32(a49,f34(f57(x7431),x7432)),f34(f57(x7431),x7433))) % 1.94/1.94 [746]~P2(f31(f32(a49,x7461),x7463))+P2(f31(f32(a49,f34(f57(x7461),x7462)),f34(f57(x7463),x7462))) % 1.94/1.94 [749]~P2(f31(f32(a47,x7492),x7493))+P2(f31(f32(a47,f34(f57(x7491),x7492)),f34(f57(x7491),x7493))) % 1.94/1.94 [752]~P2(f31(f32(a47,x7521),x7523))+P2(f31(f32(a47,f34(f57(x7521),x7522)),f34(f57(x7523),x7522))) % 1.94/1.94 [754]~P2(f36(f37(a50,x7542),x7543))+P2(f36(f37(a50,f35(f56(x7541),x7542)),f35(f56(x7541),x7543))) % 1.94/1.94 [756]~P2(f36(f37(a50,x7561),x7563))+P2(f36(f37(a50,f35(f56(x7561),x7562)),f35(f56(x7563),x7562))) % 1.94/1.94 [759]~P2(f36(f37(a48,x7592),x7593))+P2(f36(f37(a48,f35(f56(x7591),x7592)),f35(f56(x7591),x7593))) % 1.94/1.94 [761]~P2(f36(f37(a48,x7611),x7613))+P2(f36(f37(a48,f35(f56(x7611),x7612)),f35(f56(x7613),x7612))) % 1.94/1.94 [826]P2(f29(f30(a45,x8261),x8262))+~P2(f29(f30(a45,f28(f54(x8263),x8261)),f28(f54(x8263),x8262))) % 1.94/1.94 [828]P2(f29(f30(a45,x8281),x8282))+~P2(f29(f30(a45,f28(f54(x8281),x8283)),f28(f54(x8282),x8283))) % 1.94/1.94 [832]P2(f29(f30(a46,x8321),x8322))+~P2(f29(f30(a46,f28(f54(x8323),x8321)),f28(f54(x8323),x8322))) % 1.94/1.94 [834]P2(f29(f30(a46,x8341),x8342))+~P2(f29(f30(a46,f28(f54(x8341),x8343)),f28(f54(x8342),x8343))) % 1.94/1.94 [839]P2(f31(f32(a49,x8391),x8392))+~P2(f31(f32(a49,f34(f57(x8393),x8391)),f34(f57(x8393),x8392))) % 1.94/1.94 [841]P2(f31(f32(a49,x8411),x8412))+~P2(f31(f32(a49,f34(f57(x8411),x8413)),f34(f57(x8412),x8413))) % 1.94/1.94 [844]P2(f31(f32(a47,x8441),x8442))+~P2(f31(f32(a47,f34(f57(x8443),x8441)),f34(f57(x8443),x8442))) % 1.94/1.94 [846]P2(f31(f32(a47,x8461),x8462))+~P2(f31(f32(a47,f34(f57(x8461),x8463)),f34(f57(x8462),x8463))) % 1.94/1.94 [848]P2(f36(f37(a50,x8481),x8482))+~P2(f36(f37(a50,f35(f56(x8483),x8481)),f35(f56(x8483),x8482))) % 1.94/1.94 [850]P2(f36(f37(a50,x8501),x8502))+~P2(f36(f37(a50,f35(f56(x8501),x8503)),f35(f56(x8502),x8503))) % 1.94/1.94 [852]P2(f36(f37(a48,x8521),x8522))+~P2(f36(f37(a48,f35(f56(x8523),x8521)),f35(f56(x8523),x8522))) % 1.94/1.94 [854]P2(f36(f37(a48,x8541),x8542))+~P2(f36(f37(a48,f35(f56(x8541),x8543)),f35(f56(x8542),x8543))) % 1.94/1.94 [771]P2(f31(f32(a49,x7711),x7712))+~P2(f31(f32(a49,f34(f57(x7711),x7713)),x7712)) % 1.94/1.94 [774]P2(f31(f32(a47,x7741),x7742))+~P2(f31(f32(a47,f34(f57(x7743),x7741)),x7742)) % 1.94/1.94 [775]P2(f31(f32(a47,x7751),x7752))+~P2(f31(f32(a47,f34(f57(x7751),x7753)),x7752)) % 1.94/1.94 [927]P2(f31(f32(a49,f13(x9271,x9272,x9273)),f14(x9271,x9272,x9273)))+P2(f31(f32(a47,f34(f57(f34(x9273,x9271)),x9272)),f34(x9273,f34(f57(x9271),x9272)))) % 1.94/1.94 [940]~P2(f31(f32(a49,f34(x9401,f13(x9402,x9403,x9401))),f34(x9401,f14(x9402,x9403,x9401))))+P2(f31(f32(a47,f34(f57(f34(x9401,x9402)),x9403)),f34(x9401,f34(f57(x9402),x9403)))) % 1.94/1.94 [334]~P1(x3341)+E(x3341,a26)+E(x3341,a3) % 1.94/1.94 [355]~E(x3552,a51)+E(x3551,a66)+E(f27(f55(x3552),x3551),a51) % 1.94/1.94 [356]~E(x3562,a65)+E(x3561,a66)+E(f33(f58(x3562),x3561),a65) % 1.94/1.94 [358]~E(x3582,a66)+E(x3581,a66)+E(f34(f59(x3582),x3581),a66) % 1.94/1.94 [359]~E(x3592,a66)+~E(x3591,a66)+E(f34(f57(x3591),x3592),a66) % 1.94/1.94 [391]E(x3911,a66)+E(x3912,a42)+~E(f34(f59(x3912),x3911),a42) % 1.94/1.94 [473]E(x4731,x4732)+P2(f29(f30(a45,x4732),x4731))+P2(f29(f30(a45,x4731),x4732)) % 1.94/1.94 [475]E(x4751,x4752)+P2(f31(f32(a49,x4752),x4751))+P2(f31(f32(a49,x4751),x4752)) % 1.94/1.94 [476]E(x4761,x4762)+P2(f36(f37(a50,x4762),x4761))+P2(f36(f37(a50,x4761),x4762)) % 1.94/1.94 [478]~P2(f31(x4781,x4782))+P2(f31(x4781,a66))+P2(f31(x4781,f11(x4782,x4781))) % 1.94/1.94 [516]E(x5161,x5162)+P2(f29(f30(a45,x5161),x5162))+~P2(f29(f30(a46,x5161),x5162)) % 1.94/1.94 [519]E(x5191,x5192)+P2(f31(f32(a49,x5191),x5192))+~P2(f31(f32(a47,x5191),x5192)) % 1.94/1.94 [521]E(x5211,x5212)+P2(f36(f37(a50,x5211),x5212))+~P2(f36(f37(a48,x5211),x5212)) % 1.94/1.94 [545]E(f34(f57(f41(x5451)),f41(x5452)),f41(x5451))+P2(f29(f30(a45,x5451),a1))+~P2(f29(f30(a45,x5452),a1)) % 1.94/1.94 [555]E(x5551,x5552)+~P2(f29(f30(a46,x5552),x5551))+~P2(f29(f30(a46,x5551),x5552)) % 1.94/1.94 [559]E(x5591,x5592)+~P2(f31(f32(a47,x5592),x5591))+~P2(f31(f32(a47,x5591),x5592)) % 1.94/1.94 [563]E(x5631,x5632)+~P2(f36(f37(a48,x5632),x5631))+~P2(f36(f37(a48,x5631),x5632)) % 1.94/1.94 [641]~P2(f31(f32(a47,f41(x6411)),f41(x6412)))+P2(f29(f30(a46,x6411),x6412))+P2(f29(f30(a46,x6411),a1)) % 1.94/1.94 [666]~P2(f31(f32(a49,a66),x6662))+~P2(f36(f37(a50,a65),x6661))+P2(f36(f37(a50,a65),f23(x6661,x6662))) % 1.94/1.94 [667]~P2(f31(f32(a49,a66),x6672))+~P2(f36(f37(a50,a65),x6671))+P2(f36(f37(a50,a65),f24(x6671,x6672))) % 1.94/1.94 [668]~P2(f36(f37(a50,a65),x6682))+~P2(f36(f37(a50,a65),x6681))+P2(f36(f37(a50,a65),f15(x6681,x6682))) % 1.94/1.94 [669]~P2(f29(f30(a45,a1),x6692))+~P2(f29(f30(a45,x6691),x6692))+P2(f31(f32(a49,f41(x6691)),f41(x6692))) % 1.94/1.94 [689]P2(f29(f30(a45,a1),x6891))+~P2(f31(f32(a49,f41(x6892)),f41(x6891)))+~P2(f29(f30(a45,x6892),x6891)) % 1.94/1.94 [543]E(f34(f57(f41(x5431)),f41(x5432)),f41(f28(f54(x5431),x5432)))+P2(f29(f30(a45,x5431),a1))+P2(f29(f30(a45,x5432),a1)) % 1.94/1.94 [581]~P2(f31(x5811,x5812))+P2(f31(x5811,a66))+P2(f31(f32(a49,f10(x5812,x5811)),x5812)) % 1.94/1.94 [582]~P2(f31(x5821,x5822))+P2(f31(x5821,a66))+P2(f31(f32(a47,f11(x5822,x5821)),x5822)) % 1.94/1.94 [604]~P2(f29(x6041,x6042))+~P2(f29(f30(a46,a51),x6042))+P2(f29(x6041,f27(a52,f22(x6041)))) % 1.94/1.94 [614]E(f33(f58(f23(x6141,x6142)),x6142),x6141)+~P2(f31(f32(a49,a66),x6142))+~P2(f36(f37(a50,a65),x6141)) % 1.94/1.94 [615]E(f33(f58(f24(x6151,x6152)),x6152),x6151)+~P2(f31(f32(a49,a66),x6152))+~P2(f36(f37(a50,a65),x6151)) % 1.94/1.94 [616]P2(f29(x6161,x6162))+~P2(f29(f30(a46,a51),x6162))+~P2(f29(x6161,f27(a52,f25(x6161)))) % 1.94/1.94 [625]E(f34(f57(f41(x6251)),f41(x6252)),f41(f28(f54(x6251),x6252)))+~P2(f29(f30(a46,a1),x6251))+~P2(f29(f30(a46,a1),x6252)) % 1.94/1.94 [627]E(x6271,a66)+P2(f31(f32(a49,a66),x6272))+~P2(f31(f32(a49,a66),f34(f59(x6272),x6271))) % 1.94/1.94 [629]E(x6291,x6292)+P2(f29(f30(a45,x6291),x6292))+~P2(f29(f30(a45,x6291),f28(f54(x6292),a43))) % 1.94/1.94 [676]~P2(f31(f32(a49,a66),x6762))+~P2(f29(f30(a45,a43),x6761))+P2(f29(f30(a45,a43),f27(f55(x6761),x6762))) % 1.94/1.94 [679]~P2(f31(f32(a49,a66),x6792))+~P2(f31(f32(a49,a42),x6791))+P2(f31(f32(a49,a42),f34(f59(x6791),x6792))) % 1.94/1.94 [687]~P2(f31(f32(a49,a66),x6872))+~P2(f36(f37(a50,a44),x6871))+P2(f36(f37(a50,a44),f33(f58(x6871),x6872))) % 1.94/1.94 [690]P2(f31(f32(a49,a66),x6901))+P2(f31(f32(a49,a66),x6902))+~P2(f31(f32(a49,a66),f34(f57(x6902),x6901))) % 1.94/1.94 [711]~P2(f36(f37(a50,a65),x7112))+~P2(f36(f37(a50,a65),x7111))+P2(f36(f37(a50,f15(x7111,x7112)),x7112)) % 1.94/1.94 [712]~P2(f36(f37(a50,a65),x7122))+~P2(f36(f37(a50,a65),x7121))+P2(f36(f37(a50,f15(x7121,x7122)),x7121)) % 1.94/1.94 [707]~P2(f31(x7071,x7072))+P2(f31(x7071,a66))+P2(f31(x7071,f34(f57(f10(x7072,x7071)),a42))) % 1.94/1.94 [777]~P2(f29(f30(a45,x7772),a51))+~P2(f29(f30(a45,x7771),a51))+P2(f29(f30(a45,f28(f54(x7771),x7772)),a51)) % 1.94/1.94 [778]~P2(f29(f30(a45,x7782),a51))+~P2(f29(f30(a46,x7781),a51))+P2(f29(f30(a45,f28(f54(x7781),x7782)),a51)) % 1.94/1.94 [779]~P2(f29(f30(a45,x7791),a51))+~P2(f29(f30(a46,x7792),a51))+P2(f29(f30(a45,f28(f54(x7791),x7792)),a51)) % 1.94/1.94 [780]~P2(f29(f30(a46,x7802),a51))+~P2(f29(f30(a46,x7801),a51))+P2(f29(f30(a46,f28(f54(x7801),x7802)),a51)) % 1.94/1.94 [784]~P2(f31(f32(a47,x7842),a66))+~P2(f31(f32(a47,x7841),a66))+P2(f31(f32(a47,f34(f57(x7841),x7842)),a66)) % 1.94/1.94 [785]~P2(f36(f37(a50,x7852),a65))+~P2(f36(f37(a50,x7851),a65))+P2(f36(f37(a50,f35(f56(x7851),x7852)),a65)) % 1.94/1.94 [786]~P2(f36(f37(a50,x7862),a65))+~P2(f36(f37(a48,x7861),a65))+P2(f36(f37(a50,f35(f56(x7861),x7862)),a65)) % 1.94/1.94 [787]~P2(f36(f37(a50,x7871),a65))+~P2(f36(f37(a48,x7872),a65))+P2(f36(f37(a50,f35(f56(x7871),x7872)),a65)) % 1.94/1.94 [788]~P2(f36(f37(a48,x7882),a65))+~P2(f36(f37(a48,x7881),a65))+P2(f36(f37(a48,f35(f56(x7881),x7882)),a65)) % 1.94/1.94 [946]~E(x9462,a51)+~E(x9461,a51)+E(f28(f54(f27(f55(x9461),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f27(f55(x9462),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),a51) % 1.94/1.94 [948]~E(x9482,a65)+~E(x9481,a65)+E(f35(f56(f33(f58(x9481),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f33(f58(x9482),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),a65) % 1.94/1.94 [958]~P2(f29(f30(a46,a51),x9582))+P2(f29(f30(a46,x9581),x9582))+~P2(f29(f30(a46,f27(f55(x9581),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f27(f55(x9582),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))) % 1.94/1.94 [960]~P2(f31(f32(a47,a66),x9602))+P2(f31(f32(a47,x9601),x9602))+~P2(f31(f32(a47,f34(f59(x9601),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f34(f59(x9602),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))) % 1.94/1.94 [962]~P2(f36(f37(a48,a65),x9622))+P2(f36(f37(a48,x9621),x9622))+~P2(f36(f37(a48,f33(f58(x9621),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f33(f58(x9622),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))) % 1.94/1.94 [967]~E(x9671,a51)+~E(x9672,a51)+~P2(f29(f30(a45,a51),f28(f54(f27(f55(x9672),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f27(f55(x9671),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))))) % 1.94/1.94 [968]~E(x9681,a65)+~E(x9682,a65)+~P2(f36(f37(a50,a65),f35(f56(f33(f58(x9682),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f33(f58(x9681),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))))) % 1.94/1.94 [969]~E(x9692,a51)+~E(x9691,a51)+P2(f29(f30(a46,f28(f54(f27(f55(x9691),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f27(f55(x9692),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))),a51)) % 1.94/1.94 [970]~E(x9702,a65)+~E(x9701,a65)+P2(f36(f37(a48,f35(f56(f33(f58(x9701),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))),f33(f58(x9702),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))),a65)) % 1.94/1.94 [486]E(x4861,x4862)+~E(f27(f55(x4863),x4861),f27(f55(x4863),x4862))+~P2(f29(f30(a45,a43),x4863)) % 1.94/1.94 [487]E(x4871,x4872)+~E(f33(f58(x4873),x4871),f33(f58(x4873),x4872))+~P2(f36(f37(a50,a44),x4873)) % 1.94/1.94 [488]E(x4881,x4882)+~E(f34(f59(x4883),x4881),f34(f59(x4883),x4882))+~P2(f31(f32(a49,a42),x4883)) % 1.94/1.94 [632]~P2(f29(f30(a46,x6321),x6323))+P2(f29(f30(a46,x6321),x6322))+~P2(f29(f30(a46,x6323),x6322)) % 1.94/1.94 [635]~P2(f31(f32(a47,x6351),x6353))+P2(f31(f32(a47,x6351),x6352))+~P2(f31(f32(a47,x6353),x6352)) % 1.94/1.94 [638]~P2(f36(f37(a48,x6381),x6383))+P2(f36(f37(a48,x6381),x6382))+~P2(f36(f37(a48,x6383),x6382)) % 1.94/1.94 [910]P2(f31(f32(a49,f17(x9102,x9103,x9101)),f18(x9102,x9103,x9101)))+~P2(f31(f32(a47,x9102),x9103))+P2(f31(f32(a47,f34(x9101,x9102)),f34(x9101,x9103))) % 1.94/1.94 [692]~P2(f29(f30(a45,a51),x6922))+~P2(f29(f30(a45,x6921),x6923))+P2(f29(f30(a45,x6921),f28(f54(x6922),x6923))) % 1.94/1.94 [693]~P2(f29(f30(a46,a51),x6932))+~P2(f29(f30(a45,x6931),x6933))+P2(f29(f30(a45,x6931),f28(f54(x6932),x6933))) % 1.94/1.94 [694]~P2(f29(f30(a45,a51),x6942))+~P2(f29(f30(a46,x6941),x6943))+P2(f29(f30(a45,x6941),f28(f54(x6942),x6943))) % 1.94/1.94 [695]~P2(f29(f30(a46,a51),x6953))+~P2(f29(f30(a46,x6951),x6952))+P2(f29(f30(a46,x6951),f28(f54(x6952),x6953))) % 1.94/1.94 [696]~P2(f29(f30(a46,a51),x6962))+~P2(f29(f30(a46,x6961),x6963))+P2(f29(f30(a46,x6961),f28(f54(x6962),x6963))) % 1.94/1.94 [699]~P2(f31(f32(a49,a66),x6992))+~P2(f31(f32(a47,x6991),x6993))+P2(f31(f32(a49,x6991),f34(f57(x6992),x6993))) % 1.94/1.94 [702]~P2(f36(f37(a50,a65),x7022))+~P2(f36(f37(a50,x7021),x7023))+P2(f36(f37(a50,x7021),f35(f56(x7022),x7023))) % 1.94/1.94 [703]~P2(f36(f37(a48,a65),x7032))+~P2(f36(f37(a50,x7031),x7033))+P2(f36(f37(a50,x7031),f35(f56(x7032),x7033))) % 1.94/1.94 [704]~P2(f36(f37(a50,a65),x7042))+~P2(f36(f37(a48,x7041),x7043))+P2(f36(f37(a50,x7041),f35(f56(x7042),x7043))) % 1.94/1.94 [705]~P2(f36(f37(a48,a65),x7053))+~P2(f36(f37(a48,x7051),x7052))+P2(f36(f37(a48,x7051),f35(f56(x7052),x7053))) % 1.94/1.94 [706]~P2(f36(f37(a48,a65),x7062))+~P2(f36(f37(a48,x7061),x7063))+P2(f36(f37(a48,x7061),f35(f56(x7062),x7063))) % 1.94/1.94 [795]~P2(f29(f30(a45,a43),x7951))+~P2(f31(f32(a49,x7952),x7953))+P2(f29(f30(a45,f27(f55(x7951),x7952)),f27(f55(x7951),x7953))) % 1.94/1.94 [796]~P2(f29(f30(a45,a43),x7961))+~P2(f31(f32(a47,x7962),x7963))+P2(f29(f30(a46,f27(f55(x7961),x7962)),f27(f55(x7961),x7963))) % 1.94/1.94 [797]~P2(f29(f30(a46,a43),x7971))+~P2(f31(f32(a47,x7972),x7973))+P2(f29(f30(a46,f27(f55(x7971),x7972)),f27(f55(x7971),x7973))) % 1.94/1.94 [798]~P2(f29(f30(a46,a51),x7981))+~P2(f29(f30(a46,x7981),x7983))+P2(f29(f30(a46,f27(f55(x7981),x7982)),f27(f55(x7983),x7982))) % 1.94/1.94 [800]~P2(f31(f32(a49,a42),x8001))+~P2(f31(f32(a49,x8002),x8003))+P2(f31(f32(a49,f34(f59(x8001),x8002)),f34(f59(x8001),x8003))) % 1.94/1.94 [801]~P2(f31(f32(a49,a42),x8011))+~P2(f31(f32(a47,x8012),x8013))+P2(f31(f32(a47,f34(f59(x8011),x8012)),f34(f59(x8011),x8013))) % 1.94/1.94 [802]~P2(f31(f32(a47,a42),x8021))+~P2(f31(f32(a47,x8022),x8023))+P2(f31(f32(a47,f34(f59(x8021),x8022)),f34(f59(x8021),x8023))) % 1.94/1.94 [803]~P2(f31(f32(a47,a66),x8031))+~P2(f31(f32(a47,x8031),x8033))+P2(f31(f32(a47,f34(f59(x8031),x8032)),f34(f59(x8033),x8032))) % 1.94/1.94 [805]~P2(f36(f37(a50,a44),x8051))+~P2(f31(f32(a49,x8052),x8053))+P2(f36(f37(a50,f33(f58(x8051),x8052)),f33(f58(x8051),x8053))) % 1.94/1.94 [806]~P2(f36(f37(a50,a44),x8061))+~P2(f31(f32(a47,x8062),x8063))+P2(f36(f37(a48,f33(f58(x8061),x8062)),f33(f58(x8061),x8063))) % 1.94/1.94 [807]~P2(f36(f37(a48,a44),x8071))+~P2(f31(f32(a47,x8072),x8073))+P2(f36(f37(a48,f33(f58(x8071),x8072)),f33(f58(x8071),x8073))) % 1.94/1.94 [808]~P2(f36(f37(a48,a65),x8081))+~P2(f36(f37(a48,x8081),x8083))+P2(f36(f37(a48,f33(f58(x8081),x8082)),f33(f58(x8083),x8082))) % 1.94/1.94 [868]~P2(f29(f30(a46,a51),x8682))+P2(f29(f30(a45,x8681),x8682))+~P2(f29(f30(a45,f27(f55(x8681),x8683)),f27(f55(x8682),x8683))) % 1.94/1.94 [870]~P2(f29(f30(a45,a43),x8703))+P2(f31(f32(a49,x8701),x8702))+~P2(f29(f30(a45,f27(f55(x8703),x8701)),f27(f55(x8703),x8702))) % 1.94/1.94 [872]~P2(f31(f32(a49,a42),x8723))+P2(f31(f32(a49,x8721),x8722))+~P2(f31(f32(a49,f34(f59(x8723),x8721)),f34(f59(x8723),x8722))) % 1.94/1.94 [873]~P2(f31(f32(a49,a66),x8733))+P2(f31(f32(a49,x8731),x8732))+~P2(f31(f32(a49,f34(f59(x8733),x8731)),f34(f59(x8733),x8732))) % 1.94/1.94 [875]~P2(f36(f37(a50,a44),x8753))+P2(f31(f32(a49,x8751),x8752))+~P2(f36(f37(a50,f33(f58(x8753),x8751)),f33(f58(x8753),x8752))) % 1.94/1.94 [876]~P2(f31(f32(a47,a66),x8762))+P2(f31(f32(a49,x8761),x8762))+~P2(f31(f32(a49,f34(f59(x8761),x8763)),f34(f59(x8762),x8763))) % 1.94/1.94 [878]~P2(f29(f30(a45,a43),x8783))+P2(f31(f32(a47,x8781),x8782))+~P2(f29(f30(a46,f27(f55(x8783),x8781)),f27(f55(x8783),x8782))) % 1.94/1.94 [880]~P2(f31(f32(a49,a42),x8803))+P2(f31(f32(a47,x8801),x8802))+~P2(f31(f32(a47,f34(f59(x8803),x8801)),f34(f59(x8803),x8802))) % 1.94/1.94 [882]~P2(f36(f37(a50,a44),x8823))+P2(f31(f32(a47,x8821),x8822))+~P2(f36(f37(a48,f33(f58(x8823),x8821)),f33(f58(x8823),x8822))) % 1.94/1.94 [883]~P2(f36(f37(a48,a65),x8832))+P2(f36(f37(a50,x8831),x8832))+~P2(f36(f37(a50,f33(f58(x8831),x8833)),f33(f58(x8832),x8833))) % 1.94/1.94 [936]~P2(f31(f32(a47,x9362),x9363))+P2(f31(f32(a47,f34(x9361,x9362)),f34(x9361,x9363)))+~P2(f31(f32(a49,f34(x9361,f17(x9362,x9363,x9361))),f34(x9361,f18(x9362,x9363,x9361)))) % 1.94/1.94 [605]~E(f34(f57(x6053),x6052),f34(f57(x6051),x6054))+~P2(f31(f32(a49,x6053),x6054))+P2(f31(f32(a49,x6051),x6052)) % 1.94/1.94 [809]~P2(f29(f30(a45,x8092),x8094))+~P2(f29(f30(a45,x8091),x8093))+P2(f29(f30(a45,f28(f54(x8091),x8092)),f28(f54(x8093),x8094))) % 1.94/1.94 [810]~P2(f29(f30(a45,x8102),x8104))+~P2(f29(f30(a46,x8101),x8103))+P2(f29(f30(a45,f28(f54(x8101),x8102)),f28(f54(x8103),x8104))) % 1.94/1.94 [812]~P2(f29(f30(a45,x8121),x8123))+~P2(f29(f30(a46,x8122),x8124))+P2(f29(f30(a45,f28(f54(x8121),x8122)),f28(f54(x8123),x8124))) % 1.94/1.94 [813]~P2(f29(f30(a46,x8132),x8134))+~P2(f29(f30(a46,x8131),x8133))+P2(f29(f30(a46,f28(f54(x8131),x8132)),f28(f54(x8133),x8134))) % 1.94/1.94 [815]~P2(f31(f32(a49,x8152),x8154))+~P2(f31(f32(a49,x8151),x8153))+P2(f31(f32(a49,f34(f57(x8151),x8152)),f34(f57(x8153),x8154))) % 1.94/1.94 [816]~P2(f31(f32(a49,x8162),x8164))+~P2(f31(f32(a47,x8161),x8163))+P2(f31(f32(a49,f34(f57(x8161),x8162)),f34(f57(x8163),x8164))) % 1.94/1.94 [817]~P2(f31(f32(a49,x8171),x8173))+~P2(f31(f32(a47,x8172),x8174))+P2(f31(f32(a49,f34(f57(x8171),x8172)),f34(f57(x8173),x8174))) % 1.94/1.94 [819]~P2(f31(f32(a47,x8192),x8194))+~P2(f31(f32(a47,x8191),x8193))+P2(f31(f32(a47,f34(f57(x8191),x8192)),f34(f57(x8193),x8194))) % 1.94/1.94 [820]~P2(f36(f37(a50,x8202),x8204))+~P2(f36(f37(a50,x8201),x8203))+P2(f36(f37(a50,f35(f56(x8201),x8202)),f35(f56(x8203),x8204))) % 1.94/1.94 [821]~P2(f36(f37(a50,x8212),x8214))+~P2(f36(f37(a48,x8211),x8213))+P2(f36(f37(a50,f35(f56(x8211),x8212)),f35(f56(x8213),x8214))) % 1.94/1.94 [822]~P2(f36(f37(a50,x8221),x8223))+~P2(f36(f37(a48,x8222),x8224))+P2(f36(f37(a50,f35(f56(x8221),x8222)),f35(f56(x8223),x8224))) % 1.94/1.94 [823]~P2(f36(f37(a48,x8232),x8234))+~P2(f36(f37(a48,x8231),x8233))+P2(f36(f37(a48,f35(f56(x8231),x8232)),f35(f56(x8233),x8234))) % 1.94/1.94 [939]E(x9391,a43)+E(x9391,a51)+~P2(f29(f30(a46,a51),x9391))+~P2(f29(f30(a45,x9391),f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))) % 1.94/1.94 [575]E(x5751,a51)+~E(f28(f54(x5752),x5751),a51)+~P2(f29(f30(a46,a51),x5752))+~P2(f29(f30(a46,a51),x5751)) % 1.94/1.94 [576]E(x5761,a51)+~E(f28(f54(x5761),x5762),a51)+~P2(f29(f30(a46,a51),x5762))+~P2(f29(f30(a46,a51),x5761)) % 1.94/1.94 [577]E(x5771,a65)+~E(f35(f56(x5772),x5771),a65)+~P2(f36(f37(a48,a65),x5771))+~P2(f36(f37(a48,a65),x5772)) % 1.94/1.94 [578]E(x5781,a65)+~E(f35(f56(x5781),x5782),a65)+~P2(f36(f37(a48,a65),x5781))+~P2(f36(f37(a48,a65),x5782)) % 1.94/1.94 [941]E(x9411,x9412)+~P2(f29(f30(a46,a51),x9412))+~P2(f29(f30(a46,a51),x9411))+~E(f27(f55(x9411),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))),f27(f55(x9412),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))) % 1.94/1.94 [942]E(x9421,x9422)+~P2(f36(f37(a48,a65),x9422))+~P2(f36(f37(a48,a65),x9421))+~E(f33(f58(x9421),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))),f33(f58(x9422),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))) % 1.94/1.95 [943]E(x9431,x9432)+~P2(f31(f32(a47,a66),x9432))+~P2(f31(f32(a47,a66),x9431))+~E(f34(f59(x9431),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))),f34(f59(x9432),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))) % 1.94/1.95 [639]~P2(f31(x6391,x6392))+~P2(f31(x6391,x6393))+P2(f31(x6391,a66))+~P2(f31(f32(a49,x6393),f11(x6392,x6391))) % 1.94/1.95 [640]~P2(f31(x6401,x6402))+~P2(f31(x6401,x6403))+P2(f31(x6401,a66))+~P2(f31(f32(a47,x6403),f10(x6402,x6401))) % 1.94/1.95 [776]~P2(f29(x7761,x7763))+P2(f29(x7761,x7762))+P2(f29(x7761,f12(x7761,x7763,x7762)))+~P2(f29(f30(a46,x7763),x7762)) % 1.94/1.95 [789]~P2(f29(x7891,x7893))+P2(f29(x7891,x7892))+~P2(f29(f30(a46,x7893),x7892))+P2(f29(f30(a46,x7893),f12(x7891,x7893,x7892))) % 1.94/1.95 [824]P2(f29(x8241,x8242))+P2(f29(x8241,f16(x8241,x8243,x8242)))+~P2(f29(f30(a45,x8243),x8242))+~P2(f29(x8241,f28(f54(x8243),a43))) % 1.94/1.95 [858]P2(f29(x8581,x8582))+~P2(f29(f30(a45,x8583),x8582))+P2(f29(f30(a45,x8583),f16(x8581,x8583,x8582)))+~P2(f29(x8581,f28(f54(x8583),a43))) % 1.94/1.95 [859]~P2(f29(f30(a46,a51),x8591))+~P2(f31(f32(a49,a66),x8592))+~P2(f29(f30(a45,x8591),x8593))+P2(f29(f30(a45,f27(f55(x8591),x8592)),f27(f55(x8593),x8592))) % 1.94/1.95 [860]~P2(f31(f32(a49,a66),x8602))+~P2(f31(f32(a47,a66),x8601))+~P2(f31(f32(a49,x8601),x8603))+P2(f31(f32(a49,f34(f59(x8601),x8602)),f34(f59(x8603),x8602))) % 1.94/1.95 [861]~P2(f31(f32(a49,a66),x8612))+~P2(f36(f37(a48,a65),x8611))+~P2(f36(f37(a50,x8611),x8613))+P2(f36(f37(a50,f33(f58(x8611),x8612)),f33(f58(x8613),x8612))) % 1.94/1.95 [862]~P2(f29(f30(a45,a51),x8621))+~P2(f31(f32(a49,x8623),x8622))+~P2(f29(f30(a45,x8621),a43))+P2(f29(f30(a45,f27(f55(x8621),x8622)),f27(f55(x8621),x8623))) % 1.94/1.95 [863]~P2(f29(f30(a46,a51),x8631))+~P2(f31(f32(a47,x8633),x8632))+~P2(f29(f30(a46,x8631),a43))+P2(f29(f30(a46,f27(f55(x8631),x8632)),f27(f55(x8631),x8633))) % 1.94/1.95 [864]~P2(f31(f32(a49,a66),x8641))+~P2(f31(f32(a49,x8643),x8642))+~P2(f31(f32(a49,x8641),a42))+P2(f31(f32(a49,f34(f59(x8641),x8642)),f34(f59(x8641),x8643))) % 1.94/1.95 [865]~P2(f31(f32(a47,a66),x8651))+~P2(f31(f32(a47,x8653),x8652))+~P2(f31(f32(a47,x8651),a42))+P2(f31(f32(a47,f34(f59(x8651),x8652)),f34(f59(x8651),x8653))) % 1.94/1.95 [866]~P2(f36(f37(a50,a65),x8661))+~P2(f31(f32(a49,x8663),x8662))+~P2(f36(f37(a50,x8661),a44))+P2(f36(f37(a50,f33(f58(x8661),x8662)),f33(f58(x8661),x8663))) % 1.94/1.95 [867]~P2(f36(f37(a48,a65),x8671))+~P2(f31(f32(a47,x8673),x8672))+~P2(f36(f37(a48,x8671),a44))+P2(f36(f37(a48,f33(f58(x8671),x8672)),f33(f58(x8671),x8673))) % 1.94/1.95 [928]P2(f29(x9281,x9282))+~P2(f29(x9281,x9283))+~P2(f29(f30(a46,x9283),x9282))+~P2(f29(x9281,f28(f54(f12(x9281,x9283,x9282)),a43))) % 1.94/1.95 [929]P2(f29(x9291,x9292))+~P2(f29(f30(a45,x9293),x9292))+~P2(f29(x9291,f28(f54(x9293),a43)))+~P2(f29(x9291,f28(f54(f16(x9291,x9293,x9292)),a43))) % 1.94/1.95 [565]~E(x5652,a51)+~E(x5651,a51)+E(f28(f54(x5651),x5652),a51)+~P2(f29(f30(a46,a51),x5652))+~P2(f29(f30(a46,a51),x5651)) % 1.94/1.95 [566]~E(x5662,a65)+~E(x5661,a65)+E(f35(f56(x5661),x5662),a65)+~P2(f36(f37(a48,a65),x5661))+~P2(f36(f37(a48,a65),x5662)) % 1.94/1.95 [691]E(x6911,f23(x6912,x6913))+~E(f33(f58(x6911),x6913),x6912)+~P2(f31(f32(a49,a66),x6913))+~P2(f36(f37(a50,a65),x6912))+~P2(f36(f37(a50,a65),x6911)) % 1.94/1.95 [708]E(x7081,x7082)+~E(f27(f55(x7081),x7083),f27(f55(x7082),x7083))+~P2(f29(f30(a46,a51),x7082))+~P2(f29(f30(a46,a51),x7081))+~P2(f31(f32(a49,a66),x7083)) % 1.94/1.95 [709]E(x7091,x7092)+~E(f33(f58(x7091),x7093),f33(f58(x7092),x7093))+~P2(f31(f32(a49,a66),x7093))+~P2(f36(f37(a48,a65),x7092))+~P2(f36(f37(a48,a65),x7091)) % 1.94/1.95 [710]E(x7101,x7102)+~E(f34(f59(x7101),x7103),f34(f59(x7102),x7103))+~P2(f31(f32(a49,a66),x7103))+~P2(f31(f32(a47,a66),x7102))+~P2(f31(f32(a47,a66),x7101)) % 1.94/1.95 %EqnAxiom % 1.94/1.95 [1]E(x11,x11) % 1.94/1.95 [2]E(x22,x21)+~E(x21,x22) % 1.94/1.95 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.94/1.95 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 1.94/1.95 [5]~E(x51,x52)+E(f41(x51),f41(x52)) % 1.94/1.95 [6]~E(x61,x62)+E(f55(x61),f55(x62)) % 1.94/1.95 [7]~E(x71,x72)+E(f54(x71),f54(x72)) % 1.94/1.95 [8]~E(x81,x82)+E(f36(x81,x83),f36(x82,x83)) % 1.94/1.95 [9]~E(x91,x92)+E(f36(x93,x91),f36(x93,x92)) % 1.94/1.95 [10]~E(x101,x102)+E(f37(x101,x103),f37(x102,x103)) % 1.94/1.95 [11]~E(x111,x112)+E(f37(x113,x111),f37(x113,x112)) % 1.94/1.95 [12]~E(x121,x122)+E(f27(x121,x123),f27(x122,x123)) % 1.94/1.95 [13]~E(x131,x132)+E(f27(x133,x131),f27(x133,x132)) % 1.94/1.95 [14]~E(x141,x142)+E(f28(x141,x143),f28(x142,x143)) % 1.94/1.95 [15]~E(x151,x152)+E(f28(x153,x151),f28(x153,x152)) % 1.94/1.95 [16]~E(x161,x162)+E(f30(x161,x163),f30(x162,x163)) % 1.94/1.95 [17]~E(x171,x172)+E(f30(x173,x171),f30(x173,x172)) % 1.94/1.95 [18]~E(x181,x182)+E(f29(x181,x183),f29(x182,x183)) % 1.94/1.95 [19]~E(x191,x192)+E(f29(x193,x191),f29(x193,x192)) % 1.94/1.95 [20]~E(x201,x202)+E(f31(x201,x203),f31(x202,x203)) % 1.94/1.95 [21]~E(x211,x212)+E(f31(x213,x211),f31(x213,x212)) % 1.94/1.95 [22]~E(x221,x222)+E(f34(x221,x223),f34(x222,x223)) % 1.94/1.95 [23]~E(x231,x232)+E(f34(x233,x231),f34(x233,x232)) % 1.94/1.95 [24]~E(x241,x242)+E(f33(x241,x243),f33(x242,x243)) % 1.94/1.95 [25]~E(x251,x252)+E(f33(x253,x251),f33(x253,x252)) % 1.94/1.95 [26]~E(x261,x262)+E(f56(x261),f56(x262)) % 1.94/1.95 [27]~E(x271,x272)+E(f35(x271,x273),f35(x272,x273)) % 1.94/1.95 [28]~E(x281,x282)+E(f35(x283,x281),f35(x283,x282)) % 1.94/1.95 [29]~E(x291,x292)+E(f32(x291,x293),f32(x292,x293)) % 1.94/1.95 [30]~E(x301,x302)+E(f32(x303,x301),f32(x303,x302)) % 1.94/1.95 [31]~E(x311,x312)+E(f57(x311),f57(x312)) % 1.94/1.95 [32]~E(x321,x322)+E(f59(x321),f59(x322)) % 1.94/1.95 [33]~E(x331,x332)+E(f8(x331),f8(x332)) % 1.94/1.95 [34]~E(x341,x342)+E(f18(x341,x343,x344),f18(x342,x343,x344)) % 1.94/1.95 [35]~E(x351,x352)+E(f18(x353,x351,x354),f18(x353,x352,x354)) % 1.94/1.95 [36]~E(x361,x362)+E(f18(x363,x364,x361),f18(x363,x364,x362)) % 1.94/1.95 [37]~E(x371,x372)+E(f58(x371),f58(x372)) % 1.94/1.95 [38]~E(x381,x382)+E(f62(x381),f62(x382)) % 1.94/1.95 [39]~E(x391,x392)+E(f23(x391,x393),f23(x392,x393)) % 1.94/1.95 [40]~E(x401,x402)+E(f23(x403,x401),f23(x403,x402)) % 1.94/1.95 [41]~E(x411,x412)+E(f12(x411,x413,x414),f12(x412,x413,x414)) % 1.94/1.95 [42]~E(x421,x422)+E(f12(x423,x421,x424),f12(x423,x422,x424)) % 1.94/1.95 [43]~E(x431,x432)+E(f12(x433,x434,x431),f12(x433,x434,x432)) % 1.94/1.95 [44]~E(x441,x442)+E(f21(x441,x443),f21(x442,x443)) % 1.94/1.95 [45]~E(x451,x452)+E(f21(x453,x451),f21(x453,x452)) % 1.94/1.95 [46]~E(x461,x462)+E(f20(x461),f20(x462)) % 1.94/1.95 [47]~E(x471,x472)+E(f10(x471,x473),f10(x472,x473)) % 1.94/1.95 [48]~E(x481,x482)+E(f10(x483,x481),f10(x483,x482)) % 1.94/1.95 [49]~E(x491,x492)+E(f7(x491),f7(x492)) % 1.94/1.95 [50]~E(x501,x502)+E(f5(x501),f5(x502)) % 1.94/1.95 [51]~E(x511,x512)+E(f16(x511,x513,x514),f16(x512,x513,x514)) % 1.94/1.95 [52]~E(x521,x522)+E(f16(x523,x521,x524),f16(x523,x522,x524)) % 1.94/1.95 [53]~E(x531,x532)+E(f16(x533,x534,x531),f16(x533,x534,x532)) % 1.94/1.95 [54]~E(x541,x542)+E(f14(x541,x543,x544),f14(x542,x543,x544)) % 1.94/1.95 [55]~E(x551,x552)+E(f14(x553,x551,x554),f14(x553,x552,x554)) % 1.94/1.95 [56]~E(x561,x562)+E(f14(x563,x564,x561),f14(x563,x564,x562)) % 1.94/1.95 [57]~E(x571,x572)+E(f64(x571,x573),f64(x572,x573)) % 1.94/1.95 [58]~E(x581,x582)+E(f64(x583,x581),f64(x583,x582)) % 1.94/1.95 [59]~E(x591,x592)+E(f15(x591,x593),f15(x592,x593)) % 1.94/1.95 [60]~E(x601,x602)+E(f15(x603,x601),f15(x603,x602)) % 1.94/1.95 [61]~E(x611,x612)+E(f38(x611,x613),f38(x612,x613)) % 1.94/1.95 [62]~E(x621,x622)+E(f38(x623,x621),f38(x623,x622)) % 1.94/1.95 [63]~E(x631,x632)+E(f24(x631,x633),f24(x632,x633)) % 1.94/1.95 [64]~E(x641,x642)+E(f24(x643,x641),f24(x643,x642)) % 1.94/1.95 [65]~E(x651,x652)+E(f17(x651,x653,x654),f17(x652,x653,x654)) % 1.94/1.95 [66]~E(x661,x662)+E(f17(x663,x661,x664),f17(x663,x662,x664)) % 1.94/1.95 [67]~E(x671,x672)+E(f17(x673,x674,x671),f17(x673,x674,x672)) % 1.94/1.95 [68]~E(x681,x682)+E(f13(x681,x683,x684),f13(x682,x683,x684)) % 1.94/1.95 [69]~E(x691,x692)+E(f13(x693,x691,x694),f13(x693,x692,x694)) % 1.94/1.95 [70]~E(x701,x702)+E(f13(x703,x704,x701),f13(x703,x704,x702)) % 1.94/1.95 [71]~E(x711,x712)+E(f25(x711),f25(x712)) % 1.94/1.95 [72]~E(x721,x722)+E(f4(x721),f4(x722)) % 1.94/1.95 [73]~E(x731,x732)+E(f19(x731),f19(x732)) % 1.94/1.95 [74]~E(x741,x742)+E(f11(x741,x743),f11(x742,x743)) % 1.94/1.95 [75]~E(x751,x752)+E(f11(x753,x751),f11(x753,x752)) % 1.94/1.95 [76]~E(x761,x762)+E(f22(x761),f22(x762)) % 1.94/1.95 [77]~E(x771,x772)+E(f6(x771,x773),f6(x772,x773)) % 1.94/1.95 [78]~E(x781,x782)+E(f6(x783,x781),f6(x783,x782)) % 1.94/1.95 [79]~E(x791,x792)+E(f9(x791,x793),f9(x792,x793)) % 1.94/1.95 [80]~E(x801,x802)+E(f9(x803,x801),f9(x803,x802)) % 1.94/1.95 [81]~P1(x811)+P1(x812)+~E(x811,x812) % 1.94/1.95 [82]~P2(x821)+P2(x822)+~E(x821,x822) % 1.94/1.95 % 1.94/1.95 %------------------------------------------- % 1.94/1.95 cnf(1006,plain, % 1.94/1.95 (~P2(f29(f30(a45,x10061),x10061))), % 1.94/1.95 inference(equality_inference,[],[442])). % 1.94/1.95 cnf(1008,plain, % 1.94/1.95 (~P2(f36(f37(a50,x10081),x10081))), % 1.94/1.95 inference(equality_inference,[],[448])). % 1.94/1.95 cnf(1009,plain, % 1.94/1.95 (P2(f29(f30(a46,x10091),f28(f54(x10091),f27(a52,x10092))))), % 1.94/1.95 inference(equality_inference,[],[459])). % 1.94/1.95 cnf(1010,plain, % 1.94/1.95 (P2(f31(f32(a49,a66),f34(f59(x10101),a66)))), % 1.94/1.95 inference(equality_inference,[],[463])). % 1.94/1.95 cnf(1012,plain, % 1.94/1.95 (P2(f29(f30(a46,f27(a52,a66)),a51))), % 1.94/1.95 inference(equality_inference,[],[481])). % 1.94/1.95 cnf(1027,plain, % 1.94/1.95 (~P2(f29(f30(a45,a51),f27(f55(a51),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))))), % 1.94/1.95 inference(equality_inference,[],[949])). % 1.94/1.95 cnf(1028,plain, % 1.94/1.95 (~P2(f36(f37(a50,a65),f33(f58(a65),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))))))), % 1.94/1.95 inference(equality_inference,[],[950])). % 1.94/1.95 cnf(1029,plain, % 1.94/1.95 (~E(f28(f54(f28(f54(x10291),x10291)),a43),a51)), % 1.94/1.95 inference(scs_inference,[],[323,352])). % 1.94/1.95 cnf(1030,plain, % 1.94/1.95 (~E(f28(f54(x10301),x10301),f28(f54(f28(f54(x10302),x10302)),a43))), % 1.94/1.95 inference(rename_variables,[],[323])). % 1.94/1.95 cnf(1032,plain, % 1.94/1.95 (E(f28(f54(a43),f27(a52,a39)),a51)), % 1.94/1.95 inference(scs_inference,[],[282,323,352,372])). % 1.94/1.95 cnf(1034,plain, % 1.94/1.95 (~E(f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43))),a66)), % 1.94/1.95 inference(scs_inference,[],[282,323,352,372,383])). % 1.94/1.95 cnf(1042,plain, % 1.94/1.95 (~E(f28(f54(x10421),a43),x10421)), % 1.94/1.95 inference(scs_inference,[],[282,1006,1010,323,165,177,352,372,383,442,447,448,464])). % 1.94/1.95 cnf(1043,plain, % 1.94/1.95 (~P2(f29(f30(a45,x10431),x10431))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1047,plain, % 1.94/1.95 (~E(f28(f54(x10471),x10471),f28(f54(f28(f54(x10472),x10472)),a43))), % 1.94/1.95 inference(rename_variables,[],[323])). % 1.94/1.95 cnf(1050,plain, % 1.94/1.95 (~E(a66,f34(f57(a42),x10501))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1010,323,1030,1047,165,177,311,352,372,383,442,447,448,464,2,14,15,434])). % 1.94/1.95 cnf(1061,plain, % 1.94/1.95 (P2(f29(f30(a46,x10611),f28(f54(x10611),f27(a52,x10612))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1064,plain, % 1.94/1.95 (P2(f29(f30(a46,x10641),f28(f54(x10641),f27(a52,x10642))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1067,plain, % 1.94/1.95 (P2(f29(f30(a46,x10671),f28(f54(x10671),f27(a52,x10672))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1070,plain, % 1.94/1.95 (P2(f29(f30(a46,x10701),f28(f54(x10701),f27(a52,x10702))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1073,plain, % 1.94/1.95 (P2(f29(f30(a46,x10731),f28(f54(x10731),f27(a52,x10732))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1076,plain, % 1.94/1.95 (~P2(f29(f30(a45,x10761),x10761))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1079,plain, % 1.94/1.95 (~P2(f29(f30(a45,x10791),x10791))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1082,plain, % 1.94/1.95 (~P2(f29(f30(a45,x10821),x10821))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1084,plain, % 1.94/1.95 (~E(a51,f28(f54(a43),f27(a52,x10841)))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1010,1009,1061,1064,1067,1070,323,1030,1047,170,309,165,177,311,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459])). % 1.94/1.95 cnf(1086,plain, % 1.94/1.95 (P2(f29(f30(a46,f19(f30(a45,f27(a52,x10861)))),f27(a52,x10861)))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1010,1009,1061,1064,1067,1070,323,1030,1047,170,309,165,177,311,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465])). % 1.94/1.95 cnf(1089,plain, % 1.94/1.95 (~P2(f29(f30(a45,x10891),x10891))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1092,plain, % 1.94/1.95 (P2(f29(f30(a46,x10921),x10921))), % 1.94/1.95 inference(rename_variables,[],[182])). % 1.94/1.95 cnf(1094,plain, % 1.94/1.95 (E(f34(f57(x10941),f9(x10941,x10941)),x10941)), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1010,1009,1061,1064,1067,1070,182,184,323,1030,1047,170,309,165,177,311,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482])). % 1.94/1.95 cnf(1099,plain, % 1.94/1.95 (P2(f29(f30(a46,x10991),f28(f54(x10991),f27(a52,x10992))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1102,plain, % 1.94/1.95 (P2(f29(f30(a45,x11021),f28(f54(x11021),a43)))), % 1.94/1.95 inference(rename_variables,[],[222])). % 1.94/1.95 cnf(1105,plain, % 1.94/1.95 (P2(f29(f30(a46,x11051),f28(f54(x11051),f27(a52,x11052))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1108,plain, % 1.94/1.95 (~P2(f29(f30(a45,x11081),x11081))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1111,plain, % 1.94/1.95 (P2(f29(f30(a46,x11111),f28(f54(x11111),f27(a52,x11112))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1114,plain, % 1.94/1.95 (P2(f29(f30(a46,x11141),f28(f54(x11141),f27(a52,x11142))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1117,plain, % 1.94/1.95 (P2(f29(f30(a46,x11171),f28(f54(x11171),f27(a52,x11172))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1119,plain, % 1.94/1.95 (P2(f29(f30(a46,a1),a51))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,182,1092,184,323,1030,1047,170,309,165,177,311,222,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500])). % 1.94/1.95 cnf(1120,plain, % 1.94/1.95 (P2(f29(f30(a46,x11201),x11201))), % 1.94/1.95 inference(rename_variables,[],[182])). % 1.94/1.95 cnf(1122,plain, % 1.94/1.95 (P2(f29(f30(a46,f27(a52,a66)),a1))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1012,182,1092,184,323,1030,1047,170,309,165,177,311,222,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501])). % 1.94/1.95 cnf(1124,plain, % 1.94/1.95 (P2(f31(f32(a49,a66),f41(f28(f54(a1),a43))))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1012,182,1092,184,323,1030,1047,170,309,165,177,311,222,1102,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502])). % 1.94/1.95 cnf(1125,plain, % 1.94/1.95 (P2(f29(f30(a45,x11251),f28(f54(x11251),a43)))), % 1.94/1.95 inference(rename_variables,[],[222])). % 1.94/1.95 cnf(1127,plain, % 1.94/1.95 (P2(f36(f37(a50,a65),f62(a44)))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1012,182,1092,184,323,1030,1047,170,309,165,177,311,222,1102,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506])). % 1.94/1.95 cnf(1129,plain, % 1.94/1.95 (P2(f36(f37(a50,a44),f62(f35(f56(a44),a44))))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1012,182,1092,184,323,1030,1047,170,309,165,177,311,222,1102,224,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507])). % 1.94/1.95 cnf(1130,plain, % 1.94/1.95 (P2(f36(f37(a50,x11301),f35(f56(x11301),a44)))), % 1.94/1.95 inference(rename_variables,[],[224])). % 1.94/1.95 cnf(1133,plain, % 1.94/1.95 (P2(f29(f30(a46,x11331),f28(f54(x11331),f27(a52,x11332))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1136,plain, % 1.94/1.95 (~P2(f29(f30(a45,x11361),x11361))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1139,plain, % 1.94/1.95 (P2(f29(f30(a46,x11391),x11391))), % 1.94/1.95 inference(rename_variables,[],[182])). % 1.94/1.95 cnf(1141,plain, % 1.94/1.95 (E(f28(f54(x11411),f27(a52,f6(x11411,f28(f54(x11411),f27(a52,x11412))))),f28(f54(x11411),f27(a52,x11412)))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,184,323,1030,1047,170,309,165,177,311,222,1102,224,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532])). % 1.94/1.95 cnf(1144,plain, % 1.94/1.95 (P2(f29(f30(a46,x11441),x11441))), % 1.94/1.95 inference(rename_variables,[],[182])). % 1.94/1.95 cnf(1156,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(x11561),a43)),x11561))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,1139,184,323,1030,1047,170,306,309,165,166,177,311,222,1102,224,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607])). % 1.94/1.95 cnf(1157,plain, % 1.94/1.95 (~P2(f29(f30(a45,x11571),x11571))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1159,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(x11591),a43)),x11591))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1157,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,1139,184,323,1030,1047,170,306,309,165,166,177,311,222,1102,224,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608])). % 1.94/1.95 cnf(1160,plain, % 1.94/1.95 (~P2(f29(f30(a45,x11601),x11601))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1162,plain, % 1.94/1.95 (~P2(f31(f32(a49,f34(f57(x11621),f34(f57(x11622),x11623))),x11623))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1157,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,1139,184,323,1030,1047,170,306,309,165,166,177,311,222,1102,224,328,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609])). % 1.94/1.95 cnf(1163,plain, % 1.94/1.95 (~P2(f31(f32(a49,f34(f57(x11631),x11632)),x11632))), % 1.94/1.95 inference(rename_variables,[],[328])). % 1.94/1.95 cnf(1165,plain, % 1.94/1.95 (~P2(f31(f32(a49,f34(f57(x11651),f34(f57(x11652),x11653))),x11652))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1157,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,1139,184,323,1030,1047,170,306,309,165,166,177,311,222,1102,224,328,1163,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610])). % 1.94/1.95 cnf(1166,plain, % 1.94/1.95 (~P2(f31(f32(a49,f34(f57(x11661),x11662)),x11662))), % 1.94/1.95 inference(rename_variables,[],[328])). % 1.94/1.95 cnf(1168,plain, % 1.94/1.95 (P2(f29(f30(a46,a51),f28(f54(f28(f54(a1),a1)),a43)))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1157,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,1139,184,323,1030,1047,170,306,309,165,166,177,311,222,1102,224,328,1163,281,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619])). % 1.94/1.95 cnf(1170,plain, % 1.94/1.95 (P2(f29(f30(a45,x11701),f28(f54(f28(f54(x11701),a43)),f27(a52,x11702))))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1157,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,1139,184,323,1030,1047,170,306,309,165,166,177,311,222,1102,224,328,1163,281,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726])). % 1.94/1.95 cnf(1171,plain, % 1.94/1.95 (P2(f29(f30(a46,x11711),f28(f54(x11711),f27(a52,x11712))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1173,plain, % 1.94/1.95 (~P2(f31(f32(a49,f34(f57(f34(f57(x11731),x11732)),x11733)),x11732))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1157,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,1139,184,323,1030,1047,170,306,309,165,166,177,311,222,1102,224,328,1163,281,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743])). % 1.94/1.95 cnf(1176,plain, % 1.94/1.95 (P2(f31(f32(a49,x11761),f34(f57(x11761),a42)))), % 1.94/1.95 inference(rename_variables,[],[223])). % 1.94/1.95 cnf(1178,plain, % 1.94/1.95 (P2(f31(f32(a47,x11781),f34(f57(x11782),f34(f57(x11783),x11781))))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1157,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,1139,184,323,1030,1047,170,306,309,165,166,177,311,225,222,1102,223,224,328,1163,281,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774])). % 1.94/1.95 cnf(1179,plain, % 1.94/1.95 (P2(f31(f32(a47,x11791),f34(f57(x11792),x11791)))), % 1.94/1.95 inference(rename_variables,[],[225])). % 1.94/1.95 cnf(1181,plain, % 1.94/1.95 (P2(f31(f32(a47,x11811),f34(f57(x11812),f34(f57(x11811),x11813))))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1157,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,1139,184,323,1030,1047,170,306,309,165,166,177,311,225,1179,222,1102,223,224,328,1163,281,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775])). % 1.94/1.95 cnf(1184,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(f28(f54(a1),a1)),a43)),a43))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,1139,184,323,1030,1047,170,306,309,165,166,177,311,225,1179,222,1102,223,224,328,1163,281,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790])). % 1.94/1.95 cnf(1185,plain, % 1.94/1.95 (~P2(f29(f30(a45,x11851),x11851))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1190,plain, % 1.94/1.95 (~P2(f29(f30(a45,x11901),x11901))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1192,plain, % 1.94/1.95 (P2(f29(f30(a45,x11921),f28(f54(f28(f54(x11921),f27(a52,x11922))),a43)))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,1139,184,323,1030,1047,170,306,309,165,166,177,311,225,1179,222,1102,223,224,328,1163,281,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828])). % 1.94/1.95 cnf(1194,plain, % 1.94/1.95 (P2(f31(f32(a49,x11941),f34(f57(f34(f57(x11941),a42)),x11942)))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,1139,184,323,1030,1047,170,306,309,165,166,177,311,225,1179,222,1102,223,224,328,1163,281,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841])). % 1.94/1.95 cnf(1199,plain, % 1.94/1.95 (P2(f29(f30(a45,x11991),f28(f54(x11991),a43)))), % 1.94/1.95 inference(rename_variables,[],[222])). % 1.94/1.95 cnf(1201,plain, % 1.94/1.95 (P2(f29(f30(a46,f28(f54(f28(f54(a1),a1)),a43)),a43))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,1139,1144,184,323,1030,1047,170,306,309,165,166,177,311,225,1179,222,1102,1125,223,224,328,1163,281,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885])). % 1.94/1.95 cnf(1202,plain, % 1.94/1.95 (P2(f29(f30(a46,x12021),x12021))), % 1.94/1.95 inference(rename_variables,[],[182])). % 1.94/1.95 cnf(1205,plain, % 1.94/1.95 (P2(f29(f30(a45,x12051),f28(f54(x12051),a43)))), % 1.94/1.95 inference(rename_variables,[],[222])). % 1.94/1.95 cnf(1208,plain, % 1.94/1.95 (P2(f29(f30(a46,x12081),x12081))), % 1.94/1.95 inference(rename_variables,[],[182])). % 1.94/1.95 cnf(1210,plain, % 1.94/1.95 (~P2(f29(f30(a45,a43),f28(f54(f28(f54(a1),a1)),a43)))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1012,182,1092,1120,1139,1144,1202,184,323,1030,1047,170,306,309,165,166,177,311,225,1179,222,1102,1125,1199,223,224,328,1163,281,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894])). % 1.94/1.95 cnf(1211,plain, % 1.94/1.95 (~P2(f29(f30(a45,x12111),x12111))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1214,plain, % 1.94/1.95 (~P2(f29(f30(a45,x12141),x12141))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1220,plain, % 1.94/1.95 (P2(f29(f30(a46,x12201),f28(f54(x12201),f27(a52,x12202))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1222,plain, % 1.94/1.95 (P2(f36(f37(a48,a44),f2(f28(f54(f28(f54(a1),a1)),a43))))), % 1.94/1.95 inference(scs_inference,[],[282,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1012,182,1092,1120,1139,1144,1202,1208,184,323,1030,1047,170,306,309,165,166,177,311,225,1179,222,1102,1125,1199,1205,223,224,328,1163,281,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914])). % 1.94/1.95 cnf(1223,plain, % 1.94/1.95 (P2(f29(f30(a46,x12231),x12231))), % 1.94/1.95 inference(rename_variables,[],[182])). % 1.94/1.95 cnf(1226,plain, % 1.94/1.95 (~P2(f34(f38(a3,x12261),f29(f30(a45,a51),f27(f55(a51),f41(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)))))))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1012,300,154,182,1092,1120,1139,1144,1202,1208,184,323,1030,1047,170,306,309,165,166,177,311,225,1179,222,1102,1125,1199,1205,223,224,328,1163,281,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82])). % 1.94/1.95 cnf(1230,plain, % 1.94/1.95 (P2(f31(f32(a49,a66),f34(f57(a42),a66)))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1012,300,154,182,1092,1120,1139,1144,1202,1208,184,323,1030,1047,170,306,309,165,166,177,307,311,225,1179,222,1102,1125,1199,1205,223,224,328,1163,1166,281,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475])). % 1.94/1.95 cnf(1239,plain, % 1.94/1.95 (P2(f36(f37(a50,x12391),f35(f56(x12391),a44)))), % 1.94/1.95 inference(rename_variables,[],[224])). % 1.94/1.95 cnf(1248,plain, % 1.94/1.95 (P2(f31(f32(a47,a66),x12481))), % 1.94/1.95 inference(rename_variables,[],[180])). % 1.94/1.95 cnf(1253,plain, % 1.94/1.95 (~P2(f29(f30(a45,x12531),x12531))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1256,plain, % 1.94/1.95 (P2(f29(f30(a46,a51),f27(a52,x12561)))), % 1.94/1.95 inference(rename_variables,[],[198])). % 1.94/1.95 cnf(1258,plain, % 1.94/1.95 (~E(f34(f57(a66),x12581),f34(f57(x12581),f34(f59(x12582),a66)))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1012,300,154,182,1092,1120,1139,1144,1202,1208,184,318,198,180,323,1030,1047,170,306,309,165,166,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,328,1163,1166,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605])). % 1.94/1.95 cnf(1265,plain, % 1.94/1.95 (P2(f29(f30(a46,x12651),f28(f54(x12651),f27(a52,x12652))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1270,plain, % 1.94/1.95 (P2(f29(f30(a46,x12701),f28(f54(x12701),f27(a52,x12702))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1272,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(a43),x12721)),x12721))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1012,300,154,182,1092,1120,1139,1144,1202,1208,184,318,198,180,323,1030,1047,170,306,309,165,166,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,328,1163,1166,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692])). % 1.94/1.95 cnf(1273,plain, % 1.94/1.95 (~P2(f29(f30(a45,x12731),x12731))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1275,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(f28(f54(a51),f27(a52,x12751))),x12752)),x12752))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1012,300,154,182,1092,1120,1139,1144,1202,1208,184,318,198,180,323,1030,1047,170,306,309,165,166,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,328,1163,1166,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693])). % 1.94/1.95 cnf(1276,plain, % 1.94/1.95 (~P2(f29(f30(a45,x12761),x12761))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1277,plain, % 1.94/1.95 (P2(f29(f30(a46,x12771),f28(f54(x12771),f27(a52,x12772))))), % 1.94/1.95 inference(rename_variables,[],[1009])). % 1.94/1.95 cnf(1279,plain, % 1.94/1.95 (~P2(f29(f30(a45,a51),f28(f54(a1),a1)))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1012,300,154,182,1092,1120,1139,1144,1202,1208,184,318,198,180,323,1030,1047,170,306,309,165,166,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,328,1163,1166,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694])). % 1.94/1.95 cnf(1282,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(f28(f54(f28(f54(a1),a1)),a43)),a43)),f28(f54(a1),a1)))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1012,300,154,182,1092,1120,1139,1144,1202,1208,184,318,198,180,323,1030,1047,170,306,309,165,166,169,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,328,1163,1166,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695])). % 1.94/1.95 cnf(1287,plain, % 1.94/1.95 (~P2(f31(f32(a49,x12871),x12871))), % 1.94/1.95 inference(rename_variables,[],[318])). % 1.94/1.95 cnf(1289,plain, % 1.94/1.95 (~P2(f36(f37(a50,f35(f56(a44),x12891)),x12891))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1012,300,154,182,1092,1120,1139,1144,1202,1208,184,318,198,180,323,1030,1047,170,306,309,165,166,169,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,328,1163,1166,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702])). % 1.94/1.95 cnf(1290,plain, % 1.94/1.95 (~P2(f36(f37(a50,x12901),x12901))), % 1.94/1.95 inference(rename_variables,[],[1008])). % 1.94/1.95 cnf(1293,plain, % 1.94/1.95 (~P2(f36(f37(a50,x12931),x12931))), % 1.94/1.95 inference(rename_variables,[],[1008])). % 1.94/1.95 cnf(1294,plain, % 1.94/1.95 (P2(f36(f37(a48,x12941),x12941))), % 1.94/1.95 inference(rename_variables,[],[186])). % 1.94/1.95 cnf(1296,plain, % 1.94/1.95 (~P2(f36(f37(a48,f35(f56(a44),x12961)),x12961))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1012,300,154,182,1092,1120,1139,1144,1202,1208,184,186,318,198,180,323,1030,1047,170,306,309,165,166,169,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,328,1163,1166,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704])). % 1.94/1.95 cnf(1299,plain, % 1.94/1.95 (~P2(f36(f37(a48,f35(f56(a44),f35(f56(x12991),a65))),x12991))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1012,300,154,182,1092,1120,1139,1144,1202,1208,184,186,1294,318,198,180,323,1030,1047,170,306,309,165,166,169,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,328,1163,1166,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705])). % 1.94/1.95 cnf(1300,plain, % 1.94/1.95 (P2(f36(f37(a48,x13001),x13001))), % 1.94/1.95 inference(rename_variables,[],[186])). % 1.94/1.95 cnf(1303,plain, % 1.94/1.95 (P2(f36(f37(a48,x13031),x13031))), % 1.94/1.95 inference(rename_variables,[],[186])). % 1.94/1.95 cnf(1309,plain, % 1.94/1.95 (P2(f31(f32(a47,x13091),x13091))), % 1.94/1.95 inference(rename_variables,[],[184])). % 1.94/1.95 cnf(1311,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(x13111),a61)),x13111))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1012,300,154,182,1092,1120,1139,1144,1202,1208,1223,184,186,1294,1300,318,198,180,323,1030,1047,170,306,309,165,166,169,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,328,1163,1166,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809])). % 1.94/1.95 cnf(1313,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(x13131),a61)),x13131))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1012,300,154,182,1092,1120,1139,1144,1202,1208,1223,184,186,1294,1300,318,198,180,323,1030,1047,170,306,309,165,166,169,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,328,1163,1166,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810])). % 1.94/1.95 cnf(1315,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(a61),x13151)),x13151))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1012,300,154,182,1092,1120,1139,1144,1202,1208,1223,184,186,1294,1300,318,198,180,323,1030,1047,170,306,309,165,166,169,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,328,1163,1166,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812])). % 1.94/1.95 cnf(1317,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(x13171),f28(f54(a61),f27(a52,x13172)))),x13171))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,300,154,182,1092,1120,1139,1144,1202,1208,1223,184,186,1294,1300,318,198,180,323,1030,1047,170,306,309,165,166,169,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,328,1163,1166,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813])). % 1.94/1.95 cnf(1323,plain, % 1.94/1.95 (~P2(f31(f32(a47,f34(f57(x13231),f34(f57(f34(f59(x13232),a66)),x13233))),x13233))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,300,154,182,1092,1120,1139,1144,1202,1208,1223,184,186,1294,1300,318,198,180,323,1030,1047,170,306,309,165,166,169,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817])). % 1.94/1.95 cnf(1325,plain, % 1.94/1.95 (~P2(f31(f32(a47,f34(f57(f34(f59(x13251),a66)),f34(f57(x13252),x13253))),x13253))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,300,154,182,1092,1120,1139,1144,1202,1208,1223,184,1309,186,1294,1300,318,198,180,323,1030,1047,170,306,309,165,166,169,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817,819])). % 1.94/1.95 cnf(1327,plain, % 1.94/1.95 (~P2(f36(f37(a50,f35(f56(f35(f56(a44),a44)),x13271)),x13271))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,300,154,182,1092,1120,1139,1144,1202,1208,1223,184,1309,186,1294,1300,318,198,180,323,1030,1047,170,306,309,165,166,169,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,1239,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817,819,820])). % 1.94/1.95 cnf(1328,plain, % 1.94/1.95 (P2(f36(f37(a50,x13281),f35(f56(x13281),a44)))), % 1.94/1.95 inference(rename_variables,[],[224])). % 1.94/1.95 cnf(1330,plain, % 1.94/1.95 (~P2(f36(f37(a48,f35(f56(f35(f56(a44),a44)),x13301)),x13301))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,300,154,182,1092,1120,1139,1144,1202,1208,1223,184,1309,186,1294,1300,318,198,180,323,1030,1047,170,306,309,165,166,169,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,1239,1328,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817,819,820,822])). % 1.94/1.95 cnf(1333,plain, % 1.94/1.95 (~P2(f36(f37(a48,f35(f56(f35(f56(a65),f35(f56(a44),x13331))),a65)),x13331))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,300,154,182,1092,1120,1139,1144,1202,1208,1223,184,1309,186,1294,1300,1303,318,198,180,323,1030,1047,170,306,309,165,166,169,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,1239,1328,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817,819,820,822,823])). % 1.94/1.95 cnf(1338,plain, % 1.94/1.95 (~E(f28(f54(f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(a1),a1)),a43)),a51)), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,300,154,182,1092,1120,1139,1144,1202,1208,1223,184,1309,186,1294,1300,1303,318,198,180,323,1030,1047,170,306,309,165,166,169,177,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,1239,1328,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817,819,820,822,823,575,576])). % 1.94/1.95 cnf(1342,plain, % 1.94/1.95 (~P2(f31(f32(a49,a66),f10(f34(f59(x13421),a66),f32(a49,a66))))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,300,303,154,182,1092,1120,1139,1144,1202,1208,1223,184,1309,186,1294,1300,1303,318,1287,198,180,323,1030,1047,170,306,309,165,166,169,177,178,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,1239,1328,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817,819,820,822,823,575,576,577,640])). % 1.94/1.95 cnf(1343,plain, % 1.94/1.95 (P2(f31(f32(a47,x13431),x13431))), % 1.94/1.95 inference(rename_variables,[],[184])). % 1.94/1.95 cnf(1346,plain, % 1.94/1.95 (E(f28(f54(f27(a52,a66)),f27(a52,a66)),a51)), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,101,300,303,154,182,1092,1120,1139,1144,1202,1208,1223,184,1309,186,1294,1300,1303,318,1287,198,1256,180,323,1030,1047,170,306,309,165,166,169,177,178,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,1239,1328,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817,819,820,822,823,575,576,577,640,565])). % 1.94/1.95 cnf(1373,plain, % 1.94/1.95 (P2(f29(f30(a46,f28(f54(f28(f54(a1),a1)),a43)),f28(f54(f28(f54(f28(f54(a1),a1)),a43)),a43)))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,101,300,303,154,103,108,182,1092,1120,1139,1144,1202,1208,1223,184,1309,1343,186,1294,1300,1303,318,1287,198,1256,180,1248,202,323,1030,1047,170,306,309,165,166,169,177,178,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,1239,1328,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817,819,820,822,823,575,576,577,640,565,566,691,710,424,427,428,7,22,380,422,430,467])). % 1.94/1.95 cnf(1379,plain, % 1.94/1.95 (~P2(f36(f37(a50,f35(f56(f35(f56(a65),f35(f56(a44),x13791))),a65)),x13791))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,101,300,303,154,103,108,182,1092,1120,1139,1144,1202,1208,1223,184,1309,1343,186,1294,1300,1303,318,1287,198,1256,180,1248,202,323,1030,1047,170,306,309,165,166,169,177,178,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,1239,1328,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817,819,820,822,823,575,576,577,640,565,566,691,710,424,427,428,7,22,380,422,430,467,471,509,515])). % 1.94/1.95 cnf(1385,plain, % 1.94/1.95 (~P2(f31(f32(a47,f34(f57(f34(f57(x13851),x13852)),f34(f59(x13853),a66))),x13851))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,101,300,303,154,103,108,182,1092,1120,1139,1144,1202,1208,1223,184,1309,1343,186,1294,1300,1303,318,1287,198,1256,180,1248,202,323,1030,1047,170,306,309,165,166,169,177,178,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,1239,1328,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817,819,820,822,823,575,576,577,640,565,566,691,710,424,427,428,7,22,380,422,430,467,471,509,515,533,611,612])). % 1.94/1.95 cnf(1387,plain, % 1.94/1.95 (P2(f29(f30(a46,a43),f28(f54(f28(f54(a1),a1)),a43)))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,101,300,303,154,103,108,182,1092,1120,1139,1144,1202,1208,1223,184,1309,1343,186,1294,1300,1303,318,1287,198,1256,180,1248,202,323,1030,1047,170,306,309,165,166,169,177,178,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,1239,1328,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817,819,820,822,823,575,576,577,640,565,566,691,710,424,427,428,7,22,380,422,430,467,471,509,515,533,611,612,628])). % 1.94/1.95 cnf(1389,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(f28(f54(a1),a1)),a43)),a1))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,101,300,303,154,103,108,182,1092,1120,1139,1144,1202,1208,1223,184,1309,1343,186,1294,1300,1303,318,1287,198,1256,180,1248,202,323,1030,1047,170,306,309,165,166,169,177,178,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,1239,1328,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817,819,820,822,823,575,576,577,640,565,566,691,710,424,427,428,7,22,380,422,430,467,471,509,515,533,611,612,628,656])). % 1.94/1.95 cnf(1393,plain, % 1.94/1.95 (~P2(f36(f37(a50,f35(f56(a65),f35(f56(a44),f35(f56(x13931),a65)))),x13931))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,101,300,303,154,103,108,182,1092,1120,1139,1144,1202,1208,1223,184,1309,1343,186,1294,1300,1303,318,1287,198,1256,180,1248,202,323,1030,1047,170,306,309,165,166,169,177,178,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,1239,1328,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817,819,820,822,823,575,576,577,640,565,566,691,710,424,427,428,7,22,380,422,430,467,471,509,515,533,611,612,628,656,752,756])). % 1.94/1.95 cnf(1397,plain, % 1.94/1.95 (P2(f29(f30(a46,f28(f54(a1),a1)),f28(f54(f28(f54(a1),a1)),a43)))), % 1.94/1.95 inference(scs_inference,[],[282,1027,1006,1043,1076,1079,1082,1089,1108,1136,1157,1160,1185,1190,1211,1214,1253,1273,1276,1008,1290,1293,1028,1010,1009,1061,1064,1067,1070,1073,1099,1105,1111,1114,1117,1133,1171,1220,1265,1270,1277,1012,101,300,303,154,103,108,182,1092,1120,1139,1144,1202,1208,1223,184,1309,1343,186,1294,1300,1303,318,1287,198,1256,180,1248,202,323,1030,1047,170,306,309,165,166,169,177,178,307,311,225,1179,222,1102,1125,1199,1205,223,1176,224,1130,1239,1328,328,1163,1166,329,281,286,331,352,372,383,442,447,448,464,2,14,15,434,438,440,441,449,450,451,452,453,454,455,457,458,459,465,479,480,482,483,485,490,491,492,493,496,497,500,501,502,506,507,508,522,527,532,544,550,551,572,573,574,607,608,609,610,619,726,743,771,774,775,790,791,792,828,841,844,884,885,886,887,894,896,911,912,914,3,82,473,475,476,486,487,488,516,519,521,543,555,605,614,615,625,629,632,692,693,694,695,696,699,702,703,704,705,706,779,784,809,810,812,813,816,817,819,820,822,823,575,576,577,640,565,566,691,710,424,427,428,7,22,380,422,430,467,471,509,515,533,611,612,628,656,752,756,761,834])). % 1.94/1.95 cnf(1428,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(x14281),a43)),x14281))), % 1.94/1.95 inference(rename_variables,[],[1159])). % 1.94/1.95 cnf(1430,plain, % 1.94/1.95 (~P2(f36(f37(a48,a44),f2(f28(f54(a1),a1))))), % 1.94/1.95 inference(scs_inference,[],[1159,1428,895,897])). % 1.94/1.95 cnf(1436,plain, % 1.94/1.95 (~P2(f36(f37(a48,f35(f56(a44),f35(f56(x14361),a65))),x14361))), % 1.94/1.95 inference(rename_variables,[],[1299])). % 1.94/1.95 cnf(1450,plain, % 1.94/1.95 (P2(f29(f30(a45,x14501),f28(f54(f28(f54(x14501),a43)),f27(a52,x14502))))), % 1.94/1.95 inference(rename_variables,[],[1170])). % 1.94/1.95 cnf(1455,plain, % 1.94/1.95 (P2(f31(f32(a47,x14551),f34(f57(x14552),f34(f57(x14553),x14551))))), % 1.94/1.95 inference(rename_variables,[],[1178])). % 1.94/1.95 cnf(1470,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(x14701),f28(f54(a61),f27(a52,x14702)))),x14701))), % 1.94/1.95 inference(rename_variables,[],[1317])). % 1.94/1.95 cnf(1473,plain, % 1.94/1.95 (~P2(f31(f32(a49,f34(f57(x14731),f34(f57(x14732),x14733))),x14733))), % 1.94/1.95 inference(rename_variables,[],[1162])). % 1.94/1.95 cnf(1478,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(x14781),a43)),x14781))), % 1.94/1.95 inference(rename_variables,[],[1156])). % 1.94/1.95 cnf(1480,plain, % 1.94/1.95 (P2(f29(f30(a46,a43),f28(f54(f28(f54(f28(f54(a1),a1)),a43)),a43)))), % 1.94/1.95 inference(scs_inference,[],[215,1094,1279,1387,1373,1124,1141,1178,1162,1317,1385,1393,1299,1436,1156,1159,1428,1170,1119,1122,307,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912])). % 1.94/1.95 cnf(1483,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(x14831),a43)),x14831))), % 1.94/1.95 inference(rename_variables,[],[1156])). % 1.94/1.95 cnf(1488,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(f28(f54(a51),f27(a52,x14881))),x14882)),x14882))), % 1.94/1.95 inference(rename_variables,[],[1275])). % 1.94/1.95 cnf(1495,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(a43),x14951)),x14951))), % 1.94/1.95 inference(rename_variables,[],[1272])). % 1.94/1.95 cnf(1498,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(a43),x14981)),x14981))), % 1.94/1.95 inference(rename_variables,[],[1272])). % 1.94/1.95 cnf(1503,plain, % 1.94/1.95 (~P2(f31(f32(a47,f34(f57(x15031),f34(f57(f34(f59(x15032),a66)),x15033))),x15033))), % 1.94/1.95 inference(rename_variables,[],[1323])). % 1.94/1.95 cnf(1507,plain, % 1.94/1.95 (E(f34(f57(x15071),f9(x15071,f34(f57(x15071),x15072))),f34(f57(x15071),x15072))), % 1.94/1.95 inference(scs_inference,[],[215,216,226,1094,1168,1279,1387,1373,1124,1141,1178,1162,1323,1275,1317,1385,1272,1495,1393,1299,1436,1156,1478,1159,1428,1170,1119,1122,307,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482])). % 1.94/1.95 cnf(1509,plain, % 1.94/1.95 (P2(f31(f32(a47,x15091),f34(f57(f34(f57(x15091),x15092)),x15093)))), % 1.94/1.95 inference(scs_inference,[],[215,216,226,1094,1168,1279,1387,1373,1124,1141,1178,1162,1323,1275,1317,1385,1272,1495,1393,1299,1436,1156,1478,1159,1428,1170,1119,1122,307,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775])). % 1.94/1.95 cnf(1510,plain, % 1.94/1.95 (P2(f31(f32(a47,x15101),f34(f57(x15101),x15102)))), % 1.94/1.95 inference(rename_variables,[],[226])). % 1.94/1.95 cnf(1515,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(f28(f54(a51),f27(a52,x15151))),x15152)),x15152))), % 1.94/1.95 inference(rename_variables,[],[1275])). % 1.94/1.95 cnf(1530,plain, % 1.94/1.95 (P2(f29(f30(a45,x15301),f28(f54(f28(f54(x15301),a43)),f27(a52,x15302))))), % 1.94/1.95 inference(rename_variables,[],[1170])). % 1.94/1.95 cnf(1542,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(x15421),f28(f54(a61),f27(a52,x15422)))),x15421))), % 1.94/1.95 inference(rename_variables,[],[1317])). % 1.94/1.95 cnf(1547,plain, % 1.94/1.95 (~E(f28(f54(x15471),a43),x15471)), % 1.94/1.95 inference(rename_variables,[],[1042])). % 1.94/1.95 cnf(1555,plain, % 1.94/1.95 (P2(f31(f32(a49,x15551),f34(f57(f34(f57(x15551),a42)),x15552)))), % 1.94/1.95 inference(rename_variables,[],[1194])). % 1.94/1.95 cnf(1564,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(a43),x15641)),x15641))), % 1.94/1.95 inference(rename_variables,[],[1272])). % 1.94/1.95 cnf(1566,plain, % 1.94/1.95 (~E(f28(f54(f28(f54(a51),f27(a52,x15661))),f28(f54(x15662),a43)),x15662)), % 1.94/1.95 inference(scs_inference,[],[1042,1346,215,214,216,226,1094,1168,1279,1387,1210,1373,1124,1282,1141,1178,1162,1397,1330,1323,1275,1488,1515,1317,1470,1385,1272,1495,1498,1194,1393,1299,1436,1156,1478,1159,1428,1170,1450,1086,1119,1122,307,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464])). % 1.94/1.95 cnf(1567,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(f28(f54(a51),f27(a52,x15671))),x15672)),x15672))), % 1.94/1.95 inference(rename_variables,[],[1275])). % 1.94/1.95 cnf(1569,plain, % 1.94/1.95 (~E(f34(f57(x15691),f34(f57(f34(f59(x15692),a66)),x15693)),x15693)), % 1.94/1.95 inference(scs_inference,[],[1042,1346,215,214,216,226,1094,1168,1279,1387,1210,1373,1124,1282,1141,1178,1162,1397,1330,1323,1503,1275,1488,1515,1317,1470,1385,1272,1495,1498,1194,1393,1299,1436,1156,1478,1159,1428,1170,1450,1086,1119,1122,307,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427])). % 1.94/1.95 cnf(1578,plain, % 1.94/1.95 (P2(f36(f37(a50,a44),f62(f62(f35(f56(a44),a44)))))), % 1.94/1.95 inference(scs_inference,[],[1042,1346,215,214,216,226,1094,1168,1279,1387,1210,1373,1129,1124,1282,1141,1178,1162,1397,1330,1323,1503,1275,1488,1515,1317,1470,1385,1272,1495,1498,1194,1393,1299,1436,1156,1478,1159,1428,1170,1450,1086,1119,1122,307,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507])). % 1.94/1.95 cnf(1587,plain, % 1.94/1.95 (~P2(f31(f32(a47,f34(f57(f34(f57(x15871),x15872)),f34(f59(x15873),a66))),x15871))), % 1.94/1.95 inference(rename_variables,[],[1385])). % 1.94/1.95 cnf(1596,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(a43),x15961)),x15961))), % 1.94/1.95 inference(rename_variables,[],[1272])). % 1.94/1.95 cnf(1603,plain, % 1.94/1.95 (~P2(f31(f32(a49,f34(f57(x16031),f34(f57(x16032),x16033))),x16033))), % 1.94/1.95 inference(rename_variables,[],[1162])). % 1.94/1.95 cnf(1609,plain, % 1.94/1.95 (~P2(f36(f37(a48,f2(f28(f54(x16091),f28(f54(a61),f27(a52,x16092))))),f2(x16091)))), % 1.94/1.95 inference(scs_inference,[],[1042,1346,215,214,216,226,1094,1168,1279,1387,1210,1373,1129,1124,1282,1141,1178,1162,1473,1397,1330,1323,1503,1275,1488,1515,1317,1470,1542,1385,1272,1495,1498,1564,1194,1393,1299,1436,1156,1478,1159,1428,1170,1450,1086,1119,1201,1122,307,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507,550,508,450,752,424,887,428,455,726,449,610,914,485,574])). % 1.94/1.95 cnf(1614,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(f28(f54(a51),f27(a52,x16141))),x16142)),x16142))), % 1.94/1.95 inference(rename_variables,[],[1275])). % 1.94/1.95 cnf(1617,plain, % 1.94/1.95 (~E(f34(f57(a66),x16171),f34(f57(x16171),f34(f59(x16172),a66)))), % 1.94/1.95 inference(rename_variables,[],[1258])). % 1.94/1.95 cnf(1619,plain, % 1.94/1.95 (P2(f31(f32(a47,x16191),f34(f57(f34(f57(x16192),f34(f57(x16193),x16191))),x16194)))), % 1.94/1.95 inference(scs_inference,[],[1042,1346,215,214,216,226,1510,1094,1168,1279,1387,1210,1373,1129,1124,1282,1141,1178,1455,1162,1473,1397,1330,1323,1503,1275,1488,1515,1567,1317,1470,1542,1385,1272,1495,1498,1564,1194,1393,1299,1436,1156,1478,1159,1428,1170,1450,1258,1086,1119,1201,1122,307,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507,550,508,450,752,424,887,428,455,726,449,610,914,485,574,527,607,22,15,635])). % 1.94/1.95 cnf(1620,plain, % 1.94/1.95 (P2(f31(f32(a47,x16201),f34(f57(x16201),x16202)))), % 1.94/1.95 inference(rename_variables,[],[226])). % 1.94/1.95 cnf(1626,plain, % 1.94/1.95 (P2(f29(f30(a46,x16261),x16261))), % 1.94/1.95 inference(rename_variables,[],[182])). % 1.94/1.95 cnf(1635,plain, % 1.94/1.95 (P2(f36(f37(a48,x16351),x16351))), % 1.94/1.95 inference(rename_variables,[],[186])). % 1.94/1.95 cnf(1641,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(f28(f54(a51),f27(a52,x16411))),x16412)),x16412))), % 1.94/1.95 inference(rename_variables,[],[1275])). % 1.94/1.95 cnf(1644,plain, % 1.94/1.95 (P2(f31(f32(a47,a66),x16441))), % 1.94/1.95 inference(rename_variables,[],[180])). % 1.94/1.95 cnf(1657,plain, % 1.94/1.95 (~P2(f36(f37(a48,f35(f56(f35(f56(a44),a44)),x16571)),x16571))), % 1.94/1.95 inference(rename_variables,[],[1330])). % 1.94/1.95 cnf(1660,plain, % 1.94/1.95 (P2(f29(f30(a45,x16601),f28(f54(f28(f54(x16601),a43)),f27(a52,x16602))))), % 1.94/1.95 inference(rename_variables,[],[1170])). % 1.94/1.95 cnf(1665,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(f28(f54(a1),a1)),a43)),a1))), % 1.94/1.95 inference(scs_inference,[],[1034,1042,1346,1029,178,215,214,216,226,1510,1094,1168,1279,1387,1210,1373,1222,1129,1124,1282,1141,1178,1455,1162,1473,1397,1173,1330,1323,1503,1275,1488,1515,1567,1614,1317,1470,1542,1385,1272,1495,1498,1564,1596,1289,1194,1555,1393,1299,1436,1156,1478,1159,1428,1311,1333,1170,1450,1530,1258,1086,1119,1389,1201,1122,321,182,186,180,307,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507,550,508,450,752,424,887,428,455,726,449,610,914,485,574,527,607,22,15,635,638,778,821,815,788,816,694,784,543,629,614,555,705,486,488,516])). % 1.94/1.95 cnf(1669,plain, % 1.94/1.95 (~P2(f36(f37(a50,f35(f56(f35(f56(a44),a44)),x16691)),x16691))), % 1.94/1.95 inference(rename_variables,[],[1327])). % 1.94/1.95 cnf(1674,plain, % 1.94/1.95 (~P2(f36(f37(a50,f35(f56(f35(f56(a44),a44)),x16741)),x16741))), % 1.94/1.95 inference(rename_variables,[],[1327])). % 1.94/1.95 cnf(1675,plain, % 1.94/1.95 (P2(f36(f37(a50,x16751),f35(f56(x16751),a44)))), % 1.94/1.95 inference(rename_variables,[],[224])). % 1.94/1.95 cnf(1678,plain, % 1.94/1.95 (~P2(f29(f30(a45,x16781),x16781))), % 1.94/1.95 inference(rename_variables,[],[1006])). % 1.94/1.95 cnf(1681,plain, % 1.94/1.95 (~P2(f36(f37(a50,f35(f56(f35(f56(a44),a44)),x16811)),x16811))), % 1.94/1.95 inference(rename_variables,[],[1327])). % 1.94/1.95 cnf(1684,plain, % 1.94/1.95 (~P2(f31(f32(a49,f34(f57(x16841),f34(f57(x16842),x16843))),x16843))), % 1.94/1.95 inference(rename_variables,[],[1162])). % 1.94/1.95 cnf(1687,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(x16871),f28(f54(a61),f27(a52,x16872)))),x16871))), % 1.94/1.95 inference(rename_variables,[],[1317])). % 1.94/1.95 cnf(1690,plain, % 1.94/1.95 (~P2(f36(f37(a50,f35(f56(f35(f56(a44),a44)),x16901)),x16901))), % 1.94/1.95 inference(rename_variables,[],[1327])). % 1.94/1.95 cnf(1696,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(a61),x16961)),x16961))), % 1.94/1.95 inference(rename_variables,[],[1315])). % 1.94/1.95 cnf(1700,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(x17001),f28(f54(a61),f27(a52,x17002)))),x17001))), % 1.94/1.95 inference(rename_variables,[],[1317])). % 1.94/1.95 cnf(1709,plain, % 1.94/1.95 (P2(f31(f32(a47,a66),x17091))), % 1.94/1.95 inference(rename_variables,[],[180])). % 1.94/1.95 cnf(1711,plain, % 1.94/1.95 (~P2(f31(f32(a47,f34(f57(x17111),f34(f57(f34(f57(a42),a42)),x17112))),x17112))), % 1.94/1.95 inference(scs_inference,[],[1034,1042,1346,1029,1006,178,215,214,216,226,1510,1094,1168,1279,1387,1210,1373,1222,1129,1342,1124,1282,1141,1178,1455,1162,1473,1603,1684,1397,1173,1327,1669,1674,1681,1330,1323,1503,1275,1488,1515,1567,1614,1317,1470,1542,1687,1385,1272,1495,1498,1564,1596,1289,1315,1194,1555,1393,1299,1436,1156,1478,1159,1428,1311,1333,1379,1170,1450,1530,1258,1086,1119,1389,1201,1122,321,182,1626,186,1635,180,1644,307,224,1675,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507,550,508,450,752,424,887,428,455,726,449,610,914,485,574,527,607,22,15,635,638,778,821,815,788,816,694,784,543,629,614,555,705,486,488,516,702,615,820,693,704,699,695,822,605,780,641,625,787,519,817])). % 1.94/1.95 cnf(1712,plain, % 1.94/1.95 (~P2(f31(f32(a49,f34(f57(x17121),f34(f57(x17122),x17123))),x17123))), % 1.94/1.95 inference(rename_variables,[],[1162])). % 1.94/1.95 cnf(1717,plain, % 1.94/1.95 (P2(f29(f30(a46,a1),f28(f54(f28(f54(a1),a1)),a43)))), % 1.94/1.95 inference(scs_inference,[],[1034,1042,1346,1029,1006,178,215,214,216,226,1510,1094,1168,1279,1387,1210,1373,1222,1129,1342,1124,1282,1141,1178,1455,1162,1473,1603,1684,1397,1173,1327,1669,1674,1681,1330,1323,1503,1275,1488,1515,1567,1614,1317,1470,1542,1687,1385,1272,1495,1498,1564,1596,1289,1296,1315,1194,1555,1393,1299,1436,1156,1478,1159,1428,1311,1333,1379,1170,1450,1530,1258,1086,1119,1389,1201,1122,321,182,1626,186,1635,180,1644,307,224,1675,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507,550,508,450,752,424,887,428,455,726,449,610,914,485,574,527,607,22,15,635,638,778,821,815,788,816,694,784,543,629,614,555,705,486,488,516,702,615,820,693,704,699,695,822,605,780,641,625,787,519,817,823,632])). % 1.94/1.95 cnf(1722,plain, % 1.94/1.95 (~P2(f29(f30(a46,a61),f28(f54(a1),a1)))), % 1.94/1.95 inference(scs_inference,[],[1034,1042,1346,1029,1006,178,215,214,216,226,1510,1094,1168,1279,1387,1210,1373,1222,1129,1342,1124,1282,1141,1178,1455,1162,1473,1603,1684,1397,1173,1327,1669,1674,1681,1330,1323,1503,1275,1488,1515,1567,1614,1317,1470,1542,1687,1700,1385,1272,1495,1498,1564,1596,1289,1296,1315,1696,1194,1555,1393,1299,1436,1156,1478,1159,1428,1311,1333,1379,1170,1450,1530,1258,1086,1119,1389,1201,1122,321,182,1626,186,1635,180,1644,307,224,1675,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507,550,508,450,752,424,887,428,455,726,449,610,914,485,574,527,607,22,15,635,638,778,821,815,788,816,694,784,543,629,614,555,705,486,488,516,702,615,820,693,704,699,695,822,605,780,641,625,787,519,817,823,632,696,813])). % 1.94/1.95 cnf(1726,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(f28(f54(a51),f27(a52,x17261))),x17262)),x17262))), % 1.94/1.95 inference(rename_variables,[],[1275])). % 1.94/1.95 cnf(1733,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(f28(f54(a43),a43)),x17331)),x17331))), % 1.94/1.95 inference(scs_inference,[],[1034,1042,1346,1029,1006,1678,178,215,214,216,226,1510,1094,1168,1279,1387,1210,1373,1222,1129,1342,1124,1282,1141,1178,1455,1162,1473,1603,1684,1397,1173,1327,1669,1674,1681,1330,1323,1503,1275,1488,1515,1567,1614,1641,1726,1317,1470,1542,1687,1700,1385,1272,1495,1498,1564,1596,1289,1296,1315,1696,1194,1555,1393,1299,1436,1156,1478,1159,1428,1311,1333,1379,1170,1450,1530,1660,1258,1086,1119,1389,1201,1122,321,288,182,1626,186,1635,180,1644,307,224,1675,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507,550,508,450,752,424,887,428,455,726,449,610,914,485,574,527,607,22,15,635,638,778,821,815,788,816,694,784,543,629,614,555,705,486,488,516,702,615,820,693,704,699,695,822,605,780,641,625,787,519,817,823,632,696,813,809,810,692])). % 1.94/1.95 cnf(1736,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(x17361),f28(f54(f28(f54(a1),a1)),a43))),x17361))), % 1.94/1.95 inference(scs_inference,[],[1034,1042,1346,1029,1006,1678,178,215,214,216,226,1510,1094,1168,1279,1387,1210,1373,1222,1129,1342,1124,1282,1141,1178,1455,1162,1473,1603,1684,1397,1173,1327,1669,1674,1681,1330,1323,1503,1275,1488,1515,1567,1614,1641,1726,1317,1470,1542,1687,1700,1385,1272,1495,1498,1564,1596,1289,1296,1315,1696,1194,1555,1393,1299,1436,1156,1478,1483,1159,1428,1311,1333,1379,1170,1450,1530,1660,1258,1086,1119,1389,1201,1122,321,288,182,1626,186,1635,180,1644,307,224,1675,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507,550,508,450,752,424,887,428,455,726,449,610,914,485,574,527,607,22,15,635,638,778,821,815,788,816,694,784,543,629,614,555,705,486,488,516,702,615,820,693,704,699,695,822,605,780,641,625,787,519,817,823,632,696,813,809,810,692,812])). % 1.94/1.95 cnf(1745,plain, % 1.94/1.95 (~P2(f36(f37(a50,f35(f56(f35(f56(a44),a44)),f35(f56(a44),x17451))),x17451))), % 1.94/1.95 inference(scs_inference,[],[1034,1042,1346,1029,1006,1678,178,215,214,216,226,1510,1094,1168,1279,1387,1210,1373,1222,1129,1342,1124,1282,1141,1178,1455,1162,1473,1603,1684,1712,1397,1173,1327,1669,1674,1681,1690,1330,1323,1503,1275,1488,1515,1567,1614,1641,1726,1317,1470,1542,1687,1700,1385,1272,1495,1498,1564,1596,1289,1296,1315,1696,1194,1555,1393,1299,1436,1156,1478,1483,1159,1428,1311,1333,1379,1170,1450,1530,1660,1258,1086,1119,1389,1201,1122,1050,321,288,182,1626,186,1635,180,1644,307,224,1675,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507,550,508,450,752,424,887,428,455,726,449,610,914,485,574,527,607,22,15,635,638,778,821,815,788,816,694,784,543,629,614,555,705,486,488,516,702,615,820,693,704,699,695,822,605,780,641,625,787,519,817,823,632,696,813,809,810,692,812,487,475,703])). % 1.94/1.95 cnf(1748,plain, % 1.94/1.95 (~P2(f31(f32(a47,f34(f57(x17481),f34(f57(f34(f57(f34(f59(x17482),a66)),x17483)),x17484))),x17484))), % 1.94/1.95 inference(scs_inference,[],[1034,1042,1346,1029,1006,1678,178,215,214,216,226,1510,1620,1094,1168,1279,1387,1210,1373,1222,1129,1342,1124,1282,1141,1178,1455,1162,1473,1603,1684,1712,1397,1173,1327,1669,1674,1681,1690,1330,1323,1503,1275,1488,1515,1567,1614,1641,1726,1325,1317,1470,1542,1687,1700,1385,1272,1495,1498,1564,1596,1289,1296,1315,1696,1194,1555,1393,1299,1436,1156,1478,1483,1159,1428,1311,1333,1379,1170,1450,1530,1660,1258,1086,1119,1389,1201,1122,1050,321,288,182,1626,186,1635,180,1644,307,224,1675,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507,550,508,450,752,424,887,428,455,726,449,610,914,485,574,527,607,22,15,635,638,778,821,815,788,816,694,784,543,629,614,555,705,486,488,516,702,615,820,693,704,699,695,822,605,780,641,625,787,519,817,823,632,696,813,809,810,692,812,487,475,703,819])). % 1.94/1.95 cnf(1750,plain, % 1.94/1.95 (P2(f31(f32(a47,x17501),f34(f57(x17501),x17502)))), % 1.94/1.95 inference(rename_variables,[],[226])). % 1.94/1.95 cnf(1752,plain, % 1.94/1.95 (~P2(f36(f37(a48,f35(f56(f35(f56(a44),a44)),f35(f56(a44),x17521))),x17521))), % 1.94/1.95 inference(scs_inference,[],[1034,1042,1346,1029,1006,1678,178,215,214,216,226,1510,1620,1094,1168,1279,1387,1210,1373,1222,1129,1342,1124,1282,1141,1178,1455,1162,1473,1603,1684,1712,1397,1173,1327,1669,1674,1681,1690,1330,1657,1323,1503,1275,1488,1515,1567,1614,1641,1726,1325,1317,1470,1542,1687,1700,1385,1272,1495,1498,1564,1596,1289,1296,1315,1696,1194,1555,1393,1299,1436,1156,1478,1483,1159,1428,1311,1333,1379,1170,1450,1530,1660,1258,1086,1119,1389,1201,1122,1050,321,288,182,1626,186,1635,180,1644,307,224,1675,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507,550,508,450,752,424,887,428,455,726,449,610,914,485,574,527,607,22,15,635,638,778,821,815,788,816,694,784,543,629,614,555,705,486,488,516,702,615,820,693,704,699,695,822,605,780,641,625,787,519,817,823,632,696,813,809,810,692,812,487,475,703,819,706])). % 1.94/1.95 cnf(1761,plain, % 1.94/1.95 (~P2(f31(f32(a47,a42),f10(f34(f57(a42),x17611),f32(a47,a42))))), % 1.94/1.95 inference(scs_inference,[],[282,1034,1226,1042,1547,1346,1029,1006,1678,115,178,215,214,216,311,226,1510,1620,1750,1094,1168,1279,1387,1210,1373,1222,1129,1342,1124,1282,1141,1178,1455,1162,1473,1603,1684,1712,1397,1173,1327,1669,1674,1681,1690,1330,1657,1323,1503,1275,1488,1515,1567,1614,1641,1726,1325,1317,1470,1542,1687,1700,1385,1272,1495,1498,1564,1596,1289,1296,1315,1696,1194,1555,1393,1299,1436,1156,1478,1483,1159,1428,1311,1333,1379,1170,1450,1530,1660,1258,1086,1119,1389,1201,1122,1338,1050,321,288,182,1626,186,1635,180,1644,307,224,1675,281,184,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507,550,508,450,752,424,887,428,455,726,449,610,914,485,574,527,607,22,15,635,638,778,821,815,788,816,694,784,543,629,614,555,705,486,488,516,702,615,820,693,704,699,695,822,605,780,641,625,787,519,817,823,632,696,813,809,810,692,812,487,475,703,819,706,82,3,575,640])). % 1.94/1.95 cnf(1763,plain, % 1.94/1.95 (P2(f31(f32(a47,x17631),f34(f57(x17631),x17632)))), % 1.94/1.95 inference(rename_variables,[],[226])). % 1.94/1.95 cnf(1783,plain, % 1.94/1.95 (P2(f29(f30(a46,f28(f54(a1),a1)),a1))), % 1.94/1.95 inference(scs_inference,[],[282,1034,1226,1042,1547,1346,1029,1006,1678,115,178,138,215,214,216,311,226,1510,1620,1750,1763,1094,1168,1279,1387,1210,1373,1222,1129,87,1342,1124,1282,1141,1178,1455,1162,1473,1603,1684,1712,1397,1173,1327,1669,1674,1681,1690,1330,1657,1323,1503,1275,1488,1515,1567,1614,1641,1726,1325,1317,1470,1542,1687,1700,1385,1272,1495,1498,1564,1596,1289,1296,1315,1696,1194,1555,1393,1299,1436,1156,1478,1483,1159,1428,1311,1333,1379,1170,1450,1530,1660,1258,1617,1086,1119,1389,1201,1122,1338,1050,174,321,288,182,1626,186,1635,180,1644,1709,307,224,1675,281,184,170,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507,550,508,450,752,424,887,428,455,726,449,610,914,485,574,527,607,22,15,635,638,778,821,815,788,816,694,784,543,629,614,555,705,486,488,516,702,615,820,693,704,699,695,822,605,780,641,625,787,519,817,823,632,696,813,809,810,692,812,487,475,703,819,706,82,3,575,640,565,691,710,394,23,749,412,534,501])). % 1.94/1.95 cnf(1787,plain, % 1.94/1.95 (P2(f31(f32(a49,x17871),f34(f57(f34(f57(f34(f57(x17871),x17872)),x17873)),a42)))), % 1.94/1.95 inference(scs_inference,[],[282,1034,1226,1042,1547,1346,1029,1006,1678,115,178,138,215,214,216,311,226,1510,1620,1750,1763,1094,1168,1279,1387,1210,1373,1222,1129,87,1342,1124,1282,1141,1178,1455,1162,1473,1603,1684,1712,1397,1173,1327,1669,1674,1681,1690,1330,1657,1323,1503,1275,1488,1515,1567,1614,1641,1726,1325,1317,1470,1542,1687,1700,1385,1587,1272,1495,1498,1564,1596,1289,1296,1315,1696,1194,1555,1393,1299,1436,1156,1478,1483,1159,1428,1311,1333,1379,1170,1450,1530,1660,1258,1617,1086,1119,1389,1201,1122,1338,1050,174,321,288,182,1626,186,1635,180,1644,1709,307,224,1675,281,184,170,895,897,390,759,754,469,405,846,497,502,544,774,447,491,515,459,572,522,791,609,441,896,912,894,448,790,452,573,457,458,483,611,440,482,775,506,608,465,792,453,442,886,509,490,885,496,454,2,480,430,551,14,628,533,471,771,467,451,438,479,464,427,434,532,612,507,550,508,450,752,424,887,428,455,726,449,610,914,485,574,527,607,22,15,635,638,778,821,815,788,816,694,784,543,629,614,555,705,486,488,516,702,615,820,693,704,699,695,822,605,780,641,625,787,519,817,823,632,696,813,809,810,692,812,487,475,703,819,706,82,3,575,640,565,691,710,394,23,749,412,534,501,513,841])). % 1.94/1.95 cnf(1836,plain, % 1.94/1.95 (~P2(f31(f32(a47,f34(f57(x18361),f34(f57(f34(f57(a42),a42)),x18362))),x18362))), % 1.94/1.95 inference(rename_variables,[],[1711])). % 1.94/1.95 cnf(1850,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(x18501),a61)),x18501))), % 1.94/1.95 inference(rename_variables,[],[1313])). % 1.94/1.95 cnf(1862,plain, % 1.94/1.95 (~E(f34(f57(x18621),f34(f57(f34(f59(x18622),a66)),x18623)),x18623)), % 1.94/1.95 inference(rename_variables,[],[1569])). % 1.94/1.95 cnf(1879,plain, % 1.94/1.95 (P2(f29(f30(a45,x18791),f28(f54(f28(f54(x18791),f27(a52,x18792))),a43)))), % 1.94/1.95 inference(rename_variables,[],[1192])). % 1.94/1.95 cnf(1882,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(x18821),f28(f54(f28(f54(a1),a1)),a43))),x18821))), % 1.94/1.95 inference(rename_variables,[],[1736])). % 1.94/1.95 cnf(1904,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(x19041),a61)),x19041))), % 1.94/1.95 inference(rename_variables,[],[1313])). % 1.94/1.95 cnf(1907,plain, % 1.94/1.95 (~P2(f29(f30(a46,f28(f54(x19071),a61)),x19071))), % 1.94/1.95 inference(rename_variables,[],[1313])). % 1.94/1.95 cnf(1920,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(x19201),f28(f54(f28(f54(a1),a1)),a43))),x19201))), % 1.94/1.95 inference(rename_variables,[],[1736])). % 1.94/1.95 cnf(1935,plain, % 1.94/1.95 (~P2(f29(f30(a45,f28(f54(x19351),f28(f54(f28(f54(a1),a1)),a43))),x19351))), % 1.94/1.95 inference(rename_variables,[],[1736])). % 1.94/1.95 cnf(1979,plain, % 1.94/1.95 ($false), % 1.94/1.95 inference(scs_inference,[],[1569,1862,1566,1032,222,1230,1210,1181,223,281,1313,1850,1904,1907,1127,1192,1879,1184,198,170,1507,1717,1430,1480,1578,1761,1722,1165,1509,1619,1736,1882,1920,1935,1748,1711,1836,1733,1609,1745,1752,1787,1665,1783,1084,1389,182,846,754,897,497,469,491,894,412,506,447,611,440,896,844,759,496,791,573,457,465,509,354,23,482,448,609,480,749,502,608,453,483,452,895,352,775,774,534,479,430,544,572,743,434,459,790,515,427,441,428,887,726,464,612,532,550,451,458,442,607,507,885,841,450,454,513,508,485,490,438,551,2]), % 1.94/1.95 ['proof']). % 1.94/1.95 % SZS output end Proof % 1.94/1.95 % Total time :1.070000s %------------------------------------------------------------------------------